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- lm-evaluation-harness/lm_eval/tasks/babi/README.md +45 -0
- lm-evaluation-harness/lm_eval/tasks/babi/babi.yaml +20 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/_generate_configs.py +158 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/_default_template_yaml +15 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_college_medicine.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_college_physics.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_computer_security.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_high_school_european_history.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_high_school_world_history.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_international_law.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_machine_learning.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_moral_scenarios.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_philosophy.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_virology.yaml +8 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/_cot_prompts.json +0 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/_mmlu.yaml +6 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/_mmlu_flan_cot_fewshot_template_yaml +26 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_abstract_algebra.yaml +41 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_anatomy.yaml +57 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_astronomy.yaml +55 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_business_ethics.yaml +56 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_clinical_knowledge.yaml +35 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_biology.yaml +61 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_chemistry.yaml +38 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_computer_science.yaml +79 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_mathematics.yaml +50 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_medicine.yaml +52 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_physics.yaml +44 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_computer_security.yaml +36 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_conceptual_physics.yaml +33 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_econometrics.yaml +63 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_electrical_engineering.yaml +34 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_elementary_mathematics.yaml +41 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_formal_logic.yaml +53 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_global_facts.yaml +34 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_biology.yaml +54 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_chemistry.yaml +50 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_computer_science.yaml +71 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_european_history.yaml +169 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_geography.yaml +37 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_government_and_politics.yaml +43 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_macroeconomics.yaml +37 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_mathematics.yaml +37 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_microeconomics.yaml +40 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_physics.yaml +39 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_psychology.yaml +48 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_statistics.yaml +58 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_us_history.yaml +134 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_world_history.yaml +82 -0
- lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_human_aging.yaml +28 -0
lm-evaluation-harness/lm_eval/tasks/babi/README.md
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# bAbI
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### Paper
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Title: Towards ai-complete question answering: A set of prerequisite toy tasks
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Abstract: https://arxiv.org/abs/1502.05698
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One long-term goal of machine learning research is to produce methods that are applicable to reasoning and natural language, in particular building an intelligent dialogue agent. To measure progress towards that goal, we argue for the usefulness of a set of proxy tasks that evaluate reading comprehension via question answering. Our tasks measure understanding in several ways: whether a system is able to answer questions via chaining facts, simple induction, deduction and many more. The tasks are designed to be prerequisites for any system that aims to be capable of conversing with a human. We believe many existing learning systems can currently not solve them, and hence our aim is to classify these tasks into skill sets, so that researchers can identify (and then rectify) the failings of their systems. We also extend and improve the recently introduced Memory Networks model, and show it is able to solve some, but not all, of the tasks.
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Homepage: https://github.com/facebookarchive/bAbI-tasks
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### Citation
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```
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@article{weston2015towards,
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title={Towards ai-complete question answering: A set of prerequisite toy tasks},
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author={Weston, Jason and Bordes, Antoine and Chopra, Sumit and Rush, Alexander M and Van Merri{\"e}nboer, Bart and Joulin, Armand and Mikolov, Tomas},
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journal={arXiv preprint arXiv:1502.05698},
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year={2015}
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}
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```
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### Groups and Tasks
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#### Groups
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* Not part of a group yet
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#### Tasks
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* `babi`
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### Checklist
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For adding novel benchmarks/datasets to the library:
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* [ ] Is the task an existing benchmark in the literature?
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* [ ] Have you referenced the original paper that introduced the task?
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* [ ] If yes, does the original paper provide a reference implementation? If so, have you checked against the reference implementation and documented how to run such a test?
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If other tasks on this dataset are already supported:
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* [ ] Is the "Main" variant of this task clearly denoted?
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* [ ] Have you provided a short sentence in a README on what each new variant adds / evaluates?
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* [ ] Have you noted which, if any, published evaluation setups are matched by this variant?
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lm-evaluation-harness/lm_eval/tasks/babi/babi.yaml
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task: babi
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dataset_path: Muennighoff/babi
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dataset_name: null
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output_type: generate_until
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training_split: train
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validation_split: valid
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test_split: test
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doc_to_text: "Passage: {{passage}}Question: {{question}}\nAnswer:"
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doc_to_target: " {{answer}}"
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target_delimiter: ""
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generation_kwargs:
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until:
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- "\n"
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- "Passage:"
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metric_list:
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- metric: exact_match
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aggregation: mean
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higher_is_better: true
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metadata:
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version: 1.0
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lm-evaluation-harness/lm_eval/tasks/mmlu/_generate_configs.py
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"""
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Take in a YAML, and output all "other" splits with this YAML
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"""
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import argparse
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import logging
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import os
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import yaml
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from tqdm import tqdm
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eval_logger = logging.getLogger("lm-eval")
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SUBJECTS = {
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"abstract_algebra": "stem",
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"anatomy": "stem",
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"astronomy": "stem",
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"business_ethics": "other",
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"clinical_knowledge": "other",
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"college_biology": "stem",
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"college_chemistry": "stem",
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"college_computer_science": "stem",
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"college_mathematics": "stem",
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"college_medicine": "other",
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"college_physics": "stem",
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"computer_security": "stem",
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"conceptual_physics": "stem",
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"econometrics": "social_sciences",
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"electrical_engineering": "stem",
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"elementary_mathematics": "stem",
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"formal_logic": "humanities",
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"global_facts": "other",
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"high_school_biology": "stem",
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"high_school_chemistry": "stem",
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"high_school_computer_science": "stem",
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"high_school_european_history": "humanities",
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"high_school_geography": "social_sciences",
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"high_school_government_and_politics": "social_sciences",
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"high_school_macroeconomics": "social_sciences",
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"high_school_mathematics": "stem",
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"high_school_microeconomics": "social_sciences",
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"high_school_physics": "stem",
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"high_school_psychology": "social_sciences",
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"high_school_statistics": "stem",
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"high_school_us_history": "humanities",
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"high_school_world_history": "humanities",
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"human_aging": "other",
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"human_sexuality": "social_sciences",
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"international_law": "humanities",
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"jurisprudence": "humanities",
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"logical_fallacies": "humanities",
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"machine_learning": "stem",
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"management": "other",
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"marketing": "other",
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"medical_genetics": "other",
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"miscellaneous": "other",
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"moral_disputes": "humanities",
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"moral_scenarios": "humanities",
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"nutrition": "other",
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"philosophy": "humanities",
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"prehistory": "humanities",
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"professional_accounting": "other",
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"professional_law": "humanities",
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"professional_medicine": "other",
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"professional_psychology": "social_sciences",
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"public_relations": "social_sciences",
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"security_studies": "social_sciences",
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"sociology": "social_sciences",
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"us_foreign_policy": "social_sciences",
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"virology": "other",
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"world_religions": "humanities",
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}
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def parse_args():
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parser = argparse.ArgumentParser()
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parser.add_argument("--base_yaml_path", required=True)
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parser.add_argument("--save_prefix_path", default="mmlu")
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parser.add_argument("--cot_prompt_path", default=None)
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parser.add_argument("--task_prefix", default="")
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parser.add_argument("--group_prefix", default="")
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return parser.parse_args()
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if __name__ == "__main__":
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args = parse_args()
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# get filename of base_yaml so we can `"include": ` it in our "other" YAMLs.
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base_yaml_name = os.path.split(args.base_yaml_path)[-1]
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with open(args.base_yaml_path, encoding="utf-8") as f:
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base_yaml = yaml.full_load(f)
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if args.cot_prompt_path is not None:
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import json
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with open(args.cot_prompt_path, encoding="utf-8") as f:
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cot_file = json.load(f)
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ALL_CATEGORIES = []
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for subject, category in tqdm(SUBJECTS.items()):
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if category not in ALL_CATEGORIES:
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ALL_CATEGORIES.append(category)
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if args.cot_prompt_path is not None:
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description = cot_file[subject]
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else:
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description = f"The following are multiple choice questions (with answers) about {' '.join(subject.split('_'))}.\n\n"
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yaml_dict = {
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"include": base_yaml_name,
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"group": f"mmlu_{args.task_prefix}_{category}"
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if args.task_prefix != ""
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else f"mmlu_{category}",
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"group_alias": category.replace("_", " "),
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"task": f"mmlu_{args.task_prefix}_{subject}"
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if args.task_prefix != ""
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else f"mmlu_{subject}",
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"task_alias": subject.replace("_", " "),
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"dataset_name": subject,
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"description": description,
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}
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file_save_path = args.save_prefix_path + f"_{subject}.yaml"
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eval_logger.info(f"Saving yaml for subset {subject} to {file_save_path}")
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with open(file_save_path, "w", encoding="utf-8") as yaml_file:
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yaml.dump(
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yaml_dict,
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yaml_file,
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allow_unicode=True,
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default_style='"',
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)
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if args.task_prefix != "":
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mmlu_subcategories = [
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f"mmlu_{args.task_prefix}_{category}" for category in ALL_CATEGORIES
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]
|
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else:
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mmlu_subcategories = [f"mmlu_{category}" for category in ALL_CATEGORIES]
|
140 |
+
|
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if args.group_prefix != "":
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file_save_path = args.group_prefix + ".yaml"
|
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else:
|
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file_save_path = args.save_prefix_path + ".yaml"
|
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+
|
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eval_logger.info(f"Saving benchmark config to {file_save_path}")
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147 |
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with open(file_save_path, "w", encoding="utf-8") as yaml_file:
|
148 |
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yaml.dump(
|
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{
|
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"group": f"mmlu_{args.task_prefix}"
|
151 |
+
if args.task_prefix != ""
|
152 |
+
else "mmlu",
|
153 |
+
"task": mmlu_subcategories,
|
154 |
+
},
|
155 |
+
yaml_file,
|
156 |
+
indent=4,
|
157 |
+
default_flow_style=False,
|
158 |
+
)
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/_default_template_yaml
ADDED
@@ -0,0 +1,15 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
dataset_path: hails/mmlu_no_train # a copy of `cais/mmlu` with no auxiliary_train split
|
2 |
+
test_split: test
|
3 |
+
fewshot_split: dev
|
4 |
+
fewshot_config:
|
5 |
+
sampler: first_n
|
6 |
+
output_type: multiple_choice
|
7 |
+
doc_to_text: "{{question.strip()}}\nA. {{choices[0]}}\nB. {{choices[1]}}\nC. {{choices[2]}}\nD. {{choices[3]}}\nAnswer:"
|
8 |
+
doc_to_choice: ["A", "B", "C", "D"]
|
9 |
+
doc_to_target: answer
|
10 |
+
metric_list:
|
11 |
+
- metric: acc
|
12 |
+
aggregation: mean
|
13 |
+
higher_is_better: true
|
14 |
+
metadata:
|
15 |
+
version: 0.0
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_college_medicine.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_medicine"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ medicine.\n\n"
|
4 |
+
"group": "mmlu_other"
|
5 |
+
"group_alias": "other"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_college_medicine"
|
8 |
+
"task_alias": "college_medicine"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_college_physics.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_physics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ physics.\n\n"
|
4 |
+
"group": "mmlu_stem"
|
5 |
+
"group_alias": "stem"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_college_physics"
|
8 |
+
"task_alias": "college_physics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_computer_security.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "computer_security"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about computer\
|
3 |
+
\ security.\n\n"
|
4 |
+
"group": "mmlu_stem"
|
5 |
+
"group_alias": "stem"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_computer_security"
|
8 |
+
"task_alias": "computer_security"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_high_school_european_history.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_european_history"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school european history.\n\n"
|
4 |
+
"group": "mmlu_humanities"
|
5 |
+
"group_alias": "humanities"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_high_school_european_history"
|
8 |
+
"task_alias": "high_school_european_history"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_high_school_world_history.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_world_history"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school world history.\n\n"
|
4 |
+
"group": "mmlu_humanities"
|
5 |
+
"group_alias": "humanities"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_high_school_world_history"
|
8 |
+
"task_alias": "high_school_world_history"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_international_law.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "international_law"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about international\
|
3 |
+
\ law.\n\n"
|
4 |
+
"group": "mmlu_humanities"
|
5 |
+
"group_alias": "humanities"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_international_law"
|
8 |
+
"task_alias": "international_law"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_machine_learning.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "machine_learning"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about machine\
|
3 |
+
\ learning.\n\n"
|
4 |
+
"group": "mmlu_stem"
|
5 |
+
"group_alias": "stem"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_machine_learning"
|
8 |
+
"task_alias": "machine_learning"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_moral_scenarios.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "moral_scenarios"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about moral\
|
3 |
+
\ scenarios.\n\n"
|
4 |
+
"group": "mmlu_humanities"
|
5 |
+
"group_alias": "humanities"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_moral_scenarios"
|
8 |
+
"task_alias": "moral_scenarios"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_philosophy.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "philosophy"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about philosophy.\n\
|
3 |
+
\n"
|
4 |
+
"group": "mmlu_humanities"
|
5 |
+
"group_alias": "humanities"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_philosophy"
|
8 |
+
"task_alias": "philosophy"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/default/mmlu_virology.yaml
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "virology"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about virology.\n\
|
3 |
+
\n"
|
4 |
+
"group": "mmlu_other"
|
5 |
+
"group_alias": "other"
|
6 |
+
"include": "_default_template_yaml"
|
7 |
+
"task": "mmlu_virology"
|
8 |
+
"task_alias": "virology"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/_cot_prompts.json
ADDED
The diff for this file is too large to render.
See raw diff
|
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/_mmlu.yaml
ADDED
@@ -0,0 +1,6 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
group: mmlu_flan_cot_fewshot
|
2 |
+
task:
|
3 |
+
- mmlu_flan_cot_fewshot_stem
|
4 |
+
- mmlu_flan_cot_fewshot_other
|
5 |
+
- mmlu_flan_cot_fewshot_social_sciences
|
6 |
+
- mmlu_flan_cot_fewshot_humanities
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/_mmlu_flan_cot_fewshot_template_yaml
ADDED
@@ -0,0 +1,26 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
dataset_path: hails/mmlu_no_train # a copy of `cais/mmlu` with no auxiliary_train split
|
2 |
+
validation_split: validation
|
3 |
+
fewshot_split: dev
|
4 |
+
output_type: generate_until
|
5 |
+
doc_to_text: "Q: {{question.strip()}}\n(A) {{choices[0]}} (B) {{choices[1]}} (C) {{choices[2]}} (D) {{choices[3]}}\nA: Let's think step by step."
|
6 |
+
doc_to_target: "{{['(A)', '(B)', '(C)', '(D)'][answer]}}"
|
7 |
+
filter_list:
|
8 |
+
- name: "get-answer"
|
9 |
+
filter:
|
10 |
+
- function: "regex"
|
11 |
+
regex_pattern: "(?<=The answer is )(.*)(?=.)"
|
12 |
+
- function: "take_first"
|
13 |
+
generation_kwargs:
|
14 |
+
until:
|
15 |
+
- "</s>"
|
16 |
+
do_sample: false
|
17 |
+
temperature: 0.0
|
18 |
+
num_fewshot: 0
|
19 |
+
metric_list:
|
20 |
+
- metric: exact_match
|
21 |
+
aggregation: mean
|
22 |
+
higher_is_better: true
|
23 |
+
ignore_case: true
|
24 |
+
ignore_punctuation: true
|
25 |
+
metadata:
|
26 |
+
version: 0.0
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_abstract_algebra.yaml
ADDED
@@ -0,0 +1,41 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "abstract_algebra"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about abstract\
|
3 |
+
\ algebra.\n\nQ: Statement 1 | Every element of a group generates a cyclic subgroup\
|
4 |
+
\ of the group. Statement 2 | The symmetric group S_10 has 10 elements.\n(A) True,\
|
5 |
+
\ True (B) False, False (C) True, False (D) False, True\nA: Let's think step by\
|
6 |
+
\ step. A cyclic group is a group that is generated by a single element. Hence a\
|
7 |
+
\ subgroup generated by a single element of a group is cyclic and Statement 1 is\
|
8 |
+
\ True. The answer is (C).\n\nQ: The symmetric group $S_n$ has $\nactorial{n}$ elements,\
|
9 |
+
\ hence it is not true that $S_{10}$ has 10 elements.\nFind the characteristic of\
|
10 |
+
\ the ring 2Z.\n(A) 0 (B) 3 (C) 12 (D) 30\nA: Let's think step by step. A characteristic\
|
11 |
+
\ of a ring is R is $n$ if the statement $ka = 0$ for all $a\\in 2Z$ implies that\
|
12 |
+
\ $k$ is a multiple of $n$. Assume that $ka = 0$ for all $a\\in 2Z$ for some $k$.\
|
13 |
+
\ In particular $2k = 0$. Hence $k=0$ and $n=0$. The answer is (A).\n\nQ: Statement\
|
14 |
+
\ 1| Every function from a finite set onto itself must be one to one. Statement\
|
15 |
+
\ 2 | Every subgroup of an abelian group is abelian.\n(A) True, True (B) False,\
|
16 |
+
\ False (C) True, False (D) False, True\nA: Let's think step by step. Statement\
|
17 |
+
\ 1 is true. Let $S$ be a finite set. If $f:S \nightarrow S$ is a onto function,\
|
18 |
+
\ then $|S| = |f(S)|$. If $f$ was not one to one, then for finite domain $S$ the\
|
19 |
+
\ image would have less than $S$ elements, a contradiction.\nStatement 2 is true.\
|
20 |
+
\ Let $G$ be an abelian group and $H$ be a subgroup of $G$. We need to show that\
|
21 |
+
\ $H$ is abelian. Let $a,b \\in H$. Then $a,b \\in G$ and $ab=ba$. Since $G$ is\
|
22 |
+
\ abelian, $ab=ba$. Since $H$ is a subgroup of $G$, $ab \\in H$. Therefore, $ab=ba$\
|
23 |
+
\ and $H$ is abelian. The answer is (A).\n\nQ: Statement 1 | If aH is an element\
|
24 |
+
\ of a factor group, then |aH| divides |a|. Statement 2 | If H and K are subgroups\
|
25 |
+
\ of G then HK is a subgroup of G.\n(A) True, True (B) False, False (C) True, False\
|
26 |
+
\ (D) False, True\nA: Let's think step by step. Statement 2 is false. Let $H$ be\
|
27 |
+
\ a subgroup of $S_3$ generated by the cycle $(1,2)$ and $K$ be a subgroup of $S_3$\
|
28 |
+
\ generated by the cycle $(1,3)$. Both $H$ and $K$ have two elements, the generators\
|
29 |
+
\ and the identity. However $HK$ contains cycles (1,2), (1,3) and (2,3,1), but the\
|
30 |
+
\ inverse of (2,3,1) is (2,1,3) and it does not belong to HK, hence HK is not a\
|
31 |
+
\ subgroup. The answer is (B).\n\nQ: Find all c in Z_3 such that Z_3[x]/(x^2 + c)\
|
32 |
+
\ is a field.\n(A) 0 (B) 1 (C) 2 (D) 3\nA: Let's think step by step. Z_3[x]/(x^2\
|
33 |
+
\ + c) is a field if and only if x^2 + c does not have roots in Z_3. That is x^2\
|
34 |
+
\ + c != 0 for every x in Z_3. If c = 0, then x^2 + c = x^2 has root 0. If c = 1\
|
35 |
+
\ then x^2 + c = x^2 + 1 = 0 + 1 for x = 0, 1 + 1 = 2 for x = 1 and 1 + 1 = 2 for\
|
36 |
+
\ x = 2, hence x^2 + 1 does not have any roots. For c = 2 the polynomial x^2 + 2\
|
37 |
+
\ has two roots at x = 1 and x = 2. Hence Z_3[x]/(x^2 + c) is a field if and only\
|
38 |
+
\ if c = 1. The answer is (B).\n\n"
|
39 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
40 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
41 |
+
"task": "mmlu_flan_cot_fewshot_abstract_algebra"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_anatomy.yaml
ADDED
@@ -0,0 +1,57 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "anatomy"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about anatomy.\n\
|
3 |
+
\nQ: Which of the following is the body cavity that contains the pituitary gland?\n\
|
4 |
+
(A) Abdominal (B) Cranial (C) Pleural (D) Spinal\nA: Let's think step by step. We\
|
5 |
+
\ refer to Wikipedia articles on anatomy for help. Let’s solve this problem step\
|
6 |
+
\ by step. The pituitary gland is the major endocrine gland attached to the base\
|
7 |
+
\ of the brain, and it is contained in the Cranial cavity. The answer is (B).\n\n\
|
8 |
+
Q: Which of these branches of the trigeminal nerve contain somatic motor processes?\n\
|
9 |
+
(A) The supraorbital nerve (B) The infraorbital nerve (C) The mental nerve (D) None\
|
10 |
+
\ of the above\nA: Let's think step by step. We refer to Wikipedia articles on anatomy\
|
11 |
+
\ for help. Let’s solve this problem step by step. \nWe know the following: (A)\
|
12 |
+
\ The supraorbital nerve (also known as the frontal nerve) is the largest branch\
|
13 |
+
\ of the ophthalmic nerve and branch of ophthalmic division of the trigeminal nerve.\
|
14 |
+
\ (B) The infraorbital nerve is a branch of the maxillary division of the trigeminal\
|
15 |
+
\ nerve. (C) The mental nerve is a branch of the mandibular division of the trigeminal\
|
16 |
+
\ nerve. Because all these nerves are purely sensory nerves and do not contain any\
|
17 |
+
\ somatic motor processes. Therefore, the answer should be none of the above, which\
|
18 |
+
\ is (D). The answer is (D).\n\nQ: In Angle's Class II Div 2 occlusion there is\n\
|
19 |
+
(A) excess overbite of the upper lateral incisors. (B) negative overjet of the upper\
|
20 |
+
\ central incisors. (C) excess overjet of the upper lateral incisors. (D) excess\
|
21 |
+
\ overjet of the upper central incisors.\nA: Let's think step by step. We refer\
|
22 |
+
\ to Wikipedia articles on anatomy for help. Let’s solve this problem step by step.\
|
23 |
+
\ This is a question related to anatomy and orthodontics. Excess overjet is associated\
|
24 |
+
\ with Class II occlusions; therefore, we can safely eliminate (B) from the list,\
|
25 |
+
\ as negative overjet is often associated with Class III occlusions. Now, we need\
|
26 |
+
\ to determine the location of the excess overjet, and that would be the upper (maxillary)\
|
27 |
+
\ lateral incisors. Only (C) has the correct information. The answer is (C).\n\n\
|
28 |
+
Q: The pleura\n(A) have no sensory innervation. (B) are separated by a 2 mm space.\
|
29 |
+
\ (C) extend into the neck. (D) are composed of respiratory epithelium.\nA: Let's\
|
30 |
+
\ think step by step. We refer to Wikipedia articles on anatomy for help. Let’s\
|
31 |
+
\ solve this problem step by step. First, recall that the pleura refers to the thin\
|
32 |
+
\ layer of tissue that covers the lungs and lines the interior wall of the chest\
|
33 |
+
\ cavity. Now, let’s look at each option:\nOption (A): “The pleura have no sensory\
|
34 |
+
\ innervation.” This information is not correct. The pleura do have a sensory innervation.\n\
|
35 |
+
Option (B): “The pleura are separated by a 2 mm space.” This information is not\
|
36 |
+
\ correct. There is a very thin “potential” space between the layers of the pleura;\
|
37 |
+
\ however, it is typically filled with serous pleural fluid. \nOption (C): “The\
|
38 |
+
\ pleura extend into the neck.” This information is actuakky true. The cervical\
|
39 |
+
\ pleura, also known as the dome of the pleuradome of the pleura, lines the extendsiton\
|
40 |
+
\ of the pleural cavity into the neck.\nOption (D): “The pleura are composed of\
|
41 |
+
\ respiratory epithelium.” This information is not correct. The pleaura are composed\
|
42 |
+
\ of connective tissue (CT).\nBecause (A), (B), and (D) are all incorrect, (D) is\
|
43 |
+
\ the only correct answer. The answer is (C).\n\nQ: What is the embryological origin\
|
44 |
+
\ of the hyoid bone?\n(A) The first pharyngeal arch (B) The first and second pharyngeal\
|
45 |
+
\ arches (C) The second pharyngeal arch (D) The second and third pharyngeal arches\n\
|
46 |
+
A: Let's think step by step. We refer to Wikipedia articles on anatomy for help.\
|
47 |
+
\ Let’s solve this problem step by step. The hyoid bone, which is also known as\
|
48 |
+
\ the hyooid, is a a small U-shaped bone located in the anterior neck. In its resting\
|
49 |
+
\ position, it lies between the ase of the mandible and the third cervical vertebrae.\
|
50 |
+
\ We know that the second and the third pharyngeal arches give rise to the horns\
|
51 |
+
\ of the hyoid bone; therefore, the embryological origin of the hyoid bone are the\
|
52 |
+
\ second and the third pharyngeal arches—this information is covered in the last\
|
53 |
+
\ option (D). Therefore, we conclude that (D) must be the correct answer. The answer\
|
54 |
+
\ is (D).\n\n"
|
55 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
56 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
57 |
+
"task": "mmlu_flan_cot_fewshot_anatomy"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_astronomy.yaml
ADDED
@@ -0,0 +1,55 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "astronomy"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about astronomy.\n\
|
3 |
+
\nQ: Where do most short-period comets come from and how do we know?\n(A) The Kuiper\
|
4 |
+
\ belt; short period comets tend to be in the plane of the solar system just like\
|
5 |
+
\ the Kuiper belt. (B) The Kuiper belt; short period comets tend to come from random\
|
6 |
+
\ directions indicating a spherical distribution of comets called the Kuiper belt.\
|
7 |
+
\ (C) The asteroid belt; short period comets have orbital periods similar to asteroids\
|
8 |
+
\ like Vesta and are found in the plane of the solar system just like the asteroid\
|
9 |
+
\ belt. (D) The Oort cloud; short period comets tend to be in the plane of the solar\
|
10 |
+
\ system just like the Oort cloud.\nA: Let's think step by step. Most short-period\
|
11 |
+
\ comets come from the Kuiper belt, and we know because short period coments tend\
|
12 |
+
\ to be in the plane of the solar system, just like the Kuiper belt is. The answer\
|
13 |
+
\ is (A).\n\nQ: You are pushing a truck along a road. Would it be easier to accelerate\
|
14 |
+
\ this truck on Mars? Why? (Assume there is no friction)\n(A) It would be harder\
|
15 |
+
\ since the truck is heavier on Mars. (B) It would be easier since the truck is\
|
16 |
+
\ lighter on Mars. (C) It would be harder since the truck is lighter on Mars. (D)\
|
17 |
+
\ It would be the same no matter where you are.\nA: Let's think step by step. If\
|
18 |
+
\ we assume that there is no friction, the force needed to accelerate the truck\
|
19 |
+
\ is by Newton’s second law only dependent on the mass of the truck. Hence (A),\
|
20 |
+
\ (B) and (C) are incorrect since it doesn’t matter that it’s on Mars, and (D) is\
|
21 |
+
\ the correct answer. The answer is (D).\n\nQ: Say the pupil of your eye has a diameter\
|
22 |
+
\ of 5 mm and you have a telescope with an aperture of 50 cm. How much more light\
|
23 |
+
\ can the telescope gather than your eye?\n(A) 10000 times more (B) 100 times more\
|
24 |
+
\ (C) 1000 times more (D) 10 times more\nA: Let's think step by step. The amount\
|
25 |
+
\ of light is proportional to the aperture area $A = \\pi D^2/4$ for a lens with\
|
26 |
+
\ diameter $D$, so the relative amounts of light between the eye with diameter 5mm\
|
27 |
+
\ and the telescope with diameter 50mm is $(50 cm)^2/(5mm)^2 = 10000$. The answer\
|
28 |
+
\ is (A).\n\nQ: Why isn't there a planet where the asteroid belt is located?\n(A)\
|
29 |
+
\ A planet once formed here but it was broken apart by a catastrophic collision.\
|
30 |
+
\ (B) There was not enough material in this part of the solar nebula to form a planet.\
|
31 |
+
\ (C) There was too much rocky material to form a terrestrial planet but not enough\
|
32 |
+
\ gaseous material to form a jovian planet. (D) Resonance with Jupiter prevented\
|
33 |
+
\ material from collecting together to form a planet.\nA: Let's think step by step.\
|
34 |
+
\ The asteroid belt is a stellar disc consisting of a large number of asteroids\
|
35 |
+
\ between Mars and Jupiter's orbits. The asteroids in this belt are affected by\
|
36 |
+
\ the gravitational pull from both other asteroids and nearby planets. Due to the\
|
37 |
+
\ strong gravitational force of Jupiter there are resonances that give rise to low\
|
38 |
+
\ density regions of asteroids known as the Kirkwood gap. So (B) and (C) are not\
|
39 |
+
\ correct since it’s not a lack of material that prevents a planet from being formed,\
|
40 |
+
\ and (A) is incorrect because the Kirkwood gap would have prevented a planet from\
|
41 |
+
\ forming in the first place, and (D) is the correct option. The answer is (D).\n\
|
42 |
+
\nQ: Why is Mars red?\n(A) Because the surface is covered with heavily oxidized\
|
43 |
+
\ (\"rusted\") minerals. (B) Because the atmosphere scatters more light at bluer\
|
44 |
+
\ wavelengths transmitting mostly red light. (C) Because Mars is covered with ancient\
|
45 |
+
\ lava flows which are red in color. (D) Because flowing water on Mars's surface\
|
46 |
+
\ altered the surface minerals several billion years ago.\nA: Let's think step by\
|
47 |
+
\ step. Option (B) is not correct because if the red color was caused by the scattering\
|
48 |
+
\ off the atmosphere, then the earth with a much thicker atmosphere would also look\
|
49 |
+
\ red. Options (C) and (D) are not specific enough about why the color of the surface\
|
50 |
+
\ would be red, while (A) is correct because it explains that the surface is red\
|
51 |
+
\ due to the rusted materials on the surface and the red color comes from the rust.\
|
52 |
+
\ So the correct option is (A). The answer is (A).\n\n"
|
53 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
54 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
55 |
+
"task": "mmlu_flan_cot_fewshot_astronomy"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_business_ethics.yaml
ADDED
@@ -0,0 +1,56 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "business_ethics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about business\
|
3 |
+
\ ethics.\n\nQ: In contrast to _______, _______ aim to reward favourable behaviour\
|
4 |
+
\ by companies. The success of such campaigns have been heightened through the use\
|
5 |
+
\ of ___________, which allow campaigns to facilitate the company in achieving _________\
|
6 |
+
\ .\n(A) Buycotts, Boycotts, Blockchain technology, Charitable donations (B) Buycotts,\
|
7 |
+
\ Boycotts, Digital technology, Increased Sales (C) Boycotts, Buyalls, Blockchain\
|
8 |
+
\ technology, Charitable donations (D) Boycotts, Buycotts, Digital technology, Increased\
|
9 |
+
\ Sales\nA: Let's think step by step. We refer to Wikipedia articles on business\
|
10 |
+
\ ethics for help. The sentence that best uses the possible options above is “In\
|
11 |
+
\ contrast to *boycotts*, *buycotts* aim to reward favourable behavior by companies.\
|
12 |
+
\ The success of such campaigns have been heightened through the use of *digital\
|
13 |
+
\ technology*, which allow campaigns to facilitate the company in achieving *increased\
|
14 |
+
\ sales*.” The answer is (D).\n\nQ: _______ is the direct attempt to formally or\
|
15 |
+
\ informally manage ethical issues or problems, through specific policies, practices\
|
16 |
+
\ and programmes.\n(A) Corporate social responsibility (B) Business ethics management\
|
17 |
+
\ (C) Sustainability (D) Environmental management\nA: Let's think step by step.\
|
18 |
+
\ We refer to Wikipedia articles on business ethics for help. The direct attempt\
|
19 |
+
\ manage ethical issues through specific policies, practices, and programs is business\
|
20 |
+
\ ethics management. The answer is (B).\n\nQ: Three contrasting tactics that CSO's\
|
21 |
+
\ can engage in to meet their aims are ________ which typically involves research\
|
22 |
+
\ and communication, ________, which may involve physically attacking a company's\
|
23 |
+
\ operations or ________, often involving some form of _______.\n(A) Non-violent\
|
24 |
+
\ direct action, Violent direct action, Indirect action, Boycott (B) Indirect action,\
|
25 |
+
\ Instrumental action, Non-violent direct action, Information campaign (C) Indirect\
|
26 |
+
\ action, Violent direct action, Non-violent direct-action Boycott (D) Non-violent\
|
27 |
+
\ direct action, Instrumental action, Indirect action, Information campaign\nA:\
|
28 |
+
\ Let's think step by step. We refer to Wikipedia articles on business ethics for\
|
29 |
+
\ help. The sentence that best uses the possible options above is “Three contrasting\
|
30 |
+
\ tactics that CSO's can engage in to meet their aims are *indirect action*, which\
|
31 |
+
\ typically involves research and communication, *violent direct action*, which\
|
32 |
+
\ may involve physically attacking a company's operations or *non-violent direct\
|
33 |
+
\ action*, often involving some form of *boycott*.” The answer is (C).\n\nQ: To\
|
34 |
+
\ ensure the independence of the non-executive board members, there are a number\
|
35 |
+
\ of steps which can be taken, which include non-executives being drawn from _______\
|
36 |
+
\ the company, being appointed for a _________ time period as well as being appointed\
|
37 |
+
\ _________.\n(A) Outside, Limited, Independently (B) Inside, Limited, Intermittently\
|
38 |
+
\ (C) Outside, Unlimited, Intermittently (D) Inside, Unlimited, Independently\n\
|
39 |
+
A: Let's think step by step. We refer to Wikipedia articles on business ethics for\
|
40 |
+
\ help. The sentence that best uses the possible options above is “To ensure the\
|
41 |
+
\ independence of the non-executive board members, there are a number of steps which\
|
42 |
+
\ can be taken, which include non-executives being draw from *outside* the company,\
|
43 |
+
\ being appointed for a *limited* time period as well as being imported *independently*.\
|
44 |
+
\ The answer is (A).\n\nQ: Beyond the business case for engaging in CSR there are\
|
45 |
+
\ a number of moral arguments relating to: negative _______, the _______that corporations\
|
46 |
+
\ possess and the ________ of business and society.\n(A) Externalities, Power, Independence\
|
47 |
+
\ (B) Publicity, Insubstantial resources, Mutual dependence (C) Publicity, Power,\
|
48 |
+
\ Independence (D) Externalities, Power, Mutual dependence\nA: Let's think step\
|
49 |
+
\ by step. We refer to Wikipedia articles on business ethics for help. The sentence\
|
50 |
+
\ that best uses the possible options above is “Beyond the business case for engaging\
|
51 |
+
\ the CSR there are a number of moral arguments relating to: negative *externalities*,\
|
52 |
+
\ the *power* that corporations possess and the *mutual independence* of business\
|
53 |
+
\ and society. The answer is (D).\n\n"
|
54 |
+
"group": "mmlu_flan_cot_fewshot_other"
|
55 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
56 |
+
"task": "mmlu_flan_cot_fewshot_business_ethics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_clinical_knowledge.yaml
ADDED
@@ -0,0 +1,35 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "clinical_knowledge"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about clinical\
|
3 |
+
\ knowledge.\n\nQ: Glycolysis is the name given to the pathway involving the conversion\
|
4 |
+
\ of:\n(A) glycogen to glucose-1-phosphate. (B) glycogen or glucose to fructose.\
|
5 |
+
\ (C) glycogen or glucose to pyruvate or lactate. (D) glycogen or glucose to pyruvate\
|
6 |
+
\ or acetyl CoA.\nA: Let's think step by step. We refer to Wikipedia articles on\
|
7 |
+
\ clinical knowledge for help. Glycolysis is the name given to the pathway involving\
|
8 |
+
\ conversion of glycogen or glucose to pyruvate or lactate. The answer is (C).\n\
|
9 |
+
\nQ: What is the difference between a male and a female catheter?\n(A) Male and\
|
10 |
+
\ female catheters are different colours. (B) Male catheters are longer than female\
|
11 |
+
\ catheters. (C) Male catheters are bigger than female catheters. (D) Female catheters\
|
12 |
+
\ are longer than male catheters.\nA: Let's think step by step. We refer to Wikipedia\
|
13 |
+
\ articles on clinical knowledge for help. The difference between a male and female\
|
14 |
+
\ catheter is that male catheters tend to be longer than female catheters. The answer\
|
15 |
+
\ is (B).\n\nQ: How many attempts should you make to cannulate a patient before\
|
16 |
+
\ passing the job on to a senior colleague, according to the medical knowledge of\
|
17 |
+
\ 2020?\n(A) 4 (B) 3 (C) 2 (D) 1\nA: Let's think step by step. We refer to Wikipedia\
|
18 |
+
\ articles on clinical knowledge for help. According to the medical protocol as\
|
19 |
+
\ of 2020, you should make two attempts to cannulate a patient before passing the\
|
20 |
+
\ job on to a more-senior practitioner. The answer is (C).\n\nQ: In the assessment\
|
21 |
+
\ of the hand function which of the following is true?\n(A) Abduction of the thumb\
|
22 |
+
\ is supplied by spinal root T2 (B) Opposition of the thumb by opponens policis\
|
23 |
+
\ is supplied by spinal root T1 (C) Finger adduction is supplied by the median nerve\
|
24 |
+
\ (D) Finger abduction is mediated by the palmar interossei\nA: Let's think step\
|
25 |
+
\ by step. We refer to Wikipedia articles on clinical knowledge for help. Of all\
|
26 |
+
\ the options, it is only true that the opposition of the thumb by opponens pollicis\
|
27 |
+
\ is supplied by spinal root T1. The answer is (B).\n\nQ: The energy for all forms\
|
28 |
+
\ of muscle contraction is provided by:\n(A) ATP. (B) ADP. (C) phosphocreatine.\
|
29 |
+
\ (D) oxidative phosphorylation.\nA: Let's think step by step. We refer to Wikipedia\
|
30 |
+
\ articles on clinical knowledge for help. The energy for muscular contraction is\
|
31 |
+
\ provided by ATP (adenosine triphosphate), which is the powerhouse of the cell.\
|
32 |
+
\ The answer is (A).\n\n"
|
33 |
+
"group": "mmlu_flan_cot_fewshot_other"
|
34 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
35 |
+
"task": "mmlu_flan_cot_fewshot_clinical_knowledge"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_biology.yaml
ADDED
@@ -0,0 +1,61 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_biology"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ biology.\n\nQ: Which of the following represents an accurate statement concerning\
|
4 |
+
\ arthropods?\n(A) They possess an exoskeleton composed primarily of peptidoglycan.\
|
5 |
+
\ (B) They possess an open circulatory system with a dorsal heart. (C) They are\
|
6 |
+
\ members of a biologically unsuccessful phylum incapable of exploiting diverse\
|
7 |
+
\ habitats and nutrition sources. (D) They lack paired, jointed appendages.\nA:\
|
8 |
+
\ Let's think step by step. Peptidoglycan is known to comprise the plasma membrane\
|
9 |
+
\ of most bacteria, rather than the exoskeleton of arthropods, which is made of\
|
10 |
+
\ chitin, which rules out (A). The answer (C) is false because arthropods are a\
|
11 |
+
\ highly successful phylum. Likewise, arthropods have paired, jointed appendages,\
|
12 |
+
\ which rules out (D). The only remaining option is (B), as arthropods have an open\
|
13 |
+
\ circulatory system with a dorsal tubular heart. The answer is (B).\n\nQ: In a\
|
14 |
+
\ given population, 1 out of every 400 people has a cancer caused by a completely\
|
15 |
+
\ recessive allele, b. Assuming the population is in Hardy-Weinberg equilibrium,\
|
16 |
+
\ which of the following is the expected proportion of individuals who carry the\
|
17 |
+
\ b allele but are not expected to develop the cancer?\n(A) 1/400 (B) 19/400 (C)\
|
18 |
+
\ 20/400 (D) 38/400\nA: Let's think step by step. According to the Hardy Weinberg\
|
19 |
+
\ Law, $p^2 + 2 p q + q^2 = 1$, and $p + q = 1$ where $p$ is the frequency of the\
|
20 |
+
\ dominant allele, $q$ is the frequency of the recessive allele, and $p^2$, $q^2$,\
|
21 |
+
\ and $2pq$ are the frequencies of dominant homozygous, recessive homozygous, and\
|
22 |
+
\ heterozygous individuals, respectively. The frequency of the recessive allele\
|
23 |
+
\ (q) is $\\sqrt{\frac{1}{400}} = 0.05$. We have $p = 1 - q = 0.95$. The frequency\
|
24 |
+
\ of heterozygous individuals is $2pq = 2 \\cdot 0.05 \\cdot 0.95 = 0.095$. The\
|
25 |
+
\ number of heterozygous individuals is equal to the frequency of heterozygous individuals\
|
26 |
+
\ times the size of the population, or $0.095 * 400 = 38$. So we end up with 38/400.\
|
27 |
+
\ The answer is (D).\n\nQ: According to the pressure-flow model of movement of phloem\
|
28 |
+
\ contents, photosynthate movement from source to sink is driven by\n(A) an ATP-dependent\
|
29 |
+
\ pressure-flow pump (B) a water-pressure potential gradient (C) transpiration (D)\
|
30 |
+
\ apoplastic diffusion\nA: Let's think step by step. It is a gradient in water pressure\
|
31 |
+
\ that induces the movement of phloem content, which refers to answer (B). The mechanism\
|
32 |
+
\ of movement does not rely on metabolism, which rules out (A). Transpiration refers\
|
33 |
+
\ to the exhalation of water vapor through plant stomata, and is also not related,\
|
34 |
+
\ which rules out (C). While the apoplastic pathway is one of two main pathways\
|
35 |
+
\ for water transport in plants, it is not central to the pressure flow model, which\
|
36 |
+
\ rules out (D). The answer is (B).\n\nQ: Which of the following contain DNA sequences\
|
37 |
+
\ required for the segregation of chromosomes in mitosis and meiosis?\n(A) Telomeres\
|
38 |
+
\ (B) Centromeres (C) Nucleosomes (D) Spliceosomes\nA: Let's think step by step.\
|
39 |
+
\ The genetic material in Telomeres is not used, which rules out (A). Nucleosomes\
|
40 |
+
\ are the repeating subunit that comprises chromatin packed in a cell nucleus, and\
|
41 |
+
\ do not specifically refer to DNA sequences necessary for segregating chromosomes\
|
42 |
+
\ in cell division, which rules out (C). A spliceosome is a large ribonucleoprotein\
|
43 |
+
\ that removes introns from transcribed pre-mRNA rather than governing chromosome\
|
44 |
+
\ segregation. Centromeres are directly responsible for segregating chromosomes\
|
45 |
+
\ in cell division. The answer is (B).\n\nQ: The presence of homologous structures\
|
46 |
+
\ in two different organisms, such as the humerus in the front limb of a human and\
|
47 |
+
\ a bird, indicates that\n(A) the human and bird are polyphyletic species (B) a\
|
48 |
+
\ human's and bird's evolution is convergent (C) the human and bird belong to a\
|
49 |
+
\ clade (D) the human and bird developed by analogy\nA: Let's think step by step.\
|
50 |
+
\ Polyphyletic species are organisms that are grouped due to having similar characteristics\
|
51 |
+
\ but which do not have a common ancestor. This is not the case for humans and birds,\
|
52 |
+
\ which rules out (A). Convergent evolution refers to the indepdendent development\
|
53 |
+
\ of similar features in different species at different periods, which is also not\
|
54 |
+
\ the case for humans and birds, which rules out (B). Analogy refers to the superficial\
|
55 |
+
\ resemblance of structures that have different origins, which is not the case for\
|
56 |
+
\ the human and bird forearms, which rules out (D). Humans and birds do belong to\
|
57 |
+
\ the same clade - a group of organisms composed of a common ancestor. The answer\
|
58 |
+
\ is (C).\n\n"
|
59 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
60 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
61 |
+
"task": "mmlu_flan_cot_fewshot_college_biology"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_chemistry.yaml
ADDED
@@ -0,0 +1,38 @@
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_chemistry"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ chemistry.\n\nQ: 3 Cl−(aq) + 4 CrO_4^2−(aq) + 23 H+(aq) → 3 HClO2(aq) + 4 Cr3+(aq)\
|
4 |
+
\ + 10 H2O(l). In the reaction shown above, Cl−(aq) behaves as\n(A) an acid (B)\
|
5 |
+
\ a base (C) a catalyst (D) a reducing agent\nA: Let's think step by step. A molecule\
|
6 |
+
\ that behaves as a base accepts an H+ ion (or proton) from another molecule, whereas\
|
7 |
+
\ a molecule that behaves as an acid donates an H+ ion (or proton) to another molecule.\
|
8 |
+
\ Neither of these is the case for Cl in this reaction, which rules out (A) and\
|
9 |
+
\ (B). A catalyst is a substance that only accelerates a reaction without itself\
|
10 |
+
\ undergoing chemical change, which is not the case here. This rules out (C). Instead,\
|
11 |
+
\ the $Cl^{-} molecules carry a negative charge, which they donate in the reaction\
|
12 |
+
\ to form 3 HClO2. This is the behavior of a reducing agent, or (D). The answer\
|
13 |
+
\ is (D).\n\nQ: Which of the following statements about the lanthanide elements\
|
14 |
+
\ is NOT true?\n(A) The most common oxidation state for the lanthanide elements\
|
15 |
+
\ is +3. (B) Lanthanide complexes often have high coordination numbers (> 6). (C)\
|
16 |
+
\ All of the lanthanide elements react with aqueous acid to liberate hydrogen. (D)\
|
17 |
+
\ The atomic radii of the lanthanide elements increase across the period from La\
|
18 |
+
\ to Lu.\nA: Let's think step by step. The atomic radii of the lanthanide elements\
|
19 |
+
\ in fact decrease across the period from La to Lu. Options (A), (B), and (C) are\
|
20 |
+
\ all true. This means that only (D) is NOT true. The answer is (D).\n\nQ: Which\
|
21 |
+
\ of the following lists the hydrides of group-14 elements in order of thermal stability,\
|
22 |
+
\ from lowest to highest?\n(A) PbH4 < SnH4 < GeH4 < SiH4 < CH4 (B) PbH4 < SnH4 <\
|
23 |
+
\ CH4 < GeH4 < SiH4 (C) CH4 < SiH4 < GeH4 < SnH4 < PbH4 (D) CH4 < PbH4 < GeH4 <\
|
24 |
+
\ SnH4 < SiH4\nA: Let's think step by step. The thermal stability of group-14 hydrides\
|
25 |
+
\ decreases as we move from the top of group 14 to the bottom. The order of elements\
|
26 |
+
\ in the group from top to bottom is C, Si, Ge, Sn, Pb. Therefore in order of increasing\
|
27 |
+
\ thermal stability we have PbH4, SnH4, GeH4, SiH4, and CH4, or answer (A). The\
|
28 |
+
\ answer is (A).\n\nQ: Predict the number of lines in the EPR spectrum of a solution\
|
29 |
+
\ of 13C-labelled methyl radical (13CH3•), assuming the lines do not overlap.\n\
|
30 |
+
(A) 4 (B) 3 (C) 6 (D) 24 (E) 8\nA: Let's think step by step. The electron paramagnetic\
|
31 |
+
\ resonance spectrum will be split by two forms of interactions. The first is the\
|
32 |
+
\ hyperfine interaction with the 13C (nuclear spin $I = \nrac{1}{2}$) which will\
|
33 |
+
\ split the spectrum into 2 lines. This will be further split into 4 lines by the\
|
34 |
+
\ interaction with three equivalent 1H nuclei. The total number of lines is therefore\
|
35 |
+
\ $2 \\cdot 4 = 8$. The answer is (E).\n\n"
|
36 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
37 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
38 |
+
"task": "mmlu_flan_cot_fewshot_college_chemistry"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_computer_science.yaml
ADDED
@@ -0,0 +1,79 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_computer_science"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ computer science.\n\nQ: Which of the following regular expressions is equivalent\
|
4 |
+
\ to (describes the same set of strings as) (a* + b)*(c + d)?\n(A) a*(c + d)+ b(c\
|
5 |
+
\ + d)\n(B) a*(c + d)* + b(c + d)*\n(C) a*(c + d)+ b*(c + d)\n(D) (a + b)*c +(a\
|
6 |
+
\ + b)*d\nA: Let's think step by step. We know that:\n1. (X* + Y)* = (X + Y)*\n\
|
7 |
+
2. X(Y + Z)? = XY + XZ\nUsing equation 1 we can rewrite (a* + b)*(c + d)? as:\n\
|
8 |
+
3. (a + b)*(c + d)?\nUsing equation 2 we can rewrite equation 3 as:\n(a + b)*c +\
|
9 |
+
\ (a + b)*d The answer is (D).\n\nQ: The Singleton design pattern is used to guarantee\
|
10 |
+
\ that only a single instance of a class may be instantiated. Which of the following\
|
11 |
+
\ is (are) true of this design pattern?\nI. The Singleton class has a static factory\
|
12 |
+
\ method to provide its instance.\nII. The Singleton class can be a subclass of\
|
13 |
+
\ another class.\nIII. The Singleton class has a private constructor.\n(A) I only\n\
|
14 |
+
(B) II only\n(C) III only\n(D) I, II, and III\nA: Let's think step by step. Statement\
|
15 |
+
\ I is a correct statement about a Singleton, because a Singleton restricts instantiation\
|
16 |
+
\ to a single, static method. Statement II is also correct, because there is no\
|
17 |
+
\ inherent restriction regarding the inheritance of a Singleton. Statement III is\
|
18 |
+
\ also correct, because a Singletons must be instantiated only once, so its constructor\
|
19 |
+
\ is made private to prevent any construction except via its static factory method.\n\
|
20 |
+
Given these facts, statements I, II, and III are all correct. The answer is (D).\n\
|
21 |
+
\nQ: A certain pipelined RISC machine has 8 general-purpose registers R0, R1, .\
|
22 |
+
\ . . , R7 and supports the following operations:\nADD Rs1, Rs2, Rd (Add Rs1 to\
|
23 |
+
\ Rs2 and put the sum in Rd)\nMUL Rs1, Rs2, Rd (Multiply Rs1 by Rs2 and put the\
|
24 |
+
\ product in Rd)\nAn operation normally takes one cycle; however, an operation takes\
|
25 |
+
\ two cycles if it produces a result required by the immediately following operation\
|
26 |
+
\ in an operation sequence.\nConsider the expression AB + ABC + BC, where variables\
|
27 |
+
\ A, B, C are located in registers R0, R1, R2. If the contents of these three registers\
|
28 |
+
\ must not be modified, what is the minimum number of clock cycles required for\
|
29 |
+
\ an operation sequence that computes the value of AB + ABC + BC?\n(A) 5 (B) 6 (C)\
|
30 |
+
\ 7 (D) 8\nA: Let's think step by step. First, we are given that A is in R0, B is\
|
31 |
+
\ in R1, and C is in R2.\nNext, we can see that we must compute three multiplies\
|
32 |
+
\ (AB, BC, and ABC) and two adds (AB + ABC, (AB + ABC) + BC) to compute our final\
|
33 |
+
\ answer, resulting in a minimum of five clock cycles.\nNext, we can see that there\
|
34 |
+
\ is no way to avoid at least one pipeline stall when computing our final answer,\
|
35 |
+
\ because to compute our final sum we must wait at least one cycle for the results\
|
36 |
+
\ from the previous stage to be ready. Thus, our minimum number of cycles must be\
|
37 |
+
\ 6.\nWe can verify that we can create a solution that requires only six cycles\
|
38 |
+
\ as follows:\ncompute AB: MUL R0, R1, R3\ncompute BC: MUL R1, R2, R4\ncompute ABC:\
|
39 |
+
\ MUL R3, R4, R5\ncompute AB + BC: ADD R3, R4, R6\nSTALL\ncompute AB + ABC + BC:\
|
40 |
+
\ ADD R5, R6, R7\nSo there are 6 cycles. The answer is (B).\n\nQ: A compiler generates\
|
41 |
+
\ code for the following assignment statement.\nG := (A + B) * C - (D + E) * F\n\
|
42 |
+
The target machine has a single accumulator and a single-address instruction set\
|
43 |
+
\ consisting of instructions load, store, add, subtract, and multiply. For the arithmetic\
|
44 |
+
\ operations, the left operand is taken from the accumulator and the result appears\
|
45 |
+
\ in the accumulator. The smallest possible number of instructions in the resulting\
|
46 |
+
\ code is\n(A) 5 (B) 6 (C) 7 (D) 9\nA: Let's think step by step. We can compute\
|
47 |
+
\ the final answer with the following sequence of operations:\n1. LOAD D (accumulator\
|
48 |
+
\ = D)\n2. ADD E (accumulator = D+E)\n3. MUL F (accumulator = (D+E)*F)\n4. STORE\
|
49 |
+
\ X (X = (D+E)*F)\n5. LOAD A (accumulator = A)\n6. ADD B (accumulator = A+B)\n\
|
50 |
+
7. MUL C (accumulator = (A+B)*C)\n8. SUB X (accumulator = (A+B)*C - (D+E)*F)\n\
|
51 |
+
9. STORE G (G = (A+B)*C - (D+E)*F)\nThis sequence takes 9 instructions. The answer\
|
52 |
+
\ is (D).\n\nQ: Consider a computer design in which multiple processors, each with\
|
53 |
+
\ a private cache memory, share global memory using a single bus. This bus is the\
|
54 |
+
\ critical system resource. Each processor can execute one instruction every 500\
|
55 |
+
\ nanoseconds as long as memory references are satisfied by its local cache. When\
|
56 |
+
\ a cache miss occurs, the processor is delayed for an additional 2,000 nanoseconds.\
|
57 |
+
\ During half of this additional delay, the bus is dedicated to serving the cache\
|
58 |
+
\ miss. During the other half, the processor cannot continue, but the bus is free\
|
59 |
+
\ to service requests from other processors. On average, each instruction requires\
|
60 |
+
\ 2 memory references. On average, cache misses occur on 1 percent of references.\
|
61 |
+
\ What proportion of the capacity of the bus would a single processor consume, ignoring\
|
62 |
+
\ delays due to competition from other processors?\n(A) 1/50 (B) 1/27 (C) 1/25 (D)\
|
63 |
+
\ 2/27\nA: Let's think step by step. We know that each instruction requires two\
|
64 |
+
\ memory references per instruction, and that there is an average cache miss rate\
|
65 |
+
\ of one percent.\nThus a given processor has:\n(1 cache miss / 100 references)\
|
66 |
+
\ * (2 references / instruction) =\n(2 cache misses / 100 instructions), so:\nmisses_per_instruction\
|
67 |
+
\ = 1 cache miss / 50 instructions.\nNext, we know that each instruction requires\
|
68 |
+
\ 500 nanoseconds when there is no cache miss, and 500 + 2000 = 2500 nanoseconds\
|
69 |
+
\ when there is a cache miss. Thus:\n50 instructions / (49 * 500) + (1 * 2500) nanoseconds,\
|
70 |
+
\ so:\ninstructions_per_ns = 50 instructions / 27000 nanoseconds.\nNow, we know\
|
71 |
+
\ that each cache miss locks the bus for half of the 2000 nanosecond cache miss\
|
72 |
+
\ delay, or 1000 nanoseconds, so:\nlock_ns_per_miss = 1000 nanoseconds / cache miss.\n\
|
73 |
+
Thus we can see that on average a single processor will lock the bus for:\nlock_ns_per_miss\
|
74 |
+
\ * misses_per_instruction * instructions_per_ns =\n(1000 nanoseconds / cache miss)\
|
75 |
+
\ * (1 cache miss / 50 instructions) * (50 instructions / 27000 nanoseconds) = 1000\
|
76 |
+
\ * (1/50) * (50/27000) = 1000/27000 = 1/27. The answer is (B).\n\n"
|
77 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
78 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
79 |
+
"task": "mmlu_flan_cot_fewshot_college_computer_science"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_mathematics.yaml
ADDED
@@ -0,0 +1,50 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_mathematics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ mathematics.\n\nQ: Let V be the set of all real polynomials p(x). Let transformations\
|
4 |
+
\ T, S be defined on V by T:p(x) -> xp(x) and S:p(x) -> p'(x) = d/dx p(x), and interpret\
|
5 |
+
\ (ST)(p(x)) as S(T(p(x))). Which of the following is true?\n(A) ST = 0 (B) ST =\
|
6 |
+
\ T (C) ST = TS (D) ST - TS is the identity map of V onto itself.\nA: Let's think\
|
7 |
+
\ step by step. For a given polynomial $p$ we have\n\\[ST(p) = (xp(x))’ = p(x) +\
|
8 |
+
\ xp’(x)\\]\nand\n\\[TS(p) = xp’(x).\\]\nHence \\[ST(p) - TS(p) = p(x) + xp’(x)\
|
9 |
+
\ - xp’(x).\\] The answer is (D).\n\nQ: Suppose that f(1 + x) = f(x) for all real\
|
10 |
+
\ x. If f is a polynomial and f(5) = 11, then f(15/2)\n(A) -11 (B) 0 (C) 11 (D)\
|
11 |
+
\ 33/2\nA: Let's think step by step. The only polynomial so that $f(1 + x) = f(x)$\
|
12 |
+
\ is a constant polynomial. Hence $f(5) = 11 = f(15/2)$. The answer is (C).\n\n\
|
13 |
+
Q: Let A be a real 2x2 matrix. Which of the following statements must be true?\n\
|
14 |
+
I. All of the entries of A^2 are nonnegative.\nII. The determinant of A^2 is nonnegative.\n\
|
15 |
+
III. If A has two distinct eigenvalues, then A^2 has two distinct eigenvalues.\n\
|
16 |
+
(A) I only (B) II only (C) III only (D) II and III only\nA: Let's think step by\
|
17 |
+
\ step. We have \\[ det(A^2) = (det(A))^2 \\geq 0,\\] hence II holds.\nIII is false:\
|
18 |
+
\ as a counterexample take a diagonal matrix with -1 and 1 on the diagonal. Then\
|
19 |
+
\ $A^2$ is the identity matrix. The answer is (B).\n\nQ: Let A be the set of all\
|
20 |
+
\ ordered pairs of integers (m, n) such that 7m + 12n = 22. What is the greatest\
|
21 |
+
\ negative number in the set B = {m + n : (m, n) \\in A}?\n(A) -5 (B) -4 (C) -3\
|
22 |
+
\ (D) -2\nA: Let's think step by step. We have 12n = 22 - 7m and one of the solutions\
|
23 |
+
\ is $m = -2$, $n = 3$. Then $m + n = 1$, hence we need to look for smaller $m$\
|
24 |
+
\ in order to make $m + n$ negative. The next solution is $m = -14$ and $n = 10$.\
|
25 |
+
\ For smaller $m$ we have $m + n$ smaller than $-4$. The answer is (B).\n\nQ: A\
|
26 |
+
\ tank initially contains a salt solution of 3 grams of salt dissolved in 100 liters\
|
27 |
+
\ of water. A salt solution containing 0.02 grams of salt per liter of water is\
|
28 |
+
\ sprayed into the tank at a rate of 4 liters per minute. The sprayed solution is\
|
29 |
+
\ continually mixed with the salt solution in the tank, and the mixture flows out\
|
30 |
+
\ of the tank at a rate of 4 liters per minute. If the mixing is instantaneous,\
|
31 |
+
\ how many grams of salt are in the tank after 100 minutes have elapsed?\n(A) 2\
|
32 |
+
\ (B) 2 - e^-2 (C) 2 + e^-2 (D) 2 + e^-4\nA: Let's think step by step. For all $t\
|
33 |
+
\ \\in \\mathbb{R}$, let $s(t)$ denote the number grams of salt in the tank at the\
|
34 |
+
\ $t$ minute mark. Then $s(0) = 3$.\nWe use $s$ and $s(t)$ interchangeably. We also\
|
35 |
+
\ use $s^{\\prime}$ and $s^{\\prime}(t)$ interchangeably. The solution sprayed into\
|
36 |
+
\ the tank adds $(0.02) 4=2 / 25$ grams of salt per minute. There are always 100\
|
37 |
+
\ liters of liquid in the tank, containing $s$ grams of salt. So the density of\
|
38 |
+
\ salt in the tank is $s / 100$ grams per liter. The flow of water out of the tank\
|
39 |
+
\ therefore subtracts $4(s / 100)=s / 25$ grams of salt per minute. Then, for all\
|
40 |
+
\ $t \\in \\mathbb{R}$, we have $s^{\\prime}(t)=(2 / 25)-(s / 25)=(2-s) / 25$, and\
|
41 |
+
\ so $[s(t)=2] \\Rightarrow\\left[s^{\\prime}(t)=0\right]$. For all $t \\in \\mathbb{R}$,\n\
|
42 |
+
$$\n\frac{d}{d t}[\\ln (s-2)]=\frac{s^{\\prime}}{s-2}=\frac{-1}{25}=\frac{d}{d t}\\\
|
43 |
+
left[-\frac{t}{25}\right] .\n$$\nChoose $C \\in \\mathbb{R}$ such that, for all\
|
44 |
+
\ $t \\in \\mathbb{R}, \\ln ((s(t)-2))=-[t / 25]+C$. Let $K:=e^{C}$. Then, for all\
|
45 |
+
\ $t \\in \\mathbb{R}$, we have $(s(t))-2=K e^{-t / 25}$, and so $s(t)=2+K e^{-t\
|
46 |
+
\ / 25}$. Then $3=s(0)=2+K e^{0}=2+K$, so $K=1$. Then $s(100)=2+K e^{-100 / 25}=2+1\
|
47 |
+
\ \\cdot e^{-4}=2+e^{-4}$. The answer is (D).\n\n"
|
48 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
49 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
50 |
+
"task": "mmlu_flan_cot_fewshot_college_mathematics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_medicine.yaml
ADDED
@@ -0,0 +1,52 @@
|
|
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|
|
|
|
|
|
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|
|
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|
|
|
|
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|
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|
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|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_medicine"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ medicine.\n\nQ: An expected side effect of creatine supplementation is:\n(A) muscle\
|
4 |
+
\ weakness. (B) gain in body mass. (C) muscle cramps. (D) loss of electrolytes.\n\
|
5 |
+
A: Let's think step by step. We refer to Wikipedia articles on medicine for help.\
|
6 |
+
\ Creatine supplementation is a dietary supplement that results in body mass gain.\
|
7 |
+
\ The answer is (B).\n\nQ: Which of the following is not a true statement?\n(A)\
|
8 |
+
\ Muscle glycogen is broken down enzymatically to glucose-1-phosphate (B) Elite\
|
9 |
+
\ endurance runners have a high proportion of Type I fibres in their leg muscles\
|
10 |
+
\ (C) Liver glycogen is important in the maintenance of the blood glucose concentration\
|
11 |
+
\ (D) Insulin promotes glucose uptake by all tissues in the body\nA: Let's think\
|
12 |
+
\ step by step. We refer to Wikipedia articles on medicine for help. Let’s solve\
|
13 |
+
\ this step by step and go over each choice: \n(A) “Muscle glycogen is broken down\
|
14 |
+
\ enzymatically to glucose-1-phosphate”: This is a correct statement.\n(B) “Elite\
|
15 |
+
\ endurance runners have a high proportion of Type I fibres in their leg muscles”:\
|
16 |
+
\ This is a correct statement.\n(C) “Liver glycogen is important in the maintenance\
|
17 |
+
\ of the blood glucose concentration”: This is a correct statement. \n(D) “Insulin\
|
18 |
+
\ promotes glucose uptake by all tissues in the body”: This is not a correct statement,\
|
19 |
+
\ because insulin promotes glucose uptake by the liver, adipose tissue, and muscle,\
|
20 |
+
\ but not all tissues. For instance, the tissues in the brain and red blood cells\
|
21 |
+
\ are not affected by insulin. The answer is (D).\n\nQ: A high school science teacher\
|
22 |
+
\ fills a 1 liter bottle with pure nitrogen and seals the lid. The pressure is 1.70\
|
23 |
+
\ atm, and the room temperature is 25°C. Which two variables will both increase\
|
24 |
+
\ the pressure of the system, if all other variables are held constant?\n(A) Increasing\
|
25 |
+
\ temperature, increasing moles of gas (B) Increasing temperature, increasing volume\
|
26 |
+
\ (C) Decreasing volume, decreasing temperature (D) Decreasing moles of gas, increasing\
|
27 |
+
\ volume\nA: Let's think step by step. We refer to Wikipedia articles on medicine\
|
28 |
+
\ for help. The relevant equation for this is the ideal gas law: PV=nRT. To increase\
|
29 |
+
\ the pressure of the system (P), then either n (number of moles of the gas) or\
|
30 |
+
\ T (temperature) have to increase. The answer is (A).\n\nQ: In a genetic test of\
|
31 |
+
\ a newborn, a rare genetic disorder is found that has X-linked recessive transmission.\
|
32 |
+
\ Which of the following statements is likely true regarding the pedigree of this\
|
33 |
+
\ disorder?\n(A) All descendants on the maternal side will have the disorder. (B)\
|
34 |
+
\ Females will be approximately twice as affected as males in this family. (C) All\
|
35 |
+
\ daughters of an affected male will be affected. (D) There will be equal distribution\
|
36 |
+
\ of males and females affected.\nA: Let's think step by step. We refer to Wikipedia\
|
37 |
+
\ articles on medicine for help. Let’s solve this step by step. Let's recall first\
|
38 |
+
\ that females have two X chromosomes, while males have one X and one Y chromosome.\
|
39 |
+
\ This is an important fact we need to know before answering this question. \nBecause\
|
40 |
+
\ a male can only pass his only one X chromosome to a daughter, if he is affected\
|
41 |
+
\ by this rare genetic disorder, then we know for sure that he will pass this rare\
|
42 |
+
\ genetic disorder to all his future-born daughters. Therefore, “(C): All daughters\
|
43 |
+
\ of an affected male will be affected” is a correct statement. The answer is (C).\n\
|
44 |
+
\nQ: Glucose is transported into the muscle cell:\n(A) via protein transporters\
|
45 |
+
\ called GLUT4. (B) only in the presence of insulin. (C) via hexokinase. (D) via\
|
46 |
+
\ monocarbylic acid transporters.\nA: Let's think step by step. We refer to Wikipedia\
|
47 |
+
\ articles on medicine for help. Glucose (also known as the blood sugar) is the\
|
48 |
+
\ main sugar found in the human body. It is transported into the muscle cell via\
|
49 |
+
\ diffusion through protein transporters called GLUT4. The answer is (A).\n\n"
|
50 |
+
"group": "mmlu_flan_cot_fewshot_other"
|
51 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
52 |
+
"task": "mmlu_flan_cot_fewshot_college_medicine"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_college_physics.yaml
ADDED
@@ -0,0 +1,44 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
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|
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|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "college_physics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about college\
|
3 |
+
\ physics.\n\nQ: A refracting telescope consists of two converging lenses separated\
|
4 |
+
\ by 100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification\
|
5 |
+
\ of the telescope is\n(A) 4 (B) 5 (C) 6 (D) 20\nA: Let's think step by step. In\
|
6 |
+
\ a refracting telescope, if both lenses are converging, the focus of both lenses\
|
7 |
+
\ must be between the two lenses, and thus the focal lengths of the two lenses must\
|
8 |
+
\ add up to their separation. Since the focal length of one lens is 20 cm, the focal\
|
9 |
+
\ length of the other must be 80 cm. The magnification is the ratio of these two\
|
10 |
+
\ focal lengths, or 4. The answer is (A).\n\nQ: The muon decays with a characteristic\
|
11 |
+
\ lifetime of about 10^-6 second into an electron, a muon neutrino, and an electron\
|
12 |
+
\ antineutrino. The muon is forbidden from decaying into an electron and just a\
|
13 |
+
\ single neutrino by the law of conservation of\n(A) charge (B) mass (C) energy\
|
14 |
+
\ and momentum (D) lepton number\nA: Let's think step by step. Lepton number must\
|
15 |
+
\ be conserved, meaning the total number of leptons minus the number of antileptons.\
|
16 |
+
\ If a muon decays into an electron and a single neutrino, the total lepton number\
|
17 |
+
\ would go from one to two, violating lepton number conservation. The answer is\
|
18 |
+
\ (D).\n\nQ: One end of a Nichrome wire of length 2L and cross-sectional area A\
|
19 |
+
\ is attached to an end of another Nichrome wire of length L and cross- sectional\
|
20 |
+
\ area 2A. If the free end of the longer wire is at an electric potential of 8.0\
|
21 |
+
\ volts, and the free end of the shorter wire is at an electric potential of 1.0\
|
22 |
+
\ volt, the potential at the junction of the two wires is most nearly equal to\n\
|
23 |
+
(A) 2.4 V (B) 3.3 V (C) 4.5 V (D) 5.7 V\nA: Let's think step by step. This is a\
|
24 |
+
\ simple voltage divider problem, where the longer wire has a resistance four times\
|
25 |
+
\ that of the shorter end. So the voltage divider ratio is 1 / 5, meaning that the\
|
26 |
+
\ potential in the middle is 1.0 V + (8.0 V - 1.0 V) * 1/5 = 2.4 V. The answer is\
|
27 |
+
\ (A).\n\nQ: A refracting telescope consists of two converging lenses separated\
|
28 |
+
\ by 100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification\
|
29 |
+
\ of the telescope is\n(A) 4 (B) 5 (C) 6 (D) 20\nA: Let's think step by step. In\
|
30 |
+
\ a refracting telescope, if both lenses are converging, the focus of both lenses\
|
31 |
+
\ must be between the two lenses, and thus the focal lengths of the two lenses must\
|
32 |
+
\ add up to their separation. Since the focal length of one lens is 20 cm, the focal\
|
33 |
+
\ length of the other must be 80 cm. The magnification is the ratio of these two\
|
34 |
+
\ focal lengths, or 4. The answer is (A).\n\nQ: For which of the following thermodynamic\
|
35 |
+
\ processes is the increase in the internal energy of an ideal gas equal to the\
|
36 |
+
\ heat added to the gas?\n(A) Constant temperature (B) Constant volume (C) Constant\
|
37 |
+
\ pressure (D) Adiabatic\nA: Let's think step by step. Heat added to the gas can\
|
38 |
+
\ go into the gases internal energy or work done against an external force. However,\
|
39 |
+
\ if the volume of the gas container is constant, no work will be done (since work\
|
40 |
+
\ is pressure times change in volume). So, at constant volume, all of the heat goes\
|
41 |
+
\ into the internal energy. The answer is (B).\n\n"
|
42 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
43 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
44 |
+
"task": "mmlu_flan_cot_fewshot_college_physics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_computer_security.yaml
ADDED
@@ -0,0 +1,36 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "computer_security"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about computer\
|
3 |
+
\ security.\n\nQ: SHA-1 has a message digest of\n(A) 160 bits (B) 512 bits (C) 628\
|
4 |
+
\ bits (D) 820 bits\nA: Let's think step by step. Since SHA-1 is a hash function\
|
5 |
+
\ which takes an input and produces a 160-bit (20-byte) hash value, its message\
|
6 |
+
\ digest is 160 bits. The answer is (A).\n\nQ: _____________ can modify data on\
|
7 |
+
\ your system – so that your system doesn’t run correctly or you can no longer access\
|
8 |
+
\ specific data, or it may even ask for ransom in order to give your access.\n(A)\
|
9 |
+
\ IM – Trojans (B) Backdoor Trojans (C) Trojan-Downloader (D) Ransom Trojan\nA:\
|
10 |
+
\ Let's think step by step. The system is asking for trojans, which are for ransom,\
|
11 |
+
\ which means ransom trojan. The answer is (D).\n\nQ: What is ethical hacking?\n\
|
12 |
+
(A) \"Hacking\" ethics so they justify unintended selfish behavior (B) Hacking systems\
|
13 |
+
\ (e.g., during penetration testing) to expose vulnerabilities so they can be fixed,\
|
14 |
+
\ rather than exploited (C) Hacking into systems run by those whose ethics you disagree\
|
15 |
+
\ with (D) A slang term for rapid software development, e.g., as part of hackathons\n\
|
16 |
+
A: Let's think step by step. Ethical hacking is a process of detecting vulnerabilities\
|
17 |
+
\ in an application, system, or organization's infrastructure that an attacker can\
|
18 |
+
\ use to exploit an individual or organization. They use this process to prevent\
|
19 |
+
\ cyberattacks and security breaches by lawfully hacking into the systems and looking\
|
20 |
+
\ for weak points. The answer is (B).\n\nQ: The ____________ is anything which your\
|
21 |
+
\ search engine cannot search.\n(A) Haunted web (B) World Wide Web (C) Surface web\
|
22 |
+
\ (D) Deep Web\nA: Let's think step by step. The search engine searches on the Surface\
|
23 |
+
\ Web, which is the portion of the world wide web which is visible so (B,C) are\
|
24 |
+
\ wrong. The Haunted Web doesn’t correspond to an internet concept. The Deep Web\
|
25 |
+
\ is the part of the World Wide Web which is not indexed. The answer is (D).\n\n\
|
26 |
+
Q: Exploitation of the Heartbleed bug permits\n(A) overwriting cryptographic keys\
|
27 |
+
\ in memory (B) a kind of code injection (C) a read outside bounds of a buffer (D)\
|
28 |
+
\ a format string attack\nA: Let's think step by step. The Heartbleed Bug is a serious\
|
29 |
+
\ vulnerability in the popular OpenSSL cryptographic software library. Heartbleed\
|
30 |
+
\ resulted from improper input validation (due to a missing bounds check) in the\
|
31 |
+
\ implementation of the TLS heartbeat extension. The vulnerability was classified\
|
32 |
+
\ as a buffer over-read, a situation where more data can be read than should be\
|
33 |
+
\ allowed. The answer is (C).\n\n"
|
34 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
35 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
36 |
+
"task": "mmlu_flan_cot_fewshot_computer_security"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_conceptual_physics.yaml
ADDED
@@ -0,0 +1,33 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
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|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "conceptual_physics"
|
2 |
+
"description": "\nThe following are multiple choice questions (with answers) about\
|
3 |
+
\ conceptual physics.\n\nQ: Colors in a soap bubble result from light\n(A) converted\
|
4 |
+
\ to a different frequency (B) deflection (C) interference (D) polarization\nA:\
|
5 |
+
\ Let's think step by step. In a soap bubble film, the light bounces between the\
|
6 |
+
\ two soap-air interfaces many times, interfering with itself constructively or\
|
7 |
+
\ destructively depending on the width of the film. This results in different colors\
|
8 |
+
\ being visible. The answer is (C).\n\nQ: Compared with the mass of a uranium atom\
|
9 |
+
\ undergoing fission, the combined masses of the products after fission are\n(A)\
|
10 |
+
\ less (B) more (C) the same (D) zero\nA: Let's think step by step. Fission releases\
|
11 |
+
\ energy, which comes from the rest mass of its initial nucleus. Thus the mass of\
|
12 |
+
\ the products is less than the mass of the reactant uranium nucleus. The answer\
|
13 |
+
\ is (A).\n\nQ: Things that are equivalent according to the equivalence principle\
|
14 |
+
\ are\n(A) space and time. (B) a traveling twin and a stay-at-home twin. (C) gravity\
|
15 |
+
\ and acceleration. (D) mass and energy.\nA: Let's think step by step. Einstein’s\
|
16 |
+
\ famous equivalence principle states that gravity and acceleration are equivalent.\
|
17 |
+
\ The answer is (C).\n\nQ: Which of these three elements has the most mass per nucleon?\n\
|
18 |
+
(A) Hydrogen (B) Iron (C) Uranium (D) Same in each\nA: Let's think step by step.\
|
19 |
+
\ Due to nuclear binding energy, the mass of an atomic nucleus is less than the\
|
20 |
+
\ sum of individual masses of the free constituent protons and neutrons; this is\
|
21 |
+
\ known as the mass defect. Hydrogen has no mass defect because it has only a single\
|
22 |
+
\ nucleon, so it will have the most mass per nucleon. The answer is (A).\n\nQ: A\
|
23 |
+
\ model airplane flies slower when flying into the wind and faster with wind at\
|
24 |
+
\ its back. When launched at right angles to the wind a cross wind its groundspeed\
|
25 |
+
\ compared with flying in still air is\n(A) the same (B) greater (C) less (D) either\
|
26 |
+
\ greater or less depending on wind speed\nA: Let's think step by step. The plane’s\
|
27 |
+
\ speed in the direction of the wind is greater than it would be in the absence\
|
28 |
+
\ of wind, and its direction orthogonal to the wind is the same as it would be in\
|
29 |
+
\ the absence of the wind. The total speed, which is these two components added\
|
30 |
+
\ in quadrature, is thus greater than the speed in still air. The answer is (B).\n\n"
|
31 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
32 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
33 |
+
"task": "mmlu_flan_cot_fewshot_conceptual_physics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_econometrics.yaml
ADDED
@@ -0,0 +1,63 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "econometrics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about econometrics.\n\
|
3 |
+
\nQ: Suppose now that a researcher wishes to use information criteria to determine\
|
4 |
+
\ the optimal lag length for a VAR. 500 observations are available for the bi-variate\
|
5 |
+
\ VAR, and the values of the determinant of the variance-covariance matrix of residuals\
|
6 |
+
\ are 0.0336, 0.0169, 0.0084, and 0.0062 for 1, 2, 3, and 4 lags respectively. What\
|
7 |
+
\ is the optimal model order according to Akaike's information criterion?\n(A) 1\
|
8 |
+
\ lag (B) 2 lags (C) 3 lags (D) 4 lags\nA: Let's think step by step. We refer to\
|
9 |
+
\ Wikipedia articles on econometrics for help. Let’s solve this problem step by\
|
10 |
+
\ step. First of all, let’s recall that for a given set of data, Akaike's information\
|
11 |
+
\ criterion (AIC) allows us to measure how well a statistical model fits the data;\
|
12 |
+
\ it is an estimator of prediction error. Here in this problem we will need to use\
|
13 |
+
\ the formula ln(det(sigma_hat)) + (2 * k / T) to determine the values of Akaike’s\
|
14 |
+
\ criterion, where ln denotes the natural log function, det the determinant function,\
|
15 |
+
\ k the total number of parameters in total (across both equations), and T the number\
|
16 |
+
\ of observations (which, in this case, is equal to 500). For 1 lag, the number\
|
17 |
+
\ of parameters in total is equal to 6; for 2 lags, it is 10; for 3 lags, it is\
|
18 |
+
\ 14; and for 4 lags, it is 18. Now, let’s calculate the values of the criterion\
|
19 |
+
\ for each lag:\n(A) 1 lag: ln(0.0336) + (2 * 6 / 500) = ln(0.0336) + (12 / 500)\
|
20 |
+
\ = -3.369\n(B) 2 lags: ln(0.0169) + (2 * 10 / 500) = ln(0.0169) + (20 / 500) =\
|
21 |
+
\ -4.040\n(C) 3 lags: ln(0.0084) + (2 * 14 / 500) = ln(0.0084) + (28 / 500) =-4.724\n\
|
22 |
+
(D) 4 lags: ln(0.0062) + (2 * 18 / 500) = ln(0.0062) + (36 / 500) =-5.011\nBecause\
|
23 |
+
\ the optimal model order according to AIC minimizes the information criterion,\
|
24 |
+
\ the answer should be the one with the lowest value. In this case, (D) has the\
|
25 |
+
\ lowest value. The answer is (C).\n\nQ: Consider the following AR(1) model with\
|
26 |
+
\ the disturbances having zero mean and unit variance\nyt = 0.2 + 0.4 yt-1 + ut\n\
|
27 |
+
The (unconditional) mean of y will be given by\n(A) 0.2 (B) 0.4 (C) 0.5 (D) 0.33\n\
|
28 |
+
A: Let's think step by step. We refer to Wikipedia articles on econometrics for\
|
29 |
+
\ help. Let’s solve this problem step by step. If we have a an AR(1) model with\
|
30 |
+
\ the disturbances having zero mean and unit variance, then the unconditional mean\
|
31 |
+
\ of y is equal to the following:\nunconditional mean of y = (the intercept term)\
|
32 |
+
\ / (1 - autoregressive coefficient)\nWe know that the intercept term is 0.2 and\
|
33 |
+
\ the autoregressive coefficient is 0.4; thus, we have:\nunconditional mean of y\
|
34 |
+
\ = (0.2) / (1 - 0.4) = (0.2) / (0.6) = 2 / 6 = 1 / 3, which is approximately 0.33.\
|
35 |
+
\ That means that the answer should be (D) 0.33. The answer is (D).\n\nQ: What would\
|
36 |
+
\ be then consequences for the OLS estimator if heteroscedasticity is present in\
|
37 |
+
\ a regression model but ignored?\n(A) It will be biased (B) It will be inconsistent\
|
38 |
+
\ (C) It will be inefficient (D) All of (a), (b) and (c) will be true.\nA: Let's\
|
39 |
+
\ think step by step. We refer to Wikipedia articles on econometrics for help. Heteroscedasticity\
|
40 |
+
\ refers to the condition where the variance of the error terms is not constant\
|
41 |
+
\ across multiple observations. If heteroscedasticity is present in a regression\
|
42 |
+
\ model, then the coefficient estimates in the OLS estimator will be not only unbiased\
|
43 |
+
\ and consistent but also inefficient. Because (A) and (B) are incorrect choices\
|
44 |
+
\ and (C) is a correct choice, (D) cannot be the right answer. Ultimately, (C) is\
|
45 |
+
\ the only true choice. The answer is (C).\n\nQ: Suppose that a test statistic has\
|
46 |
+
\ associated with it a p-value of 0.08. Which one of the following statements is\
|
47 |
+
\ true?\n(i) If the size of the test were exactly 8%, we would be indifferent between\
|
48 |
+
\ rejecting and not rejecting the null hypothesis\n(ii) The null would be rejected\
|
49 |
+
\ if a 10% size of test were used\n(iii) The null would not be rejected if a 1%\
|
50 |
+
\ size of test were used\n(iv) The null would be rejected if a 5% size of test were\
|
51 |
+
\ used.\n(A) (ii) and (iv) only (B) (i) and (iii) only (C) (i), (ii), and (iii)\
|
52 |
+
\ only (D) (i), (ii), (iii), and (iv).\nA: Let's think step by step. We refer to\
|
53 |
+
\ Wikipedia articles on econometrics for help. Let’s reason about each of the options.\n\
|
54 |
+
(i) is a true statement.\n(ii) is a true statement.\n(iii) is a true statement.\n\
|
55 |
+
(iv) is not a true statement. Thus, (i), (ii), and (iii) are true. The answer is\
|
56 |
+
\ (C).\n\nQ: For a stationary autoregressive process, shocks will\n(A) Eventually\
|
57 |
+
\ die away (B) Persist indefinitely (C) Grow exponentially (D) Never occur\nA: Let's\
|
58 |
+
\ think step by step. We refer to Wikipedia articles on econometrics for help. This\
|
59 |
+
\ is a formal logic problem about stationally process. For a stationary autoregressive\
|
60 |
+
\ process, shocks will eventually die away. The answer is (A).\n\n"
|
61 |
+
"group": "mmlu_flan_cot_fewshot_social_sciences"
|
62 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
63 |
+
"task": "mmlu_flan_cot_fewshot_econometrics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_electrical_engineering.yaml
ADDED
@@ -0,0 +1,34 @@
|
|
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|
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|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
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|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "electrical_engineering"
|
2 |
+
"description": "\nThe following are multiple choice questions (with answers) about\
|
3 |
+
\ electrical engineering.\n\nQ: A point pole has a strength of 4π * 10^-4 weber.\
|
4 |
+
\ The force in newtons on a point pole of 4π * 1.5 * 10^-4 weber placed at a distance\
|
5 |
+
\ of 10 cm from it will be\n(A) 15 N. (B) 20 N. (C) 7.5 N. (D) 3.75 N.\nA: Let's\
|
6 |
+
\ think step by step. The force between two point poles is given by m_1m_2/(mu_0\
|
7 |
+
\ 4 \\pi r^2), in analogy to Coulomb’s law. Plugging in the values given in the\
|
8 |
+
\ question, we calculate that the force is approximately 15 N. The answer is (A).\n\
|
9 |
+
\nQ: The coil of a moving coil meter has 100 turns, is 40 mm long and 30 mm wide.\
|
10 |
+
\ The control torque is 240*10-6 N-m on full scale. If magnetic flux density is\
|
11 |
+
\ 1Wb/m2 range of meter is\n(A) 1 mA. (B) 2 mA. (C) 3 mA. (D) 4 mA.\nA: Let's think\
|
12 |
+
\ step by step. The torque on a coil in a uniform magnetic field is given by BANI,\
|
13 |
+
\ where B is the magnetic flux density, A is the area of the coil, N is the number\
|
14 |
+
\ of turns, and I is the current. So we have that I = (Torque)/(BAN), or 240e-6/(1200e-6\
|
15 |
+
\ * 100 * 1) = 2e-3. The answer is (B).\n\nQ: In an SR latch built from NOR gates,\
|
16 |
+
\ which condition is not allowed\n(A) S=0, R=0 (B) S=0, R=1 (C) S=1, R=0 (D) S=1,\
|
17 |
+
\ R=1\nA: Let's think step by step. An SR latch is a set-reset latch; in the case\
|
18 |
+
\ where S=1 and R=1, the circuit has no stable state; instead a race condition will\
|
19 |
+
\ be produced within the circuit, so the device will be in an undefined state. So\
|
20 |
+
\ S=1, R=1 is an illegal input. The answer is (D).\n\nQ: Two long parallel conductors\
|
21 |
+
\ carry 100 A. If the conductors are separated by 20 mm, the force per meter of\
|
22 |
+
\ length of each conductor will be\n(A) 100 N. (B) 0.1 N. (C) 1 N. (D) 0.01 N.\n\
|
23 |
+
A: Let's think step by step. The magnetic force-per-length between two current-carrying\
|
24 |
+
\ conductors is given by \\mu_0 I_1 I_2 / (2 \\pi r), where $r$ is the separation\
|
25 |
+
\ distance and I_1 and I_2 are the currents. Plugging in 100 A for I_1 and I_2,\
|
26 |
+
\ and 20 mm for r, gives 0.1 N. The answer is (B).\n\nQ: In a 2 pole lap winding\
|
27 |
+
\ dc machine , the resistance of one conductor is 2Ω and total number of conductors\
|
28 |
+
\ is 100. Find the total resistance\n(A) 200Ω (B) 100Ω (C) 50Ω (D) 10Ω\nA: Let's\
|
29 |
+
\ think step by step. In lap winding, effectively two resistors are connected in\
|
30 |
+
\ parallel, so the actual resistance of each pair is 1 Ohm. Since we have 50 pairs,\
|
31 |
+
\ we get a total resistance of 50 Ohms. The answer is (C).\n\n"
|
32 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
33 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
34 |
+
"task": "mmlu_flan_cot_fewshot_electrical_engineering"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_elementary_mathematics.yaml
ADDED
@@ -0,0 +1,41 @@
|
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|
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|
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|
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "elementary_mathematics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about elementary\
|
3 |
+
\ mathematics.\n\nQ: Olivia used the rule \"Add 11\" to create the number pattern\
|
4 |
+
\ shown below. 10, 21, 32, 43, 54. Which statement about the number pattern is true?\n\
|
5 |
+
(A) The 10th number in the pattern will be an even number.\n(B) The number pattern\
|
6 |
+
\ will never have two even numbers next to each other.\n(C) The next two numbers\
|
7 |
+
\ in the pattern will be an even number then an odd number.\n(D) If the number pattern\
|
8 |
+
\ started with an odd number then the pattern would have only odd numbers in it.\n\
|
9 |
+
A: Let's think step by step. Choice A is incorrect because every even-numbered term\
|
10 |
+
\ in the pattern is odd, and 10 is an even number. Choice B is correct, because\
|
11 |
+
\ adding an odd number (in this case 11) to an odd number produces an even number,\
|
12 |
+
\ and adding an odd number to an even number produces an odd number. Thus the terms\
|
13 |
+
\ in the pattern will alternate between odd and even, so there will never be two\
|
14 |
+
\ even numbers next to each other. Choice C is incorrect because the last term in\
|
15 |
+
\ the example is even (54), and we know that the terms will alternate between even\
|
16 |
+
\ and odd. Choice D is incorrect because the terms in the pattern will alternate\
|
17 |
+
\ between odd and even, regardless of the value of the first term. The answer is\
|
18 |
+
\ (B).\n\nQ: The population of the city where Michelle was born is 145,826. What\
|
19 |
+
\ is the value of the 5 in the number 145,826?\n(A) 5 thousands\n(B) 5 hundreds\n\
|
20 |
+
(C) 5 tens\n(D) 5 ones\nA: Let's think step by step. Choice A is correct, because\
|
21 |
+
\ there are three digits following the 5, so\nthe 5 is in the thousands place. Thus\
|
22 |
+
\ the other choices are incorrect. The answer is (A).\n\nQ: A store sells 107 different\
|
23 |
+
\ colors of paint. They have 25 cans of each color in storage. The number of cans\
|
24 |
+
\ of paint the store has in storage can be found using the expression below. 107\
|
25 |
+
\ × 25. How many cans of paint does the store have in storage?\n(A) 749\n(B) 2,675\n\
|
26 |
+
(C) 2,945\n(D) 4,250\nA: Let's think step by step. We can calculate 107 x 25 = (100\
|
27 |
+
\ x 25) + (7 x 25) = 2500 + 175 = 2675. The answer is (B).\n\nQ: A total of 30 players\
|
28 |
+
\ will play basketball at a park. There will be exactly 5 players on each team.\
|
29 |
+
\ Which statement correctly explains how to find the number of teams needed?\n(A)\
|
30 |
+
\ Add 5 to 30 to find 35 teams.\n(B) Divide 30 by 5 to find 6 teams.\n(C) Multiply\
|
31 |
+
\ 30 and 5 to find 150 teams.\n(D) Subtract 5 from 30 to find 25 teams.\nA: Let's\
|
32 |
+
\ think step by step. We want to find the number of teams. We know that there are\
|
33 |
+
\ 5 players/team, and 30 players. Thus to get the number of teams we divide players\
|
34 |
+
\ by players/team, so 30 players / 5 players/team = 6 teams. The answer is (B).\n\
|
35 |
+
\nQ: Which expression is equivalent to 5 x 9?\n(A) (5 x 4) x (6 x 5)\n(B) (5 x 5)\
|
36 |
+
\ + (5 x 4)\n(C) (5 x 5) + (5 x 9)\n(D) (5 x 9) x (6 x 9)\nA: Let's think step by\
|
37 |
+
\ step. We know that 9 = (5 + 4), so 5 x 9 = 5 x (5 + 4) = (5 x 5) + (5 x 4). The\
|
38 |
+
\ answer is (B).\n\n"
|
39 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
40 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
41 |
+
"task": "mmlu_flan_cot_fewshot_elementary_mathematics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_formal_logic.yaml
ADDED
@@ -0,0 +1,53 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "formal_logic"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about formal\
|
3 |
+
\ logic.\n\nQ: Which of the given formulas of PL is the best symbolization of the\
|
4 |
+
\ following sentence?\nTurtles live long lives and are happy creatures, unless they\
|
5 |
+
\ are injured.\n(A) (L • H) ≡ I (B) (L • H) ∨ I (C) L • (H ∨ I) (D) L • (H ⊃ R).\n\
|
6 |
+
A: Let's think step by step. We refer to Wikipedia articles on formal logic for\
|
7 |
+
\ help. Let’s solve this step by step. Let “L” denote “living long”, H “being happy”,\
|
8 |
+
\ and “I” “being injured”. Now, consider each choice:\n(A) means (living long AND\
|
9 |
+
\ being happy) is equivalent to (being injured). \n(B) means (living long AND being\
|
10 |
+
\ happy) OR (being injured). \n(C) means (living long) AND (being happy OR being\
|
11 |
+
\ injured). \n(D) means (living long) AND (being happy implies being R), but what\
|
12 |
+
\ R denotes is not clear.\nObviously, (B) is the best symbolization of the original\
|
13 |
+
\ sentence. The answer is (B).\n\nQ: Select the best translation into predicate\
|
14 |
+
\ logic.George borrows Hector's lawnmower. (g: George; h: Hector; l: Hector's lawnmower;\
|
15 |
+
\ Bxyx: x borrows y from z).\n(A) Blgh (B) Bhlg (C) Bglh (D) Bghl\nA: Let's think\
|
16 |
+
\ step by step. We refer to Wikipedia articles on formal logic for help. Let’s solve\
|
17 |
+
\ this step by step. We are told that “Bxyx” means “x borrows y from z”. We can\
|
18 |
+
\ rewrite “George borrows Hector's lawnmower” as “George borrows a lawnmower from\
|
19 |
+
\ Hector”, which can then be translated into predicate logic as “Bglh”. The answer\
|
20 |
+
\ “Bglh” appears in (C); therefore, (C) must be the correct answer. The answer is\
|
21 |
+
\ (C).\n\nQ: \nSelect the best English interpretation of the given arguments in\
|
22 |
+
\ predicate logic.\nDm\n(∀x)(Wx ⊃ ~Dx). \n(∀x)Wx ∨ Ag\t/ (∃x)Ax\n(A) Marina is a\
|
23 |
+
\ dancer. Some weaklings are not dancers. Either everything is a weakling or Georgia\
|
24 |
+
\ plays volleyball. So something plays volleyball. (B) Marina is a dancer. No weakling\
|
25 |
+
\ is a dancer. Everything is either a weakling or plays volleyball. So something\
|
26 |
+
\ plays volleyball. (C) Marina is a dancer. Some weaklings are not dancers. Everything\
|
27 |
+
\ is either a weakling or plays volleyball. So something plays volleyball. (D) Marina\
|
28 |
+
\ is a dancer. No weakling is a dancer. Either everything is a weakling or Georgia\
|
29 |
+
\ plays volleyball. So something plays volleyball.\nA: Let's think step by step.\
|
30 |
+
\ We refer to Wikipedia articles on formal logic for help. Let’s solve this step\
|
31 |
+
\ by step. Let “D” denote “being a dancer”, “m” denote “Maria”, “g” denote “Georgia”,\
|
32 |
+
\ “W” denote “weakling”, “A” denote “playing volleyball”. Then, we have the following:\n\
|
33 |
+
1. Dm → Maria is a dance.\n2. (∀x)(Wx ⊃ ~Dx). → For all x, if x is a weakling, then\
|
34 |
+
\ x is not a dancer. In other words, no weakling is a dancer.\n3. (∀x)Wx ∨ Ag\t\
|
35 |
+
/ (∃x)Ax → For all x, x is a weakling or Georgia plays volleyball. So there exists\
|
36 |
+
\ an x that plays volleyball. \nOptions (A) and (C) do claim that some weaklings\
|
37 |
+
\ are not dancers, but the second argument strongly states that no weakling is a\
|
38 |
+
\ dancer. Thus, we can eliminate them. Option (B) omits the important detail about\
|
39 |
+
\ Georgia playing volleyball. Option (D) has all the details presented in the arguments\
|
40 |
+
\ and is the best English interpretation of the arguments. The answer is (D).\n\n\
|
41 |
+
Q: Select the best translation into predicate logic: No people drive on Mars.\n\
|
42 |
+
(A) ~Pd (B) (∀x)(Px ∨ ~Dx) (C) (∀x)(Px ⊃ ~Dx) (D) ~Dp\nA: Let's think step by step.\
|
43 |
+
\ We refer to Wikipedia articles on formal logic for help. Let’s solve this step\
|
44 |
+
\ by step. Let “P” denote “being on Mars” and “D” denote “driving on Mars”. Then\
|
45 |
+
\ let’s consider each option:\nOption (A): ~Pd → d is not on Mars.\nOption (B):\
|
46 |
+
\ (∀x)(Px ∨ ~Dx) → For all x, x is on Mars and x do not drive on Mars.\nOption (C):\
|
47 |
+
\ (∀x)(Px ⊃ ~Dx) → For all x, x is on Mars implies that x do not drive on Mars.\n\
|
48 |
+
Option (D): ~Dp: → p do not drive on Mars.\nOf all these options, Option (C) appears\
|
49 |
+
\ to be the best and most meaningful interpretation of the argument “No people drive\
|
50 |
+
\ on Mars.” The answer is (C).\n\n"
|
51 |
+
"group": "mmlu_flan_cot_fewshot_humanities"
|
52 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
53 |
+
"task": "mmlu_flan_cot_fewshot_formal_logic"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_global_facts.yaml
ADDED
@@ -0,0 +1,34 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "global_facts"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about global\
|
3 |
+
\ facts.\n\nQ: As of 2017, how many of the world’s 1-year-old children today have\
|
4 |
+
\ been vaccinated against some disease? *\n(A) 80% (B) 60% (C) 40% (D) 20%\nA: Let's\
|
5 |
+
\ think step by step. We refer to Wikipedia articles on global facts for help. According\
|
6 |
+
\ to data published by the World Health Organization, the nummber of 1-year-old\
|
7 |
+
\ children vaccinated in 2017 exceeds 80%. The answer is (A).\n\nQ: As of 2019,\
|
8 |
+
\ about what percentage of Americans agree that the state is run for the benefit\
|
9 |
+
\ of all the people?\n(A) 31% (B) 46% (C) 61% (D) 76%\nA: Let's think step by step.\
|
10 |
+
\ We refer to Wikipedia articles on global facts for help. In 2019, about 46% percentage\
|
11 |
+
\ of Americans agree that the state is run for the benefit of all the people. The\
|
12 |
+
\ answer is (B).\n\nQ: As of 2019, about what percentage of Russians say it is very\
|
13 |
+
\ important to have free media in our country without government/state censorship?\n\
|
14 |
+
(A) 38% (B) 53% (C) 68% (D) 83%\nA: Let's think step by step. We refer to Wikipedia\
|
15 |
+
\ articles on global facts for help. As of 2019, about 38% of Russians say it is\
|
16 |
+
\ very important to have free media in our country. The answer is (A).\n\nQ: As\
|
17 |
+
\ of 2015, since 1990 forests have ____ in Europe and have ____ in Africa and the\
|
18 |
+
\ Americas.\n(A) increased, increased (B) increased, decreased (C) decreased, increased\
|
19 |
+
\ (D) decreased, decreased\nA: Let's think step by step. We refer to Wikipedia articles\
|
20 |
+
\ on global facts for help. As of 2015, since 1990 forests have increased in Europe\
|
21 |
+
\ and have decreased in Africa and the Americas. The answer is (B).\n\nQ: Which\
|
22 |
+
\ of the following pairs of statements are both true (as of 2019)?\n(A) People tend\
|
23 |
+
\ to be optimistic about their own future and the future of their nation or the\
|
24 |
+
\ world. (B) People tend to be optimistic about their own future but pessimistic\
|
25 |
+
\ about the future of their nation or the world. (C) People tend to be pessimistic\
|
26 |
+
\ about their own future but optimistic about the future of their nation or the\
|
27 |
+
\ world. (D) People tend to be pessimistic about their own future and the future\
|
28 |
+
\ of their nation or the world.\nA: Let's think step by step. We refer to Wikipedia\
|
29 |
+
\ articles on global facts for help. As of 2019, most people tend to be optimistic\
|
30 |
+
\ about their own future but pessimistic about the future of their nation or the\
|
31 |
+
\ world. The answer is (B).\n\n"
|
32 |
+
"group": "mmlu_flan_cot_fewshot_other"
|
33 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
34 |
+
"task": "mmlu_flan_cot_fewshot_global_facts"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_biology.yaml
ADDED
@@ -0,0 +1,54 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_biology"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school biology.\n\nQ: In animal cells, which of the following represents the most\
|
4 |
+
\ likely pathway that a secretory protein takes as it is synthesized in a cell?\n\
|
5 |
+
(A) Plasma membrane–Golgi apparatus–ribosome–secretory vesicle–rough ER (B) Ribosome–Golgi\
|
6 |
+
\ apparatus–rough ER–secretory vesicle–plasma membrane (C) Plasma membrane–Golgi\
|
7 |
+
\ apparatus–ribosome–secretory vesicle–rough ER (D) Ribosome–rough ER–Golgi apparatus–secretory\
|
8 |
+
\ vesicle–plasma membrane\nA: Let's think step by step. Protein synthesis starts\
|
9 |
+
\ at the ribosome, so we can eliminate (A) and (C). The ribosome is often in the\
|
10 |
+
\ endoplasmic reticulum and moves from there to the Golgi apparatus, where it is\
|
11 |
+
\ modified and packaged into a vesicle. The vesicle then floats to the plasma membrane\
|
12 |
+
\ and is secreted. The answer is (D).\n\nQ: A mutation in a bacterial enzyme changed\
|
13 |
+
\ a previously polar amino acid into a nonpolar amino acid. This amino acid was\
|
14 |
+
\ located at a site distant from the enzyme’s active site. How might this mutation\
|
15 |
+
\ alter the enzyme’s substrate specificity?\n(A) By changing the enzyme’s pH optimum\
|
16 |
+
\ (B) By changing the enzyme’s location in the cell (C) By changing the shape of\
|
17 |
+
\ the protein (D) An amino acid change away from the active site cannot alter the\
|
18 |
+
\ enzyme’s substrate specificity.\nA: Let's think step by step. A change in an amino\
|
19 |
+
\ acid leads to a change in the primary structure of the protein. A change in the\
|
20 |
+
\ primary structure may lead to a change in the secondary and the tertiary structure\
|
21 |
+
\ of the protein. A change in the tertiary structure means a change in the shape\
|
22 |
+
\ of the protein, so (C) has to be correct. Since the change does not affect the\
|
23 |
+
\ active site of the enzyme, we do not expect the activity of the enzyme to be affected.\
|
24 |
+
\ The answer is (C).\n\nQ: Which of the following is not a way to form recombinant\
|
25 |
+
\ DNA?\n(A) Translation (B) Conjugation (C) Specialized transduction (D) Transformation\n\
|
26 |
+
A: Let's think step by step. The introduction of foreign DNA or RNA into bacteria\
|
27 |
+
\ or eukaryotic cells is a common technique in molecular biology and scientific\
|
28 |
+
\ research. There are multiple ways foreign DNA can be introduced into cells including\
|
29 |
+
\ transformation, transduction, conjugation, and transfection. In contrast, (A)\
|
30 |
+
\ is not a way to form DNA: during translation the ribosomes synthesize proteins\
|
31 |
+
\ from RNA. The answer is (A).\n\nQ: Homologous structures are often cited as evidence\
|
32 |
+
\ for the process of natural selection. All of the following are examples of homologous\
|
33 |
+
\ structures EXCEPT\n(A) the wings of a bird and the wings of a bat (B) the flippers\
|
34 |
+
\ of a whale and the arms of a man (C) the pectoral fins of a porpoise and the flippers\
|
35 |
+
\ of a seal (D) the forelegs of an insect and the forelimbs of a dog\nA: Let's think\
|
36 |
+
\ step by step. Homologous structures are similar physical features in organisms\
|
37 |
+
\ that share a common ancestor but different functions. Comparisons (B) and (C)\
|
38 |
+
\ are clearly homologous because they share a common ancestor and the structures\
|
39 |
+
\ serve different purposes. Bat wings and birg wings are also homologous, while\
|
40 |
+
\ they are both wings, the forelimbs serve different purposes. Insects and dogs\
|
41 |
+
\ are very far ancestors since one is vertebrate while the other is invertebrate\
|
42 |
+
\ and the forelimbs serve the same purpose, so they are not homologous. The answer\
|
43 |
+
\ is (D).\n\nQ: Which of the following is not known to be involved in the control\
|
44 |
+
\ of cell division?\n(A) Cyclins (B) Protein kinases (C) Checkpoints (D) Fibroblast\
|
45 |
+
\ cells\nA: Let's think step by step. Normal cells move through the cell cycle in\
|
46 |
+
\ a regulated way. At the checkpoint stage, they use information about their own\
|
47 |
+
\ internal state and cues from the environment around them to decide whether to\
|
48 |
+
\ proceed with cell division. Cues like these act by changing the activity of core\
|
49 |
+
\ cell cycle regulators inside the cell. The most common regulators are cyclins\
|
50 |
+
\ and cyclin-dependent kinases. Fibroblast cells do not play any role in cell division.\
|
51 |
+
\ The answer is (D).\n\n"
|
52 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
53 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
54 |
+
"task": "mmlu_flan_cot_fewshot_high_school_biology"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_chemistry.yaml
ADDED
@@ -0,0 +1,50 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_chemistry"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school chemistry.\n\nQ: Which of the following is considered an acid anhydride?\n\
|
4 |
+
(A) HCl (B) H2SO3 (C) SO2 (D) Al(NO3)3\nA: Let's think step by step. An acid anhydride\
|
5 |
+
\ is a compound that is derived by removing water from an acid. The chemical formula\
|
6 |
+
\ for water is H2O, which means that we need to determine which of these options,\
|
7 |
+
\ when combined with H2O, forms an acid. SO2, or Sulfur dioxide, when combined with\
|
8 |
+
\ H2O, makes H2SO4, or sulfuric acid. The answer is (C).\n\nQ: Which of the following\
|
9 |
+
\ is expected to be a polar molecule?\n(A) PCl4F (B) BF3 (C) CO2 (D) Si(CH3)4\n\
|
10 |
+
A: Let's think step by step. A polar molecule is one that has a slightly positive\
|
11 |
+
\ charge on one end of the molecule and a slightly negative charge on the other\
|
12 |
+
\ end. Boron trifluoride (BF3) has Boron as the center atom and three fluorine atoms\
|
13 |
+
\ attached to it; it is trigonal planar and symmetric, so it is nonpolar. Carbon\
|
14 |
+
\ Dioxide (CO2) has Carbon as the central atom with double bonds to two Oxygen atoms\
|
15 |
+
\ - this is also symmetrical and therefore nonpolar. The same is the case for tetramethyl\
|
16 |
+
\ silane (SI(CH3)4), which is a Silicon atom surrounded by four methyl groups. The\
|
17 |
+
\ structure of PCL4F is that Phosphorus is the central atom, attached to four chlorines\
|
18 |
+
\ and one fluorine atom. This is asymmetrical, and therefore has a net dipole and\
|
19 |
+
\ is expected to be a polar molecule. The answer is (A).\n\nQ: From the solubility\
|
20 |
+
\ rules, which of the following is true?\n(A) All chlorides, bromides, and iodides\
|
21 |
+
\ are soluble (B) All sulfates are soluble (C) All hydroxides are soluble (D) All\
|
22 |
+
\ ammonium-containing compounds are soluble\nA: Let's think step by step. The chlorides,\
|
23 |
+
\ bromides, and iodides of lead, silver, and mercury are not soluble in water. This\
|
24 |
+
\ rules out (A). The sulfates of lead, barium, and calcium are not soluble in water,\
|
25 |
+
\ which rules out (B). The hydroxides of any metal besides sodium, potassium, ammonium,\
|
26 |
+
\ calcium, and barium are insoluble. This rules out (C). Typically ammonium ions\
|
27 |
+
\ indicate a soluble ionic substance. The answer is (D).\n\nQ: A new compound is\
|
28 |
+
\ synthesized and found to be a monoprotic acid with a molar mass of 248 g/mol.\
|
29 |
+
\ When 0.0050 mol of this acid are dissolved in 0.500 L of water, the pH is measured\
|
30 |
+
\ as 3.89. What is the pKa of this acid?\n(A) 3.89 (B) 7.78 (C) 5.78 (D) 2.33\n\
|
31 |
+
A: Let's think step by step. Recall that $[A] = [H^{+}]$. Here, this is equal to\
|
32 |
+
\ $$10^{-3.89}$. Then we have $K_{a} = $\nrac{[H^{+}][A^{-}]}{[HA]} = \nrac{10^{-3.89}\
|
33 |
+
\ \\cdot 10^{-3.89}}{10^{-2}}. The resulting exponent is $-3.89 + (-3.89) - (-2)\
|
34 |
+
\ = 5.78$, therefore $K_a = 10^{-5.78}$. The $pK_a$ is the negative log of $K_a$,\
|
35 |
+
\ which is equal to $5.78$. The answer is (C).\n\nQ: A solution contains 2.00 mole\
|
36 |
+
\ of acetic acid, CH3COOH, and 1.00 mole of calcium acetate, Ca(CH3COO)2. The solution\
|
37 |
+
\ is able to resist the addition of a small amount of strong acid or strong base\
|
38 |
+
\ with only minor changes in the pH of the solution. Larger quantities of strong\
|
39 |
+
\ acid or strong base can cause a significant change in pH. How many moles of nitric\
|
40 |
+
\ acid, HNO3, may be added before the pH begins to change significantly?\n(A) 0.500\
|
41 |
+
\ mole (B) 1.00 mole (C) 2.00 mole (D) 3.00 mole\nA: Let's think step by step. We\
|
42 |
+
\ would like to compute the buffer capacity of this solution. First we write the\
|
43 |
+
\ equation for the ionization of the weak acid, in this case of acetic acid. $CH_{3}COOH\
|
44 |
+
\ (aq) + H_{2}O \nightarrow H_{3}O^{+} + CH3COO^{-}$. The conjugate base is therefore\
|
45 |
+
\ the acetate ion. The added strong acid, Nitric acid, will react with the conjugate\
|
46 |
+
\ base. Therefore the maximum amount of acid that can be added will be equal to\
|
47 |
+
\ the amount of acetate ion, or 2 moles. The answer is (C).\n\n"
|
48 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
49 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
50 |
+
"task": "mmlu_flan_cot_fewshot_high_school_chemistry"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_computer_science.yaml
ADDED
@@ -0,0 +1,71 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_computer_science"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school computer science.\n\nQ: Which of the following is an example of the use\
|
4 |
+
\ of a device on the Internet of Things (IoT) ?\n(A) A car alerts a driver that\
|
5 |
+
\ it is about to hit an object. (B) A hiker uses a G P S watch to keep track of\
|
6 |
+
\ her position. (C) A refrigerator orders milk from an online delivery service when\
|
7 |
+
\ the milk in the refrigerator is almost gone. (D) A runner uses a watch with optical\
|
8 |
+
\ sensors to monitor his heart rate.\nA: Let's think step by step. The term Internet\
|
9 |
+
\ of Things (IoT) refers to common devices which are connected to the internet,\
|
10 |
+
\ enabling new functionality. Choice A is incorrect because it does not describe\
|
11 |
+
\ an internet connected device. In choice B, the watch is only described as having\
|
12 |
+
\ GPS functionality but no internet connectivity. Choice C describes a common device\
|
13 |
+
\ (a refrigerator) which has internet connectivity enabling new functionality (online\
|
14 |
+
\ ordering). Choice D does not mention internet connectivity for the watch, only\
|
15 |
+
\ optical sensors. The answer is (C).\n\nQ: Many Web browsers allow users to open\
|
16 |
+
\ anonymous windows. During a browsing session in an anonymous window, the browser\
|
17 |
+
\ does not record a browsing history or a list of downloaded files. When the anonymous\
|
18 |
+
\ window is exited, cookies created during the session are deleted. Which of the\
|
19 |
+
\ following statements about browsing sessions in an anonymous window is true?\n\
|
20 |
+
(A) The activities of a user browsing in an anonymous window will not be visible\
|
21 |
+
\ to people who monitor the user's network, such as the system administrator. (B)\
|
22 |
+
\ Items placed in a Web store's shopping cart for future purchase during the anonymous\
|
23 |
+
\ browsing session will not be saved on the user's computer. (C) A user will not\
|
24 |
+
\ be able to log in to e-mail or social media accounts during the anonymous browsing\
|
25 |
+
\ session. (D) A user browsing in an anonymous window will be protected from viruses\
|
26 |
+
\ launched from any web sites visited or files downloaded.\nA: Let's think step\
|
27 |
+
\ by step. Choice A is incorrect as it only describes network traffic, which an\
|
28 |
+
\ anonymous browser does not change. Choice B is correct as it correctly describes\
|
29 |
+
\ how an anonymous browser will prevent saving data on the user’s computer after\
|
30 |
+
\ the session is ended. Choice C is incorrect because an anonymous browser will\
|
31 |
+
\ not prevent logging in to email or social media accounts. Choice D is incorrect\
|
32 |
+
\ because an anonymous browser in itself performs no virus protection. The answer\
|
33 |
+
\ is (B).\n\nQ: In the program below, the initial value of X is 5 and the initial\
|
34 |
+
\ value of Y is 10.\nIF (X < 0){\n DISPLAY (\"Foxtrot\")\n} ELSE {\n IF (X > Y){\n\
|
35 |
+
\ DISPLAY (\"Hotel\")\n } ELSE {\n IF (Y > 0){\n DISPLAY (\"November\")\n }\
|
36 |
+
\ ELSE {\n DISPLAY (\"Yankee\")\n }\n }\n}\nWhat is displayed as a result of\
|
37 |
+
\ running the program?\n(A) Foxtrot (B) Hotel (C) November (D) Yankee\nA: Let's\
|
38 |
+
\ think step by step. Because X has the value 5, the first conditional IF (X < 0)\
|
39 |
+
\ is false, so we move to the first ELSE clause. Because X is 5 and Y is 10, the\
|
40 |
+
\ second conditional IF (X > Y) is false, so we move to the following ELSE clause.\
|
41 |
+
\ Since Y is 10, the conditional IF (Y > 0) is true, so the command DISPLAY (\"\
|
42 |
+
November\") is executed. The answer is (C).\n\nQ: What is the output of \"abc\"\
|
43 |
+
[::-1] in Python 3?\n(A) Error (B) abc (C) cba (D) c\nA: Let's think step by step.\
|
44 |
+
\ We know that the slicing operator [::-1] takes all of the elements in the string\
|
45 |
+
\ in reverse order, so we reverse the order of the string \"abc\", resulting in\
|
46 |
+
\ \"cba\". The answer is (C).\n\nQ: A list of numbers has n elements, indexed from\
|
47 |
+
\ 1 to n. The following algorithm is intended to display the number of elements\
|
48 |
+
\ in the list that have a value greater than 100. The algorithm uses the variables\
|
49 |
+
\ count and position. Steps 3 and 4 are missing.\n Step 1: Set count to 0 and position\
|
50 |
+
\ to 1.\n Step 2: If the value of the element at index position is greater than\
|
51 |
+
\ 100, increase the value of count by 1.\n Step 3: (missing step)\n Step 4: (missing\
|
52 |
+
\ step)\n Step 5: Display the value of count.\nWhich of the following could be used\
|
53 |
+
\ to replace steps 3 and 4 so that the algorithm works as intended?\n(A) Step 3:\
|
54 |
+
\ Increase the value of position by 1.\n Step 4: Repeat steps 2 and 3 until the\
|
55 |
+
\ value of count is greater than 100.\n(B) Step 3: Increase the value of position\
|
56 |
+
\ by 1.\n Step 4: Repeat steps 2 and 3 until the value of position is greater than\
|
57 |
+
\ n.\n(C) Step 3: Repeat step 2 until the value of count is greater than 100.\n\
|
58 |
+
\ Step 4: Increase the value of position by 1.\n(D) Step 3: Repeat step 2 until\
|
59 |
+
\ the value of position is greater than n.\n Step 4: Increase the value of count\
|
60 |
+
\ by 1.\nA: Let's think step by step. Choice A is incorrect, because its Step 4\
|
61 |
+
\ has an incorrect termination condition, stopping when count is greater than 100.\
|
62 |
+
\ We need to stop after inspecting all elements in the list. Choice B is correct\
|
63 |
+
\ because it correctly increments both count and position, and correctly repeats\
|
64 |
+
\ these steps and terminates when all elements in the list have been inspected.\
|
65 |
+
\ Choice C is incorrect because it incorrectly increments the variable count until\
|
66 |
+
\ its value is greater than 100, regardless of the elements in the list. Choice\
|
67 |
+
\ D is incorrect because its step 3 does not increment the value of position, so\
|
68 |
+
\ it will repeat forever. The answer is (B).\n\n"
|
69 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
70 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
71 |
+
"task": "mmlu_flan_cot_fewshot_high_school_computer_science"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_european_history.yaml
ADDED
@@ -0,0 +1,169 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
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|
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|
|
|
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|
|
|
|
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|
|
|
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|
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|
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|
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|
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|
|
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|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
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|
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|
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|
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|
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|
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|
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|
1 |
+
"dataset_name": "high_school_european_history"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school european history.\n\nQ: This question refers to the following information.\n\
|
4 |
+
Albeit the king's Majesty justly and rightfully is and ought to be the supreme head\
|
5 |
+
\ of the Church of England, and so is recognized by the clergy of this realm in\
|
6 |
+
\ their convocations, yet nevertheless, for corroboration and confirmation thereof,\
|
7 |
+
\ and for increase of virtue in Christ's religion within this realm of England,\
|
8 |
+
\ and to repress and extirpate all errors, heresies, and other enormities and abuses\
|
9 |
+
\ heretofore used in the same, be it enacted, by authority of this present Parliament,\
|
10 |
+
\ that the king, our sovereign lord, his heirs and successors, kings of this realm,\
|
11 |
+
\ shall be taken, accepted, and reputed the only supreme head in earth of the Church\
|
12 |
+
\ of England, called Anglicans Ecclesia; and shall have and enjoy, annexed and united\
|
13 |
+
\ to the imperial crown of this realm, as well the title and style thereof, as all\
|
14 |
+
\ honors, dignities, preeminences, jurisdictions, privileges, authorities, immunities,\
|
15 |
+
\ profits, and commodities to the said dignity of the supreme head of the same Church\
|
16 |
+
\ belonging and appertaining; and that our said sovereign lord, his heirs and successors,\
|
17 |
+
\ kings of this realm, shall have full power and authority from time to time to\
|
18 |
+
\ visit, repress, redress, record, order, correct, restrain, and amend all such\
|
19 |
+
\ errors, heresies, abuses, offenses, contempts, and enormities, whatsoever they\
|
20 |
+
\ be, which by any manner of spiritual authority or jurisdiction ought or may lawfully\
|
21 |
+
\ be reformed, repressed, ordered, redressed, corrected, restrained, or amended,\
|
22 |
+
\ most to the pleasure of Almighty God, the increase of virtue in Christ's religion,\
|
23 |
+
\ and for the conservation of the peace, unity, and tranquility of this realm; any\
|
24 |
+
\ usage, foreign land, foreign authority, prescription, or any other thing or things\
|
25 |
+
\ to the contrary hereof notwithstanding.\nEnglish Parliament, Act of Supremacy,\
|
26 |
+
\ 1534\nFrom the passage, one may infer that the English Parliament wished to argue\
|
27 |
+
\ that the Act of Supremacy would\n(A) give the English king a new position of authority\
|
28 |
+
\ (B) give the position of head of the Church of England to Henry VIII alone and\
|
29 |
+
\ exclude his heirs (C) establish Calvinism as the one true theology in England\
|
30 |
+
\ (D) end various forms of corruption plaguing the Church in England\nA: Let's think\
|
31 |
+
\ step by step. We refer to Wikipedia articles on european history for help. The\
|
32 |
+
\ Act of Supremacy states that it grants authority to the king \"to repress and\
|
33 |
+
\ extirpate all errors, heresies, and other enormities and abuses\", referring to\
|
34 |
+
\ the corruption in the Church of England. The answer is (D).\n\nQ: This question\
|
35 |
+
\ refers to the following information.\nRead the following excerpt.\nThe revolutionary\
|
36 |
+
\ seed had penetrated into every country and spread more or less. It was greatly\
|
37 |
+
\ developed under the régime of the military despotism of Bonaparte. His conquests\
|
38 |
+
\ displaced a number of laws, institutions, and customs; broke through bonds sacred\
|
39 |
+
\ among all nations, strong enough to resist time itself; which is more than can\
|
40 |
+
\ be said of certain benefits conferred by these innovators.\nThe monarchs will\
|
41 |
+
\ fulfil the duties imposed upon them by Him who, by entrusting them with power,\
|
42 |
+
\ has charged them to watch over the maintenance of justice, and the rights of all,\
|
43 |
+
\ to avoid the paths of error, and tread firmly in the way of truth. Placed beyond\
|
44 |
+
\ the passions which agitate society, it is in days of trial chiefly that they are\
|
45 |
+
\ called upon to despoil realities of their false appearances, and to show themselves\
|
46 |
+
\ as they are, fathers invested with the authority belonging by right to the heads\
|
47 |
+
\ of families, to prove that, in days of mourning, they know how to be just, wise,\
|
48 |
+
\ and therefore strong, and that they will not abandon the people whom they ought\
|
49 |
+
\ to govern to be the sport of factions, to error and its consequences, which must\
|
50 |
+
\ involve the loss of society.\nUnion between the monarchs is the basis of the policy\
|
51 |
+
\ which must now be followed to save society from total ruin. . . .\nLet them not\
|
52 |
+
\ confound concessions made to parties with the good they ought to do for their\
|
53 |
+
\ people, in modifying, according to their recognized needs, such branches of the\
|
54 |
+
\ administration as require it.\nLet them be just, but strong; beneficent, but strict.\n\
|
55 |
+
Let them maintain religious principles in all their purity, and not allow the faith\
|
56 |
+
\ to be attacked and morality interpreted according to the social contract or the\
|
57 |
+
\ visions of foolish sectarians.\nLet them suppress Secret Societies; that gangrene\
|
58 |
+
\ of society.\n—Klemens von Metternich, Political Confession of Faith, 1820\nWhich\
|
59 |
+
\ of the following was the greatest cause of the fears expressed by Metternich in\
|
60 |
+
\ the document above?\n(A) The ideas of personal liberty and nationalism conceived\
|
61 |
+
\ during the Enlightenment resulted in radical revolutions that could spread throughout\
|
62 |
+
\ Europe. (B) The conquest of Europe by Napoleon led to the creation of new factions\
|
63 |
+
\ and shifted the European balance of power. (C) The power of monarchs had grown\
|
64 |
+
\ to the point where it needed to be checked by other powers within each nation\
|
65 |
+
\ or domination of civilians would occur. (D) The rising and falling economic cycle\
|
66 |
+
\ of the newly emerging capitalist economy could lead to civilian unrest that must\
|
67 |
+
\ be suppressed.\nA: Let's think step by step. We refer to Wikipedia articles on\
|
68 |
+
\ european history for help. The fears of revolution in early 19th century Europe\
|
69 |
+
\ expressed by Klemens von Metternich, a conservative Austrian statesman, were a\
|
70 |
+
\ direct result of the age of Enlightenment, a period of European history where\
|
71 |
+
\ the absolute power of the monarchy was challenged with ideas of individual liberty\
|
72 |
+
\ and nationalism, leading to the French revolution and its effects all over Europe.\
|
73 |
+
\ The answer is (A).\n\nQ: This question refers to the following information.\n\
|
74 |
+
The excerpts below are from the Navigation Acts of 1651.\n[A]fter the first day\
|
75 |
+
\ of December, one thousand six hundred fifty and one, and from thence forwards,\
|
76 |
+
\ no goods or commodities whatsoever of the growth, production or manufacture of\
|
77 |
+
\ Asia, Africa or America, or of any part thereof; or of any islands belonging to\
|
78 |
+
\ them, or which are described or laid down in the usual maps or cards of those\
|
79 |
+
\ places, as well of the English plantations as others, shall be imported or brought\
|
80 |
+
\ into this Commonwealth of England, or into Ireland, or any other lands, islands,\
|
81 |
+
\ plantations, or territories to this Commonwealth belonging, or in their possession,\
|
82 |
+
\ in any other ship or ships, vessel or vessels whatsoever, but only in such as\
|
83 |
+
\ do truly and without fraud belong only to the people of this Commonwealth, or\
|
84 |
+
\ the plantations thereof, as the proprietors or right owners thereof; and whereof\
|
85 |
+
\ the master and mariners are also of the people of this Commonwealth, under the\
|
86 |
+
\ penalty of the forfeiture and loss of all the goods that shall be imported contrary\
|
87 |
+
\ to this act, , , ,\n[N]o goods or commodities of the growth, production, or manufacture\
|
88 |
+
\ of Europe, or of any part thereof, shall after the first day of December, one\
|
89 |
+
\ thousand six hundred fifty and one, be imported or brought into this Commonwealth\
|
90 |
+
\ of England, or any other lands or territories to this Commonwealth belonging,\
|
91 |
+
\ or in their possession, in any ship or ships, vessel or vessels whatsoever, but\
|
92 |
+
\ in such as do truly and without fraud belong only to the people of this Commonwealth,\
|
93 |
+
\ and in no other, except only such foreign ships and vessels as do truly and properly\
|
94 |
+
\ belong to the people of that country or place, of which the said goods are the\
|
95 |
+
\ growth, production or manufacture.\nWhich of the following best describes the\
|
96 |
+
\ outcome of the Navigation Acts of 1651?\n(A) They served as a catalyst for the\
|
97 |
+
\ growth of English shipping and overseas trade, but did little to limit the prospects\
|
98 |
+
\ of the Dutch in the seventeenth century. (B) They brought about almost immediate\
|
99 |
+
\ hardships for the Dutch economy as their dominance of overseas trade quickly ended.\
|
100 |
+
\ (C) They were rescinded during the restoration of the Stuarts as they sought normal\
|
101 |
+
\ diplomatic relations with the Dutch so not as to need Parliament's financial support\
|
102 |
+
\ for war. (D) They led to nearly a century of recurrent war between England and\
|
103 |
+
\ the Netherlands, which would not end until after American independence.\nA: Let's\
|
104 |
+
\ think step by step. We refer to Wikipedia articles on european history for help.\
|
105 |
+
\ The Navigation Acts of 1651 helped English shipping by restricting the ability\
|
106 |
+
\ of ships from other European countries, especially the Dutch, to transport goods\
|
107 |
+
\ from colonies in Asia and Africa into England. The answer is (A).\n\nQ: This question\
|
108 |
+
\ refers to the following information.\nIn Russia there was nothing going on well,\
|
109 |
+
\ and [Souvarine] was in despair over the news he had received. His old companions\
|
110 |
+
\ were all turning to the politicians; the famous Nihilists who made Europe tremble-sons\
|
111 |
+
\ of village priests, of the lower middle class, of tradesmen-could not rise above\
|
112 |
+
\ the idea of national liberation, and seemed to believe that the world would be\
|
113 |
+
\ delivered-when they had killed their despot&…\n\"Foolery! They'll never get out\
|
114 |
+
\ of it with their foolery.\"\nThen, lowering his voice still more, in a few bitter\
|
115 |
+
\ words he described his old dream of fraternity. He had renounced his rank and\
|
116 |
+
\ his fortune; he had gone among workmen, only in the hope of seeing at last the\
|
117 |
+
\ foundation of a new society of labour in common. All the sous in his pockets had\
|
118 |
+
\ long gone to the urchins of the settlement; he had been as tender as a brother\
|
119 |
+
\ with the colliers, smiling at their suspicion, winning them over by his quiet\
|
120 |
+
\ workmanlike ways and his dislike of chattering. But decidedly the fusion had not\
|
121 |
+
\ taken place.\nHis voice changed, his eyes grew bright, he fixed them on étienne,\
|
122 |
+
\ directly addressing him:\n\"Now, do you understand that? These hatworkers at Marseilles\
|
123 |
+
\ who have won the great lottery prize of a hundred thousand francs have gone off\
|
124 |
+
\ at once and invested it, declaring that they are going to live without doing anything!\
|
125 |
+
\ Yes, that is your idea, all of you French workmen; you want to unearth a treasure\
|
126 |
+
\ in order to devour it alone afterwards in some lazy, selfish corner. You may cry\
|
127 |
+
\ out as much as you like against the rich, you haven't got courage enough to give\
|
128 |
+
\ back to the poor the money that luck brings you. You will never be worthy of happiness\
|
129 |
+
\ as long as you own anything, and your hatred of the bourgeois proceeds solely\
|
130 |
+
\ from an angry desire to be bourgeois yourselves in their place.\"\némile Zola,\
|
131 |
+
\ French writer, Germinal, 1885\nThe passage displays the direct concern for the\
|
132 |
+
\ welfare of the working classes that was typically a part of which movement?\n\
|
133 |
+
(A) Capitalist (B) Scientific (C) Communist (D) Existentialist\nA: Let's think step\
|
134 |
+
\ by step. We refer to Wikipedia articles on european history for help. The modern\
|
135 |
+
\ Communist movement aims to establish a classless society based on communal ownership\
|
136 |
+
\ and distribution of property and means of production, thereby especially benefiting\
|
137 |
+
\ the working classes. The answer is (C).\n\nQ: This question refers to the following\
|
138 |
+
\ information.\nThe following excerpt is from a pamphlet.\nYou will do me the justice\
|
139 |
+
\ to remember, that I have always strenuously supported the Right of every man to\
|
140 |
+
\ his own opinion, however different that opinion might be to mine. He who denies\
|
141 |
+
\ to another this right, makes a slave of himself to his present opinion, because\
|
142 |
+
\ he precludes himself the right of changing it.\nThe most formidable weapon against\
|
143 |
+
\ errors of every kind is Reason. I have never used any other, and I trust I never\
|
144 |
+
\ shall.\nThe circumstance that has now taken place in France of the total abolition\
|
145 |
+
\ of the whole national order of priesthood, and of everything appertaining to compulsive\
|
146 |
+
\ systems of religion, and compulsive articles of faith, has not only precipitated\
|
147 |
+
\ my intention, but rendered a work of this kind exceedingly necessary, lest in\
|
148 |
+
\ the general wreck of superstition, of false systems of government, and false theology,\
|
149 |
+
\ we lose sight of morality, of humanity, and of the theology that is true.\nI believe\
|
150 |
+
\ in one God, and no more; and I hope for happiness beyond this life.\nI believe\
|
151 |
+
\ in the equality of man; and I believe that religious duties consist in doing justice,\
|
152 |
+
\ loving mercy, and endeavoring to make our fellow-creatures happy.\nI do not believe\
|
153 |
+
\ in the creed professed by the Jewish church, by the Roman church, by the Greek\
|
154 |
+
\ church, by the Turkish church, by the Protestant church, nor by any church that\
|
155 |
+
\ I know of. My own mind is my own church.\nAll national institutions of churches,\
|
156 |
+
\ whether Jewish, Christian or Turkish, appear to me no other than human inventions,\
|
157 |
+
\ set up to terrify and enslave mankind, and monopolize power and profit.\nI do\
|
158 |
+
\ not mean by this declaration to condemn those who believe otherwise; they have\
|
159 |
+
\ the same right to their belief as I have to mine.\n—Thomas Paine, The Age of Reason,\
|
160 |
+
\ 1794–1795\nWhich of the following Enlightenment philosophes designed a system\
|
161 |
+
\ of checks and balances for government to avoid abuses of power?\n(A) Jean Jacques\
|
162 |
+
\ Rousseau (B) Baron Montesquieu (C) Mary Wollstonecraft (D) Adam Smith\nA: Let's\
|
163 |
+
\ think step by step. We refer to Wikipedia articles on european history for help.\
|
164 |
+
\ Baron Montesquieu was a 18th centrury French philsopher who wrote extensively\
|
165 |
+
\ against the monoplization of power and advocated for a system of checks and balances\
|
166 |
+
\ in government to prevent the rise of despotism. The answer is (B).\n\n"
|
167 |
+
"group": "mmlu_flan_cot_fewshot_humanities"
|
168 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
169 |
+
"task": "mmlu_flan_cot_fewshot_high_school_european_history"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_geography.yaml
ADDED
@@ -0,0 +1,37 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_geography"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school geography.\n\nQ: Which one of the following items is an example of nonmaterial\
|
4 |
+
\ culture?\n(A) Dove soap (B) Dove candy bar (C) Dove symbol (D) A dove (bird).\n\
|
5 |
+
A: Let's think step by step. We refer to Wikipedia articles on geography for help.\
|
6 |
+
\ Nonmaterial culture consists of cultural ideas, beliefs or symbols that are not\
|
7 |
+
\ physical objects. The answer is (C).\n\nQ: During the third stage of the demographic\
|
8 |
+
\ transition model, which of the following is true?\n(A) Birth rates increase and\
|
9 |
+
\ population growth rate is less rapid. (B) Birth rates decline and population growth\
|
10 |
+
\ rate is less rapid. (C) Birth rates increase and population growth rate increases.\
|
11 |
+
\ (D) Birth rates decrease and population growth rate increases.\nA: Let's think\
|
12 |
+
\ step by step. We refer to Wikipedia articles on geography for help. The demographic\
|
13 |
+
\ transition model models the five different stages of population growth as a country\
|
14 |
+
\ goes through economic development, where the third stage refers to a period of\
|
15 |
+
\ declining birth rates and lower population growth. The answer is (B).\n\nQ: The\
|
16 |
+
\ practice of hiring a foreign third-party service provider to run an operation\
|
17 |
+
\ is called\n(A) outsourcing. (B) offshoring. (C) maquiladoras. (D) locational interdependence.\n\
|
18 |
+
A: Let's think step by step. We refer to Wikipedia articles on geography for help.\
|
19 |
+
\ \"Offshoring\" literally means to move or base some of the activities or processes\
|
20 |
+
\ of a company to a foreign country. The answer is (B).\n\nQ: Which of the following\
|
21 |
+
\ statements is NOT accurate regarding the services provided by local governments\
|
22 |
+
\ in the United States?\n(A) Duplication of efforts occurs often. (B) Social problems\
|
23 |
+
\ of the central city spill over into the surrounding residential suburbs. (C) Inefficiency\
|
24 |
+
\ in providing services occurs often. (D) One neighborhood's efforts to reduce pollution\
|
25 |
+
\ are always supported by neighboring communities.\nA: Let's think step by step.\
|
26 |
+
\ We refer to Wikipedia articles on geography for help. There may be economic, social\
|
27 |
+
\ or political reasons for two neighboring communities and their local governments\
|
28 |
+
\ not agreeing to pollution reduction efforts initiated by one of them. The answer\
|
29 |
+
\ is (D).\n\nQ: The rate of natural increase of a population is found by subtracting\
|
30 |
+
\ the\n(A) crude death rate from the crude birth date. (B) crude birth rate from\
|
31 |
+
\ the crude death rate. (C) doubling time from the crude birth rate. (D) fertility\
|
32 |
+
\ rate from the crude death rate.\nA: Let's think step by step. We refer to Wikipedia\
|
33 |
+
\ articles on geography for help. The difference between number of births and deaths\
|
34 |
+
\ gives the population increase at any given time. The answer is (A).\n\n"
|
35 |
+
"group": "mmlu_flan_cot_fewshot_social_sciences"
|
36 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
37 |
+
"task": "mmlu_flan_cot_fewshot_high_school_geography"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_government_and_politics.yaml
ADDED
@@ -0,0 +1,43 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_government_and_politics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school government and politics.\n\nQ: Which of the following best states an argument\
|
4 |
+
\ made by James Madison in The Federalist number 10?\n(A) Honest politicians can\
|
5 |
+
\ prevent factions from developing. (B) Factions are more likely to occur in large\
|
6 |
+
\ republics than in small ones. (C) The negative effects of factionalism can be\
|
7 |
+
\ reduced by a republican government. (D) Free elections are the people's best defense\
|
8 |
+
\ against factionalism.\nA: Let's think step by step. We refer to Wikipedia articles\
|
9 |
+
\ on government and politics for help. In the Federalist number 10, James Madison\
|
10 |
+
\ advocated for a representative republican form of government to guard against\
|
11 |
+
\ factionalism. The answer is (C).\n\nQ: The term \"budget deficit\" refers to the\n\
|
12 |
+
(A) annual increase in federal spending on the military (B) amount of interest on\
|
13 |
+
\ the national debt (C) difference between the initial budget proposals made by\
|
14 |
+
\ the president and Congress (D) amount the government spends in excess of its revenues\n\
|
15 |
+
A: Let's think step by step. We refer to Wikipedia articles on government and politics\
|
16 |
+
\ for help. When the goverment spends more than it earns, their difference is the\
|
17 |
+
\ budget deficit. The answer is (D).\n\nQ: Which of the following statements about\
|
18 |
+
\ cabinet departments is FALSE?\n(A) They are established by the legislative branch.\
|
19 |
+
\ (B) Their members often don't have much influence over presidential decisions.\
|
20 |
+
\ (C) They cannot all be run by leaders who belong to the same political party the\
|
21 |
+
\ president does. (D) Not every federal agency is a cabinet department.\nA: Let's\
|
22 |
+
\ think step by step. We refer to Wikipedia articles on government and politics\
|
23 |
+
\ for help. There is no law stipulating that some cabinet department leaders have\
|
24 |
+
\ to belong to a political party different from that of the president. The answer\
|
25 |
+
\ is (C).\n\nQ: Which of the following cases established the precedent that a defendant\
|
26 |
+
\ must be informed of the right to remain silent, the right to a lawyer, and protection\
|
27 |
+
\ from self-incrimination?\n(A) Weeks v. United States (B) Betts v. Brady (C) Mapp\
|
28 |
+
\ v. Ohio (D) Miranda v. Arizona\nA: Let's think step by step. We refer to Wikipedia\
|
29 |
+
\ articles on government and politics for help. In the landmark Miranda v. Arizona\
|
30 |
+
\ in 1966, the US Supreme Court, based on the Fifth and Sixth Amendment of the US\
|
31 |
+
\ Constitution, guaranteed a defendant's right to an attorney and protection from\
|
32 |
+
\ self-incrimination. The answer is (D).\n\nQ: Uncertainty over the limits to presidential\
|
33 |
+
\ power is caused primarily by the fact that\n(A) the constitutional definition\
|
34 |
+
\ of those powers is broad and unspecific (B) most people agree that the Constitution\
|
35 |
+
\ places too many limits on presidential power (C) the Supreme Court consistently\
|
36 |
+
\ refuses to rule on cases concerning presidential powers (D) constitutional amendments\
|
37 |
+
\ have greatly increased presidential powers\nA: Let's think step by step. We refer\
|
38 |
+
\ to Wikipedia articles on government and politics for help. The US Constitution\
|
39 |
+
\ is not very specific about the powers of the president, leading to uncertainty\
|
40 |
+
\ over its limits. The answer is (A).\n\n"
|
41 |
+
"group": "mmlu_flan_cot_fewshot_social_sciences"
|
42 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
43 |
+
"task": "mmlu_flan_cot_fewshot_high_school_government_and_politics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_macroeconomics.yaml
ADDED
@@ -0,0 +1,37 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
|
|
|
1 |
+
"dataset_name": "high_school_macroeconomics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school macroeconomics.\n\nQ: Which of the following policies best describes supply-side\
|
4 |
+
\ fiscal policy?\n(A) An increase in the money supply (B) Increased government spending\
|
5 |
+
\ (C) Lower taxes on research and development of new technology (D) Higher taxes\
|
6 |
+
\ on household income\nA: Let's think step by step. We refer to Wikipedia articles\
|
7 |
+
\ on macroeconomics for help. Supply-side fiscal policy stimulates the economy by\
|
8 |
+
\ encouraging more production of goods and services through reduction in taxes and\
|
9 |
+
\ deregulation. The answer is (C).\n\nQ: The short-run Phillips curve indicates\
|
10 |
+
\ a\n(A) direct relation between unemployment and inflation (B) direct relation\
|
11 |
+
\ between price and quantity demanded (C) inverse relation between price and quantity\
|
12 |
+
\ demanded (D) inverse relation between unemployment and inflation\nA: Let's think\
|
13 |
+
\ step by step. We refer to Wikipedia articles on macroeconomics for help. The short-run\
|
14 |
+
\ Phillips curve shows that whenever unemployment decreases below a natural level,\
|
15 |
+
\ the inflation starts increasing, and vice-versa. The answer is (D).\n\nQ: Holding\
|
16 |
+
\ all else equal which of the following monetary policies would be used to boost\
|
17 |
+
\ U.S. exports?\n(A) Increasing the discount rate (B) Increasing the reserve ratio\
|
18 |
+
\ (C) Buying government securities (D) Lowering tariffs\nA: Let's think step by\
|
19 |
+
\ step. We refer to Wikipedia articles on macroeconomics for help. Buying government\
|
20 |
+
\ securities leads to reduction in demand for US dollars from foreign buyers, thereby\
|
21 |
+
\ making it cheaper and hence making US exports more attractive. The answer is (C).\n\
|
22 |
+
\nQ: A federal deficit occurs when\n(A) exports exceed imports. (B) imports exceed\
|
23 |
+
\ exports. (C) federal tax collections exceed spending. (D) federal spending exceeds\
|
24 |
+
\ federal tax revenues.\nA: Let's think step by step. We refer to Wikipedia articles\
|
25 |
+
\ on macroeconomics for help. A federal deficit occurs when federal spending exceeds\
|
26 |
+
\ federal income which is primarily from tax revenues. The answer is (D).\n\nQ:\
|
27 |
+
\ Which of the following is not included in the U.S. GDP?\n(A) The U.S. military\
|
28 |
+
\ opens a new base in a foreign country with 1000 U.S. personnel. (B) Japanese consumers\
|
29 |
+
\ buy thousands of CDs produced in the United States. (C) An American pop singer\
|
30 |
+
\ performs a sold-out concert in Paris. (D) A French theatrical production tours\
|
31 |
+
\ dozens of American cities.\nA: Let's think step by step. We refer to Wikipedia\
|
32 |
+
\ articles on macroeconomics for help. The economic transactions related to the\
|
33 |
+
\ performance of the American pop-singer in Paris happens entirely outside the U.S.\
|
34 |
+
\ and hence is not included in the GDP numbers. The answer is (C).\n\n"
|
35 |
+
"group": "mmlu_flan_cot_fewshot_social_sciences"
|
36 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
37 |
+
"task": "mmlu_flan_cot_fewshot_high_school_macroeconomics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_mathematics.yaml
ADDED
@@ -0,0 +1,37 @@
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_mathematics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school mathematics.\n\nQ: Simplify and write the result with a rational denominator:\
|
4 |
+
\ $$\\sqrt{\\sqrt[3]{\\sqrt{\\frac{1}{729}}}}$$\n(A) \\frac{3\\sqrt{3}}{3} (B) \\\
|
5 |
+
frac{1}{3} (C) \\sqrt{3} (D) \\frac{\\sqrt{3}}{3}\nA: Let's think step by step.\
|
6 |
+
\ Factoring $729=3^6$ and combining the roots $\\frac{1}{2}\\frac{1}{3}\\frac{1}{2}=\\\
|
7 |
+
frac{1}{12}$, we get that $\\sqrt{\\sqrt[3]{\\sqrt{\\frac{1}{729}}}}=\\left(\\frac{1}{3^6}\\\
|
8 |
+
right)^{\\frac{1}{12}}=\\frac{1}{3^{\\frac{1}{2}}}=\\frac{3}{\\sqrt{3}}$ The answer\
|
9 |
+
\ is (D).\n\nQ: Five thousand dollars compounded annually at an $x\\%$ interest\
|
10 |
+
\ rate takes six years to double. At the same interest rate, how many years will\
|
11 |
+
\ it take $\\$300$ to grow to $\\$9600$?\n(A) 12 (B) 1 (C) 30 (D) 5\nA: Let's think\
|
12 |
+
\ step by step. To go from $\\$300$ to $\\$9600$, the value must go up by a factor\
|
13 |
+
\ of $9600/300=32=2^5$. Since at this interest rate it takes six years for it to\
|
14 |
+
\ double, it will take $5*6=30$ years to grow to $\\$9600$. The answer is (C).\n\
|
15 |
+
\nQ: Ten students take a biology test and receive the following scores: 45, 55,\
|
16 |
+
\ 50, 70, 65, 80, 40, 90, 70, 85. What is the mean of the students’ test scores?\n\
|
17 |
+
(A) 55 (B) 60 (C) 62 (D) 65\nA: Let's think step by step. There are 10 students\
|
18 |
+
\ and the sum of their scores is $45 + 55 + 50 + 70 + 65 + 80 + 40 + 90 + 70 + 85\
|
19 |
+
\ = 650$, the mean is $650/10=65$. The answer is (D).\n\nQ: The variable $x$ varies\
|
20 |
+
\ directly as the square of $y$, and $y$ varies directly as the cube of $z$. If\
|
21 |
+
\ $x$ equals $-16$ when $z$ equals 2, what is the value of $x$ when $z$ equals $\\\
|
22 |
+
frac{1}{2}$?\n(A) -1 (B) 16 (C) -\\frac{1}{256} (D) \\frac{1}{16}\nA: Let's think\
|
23 |
+
\ step by step. We know that $x \\propto y^2$ and $y \\propto z^3$, so $x = k z^6$\
|
24 |
+
\ for some constant $k$. Plugging in for $x=-16$ and $z=2$, the constant value is\
|
25 |
+
\ $k=\\frac{x}{z^6}=\\frac{-16}{64}=-\\frac{1}{4}$. So, when $z=\\frac{1}{2}$, the\
|
26 |
+
\ value of $x$ is $x=kz^6=-\\frac{1}{4}\\frac{1}{2^6}=-\\frac{1}{256}$. The answer\
|
27 |
+
\ is (C).\n\nQ: Joe was in charge of lights for a dance. The red light blinks every\
|
28 |
+
\ two seconds, the yellow light every three seconds, and the blue light every five\
|
29 |
+
\ seconds. If we include the very beginning and very end of the dance, how many\
|
30 |
+
\ times during a seven minute dance will all the lights come on at the same time?\
|
31 |
+
\ (Assume that all three lights blink simultaneously at the very beginning of the\
|
32 |
+
\ dance.)\n(A) 3 (B) 15 (C) 6 (D) 5\nA: Let's think step by step. The least common\
|
33 |
+
\ multiple of 2, 3 and 5 is 30, so during a 7 minute dance, all the three lights\
|
34 |
+
\ will come on at the same time $2*7+1=15$ times. The answer is (B).\n\n"
|
35 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
36 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
37 |
+
"task": "mmlu_flan_cot_fewshot_high_school_mathematics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_microeconomics.yaml
ADDED
@@ -0,0 +1,40 @@
|
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|
|
|
|
|
|
|
|
|
|
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|
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|
|
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|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_microeconomics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school microeconomics.\n\nQ: Which of the following is necessarily a characteristic\
|
4 |
+
\ of oligopoly?\n(A) Free entry into and exit from the market (B) A few large producers\
|
5 |
+
\ (C) One producer of a good with no close substitutes (D) A homogenous product\n\
|
6 |
+
A: Let's think step by step. We refer to Wikipedia articles on microeconomics for\
|
7 |
+
\ help. An oligopoly is when a market is dominated by just one or a few number of\
|
8 |
+
\ sellers or producers. To get oligopoly, the market should have high barriers to\
|
9 |
+
\ new entry, and the product has differentiation. The answer is (B).\n\nQ: If the\
|
10 |
+
\ government subsidizes producers in a perfectly competitive market, then\n(A) the\
|
11 |
+
\ demand for the product will increase (B) the demand for the product will decrease\
|
12 |
+
\ (C) the consumer surplus will increase (D) the consumer surplus will decrease\n\
|
13 |
+
A: Let's think step by step. We refer to Wikipedia articles on microeconomics for\
|
14 |
+
\ help. (A) and (B) are wrong because the demand curve does not change at all. If\
|
15 |
+
\ the government subsidizes producers, the supply will increase, and thus the consumer\
|
16 |
+
\ surplus also increases. The answer is (C).\n\nQ: Which of the following is true\
|
17 |
+
\ of a price floor?\n(A) The price floor shifts the demand curve to the left. (B)\
|
18 |
+
\ An effective floor creates a shortage of the good. (C) The price floor shifts\
|
19 |
+
\ the supply curve of the good to the right. (D) To be an effective floor, it must\
|
20 |
+
\ be set above the equilibrium price.\nA: Let's think step by step. We refer to\
|
21 |
+
\ Wikipedia articles on microeconomics for help. Price floor does not shift the\
|
22 |
+
\ demand or shift curve. An effective price floor should be set above the equilibrium\
|
23 |
+
\ price, otherwise the market bears and the floor does not have effective effect.\
|
24 |
+
\ The answer is (D).\n\nQ: The concentration ratio for a monopoly is\n(A) 0 (B)\
|
25 |
+
\ 5 (C) 10 (D) 100\nA: Let's think step by step. We refer to Wikipedia articles\
|
26 |
+
\ on microeconomics for help. The concentration ratio is calculated as the sum of\
|
27 |
+
\ market share of a specific number of largest companies. Monopoly means one company\
|
28 |
+
\ or entity controls the entire market, therefore, the concentration ratio is 100\
|
29 |
+
\ percent. The answer is (D).\n\nQ: In a competitive labor market for housepainters,\
|
30 |
+
\ which of the following would increase the demand for housepainters?\n(A) An effective\
|
31 |
+
\ minimum wage imposed on this labor market. (B) An increase in the price of gallons\
|
32 |
+
\ of paint. (C) An increase in the construction of new houses. (D) An increase in\
|
33 |
+
\ the price of mechanical painters so long as the output effect exceeds the substitution\
|
34 |
+
\ effect.\nA: Let's think step by step. We refer to Wikipedia articles on microeconomics\
|
35 |
+
\ for help. An increase in the construction of new houses means an increase demand\
|
36 |
+
\ of in-house painting, thus increases the demand for housepainters. The answer\
|
37 |
+
\ is (C).\n\n"
|
38 |
+
"group": "mmlu_flan_cot_fewshot_social_sciences"
|
39 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
40 |
+
"task": "mmlu_flan_cot_fewshot_high_school_microeconomics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_physics.yaml
ADDED
@@ -0,0 +1,39 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_physics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school physics.\n\nQ: A microwave oven is connected to an outlet, 120 V, and draws\
|
4 |
+
\ a current of 2 amps. At what rate is energy being used by the microwave oven?\n\
|
5 |
+
(A) 10 W (B) 30 W (C) 60 W (D) 240 W\nA: Let's think step by step. Rate of energy\
|
6 |
+
\ usage is known as power; in an dissipative electrical circuit, power is given\
|
7 |
+
\ by voltage times current. So in our case, the power is 120 V times 2 amps, or\
|
8 |
+
\ 240 W. The answer is (D).\n\nQ: A point charge, Q = +1 mC, is fixed at the origin.\
|
9 |
+
\ How much work is required to move a charge, Q = +8 µC, from the point (0, 4 meters)\
|
10 |
+
\ to the point (3 meters, 0)?\n(A) 3.5 J (B) 6.0 J (C) 22.5 J (D) 40 J\nA: Let's\
|
11 |
+
\ think step by step. To calculate the work required to move a charge from one location\
|
12 |
+
\ to another in a fixed electric field, it is enough to calculate the potential\
|
13 |
+
\ difference between the two locations. Here, the potential only depends on the\
|
14 |
+
\ distance between the charges; it’s $k q_1 q_2 / r$, where $k$ is Coulomb’s constant.\
|
15 |
+
\ Plugging in values $q_1 = $ 1 mC, $q_2 = 8 \\mu$ C, gives the answer as 5.992\
|
16 |
+
\ J, which rounds to 6 J. The answer is (B).\n\nQ: Which of the following conditions\
|
17 |
+
\ will ensure that angular momentum is conserved? I. Conservation of linear momentum\
|
18 |
+
\ II. Zero net external force III. Zero net external torque\n(A) I and II only (B)\
|
19 |
+
\ I and III only (C) II and III only (D) III only\nA: Let's think step by step.\
|
20 |
+
\ Torque is defined as the change in angular momentum; if there is zero external\
|
21 |
+
\ torque, angular momentum is conserved. The answer is (D).\n\nQ: A photocell of\
|
22 |
+
\ work function ϕ = 2eV is connected to a resistor in series. Light of frequency\
|
23 |
+
\ f = 1 × 10^15 Hz hits a metal plate of the photocell. If the power of the light\
|
24 |
+
\ is P = 100 W, what is the current through the resistor?\n(A) 2:00 AM (B) 6:00\
|
25 |
+
\ AM (C) 12:00 AM (D) 24 A\nA: Let's think step by step. The only answer above which\
|
26 |
+
\ has units of current is D, 24 A. The answer is (D).\n\nQ: A pipe full of air is\
|
27 |
+
\ closed at one end. A standing wave is produced in the pipe, causing the pipe to\
|
28 |
+
\ sound a note. Which of the following is a correct statement about the wave’s properties\
|
29 |
+
\ at the closed end of the pipe?\n(A) The pressure is at a node, but the particle\
|
30 |
+
\ displacement is at an antinode. (B) The pressure is at an antinode, but the particle\
|
31 |
+
\ displacement is at a node. (C) The pressure and the particle displacement are\
|
32 |
+
\ both at nodes. (D) The pressure and the particle displacement are both at antinodes.\n\
|
33 |
+
A: Let's think step by step. At the closed end of the pipe, the particles cannot\
|
34 |
+
\ have any net displacement because the pipe closure stops them. So the particle\
|
35 |
+
\ displacement is at a node. This closure also causes the pressure to be maximal,\
|
36 |
+
\ i.e. an antinode. The answer is (B).\n\n"
|
37 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
38 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
39 |
+
"task": "mmlu_flan_cot_fewshot_high_school_physics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_psychology.yaml
ADDED
@@ -0,0 +1,48 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_psychology"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school psychology.\n\nQ: Pascale is interested in the processing strategies children\
|
4 |
+
\ use to learn new information. Pascale would best be classified as what type of\
|
5 |
+
\ psychologist?\n(A) sociocultural (B) clinical (C) cognitive (D) behaviorist\n\
|
6 |
+
A: Let's think step by step. We refer to Wikipedia articles on psychology for help.\
|
7 |
+
\ Sociocultural psychologist focuses on the effect of societal factors on people.\
|
8 |
+
\ Clinical psychologist focuses on people with mental issues. Cognitive psychologist\
|
9 |
+
\ focuses on how people think and learn, including the processing strategies. Behaviorist\
|
10 |
+
\ focuses more on the environment and experience effect on people. The answer is\
|
11 |
+
\ (C).\n\nQ: According to Caplan's model of consultee-centered case consultation,\
|
12 |
+
\ the consultant is primarily interested in\n(A) identifying the causes and solutions\
|
13 |
+
\ of the client's presenting problems (B) identifying and eliminating the causes\
|
14 |
+
\ of the consultee's difficulties in handling a problem (C) establishing a hierarchy\
|
15 |
+
\ of authority to enable effective decision making (D) presenting a single, well-defined\
|
16 |
+
\ and unambiguous course of action for the consultant to overcome skills deficits\n\
|
17 |
+
A: Let's think step by step. We refer to Wikipedia articles on psychology for help.\
|
18 |
+
\ Caplan defines two type of consultation. Client-centered case consultation aims\
|
19 |
+
\ to handle client's problems, while consultee-centered case consultation aims to\
|
20 |
+
\ identify the reason of client's difficulty to solve problems. The answer is (B).\n\
|
21 |
+
\nQ: According to the Individuals with Disabilities Education Improvement Act, which\
|
22 |
+
\ of the following must an educational agency do before it changes the educational\
|
23 |
+
\ placement of a student with a disability?\n(A) Give the child a trial period in\
|
24 |
+
\ the new environment (B) Notify the parents in writing (C) Obtain school board\
|
25 |
+
\ approval (D) Obtain parental consent\nA: Let's think step by step. We refer to\
|
26 |
+
\ Wikipedia articles on psychology for help. When the decision to change the educational\
|
27 |
+
\ placement of a student with a disability is made, the educational agency must\
|
28 |
+
\ notify the parents in writing on that date. The answer is (B).\n\nQ: While swimming\
|
29 |
+
\ in the ocean, Ivan is frightened by a dark shadow in the water even before he\
|
30 |
+
\ has the chance to identify what the shadow is. The synaptic connections taking\
|
31 |
+
\ place during this incident of fright are best described by which of the following?\n\
|
32 |
+
(A) Messages are sent from the thalamus directly to the amygdala. (B) Messages are\
|
33 |
+
\ sent from the thalamus to the \"what\" and \"where\" pathways. (C) Messages are\
|
34 |
+
\ sent from the parasympathetic nervous system to the cerebral cortex. (D) Messages\
|
35 |
+
\ are sent from the frontal lobes to the pituitary gland.\nA: Let's think step by\
|
36 |
+
\ step. We refer to Wikipedia articles on psychology for help. Our neural system\
|
37 |
+
\ has a mechanism that can respond immediate emotional signal before going to the\
|
38 |
+
\ thought center. In the Ivan's case, messages travel directly from thalamus to\
|
39 |
+
\ amygdala. The answer is (A).\n\nQ: Ani believes that her attitudes and behavior\
|
40 |
+
\ play a central role in what happens to her. Such a belief is likely to be associated\
|
41 |
+
\ with\n(A) a strong superego. (B) low self-esteem. (C) low self-efficacy. (D) an\
|
42 |
+
\ internal locus of control.\nA: Let's think step by step. We refer to Wikipedia\
|
43 |
+
\ articles on psychology for help. People with an external locus of control believes\
|
44 |
+
\ fate and luck play an important role in their lives, while people with an internal\
|
45 |
+
\ locus of control believes they control their lives. The answer is (D).\n\n"
|
46 |
+
"group": "mmlu_flan_cot_fewshot_social_sciences"
|
47 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
48 |
+
"task": "mmlu_flan_cot_fewshot_high_school_psychology"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_statistics.yaml
ADDED
@@ -0,0 +1,58 @@
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|
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|
|
|
|
|
1 |
+
"dataset_name": "high_school_statistics"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school statistics.\n\nQ: A new smartwatch is manufactured in one part of a factory,\
|
4 |
+
\ then secured for shipping in another, independent part of the factory. The weight\
|
5 |
+
\ of the smartwatch has a mean of 62 grams and a standard deviation of 1.0 grams.\
|
6 |
+
\ The weight of the packaging (box, user's guide, bubble wrap, etc.) has a mean\
|
7 |
+
\ of 456 grams and a standard deviation of 6 grams. Together, the distribution of\
|
8 |
+
\ the weight of the smartwatch and its packaging would have the following mean and\
|
9 |
+
\ standard deviation:\n(A) Mean 518 grams; standard deviation 7.0 grams (B) Mean\
|
10 |
+
\ 518 grams; standard deviation 3.5 grams (C) Mean 518 grams; standard deviation\
|
11 |
+
\ 6.1 grams (D) Mean 394 grams; standard deviation 6.1 grams\nA: Let's think step\
|
12 |
+
\ by step. Since the weight of the watch and the weight of the packaging are independent\
|
13 |
+
\ random variables, the mean and variance of their sum is equal to the sum of their\
|
14 |
+
\ individual means and variances. So the mean is 62 + 456 = 518 grams, and the variances\
|
15 |
+
\ is 1.0^2 + 6.0^2 = 37, leading to a standard deviation of 6.1 grams. The answer\
|
16 |
+
\ is (C).\n\nQ: After a frost warning was issued, the owner of a large orange grove\
|
17 |
+
\ asked his workers to spray all his trees with water. The water was supposed to\
|
18 |
+
\ freeze and form a protective covering of ice around the orange blossom. Nevertheless,\
|
19 |
+
\ the owner suspected that some trees suffered considerable damage due to the frost.\
|
20 |
+
\ To estimate the proportion of trees that suffered more than 50 percent damage\
|
21 |
+
\ due to the frost, he took a random sample of 100 trees from his grove. What is\
|
22 |
+
\ the response variable in this experiment?\n(A) The proportion of trees that suffered\
|
23 |
+
\ more than 50 percent damage due to frost. (B) The number of trees affected by\
|
24 |
+
\ the frost. (C) The number of trees sampled from the grove. (D) For each sampled\
|
25 |
+
\ tree, whether it suffered more than 50 percent damage or at most 50 percent damage.\n\
|
26 |
+
A: Let's think step by step. In this experiment, the response variable is what is\
|
27 |
+
\ measured. For each tree, what is measured is whether or not it suffered more than\
|
28 |
+
\ 50 percent damage due to the frost. The answer is (D).\n\nQ: Suppose X and Y are\
|
29 |
+
\ random variables with E(X) = 37, var(X) = 5, E(Y) = 62, and var(Y) = 12. What\
|
30 |
+
\ are the expected value and variance of the random variable X + Y?\n(A) E(X + Y)\
|
31 |
+
\ = 99, var(X + Y) = 8.5 (B) E(X + Y) = 99, var(X + Y) = 13 (C) E(X + Y) = 99, var(X\
|
32 |
+
\ + Y) = 17 (D) There is insufficient information to answer this question.\nA: Let's\
|
33 |
+
\ think step by step. While means of sums of random variables add (regardless of\
|
34 |
+
\ whether the variables are independent) in order to determine the variance of a\
|
35 |
+
\ sum of random variables, we need to know not just their individual variances but\
|
36 |
+
\ the covariance of the two variables, which is not given in this problem. The answer\
|
37 |
+
\ is (D).\n\nQ: Which of the following sets has the smallest standard deviation?\
|
38 |
+
\ Which has the largest?\nI: {1,2,3}\nII: {-10,10}\nIII: {100}\n(A) I, II (B) II,\
|
39 |
+
\ III (C) III, I (D) III, II\nA: Let's think step by step. The variance of distribution\
|
40 |
+
\ I is the expected squared deviation from its mean (which is 2), so the variance\
|
41 |
+
\ is 2/3 . The variance of distribution II is 10^2 (because both elements are 10\
|
42 |
+
\ away from the mean of zero). The variance of distribution III is 0, since it has\
|
43 |
+
\ a single entry. So distribution III has the smallest standard deviation and distribution\
|
44 |
+
\ II has the largest. The answer is (D).\n\nQ: Which of the following is a correct\
|
45 |
+
\ statement about correlation?\n(A) If the slope of the regression line is exactly\
|
46 |
+
\ 1, then the correlation is exactly 1. (B) If the correlation is 0, then the slope\
|
47 |
+
\ of the regression line is undefined. (C) Switching which variable is called x\
|
48 |
+
\ and which is called y changes the sign of the correlation. (D) The correlation\
|
49 |
+
\ r is equal to the slope of the regression line when z-scores for the y-variable\
|
50 |
+
\ are plotted against z-scores for the x-variable.\nA: Let's think step by step.\
|
51 |
+
\ Statement A is false because the slope of the regression line being exactly 1\
|
52 |
+
\ can occur even when the two variables are not perfectly correlated. Statement\
|
53 |
+
\ B is false because uncorrelated variables regression lines can have slope zero.\
|
54 |
+
\ Statement C is false because correlation is symmetric in the two random variables.\
|
55 |
+
\ The answer is (D).\n\n"
|
56 |
+
"group": "mmlu_flan_cot_fewshot_stem"
|
57 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
58 |
+
"task": "mmlu_flan_cot_fewshot_high_school_statistics"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_us_history.yaml
ADDED
@@ -0,0 +1,134 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
"dataset_name": "high_school_us_history"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school us history.\n\nQ: This question refers to the following information.\n\
|
4 |
+
I come not to urge personal claims, nor to seek individual benefits; I appear as\
|
5 |
+
\ the advocate of those who cannot plead their own cause; I come as the friend of\
|
6 |
+
\ those who are deserted, oppressed, and desolate. In the Providence of God, I am\
|
7 |
+
\ the voice of the maniac whose piercing cries from the dreary dungeons of your\
|
8 |
+
\ jails penetrate not your Halls of Legislation. I am the Hope of the poor crazed\
|
9 |
+
\ beings who pine in the cells, and stalls, and cages, and waste rooms of your poor-houses.\
|
10 |
+
\ I am the Revelation of hundreds of wailing, suffering creatures, hidden in your\
|
11 |
+
\ private dwellings, and in pens and cabins—shut out, cut off from all healing influences,\
|
12 |
+
\ from all mind-restoring cares.… Could their melancholy histories be spread before\
|
13 |
+
\ you as revealed to my grieved spirit during the last three months, how promptly,\
|
14 |
+
\ how earnestly would you search out the most approved means of relief; how trifling,\
|
15 |
+
\ how insignificant, by comparison, would appear the sacrifices you are asked to\
|
16 |
+
\ make; how would a few dimes and dollars, gathered from each citizen, diminish\
|
17 |
+
\ in value as a possession, compared with the certain benefits and vast good to\
|
18 |
+
\ be secured for the suffering insane...by the consecration and application of a\
|
19 |
+
\ sufficient fund to the construction of a suitable hospital.…\n—Dorothea Dix, Memorial\
|
20 |
+
\ Soliciting a State Hospital for the Protection and Cure of the Insane,\nSubmitted\
|
21 |
+
\ to the General Assembly of North Carolina, November 1848\nDorothea Dix can best\
|
22 |
+
\ be compared to whom?\n(A) Abigail Adams (B) Clara Barton (C) Shirley Temple (D)\
|
23 |
+
\ Hillary Clinton\nA: Let's think step by step. We refer to Wikipedia articles on\
|
24 |
+
\ us history for help. Both Dorothea Dix and Clara barton are American nurses. The\
|
25 |
+
\ answer is (B).\n\nQ: This question refers to the following information.\n\"As\
|
26 |
+
\ our late Conduct at the Conestoga Manor and Lancaster have occasioned much Speculation\
|
27 |
+
\ & a great diversity of Sentiments in this and neighboring Governments; some vindicating\
|
28 |
+
\ & others condemning it; some charitably alleviating the Crime, & others maliciously\
|
29 |
+
\ painting it in the most odious & detestable Colours, we think it our duty to lay\
|
30 |
+
\ before the Publick, the whole Matter as it appeared, & still appears, to us. .\
|
31 |
+
\ . .\n\"If these things are not sufficient to prove an unjustifiable Attachment\
|
32 |
+
\ in the Quakers to the Indians Savages, a fixed Resolution to befriend them & an\
|
33 |
+
\ utter insensibility to human Distresses, let us consider a few more recent Facts.\
|
34 |
+
\ When we found the last Summer that we were likely to get no Assistance from the\
|
35 |
+
\ Government, some Volunteers went out at our own Expense, determined to drive our\
|
36 |
+
\ Enemies from our Borders; & when we came near to the great Island, we understood\
|
37 |
+
\ that a Number of their Warriors had gone out against our Frontiers. Upon this\
|
38 |
+
\ we returned and came up with them and fought with them at the Munfey Hill where\
|
39 |
+
\ we lost some of our Men & killed some of their Warriors & thereby saved our Frontiers\
|
40 |
+
\ from this Story in another Expedition. But no sooner had we destroyed their Provisions\
|
41 |
+
\ on the great Island, & ruined their trade with the good People at Bethlehem, but\
|
42 |
+
\ these very Indians, who were justly suspected of having murdered our Friends in\
|
43 |
+
\ Northampton County, were by the Influence of some Quakers taken under the Protection\
|
44 |
+
\ of the Government to screen them from the Resentments of the Friends and Relations\
|
45 |
+
\ of the Murdered, & to support them thro the Winter.\"\n—\"Apology of the Paxton\
|
46 |
+
\ Boys\" (pamphlet), 1764 (Note: \"apology\" in this context should be read as an\
|
47 |
+
\ explanation, not an admission of guilt or regret.\nThe sentiments expressed in\
|
48 |
+
\ the explanation above reflect which of the ongoing tensions during the colonial\
|
49 |
+
\ period of American history?\n(A) Tensions between British policies and the aspirations\
|
50 |
+
\ of North American colonists. (B) Tensions between American Indians allied with\
|
51 |
+
\ the French and those allied with the British. (C) Tensions between freed African\
|
52 |
+
\ Americans and white planters. (D) Tensions between backcountry settlers and elites\
|
53 |
+
\ within colonial America.\nA: Let's think step by step. We refer to Wikipedia articles\
|
54 |
+
\ on us history for help. After the French and Indian War, the Scotch-Irish settlers\
|
55 |
+
\ attacked American Indians. After the attacks on the Conestoga, about 250 Paxton\
|
56 |
+
\ Boys present their grievances to the Pennsylvania legislature. As mentioned in\
|
57 |
+
\ the information, the Paxton Boys cited resentiment at local elites. The answer\
|
58 |
+
\ is (D).\n\nQ: This question refers to the following information.\nOur leaders\
|
59 |
+
\ talk about stopping aggression from the north, but this was a struggle among groups\
|
60 |
+
\ of Vietnamese until we intervened. We seem bent upon saving the Vietnamese from\
|
61 |
+
\ Ho Chi Minh even if we have to kill them and demolish their country to do it.\
|
62 |
+
\ As the native people survey bombed-out villages, women and children burned by\
|
63 |
+
\ napalm, rice crops destroyed and cities overrun with our military personnel, they\
|
64 |
+
\ are doubtless saying secretly of the Vietcong guerillas and of the American forces,\
|
65 |
+
\ \"A plague on both your houses.\" … Stop the bombing, north and south, end search\
|
66 |
+
\ and destroy offensive sweeps, and confine our military action to holding operations\
|
67 |
+
\ on the ground. Bombing the north has failed to halt or seriously check the flow\
|
68 |
+
\ of troops to the south and may, in fact, have prompted a much greater war effort\
|
69 |
+
\ by Hanoi.\n—Senator George McGovern, \"The Lessons of Vietnam,\" April 25, 1967\n\
|
70 |
+
Which of the following opinions from the 1960s most directly reflects the perspective\
|
71 |
+
\ of George McGovern's speech?\n(A) Americans must maximize their technological\
|
72 |
+
\ edge in Vietnam. (B) American bombing in Vietnam is step by step leading to progress\
|
73 |
+
\ in the war. (C) American bombing in Vietnam is a failure. (D) America must not\
|
74 |
+
\ give in to defeatism about the war in Vietnam.\nA: Let's think step by step. We\
|
75 |
+
\ refer to Wikipedia articles on us history for help. \"Stop the bombing\" and \"\
|
76 |
+
Bombing the north has failed to halt or seriously check the flow of troops to the\
|
77 |
+
\ south\" indicate that the perspective of George McGovern's speech is that Amerian\
|
78 |
+
\ bombing in Vietnam is a failure. The answer is (C).\n\nQ: This question refers\
|
79 |
+
\ to the following information.\n\"In the new Code of Laws which I suppose it will\
|
80 |
+
\ be necessary for you to make I desire you would Remember the Ladies, and be more\
|
81 |
+
\ generous and favorable to them than your ancestors. Do not put such unlimited\
|
82 |
+
\ power into the hands of the Husbands. Remember all Men would be tyrants if they\
|
83 |
+
\ could. If particular care and attention is not paid to the Ladies we are determined\
|
84 |
+
\ to foment a Rebellion, and will not hold ourselves bound by any Laws in which\
|
85 |
+
\ we have no voice, or Representation.\"\nAbigail Adams, in a letter to John Adams,\
|
86 |
+
\ 1776\n\"Special legislation for woman has placed us in a most anomalous position.\
|
87 |
+
\ Women invested with the rights of citizens in one section—voters, jurors, office-holders—crossing\
|
88 |
+
\ an imaginary line, are subjects in the next. In some States, a married woman may\
|
89 |
+
\ hold property and transact business in her own name; in others, her earnings belong\
|
90 |
+
\ to her husband. In some States, a woman may testify against her husband, sue and\
|
91 |
+
\ be sued in the courts; in others, she has no redress in case of damage to person,\
|
92 |
+
\ property, or character. In case of divorce on account of adultery in the husband,\
|
93 |
+
\ the innocent wife is held to possess no right to children or property, unless\
|
94 |
+
\ by special decree of the court. But in no State of the Union has the wife the\
|
95 |
+
\ right to her own person, or to any part of the joint earnings of the co-partnership\
|
96 |
+
\ during the life of her husband. In some States women may enter the law schools\
|
97 |
+
\ and practice in the courts; in others they are forbidden. In some universities\
|
98 |
+
\ girls enjoy equal educational advantages with boys, while many of the proudest\
|
99 |
+
\ institutions in the land deny them admittance, though the sons of China, Japan\
|
100 |
+
\ and Africa are welcomed there. But the privileges already granted in the several\
|
101 |
+
\ States are by no means secure.\"\nSusan B. Anthony, \"Declaration of Rights for\
|
102 |
+
\ Women,\" July 4, 1876\nThe sentiments expressed in the second excerpt by Susan\
|
103 |
+
\ B. Anthony are most likely in support of\n(A) the Equal Rights Amendment (B) universal\
|
104 |
+
\ suffrage (C) states' rights (D) prohibition\nA: Let's think step by step. We refer\
|
105 |
+
\ to Wikipedia articles on us history for help. The above information mentioned\
|
106 |
+
\ that women are in an anomalous position in terms of legislation. Women's earnings\
|
107 |
+
\ do not belong to themselves, or they cannot testify against her husbands. Susan\
|
108 |
+
\ believes women should have equal legal rights as men. The answer is (B).\n\nQ:\
|
109 |
+
\ This question refers to the following information.\n\"Society in every state is\
|
110 |
+
\ a blessing, but government even in its best state is but a necessary evil; in\
|
111 |
+
\ its worst state an intolerable one; for when we suffer, or are exposed to the\
|
112 |
+
\ same miseries by a government, which we might expect in a country without government,\
|
113 |
+
\ our calamity is heightened by reflecting that we furnish the means by which we\
|
114 |
+
\ suffer. Government, like dress, is the badge of lost innocence; the palaces of\
|
115 |
+
\ kings are built on the ruins of the bowers of paradise. For were the impulses\
|
116 |
+
\ of conscience clear, uniform, and irresistibly obeyed, man would need no other\
|
117 |
+
\ lawgiver; but that not being the case, he finds it necessary to surrender up a\
|
118 |
+
\ part of his property to furnish means for the protection of the rest; and this\
|
119 |
+
\ he is induced to do by the same prudence which in every other case advises him\
|
120 |
+
\ out of two evils to choose the least. Wherefore, security being the true design\
|
121 |
+
\ and end of government, it unanswerably follows that whatever form thereof appears\
|
122 |
+
\ most likely to ensure it to us, with the least expense and greatest benefit, is\
|
123 |
+
\ preferable to all others.\"\nThomas Paine, Common Sense, 1776\nWhich of the following\
|
124 |
+
\ \"miseries\" alluded to above were most condemned by Anti-Federalists of the post-Revolutionary\
|
125 |
+
\ era?\n(A) Organized response to Bacon's Rebellion (B) Federal response to Shays's\
|
126 |
+
\ Rebellion (C) Federal response to the Whiskey Rebellion (D) Federal response to\
|
127 |
+
\ Pontiac's Rebellion\nA: Let's think step by step. We refer to Wikipedia articles\
|
128 |
+
\ on us history for help. Anti-Federalists do not believe centralized government\
|
129 |
+
\ power, and suspect Washington's military response to Whiskey Rebellion. Bacon's\
|
130 |
+
\ Rebellion and Pontiac's Rebellion happen before the Revolution and they can be\
|
131 |
+
\ ruled out. The answer is (C).\n\n"
|
132 |
+
"group": "mmlu_flan_cot_fewshot_humanities"
|
133 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
134 |
+
"task": "mmlu_flan_cot_fewshot_high_school_us_history"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_high_school_world_history.yaml
ADDED
@@ -0,0 +1,82 @@
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1 |
+
"dataset_name": "high_school_world_history"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about high\
|
3 |
+
\ school world history.\n\nQ: This question refers to the following information.\n\
|
4 |
+
\"At least one of the [world's] societies would have to somehow enormously increase\
|
5 |
+
\ its productivity [in order to achieve global hegemony]. That quantum jump would\
|
6 |
+
\ have to be made before the various scientific, technological, agricultural, and\
|
7 |
+
\ industrial revolutions on which our post-quantum-leap world rests. It could only\
|
8 |
+
\ be accomplished by exploiting the ecosystems, mineral resources, and human assets\
|
9 |
+
\ of whole continents outside the lands of the society making the jump. Western\
|
10 |
+
\ Europe did just that by means of its brutality and guns and, more important, by\
|
11 |
+
\ geographical and ecological luck.\"\nCopyright © 2015 Cambridge University Press.\n\
|
12 |
+
Alfred Crosby, historian, Ecological Imperialism, 2004\nThe \"quantum jump\" mentioned\
|
13 |
+
\ in the passage most directly contributed to which of the following developments\
|
14 |
+
\ in the period 1450–1750 C.E.?\n(A) A breakdown in trade routes through the collapse\
|
15 |
+
\ of the established state structure (B) An increase in the population of the world\
|
16 |
+
\ through more plentiful supplies of food (C) The spread of Chinese and Indian belief\
|
17 |
+
\ systems across the world (D) An increase in social unrest\nA: Let's think step\
|
18 |
+
\ by step. We refer to Wikipedia articles on world history for help. The \"quantum\
|
19 |
+
\ jump\" mentioned in the passage refers to the conquest of the New World and the\
|
20 |
+
\ Columbian Exchange. Choice (A) and (C) did not happen in history. Choice (C) refers\
|
21 |
+
\ to the human assets. The answer is (B).\n\nQ: This question refers to the following\
|
22 |
+
\ information.\n\"The struggle against neo-colonialism is not aimed at excluding\
|
23 |
+
\ the capital of the developed world from operating in less developed countries.\
|
24 |
+
\ It is aimed at preventing the financial power of the developed countries being\
|
25 |
+
\ used in such a way as to impoverish the less developed.\nNon-alignment, as practiced\
|
26 |
+
\ by Ghana and many other countries, is based on co-operation with all States whether\
|
27 |
+
\ they be capitalist, socialist or have a mixed economy. Such a policy, therefore,\
|
28 |
+
\ involves foreign investment from capitalist countries, but it must be invested\
|
29 |
+
\ in accordance with a national plan drawn up by the government of the non-aligned\
|
30 |
+
\ State with its own interests in mind. The issue is not what return the foreign\
|
31 |
+
\ investor receives on his investments…The question is one of power. A State in\
|
32 |
+
\ the grip of neo-colonialism is not master of its own destiny.\"\nKwame Nkrumah,\
|
33 |
+
\ Neo-Colonialism, 1965\nWhich of the following provides the best context for Nkrumah's\
|
34 |
+
\ writings?\n(A) The Industrial Revolution (B) Decolonization (C) Regional Free\
|
35 |
+
\ Trade Associations (D) Autarky\nA: Let's think step by step. We refer to Wikipedia\
|
36 |
+
\ articles on world history for help. The passage expresses a point that the successful\
|
37 |
+
\ fight against neo-colonialism were in danger and the newly independent nations\
|
38 |
+
\ like Ghana may be re-colonized via financial power of the developed countries.\
|
39 |
+
\ The answer is (B).\n\nQ: This question refers to the following information.\n\"\
|
40 |
+
Indeed, as both the fatwas of distinguished [scholars] who base their opinion on\
|
41 |
+
\ reason and tradition alike and the consensus of the Sunni community agree that\
|
42 |
+
\ the ancient obligation of extirpation, extermination, and expulsion of evil innovation\
|
43 |
+
\ must be the aim of our exalted aspiration, for \"Religious zeal is a victory for\
|
44 |
+
\ the Faith of God the Beneficent\"; then, in accordance with the words of the Prophet\
|
45 |
+
\ (Peace upon him!) \"Whosoever introduces evil innovation into our order must be\
|
46 |
+
\ expelled\" and \"Whosoever does aught against our order must be expelled,\" action\
|
47 |
+
\ has become necessary and exigent…\"\nLetter from Ottoman Sultan Selim I to Safavid\
|
48 |
+
\ Shah Ismail I, 1514\nThe letter from Selim I is most clearly an example of which\
|
49 |
+
\ of the following?\n(A) The maintenance of military supremacy at all costs (B)\
|
50 |
+
\ Expanding tensions between religious sects (C) Factors that brought about the\
|
51 |
+
\ collapse of the Ottoman Empire (D) Peacemaking efforts among the Islamic empires\n\
|
52 |
+
A: Let's think step by step. We refer to Wikipedia articles on world history for\
|
53 |
+
\ help. The passage is an example of expanding tensions between Selim and Ismail.\
|
54 |
+
\ In the passage the Selim references the fatwa and the consensus of the Sunni community\
|
55 |
+
\ to against whosoever introduces evil. The answer is (B).\n\nQ: This question refers\
|
56 |
+
\ to the following information.\n\"The real grievance of the worker is the insecurity\
|
57 |
+
\ of his existence; he is not sure that he will always have work, he is not sure\
|
58 |
+
\ that he will always be healthy, and he foresees that he will one day be old and\
|
59 |
+
\ unfit to work. If he falls into poverty, even if only through a prolonged illness,\
|
60 |
+
\ he is then completely helpless, exam_ins to his own devices, and society does\
|
61 |
+
\ not currently recognize any real obligation towards him beyond the usual help\
|
62 |
+
\ for the poor, even if he has been working all the time ever so faithfully and\
|
63 |
+
\ diligently. The usual help for the poor, however, leaves a lot to be desired,\
|
64 |
+
\ especially in large cities, where it is very much worse than in the country.\"\
|
65 |
+
\nOtto von Bismarck, 1884\nOtto von Bismarck likely made this speech in reaction\
|
66 |
+
\ to which of the following issues?\n(A) Social acceptance of child labor (B) Declining\
|
67 |
+
\ life expectancy in Germany (C) Criticisms of German trade tariffs (D) Negative\
|
68 |
+
\ effects attributed to industrial capitalism\nA: Let's think step by step. We refer\
|
69 |
+
\ to Wikipedia articles on world history for help. The passage talks about the grievance\
|
70 |
+
\ of the work under the industrial capitalism. The answer is (D).\n\nQ: This question\
|
71 |
+
\ refers to the following information.\nHe contains all works and desires and all\
|
72 |
+
\ perfumes and all tastes. He enfolds the whole universe and in silence is loving\
|
73 |
+
\ to all. This is the Spirit that is in my heart, this is Brahman. To him I shall\
|
74 |
+
\ come when I go beyond this life, and to him will come he who has faith and doubts\
|
75 |
+
\ not.\n—The Upanishads, India, c. 1000 BCE\nTo which religion does the speaker\
|
76 |
+
\ most likely belong?\n(A) Hinduism (B) Buddhism (C) Shintoism (D) Zoroastrianism\n\
|
77 |
+
A: Let's think step by step. We refer to Wikipedia articles on world history for\
|
78 |
+
\ help. Brahman refers to the ultimate reality of all things in the Hindu religion.\
|
79 |
+
\ In contrast, Buddhism does not have a concept of supreme God. The answer is (A).\n\n"
|
80 |
+
"group": "mmlu_flan_cot_fewshot_humanities"
|
81 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
82 |
+
"task": "mmlu_flan_cot_fewshot_high_school_world_history"
|
lm-evaluation-harness/lm_eval/tasks/mmlu/flan_cot_fewshot/mmlu_human_aging.yaml
ADDED
@@ -0,0 +1,28 @@
|
|
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|
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|
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|
|
|
|
|
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|
1 |
+
"dataset_name": "human_aging"
|
2 |
+
"description": "The following are multiple choice questions (with answers) about human\
|
3 |
+
\ aging.\n\nQ: All other things being equal, which of the following persons is more\
|
4 |
+
\ likely to show osteoporosis?\n(A) An older Hispanic American woman (B) An older\
|
5 |
+
\ African American woman (C) An older Asian American woman (D) An older Native American\
|
6 |
+
\ woman\nA: Let's think step by step. We refer to Wikipedia articles on human aging\
|
7 |
+
\ for help. Although osteoporosis can occur at any age, the risk is higher for older\
|
8 |
+
\ people. It is most common in Asian and non-Hispanic white women. The answer is\
|
9 |
+
\ (C).\n\nQ: The finding that adults tend to remember events from their adolescence\
|
10 |
+
\ better than from other periods in their lives is referred to as the\n(A) Adolescence\
|
11 |
+
\ advantage (B) Reminiscence bump (C) Memorial memorial (D) Quadratic retrieval\
|
12 |
+
\ spike\nA: Let's think step by step. We refer to Wikipedia articles on human aging\
|
13 |
+
\ for help. Reminiscence bump is a phenomenon that older adults tend to recollect\
|
14 |
+
\ events during their young ages. People usually have a period of childhood amnesia\
|
15 |
+
\ from birth to around age 5, and a reminiscence bump between 10 and 30. The answer\
|
16 |
+
\ is (B).\n\nQ: Which element in tobacco smoke is responsible for cancers?\n(A)\
|
17 |
+
\ Nicotine (B) Tar (C) Carbon monoxide (D) Smoke particles\nA: Let's think step\
|
18 |
+
\ by step. We refer to Wikipedia articles on human aging for help. The benzene,\
|
19 |
+
\ acrylamide and acrylonitrile in tar interact with the lungs and cause DNA mutations\
|
20 |
+
\ in cells of the lungs, and lead to cancer. The answer is (B).\n\nQ: When older\
|
21 |
+
\ adults move to a new state after retirement, which of the following is the more\
|
22 |
+
\ likely destination?\n(A) Texas (B) California (C) Hawaii (D) Vermont\nA: Let's\
|
23 |
+
\ think step by step. We refer to Wikipedia articles on human aging for help. Texas\
|
24 |
+
\ does not have state tax, and has low cost of living compared with the other three\
|
25 |
+
\ options. The answer is (A).\n\n"
|
26 |
+
"group": "mmlu_flan_cot_fewshot_other"
|
27 |
+
"include": "_mmlu_flan_cot_fewshot_template_yaml"
|
28 |
+
"task": "mmlu_flan_cot_fewshot_human_aging"
|