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null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who is the Director of the National Museum located at the air force base located east of Dayton, Ohio?", "role": "user" } ]
qa
{ "ground_truth": "John L. \"Jack\" Hudson", "style": "rule" }
{ "index": 7700, "need_tools_kwargs": true, "question": "Who is the Director of the National Museum located at the air force base located east of Dayton, Ohio?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What Labor member of the House of Representatives in the Australian Parliament was a member of the Australian Labor Party Australian Young Labor?", "role": "user" } ]
qa
{ "ground_truth": "Tony Burke", "style": "rule" }
{ "index": 7701, "need_tools_kwargs": true, "question": "What Labor member of the House of Representatives in the Australian Parliament was a member of the Australian Labor Party Australian Young Labor?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": " Boston Market Corporation is a chain of American fast casual restaurants headquartered in a municipality founded on 16 June 1859 during what?", "role": "user" } ]
qa
{ "ground_truth": "the Pike's Peak Gold Rush", "style": "rule" }
{ "index": 7702, "need_tools_kwargs": true, "question": " Boston Market Corporation is a chain of American fast casual restaurants headquartered in a municipality founded on 16 June 1859 during what?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the diagram, the line segments \\( PQ \\) and \\( PR \\) are perpendicular. The value of \\( s \\) is:\n(A) 6\n(B) 9\n(C) 10\n(D) 12\n(E) 9.5\n\n\\( \\text{[Image of diagram with line segments \\( PQ \\) and \\( PR \\) being perpendicular]} \\)", "role": "user" } ]
math
{ "ground_truth": "10", "style": "rule" }
{ "index": 7703, "need_tools_kwargs": true, "question": "In the diagram, the line segments \\( PQ \\) and \\( PR \\) are perpendicular. The value of \\( s \\) is:\n(A) 6\n(B) 9\n(C) 10\n(D) 12\n(E) 9.5\n\n\\( \\text{[Image of diagram with line segments \\( PQ \\) and \\( PR \\) being perpendicular]} \\)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "已知 0<x,y<\\df{\\pi}{2},则 f=\\df{9}{\\sin^2x}+\\df{1}{\\cos x\\cos^2y\\sin^2y} 的最小值是__________.", "role": "user" } ]
math
{ "ground_truth": "20", "style": "rule" }
{ "index": 7704, "need_tools_kwargs": true, "question": "已知 0<x,y<\\df{\\pi}{2},则 f=\\df{9}{\\sin^2x}+\\df{1}{\\cos x\\cos^2y\\sin^2y} 的最小值是__________.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the director of film The Wildcats Of St Trinian'S born?", "role": "user" } ]
qa
{ "ground_truth": "Hitchin", "style": "rule" }
{ "index": 7705, "need_tools_kwargs": true, "question": "Where was the director of film The Wildcats Of St Trinian'S born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In what country did a popular actress play a role in a film about coming of age?", "role": "user" } ]
qa
{ "ground_truth": "South Indian cinema", "style": "rule" }
{ "index": 7706, "need_tools_kwargs": true, "question": "In what country did a popular actress play a role in a film about coming of age?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": " Conquest is a 1937 Metro-Goldwyn-Mayer film staring a British character actor for his many roles in British and American films and later in what?", "role": "user" } ]
qa
{ "ground_truth": "television programmes", "style": "rule" }
{ "index": 7707, "need_tools_kwargs": true, "question": " Conquest is a 1937 Metro-Goldwyn-Mayer film staring a British character actor for his many roles in British and American films and later in what?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let $a, b$, and $c$ be real numbers. Consider the system of simultaneous equations in variables $x$ and $y:$ $a x+b y =c-1$ and $(a+5) x+(b+3) y =c+1$. Determine the value(s) of $c$ in terms of $a$ such that the system always has a solution for any $a$ and $b$.", "role": "user" } ]
math
{ "ground_truth": "2a/5 + 1 \\text{ or } \\frac{2a+5}{5}", "style": "rule" }
{ "index": 7708, "need_tools_kwargs": true, "question": "Let $a, b$, and $c$ be real numbers. Consider the system of simultaneous equations in variables $x$ and $y:$ $a x+b y =c-1$ and $(a+5) x+(b+3) y =c+1$. Determine the value(s) of $c$ in terms of $a$ such that the system always has a solution for any $a$ and $b$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the place of burial of Joan Of Acre's father?", "role": "user" } ]
qa
{ "ground_truth": "Westminster Abbey", "style": "rule" }
{ "index": 7709, "need_tools_kwargs": true, "question": "Where was the place of burial of Joan Of Acre's father?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the area of a square inscribed in a semicircle of radius 1, with one of its sides flush with the diameter of the semicircle?", "role": "user" } ]
math
{ "ground_truth": "0.8", "style": "rule" }
{ "index": 7710, "need_tools_kwargs": true, "question": "What is the area of a square inscribed in a semicircle of radius 1, with one of its sides flush with the diameter of the semicircle?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given a set of positive integers with the sum of any seven of them less than 15 and the sum of all the numbers in the set equal to 100, determine the least possible number of elements in this set.", "role": "user" } ]
math
{ "ground_truth": "50", "style": "rule" }
{ "index": 7711, "need_tools_kwargs": true, "question": "Given a set of positive integers with the sum of any seven of them less than 15 and the sum of all the numbers in the set equal to 100, determine the least possible number of elements in this set.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Formulate the equation of a plane that is parallel to the $Oz$ axis and passes through the points $(1, 0, 1)$ and $(-2, 1, 3)$.", "role": "user" } ]
math
{ "ground_truth": "0", "style": "rule" }
{ "index": 7712, "need_tools_kwargs": true, "question": "Formulate the equation of a plane that is parallel to the $Oz$ axis and passes through the points $(1, 0, 1)$ and $(-2, 1, 3)$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What neighboring suburb of O'Halloran Hill has a population of more than 12,000 people?", "role": "user" } ]
qa
{ "ground_truth": "Hallett Cove", "style": "rule" }
{ "index": 7713, "need_tools_kwargs": true, "question": "What neighboring suburb of O'Halloran Hill has a population of more than 12,000 people?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The population of Imaginaria City at one time was a perfect square. After an increase of 225, the population became one more than a perfect square. Following an additional increase of 75, the population was again a perfect square. Determine whether the original population is a multiple of 5, 7, 15, 13, or 3.", "role": "user" } ]
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 7714, "need_tools_kwargs": true, "question": "The population of Imaginaria City at one time was a perfect square. After an increase of 225, the population became one more than a perfect square. Following an additional increase of 75, the population was again a perfect square. Determine whether the original population is a multiple of 5, 7, 15, 13, or 3.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film Broken Vessels?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 7715, "need_tools_kwargs": true, "question": "What nationality is the director of film Broken Vessels?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "There exist constants $b_1, b_2, b_3, b_4, b_5, b_6, b_7$ such that\n\\[\n\\cos^7 \\theta = b_1 \\cos \\theta + b_2 \\cos 2 \\theta + b_3 \\cos 3 \\theta + b_4 \\cos 4 \\theta + b_5 \\cos 5 \\theta + b_6 \\cos 6 \\theta + b_7 \\cos 7 \\theta\n\\]\nfor all angles $\\theta$. Find $b_1^2 + b_2^2 + b_3^2 + b_4^2 + b_5^2 + b_6^2 + b_7^2$.", "role": "user" } ]
math
{ "ground_truth": "\\frac{429}{1024}", "style": "rule" }
{ "index": 7716, "need_tools_kwargs": true, "question": "There exist constants $b_1, b_2, b_3, b_4, b_5, b_6, b_7$ such that\n\\[\n\\cos^7 \\theta = b_1 \\cos \\theta + b_2 \\cos 2 \\theta + b_3 \\cos 3 \\theta + b_4 \\cos 4 \\theta + b_5 \\cos 5 \\theta + b_6 \\cos 6 \\theta + b_7 \\cos 7 \\theta\n\\]\nfor all angles $\\theta$. Find $b_1^2 + b_2^2 + b_3^2 + b_4^2 + b_5^2 + b_6^2 + b_7^2$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Did the bands Revamp and The Church (Band), originate from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7717, "need_tools_kwargs": true, "question": "Did the bands Revamp and The Church (Band), originate from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "If \\(\\sin \\left(c^{2}-3 c+17\\right)^{\\circ}=\\frac{4}{b-2}\\), where \\(0 < c^{2}-3 c +17 < 90\\) and \\(c > 0\\), find the value of \\(c\\).", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 7718, "need_tools_kwargs": true, "question": "If \\(\\sin \\left(c^{2}-3 c+17\\right)^{\\circ}=\\frac{4}{b-2}\\), where \\(0 < c^{2}-3 c +17 < 90\\) and \\(c > 0\\), find the value of \\(c\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "All divisors of a natural number \\( n \\) are listed in ascending order from 1 to \\( n \\). It turns out that the second-to-last number in the list is 101 times greater than the second number. What is the largest possible \\( n \\)?", "role": "user" } ]
math
{ "ground_truth": "101^3", "style": "rule" }
{ "index": 7719, "need_tools_kwargs": true, "question": "All divisors of a natural number \\( n \\) are listed in ascending order from 1 to \\( n \\). It turns out that the second-to-last number in the list is 101 times greater than the second number. What is the largest possible \\( n \\)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Diagonal Norte is located near what Plaza?", "role": "user" } ]
qa
{ "ground_truth": "Plaza de la República", "style": "rule" }
{ "index": 7720, "need_tools_kwargs": true, "question": "Diagonal Norte is located near what Plaza?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Alice's car averages 30 miles per gallon of gasoline, and Bob's car averages 20 miles per gallon of gasoline. If Alice drives 120 miles and Bob drives 180 miles, calculate the combined rate of miles per gallon of gasoline for both cars.", "role": "user" } ]
math
{ "ground_truth": "\\frac{300}{13}", "style": "rule" }
{ "index": 7721, "need_tools_kwargs": true, "question": "Alice's car averages 30 miles per gallon of gasoline, and Bob's car averages 20 miles per gallon of gasoline. If Alice drives 120 miles and Bob drives 180 miles, calculate the combined rate of miles per gallon of gasoline for both cars.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are director of film The Desert'S Toll and director of film Jeeva (1986 Film) from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7722, "need_tools_kwargs": true, "question": "Are director of film The Desert'S Toll and director of film Jeeva (1986 Film) from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let \\(Q(z)\\) and \\(R(z)\\) be the unique polynomials such that:\n\\[\nz^{2021}+1=(z^2+z+1)Q(z)+R(z)\n\\]\nand the degree of \\(R\\) is less than \\(2\\). The original answer is in the form \\(-a \\cdot z + b\\). Please find the value of \\(a + b\\).", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 7723, "need_tools_kwargs": true, "question": "Let \\(Q(z)\\) and \\(R(z)\\) be the unique polynomials such that:\n\\[\nz^{2021}+1=(z^2+z+1)Q(z)+R(z)\n\\]\nand the degree of \\(R\\) is less than \\(2\\). The original answer is in the form \\(-a \\cdot z + b\\). Please find the value of \\(a + b\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What was the first and last name of the president of the Society of Illustrators from 1929 to 1936?", "role": "user" } ]
qa
{ "ground_truth": "Wallace Morgan", "style": "rule" }
{ "index": 7724, "need_tools_kwargs": true, "question": "What was the first and last name of the president of the Society of Illustrators from 1929 to 1936?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Ten distinct pieces of candy are to be distributed among three bags: Bag A, Bag B, and Bag C. Any two of these bags must each receive at least one piece of candy, but the third bag may remain empty. How many different distributions are possible?\n$\\textbf{(A)}\\ 126 \\qquad \\textbf{(B)}\\ 127 \\qquad \\textbf{(C)}\\ 128 \\qquad \\textbf{(D)}\\ 129 \\qquad \\textbf{(E)}\\ 130$", "role": "user" } ]
math
{ "ground_truth": "128", "style": "rule" }
{ "index": 7725, "need_tools_kwargs": true, "question": "Ten distinct pieces of candy are to be distributed among three bags: Bag A, Bag B, and Bag C. Any two of these bags must each receive at least one piece of candy, but the third bag may remain empty. How many different distributions are possible?\n$\\textbf{(A)}\\ 126 \\qquad \\textbf{(B)}\\ 127 \\qquad \\textbf{(C)}\\ 128 \\qquad \\textbf{(D)}\\ 129 \\qquad \\textbf{(E)}\\ 130$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Consider a sequence of $101$ terms where each term is represented as $Q + m$ where $Q$ is the product of all prime numbers less than 50 ($2 \\times 3 \\times 5 \\times \\ldots \\times 47$), and $m$ takes successively the values $3, 4, 5, \\ldots, 103$. Determine how many primes appear in this sequence.", "role": "user" } ]
math
{ "ground_truth": "12", "style": "rule" }
{ "index": 7726, "need_tools_kwargs": true, "question": "Consider a sequence of $101$ terms where each term is represented as $Q + m$ where $Q$ is the product of all prime numbers less than 50 ($2 \\times 3 \\times 5 \\times \\ldots \\times 47$), and $m$ takes successively the values $3, 4, 5, \\ldots, 103$. Determine how many primes appear in this sequence.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the morning, the temperature was $-3^{\\circ} \\mathrm{C}$. In the afternoon, the temperature was $5^{\\circ} \\mathrm{C}$. By how many degrees Celsius did the temperature increase?\n(A) 8\n(B) 3\n(C) 5\n(D) 2\n(E) 7", "role": "user" } ]
math
{ "ground_truth": "8", "style": "rule" }
{ "index": 7727, "need_tools_kwargs": true, "question": "In the morning, the temperature was $-3^{\\circ} \\mathrm{C}$. In the afternoon, the temperature was $5^{\\circ} \\mathrm{C}$. By how many degrees Celsius did the temperature increase?\n(A) 8\n(B) 3\n(C) 5\n(D) 2\n(E) 7", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What was the nickname of the Jazz player who retired following the 1990–91 Utah Jazz season ?", "role": "user" } ]
qa
{ "ground_truth": "Dr. Dunkenstein", "style": "rule" }
{ "index": 7728, "need_tools_kwargs": true, "question": "What was the nickname of the Jazz player who retired following the 1990–91 Utah Jazz season ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When is Princess Tsehai's mother's birthday?", "role": "user" } ]
qa
{ "ground_truth": "3 April 1891", "style": "rule" }
{ "index": 7729, "need_tools_kwargs": true, "question": "When is Princess Tsehai's mother's birthday?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The fingerstyle genre of guitar music that originated in Hawaii guitar tuning, is traditional of where?", "role": "user" } ]
qa
{ "ground_truth": "Samoa", "style": "rule" }
{ "index": 7730, "need_tools_kwargs": true, "question": "The fingerstyle genre of guitar music that originated in Hawaii guitar tuning, is traditional of where?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is one of the amino acids used in the biosynthesis of proteins, that is in a synthetic peptide consisting of eight amino acids?", "role": "user" } ]
qa
{ "ground_truth": "Histidine", "style": "rule" }
{ "index": 7731, "need_tools_kwargs": true, "question": "What is one of the amino acids used in the biosynthesis of proteins, that is in a synthetic peptide consisting of eight amino acids?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Congruent circles $\\Gamma_1$ and $\\Gamma_2$ have radius $2012$, and the center of $\\Gamma_1$ lies on $\\Gamma_2$. Suppose that $\\Gamma_1$ and $\\Gamma_2$ intersect at $A$ and $B$. The line through $A$ perpendicular to $AB$ meets $\\Gamma_1$ and $\\Gamma_2$ again at $C$ and $D$, respectively. Find the length of $CD$.", "role": "user" } ]
math
{ "ground_truth": "4024", "style": "rule" }
{ "index": 7732, "need_tools_kwargs": true, "question": "Congruent circles $\\Gamma_1$ and $\\Gamma_2$ have radius $2012$, and the center of $\\Gamma_1$ lies on $\\Gamma_2$. Suppose that $\\Gamma_1$ and $\\Gamma_2$ intersect at $A$ and $B$. The line through $A$ perpendicular to $AB$ meets $\\Gamma_1$ and $\\Gamma_2$ again at $C$ and $D$, respectively. Find the length of $CD$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Robert \"Bob\" Scucci was formerly the Assistant Race and Sports Book Manager at a casino located on how many acres?", "role": "user" } ]
qa
{ "ground_truth": "63", "style": "rule" }
{ "index": 7733, "need_tools_kwargs": true, "question": "Robert \"Bob\" Scucci was formerly the Assistant Race and Sports Book Manager at a casino located on how many acres?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": " Seiichi Morimura revealed the atrocities committed by a unit based in which district ?", "role": "user" } ]
qa
{ "ground_truth": "the Pingfang district of Harbin", "style": "rule" }
{ "index": 7734, "need_tools_kwargs": true, "question": " Seiichi Morimura revealed the atrocities committed by a unit based in which district ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who worked on TV more in 2017, Kurt Cobain or Gavin Rossdale?", "role": "user" } ]
qa
{ "ground_truth": "Gavin McGregor Rossdale", "style": "rule" }
{ "index": 7735, "need_tools_kwargs": true, "question": "Who worked on TV more in 2017, Kurt Cobain or Gavin Rossdale?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Do both films, The Dhamma Brothers and Taxi No. 9211, have the directors who are from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7736, "need_tools_kwargs": true, "question": "Do both films, The Dhamma Brothers and Taxi No. 9211, have the directors who are from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the quadratic function \\( f(x) \\) such that \\( f(-1) = 0 \\) and \\( x \\leq f(x) \\leq \\frac{1}{2}\\left(x^2 + 1\\right) \\) holds for all real numbers \\( x \\). Determine the explicit form of the function \\( f(x) \\).", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{4}(x+1)^2", "style": "rule" }
{ "index": 7737, "need_tools_kwargs": true, "question": "Given the quadratic function \\( f(x) \\) such that \\( f(-1) = 0 \\) and \\( x \\leq f(x) \\leq \\frac{1}{2}\\left(x^2 + 1\\right) \\) holds for all real numbers \\( x \\). Determine the explicit form of the function \\( f(x) \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The following addition is incorrect. By changing one digit \\( d \\) to another digit \\( e \\) in all occurrences, the sum can be corrected. Calculate the total sum of \\( d \\) and \\( e \\) given the incorrect addition:\n\n\\[\n\\begin{array}{ccccccc}\n& 9 & 4 & 3 & 5 & 8 & 7 \\\\\n+ & 3 & 2 & 9 & 4 & 3 & 0 \\\\\n\\hline\n1 & 4 & 1 & 2 & 0 & 1 & 7 \n\\end{array}\n\\]", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 7738, "need_tools_kwargs": true, "question": "The following addition is incorrect. By changing one digit \\( d \\) to another digit \\( e \\) in all occurrences, the sum can be corrected. Calculate the total sum of \\( d \\) and \\( e \\) given the incorrect addition:\n\n\\[\n\\begin{array}{ccccccc}\n& 9 & 4 & 3 & 5 & 8 & 7 \\\\\n+ & 3 & 2 & 9 & 4 & 3 & 0 \\\\\n\\hline\n1 & 4 & 1 & 2 & 0 & 1 & 7 \n\\end{array}\n\\]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who was Patricia Bullrich's first husband?", "role": "user" } ]
qa
{ "ground_truth": "Marcelo Langieri", "style": "rule" }
{ "index": 7739, "need_tools_kwargs": true, "question": "Who was Patricia Bullrich's first husband?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who created the television series in which Madison Wolfe made her television debut ?", "role": "user" } ]
qa
{ "ground_truth": "Nic Pizzolatto", "style": "rule" }
{ "index": 7740, "need_tools_kwargs": true, "question": "Who created the television series in which Madison Wolfe made her television debut ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are both villages, Kalateh-Ye Hajji Barat and Gura Jub-E Morad Beyg, located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 7741, "need_tools_kwargs": true, "question": "Are both villages, Kalateh-Ye Hajji Barat and Gura Jub-E Morad Beyg, located in the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is Martin Brambach's wife?", "role": "user" } ]
qa
{ "ground_truth": "Austrian", "style": "rule" }
{ "index": 7742, "need_tools_kwargs": true, "question": "What nationality is Martin Brambach's wife?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the following propositions:\n$(①)$ The graph of the function $y=\\tan x$ is symmetric about the point $(\\frac{kπ}{2},0), (k∈Z)$;\n$(②)$ The function $f(x)=\\sin |x|$ is a periodic function with the smallest positive period of $π$;\n$(③)$ The minimum value of the function $y=\\cos ^{2}x+\\sin x$ is $-1$;\n$(④)$ Let $θ$ be an angle in the second quadrant, then $\\tan \\frac {θ}{2} > \\cos \\frac {θ}{2}$, and $\\sin \\frac {θ}{2} > \\cos \\frac {θ}{2}$.\nThe correct proposition number(s) is/are $\\_\\_\\_\\_\\_\\_$.", "role": "user" } ]
math
{ "ground_truth": "①③", "style": "rule" }
{ "index": 7743, "need_tools_kwargs": true, "question": "Given the following propositions:\n$(①)$ The graph of the function $y=\\tan x$ is symmetric about the point $(\\frac{kπ}{2},0), (k∈Z)$;\n$(②)$ The function $f(x)=\\sin |x|$ is a periodic function with the smallest positive period of $π$;\n$(③)$ The minimum value of the function $y=\\cos ^{2}x+\\sin x$ is $-1$;\n$(④)$ Let $θ$ be an angle in the second quadrant, then $\\tan \\frac {θ}{2} > \\cos \\frac {θ}{2}$, and $\\sin \\frac {θ}{2} > \\cos \\frac {θ}{2}$.\nThe correct proposition number(s) is/are $\\_\\_\\_\\_\\_\\_$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "How many nonrectangular trapezoids can be formed from the vertices of a regular octagon?", "role": "user" } ]
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 7744, "need_tools_kwargs": true, "question": "How many nonrectangular trapezoids can be formed from the vertices of a regular octagon?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Captain Dale Adam Dye Jr., USMC (Ret.) owns Warriors, Inc. and what other company?", "role": "user" } ]
qa
{ "ground_truth": "Warrior Publishing Group", "style": "rule" }
{ "index": 7745, "need_tools_kwargs": true, "question": "Captain Dale Adam Dye Jr., USMC (Ret.) owns Warriors, Inc. and what other company?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In regards to the private co-educational university in Downtown Tampa, Florida, how many losses did their football team have in 1973?", "role": "user" } ]
qa
{ "ground_truth": "three losses", "style": "rule" }
{ "index": 7746, "need_tools_kwargs": true, "question": "In regards to the private co-educational university in Downtown Tampa, Florida, how many losses did their football team have in 1973?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The value of \\(\\frac{1^{2}+2^{2}+3^{2}+4^{2}}{1 \\times 2 \\times 3}\\) is:\n(A) 110\n(B) 22\n(C) \\(\\frac{50}{3}\\)\n(D) 5\n(E) 14", "role": "user" } ]
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 7747, "need_tools_kwargs": true, "question": "The value of \\(\\frac{1^{2}+2^{2}+3^{2}+4^{2}}{1 \\times 2 \\times 3}\\) is:\n(A) 110\n(B) 22\n(C) \\(\\frac{50}{3}\\)\n(D) 5\n(E) 14", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Determine the smallest integer $n \\geqslant 2$ with the following property: for any integers $a_1, a_2, \\cdots, a_n$ whose sum is not divisible by $n$, there exists an index $1 \\leqslant i \\leqslant n$ such that none of the numbers $$a_i, a_i + a_{i+1}, \\cdots, a_i + a_{i+1} + \\cdots + a_{i+n-1}$$ is divisible by $n.$ (We let $a_i = a_{i-n}$ when $i > n.)$ Find the value of the smallest such $n$.", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 7748, "need_tools_kwargs": true, "question": "Determine the smallest integer $n \\geqslant 2$ with the following property: for any integers $a_1, a_2, \\cdots, a_n$ whose sum is not divisible by $n$, there exists an index $1 \\leqslant i \\leqslant n$ such that none of the numbers $$a_i, a_i + a_{i+1}, \\cdots, a_i + a_{i+1} + \\cdots + a_{i+n-1}$$ is divisible by $n.$ (We let $a_i = a_{i-n}$ when $i > n.)$ Find the value of the smallest such $n$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the diagram, $AOB$ is a sector of a circle with $\\angle AOB=60^\\circ.$ $OY$ is drawn perpendicular to $AB$ and intersects $AB$ at $X.$ What is the length of $XY\n?$ [asy]\ndraw((0,0)--(12,0),black+linewidth(1));\ndraw((0,0)--(10.3923,-6)..(12,0)..(10.3923,6)--(0,0),black+linewidth(1));\ndraw((10.3923,-6)--(10.3923,6),black+linewidth(1));\nlabel(\"$O$\",(0,0),W);\nlabel(\"$A$\",(10.3923,6),N);\nlabel(\"$B$\",(10.3923,-6),S);\nlabel(\"$X$\",(10.3923,0),NW);\nlabel(\"$Y$\",(12,0),E);\nlabel(\"12\",(0,0)--(10.3923,6),NW);\nlabel(\"12\",(0,0)--(10.3923,-6),SW);\n[/asy]", "role": "user" } ]
math
{ "ground_truth": "12 - 6\\sqrt{3}", "style": "rule" }
{ "index": 7749, "need_tools_kwargs": true, "question": "In the diagram, $AOB$ is a sector of a circle with $\\angle AOB=60^\\circ.$ $OY$ is drawn perpendicular to $AB$ and intersects $AB$ at $X.$ What is the length of $XY\n?$ [asy]\ndraw((0,0)--(12,0),black+linewidth(1));\ndraw((0,0)--(10.3923,-6)..(12,0)..(10.3923,6)--(0,0),black+linewidth(1));\ndraw((10.3923,-6)--(10.3923,6),black+linewidth(1));\nlabel(\"$O$\",(0,0),W);\nlabel(\"$A$\",(10.3923,6),N);\nlabel(\"$B$\",(10.3923,-6),S);\nlabel(\"$X$\",(10.3923,0),NW);\nlabel(\"$Y$\",(12,0),E);\nlabel(\"12\",(0,0)--(10.3923,6),NW);\nlabel(\"12\",(0,0)--(10.3923,-6),SW);\n[/asy]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Shrink the x-coordinates of each point on the graph of the function \\( y = \\lg (x-1) \\) to 50% of their original values, and then translate the graph half a unit to the right. Find the expression for the resulting graph.", "role": "user" } ]
math
{ "ground_truth": "y = \\log_{10}(2x - 2)", "style": "rule" }
{ "index": 7750, "need_tools_kwargs": true, "question": "Shrink the x-coordinates of each point on the graph of the function \\( y = \\lg (x-1) \\) to 50% of their original values, and then translate the graph half a unit to the right. Find the expression for the resulting graph.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Consider $n$ children in a playground, where $n\\ge 2$ . Every child has a coloured hat, and every pair of children is joined by a coloured ribbon. For every child, the colour of each ribbon held is different, and also different from the colour of that child’s hat. What is the minimum number of colours that needs to be used?", "role": "user" } ]
math
{ "ground_truth": " n ", "style": "rule" }
{ "index": 7751, "need_tools_kwargs": true, "question": "Consider $n$ children in a playground, where $n\\ge 2$ . Every child has a coloured hat, and every pair of children is joined by a coloured ribbon. For every child, the colour of each ribbon held is different, and also different from the colour of that child’s hat. What is the minimum number of colours that needs to be used?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given that the approximate ratio of the three cases drawn, DD, Dd, dd, is 1:2:1, calculate the probability of drawing dd when two students who have drawn cards are selected, and one card is drawn from each of these two students.", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{4}", "style": "rule" }
{ "index": 7752, "need_tools_kwargs": true, "question": "Given that the approximate ratio of the three cases drawn, DD, Dd, dd, is 1:2:1, calculate the probability of drawing dd when two students who have drawn cards are selected, and one card is drawn from each of these two students.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Do the movies Death Of An Angel and Les Amants Du Pont-Neuf, originate from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7753, "need_tools_kwargs": true, "question": "Do the movies Death Of An Angel and Les Amants Du Pont-Neuf, originate from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Gretchen has eight socks, two of each color: magenta, cyan, black, and white. She randomly draws four socks. What is the probability that she has exactly one pair of socks with the same color?", "role": "user" } ]
math
{ "ground_truth": "0.6857", "style": "rule" }
{ "index": 7754, "need_tools_kwargs": true, "question": "Gretchen has eight socks, two of each color: magenta, cyan, black, and white. She randomly draws four socks. What is the probability that she has exactly one pair of socks with the same color?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let $x$ be a real number such that $\\sin^{10}x+\\cos^{10} x = \\tfrac{11}{36}$ . Then $\\sin^{12}x+\\cos^{12} x = \\tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .", "role": "user" } ]
math
{ "ground_truth": "67", "style": "rule" }
{ "index": 7755, "need_tools_kwargs": true, "question": "Let $x$ be a real number such that $\\sin^{10}x+\\cos^{10} x = \\tfrac{11}{36}$ . Then $\\sin^{12}x+\\cos^{12} x = \\tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "If a standard die is rolled twice and the outcomes are $m$ and $n$, what is the probability of forming a right-angled triangle with vertices at points $(0,0)$, $(1,-1)$, and $(m, n)$?", "role": "user" } ]
math
{ "ground_truth": "0.278", "style": "rule" }
{ "index": 7756, "need_tools_kwargs": true, "question": "If a standard die is rolled twice and the outcomes are $m$ and $n$, what is the probability of forming a right-angled triangle with vertices at points $(0,0)$, $(1,-1)$, and $(m, n)$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When did the director of film The Invisible Man'S Revenge die?", "role": "user" } ]
qa
{ "ground_truth": "November 26, 1978", "style": "rule" }
{ "index": 7757, "need_tools_kwargs": true, "question": "When did the director of film The Invisible Man'S Revenge die?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Calculate the limit of the function:\n\n$$\\lim_{x \\rightarrow 0} \\frac{7^{3x} - 3^{2x}}{\\tan{x} + x^3}$$", "role": "user" } ]
math
{ "ground_truth": "-2 \\log(3) + 3 \\log(7)", "style": "rule" }
{ "index": 7758, "need_tools_kwargs": true, "question": "Calculate the limit of the function:\n\n$$\\lim_{x \\rightarrow 0} \\frac{7^{3x} - 3^{2x}}{\\tan{x} + x^3}$$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are the directors of both films Modesty Blaise (1966 Film) and Two On A Vacation from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7759, "need_tools_kwargs": true, "question": "Are the directors of both films Modesty Blaise (1966 Film) and Two On A Vacation from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the parallelogram \\(ABCD\\), point \\(K\\) is the midpoint of side \\(BC\\), and point \\(M\\) is the midpoint of side \\(CD\\). Given that \\(AK = 6\\) cm, \\(AM = 3\\) cm, and \\(\\angle KAM = 60^\\circ\\), calculate the length of side \\(AD\\).", "role": "user" } ]
math
{ "ground_truth": "3\\sqrt{3}", "style": "rule" }
{ "index": 7760, "need_tools_kwargs": true, "question": "In the parallelogram \\(ABCD\\), point \\(K\\) is the midpoint of side \\(BC\\), and point \\(M\\) is the midpoint of side \\(CD\\). Given that \\(AK = 6\\) cm, \\(AM = 3\\) cm, and \\(\\angle KAM = 60^\\circ\\), calculate the length of side \\(AD\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where does the director of film Seven Nannies work at?", "role": "user" } ]
qa
{ "ground_truth": "High Courses for Scriptwriters and Film Directors", "style": "rule" }
{ "index": 7761, "need_tools_kwargs": true, "question": "Where does the director of film Seven Nannies work at?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are The Fate Of The Furious and The Sport Parade from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 7762, "need_tools_kwargs": true, "question": "Are The Fate Of The Furious and The Sport Parade from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What type of judgement does Boston and Sacco and Vanzetti have in common?", "role": "user" } ]
qa
{ "ground_truth": "execution", "style": "rule" }
{ "index": 7763, "need_tools_kwargs": true, "question": "What type of judgement does Boston and Sacco and Vanzetti have in common?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are Lollipop Lust Kill and Zolar X both from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 7764, "need_tools_kwargs": true, "question": "Are Lollipop Lust Kill and Zolar X both from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What number results when 50 is increased by $120\\%$?", "role": "user" } ]
math
{ "ground_truth": "110.0", "style": "rule" }
{ "index": 7765, "need_tools_kwargs": true, "question": "What number results when 50 is increased by $120\\%$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let \\( f:(0,1) \\rightarrow (0,1) \\) be a differentiable function with a continuous derivative such that for every positive integer \\( n \\) and odd positive integer \\( a < 2^n \\), there exists an odd positive integer \\( b < 2^n \\) such that \\( f\\left( \\frac{a}{2^n} \\right) = \\frac{b}{2^n} \\). Determine the set of possible values of \\( f^{\\prime} \\left( \\frac{1}{2} \\right) \\).", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 7766, "need_tools_kwargs": true, "question": "Let \\( f:(0,1) \\rightarrow (0,1) \\) be a differentiable function with a continuous derivative such that for every positive integer \\( n \\) and odd positive integer \\( a < 2^n \\), there exists an odd positive integer \\( b < 2^n \\) such that \\( f\\left( \\frac{a}{2^n} \\right) = \\frac{b}{2^n} \\). Determine the set of possible values of \\( f^{\\prime} \\left( \\frac{1}{2} \\right) \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which country the director of film Never Say Die (1939 Film) is from?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 7767, "need_tools_kwargs": true, "question": "Which country the director of film Never Say Die (1939 Film) is from?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In what year was the Louisiana Governor who appointed Henry \"Tank\" Powell to the Louisiana Board of Pardons born?", "role": "user" } ]
qa
{ "ground_truth": "1971", "style": "rule" }
{ "index": 7768, "need_tools_kwargs": true, "question": "In what year was the Louisiana Governor who appointed Henry \"Tank\" Powell to the Louisiana Board of Pardons born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which horror film was previously directed by the same director as a 1978 film starring Marlon Brando and Gene Hackman?", "role": "user" } ]
qa
{ "ground_truth": "\"The Omen\"", "style": "rule" }
{ "index": 7769, "need_tools_kwargs": true, "question": "Which horror film was previously directed by the same director as a 1978 film starring Marlon Brando and Gene Hackman?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the place of birth of the director of film Holiday'S End?", "role": "user" } ]
qa
{ "ground_truth": "London", "style": "rule" }
{ "index": 7770, "need_tools_kwargs": true, "question": "What is the place of birth of the director of film Holiday'S End?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A line passing through the focus \\( F \\) of a parabola intersects the parabola at points \\( A \\) and \\( B \\). If the projections of \\( A \\) and \\( B \\) onto the directrix of the parabola are \\( A_1 \\) and \\( B_1 \\) respectively, what is the measure of \\( \\angle A_1 F B_1 \\)?", "role": "user" } ]
math
{ "ground_truth": "90^\\circ", "style": "rule" }
{ "index": 7771, "need_tools_kwargs": true, "question": "A line passing through the focus \\( F \\) of a parabola intersects the parabola at points \\( A \\) and \\( B \\). If the projections of \\( A \\) and \\( B \\) onto the directrix of the parabola are \\( A_1 \\) and \\( B_1 \\) respectively, what is the measure of \\( \\angle A_1 F B_1 \\)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who sponsors the league in which Roberto Orlando Affonso Júnior plays ?", "role": "user" } ]
qa
{ "ground_truth": "BOC Life", "style": "rule" }
{ "index": 7772, "need_tools_kwargs": true, "question": "Who sponsors the league in which Roberto Orlando Affonso Júnior plays ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "How much money, in euros, was the surgeon held responsible for Stella Obasanjo's death ordered to pay her son?", "role": "user" } ]
qa
{ "ground_truth": "120,000", "style": "rule" }
{ "index": 7773, "need_tools_kwargs": true, "question": "How much money, in euros, was the surgeon held responsible for Stella Obasanjo's death ordered to pay her son?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What movie was directed by an Italian director, former senator and distant relative of Leonardo da Vinci?", "role": "user" } ]
qa
{ "ground_truth": "La Bisbetica domata", "style": "rule" }
{ "index": 7774, "need_tools_kwargs": true, "question": "What movie was directed by an Italian director, former senator and distant relative of Leonardo da Vinci?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the function $f(x) = \\ln x$, and $F(x) = x + \\frac{1}{x} + af'(x)$:\n\n(I) When $a=1$, find the extreme value of $M(x) = F(x) - f(x)$.\n\n(II) When $a=0$, for any $x > 0$, the inequality $\\frac{1}{F(x)} \\leq \\frac{1}{2 + m[f(x)]^2}$ always holds; find the range of real numbers $m$.", "role": "user" } ]
math
{ "ground_truth": "[0,1]", "style": "rule" }
{ "index": 7775, "need_tools_kwargs": true, "question": "Given the function $f(x) = \\ln x$, and $F(x) = x + \\frac{1}{x} + af'(x)$:\n\n(I) When $a=1$, find the extreme value of $M(x) = F(x) - f(x)$.\n\n(II) When $a=0$, for any $x > 0$, the inequality $\\frac{1}{F(x)} \\leq \\frac{1}{2 + m[f(x)]^2}$ always holds; find the range of real numbers $m$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Do You Believe? starred the football player who played for what team?", "role": "user" } ]
qa
{ "ground_truth": "Seattle Seahawks", "style": "rule" }
{ "index": 7776, "need_tools_kwargs": true, "question": "Do You Believe? starred the football player who played for what team?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film Evidence (1915 Film)?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 7777, "need_tools_kwargs": true, "question": "What nationality is the director of film Evidence (1915 Film)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "I planned to work 20 hours a week for 12 weeks this summer to earn $3000 to buy a used car. Unfortunately, due to unforeseen events, I wasn't able to work any hours during the first three weeks of the summer. How many hours per week do I need to work for the remaining summer to achieve my financial goal?", "role": "user" } ]
math
{ "ground_truth": "27", "style": "rule" }
{ "index": 7778, "need_tools_kwargs": true, "question": "I planned to work 20 hours a week for 12 weeks this summer to earn $3000 to buy a used car. Unfortunately, due to unforeseen events, I wasn't able to work any hours during the first three weeks of the summer. How many hours per week do I need to work for the remaining summer to achieve my financial goal?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "设 V 为所有次数不超过 100 的实系数多项式构成的线性空间,令V_1=\\{f\\in V\\ |\\ f^{(2k-1)}(0)=0,k=1,2,\\cdots,50\\},V_2=\\{f\\in V\\ |\\ f^{(k)}(-1)=f^{(k)}(1)=0,k=70,71,\\cdots,98\\}.求 \\dim(V_1+V_2).", "role": "user" } ]
math
{ "ground_truth": "86", "style": "rule" }
{ "index": 7779, "need_tools_kwargs": true, "question": "设 V 为所有次数不超过 100 的实系数多项式构成的线性空间,令V_1=\\{f\\in V\\ |\\ f^{(2k-1)}(0)=0,k=1,2,\\cdots,50\\},V_2=\\{f\\in V\\ |\\ f^{(k)}(-1)=f^{(k)}(1)=0,k=70,71,\\cdots,98\\}.求 \\dim(V_1+V_2).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the ellipse C: $$\\frac {x^{2}}{a^{2}}+ \\frac {y^{2}}{b^{2}}=1(a>b>0)$$, with the right focus $$F( \\sqrt {3},0)$$, and eccentricity $$e= \\frac { \\sqrt {3}}{2}$$.\n(1) Find the equation of ellipse C.\n(2) A line l passing through F and having an inclination angle of 45° intersects the ellipse at two distinct points M and N. Find the area of △OMN (O is the origin).", "role": "user" } ]
math
{ "ground_truth": "\\frac {2 \\sqrt {6}}{5}", "style": "rule" }
{ "index": 7780, "need_tools_kwargs": true, "question": "Given the ellipse C: $$\\frac {x^{2}}{a^{2}}+ \\frac {y^{2}}{b^{2}}=1(a>b>0)$$, with the right focus $$F( \\sqrt {3},0)$$, and eccentricity $$e= \\frac { \\sqrt {3}}{2}$$.\n(1) Find the equation of ellipse C.\n(2) A line l passing through F and having an inclination angle of 45° intersects the ellipse at two distinct points M and N. Find the area of △OMN (O is the origin).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Calculate: $\\sum_{k=0}^{2017} \\frac{5+\\cos \\frac{\\pi k}{1009}}{26+10 \\cos \\frac{\\pi k}{1009}}$.", "role": "user" } ]
math
{ "ground_truth": "\\frac{2018 \\times 5^{2017}}{5^{2018} - 1}", "style": "rule" }
{ "index": 7781, "need_tools_kwargs": true, "question": "Calculate: $\\sum_{k=0}^{2017} \\frac{5+\\cos \\frac{\\pi k}{1009}}{26+10 \\cos \\frac{\\pi k}{1009}}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the composer of film The Revolt Of Mamie Stover (Film)?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 7782, "need_tools_kwargs": true, "question": "What nationality is the composer of film The Revolt Of Mamie Stover (Film)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where did the performer of song Kawa No Nagare No Yō Ni die?", "role": "user" } ]
qa
{ "ground_truth": "Tokyo", "style": "rule" }
{ "index": 7783, "need_tools_kwargs": true, "question": "Where did the performer of song Kawa No Nagare No Yō Ni die?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Consider the list of the first 8 odd positive integers: \\(1, 3, 5, 7, 9, 11, 13, 15\\). Arrange these integers such that for each integer \\(b_i\\) (where \\(2 \\leq i \\leq 8\\)), either \\(b_i + 2\\) or \\(b_i - 2\\) or both must appear somewhere before \\(b_i\\) in the list. How many different arrangements of this list satisfy the given condition?", "role": "user" } ]
math
{ "ground_truth": "128", "style": "rule" }
{ "index": 7784, "need_tools_kwargs": true, "question": "Consider the list of the first 8 odd positive integers: \\(1, 3, 5, 7, 9, 11, 13, 15\\). Arrange these integers such that for each integer \\(b_i\\) (where \\(2 \\leq i \\leq 8\\)), either \\(b_i + 2\\) or \\(b_i - 2\\) or both must appear somewhere before \\(b_i\\) in the list. How many different arrangements of this list satisfy the given condition?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Find the largest value of \\( z \\) such that there exist \\( x \\) and \\( y \\) satisfying \\( 4x^{2} + 4y^{2} + z^{2} + xy + yz + xz = 8 \\). If the answer is a fractional number, it should be written as a decimal, for example, \\( 0.15 \\).", "role": "user" } ]
math
{ "ground_truth": "3.00", "style": "rule" }
{ "index": 7785, "need_tools_kwargs": true, "question": "Find the largest value of \\( z \\) such that there exist \\( x \\) and \\( y \\) satisfying \\( 4x^{2} + 4y^{2} + z^{2} + xy + yz + xz = 8 \\). If the answer is a fractional number, it should be written as a decimal, for example, \\( 0.15 \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What patch number was the Space Creature set added to in Terraria?", "role": "user" } ]
qa
{ "ground_truth": "1.2.1", "style": "rule" }
{ "index": 7786, "need_tools_kwargs": true, "question": "What patch number was the Space Creature set added to in Terraria?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the set \\( M = \\{1, 2, 3, \\ldots, 10\\} \\), determine how many subsets \\( A \\) of \\( M \\) exist such that the sum of the elements in \\( A \\) is equal to 8.", "role": "user" } ]
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 7787, "need_tools_kwargs": true, "question": "Given the set \\( M = \\{1, 2, 3, \\ldots, 10\\} \\), determine how many subsets \\( A \\) of \\( M \\) exist such that the sum of the elements in \\( A \\) is equal to 8.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who succeeded Rob Manfred as MLB Commissioner", "role": "user" } ]
qa
{ "ground_truth": "tenth and current Commissioner", "style": "rule" }
{ "index": 7788, "need_tools_kwargs": true, "question": "Who succeeded Rob Manfred as MLB Commissioner", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Each day, cat Basilio and fox Alisa visit all 20 courtyards in the capital of Fool's Country. In each courtyard, they are either given or not given one gold coin with a probability of $\\frac{1}{2}$. By the end of the day, if the number of received gold coins is even, then the fox and the cat share them equally. If the number of coins is odd, they share all the coins except one equally, and cat Basilio keeps the last coin as the commercial director of the enterprise. Find the expected number of coins received by the cat per day.", "role": "user" } ]
math
{ "ground_truth": "5.25", "style": "rule" }
{ "index": 7789, "need_tools_kwargs": true, "question": "Each day, cat Basilio and fox Alisa visit all 20 courtyards in the capital of Fool's Country. In each courtyard, they are either given or not given one gold coin with a probability of $\\frac{1}{2}$. By the end of the day, if the number of received gold coins is even, then the fox and the cat share them equally. If the number of coins is odd, they share all the coins except one equally, and cat Basilio keeps the last coin as the commercial director of the enterprise. Find the expected number of coins received by the cat per day.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the three-dimensional Cartesian coordinate system, given points $A(2,a,-1)$, $B(-2,3,b)$, $C(1,2,-2)$.<br/>$(1)$ If points $A$, $B$, and $C$ are collinear, find the values of $a$ and $b$;<br/>$(2)$ Given $b=-3$, $D(-1,3,-3)$, and points $A$, $B$, $C$, and $D$ are coplanar, find the value of $a$.", "role": "user" } ]
math
{ "ground_truth": "a=1", "style": "rule" }
{ "index": 7790, "need_tools_kwargs": true, "question": "In the three-dimensional Cartesian coordinate system, given points $A(2,a,-1)$, $B(-2,3,b)$, $C(1,2,-2)$.<br/>$(1)$ If points $A$, $B$, and $C$ are collinear, find the values of $a$ and $b$;<br/>$(2)$ Given $b=-3$, $D(-1,3,-3)$, and points $A$, $B$, $C$, and $D$ are coplanar, find the value of $a$.", "split": "train" }
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DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Catarina has 210 cards numbered from 1 to 210.\n\na) How many of these cards have a number that is a multiple of 3?\n\nb) How many of these cards have an even number that is not a multiple of 3?\n\nc) What is the minimum number of cards Catarina must randomly pick to be sure that at least two of them have the numbers 2 or 3 as a common divisor?", "role": "user" } ]
math
{ "ground_truth": "73", "style": "rule" }
{ "index": 7791, "need_tools_kwargs": true, "question": "Catarina has 210 cards numbered from 1 to 210.\n\na) How many of these cards have a number that is a multiple of 3?\n\nb) How many of these cards have an even number that is not a multiple of 3?\n\nc) What is the minimum number of cards Catarina must randomly pick to be sure that at least two of them have the numbers 2 or 3 as a common divisor?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a $4 \\times 5$ grid, place 5 crosses such that each row and each column contains at least one cross. How many ways can this be done?", "role": "user" } ]
math
{ "ground_truth": "240", "style": "rule" }
{ "index": 7792, "need_tools_kwargs": true, "question": "In a $4 \\times 5$ grid, place 5 crosses such that each row and each column contains at least one cross. How many ways can this be done?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The area of the triangle whose altitudes have lengths $36.4$ , $39$ , and $42$ can be written as $\\tfrac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$ .", "role": "user" } ]
math
{ "ground_truth": "3553", "style": "rule" }
{ "index": 7793, "need_tools_kwargs": true, "question": "The area of the triangle whose altitudes have lengths $36.4$ , $39$ , and $42$ can be written as $\\tfrac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "已知复数 z_1,z_2,\\cdots,z_{2023} 的和为 0,求 \\ds{i=1}{2023}|z_i^3-1| 的最小值.", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 7794, "need_tools_kwargs": true, "question": "已知复数 z_1,z_2,\\cdots,z_{2023} 的和为 0,求 \\ds{i=1}{2023}|z_i^3-1| 的最小值.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "How much area does the Lutheran church located in Ulm, Germany covers?", "role": "user" } ]
qa
{ "ground_truth": "185,000 to 190,000 m³", "style": "rule" }
{ "index": 7795, "need_tools_kwargs": true, "question": "How much area does the Lutheran church located in Ulm, Germany covers?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who is the spouse of the director of film Lord Of The Manor (Film)?", "role": "user" } ]
qa
{ "ground_truth": "Chrissie White", "style": "rule" }
{ "index": 7796, "need_tools_kwargs": true, "question": "Who is the spouse of the director of film Lord Of The Manor (Film)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "\"Hunger Strike\" is a song by a band that formed in which city ?", "role": "user" } ]
qa
{ "ground_truth": "Seattle", "style": "rule" }
{ "index": 7797, "need_tools_kwargs": true, "question": "\"Hunger Strike\" is a song by a band that formed in which city ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Convert $725_{16}$ to base 8.", "role": "user" } ]
math
{ "ground_truth": "3445_8", "style": "rule" }
{ "index": 7798, "need_tools_kwargs": true, "question": "Convert $725_{16}$ to base 8.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Entitled Opinions is a literary talk show hosted by Robert P. Harrison, a professor of French and Italian at Stanford University, guests have included which 2006 Nobel Prize in Literature, a Turkish novelist, screenwriter, academic?", "role": "user" } ]
qa
{ "ground_truth": "Ferit Orhan Pamuk", "style": "rule" }
{ "index": 7799, "need_tools_kwargs": true, "question": "Entitled Opinions is a literary talk show hosted by Robert P. Harrison, a professor of French and Italian at Stanford University, guests have included which 2006 Nobel Prize in Literature, a Turkish novelist, screenwriter, academic?", "split": "train" }
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