data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
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 film has the director who died first, Back To Bataan or New World (1995 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Back To Bataan",
"style": "rule"
}
|
{
"index": 9300,
"need_tools_kwargs": true,
"question": "Which film has the director who died first, Back To Bataan or New World (1995 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": "In a kindergarten, each child was given three cards, each of which has either \"MA\" or \"NY\" written on it. It turned out that 20 children can arrange their cards to spell the word \"MAMA\", 30 children can arrange their cards to spell the word \"NYANYA\", and 40 children can arrange their cards to spell the word \"MANYA\". How many children have all three cards that are the same?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 9301,
"need_tools_kwargs": true,
"question": "In a kindergarten, each child was given three cards, each of which has either \"MA\" or \"NY\" written on it. It turned out that 20 children can arrange their cards to spell the word \"MAMA\", 30 children can arrange their cards to spell the word \"NYANYA\", and 40 children can arrange their cards to spell the word \"MANYA\". How many children have all three cards that are the same?",
"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": "Fill a 9-row by 1000-column table with a total of 9000 numbers, where each of the numbers 1 through 1000 appears exactly 9 times, so that the absolute difference between any two numbers in the same column does not exceed 3. Let \\( M \\) be the minimum value of the sum of the numbers in any column. Find the maximum value of \\( M \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 9302,
"need_tools_kwargs": true,
"question": "Fill a 9-row by 1000-column table with a total of 9000 numbers, where each of the numbers 1 through 1000 appears exactly 9 times, so that the absolute difference between any two numbers in the same column does not exceed 3. Let \\( M \\) be the minimum value of the sum of the numbers in any column. Find the maximum value of \\( 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": "Which film has the director who was born earlier, The Frontiersmen or The Three Wise Guys?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Three Wise Guys",
"style": "rule"
}
|
{
"index": 9303,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, The Frontiersmen or The Three Wise Guys?",
"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 store owner bought 2000 pens at $0.15 each and plans to sell them at $0.30 each, calculate the number of pens he needs to sell to make a profit of exactly $150.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1000",
"style": "rule"
}
|
{
"index": 9304,
"need_tools_kwargs": true,
"question": "The store owner bought 2000 pens at $0.15 each and plans to sell them at $0.30 each, calculate the number of pens he needs to sell to make a profit of exactly $150.",
"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 film was released more recently, Cheer Boys Cheer or Journey To The Outer Limits?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Journey To The Outer Limits",
"style": "rule"
}
|
{
"index": 9305,
"need_tools_kwargs": true,
"question": "Which film was released more recently, Cheer Boys Cheer or Journey To The Outer Limits?",
"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 Zuminglish, words consist only of the letters $M, O,$ and $P$. $O$ is a vowel, while $M$ and $P$ are consonants. A valid Zuminglish word must have at least two consonants between any two $O's$. Determine the number of valid 7-letter words in Zuminglish and find the remainder when this number is divided by $1000$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "912",
"style": "rule"
}
|
{
"index": 9306,
"need_tools_kwargs": true,
"question": "In Zuminglish, words consist only of the letters $M, O,$ and $P$. $O$ is a vowel, while $M$ and $P$ are consonants. A valid Zuminglish word must have at least two consonants between any two $O's$. Determine the number of valid 7-letter words in Zuminglish and find the remainder when this number is divided by $1000$.",
"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": "Evaluate the sum \n\\[\n\\sum_{n=1}^{100} \\frac{(n^2+1)!}{(n!)^{n+2}}.\n\\]\nDetermine how many terms of this sum are integers and provide a justification for your answer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9307,
"need_tools_kwargs": true,
"question": "Evaluate the sum \n\\[\n\\sum_{n=1}^{100} \\frac{(n^2+1)!}{(n!)^{n+2}}.\n\\]\nDetermine how many terms of this sum are integers and provide a justification for your answer.",
"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 $\\{\\omega_1,\\omega_2,\\cdots,\\omega_{100}\\}$ be the roots of $\\frac{x^{101}-1}{x-1}$ (in some order). Consider the set $$S=\\{\\omega_1^1,\\omega_2^2,\\omega_3^3,\\cdots,\\omega_{100}^{100}\\}.$$ Let $M$ be the maximum possible number of unique values in $S,$ and let $N$ be the minimum possible number of unique values in $S.$ Find $M-N.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "98",
"style": "rule"
}
|
{
"index": 9308,
"need_tools_kwargs": true,
"question": "Let $\\{\\omega_1,\\omega_2,\\cdots,\\omega_{100}\\}$ be the roots of $\\frac{x^{101}-1}{x-1}$ (in some order). Consider the set $$S=\\{\\omega_1^1,\\omega_2^2,\\omega_3^3,\\cdots,\\omega_{100}^{100}\\}.$$ Let $M$ be the maximum possible number of unique values in $S,$ and let $N$ be the minimum possible number of unique values in $S.$ 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": "Are The Girl With Brains In Her Feet and Bix (Film) both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9309,
"need_tools_kwargs": true,
"question": "Are The Girl With Brains In Her Feet and Bix (Film) 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": "Consider the geometric sequence defined by \\( a_{n}=\\frac{1}{3^{n-1}} \\). Determine the correct relationship for the sum of the first \\( n \\) terms, \\( S_{n}=\\sum_{k=1}^{n} a_{k} \\), by analyzing the following statements. Which of these statements does not hold true for the relationship between \\( S_{k+1} \\) and \\( S_{k} \\)?\n\n1. \\( S_{k+1}=S_{k}+\\frac{1}{3^{k+1}} \\)\n\n2. \\( S_{k+1}=1+\\frac{1}{3} S_{k} \\)\n\n3. \\( S_{k+1}=S_{k}+a_{k+1} \\)\n\n4. \\( S_{k+1}=3 S_{k}-3+a_{k}+a_{k+1} \\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9310,
"need_tools_kwargs": true,
"question": "Consider the geometric sequence defined by \\( a_{n}=\\frac{1}{3^{n-1}} \\). Determine the correct relationship for the sum of the first \\( n \\) terms, \\( S_{n}=\\sum_{k=1}^{n} a_{k} \\), by analyzing the following statements. Which of these statements does not hold true for the relationship between \\( S_{k+1} \\) and \\( S_{k} \\)?\n\n1. \\( S_{k+1}=S_{k}+\\frac{1}{3^{k+1}} \\)\n\n2. \\( S_{k+1}=1+\\frac{1}{3} S_{k} \\)\n\n3. \\( S_{k+1}=S_{k}+a_{k+1} \\)\n\n4. \\( S_{k+1}=3 S_{k}-3+a_{k}+a_{k+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": "For the function \\( f(x) = 6x(1 - x) \\), suppose that there exists a positive constant \\( c \\) and a linear function \\( g(x) = ax + b \\) (where \\( a, b \\) are constants and \\( a > 0 \\)) that satisfy the following conditions:\n\n1. \\( c^2 \\int_0^1 f(x) \\, dx = 1 \\)\n2. \\( \\int_0^1 f(x) \\{g(x)\\}^2 \\, dx = 1 \\)\n3. \\( \\int_0^1 f(x) g(x) \\, dx = 0 \\)\n\nFind the constants \\( a, b, c \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9311,
"need_tools_kwargs": true,
"question": "For the function \\( f(x) = 6x(1 - x) \\), suppose that there exists a positive constant \\( c \\) and a linear function \\( g(x) = ax + b \\) (where \\( a, b \\) are constants and \\( a > 0 \\)) that satisfy the following conditions:\n\n1. \\( c^2 \\int_0^1 f(x) \\, dx = 1 \\)\n2. \\( \\int_0^1 f(x) \\{g(x)\\}^2 \\, dx = 1 \\)\n3. \\( \\int_0^1 f(x) g(x) \\, dx = 0 \\)\n\nFind the constants \\( a, b, 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": "On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1/3 of the total distance and again after she traveled some fraction of the distance remaining between her first stop and her destination. She then drove the remaining 300 miles and arrived safely at her destination. The total distance from Traci's starting point to Seal Beach was 600 miles. What fraction of the remaining distance did Traci travel between her first and second stops?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1/4",
"style": "rule"
}
|
{
"index": 9312,
"need_tools_kwargs": true,
"question": "On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1/3 of the total distance and again after she traveled some fraction of the distance remaining between her first stop and her destination. She then drove the remaining 300 miles and arrived safely at her destination. The total distance from Traci's starting point to Seal Beach was 600 miles. What fraction of the remaining distance did Traci travel between her first and second stops?",
"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": " After what date are additions to each club's playing list allowed for the 121st season of the Austrailian Football League (AFL)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "30 September",
"style": "rule"
}
|
{
"index": 9313,
"need_tools_kwargs": true,
"question": " After what date are additions to each club's playing list allowed for the 121st season of the Austrailian Football League (AFL)?",
"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 cats name from alice in wonderland",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Cheshire Cat",
"style": "rule"
}
|
{
"index": 9314,
"need_tools_kwargs": true,
"question": "what is the cats name from alice in wonderland",
"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 $A B C D$ be a square of side length 5, and let $E$ be the midpoint of side $A B$. Let $P$ and $Q$ be the feet of perpendiculars from $B$ and $D$ to $C E$, respectively, and let $R$ be the foot of the perpendicular from $A$ to $D Q$. The segments $C E, B P, D Q$, and $A R$ partition $A B C D$ into five regions. What is the median of the areas of these five regions?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9315,
"need_tools_kwargs": true,
"question": "Let $A B C D$ be a square of side length 5, and let $E$ be the midpoint of side $A B$. Let $P$ and $Q$ be the feet of perpendiculars from $B$ and $D$ to $C E$, respectively, and let $R$ be the foot of the perpendicular from $A$ to $D Q$. The segments $C E, B P, D Q$, and $A R$ partition $A B C D$ into five regions. What is the median of the areas of these five regions?",
"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": "Is it true that the altitudes of any tetrahedron intersect at a single point?",
"role": "user"
}
] |
math
|
{
"ground_truth": "False",
"style": "rule"
}
|
{
"index": 9316,
"need_tools_kwargs": true,
"question": "Is it true that the altitudes of any tetrahedron intersect at a single point?",
"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 was the 36th head coach of Purdue Boilermakers football born? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "April 24, 1971",
"style": "rule"
}
|
{
"index": 9317,
"need_tools_kwargs": true,
"question": "When was the 36th head coach of Purdue Boilermakers football 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": "Given the function $y=4+\\log_2(x-1)$ where $x \\geq 3$, find the domain of its inverse function.",
"role": "user"
}
] |
math
|
{
"ground_truth": "[5, +\\infty)",
"style": "rule"
}
|
{
"index": 9318,
"need_tools_kwargs": true,
"question": "Given the function $y=4+\\log_2(x-1)$ where $x \\geq 3$, find the domain of its inverse function.",
"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 circles x and y have the same area and circle x has a circumference of 14 π , half of the radius of circle y is :",
"role": "user"
}
] |
math
|
{
"ground_truth": "3.5",
"style": "rule"
}
|
{
"index": 9319,
"need_tools_kwargs": true,
"question": "if circles x and y have the same area and circle x has a circumference of 14 π , half of the radius of circle y is :",
"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": "On a rectangular sheet of paper, a picture is drawn in the shape of a \"cross\" formed by two rectangles $ABCD$ and $EFGH$, where the sides are parallel to the edges of the sheet. It is known that $AB=9$, $BC=5$, $EF=3$, and $FG=10$. Find the area of the quadrilateral $AFCH$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{105}{2}",
"style": "rule"
}
|
{
"index": 9320,
"need_tools_kwargs": true,
"question": "On a rectangular sheet of paper, a picture is drawn in the shape of a \"cross\" formed by two rectangles $ABCD$ and $EFGH$, where the sides are parallel to the edges of the sheet. It is known that $AB=9$, $BC=5$, $EF=3$, and $FG=10$. Find the area of the quadrilateral $AFCH$.",
"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": "Patrícia wrote, in ascending order, the positive integers formed only by odd digits: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 31, 33, ... What was the 157th number she wrote?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1113",
"style": "rule"
}
|
{
"index": 9321,
"need_tools_kwargs": true,
"question": "Patrícia wrote, in ascending order, the positive integers formed only by odd digits: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 31, 33, ... What was the 157th number she wrote?",
"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 song came out earlier, Intermezzo No. 1 or The Riff (Lordi Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Intermezzo No. 1",
"style": "rule"
}
|
{
"index": 9322,
"need_tools_kwargs": true,
"question": "Which song came out earlier, Intermezzo No. 1 or The Riff (Lordi Song)?",
"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 date of death of the director of film The Crossroads (1951 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "19 August 1974",
"style": "rule"
}
|
{
"index": 9323,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Crossroads (1951 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": "John purchased three types of chocolates, A, B, and C in bulk from another country. He purchased 1000 chocolates of type A at a cost price of $2 each, 1500 chocolates of type B at a cost price of $3 each, and 2000 chocolates of type C at a cost price of $4 each. However, because of the quantity he purchased, he received a bulk discount of 10% on type A, 15% on type B, and 20% on type C chocolates. \n\nUpon importing these chocolates to his own country, he had to pay an import tax of 8% on the total cost price. After crossing the custom, he distributed these chocolates among three of his shops. \n\n- He sold 800 chocolates of type A at a selling price of $3 each at his Shop 1.\n- He sold 70 chocolates of type A, 1400 chocolates of type B at a selling price of $3.50 each and 900 chocolates of type C at a selling price of $5 each at his Shop 2.\n- He sold 130 chocolates of type A, type B, and type C each at a discounted selling price of $2.50, $3 and $5 respectively to clear the stock at his Shop 3.\n\nIn the midst of these transitions, due to a sudden increase in cocoa prices, the cost price of type C chocolates went up by 4% right before he started selling.\n\nGiven these conditions, determine John's overall gain or loss percentage after selling all these chocolates.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.09\\%",
"style": "rule"
}
|
{
"index": 9324,
"need_tools_kwargs": true,
"question": "John purchased three types of chocolates, A, B, and C in bulk from another country. He purchased 1000 chocolates of type A at a cost price of $2 each, 1500 chocolates of type B at a cost price of $3 each, and 2000 chocolates of type C at a cost price of $4 each. However, because of the quantity he purchased, he received a bulk discount of 10% on type A, 15% on type B, and 20% on type C chocolates. \n\nUpon importing these chocolates to his own country, he had to pay an import tax of 8% on the total cost price. After crossing the custom, he distributed these chocolates among three of his shops. \n\n- He sold 800 chocolates of type A at a selling price of $3 each at his Shop 1.\n- He sold 70 chocolates of type A, 1400 chocolates of type B at a selling price of $3.50 each and 900 chocolates of type C at a selling price of $5 each at his Shop 2.\n- He sold 130 chocolates of type A, type B, and type C each at a discounted selling price of $2.50, $3 and $5 respectively to clear the stock at his Shop 3.\n\nIn the midst of these transitions, due to a sudden increase in cocoa prices, the cost price of type C chocolates went up by 4% right before he started selling.\n\nGiven these conditions, determine John's overall gain or loss percentage after selling all these chocolates.",
"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": "Three distinct vertices of a cube are chosen at random. What is the probability, in simplest form, that the plane determined by these three vertices contains points inside the cube? The original answer is in \\(\\frac{k}{m}\\) format, where \\(\\frac{k}{m}\\) is the simplest form of the probability. Please give the value of \\(k + m\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 9325,
"need_tools_kwargs": true,
"question": "Three distinct vertices of a cube are chosen at random. What is the probability, in simplest form, that the plane determined by these three vertices contains points inside the cube? The original answer is in \\(\\frac{k}{m}\\) format, where \\(\\frac{k}{m}\\) is the simplest form of the probability. Please give the value of \\(k + 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": "Which Breakthrough film director was based in Dallas, Texas?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "David Lowery",
"style": "rule"
}
|
{
"index": 9326,
"need_tools_kwargs": true,
"question": "Which Breakthrough film director was based in Dallas, Texas?",
"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 Warren Cook and Gavri Levy share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9327,
"need_tools_kwargs": true,
"question": "Did Warren Cook and Gavri Levy share the same nationality?",
"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 Scandal (1917 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Watertown",
"style": "rule"
}
|
{
"index": 9328,
"need_tools_kwargs": true,
"question": "Where was the director of film Scandal (1917 Film) 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": "Do both films Stalingrad (1990 Film) and Victory (1940 Film) have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9329,
"need_tools_kwargs": true,
"question": "Do both films Stalingrad (1990 Film) and Victory (1940 Film) have the directors 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": "Draped Up & Chipped Out, Vol. 2 had a guest appearance by the record producer who founded what label?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Thizz Entertainment",
"style": "rule"
}
|
{
"index": 9330,
"need_tools_kwargs": true,
"question": "Draped Up & Chipped Out, Vol. 2 had a guest appearance by the record producer who founded what label?",
"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": "15 - 2 + 4 ÷ 1 / 2 × 8 = ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "29",
"style": "rule"
}
|
{
"index": 9331,
"need_tools_kwargs": true,
"question": "15 - 2 + 4 ÷ 1 / 2 × 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": "When was the composer of film Chandi Sona born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "27 June 1939",
"style": "rule"
}
|
{
"index": 9332,
"need_tools_kwargs": true,
"question": "When was the composer of film Chandi Sona 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": "What nationality is the performer of song Happiness (Vanessa Williams Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "America",
"style": "rule"
}
|
{
"index": 9333,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Happiness (Vanessa Williams Song)?",
"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 death of the director of film De Blaa Drenge?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Copenhagen",
"style": "rule"
}
|
{
"index": 9334,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film De Blaa Drenge?",
"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": "ICarly starred which actress who got her start in \"School of Rock\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Miranda Taylor Cosgrove",
"style": "rule"
}
|
{
"index": 9335,
"need_tools_kwargs": true,
"question": "ICarly starred which actress who got her start in \"School of Rock\"?",
"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 real numbers $\\{a_i\\}$ and $\\{b_i\\},(i=1,2,3,4)$, such that $a_1b_2-a_2b_1\\neq0.$ Consider the set of all solutions $(x_1,x_2,x_3,x_4)$ of the simultaneous equations $a_{1}x_{1}+a_{2}x_{2}+a_{2}x_{4}+a_{4}x_{4}=0$ and $b_{1}x_{1}+b_{2}x_{4}+b_{2}x_{1}+b_{4}x_{4}=0$, for which no $x_{i}\\left(i=1,2,3,4\\right)$ is zero. Each such solution generates a 4-tuple of plus and minus signs (signum $x_1$, signum $x_2$, signum $x_3$, signum $x_4).$ Investigate necessary and sufficient conditions on the real numbers $\\{a_i\\}$ and $\\{b_i\\}$ such that the above maximum number of 4-tuples is attained. The original answer is in the form $a_{m} b_{n}-a_{n} b_{m} \\neq 0$ for $m, n=1,2,3,4$ and $m<n$. Please calculate the sum of all possible values of $m+n$ that satisfy this condition.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 9336,
"need_tools_kwargs": true,
"question": "Given real numbers $\\{a_i\\}$ and $\\{b_i\\},(i=1,2,3,4)$, such that $a_1b_2-a_2b_1\\neq0.$ Consider the set of all solutions $(x_1,x_2,x_3,x_4)$ of the simultaneous equations $a_{1}x_{1}+a_{2}x_{2}+a_{2}x_{4}+a_{4}x_{4}=0$ and $b_{1}x_{1}+b_{2}x_{4}+b_{2}x_{1}+b_{4}x_{4}=0$, for which no $x_{i}\\left(i=1,2,3,4\\right)$ is zero. Each such solution generates a 4-tuple of plus and minus signs (signum $x_1$, signum $x_2$, signum $x_3$, signum $x_4).$ Investigate necessary and sufficient conditions on the real numbers $\\{a_i\\}$ and $\\{b_i\\}$ such that the above maximum number of 4-tuples is attained. The original answer is in the form $a_{m} b_{n}-a_{n} b_{m} \\neq 0$ for $m, n=1,2,3,4$ and $m<n$. Please calculate the sum of all possible values of $m+n$ that satisfy this 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": "Are Orillia/Matchedash Lake Water Aerodrome and Tupelo Regional Airport both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9337,
"need_tools_kwargs": true,
"question": "Are Orillia/Matchedash Lake Water Aerodrome and Tupelo Regional Airport both 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": "Consider an isosceles trapezoid \\(ABCD\\) where \\(AB = 1\\), \\(BC = DA = 5\\), and \\(CD = 7\\). Let \\(P\\) be the intersection of the diagonals \\(AC\\) and \\(BD\\), and let \\(Q\\) be the foot of the altitude from \\(D\\) to \\(BC\\). If \\(PQ\\) intersects \\(AB\\) at point \\(R\\), calculate \\(\\sin \\angle RPD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{4}{5}",
"style": "rule"
}
|
{
"index": 9338,
"need_tools_kwargs": true,
"question": "Consider an isosceles trapezoid \\(ABCD\\) where \\(AB = 1\\), \\(BC = DA = 5\\), and \\(CD = 7\\). Let \\(P\\) be the intersection of the diagonals \\(AC\\) and \\(BD\\), and let \\(Q\\) be the foot of the altitude from \\(D\\) to \\(BC\\). If \\(PQ\\) intersects \\(AB\\) at point \\(R\\), calculate \\(\\sin \\angle RPD\\).",
"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 $x$ and $y$ be real numbers satisfying \\[(x^2+x-1)(x^2-x+1)=2(y^3-2\\sqrt{5}-1)\\] and \\[(y^2+y-1)(y^2-y+1)=2(x^3+2\\sqrt{5}-1)\\] Find $8x^2+4y^3$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 9339,
"need_tools_kwargs": true,
"question": "Let $x$ and $y$ be real numbers satisfying \\[(x^2+x-1)(x^2-x+1)=2(y^3-2\\sqrt{5}-1)\\] and \\[(y^2+y-1)(y^2-y+1)=2(x^3+2\\sqrt{5}-1)\\] Find $8x^2+4y^3$.",
"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 is the date of birth of the director of film This Film Is Not Yet Rated?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 23, 1952",
"style": "rule"
}
|
{
"index": 9340,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film This Film Is Not Yet Rated?",
"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": "Were Vladimir Leshonok and Mandy Harvey from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9341,
"need_tools_kwargs": true,
"question": "Were Vladimir Leshonok and Mandy Harvey 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": "Do both films Cadets (Film) and Lo Que Le Pasó A Santiago have the directors that share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9342,
"need_tools_kwargs": true,
"question": "Do both films Cadets (Film) and Lo Que Le Pasó A Santiago have the directors that share the same nationality?",
"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": "在矩形 $A B C D$ 中, $A B=2, A D=1$, 边 $D C$ 上（包含点 $D 、 C$ ）的动点 $P$ 与 $C B$ 延长线上 (包含点 $B$ ) 的动点 $Q$ 满足 $|\\overrightarrow{D P}|=|\\overrightarrow{B Q}|$, 则向量 $\\overrightarrow{P A}$ 与向量 $\\overrightarrow{P Q}$ 的数量积 $\\overrightarrow{P A} \\cdot \\overrightarrow{P Q}$ 的最小值为 $\\qquad$.\n原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 9343,
"need_tools_kwargs": true,
"question": "在矩形 $A B C D$ 中, $A B=2, A D=1$, 边 $D C$ 上（包含点 $D 、 C$ ）的动点 $P$ 与 $C B$ 延长线上 (包含点 $B$ ) 的动点 $Q$ 满足 $|\\overrightarrow{D P}|=|\\overrightarrow{B Q}|$, 则向量 $\\overrightarrow{P A}$ 与向量 $\\overrightarrow{P Q}$ 的数量积 $\\overrightarrow{P A} \\cdot \\overrightarrow{P Q}$ 的最小值为 $\\qquad$.\n原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"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": "Do both directors of films Deadly (Film) and Tarot (1986 Film) have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9344,
"need_tools_kwargs": true,
"question": "Do both directors of films Deadly (Film) and Tarot (1986 Film) have the same nationality?",
"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 death of the director of film Homage At Siesta Time?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Buenos Aires",
"style": "rule"
}
|
{
"index": 9345,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Homage At Siesta Time?",
"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": "An apple, pear, orange, and banana were placed in four boxes (one fruit in each box). Labels were made on the boxes:\n\n1. An orange is here.\n2. A pear is here.\n3. If a banana is in the first box, then either an apple or a pear is here.\n4. An apple is here.\n\nIt is known that none of the labels correspond to reality.\n\nDetermine which fruit is in which box. In the answer, record the box numbers sequentially, without spaces, where the apple, pear, orange, and banana are located, respectively (the answer should be a 4-digit number).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2431",
"style": "rule"
}
|
{
"index": 9346,
"need_tools_kwargs": true,
"question": "An apple, pear, orange, and banana were placed in four boxes (one fruit in each box). Labels were made on the boxes:\n\n1. An orange is here.\n2. A pear is here.\n3. If a banana is in the first box, then either an apple or a pear is here.\n4. An apple is here.\n\nIt is known that none of the labels correspond to reality.\n\nDetermine which fruit is in which box. In the answer, record the box numbers sequentially, without spaces, where the apple, pear, orange, and banana are located, respectively (the answer should be a 4-digit number).",
"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 kindergarten class, there are two (small) Christmas trees and five children. The teachers want to divide the children into two groups to form a ring around each tree, with at least one child in each group. The teachers distinguish the children but do not distinguish the trees: two configurations are considered identical if one can be converted into the other by swapping the trees (along with the corresponding groups) or by rotating each group around its tree. In how many ways can the children be divided into groups?",
"role": "user"
}
] |
math
|
{
"ground_truth": "50",
"style": "rule"
}
|
{
"index": 9347,
"need_tools_kwargs": true,
"question": "In a kindergarten class, there are two (small) Christmas trees and five children. The teachers want to divide the children into two groups to form a ring around each tree, with at least one child in each group. The teachers distinguish the children but do not distinguish the trees: two configurations are considered identical if one can be converted into the other by swapping the trees (along with the corresponding groups) or by rotating each group around its tree. In how many ways can the children be divided into groups?",
"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 Lootmaar die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "3 December 2011",
"style": "rule"
}
|
{
"index": 9348,
"need_tools_kwargs": true,
"question": "When did the director of film Lootmaar 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": "If triangle $PQR$ has sides of length $PQ = 7,$ $PR = 6,$ and $QR = 8,$ then calculate\n\\[\\frac{\\cos \\frac{P - Q}{2}}{\\sin \\frac{R}{2}} - \\frac{\\sin \\frac{P - Q}{2}}{\\cos \\frac{R}{2}}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{12}{7}",
"style": "rule"
}
|
{
"index": 9349,
"need_tools_kwargs": true,
"question": "If triangle $PQR$ has sides of length $PQ = 7,$ $PR = 6,$ and $QR = 8,$ then calculate\n\\[\\frac{\\cos \\frac{P - Q}{2}}{\\sin \\frac{R}{2}} - \\frac{\\sin \\frac{P - Q}{2}}{\\cos \\frac{R}{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": "An equilateral triangle has an area of $64\\sqrt{3}$ $\\text{cm}^2$. If each side of the triangle is decreased by 4 cm, by how many square centimeters is the area decreased?",
"role": "user"
}
] |
math
|
{
"ground_truth": "48.50",
"style": "rule"
}
|
{
"index": 9350,
"need_tools_kwargs": true,
"question": "An equilateral triangle has an area of $64\\sqrt{3}$ $\\text{cm}^2$. If each side of the triangle is decreased by 4 cm, by how many square centimeters is the area decreased?",
"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\n$$\n\\left\\{\\begin{array}{l}\n(a-b) \\sin \\frac{\\theta}{2} \\cos \\frac{\\varphi}{2}+(a+b) \\cos \\frac{\\theta}{2} \\sin \\frac{\\varphi}{2}=0(a, b>0) \\\\\n\\frac{x}{a} \\cos \\theta+\\frac{y}{b} \\sin \\theta=1 \\\\\n\\frac{x}{a} \\cos \\varphi+\\frac{y}{b} \\sin \\varphi=1\n\\end{array}\\right.\n$$\n\nEliminate $\\theta$ and $\\varphi$, and establish an identity among $x, y, a$, and $b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9351,
"need_tools_kwargs": true,
"question": "Given\n$$\n\\left\\{\\begin{array}{l}\n(a-b) \\sin \\frac{\\theta}{2} \\cos \\frac{\\varphi}{2}+(a+b) \\cos \\frac{\\theta}{2} \\sin \\frac{\\varphi}{2}=0(a, b>0) \\\\\n\\frac{x}{a} \\cos \\theta+\\frac{y}{b} \\sin \\theta=1 \\\\\n\\frac{x}{a} \\cos \\varphi+\\frac{y}{b} \\sin \\varphi=1\n\\end{array}\\right.\n$$\n\nEliminate $\\theta$ and $\\varphi$, and establish an identity among $x, y, a$, 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": "John is an Uber driver who made a gross income of $30,000 last year. He bought the car he used for Uber for $20,000. During his time as an Uber driver, he did regular maintenance on the vehicle, which cost $300 per month for 12 months, totalling $3,600. His insurance was billed annually and cost him $1,200 for the year. He had to replace the tires once during the year, which cost him an additional $400. At the end of the year, he traded in the car and got $6,000 back. \n\nApart from these expenses, John also had to consider taxes on his earnings. His tax advisor informed him that he needs to set aside 15% of his income for taxes, meaning he would owe $4,500 in taxes (15% × $30,000).\n\nTaking into account all the costs and the trade-in amount, calculate John's net profit from his stint as an Uber driver.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$6,300",
"style": "rule"
}
|
{
"index": 9352,
"need_tools_kwargs": true,
"question": "John is an Uber driver who made a gross income of $30,000 last year. He bought the car he used for Uber for $20,000. During his time as an Uber driver, he did regular maintenance on the vehicle, which cost $300 per month for 12 months, totalling $3,600. His insurance was billed annually and cost him $1,200 for the year. He had to replace the tires once during the year, which cost him an additional $400. At the end of the year, he traded in the car and got $6,000 back. \n\nApart from these expenses, John also had to consider taxes on his earnings. His tax advisor informed him that he needs to set aside 15% of his income for taxes, meaning he would owe $4,500 in taxes (15% × $30,000).\n\nTaking into account all the costs and the trade-in amount, calculate John's net profit from his stint as an Uber driver.",
"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 actors starred in the 1993 movie adaption of The Golden Egg?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jeff Bridges, Kiefer Sutherland, Nancy Travis and Sandra Bullock",
"style": "rule"
}
|
{
"index": 9353,
"need_tools_kwargs": true,
"question": "what actors starred in the 1993 movie adaption of The Golden Egg?",
"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": "Define $C(\\alpha)$ to be the coefficient of $x^{1992}$ in the power series expansion about $x=0$ of $(1+x)^{\\alpha}$. Evaluate\n$$\n\\int_{0}^{1} C(-y-1)\\left(\\frac{1}{y+1}+\\frac{1}{y+2}+\\frac{1}{y+3}+\\cdots+\\frac{1}{y+1992}\\right) d y.\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1992",
"style": "rule"
}
|
{
"index": 9354,
"need_tools_kwargs": true,
"question": "Define $C(\\alpha)$ to be the coefficient of $x^{1992}$ in the power series expansion about $x=0$ of $(1+x)^{\\alpha}$. Evaluate\n$$\n\\int_{0}^{1} C(-y-1)\\left(\\frac{1}{y+1}+\\frac{1}{y+2}+\\frac{1}{y+3}+\\cdots+\\frac{1}{y+1992}\\right) d y.\n$$",
"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": "Given the function $f(x)=(x+1)\\ln x$. \n$(1)$ Find the equation of the tangent line to $f(x)$ at $x=1$; \n$(2)$ Let $g(x)= \\frac {1}{a(1-x)}f(x)$, for any $x\\in(0,1)$, $g(x) < -2$, find the range of the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(0,1]",
"style": "rule"
}
|
{
"index": 9355,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=(x+1)\\ln x$. \n$(1)$ Find the equation of the tangent line to $f(x)$ at $x=1$; \n$(2)$ Let $g(x)= \\frac {1}{a(1-x)}f(x)$, for any $x\\in(0,1)$, $g(x) < -2$, find the range of the real number $a$.",
"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": "Kyle, David, and Catherine each try independently to solve a problem. Their individual probabilities for success are 1/3, 2/7, and 5/9, respectively. What is the probability that Kyle and Catherine, but not David, will solve the problem?",
"role": "user"
}
] |
math
|
{
"ground_truth": "25/189",
"style": "rule"
}
|
{
"index": 9356,
"need_tools_kwargs": true,
"question": "Kyle, David, and Catherine each try independently to solve a problem. Their individual probabilities for success are 1/3, 2/7, and 5/9, respectively. What is the probability that Kyle and Catherine, but not David, will solve the problem?",
"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 distinct digits can appear as the units digit of an integral perfect-cube number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 9357,
"need_tools_kwargs": true,
"question": "How many distinct digits can appear as the units digit of an integral perfect-cube number?",
"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 wrote the book that Peggy Robertson's 1948 movie is based on?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Helen Simpson",
"style": "rule"
}
|
{
"index": 9358,
"need_tools_kwargs": true,
"question": "Who wrote the book that Peggy Robertson's 1948 movie is based on?",
"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": "Former Fath Tehran F.C. member, Vahid Hashemian, was born in what year? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 July 1976",
"style": "rule"
}
|
{
"index": 9359,
"need_tools_kwargs": true,
"question": "Former Fath Tehran F.C. member, Vahid Hashemian, was born in what year? ",
"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 death of the director of film The Apache (1925 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Santiago",
"style": "rule"
}
|
{
"index": 9360,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Apache (1925 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": "Given vectors $\\overrightarrow{a}$, $\\overrightarrow{b}$, $\\overrightarrow{c}$ form equal angles with each other, and $|\\overrightarrow{a}|=1$, $|\\overrightarrow{b}|=1$, $|\\overrightarrow{c}|=3$, then $|\\overrightarrow{a}+\\overrightarrow{b}+\\overrightarrow{c}|=$_______",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9361,
"need_tools_kwargs": true,
"question": "Given vectors $\\overrightarrow{a}$, $\\overrightarrow{b}$, $\\overrightarrow{c}$ form equal angles with each other, and $|\\overrightarrow{a}|=1$, $|\\overrightarrow{b}|=1$, $|\\overrightarrow{c}|=3$, then $|\\overrightarrow{a}+\\overrightarrow{b}+\\overrightarrow{c}|=$_______",
"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": "If $\\tan \\alpha = 8$ and $\\tan \\beta = 7,$ then find $\\tan (\\alpha - \\beta).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.0175",
"style": "rule"
}
|
{
"index": 9362,
"need_tools_kwargs": true,
"question": "If $\\tan \\alpha = 8$ and $\\tan \\beta = 7,$ then find $\\tan (\\alpha - \\beta).$",
"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 Torsten Schmidt (Officer) and Clemens Fuest of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9363,
"need_tools_kwargs": true,
"question": "Are Torsten Schmidt (Officer) and Clemens Fuest of the same nationality?",
"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 year 2013, Xiao Ming's elder brother mentioned that it was the first time in his life he would experience a year with no repeated digits. Given that he was born in a year that is a multiple of 19, determine how old he is in 2013.",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 9364,
"need_tools_kwargs": true,
"question": "In the year 2013, Xiao Ming's elder brother mentioned that it was the first time in his life he would experience a year with no repeated digits. Given that he was born in a year that is a multiple of 19, determine how old he is in 2013.",
"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 Fibonacci numbers are defined recursively by \\( F_{0}=0 \\), \\( F_{1}=1 \\), and \\( F_{i}=F_{i-1}+F_{i-2} \\) for \\( i \\geq 2 \\). Given 15 wooden blocks of weights \\( F_{2}, F_{3}, \\ldots, F_{16} \\), compute the number of ways to paint each block either red or blue such that the total weight of the red blocks equals the total weight of the blue blocks.",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 9365,
"need_tools_kwargs": true,
"question": "The Fibonacci numbers are defined recursively by \\( F_{0}=0 \\), \\( F_{1}=1 \\), and \\( F_{i}=F_{i-1}+F_{i-2} \\) for \\( i \\geq 2 \\). Given 15 wooden blocks of weights \\( F_{2}, F_{3}, \\ldots, F_{16} \\), compute the number of ways to paint each block either red or blue such that the total weight of the red blocks equals the total weight of the blue blocks.",
"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": "\"Different for Girls\" is a song by Dierks Bentley that features an American singer who released her debut album on what date?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "February 17, 2015",
"style": "rule"
}
|
{
"index": 9366,
"need_tools_kwargs": true,
"question": "\"Different for Girls\" is a song by Dierks Bentley that features an American singer who released her debut album on what date?",
"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 an arithmetic sequence where the first term \\( b_1 = \\sin x \\) and the second term \\( b_2 = \\cos x \\). Furthermore, \\( b_4 = \\sin x + \\cos x \\) for some real number \\( x \\). What is \\( b_5 \\)?\nA) \\( 2\\sin x \\) \nB) \\( 2\\cos x \\) \nC) \\( \\sin x + \\cos x \\) \nD) \\( \\sin x - \\cos x \\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "B\\) \\( 2\\cos x \\)",
"style": "rule"
}
|
{
"index": 9367,
"need_tools_kwargs": true,
"question": "Consider an arithmetic sequence where the first term \\( b_1 = \\sin x \\) and the second term \\( b_2 = \\cos x \\). Furthermore, \\( b_4 = \\sin x + \\cos x \\) for some real number \\( x \\). What is \\( b_5 \\)?\nA) \\( 2\\sin x \\) \nB) \\( 2\\cos x \\) \nC) \\( \\sin x + \\cos x \\) \nD) \\( \\sin x - \\cos 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": "Let $M$ be a set of six distinct positive integers whose sum is $60$ . These numbers are written on the faces of a cube, one number to each face. A *move* consists of choosing three faces of the cube that share a common vertex and adding $1$ to the numbers on those faces. Determine the number of sets $M$ for which it’s possible, after a finite number of moves, to produce a cube all of whose sides have the same number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "84",
"style": "rule"
}
|
{
"index": 9368,
"need_tools_kwargs": true,
"question": "Let $M$ be a set of six distinct positive integers whose sum is $60$ . These numbers are written on the faces of a cube, one number to each face. A *move* consists of choosing three faces of the cube that share a common vertex and adding $1$ to the numbers on those faces. Determine the number of sets $M$ for which it’s possible, after a finite number of moves, to produce a cube all of whose sides have the same number.",
"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 Girl, The Body, And The Pill die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 26, 2016",
"style": "rule"
}
|
{
"index": 9369,
"need_tools_kwargs": true,
"question": "When did the director of film The Girl, The Body, And The Pill 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": "What is the largest possible radius of a circle contained in a 4-dimensional hypercube of side length 1? The original answer is in the form \\(\\frac{\\sqrt{n}}{m}\\). Please give the value of k + m + n, where the original answer is \\(\\frac{k\\sqrt{n}}{m}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9370,
"need_tools_kwargs": true,
"question": "What is the largest possible radius of a circle contained in a 4-dimensional hypercube of side length 1? The original answer is in the form \\(\\frac{\\sqrt{n}}{m}\\). Please give the value of k + m + n, where the original answer is \\(\\frac{k\\sqrt{n}}{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": "设集合 \\left\\{\\frac{2}{a}+b\\ |\\ 1\\leq a\\leq b\\leq 3\\right\\} 中的最大元素与最小元素分别为 M,m，则 M-m 的值为 k-m\\sqrt{n} 的形式，请给出 k+m+n 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 9371,
"need_tools_kwargs": true,
"question": "设集合 \\left\\{\\frac{2}{a}+b\\ |\\ 1\\leq a\\leq b\\leq 3\\right\\} 中的最大元素与最小元素分别为 M,m，则 M-m 的值为 k-m\\sqrt{n} 的形式，请给出 k+m+n 的值。",
"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": "The adopted son and heir of the founder of the Roman Principate was given what name at birth?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gaius Vipsanius Agrippa",
"style": "rule"
}
|
{
"index": 9372,
"need_tools_kwargs": true,
"question": "The adopted son and heir of the founder of the Roman Principate was given what name at birth?",
"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 copies did the best selling album by Sepultura sell ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "over 2 million copies worldwide",
"style": "rule"
}
|
{
"index": 9373,
"need_tools_kwargs": true,
"question": "How many copies did the best selling album by Sepultura sell ?",
"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 actor who played the husband of character \"Eunice Higgins\" got his big break on what CBS show?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Danny Kaye Show",
"style": "rule"
}
|
{
"index": 9374,
"need_tools_kwargs": true,
"question": "The actor who played the husband of character \"Eunice Higgins\" got his big break on what CBS show?",
"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 $f(x)=c\\ln x+\\frac{1}{2}x^2+bx$ ($b,c\\in\\mathbb{R}, c\\neq 0$), where $x=1$ is the extreme point of $f(x)$.\n\n(I) If $x=1$ is the maximum point of $f(x)$, find the monotonic interval of $f(x)$ (represented by $c$);\n\n(II) If $f(x)=0$ has exactly two solutions, find the range of values for the real number $c$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{1}{2} < c < 0",
"style": "rule"
}
|
{
"index": 9375,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=c\\ln x+\\frac{1}{2}x^2+bx$ ($b,c\\in\\mathbb{R}, c\\neq 0$), where $x=1$ is the extreme point of $f(x)$.\n\n(I) If $x=1$ is the maximum point of $f(x)$, find the monotonic interval of $f(x)$ (represented by $c$);\n\n(II) If $f(x)=0$ has exactly two solutions, find the range of values for the real number $c$.",
"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": "When was the album with the son Save Dat Money released?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 31, 2015",
"style": "rule"
}
|
{
"index": 9376,
"need_tools_kwargs": true,
"question": "When was the album with the son Save Dat Money released?",
"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 numbers $-2, 4, 6, 9$ and $12$ are rearranged according to these rules: \n \n$1$. The largest isn't first, but it is in one of the first three places. \n$2$. The smallest isn't last, but it is in one of the last three places. \n$3$. The median isn't first or last. \n \nIf the average of the first and last numbers is $x$, what is the value of $10x$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "65",
"style": "rule"
}
|
{
"index": 9377,
"need_tools_kwargs": true,
"question": "The numbers $-2, 4, 6, 9$ and $12$ are rearranged according to these rules: \n \n$1$. The largest isn't first, but it is in one of the first three places. \n$2$. The smallest isn't last, but it is in one of the last three places. \n$3$. The median isn't first or last. \n \nIf the average of the first and last numbers is $x$, what is the value of $10x$?",
"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": "An ideal gas is used as the working substance of a heat engine operating cyclically. The cycle consists of three stages: isochoric pressure reduction from $3 P_{0}$ to $P_{0}$, isobaric density increase from $\\rho_{0}$ to $3 \\rho_{0}$, and a return to the initial state, represented as a quarter circle in the $P / P_{0}, \\rho / \\rho_{0}$ coordinates with the center at point $(1,1)$. Determine the efficiency of this cycle, knowing that it is 8 times less than the maximum possible efficiency for the same minimum and maximum gas temperatures as in the given cycle.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{9}",
"style": "rule"
}
|
{
"index": 9378,
"need_tools_kwargs": true,
"question": "An ideal gas is used as the working substance of a heat engine operating cyclically. The cycle consists of three stages: isochoric pressure reduction from $3 P_{0}$ to $P_{0}$, isobaric density increase from $\\rho_{0}$ to $3 \\rho_{0}$, and a return to the initial state, represented as a quarter circle in the $P / P_{0}, \\rho / \\rho_{0}$ coordinates with the center at point $(1,1)$. Determine the efficiency of this cycle, knowing that it is 8 times less than the maximum possible efficiency for the same minimum and maximum gas temperatures as in the given cycle.",
"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 American bass guitarist known for his work in a virtual death metal band featured in \"Metalocalypse\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bryan Beller",
"style": "rule"
}
|
{
"index": 9379,
"need_tools_kwargs": true,
"question": "Who is the American bass guitarist known for his work in a virtual death metal band featured in \"Metalocalypse\"?",
"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 movies, I Really Hate My Job and Polar (film), from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9380,
"need_tools_kwargs": true,
"question": "Are both movies, I Really Hate My Job and Polar (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": "设 $A, B, C, D$ 是空间四个不共面的点, 以 \\frac{1}{2} 的概率在每对点之前连一条边, 任意两对点之间是否连边是相互独立的, 则 $A, B$ 可用空间折线（一条或若干条边组成的）连接的概率为。原始答案是\\frac{m}{n}格式，请给出m + n的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 9381,
"need_tools_kwargs": true,
"question": "设 $A, B, C, D$ 是空间四个不共面的点, 以 \\frac{1}{2} 的概率在每对点之前连一条边, 任意两对点之间是否连边是相互独立的, 则 $A, B$ 可用空间折线（一条或若干条边组成的）连接的概率为。原始答案是\\frac{m}{n}格式，请给出m + n的值。",
"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": "What is the largest number of acute angles that a convex hexagon can have?\n$\\textbf{(A)}\\ 2 \\qquad \\textbf{(B)}\\ 3 \\qquad \\textbf{(C)}\\ 4\\qquad \\textbf{(D)}\\ 5 \\qquad \\textbf{(E)}\\ 6$",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 9382,
"need_tools_kwargs": true,
"question": "What is the largest number of acute angles that a convex hexagon can have?\n$\\textbf{(A)}\\ 2 \\qquad \\textbf{(B)}\\ 3 \\qquad \\textbf{(C)}\\ 4\\qquad \\textbf{(D)}\\ 5 \\qquad \\textbf{(E)}\\ 6$",
"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 sum of the even numbers between 1 and n is 105 times a certain number, where n is an odd number. The value of n is 211. What is the number that, when multiplied by 105, represents the sum of the even numbers between 1 and n?",
"role": "user"
}
] |
math
|
{
"ground_truth": "106",
"style": "rule"
}
|
{
"index": 9383,
"need_tools_kwargs": true,
"question": "The sum of the even numbers between 1 and n is 105 times a certain number, where n is an odd number. The value of n is 211. What is the number that, when multiplied by 105, represents the sum of the even numbers between 1 and 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": "The side of the base \\( ABCD \\) of a regular quadrilateral pyramid \\( S \\) with base \\( ABCD \\) is \\( a \\), and the lateral edge is \\( b \\). Find the area of the cross-section of the pyramid by a plane passing through the midpoint of edge \\( AB \\) parallel to lines \\( BD \\) and \\( AS \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{5ab\\sqrt{2}}{16}",
"style": "rule"
}
|
{
"index": 9384,
"need_tools_kwargs": true,
"question": "The side of the base \\( ABCD \\) of a regular quadrilateral pyramid \\( S \\) with base \\( ABCD \\) is \\( a \\), and the lateral edge is \\( b \\). Find the area of the cross-section of the pyramid by a plane passing through the midpoint of edge \\( AB \\) parallel to lines \\( BD \\) and \\( AS \\).",
"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 one person completes a journey in 12 hours, they travel the first third of the journey at the rate of 18 km/hr, the second third at the rate of 24 km/hr, and the final third at the rate of 30 km/hr. Additionally, the person stops at each of the thirds for a 30-minute break. Find the total journey in km.",
"role": "user"
}
] |
math
|
{
"ground_truth": "253",
"style": "rule"
}
|
{
"index": 9385,
"need_tools_kwargs": true,
"question": "If one person completes a journey in 12 hours, they travel the first third of the journey at the rate of 18 km/hr, the second third at the rate of 24 km/hr, and the final third at the rate of 30 km/hr. Additionally, the person stops at each of the thirds for a 30-minute break. Find the total journey in km.",
"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 square is placed in the plane and a point $P$ is marked in this plane with invisible ink. A certain person can see this point through special glasses. One can draw a straight line, and this person will say on which side of the line the point $P$ lies. If $P$ lies on the line, the person says so. What is the minimal number of questions one needs to find out if $P$ lies inside the square or not?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 9386,
"need_tools_kwargs": true,
"question": "A square is placed in the plane and a point $P$ is marked in this plane with invisible ink. A certain person can see this point through special glasses. One can draw a straight line, and this person will say on which side of the line the point $P$ lies. If $P$ lies on the line, the person says so. What is the minimal number of questions one needs to find out if $P$ lies inside the square or not?",
"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": "Talithia throws a party on the fifth Saturday of every month that has five Saturdays. That is, if a month has five Saturdays, Talithia has a party on the fifth Saturday of that month, and if a month has four Saturdays, then Talithia does not have a party that month. Given that January $1$, $2010$ was a Friday, compute the number of parties Talithia will have in $2010$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 9387,
"need_tools_kwargs": true,
"question": "Talithia throws a party on the fifth Saturday of every month that has five Saturdays. That is, if a month has five Saturdays, Talithia has a party on the fifth Saturday of that month, and if a month has four Saturdays, then Talithia does not have a party that month. Given that January $1$, $2010$ was a Friday, compute the number of parties Talithia will have in $2010$.",
"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": "Adam has $5 to buy an airplane that costs $4.28. Calculate Adam's change, taking into account a tax of 7% and an additional fee of $0.35.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$0.07",
"style": "rule"
}
|
{
"index": 9388,
"need_tools_kwargs": true,
"question": "Adam has $5 to buy an airplane that costs $4.28. Calculate Adam's change, taking into account a tax of 7% and an additional fee of $0.35.",
"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 convex hexagon \\(ABCDEF\\) where each vertex is to be assigned a color. You have 8 different colors to choose from, but there are specific constraints: the colors assigned to the endpoints of each edge and each diagonal must be different. How many different ways can you color the vertices of the hexagon under these conditions?",
"role": "user"
}
] |
math
|
{
"ground_truth": "20160",
"style": "rule"
}
|
{
"index": 9389,
"need_tools_kwargs": true,
"question": "Consider a convex hexagon \\(ABCDEF\\) where each vertex is to be assigned a color. You have 8 different colors to choose from, but there are specific constraints: the colors assigned to the endpoints of each edge and each diagonal must be different. How many different ways can you color the vertices of the hexagon under these conditions?",
"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 performer of song I Don'T Believe You (She Acts Like We Never Have Met) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 9390,
"need_tools_kwargs": true,
"question": "Which country the performer of song I Don'T Believe You (She Acts Like We Never Have Met) 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": "Find the number of ordered pairs $(x,y)$ of positive integers that satisfy $x \\le 2y \\le 60$ and $y \\le 2x \\le 60$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "480",
"style": "rule"
}
|
{
"index": 9391,
"need_tools_kwargs": true,
"question": "Find the number of ordered pairs $(x,y)$ of positive integers that satisfy $x \\le 2y \\le 60$ and $y \\le 2x \\le 60$.",
"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": "On an auto trip, the distance read from the instrument panel was $450$ miles. With snow tires on for the return trip over the same route, the reading was $440$ miles. Find, to the nearest hundredth of an inch, the increase in radius of the wheels if the original radius was 15 inches.\n$\\text{(A) } .33\\quad \\text{(B) } .34\\quad \\text{(C) } .35\\quad \\text{(D) } .38\\quad \\text{(E) } .66$",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.34",
"style": "rule"
}
|
{
"index": 9392,
"need_tools_kwargs": true,
"question": "On an auto trip, the distance read from the instrument panel was $450$ miles. With snow tires on for the return trip over the same route, the reading was $440$ miles. Find, to the nearest hundredth of an inch, the increase in radius of the wheels if the original radius was 15 inches.\n$\\text{(A) } .33\\quad \\text{(B) } .34\\quad \\text{(C) } .35\\quad \\text{(D) } .38\\quad \\text{(E) } .66$",
"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 film has the director who is older than the other, Cry-Baby or Bad Moon? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cry-Baby",
"style": "rule"
}
|
{
"index": 9393,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Cry-Baby or Bad Moon? ",
"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 side length of the regular hexagon is 10 cm. What is the number of square centimeters in the area of the shaded region? Express your answer in simplest radical form.\n\n[asy]\nsize(100);\n\npair A,B,C,D,E,F;\nA = dir(0); B = dir(60); C = dir(120); D = dir(180); E = dir(240); F = dir(300);\n\nfill(B--C--E--F--cycle,heavycyan);\n\ndraw(A--B--C--D--E--F--A);\n[/asy]The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "103",
"style": "rule"
}
|
{
"index": 9394,
"need_tools_kwargs": true,
"question": "The side length of the regular hexagon is 10 cm. What is the number of square centimeters in the area of the shaded region? Express your answer in simplest radical form.\n\n[asy]\nsize(100);\n\npair A,B,C,D,E,F;\nA = dir(0); B = dir(60); C = dir(120); D = dir(180); E = dir(240); F = dir(300);\n\nfill(B--C--E--F--cycle,heavycyan);\n\ndraw(A--B--C--D--E--F--A);\n[/asy]The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + 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": "Are the directors of films The Family Man (1979 film) and City Dump: The Story of the 1951 CCNY Basketball Scandal both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9395,
"need_tools_kwargs": true,
"question": "Are the directors of films The Family Man (1979 film) and City Dump: The Story of the 1951 CCNY Basketball Scandal 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": "$a, b>0, a b(a+8 b)=20$ ，求 $a+3 b$ 的最小值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9396,
"need_tools_kwargs": true,
"question": "$a, b>0, a b(a+8 b)=20$ ，求 $a+3 b$ 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": "What British actress born in May started in a television series set in a fictional Sussex coastal town? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Geraldine McEwan",
"style": "rule"
}
|
{
"index": 9397,
"need_tools_kwargs": true,
"question": "What British actress born in May started in a television series set in a fictional Sussex coastal town? ",
"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 Academy Awards nominations has this actress, who accepted a tribute award at the Gotham Independent Film Awards 2016,received?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "five",
"style": "rule"
}
|
{
"index": 9398,
"need_tools_kwargs": true,
"question": "How many Academy Awards nominations has this actress, who accepted a tribute award at the Gotham Independent Film Awards 2016,received?",
"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 act is from Japan, L'Arc-en-Ciel or Lorde?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "L'Arc-en-Ciel (\"The Rainbow\" in French, stylized as L'Arc~en~Ciel) is a Japanese rock band",
"style": "rule"
}
|
{
"index": 9399,
"need_tools_kwargs": true,
"question": "Which act is from Japan, L'Arc-en-Ciel or Lorde?",
"split": "train"
}
| null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.