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null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The number $5^{867}$ is between $2^{2013}$ and $2^{2014}$. Find how many pairs of integers $(m,n)$ there are such that $1\\leq m\\leq 2012$ and \n$$5^n<2^m<2^{m+2}<5^{n+1}.$$", "role": "user" } ]
math
{ "ground_truth": "279", "style": "rule" }
{ "index": 7300, "need_tools_kwargs": true, "question": "The number $5^{867}$ is between $2^{2013}$ and $2^{2014}$. Find how many pairs of integers $(m,n)$ there are such that $1\\leq m\\leq 2012$ and \n$$5^n<2^m<2^{m+2}<5^{n+1}.$$", "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": "Find the sum of all prime numbers between $1$ and $100$ that are simultaneously $1$ greater than a multiple of $4$ and $1$ less than a multiple of $5$. What is the sum?", "role": "user" } ]
math
{ "ground_truth": "118", "style": "rule" }
{ "index": 7301, "need_tools_kwargs": true, "question": "Find the sum of all prime numbers between $1$ and $100$ that are simultaneously $1$ greater than a multiple of $4$ and $1$ less than a multiple of $5$. What is the sum?", "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 quadrilateral $ABCD,\\ BC=8,\\ CD=12,\\ AD=10,$ and $m\\angle A= m\\angle B = 60^\\circ.$ Given that $AB = p + \\sqrt{q},$ where $p$ and $q$ are positive integers, find $p+q.$\n", "role": "user" } ]
math
{ "ground_truth": "150", "style": "rule" }
{ "index": 7302, "need_tools_kwargs": true, "question": "In quadrilateral $ABCD,\\ BC=8,\\ CD=12,\\ AD=10,$ and $m\\angle A= m\\angle B = 60^\\circ.$ Given that $AB = p + \\sqrt{q},$ where $p$ and $q$ are positive integers, find $p+q.$\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 some positive integers (which may be the same) that do not exceed 10, find all possible values of \\( S \\) such that these numbers can always be divided into two parts, each with a sum not exceeding 70.", "role": "user" } ]
math
{ "ground_truth": "133", "style": "rule" }
{ "index": 7303, "need_tools_kwargs": true, "question": "Given some positive integers (which may be the same) that do not exceed 10, find all possible values of \\( S \\) such that these numbers can always be divided into two parts, each with a sum not exceeding 70.", "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 Spanish ballet dancer who starred in The Sandman the artistic director of?", "role": "user" } ]
qa
{ "ground_truth": "the English National Ballet", "style": "rule" }
{ "index": 7304, "need_tools_kwargs": true, "question": "What is the Spanish ballet dancer who starred in The Sandman the artistic director of?", "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 World Series championships have been won by the team that Bob Veale pitched for from 1972-1974?", "role": "user" } ]
qa
{ "ground_truth": "eight", "style": "rule" }
{ "index": 7305, "need_tools_kwargs": true, "question": "How many World Series championships have been won by the team that Bob Veale pitched for from 1972-1974?", "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 $A_0=(0,0)$. Distinct points $A_1, A_2, \\dots$ lie on the $x$-axis, and distinct points $B_1, B_2, \\dots$ lie on the graph of $y = x^2$. For every positive integer $n$, $A_{n-1}B_nA_n$ forms an equilateral triangle. Determine the smallest $n$ such that the distance $A_0A_n \\geq 200$.", "role": "user" } ]
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 7306, "need_tools_kwargs": true, "question": "Let $A_0=(0,0)$. Distinct points $A_1, A_2, \\dots$ lie on the $x$-axis, and distinct points $B_1, B_2, \\dots$ lie on the graph of $y = x^2$. For every positive integer $n$, $A_{n-1}B_nA_n$ forms an equilateral triangle. Determine the smallest $n$ such that the distance $A_0A_n \\geq 200$.", "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 value of 1021031 (prime number) x 237019 (prime number) = n.", "role": "user" } ]
math
{ "ground_truth": "241,940,557,349", "style": "rule" }
{ "index": 7307, "need_tools_kwargs": true, "question": "Find the value of 1021031 (prime number) x 237019 (prime number) = 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": "1. If $A_{10}^{m} =10×9×…×5$, then $m=$ ______.\n2. The number of ways for A, B, C, and D to take turns reading the same book, with A reading first, is ______.\n3. If five boys and two girls are to be arranged in a row for a photo, with boy A required to stand in the middle and the two girls required to stand next to each other, the total number of arrangements that meet these conditions is ______.", "role": "user" } ]
math
{ "ground_truth": "192", "style": "rule" }
{ "index": 7308, "need_tools_kwargs": true, "question": "1. If $A_{10}^{m} =10×9×…×5$, then $m=$ ______.\n2. The number of ways for A, B, C, and D to take turns reading the same book, with A reading first, is ______.\n3. If five boys and two girls are to be arranged in a row for a photo, with boy A required to stand in the middle and the two girls required to stand next to each other, the total number of arrangements that meet these conditions 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": "A pet store had 38 Siamese cats, 25 house cats, 15 Persian cats, and 12 Maine Coon cats. During a sale, they sold 60% of the Siamese cats, 40% of the house cats, 75% of the Persian cats, and 50% of the Maine Coon cats. How many cats do they have left?", "role": "user" } ]
math
{ "ground_truth": "41", "style": "rule" }
{ "index": 7309, "need_tools_kwargs": true, "question": "A pet store had 38 Siamese cats, 25 house cats, 15 Persian cats, and 12 Maine Coon cats. During a sale, they sold 60% of the Siamese cats, 40% of the house cats, 75% of the Persian cats, and 50% of the Maine Coon cats. How many cats do they have left?", "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": "Two distinct natural numbers end in 5 zeros and have exactly 42 divisors. Find their sum.", "role": "user" } ]
math
{ "ground_truth": "700000", "style": "rule" }
{ "index": 7310, "need_tools_kwargs": true, "question": "Two distinct natural numbers end in 5 zeros and have exactly 42 divisors. Find their sum.", "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 did the person who played the mother on This Is Us play in The Princess Diaries?", "role": "user" } ]
qa
{ "ground_truth": "Lana Thomas", "style": "rule" }
{ "index": 7311, "need_tools_kwargs": true, "question": "Who did the person who played the mother on This Is Us play in The Princess Diaries?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film First Graders?", "role": "user" } ]
qa
{ "ground_truth": "Iran", "style": "rule" }
{ "index": 7312, "need_tools_kwargs": true, "question": "What nationality is the director of film First Graders?", "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": "268 numbers are written around a circle. The 17th number is 3, the 83rd is 4, and the 144th is 9. The sum of every 20 consecutive numbers is 72. Find the 210th number.", "role": "user" } ]
math
{ "ground_truth": "-\\frac{8}{5}", "style": "rule" }
{ "index": 7313, "need_tools_kwargs": true, "question": "268 numbers are written around a circle. The 17th number is 3, the 83rd is 4, and the 144th is 9. The sum of every 20 consecutive numbers is 72. Find the 210th 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": "Garsington Manor is located near the home of the son of what American-British billionaire philanthropist?", "role": "user" } ]
qa
{ "ground_truth": "Sir John Paul Getty, Jr.", "style": "rule" }
{ "index": 7314, "need_tools_kwargs": true, "question": "Garsington Manor is located near the home of the son of what American-British billionaire philanthropist?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Determine all integers $a$ for which the equation \\[x^{2}+axy+y^{2}=1\\] has infinitely many distinct integer solutions $x, \\;y$ .", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 7315, "need_tools_kwargs": true, "question": "Determine all integers $a$ for which the equation \\[x^{2}+axy+y^{2}=1\\] has infinitely many distinct integer solutions $x, \\;y$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In what town with a population less than 600 could one have found the attraction, World's Largest Farm Tractor, in 1998?", "role": "user" } ]
qa
{ "ground_truth": "Big Sandy, Montana", "style": "rule" }
{ "index": 7316, "need_tools_kwargs": true, "question": "In what town with a population less than 600 could one have found the attraction, World's Largest Farm Tractor, in 1998?", "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 American media franchise is centered on a series of monster films featuring Godzilla and King Kong?", "role": "user" } ]
qa
{ "ground_truth": "MonsterVerse is an American media franchise", "style": "rule" }
{ "index": 7317, "need_tools_kwargs": true, "question": "What American media franchise is centered on a series of monster films featuring Godzilla and King Kong?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film Mythili Ennai Kaathali?", "role": "user" } ]
qa
{ "ground_truth": "India", "style": "rule" }
{ "index": 7318, "need_tools_kwargs": true, "question": "What nationality is the director of film Mythili Ennai Kaathali?", "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 bus departs from San Antonio to Austin at 6:30 AM and takes 7 hours to complete its journey. Buses from Austin to San Antonio leave every two hours starting at 6:00 AM and also take 7 hours to reach their destination. Determine how many Austin-bound buses the San Antonio-bound bus passes on the highway during its trip.", "role": "user" } ]
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 7319, "need_tools_kwargs": true, "question": "A bus departs from San Antonio to Austin at 6:30 AM and takes 7 hours to complete its journey. Buses from Austin to San Antonio leave every two hours starting at 6:00 AM and also take 7 hours to reach their destination. Determine how many Austin-bound buses the San Antonio-bound bus passes on the highway during its trip.", "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 system was used to form the Uppiliyapuram constituency in India in 1996?", "role": "user" } ]
qa
{ "ground_truth": "system of reservation in India", "style": "rule" }
{ "index": 7320, "need_tools_kwargs": true, "question": "What system was used to form the Uppiliyapuram constituency in India in 1996?", "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": "在平面直角坐标系 xOy 中,抛物线 \\Gamma:y^2=4x,F 为 \\Gamma 的焦点。A, B 为 \\Gamma 上的两个不重合的动点,使得线段 AB 的一个三等分点 P 位于线段 OF 上(含端点)。记 Q 为线段 AB 的另一个三等分点,求点 Q 的轨迹方程。原始答案的形式为 y^2=\\frac{k}{m}x(0<x\\leq\\frac{n}{p}),请给出 k+m+n+p 的值。", "role": "user" } ]
math
{ "ground_truth": "12", "style": "rule" }
{ "index": 7321, "need_tools_kwargs": true, "question": "在平面直角坐标系 xOy 中,抛物线 \\Gamma:y^2=4x,F 为 \\Gamma 的焦点。A, B 为 \\Gamma 上的两个不重合的动点,使得线段 AB 的一个三等分点 P 位于线段 OF 上(含端点)。记 Q 为线段 AB 的另一个三等分点,求点 Q 的轨迹方程。原始答案的形式为 y^2=\\frac{k}{m}x(0<x\\leq\\frac{n}{p}),请给出 k+m+n+p 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": "name one of the directors Ron Dean worked with ?", "role": "user" } ]
qa
{ "ground_truth": "John Hughes", "style": "rule" }
{ "index": 7322, "need_tools_kwargs": true, "question": "name one of the directors Ron Dean worked with ?", "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 vertices of a regular 2019-gon, numbers are arranged such that the sum of the numbers in any nine consecutive vertices is equal to 300. It is known that the 19th vertex has the number 19, and the 20th vertex has the number 20. What number is at the 2019th vertex?", "role": "user" } ]
math
{ "ground_truth": "61", "style": "rule" }
{ "index": 7323, "need_tools_kwargs": true, "question": "In the vertices of a regular 2019-gon, numbers are arranged such that the sum of the numbers in any nine consecutive vertices is equal to 300. It is known that the 19th vertex has the number 19, and the 20th vertex has the number 20. What number is at the 2019th vertex?", "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 minimum length of segment \\( AB \\), if point \\( A \\) belongs to the set defined by the equation \\( y^{2} - 9 + 2 y x - 12 x - 3 x^{2} = 0 \\), and point \\( B \\) belongs to the set defined by the equation \\( y^{2} + 3 - 4 x - 2 y + x^{2} = 0 \\).", "role": "user" } ]
math
{ "ground_truth": "2\\sqrt{2}", "style": "rule" }
{ "index": 7324, "need_tools_kwargs": true, "question": "Find the minimum length of segment \\( AB \\), if point \\( A \\) belongs to the set defined by the equation \\( y^{2} - 9 + 2 y x - 12 x - 3 x^{2} = 0 \\), and point \\( B \\) belongs to the set defined by the equation \\( y^{2} + 3 - 4 x - 2 y + x^{2} = 0 \\).", "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 directed the series that co-stars the actor that played Edward Teller in \"Oppenheimer\"?", "role": "user" } ]
qa
{ "ground_truth": "Niall MacCormick", "style": "rule" }
{ "index": 7325, "need_tools_kwargs": true, "question": "Who directed the series that co-stars the actor that played Edward Teller in \"Oppenheimer\"?", "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 are the campuses of the college where Chris Andersen played basketball for one year ?", "role": "user" } ]
qa
{ "ground_truth": "Brenham, Bryan, Schulenburg, and Sealy", "style": "rule" }
{ "index": 7326, "need_tools_kwargs": true, "question": "Where are the campuses of the college where Chris Andersen played basketball for one 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": "What league did the shortest player ever to play in the NBA play for a team in Rhode Island from?", "role": "user" } ]
qa
{ "ground_truth": "United States Basketball League", "style": "rule" }
{ "index": 7327, "need_tools_kwargs": true, "question": "What league did the shortest player ever to play in the NBA play for a team in Rhode Island 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": "Who was Romaine Patterson's friend who was beaten, tortured, and left to die near Laramie?", "role": "user" } ]
qa
{ "ground_truth": "Matthew Wayne \"Matt\" Shepard", "style": "rule" }
{ "index": 7328, "need_tools_kwargs": true, "question": "Who was Romaine Patterson's friend who was beaten, tortured, and left to die near Laramie?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Did the TechCrunch report on October 7, 2023, concerning Dave Clark's comments on Flexport, and the subsequent TechCrunch article on September 30, 2023, regarding Ryan Petersen's actions at Flexport, result in a change in the nature of the events reported?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7329, "need_tools_kwargs": true, "question": "Did the TechCrunch report on October 7, 2023, concerning Dave Clark's comments on Flexport, and the subsequent TechCrunch article on September 30, 2023, regarding Ryan Petersen's actions at Flexport, result in a change in the nature of the events reported?", "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": "You have two wheels. The first wheel has five sections, consisting of two even numbers and three odd numbers. The second wheel has four sections, which include one even number, two odd numbers, and one special section that doubles the number spun on the first wheel. Determine the probability that the sum of the numbers obtained from spinning both wheels results in an even number.", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{2}", "style": "rule" }
{ "index": 7330, "need_tools_kwargs": true, "question": "You have two wheels. The first wheel has five sections, consisting of two even numbers and three odd numbers. The second wheel has four sections, which include one even number, two odd numbers, and one special section that doubles the number spun on the first wheel. Determine the probability that the sum of the numbers obtained from spinning both wheels results in an even 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": "With what orchestra did the \"Afred\" from The Revenge of the Bat debut in 1987?", "role": "user" } ]
qa
{ "ground_truth": "Concertgebouw Orchestra", "style": "rule" }
{ "index": 7331, "need_tools_kwargs": true, "question": "With what orchestra did the \"Afred\" from The Revenge of the Bat debut in 1987?", "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 \\) be any set of 7 real numbers. Define the set \\( B = \\{xy \\mid x, y \\in A \\text{ and } x \\neq y\\} \\). If \\( |B| \\) denotes the number of elements in the set \\( B \\), what is \\( |B|_{\\text{max}} + |B|_{\\text{min}} \\)?", "role": "user" } ]
math
{ "ground_truth": "30", "style": "rule" }
{ "index": 7332, "need_tools_kwargs": true, "question": "Let \\( A \\) be any set of 7 real numbers. Define the set \\( B = \\{xy \\mid x, y \\in A \\text{ and } x \\neq y\\} \\). If \\( |B| \\) denotes the number of elements in the set \\( B \\), what is \\( |B|_{\\text{max}} + |B|_{\\text{min}} \\)?", "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 venue of the The 29th Annual Kids' Choice Awards first open?", "role": "user" } ]
qa
{ "ground_truth": "December 30, 1967", "style": "rule" }
{ "index": 7333, "need_tools_kwargs": true, "question": "When did the venue of the The 29th Annual Kids' Choice Awards first open?", "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 sample \\\\(3\\\\), \\\\(4\\\\), \\\\(5\\\\), \\\\(6\\\\), \\\\(7\\\\), the variance of these \\\\(5\\\\) numbers is ____.", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 7334, "need_tools_kwargs": true, "question": "Given the sample \\\\(3\\\\), \\\\(4\\\\), \\\\(5\\\\), \\\\(6\\\\), \\\\(7\\\\), the variance of these \\\\(5\\\\) numbers 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": "Two advanced Level 3 students participated in a university chess tournament. Each participant plays against all others exactly once. A win is worth 1 point, a draw is worth 0.5 points, and a loss is worth 0 points. The total scores of the two Level 3 students sum up to 6.5 points. All university students scored the same amount of points. How many university students participated in the competition?", "role": "user" } ]
math
{ "ground_truth": "11", "style": "rule" }
{ "index": 7335, "need_tools_kwargs": true, "question": "Two advanced Level 3 students participated in a university chess tournament. Each participant plays against all others exactly once. A win is worth 1 point, a draw is worth 0.5 points, and a loss is worth 0 points. The total scores of the two Level 3 students sum up to 6.5 points. All university students scored the same amount of points. How many university students participated in the competition?", "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 first naval recipient of the Medal of Honor in WWII shot down?", "role": "user" } ]
qa
{ "ground_truth": "Tarawa", "style": "rule" }
{ "index": 7336, "need_tools_kwargs": true, "question": "Where was the first naval recipient of the Medal of Honor in WWII shot down?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What was the population in 2011 of the district in which the civil parish of Mellor is located ?", "role": "user" } ]
qa
{ "ground_truth": "57,132", "style": "rule" }
{ "index": 7337, "need_tools_kwargs": true, "question": "What was the population in 2011 of the district in which the civil parish of Mellor is located ?", "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 regular polygons with 6, 7, 8, and 9 sides inscribed in the same circle. These polygons do not share any vertices, and no two sides intersect at more than one point within the circle's interior. Calculate the total number of points inside the circle where exactly two sides from these polygons intersect.", "role": "user" } ]
math
{ "ground_truth": "335", "style": "rule" }
{ "index": 7338, "need_tools_kwargs": true, "question": "Consider regular polygons with 6, 7, 8, and 9 sides inscribed in the same circle. These polygons do not share any vertices, and no two sides intersect at more than one point within the circle's interior. Calculate the total number of points inside the circle where exactly two sides from these polygons intersect.", "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": "Archimedes drew a square with side length $36$ cm into the sand and he also drew a circle of radius $36$ cm around each vertex of the square. If the total area of the grey parts is $n \\cdot \\pi$ cm$^2$, what is the value of $n$?", "role": "user" } ]
math
{ "ground_truth": "3888", "style": "rule" }
{ "index": 7339, "need_tools_kwargs": true, "question": "Archimedes drew a square with side length $36$ cm into the sand and he also drew a circle of radius $36$ cm around each vertex of the square. If the total area of the grey parts is $n \\cdot \\pi$ cm$^2$, what is the value of $n$?", "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 polynomial \\( x^{2n} + 1 + (x+1)^{2n} \\) cannot be divided by \\( x^2 + x + 1 \\) under the condition that \\( n \\) is equal to:\n(A) 17\n(B) 20\n(C) 21\n(D) 64\n(E) 65", "role": "user" } ]
math
{ "ground_truth": "21", "style": "rule" }
{ "index": 7340, "need_tools_kwargs": true, "question": "The polynomial \\( x^{2n} + 1 + (x+1)^{2n} \\) cannot be divided by \\( x^2 + x + 1 \\) under the condition that \\( n \\) is equal to:\n(A) 17\n(B) 20\n(C) 21\n(D) 64\n(E) 65", "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 all real values of $x$ that satisfy $\\frac{x^2+x^3-2x^4}{x+x^2-2x^3} \\ge -1.$ Give your answer in interval notation as $[a, b) \\cup (c, d) \\cup (e, f) \\cup (g, \\infty)$, and find the value of $a + b + c + d + e + f$.", "role": "user" } ]
math
{ "ground_truth": "-1", "style": "rule" }
{ "index": 7341, "need_tools_kwargs": true, "question": "Find all real values of $x$ that satisfy $\\frac{x^2+x^3-2x^4}{x+x^2-2x^3} \\ge -1.$ Give your answer in interval notation as $[a, b) \\cup (c, d) \\cup (e, f) \\cup (g, \\infty)$, and find the value of $a + b + c + d + e + f$.", "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 table on the left, an operation consists of adding 1 or subtracting 1 to the numbers in any two adjacent cells sharing a common edge. After performing a finite number of operations, the table on the left becomes the table on the right. What is the number in cell $A$ in the table on the right?", "role": "user" } ]
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 7342, "need_tools_kwargs": true, "question": "In the table on the left, an operation consists of adding 1 or subtracting 1 to the numbers in any two adjacent cells sharing a common edge. After performing a finite number of operations, the table on the left becomes the table on the right. What is the number in cell $A$ in the table on the right?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "There is a unique quadruple of positive integers \\((a, b, c, k)\\) such that \\(c\\) is not a perfect square and \\(a + \\sqrt{b + \\sqrt{c}}\\) is a root of the polynomial \\(x^4 - 20x^3 + 108x^2 - kx + 9\\). Compute \\(c\\).", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 7343, "need_tools_kwargs": true, "question": "There is a unique quadruple of positive integers \\((a, b, c, k)\\) such that \\(c\\) is not a perfect square and \\(a + \\sqrt{b + \\sqrt{c}}\\) is a root of the polynomial \\(x^4 - 20x^3 + 108x^2 - kx + 9\\). Compute \\(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": "Are Kondek-E Khanjar and Garm Bit-E Bala located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 7344, "need_tools_kwargs": true, "question": "Are Kondek-E Khanjar and Garm Bit-E Bala 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": "The Queen Eleanor Memorial Cross is a replica of a Cross that was sculpter by William of Ireland and who?", "role": "user" } ]
qa
{ "ground_truth": "Alexander of Abingdon", "style": "rule" }
{ "index": 7345, "need_tools_kwargs": true, "question": "The Queen Eleanor Memorial Cross is a replica of a Cross that was sculpter by William of Ireland and who?", "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, Should Husbands Work? and The Man on the Street, have the directors who are from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7346, "need_tools_kwargs": true, "question": "Do both films, Should Husbands Work? and The Man on the Street, have the directors who are from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of the director of film Jasper And The Haunted House?", "role": "user" } ]
qa
{ "ground_truth": "May 2, 1980", "style": "rule" }
{ "index": 7347, "need_tools_kwargs": true, "question": "What is the date of death of the director of film Jasper And The Haunted House?", "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 Open Pit Mine?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 7348, "need_tools_kwargs": true, "question": "What nationality is the performer of song Open Pit Mine?", "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 Seniman Bujang Lapok and Brass Knuckles (film) have the directors from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7349, "need_tools_kwargs": true, "question": "Do both films Seniman Bujang Lapok and Brass Knuckles (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": "What commercial starring Vinny Warren first debuted during Monday Night Football in December of 1999?", "role": "user" } ]
qa
{ "ground_truth": "Whassup?", "style": "rule" }
{ "index": 7350, "need_tools_kwargs": true, "question": "What commercial starring Vinny Warren first debuted during Monday Night Football in December of 1999?", "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": "By what nickname was the father of George Frederick of Brandenburg-Ansbach known ? ", "role": "user" } ]
qa
{ "ground_truth": "George the Pious", "style": "rule" }
{ "index": 7351, "need_tools_kwargs": true, "question": "By what nickname was the father of George Frederick of Brandenburg-Ansbach known ? ", "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 child of the director of film Not For Sale (Film)?", "role": "user" } ]
qa
{ "ground_truth": "Roy Kellino", "style": "rule" }
{ "index": 7352, "need_tools_kwargs": true, "question": "Who is the child of the director of film Not For Sale (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": "This month, I spent 26 days exercising for 20 minutes or more, 24 days exercising 40 minutes or more, and 4 days of exercising 2 hours exactly. I never exercise for less than 20 minutes or for more than 2 hours. What is the minimum number of hours I could have exercised this month?", "role": "user" } ]
math
{ "ground_truth": "22", "style": "rule" }
{ "index": 7353, "need_tools_kwargs": true, "question": "This month, I spent 26 days exercising for 20 minutes or more, 24 days exercising 40 minutes or more, and 4 days of exercising 2 hours exactly. I never exercise for less than 20 minutes or for more than 2 hours. What is the minimum number of hours I could have exercised this month?", "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": "Suppose $a_0, a_1, \\ldots, a_{2018}$ are integers such that \\[ (x^2 - 3x + 1)^{1009} = \\sum_{k=0}^{2018} a_k x^k \\] for all real numbers $x$. Compute the remainder when $a_0^2 + a_1^2 + \\cdots + a_{2018}^2$ is divided by $2017$.", "role": "user" } ]
math
{ "ground_truth": "9", "style": "rule" }
{ "index": 7354, "need_tools_kwargs": true, "question": "Suppose $a_0, a_1, \\ldots, a_{2018}$ are integers such that \\[ (x^2 - 3x + 1)^{1009} = \\sum_{k=0}^{2018} a_k x^k \\] for all real numbers $x$. Compute the remainder when $a_0^2 + a_1^2 + \\cdots + a_{2018}^2$ is divided by $2017$.", "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 park in Spain is bigger Guadarrama National Park or Atlantic Islands of Galicia National Park?", "role": "user" } ]
qa
{ "ground_truth": "Sierra de Guadarrama National Park (in Spanish: \"Parque Nacional de la Sierra de Guadarrama\") is a national park in Spain, covering nearly 34,000 hectares, the fifth largest in Spain's national parks system.", "style": "rule" }
{ "index": 7355, "need_tools_kwargs": true, "question": "Which park in Spain is bigger Guadarrama National Park or Atlantic Islands of Galicia National Park?", "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 integer numbers $i, j, k$ satisfying the condition $i^2 + j^2 + k^2 = 2011$, find the largest value of $i + j + k$.", "role": "user" } ]
math
{ "ground_truth": "77", "style": "rule" }
{ "index": 7356, "need_tools_kwargs": true, "question": "For the integer numbers $i, j, k$ satisfying the condition $i^2 + j^2 + k^2 = 2011$, find the largest value of $i + j + k$.", "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 corporation owns the sponsor of the Cork Athletic Union League?", "role": "user" } ]
qa
{ "ground_truth": "Heineken International", "style": "rule" }
{ "index": 7357, "need_tools_kwargs": true, "question": "What corporation owns the sponsor of the Cork Athletic Union League?", "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": "Xiaofan checked the step count on the smartwatch app before going out and found that the step count was a two-digit number. After walking downstairs, he found that the tens digit and the units digit had swapped. When he reached the entrance of the residential area, he found that there was an extra $1$ between the two digits he saw after walking downstairs. He walked a total of $586$ steps from leaving home to the entrance of the residential area. What was the step count he saw when he left home?", "role": "user" } ]
math
{ "ground_truth": "26", "style": "rule" }
{ "index": 7358, "need_tools_kwargs": true, "question": "Xiaofan checked the step count on the smartwatch app before going out and found that the step count was a two-digit number. After walking downstairs, he found that the tens digit and the units digit had swapped. When he reached the entrance of the residential area, he found that there was an extra $1$ between the two digits he saw after walking downstairs. He walked a total of $586$ steps from leaving home to the entrance of the residential area. What was the step count he saw when he left home?", "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": "Christina has 7 snakes. The first snake is 2.4 feet long. The second snake is 16.2 inches long. The third snake is 10.75 inches long. The fourth snake is 50.5 centimeters long. The fifth snake is 0.8 meters long. The sixth snake is 120.35 centimeters long. The last snake is 1.35 yards long. The lengths of the snakes are given in various units: inches, feet, centimeters, meters, and yards. Convert all the lengths to inches and find the combined length of all her snakes in inches.", "role": "user" } ]
math
{ "ground_truth": "203.11", "style": "rule" }
{ "index": 7359, "need_tools_kwargs": true, "question": "Christina has 7 snakes. The first snake is 2.4 feet long. The second snake is 16.2 inches long. The third snake is 10.75 inches long. The fourth snake is 50.5 centimeters long. The fifth snake is 0.8 meters long. The sixth snake is 120.35 centimeters long. The last snake is 1.35 yards long. The lengths of the snakes are given in various units: inches, feet, centimeters, meters, and yards. Convert all the lengths to inches and find the combined length of all her snakes in inches.", "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) = $\\sqrt {2}$sin $\\frac {x}{2}$cos $\\frac {x}{2}$ - $\\sqrt {2}$sin<sup>2</sup> $\\frac {x}{2}$,\n(1) Find the smallest positive period of f(x);\n(2) Find the minimum value of f(x) in the interval [-π, 0].", "role": "user" } ]
math
{ "ground_truth": "-1 - \\frac { \\sqrt {2}}{2}", "style": "rule" }
{ "index": 7360, "need_tools_kwargs": true, "question": "Given the function f(x) = $\\sqrt {2}$sin $\\frac {x}{2}$cos $\\frac {x}{2}$ - $\\sqrt {2}$sin<sup>2</sup> $\\frac {x}{2}$,\n(1) Find the smallest positive period of f(x);\n(2) Find the minimum value of f(x) in the interval [-π, 0].", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who is the spouse of the director of film Road To Rio (1931 Film)?", "role": "user" } ]
qa
{ "ground_truth": "Eva May", "style": "rule" }
{ "index": 7361, "need_tools_kwargs": true, "question": "Who is the spouse of the director of film Road To Rio (1931 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": "Using $n^{3}$ unit cubes, a cube with edge length $n$ is formed $(n \\in \\mathbf{N}, n \\geqslant 2)$. A line is said to pass through a unit cube if it passes through any point inside the unit cube. The maximum number of unit cubes that a single line can pass through is\nA. $3n-2$\nB. $3n-1$\nC. $2n+1$\nD. $2n-1$", "role": "user" } ]
math
{ "ground_truth": "3n - 2", "style": "rule" }
{ "index": 7362, "need_tools_kwargs": true, "question": "Using $n^{3}$ unit cubes, a cube with edge length $n$ is formed $(n \\in \\mathbf{N}, n \\geqslant 2)$. A line is said to pass through a unit cube if it passes through any point inside the unit cube. The maximum number of unit cubes that a single line can pass through is\nA. $3n-2$\nB. $3n-1$\nC. $2n+1$\nD. $2n-1$", "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": "Six rhombi of side length 1 are arranged as shown. What is the perimeter of this figure?", "role": "user" } ]
math
{ "ground_truth": "14", "style": "rule" }
{ "index": 7363, "need_tools_kwargs": true, "question": "Six rhombi of side length 1 are arranged as shown. What is the perimeter of this figure?", "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 Last Summer (1954 Film) die?", "role": "user" } ]
qa
{ "ground_truth": "24 September 1960", "style": "rule" }
{ "index": 7364, "need_tools_kwargs": true, "question": "When did the director of film The Last Summer (1954 Film) 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": "Which film has the director who was born later, No Postage Necessary or Goin' South?", "role": "user" } ]
qa
{ "ground_truth": "No Postage Necessary", "style": "rule" }
{ "index": 7365, "need_tools_kwargs": true, "question": "Which film has the director who was born later, No Postage Necessary or Goin' South?", "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 died first, Rainbow (1944 Film) or The Navy Way?", "role": "user" } ]
qa
{ "ground_truth": "The Navy Way", "style": "rule" }
{ "index": 7366, "need_tools_kwargs": true, "question": "Which film has the director died first, Rainbow (1944 Film) or The Navy Way?", "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 year was the first broadcast of the show which is similar to \"Night of a Thousand Boyfreinds\"?", "role": "user" } ]
qa
{ "ground_truth": "1998", "style": "rule" }
{ "index": 7367, "need_tools_kwargs": true, "question": "What year was the first broadcast of the show which is similar to \"Night of a Thousand Boyfreinds\"?", "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 pentagon is inscribed around a circle. The angles at its vertices are \\( \\alpha \\), \\( \\beta \\), and \\( \\gamma \\). Find the angle \\( \\delta \\).", "role": "user" } ]
math
{ "ground_truth": "108", "style": "rule" }
{ "index": 7368, "need_tools_kwargs": true, "question": "A pentagon is inscribed around a circle. The angles at its vertices are \\( \\alpha \\), \\( \\beta \\), and \\( \\gamma \\). Find the angle \\( \\delta \\).", "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 parochial school did Harry Belafonte attend?", "role": "user" } ]
qa
{ "ground_truth": "St. Charles Borromeo", "style": "rule" }
{ "index": 7369, "need_tools_kwargs": true, "question": "Which parochial school did Harry Belafonte attend?", "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": "对正整数 n,记 D_n 为 n 的正约数全体,f_i(n)(i=1,2) 为集合F_i(n)=\\{a\\in D_n\\ |\\ a\\equiv i\\pmod{4}\\}的元素个数。求最小的正整数 m,使得 2f_1(m)-f_2(m)=2017。答案的形式为 k \\cdot 5^m,请给出 k+m 的值。", "role": "user" } ]
math
{ "ground_truth": "2018", "style": "rule" }
{ "index": 7370, "need_tools_kwargs": true, "question": "对正整数 n,记 D_n 为 n 的正约数全体,f_i(n)(i=1,2) 为集合F_i(n)=\\{a\\in D_n\\ |\\ a\\equiv i\\pmod{4}\\}的元素个数。求最小的正整数 m,使得 2f_1(m)-f_2(m)=2017。答案的形式为 k \\cdot 5^m,请给出 k+m 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": "Who was born first, Alexander Kirilow Drenowski or Dave Hansen (Baseball)?", "role": "user" } ]
qa
{ "ground_truth": "Alexander Kirilow Drenowski", "style": "rule" }
{ "index": 7371, "need_tools_kwargs": true, "question": "Who was born first, Alexander Kirilow Drenowski or Dave Hansen (Baseball)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What was the occupation of Harry Belafonte's mother?", "role": "user" } ]
qa
{ "ground_truth": "Housekeeper", "style": "rule" }
{ "index": 7372, "need_tools_kwargs": true, "question": "What was the occupation of Harry Belafonte's mother?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let $F(z)=\\dfrac{z+i}{z-i}$ for all complex numbers $z\\neq i$ , and let $z_n=F(z_{n-1})$ for all positive integers $n$ . Given that $z_0=\\dfrac{1}{137}+i$ and $z_{2002}=a+bi$ , where $a$ and $b$ are real numbers, find $a+b$ .", "role": "user" } ]
math
{ "ground_truth": "275", "style": "rule" }
{ "index": 7373, "need_tools_kwargs": true, "question": "Let $F(z)=\\dfrac{z+i}{z-i}$ for all complex numbers $z\\neq i$ , and let $z_n=F(z_{n-1})$ for all positive integers $n$ . Given that $z_0=\\dfrac{1}{137}+i$ and $z_{2002}=a+bi$ , where $a$ and $b$ are real numbers, find $a+b$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the place of death of the director of film Huddle (Film)?", "role": "user" } ]
qa
{ "ground_truth": "Hollywood", "style": "rule" }
{ "index": 7374, "need_tools_kwargs": true, "question": "Where was the place of death of the director of film Huddle (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": "Greedy Vovochka has 25 classmates. For his birthday, he brought 200 candies to class. Vovochka's mother, so that he does not eat everything himself, ordered him to distribute the candies in such a way that any 16 of his classmates have at least 100 candies in total. What is the maximum number of candies Vovochka can keep for himself while fulfilling his mother's request?", "role": "user" } ]
math
{ "ground_truth": "37", "style": "rule" }
{ "index": 7375, "need_tools_kwargs": true, "question": "Greedy Vovochka has 25 classmates. For his birthday, he brought 200 candies to class. Vovochka's mother, so that he does not eat everything himself, ordered him to distribute the candies in such a way that any 16 of his classmates have at least 100 candies in total. What is the maximum number of candies Vovochka can keep for himself while fulfilling his mother's request?", "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 comedy film starred Robin Weaver?", "role": "user" } ]
qa
{ "ground_truth": "The Inbetweeners 2", "style": "rule" }
{ "index": 7376, "need_tools_kwargs": true, "question": "What British comedy film starred Robin Weaver?", "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": "Triangle $PQR$ has sides $\\overline{PQ}$, $\\overline{QR}$, and $\\overline{RP}$ of length 20, 21, and 29, respectively. Let $\\gamma$ be the circle circumscribed around $\\triangle PQR$ and let $S$ be the intersection of $\\gamma$ and the perpendicular bisector of $\\overline{PR}$ that is not on the same side of $\\overline{PR}$ as $Q$. The length of $\\overline{PS}$ can be expressed as $a\\sqrt{b}$, where $a$ and $b$ are positive integers and $b$ is not divisible by the square of any prime. Find the greatest integer less than or equal to $a + \\sqrt{b}$.", "role": "user" } ]
math
{ "ground_truth": "100", "style": "rule" }
{ "index": 7377, "need_tools_kwargs": true, "question": "Triangle $PQR$ has sides $\\overline{PQ}$, $\\overline{QR}$, and $\\overline{RP}$ of length 20, 21, and 29, respectively. Let $\\gamma$ be the circle circumscribed around $\\triangle PQR$ and let $S$ be the intersection of $\\gamma$ and the perpendicular bisector of $\\overline{PR}$ that is not on the same side of $\\overline{PR}$ as $Q$. The length of $\\overline{PS}$ can be expressed as $a\\sqrt{b}$, where $a$ and $b$ are positive integers and $b$ is not divisible by the square of any prime. Find the greatest integer less than or equal to $a + \\sqrt{b}$.", "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": "In what year was the actor who was starred in the 1973 film \"Voices\" with Gayle Hunnicutt and Lynn Farleigh born?", "role": "user" } ]
qa
{ "ground_truth": "1941", "style": "rule" }
{ "index": 7378, "need_tools_kwargs": true, "question": "In what year was the actor who was starred in the 1973 film \"Voices\" with Gayle Hunnicutt and Lynn Farleigh 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": "Who is younger, William Freshman or Reggie Spooner?", "role": "user" } ]
qa
{ "ground_truth": "William Freshman", "style": "rule" }
{ "index": 7379, "need_tools_kwargs": true, "question": "Who is younger, William Freshman or Reggie Spooner?", "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 Stephen Dixon (ice hockey) and Otto Perry from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 7380, "need_tools_kwargs": true, "question": "Were Stephen Dixon (ice hockey) and Otto Perry from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the equation $\\frac {x(x - 1) - (m + 1)}{(x - 1)(m - 1)} = \\frac {x}{m}$ the roots are equal when \n$\\textbf{(A)}\\ m = 1\\qquad\\textbf{(B)}\\ m =\\frac{1}{2}\\qquad\\textbf{(C)}\\ m = 0\\qquad\\textbf{(D)}\\ m =-1\\qquad\\textbf{(E)}\\ m =-\\frac{1}{2}$", "role": "user" } ]
math
{ "ground_truth": "m = -\\frac{1}{2}", "style": "rule" }
{ "index": 7381, "need_tools_kwargs": true, "question": "In the equation $\\frac {x(x - 1) - (m + 1)}{(x - 1)(m - 1)} = \\frac {x}{m}$ the roots are equal when \n$\\textbf{(A)}\\ m = 1\\qquad\\textbf{(B)}\\ m =\\frac{1}{2}\\qquad\\textbf{(C)}\\ m = 0\\qquad\\textbf{(D)}\\ m =-1\\qquad\\textbf{(E)}\\ m =-\\frac{1}{2}$", "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": "Southeastern Illinois College offers an undergraduate academic degree considered to be greater level of education than what?", "role": "user" } ]
qa
{ "ground_truth": "high school diploma or GED", "style": "rule" }
{ "index": 7382, "need_tools_kwargs": true, "question": "Southeastern Illinois College offers an undergraduate academic degree considered to be greater level of education than what?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The actor who played Harry H. Corbett in The Curse of Steptoe also played which character in the Harry Potter films?", "role": "user" } ]
qa
{ "ground_truth": "Lucius Malfoy", "style": "rule" }
{ "index": 7383, "need_tools_kwargs": true, "question": "The actor who played Harry H. Corbett in The Curse of Steptoe also played which character in the Harry Potter films?", "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": "求所有整数 n\\geq2,使得存在 n 个互不相同的正整数 w_1, w_2, \\cdots, w_n,满足对任意 1\\leq k\\leq n,当去掉 w_k 时,剩下的数可分成和相等的两组(两组的个数可以不同)。答案的形式为2k+5,其中k为非负整数,请给出满足条件的最小k值。", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 7384, "need_tools_kwargs": true, "question": "求所有整数 n\\geq2,使得存在 n 个互不相同的正整数 w_1, w_2, \\cdots, w_n,满足对任意 1\\leq k\\leq n,当去掉 w_k 时,剩下的数可分成和相等的两组(两组的个数可以不同)。答案的形式为2k+5,其中k为非负整数,请给出满足条件的最小k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": "Given two skew lines \\(a\\) and \\(b\\) that form a \\(60^\\circ\\) angle and have a common perpendicular segment \\(EF\\) with \\(|EF| = 2\\). The length of the segment \\(AB\\) is 4, with endpoints \\(A\\) and \\(B\\) moving on \\(a\\) and \\(b\\) respectively. Find the equation of the locus of the midpoint \\(P\\) of the segment \\(AB\\).", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 7385, "need_tools_kwargs": true, "question": "Given two skew lines \\(a\\) and \\(b\\) that form a \\(60^\\circ\\) angle and have a common perpendicular segment \\(EF\\) with \\(|EF| = 2\\). The length of the segment \\(AB\\) is 4, with endpoints \\(A\\) and \\(B\\) moving on \\(a\\) and \\(b\\) respectively. Find the equation of the locus of the midpoint \\(P\\) of the segment \\(AB\\).", "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": "With which company did this American singer, songwriter, actor, and rapper born in 1989, with whom Joe Jonas collaborated, sign with in 2004?", "role": "user" } ]
qa
{ "ground_truth": "Jive Records", "style": "rule" }
{ "index": 7386, "need_tools_kwargs": true, "question": "With which company did this American singer, songwriter, actor, and rapper born in 1989, with whom Joe Jonas collaborated, sign with in 2004?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "已知 $0<k<4$, 直线 $l_{1}: k x-2 y-2 k+$ $8=0$ 和直线 $l_{2}: 2 x+k^{2} y-4 k^{2}-4=0$ 与两坐标轴围成一个四边形。求使这个四边形面积最小的 $k$ 值。原始答案是以\\(\\frac{a}{b}\\)的形式给出的,请给出a+b的值。", "role": "user" } ]
math
{ "ground_truth": "9", "style": "rule" }
{ "index": 7387, "need_tools_kwargs": true, "question": "已知 $0<k<4$, 直线 $l_{1}: k x-2 y-2 k+$ $8=0$ 和直线 $l_{2}: 2 x+k^{2} y-4 k^{2}-4=0$ 与两坐标轴围成一个四边形。求使这个四边形面积最小的 $k$ 值。原始答案是以\\(\\frac{a}{b}\\)的形式给出的,请给出a+b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": "Which band, founded in 1991, took influences from another band formed in Leyton, East London with bassist Steve Harris?", "role": "user" } ]
qa
{ "ground_truth": "Prospect", "style": "rule" }
{ "index": 7388, "need_tools_kwargs": true, "question": "Which band, founded in 1991, took influences from another band formed in Leyton, East London with bassist Steve Harris?", "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 the greatest integer multiple of 9, no two of whose digits are the same. What is the remainder when $M$ is divided by 100?", "role": "user" } ]
math
{ "ground_truth": "81", "style": "rule" }
{ "index": 7389, "need_tools_kwargs": true, "question": "Let $M$ be the greatest integer multiple of 9, no two of whose digits are the same. What is the remainder when $M$ is divided by 100?", "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 $n$ be a fixed positive integer. For integer $m$ satisfying $|m| \\le n$, define \n\\[ S_m = \\sum_{\\substack{i-j=m \\\\ 0 \\le i,j \\le n}} \\frac{1}{2^{i+j}}. \\]\nThen \n\\[ \\lim_{n\\to \\infty} \\left( S_{-n}^2 + S_{-n+1}^2 + \\ldots + S_n^2 \\right) \\]\ncan be expressed in the form $\\frac{p}{q}$ for relatively prime positive integers $p, q$. Compute $100p + q$.", "role": "user" } ]
math
{ "ground_truth": "8027", "style": "rule" }
{ "index": 7390, "need_tools_kwargs": true, "question": "Let $n$ be a fixed positive integer. For integer $m$ satisfying $|m| \\le n$, define \n\\[ S_m = \\sum_{\\substack{i-j=m \\\\ 0 \\le i,j \\le n}} \\frac{1}{2^{i+j}}. \\]\nThen \n\\[ \\lim_{n\\to \\infty} \\left( S_{-n}^2 + S_{-n+1}^2 + \\ldots + S_n^2 \\right) \\]\ncan be expressed in the form $\\frac{p}{q}$ for relatively prime positive integers $p, q$. Compute $100p + q$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Determine the smallest and largest values of the natural number $n$ for which there are exactly 100 natural numbers between $0.5n$ and $0.6n$.", "role": "user" } ]
math
{ "ground_truth": "1010", "style": "rule" }
{ "index": 7391, "need_tools_kwargs": true, "question": "Determine the smallest and largest values of the natural number $n$ for which there are exactly 100 natural numbers between $0.5n$ and $0.6n$.", "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": "Ted loves creating haikus (Japanese three-line poems with $5$, $7$, $5$ syllables each), but his vocabulary is rather limited. For integers $1 \\le n \\le 7$, he knows $2n$ words with $n$ syllables. Words cannot cross between lines but may be repeated. Compute the number of distinct haikus Ted can make, and find the remainder when this number is divided by $100$.", "role": "user" } ]
math
{ "ground_truth": "28", "style": "rule" }
{ "index": 7392, "need_tools_kwargs": true, "question": "Ted loves creating haikus (Japanese three-line poems with $5$, $7$, $5$ syllables each), but his vocabulary is rather limited. For integers $1 \\le n \\le 7$, he knows $2n$ words with $n$ syllables. Words cannot cross between lines but may be repeated. Compute the number of distinct haikus Ted can make, and find the remainder when this number is divided by $100$.", "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 Poet Laureate of the United Kingdom wrote a novel in 1948 that featured illustrations by who?", "role": "user" } ]
qa
{ "ground_truth": "Edward Ardizzone", "style": "rule" }
{ "index": 7393, "need_tools_kwargs": true, "question": "The Poet Laureate of the United Kingdom wrote a novel in 1948 that featured illustrations by who?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are director of film Skyscraper (1928 Film) and director of film Little Miss Broadway from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 7394, "need_tools_kwargs": true, "question": "Are director of film Skyscraper (1928 Film) and director of film Little Miss Broadway 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": "Square $ABCD$ has side length $s$, a circle centered at $E$ has radius $r$, and $r$ and $s$ are both rational. The circle passes through $D$, and $D$ lies on $\\overline{BE}$. Point $F$ lies on the circle, on the same side of $\\overline{BE}$ as $A$. Segment $AF$ is tangent to the circle, and $AF=\\sqrt{9+5\\sqrt{2}}$. What is $r/s$?\n\n[asy]\npair A,B,C,D,I,F;\nA=(0,10); B=(0,0); C=(10,0); D=(10,10);\n\nI=(14,13); F=(11,17);\ndraw(A--B--C--D--cycle,linewidth(0.7));\ndraw(Circle(I,5),linewidth(0.7));\ndraw(A--F,linewidth(0.7));\nlabel(\"$A$\",A,NW);\nlabel(\"$B$\",B,SW);\nlabel(\"$C$\",C,SE);\nlabel(\"$D$\",D,SW);\nlabel(\"$F$\",F,N);\nlabel(\"$E$\",I,E);\ndot(I);\n[/asy]The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.", "role": "user" } ]
math
{ "ground_truth": "14", "style": "rule" }
{ "index": 7395, "need_tools_kwargs": true, "question": "Square $ABCD$ has side length $s$, a circle centered at $E$ has radius $r$, and $r$ and $s$ are both rational. The circle passes through $D$, and $D$ lies on $\\overline{BE}$. Point $F$ lies on the circle, on the same side of $\\overline{BE}$ as $A$. Segment $AF$ is tangent to the circle, and $AF=\\sqrt{9+5\\sqrt{2}}$. What is $r/s$?\n\n[asy]\npair A,B,C,D,I,F;\nA=(0,10); B=(0,0); C=(10,0); D=(10,10);\n\nI=(14,13); F=(11,17);\ndraw(A--B--C--D--cycle,linewidth(0.7));\ndraw(Circle(I,5),linewidth(0.7));\ndraw(A--F,linewidth(0.7));\nlabel(\"$A$\",A,NW);\nlabel(\"$B$\",B,SW);\nlabel(\"$C$\",C,SE);\nlabel(\"$D$\",D,SW);\nlabel(\"$F$\",F,N);\nlabel(\"$E$\",I,E);\ndot(I);\n[/asy]The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When did the director of film Chor Police die?", "role": "user" } ]
qa
{ "ground_truth": "27 July 1992", "style": "rule" }
{ "index": 7396, "need_tools_kwargs": true, "question": "When did the director of film Chor Police 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 slogan of the airline that has one of its hubs in Sir Captain Charles Kirkconnell International Airport ?", "role": "user" } ]
qa
{ "ground_truth": "Those who fly us love us", "style": "rule" }
{ "index": 7397, "need_tools_kwargs": true, "question": "what is the slogan of the airline that has one of its hubs in Sir Captain Charles Kirkconnell International Airport ?", "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": "During the 2005 All-Pacific-10 Conference season, the Pat Tillman Pac-10 Co-Defensive Players of the Year award was given to Dale Robinson and a man that current plays for what NFL team?", "role": "user" } ]
qa
{ "ground_truth": "Detroit Lions", "style": "rule" }
{ "index": 7398, "need_tools_kwargs": true, "question": "During the 2005 All-Pacific-10 Conference season, the Pat Tillman Pac-10 Co-Defensive Players of the Year award was given to Dale Robinson and a man that current plays for what NFL team?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What year was the county founded that includes Big Card, Kentucky?", "role": "user" } ]
qa
{ "ground_truth": "1821", "style": "rule" }
{ "index": 7399, "need_tools_kwargs": true, "question": "What year was the county founded that includes Big Card, Kentucky?", "split": "train" }
null