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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": "Which film has the director who is older than the other, A Time To Kill (1996 Film) or Border Law? ", "role": "user" } ]
qa
{ "ground_truth": "Border Law", "style": "rule" }
{ "index": 4000, "need_tools_kwargs": true, "question": "Which film has the director who is older than the other, A Time To Kill (1996 Film) or Border Law? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "On the board, there are natural numbers from 1 to 1000, each written once. Vasya can erase any two numbers and write one of the following in their place: their greatest common divisor or their least common multiple. After 999 such operations, one number remains on the board, which is equal to a natural power of ten. What is the maximum value it can take?", "role": "user" } ]
math
{ "ground_truth": "10000", "style": "rule" }
{ "index": 4001, "need_tools_kwargs": true, "question": "On the board, there are natural numbers from 1 to 1000, each written once. Vasya can erase any two numbers and write one of the following in their place: their greatest common divisor or their least common multiple. After 999 such operations, one number remains on the board, which is equal to a natural power of ten. What is the maximum value it can take?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Solve the inequality: $\\frac{x-1}{2}+1<\\frac{4x-5}{3}$.", "role": "user" } ]
math
{ "ground_truth": "x>\\frac{13}{5}", "style": "rule" }
{ "index": 4002, "need_tools_kwargs": true, "question": "Solve the inequality: $\\frac{x-1}{2}+1<\\frac{4x-5}{3}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Our club has $25$ members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers, if individual members are allowed to hold $2,$ but not all $3,$ offices? Please provide the total number of ways as an integer.", "role": "user" } ]
math
{ "ground_truth": "15600", "style": "rule" }
{ "index": 4003, "need_tools_kwargs": true, "question": "Our club has $25$ members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers, if individual members are allowed to hold $2,$ but not all $3,$ offices? Please provide the total number of ways as an integer.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 bound did the singer of Thinking of You co-found?", "role": "user" } ]
qa
{ "ground_truth": "Chic", "style": "rule" }
{ "index": 4004, "need_tools_kwargs": true, "question": "What bound did the singer of Thinking of You co-found?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "2012: Time for Change is a 2010 feature-length documentary film that features a Canadian actress who won the Austin Film Critics Association's Award for Best Actress in what film?", "role": "user" } ]
qa
{ "ground_truth": "Hard Candy", "style": "rule" }
{ "index": 4005, "need_tools_kwargs": true, "question": "2012: Time for Change is a 2010 feature-length documentary film that features a Canadian actress who won the Austin Film Critics Association's Award for Best Actress in what 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": "The \"Fifth Beatle\" recorded an album in 1964 with his what?", "role": "user" } ]
qa
{ "ground_truth": "Orchestra", "style": "rule" }
{ "index": 4006, "need_tools_kwargs": true, "question": "The \"Fifth Beatle\" recorded an album in 1964 with his 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": "Equilateral triangle $DEF$ is inscribed inside equilateral triangle $ABC$ such that $DE$ is perpendicular to $BC$. Let $x$ be the area of triangle $ABC$ and $y$ be the area of triangle $DEF$. Compute $\\frac{x}{y}$.", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "index": 4007, "need_tools_kwargs": true, "question": "Equilateral triangle $DEF$ is inscribed inside equilateral triangle $ABC$ such that $DE$ is perpendicular to $BC$. Let $x$ be the area of triangle $ABC$ and $y$ be the area of triangle $DEF$. Compute $\\frac{x}{y}$.", "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": "The plane region represented by the inequality $|2x + y + m| < 3$ includes the points $(0,0)$ and $(-1,1)$. The range of possible values for $m$ is ___.\nA: $-2 < m < 3$\nB: $0 < m < 6$\nC: $-3 < m < 6$\nD: $0 < m < 3$", "role": "user" } ]
math
{ "ground_truth": "-2 < m < 3", "style": "rule" }
{ "index": 4008, "need_tools_kwargs": true, "question": "The plane region represented by the inequality $|2x + y + m| < 3$ includes the points $(0,0)$ and $(-1,1)$. The range of possible values for $m$ is ___.\nA: $-2 < m < 3$\nB: $0 < m < 6$\nC: $-3 < m < 6$\nD: $0 < m < 3$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the place of death of the director of film Master Stroke?", "role": "user" } ]
qa
{ "ground_truth": "Rome", "style": "rule" }
{ "index": 4009, "need_tools_kwargs": true, "question": "Where was the place of death of the director of film Master Stroke?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Veronique Peck's husband?", "role": "user" } ]
qa
{ "ground_truth": "June 12, 2003", "style": "rule" }
{ "index": 4010, "need_tools_kwargs": true, "question": "What is the date of death of Veronique Peck's husband?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which film has the director who died earlier, The Sawdust Paradise or The Kaiser'S Shadow?", "role": "user" } ]
qa
{ "ground_truth": "The Kaiser'S Shadow", "style": "rule" }
{ "index": 4011, "need_tools_kwargs": true, "question": "Which film has the director who died earlier, The Sawdust Paradise or The Kaiser'S Shadow?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 how many positive integers $n$ does $1+2+\\cdots+n$ evenly divide $10n$?", "role": "user" } ]
math
{ "ground_truth": "n=1, 3, 4, 9, 19", "style": "rule" }
{ "index": 4012, "need_tools_kwargs": true, "question": "For how many positive integers $n$ does $1+2+\\cdots+n$ evenly divide $10n$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 how many ways is it possible to arrange the digits of 1150 to get a four-digit multiple of 5?", "role": "user" } ]
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 4013, "need_tools_kwargs": true, "question": "In how many ways is it possible to arrange the digits of 1150 to get a four-digit multiple of 5?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 natural numbers \\( k \\) and \\( n \\) if it is known that\n\n\\[\nk n^{2} - k n - n^{2} + n = 94\n\\]", "role": "user" } ]
math
{ "ground_truth": "(k, n) = (48, 2)", "style": "rule" }
{ "index": 4014, "need_tools_kwargs": true, "question": "Find natural numbers \\( k \\) and \\( n \\) if it is known that\n\n\\[\nk n^{2} - k n - n^{2} + n = 94\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 Namma Veettu Lakshmi die?", "role": "user" } ]
qa
{ "ground_truth": "8 October 1974", "style": "rule" }
{ "index": 4015, "need_tools_kwargs": true, "question": "When did the director of film Namma Veettu Lakshmi 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": "When did the director of film Trouble With Trixie die?", "role": "user" } ]
qa
{ "ground_truth": "23 July 2006", "style": "rule" }
{ "index": 4016, "need_tools_kwargs": true, "question": "When did the director of film Trouble With Trixie 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 date of death of the director of film Celluloide?", "role": "user" } ]
qa
{ "ground_truth": "5 October 2013", "style": "rule" }
{ "index": 4017, "need_tools_kwargs": true, "question": "What is the date of death of the director of film Celluloide?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the composer of song Signs Of Life (Instrumental)?", "role": "user" } ]
qa
{ "ground_truth": "British", "style": "rule" }
{ "index": 4018, "need_tools_kwargs": true, "question": "What nationality is the composer of song Signs Of Life (Instrumental)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 are 5 bamboo poles, their lengths (in meters) are 2.5, 2.6, 2.7, 2.8, and 2.9, respectively. If two bamboo poles are randomly selected at once, the probability that their lengths differ exactly by 0.3 m is ______.", "role": "user" } ]
math
{ "ground_truth": "0.2", "style": "rule" }
{ "index": 4019, "need_tools_kwargs": true, "question": "There are 5 bamboo poles, their lengths (in meters) are 2.5, 2.6, 2.7, 2.8, and 2.9, respectively. If two bamboo poles are randomly selected at once, the probability that their lengths differ exactly by 0.3 m 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": "Given the sequence \\(a_{1}=1\\), \\(a_{2}=\\frac{5}{3}\\), and the recurrence relation \\(a_{n+2}=\\frac{5}{3}a_{n+1}-\\frac{2}{3}a_{n}\\) for \\( n \\in \\mathbf{N}^{*}\\), find the general term \\(a_{n}\\) of the sequence \\(\\{a_{n}\\}\\).", "role": "user" } ]
math
{ "ground_truth": "a_{n}= 2 - \\frac{3}{2} \\left(\\frac{2}{3}\\right)^n", "style": "rule" }
{ "index": 4020, "need_tools_kwargs": true, "question": "Given the sequence \\(a_{1}=1\\), \\(a_{2}=\\frac{5}{3}\\), and the recurrence relation \\(a_{n+2}=\\frac{5}{3}a_{n+1}-\\frac{2}{3}a_{n}\\) for \\( n \\in \\mathbf{N}^{*}\\), find the general term \\(a_{n}\\) of the sequence \\(\\{a_{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 segment \\( PQ \\) is divided into several smaller segments. On each of them, a square is constructed (see illustration).\n\nWhat is the length of the path along the arrows if the length of the segment \\( PQ \\) is 73? If necessary, round your answer to 0.01 or write the answer as a common fraction.", "role": "user" } ]
math
{ "ground_truth": "219", "style": "rule" }
{ "index": 4021, "need_tools_kwargs": true, "question": "The segment \\( PQ \\) is divided into several smaller segments. On each of them, a square is constructed (see illustration).\n\nWhat is the length of the path along the arrows if the length of the segment \\( PQ \\) is 73? If necessary, round your answer to 0.01 or write the answer as a common fraction.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Brady plc's clients include the world's second largest what?", "role": "user" } ]
qa
{ "ground_truth": "private oil trader", "style": "rule" }
{ "index": 4022, "need_tools_kwargs": true, "question": "Brady plc's clients include the world's second largest 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": "What is the date of death of the director of film Navy Blues (1937 Film)?", "role": "user" } ]
qa
{ "ground_truth": "October 22, 1969", "style": "rule" }
{ "index": 4023, "need_tools_kwargs": true, "question": "What is the date of death of the director of film Navy Blues (1937 Film)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the singer who released the album Enamorada born ?", "role": "user" } ]
qa
{ "ground_truth": "Veracruz, Mexico,", "style": "rule" }
{ "index": 4024, "need_tools_kwargs": true, "question": "Where was the singer who released the album Enamorada born ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the performer of song Church, I'M Fully Saved To-Day?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 4025, "need_tools_kwargs": true, "question": "What nationality is the performer of song Church, I'M Fully Saved To-Day?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let \\( A B C D E F \\) be a regular hexagon of area 1. Let \\( M \\) be the midpoint of \\( D E \\). Let \\( X \\) be the intersection of \\( A C \\) and \\( B M \\), let \\( Y \\) be the intersection of \\( B F \\) and \\( A M \\), and let \\( Z \\) be the intersection of \\( A C \\) and \\( B F \\). If \\([P]\\) denotes the area of polygon \\( P \\) for any polygon \\( P \\) in the plane, evaluate \\([B X C] + [A Y F] + [A B Z] - [M X Z Y]\\).", "role": "user" } ]
math
{ "ground_truth": "0", "style": "rule" }
{ "index": 4026, "need_tools_kwargs": true, "question": "Let \\( A B C D E F \\) be a regular hexagon of area 1. Let \\( M \\) be the midpoint of \\( D E \\). Let \\( X \\) be the intersection of \\( A C \\) and \\( B M \\), let \\( Y \\) be the intersection of \\( B F \\) and \\( A M \\), and let \\( Z \\) be the intersection of \\( A C \\) and \\( B F \\). If \\([P]\\) denotes the area of polygon \\( P \\) for any polygon \\( P \\) in the plane, evaluate \\([B X C] + [A Y F] + [A B Z] - [M X Z 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": "Where was the place of death of the director of film Code Of The Lawless?", "role": "user" } ]
qa
{ "ground_truth": "Hollywood", "style": "rule" }
{ "index": 4027, "need_tools_kwargs": true, "question": "Where was the place of death of the director of film Code Of The Lawless?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Ada is playing a game consisting of three vertical rods on which disks of different sizes can be stacked. In the initial configuration, $n$ disks are stacked on the leftmost rod, with the largest disk at the base and the others stacked in decreasing size order up to the top. Ada can move the disks from one rod to another following two rules: she can only move one disk at a time, and she cannot place a disk on top of a smaller disk. Can Ada successfully move all the disks to the rightmost rod? If so, what is the minimal number of moves required?", "role": "user" } ]
math
{ "ground_truth": "31", "style": "rule" }
{ "index": 4028, "need_tools_kwargs": true, "question": "Ada is playing a game consisting of three vertical rods on which disks of different sizes can be stacked. In the initial configuration, $n$ disks are stacked on the leftmost rod, with the largest disk at the base and the others stacked in decreasing size order up to the top. Ada can move the disks from one rod to another following two rules: she can only move one disk at a time, and she cannot place a disk on top of a smaller disk. Can Ada successfully move all the disks to the rightmost rod? If so, what is the minimal number of moves required?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Lasteika and Johovac (Doboj) both located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 4029, "need_tools_kwargs": true, "question": "Are Lasteika and Johovac (Doboj) both located in the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given that $θ∈[0,π]$, find the probability that $\\sin (θ+ \\frac {π}{3}) < \\frac {1}{2}$.", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{2}", "style": "rule" }
{ "index": 4030, "need_tools_kwargs": true, "question": "Given that $θ∈[0,π]$, find the probability that $\\sin (θ+ \\frac {π}{3}) < \\frac {1}{2}$.", "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": "Yoque borrowed money from her sister. She promised to pay it back in 11 months including an additional 10% of the money she borrowed. If she pays $15 per month, how much money did she borrow?", "role": "user" } ]
math
{ "ground_truth": "\\$150", "style": "rule" }
{ "index": 4031, "need_tools_kwargs": true, "question": "Yoque borrowed money from her sister. She promised to pay it back in 11 months including an additional 10% of the money she borrowed. If she pays $15 per month, how much money did she borrow?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a specific year, a \"prime date\" occurs when both the month and the day are prime numbers. Determine the total number of prime dates in a non-leap year where February has 28 days, and March, May, and July have 31 days, while November has 30 days.", "role": "user" } ]
math
{ "ground_truth": "52", "style": "rule" }
{ "index": 4032, "need_tools_kwargs": true, "question": "In a specific year, a \"prime date\" occurs when both the month and the day are prime numbers. Determine the total number of prime dates in a non-leap year where February has 28 days, and March, May, and July have 31 days, while November has 30 days.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 visual difference between The Lion King and A Far Off Place?", "role": "user" } ]
qa
{ "ground_truth": "computer-animated epic musical drama", "style": "rule" }
{ "index": 4033, "need_tools_kwargs": true, "question": "What is the visual difference between The Lion King and A Far Off Place?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Federation of Indian Airlines member is owned by what Indian business conglomerate?", "role": "user" } ]
qa
{ "ground_truth": "Wadia Group", "style": "rule" }
{ "index": 4034, "need_tools_kwargs": true, "question": "This Federation of Indian Airlines member is owned by what Indian business conglomerate?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 musician is older, Chad Smith of the Red Hot Chili Peppers, or David Vanian of The Damned?", "role": "user" } ]
qa
{ "ground_truth": "Dave Vanian", "style": "rule" }
{ "index": 4035, "need_tools_kwargs": true, "question": "Which musician is older, Chad Smith of the Red Hot Chili Peppers, or David Vanian of The Damned?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Elements of what play was based on Henry VIII's' unconsummated marriage to his fourth wife Anne of Cleves?", "role": "user" } ]
qa
{ "ground_truth": "The Play of Wit and Science", "style": "rule" }
{ "index": 4036, "need_tools_kwargs": true, "question": "Elements of what play was based on Henry VIII's' unconsummated marriage to his fourth wife Anne of Cleves?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song I'Ve Got My Captain Working For Me Now die?", "role": "user" } ]
qa
{ "ground_truth": "October 23, 1950", "style": "rule" }
{ "index": 4037, "need_tools_kwargs": true, "question": "When did the performer of song I'Ve Got My Captain Working For Me Now 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": "How large is the shipyard where the USS Mahan was built ?", "role": "user" } ]
qa
{ "ground_truth": "638 acre", "style": "rule" }
{ "index": 4038, "need_tools_kwargs": true, "question": "How large is the shipyard where the USS Mahan was built ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 24-hour digital clock shows the time in hours and minutes. Determine how many times in one day the clock will display all four digits 2, 0, 1, and 9 in some order.", "role": "user" } ]
math
{ "ground_truth": "10", "style": "rule" }
{ "index": 4039, "need_tools_kwargs": true, "question": "A 24-hour digital clock shows the time in hours and minutes. Determine how many times in one day the clock will display all four digits 2, 0, 1, and 9 in some order.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 frog starts climbing from the bottom of a 12-meter deep well at 8:00. The frog climbs 3 meters and then slips down 1 meter. The time it takes to slip down 1 meter is one-third of the time it takes to climb 3 meters. At 8:17, the frog reaches 3 meters from the top of the well for the second time. Calculate the total time the frog spends to climb from the bottom of the well to the top.", "role": "user" } ]
math
{ "ground_truth": "20", "style": "rule" }
{ "index": 4040, "need_tools_kwargs": true, "question": "A frog starts climbing from the bottom of a 12-meter deep well at 8:00. The frog climbs 3 meters and then slips down 1 meter. The time it takes to slip down 1 meter is one-third of the time it takes to climb 3 meters. At 8:17, the frog reaches 3 meters from the top of the well for the second time. Calculate the total time the frog spends to climb from the bottom of the well to the top.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Convert the base-3 expression \\( 12112211122211112222_3 \\) to its decimal (base 10) equivalent. Then, find the first digit on the left in the base-9 expression of \\( x \\), where \\( x \\) is the result of dividing the decimal equivalent by 33.67.", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 4041, "need_tools_kwargs": true, "question": "Convert the base-3 expression \\( 12112211122211112222_3 \\) to its decimal (base 10) equivalent. Then, find the first digit on the left in the base-9 expression of \\( x \\), where \\( x \\) is the result of dividing the decimal equivalent by 33.67.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $x$ such that $\\sqrt{4 - 2x + x^2} = 9$.", "role": "user" } ]
math
{ "ground_truth": "x = 1 + \\sqrt{78}, \\, x = 1 - \\sqrt{78}", "style": "rule" }
{ "index": 4042, "need_tools_kwargs": true, "question": "Find the value of $x$ such that $\\sqrt{4 - 2x + x^2} = 9$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "$f$ is a function defined on integers and satisfies $f(x) + f(x+3) = x^2$ for every integer $x$. If $f(19) = 94$, then calculate $f(94)$.", "role": "user" } ]
math
{ "ground_truth": "4335", "style": "rule" }
{ "index": 4043, "need_tools_kwargs": true, "question": "$f$ is a function defined on integers and satisfies $f(x) + f(x+3) = x^2$ for every integer $x$. If $f(19) = 94$, then calculate $f(94)$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are both Houston Academy For International Studies and Royal St. George'S College located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 4044, "need_tools_kwargs": true, "question": "Are both Houston Academy For International Studies and Royal St. George'S College 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": "A store sells a type of notebook. The retail price for each notebook is 0.30 yuan, a dozen (12 notebooks) is priced at 3.00 yuan, and for purchases of more than 10 dozen, each dozen can be paid for at 2.70 yuan. \n(1) There are 57 students in the ninth grade class 1, and each student needs one notebook of this type. What is the minimum amount the class has to pay if they buy these notebooks collectively? \n(2) There are 227 students in the ninth grade, and each student needs one notebook of this type. What is the minimum amount the grade has to pay if they buy these notebooks collectively?", "role": "user" } ]
math
{ "ground_truth": "51.30", "style": "rule" }
{ "index": 4045, "need_tools_kwargs": true, "question": "A store sells a type of notebook. The retail price for each notebook is 0.30 yuan, a dozen (12 notebooks) is priced at 3.00 yuan, and for purchases of more than 10 dozen, each dozen can be paid for at 2.70 yuan. \n(1) There are 57 students in the ninth grade class 1, and each student needs one notebook of this type. What is the minimum amount the class has to pay if they buy these notebooks collectively? \n(2) There are 227 students in the ninth grade, and each student needs one notebook of this type. What is the minimum amount the grade has to pay if they buy these notebooks collectively?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 long is the bridge that is commemorated during the annual Bridge Day festival in Fayette County, West Virginia?", "role": "user" } ]
qa
{ "ground_truth": "3030 ft", "style": "rule" }
{ "index": 4046, "need_tools_kwargs": true, "question": "How long is the bridge that is commemorated during the annual Bridge Day festival in Fayette County, West Virginia?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x) = e^x(e^x - a) - a^2x$.\n(1) Discuss the monotonicity of $f(x)$;\n(2) If $f(x) \\geq 0$, find the range of values for $a$.", "role": "user" } ]
math
{ "ground_truth": "[-2e^{\\frac{3}{4}}, 1]", "style": "rule" }
{ "index": 4047, "need_tools_kwargs": true, "question": "Given the function $f(x) = e^x(e^x - a) - a^2x$.\n(1) Discuss the monotonicity of $f(x)$;\n(2) If $f(x) \\geq 0$, find the range of values for $a$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a convex quadrilateral \\(ABCD\\), the diagonals \\(AC\\) and \\(BD\\) have lengths of 3 and 4 respectively, and they intersect at an angle of \\(75^\\circ\\). Calculate the sum of the squares of the lengths of the line segments that connect the midpoints of opposite sides of the quadrilateral.", "role": "user" } ]
math
{ "ground_truth": "12.5", "style": "rule" }
{ "index": 4048, "need_tools_kwargs": true, "question": "In a convex quadrilateral \\(ABCD\\), the diagonals \\(AC\\) and \\(BD\\) have lengths of 3 and 4 respectively, and they intersect at an angle of \\(75^\\circ\\). Calculate the sum of the squares of the lengths of the line segments that connect the midpoints of opposite sides of the quadrilateral.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 birth name of the lyric writer for the 1941 Bollywood film Jhoola?", "role": "user" } ]
qa
{ "ground_truth": "Ramchandra Narayanji Dwivedi", "style": "rule" }
{ "index": 4049, "need_tools_kwargs": true, "question": "What was the birth name of the lyric writer for the 1941 Bollywood film Jhoola?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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(x)\\) be a real-valued function satisfying \\(af(x) + bf(-x) = px^2 + qx + r\\). Here, \\(a\\) and \\(b\\) are distinct real numbers, and \\(p\\), \\(q\\), \\(r\\) are non-zero real numbers. Determine the condition under which \\(f(x) = 0\\) will have real solutions. The original answer is in the form \\(\\left(\\frac{k(a+b)}{m(a-b)}\\right) \\leq \\frac{q^2}{4pr}\\). Please provide the value of \\(k + m\\).", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 4050, "need_tools_kwargs": true, "question": "Let \\(f(x)\\) be a real-valued function satisfying \\(af(x) + bf(-x) = px^2 + qx + r\\). Here, \\(a\\) and \\(b\\) are distinct real numbers, and \\(p\\), \\(q\\), \\(r\\) are non-zero real numbers. Determine the condition under which \\(f(x) = 0\\) will have real solutions. The original answer is in the form \\(\\left(\\frac{k(a+b)}{m(a-b)}\\right) \\leq \\frac{q^2}{4pr}\\). Please provide the value of \\(k + m\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are The Dalton Gang (Film) and The Yellow Ticket from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 4051, "need_tools_kwargs": true, "question": "Are The Dalton Gang (Film) and The Yellow Ticket from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "If $a$, $b$, $c$, and $d$ are the solutions of the equation $x^4 - bx - 3 = 0$, then an equation whose solutions are \n\\[\\dfrac {a + b + c}{d^2}, \\dfrac {a + b + d}{c^2}, \\dfrac {a + c + d}{b^2}, \\dfrac {b + c + d}{a^2}\\]is\n$\\textbf{(A)}\\ 3x^4 + bx + 1 = 0\\qquad \\textbf{(B)}\\ 3x^4 - bx + 1 = 0\\qquad \\textbf{(C)}\\ 3x^4 + bx^3 - 1 = 0\\qquad \\\\\\textbf{(D)}\\ 3x^4 - bx^3 - 1 = 0\\qquad \\textbf{(E)}\\ \\text{none of these}$", "role": "user" } ]
math
{ "ground_truth": "3x^4 - bx^3 -1 = 0", "style": "rule" }
{ "index": 4052, "need_tools_kwargs": true, "question": "If $a$, $b$, $c$, and $d$ are the solutions of the equation $x^4 - bx - 3 = 0$, then an equation whose solutions are \n\\[\\dfrac {a + b + c}{d^2}, \\dfrac {a + b + d}{c^2}, \\dfrac {a + c + d}{b^2}, \\dfrac {b + c + d}{a^2}\\]is\n$\\textbf{(A)}\\ 3x^4 + bx + 1 = 0\\qquad \\textbf{(B)}\\ 3x^4 - bx + 1 = 0\\qquad \\textbf{(C)}\\ 3x^4 + bx^3 - 1 = 0\\qquad \\\\\\textbf{(D)}\\ 3x^4 - bx^3 - 1 = 0\\qquad \\textbf{(E)}\\ \\text{none of these}$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 day, month, and year was Lucy Letby born?", "role": "user" } ]
qa
{ "ground_truth": "4 January 1990.", "style": "rule" }
{ "index": 4053, "need_tools_kwargs": true, "question": "What day, month, and year was Lucy Letby born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a deck of cards, there are $p$ red cards and $k$ blue cards. In how many ways can we choose cards from the deck so that the number of red cards is $n$ more than the number of blue cards?", "role": "user" } ]
math
{ "ground_truth": "\\min(k, p - n) - \\max(0, -n) + 1", "style": "rule" }
{ "index": 4054, "need_tools_kwargs": true, "question": "In a deck of cards, there are $p$ red cards and $k$ blue cards. In how many ways can we choose cards from the deck so that the number of red cards is $n$ more than the number of blue cards?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 whose director is younger, The Tooth Fairy (Film) or Dorothy Mills?", "role": "user" } ]
qa
{ "ground_truth": "Dorothy Mills", "style": "rule" }
{ "index": 4055, "need_tools_kwargs": true, "question": "Which film whose director is younger, The Tooth Fairy (Film) or Dorothy Mills?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the set \\( T = \\{0, 1, \\dots, 6\\} \\),\n$$\nM = \\left\\{\\left.\\frac{a_1}{7}+\\frac{a_2}{7^2}+\\frac{a_3}{7^3}+\\frac{a_4}{7^4} \\right\\rvert\\, a_i \\in T, i=1,2,3,4\\right\\}.\n$$\nIf the elements of the set \\( M \\) are arranged in decreasing order, what is the 2015th number?", "role": "user" } ]
math
{ "ground_truth": "\\frac{386}{2401}", "style": "rule" }
{ "index": 4056, "need_tools_kwargs": true, "question": "Let the set \\( T = \\{0, 1, \\dots, 6\\} \\),\n$$\nM = \\left\\{\\left.\\frac{a_1}{7}+\\frac{a_2}{7^2}+\\frac{a_3}{7^3}+\\frac{a_4}{7^4} \\right\\rvert\\, a_i \\in T, i=1,2,3,4\\right\\}.\n$$\nIf the elements of the set \\( M \\) are arranged in decreasing order, what is the 2015th 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": "For positive integers $m$ and $n$ , find the smalles possible value of $|2011^m-45^n|$ .\n\n*(Swiss Mathematical Olympiad, Final round, problem 3)*", "role": "user" } ]
math
{ "ground_truth": "14", "style": "rule" }
{ "index": 4057, "need_tools_kwargs": true, "question": "For positive integers $m$ and $n$ , find the smalles possible value of $|2011^m-45^n|$ .\n\n*(Swiss Mathematical Olympiad, Final round, problem 3)*", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In 1945, Pittsburgh Coal Company merged with what American energy company that is headquartered in Cecil Township, outside PIttsburgh, Pennsylvania?", "role": "user" } ]
qa
{ "ground_truth": "Consol Energy Inc.", "style": "rule" }
{ "index": 4058, "need_tools_kwargs": true, "question": "In 1945, Pittsburgh Coal Company merged with what American energy company that is headquartered in Cecil Township, outside PIttsburgh, Pennsylvania?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 major Russian city borders the sea where Kirr is located?", "role": "user" } ]
qa
{ "ground_truth": "Saint Petersburg", "style": "rule" }
{ "index": 4059, "need_tools_kwargs": true, "question": "Which major Russian city borders the sea where Kirr 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": "What is the date of birth of the director of film Belle Maman?", "role": "user" } ]
qa
{ "ground_truth": "30 December 1955", "style": "rule" }
{ "index": 4060, "need_tools_kwargs": true, "question": "What is the date of birth of the director of film Belle Maman?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "2.9 miles away from a peak 28 mi northwest of the Las Vegas Strip, is the highest mountain in both the Spring Mountains and Clark County, making it what?", "role": "user" } ]
qa
{ "ground_truth": "eighth-highest mountain in the state", "style": "rule" }
{ "index": 4061, "need_tools_kwargs": true, "question": "2.9 miles away from a peak 28 mi northwest of the Las Vegas Strip, is the highest mountain in both the Spring Mountains and Clark County, making it 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": "Did the movies Simple People and The Golden Abyss, originate from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 4062, "need_tools_kwargs": true, "question": "Did the movies Simple People and The Golden Abyss, originate from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Can the sum of 1000 consecutive odd numbers be the seventh power of a natural number?", "role": "user" } ]
math
{ "ground_truth": "10^7", "style": "rule" }
{ "index": 4063, "need_tools_kwargs": true, "question": "Can the sum of 1000 consecutive odd numbers be the seventh power of a natural 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": "Jane visits a café each morning of her six-day workweek and purchases either a 75-cent bagel, a 60-cent muffin, or a 100-cent coffee. If her total expenditure for the week is a whole number of dollars, determine how many coffees she bought.", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 4064, "need_tools_kwargs": true, "question": "Jane visits a café each morning of her six-day workweek and purchases either a 75-cent bagel, a 60-cent muffin, or a 100-cent coffee. If her total expenditure for the week is a whole number of dollars, determine how many coffees she bought.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 frog located at $(x,y)$, with both $x$ and $y$ integers, makes successive jumps of length $5$ and always lands on points with integer coordinates. Suppose that the frog starts at $(0,0)$ and ends at $(1,0)$. What is the smallest possible number of jumps the frog makes?", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "index": 4065, "need_tools_kwargs": true, "question": "A frog located at $(x,y)$, with both $x$ and $y$ integers, makes successive jumps of length $5$ and always lands on points with integer coordinates. Suppose that the frog starts at $(0,0)$ and ends at $(1,0)$. What is the smallest possible number of jumps the frog makes?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 integer $n$ , let $I_n=\\int_{\\frac{\\pi}{4}}^{\\frac{\\pi}{2}} \\frac{\\cos (2n+1)x}{\\sin x}\\ dx.$ (1) Find $I_0.$ (2) For each positive integer $n$ , find $I_n-I_{n-1}.$ (3) Find $I_5$ .", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{2}\\ln2-\\frac{8}{15}", "style": "rule" }
{ "index": 4066, "need_tools_kwargs": true, "question": "For integer $n$ , let $I_n=\\int_{\\frac{\\pi}{4}}^{\\frac{\\pi}{2}} \\frac{\\cos (2n+1)x}{\\sin x}\\ dx.$ (1) Find $I_0.$ (2) For each positive integer $n$ , find $I_n-I_{n-1}.$ (3) Find $I_5$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Red Wing (Actress)'s husband die?", "role": "user" } ]
qa
{ "ground_truth": "April 6, 1946", "style": "rule" }
{ "index": 4067, "need_tools_kwargs": true, "question": "When did Red Wing (Actress)'s husband 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": "Who was first granted the land where the Sheldon Farmhouse was built?", "role": "user" } ]
qa
{ "ground_truth": "James Duane", "style": "rule" }
{ "index": 4068, "need_tools_kwargs": true, "question": "Who was first granted the land where the Sheldon Farmhouse was built?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the arithmetic operators (+, -, *, /) and parentheses, combine the numbers 5, 7, 8, and 8 to get a result of 24. Write down one possible expression that satisfies this condition.", "role": "user" } ]
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 4069, "need_tools_kwargs": true, "question": "Using the arithmetic operators (+, -, *, /) and parentheses, combine the numbers 5, 7, 8, and 8 to get a result of 24. Write down one possible expression that satisfies this condition.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The sequence \\\\(\\{a_n\\}\\) consists of numbers \\\\(1\\\\) or \\\\(2\\\\), with the first term being \\\\(1\\\\). Between the \\\\(k\\\\)-th \\\\(1\\\\) and the \\\\(k+1\\\\)-th \\\\(1\\\\), there are \\\\(2k-1\\\\) \\\\(2\\\\)s, i.e., the sequence \\\\(\\{a_n\\}\\) is \\\\(1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, \\ldots\\\\). Let the sum of the first \\\\(n\\\\) terms of the sequence \\\\(\\{a_n\\}\\) be \\\\(S_n\\\\), then \\\\(S_{20} =\\\\)           , \\\\(S_{2017} =\\\\)                .", "role": "user" } ]
math
{ "ground_truth": "3989", "style": "rule" }
{ "index": 4070, "need_tools_kwargs": true, "question": "The sequence \\\\(\\{a_n\\}\\) consists of numbers \\\\(1\\\\) or \\\\(2\\\\), with the first term being \\\\(1\\\\). Between the \\\\(k\\\\)-th \\\\(1\\\\) and the \\\\(k+1\\\\)-th \\\\(1\\\\), there are \\\\(2k-1\\\\) \\\\(2\\\\)s, i.e., the sequence \\\\(\\{a_n\\}\\) is \\\\(1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, \\ldots\\\\). Let the sum of the first \\\\(n\\\\) terms of the sequence \\\\(\\{a_n\\}\\) be \\\\(S_n\\\\), then \\\\(S_{20} =\\\\)           , \\\\(S_{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": "Where was the place of burial of the performer of song First In Line (Song)?", "role": "user" } ]
qa
{ "ground_truth": "Graceland", "style": "rule" }
{ "index": 4071, "need_tools_kwargs": true, "question": "Where was the place of burial of the performer of song First In Line (Song)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the birthdate of the commissioner of the Epic Poker League?", "role": "user" } ]
qa
{ "ground_truth": "September 13, 1965", "style": "rule" }
{ "index": 4072, "need_tools_kwargs": true, "question": "What is the birthdate of the commissioner of the Epic Poker 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": "Who is the individual under 30, previously associated with Jane Street, who is facing seven charges of fraud and conspiracy, and is believed by the prosecution to have committed fraud for wealth, power, and influence, and has also been reported to have tried to use his fortune to potentially influence political events?", "role": "user" } ]
qa
{ "ground_truth": "Sam Bankman-Fried", "style": "rule" }
{ "index": 4073, "need_tools_kwargs": true, "question": "Who is the individual under 30, previously associated with Jane Street, who is facing seven charges of fraud and conspiracy, and is believed by the prosecution to have committed fraud for wealth, power, and influence, and has also been reported to have tried to use his fortune to potentially influence political events?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 total number of staff of the organization that co-produced Shadow of the Noose with the Australian Broadcasting Corporation and Television New Zealand ?", "role": "user" } ]
qa
{ "ground_truth": "35,402", "style": "rule" }
{ "index": 4074, "need_tools_kwargs": true, "question": "What is the total number of staff of the organization that co-produced Shadow of the Noose with the Australian Broadcasting Corporation and Television New Zealand ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 production company developed the 2015 television show of which Alex Mallari Jr. is the star?", "role": "user" } ]
qa
{ "ground_truth": "Prodigy Pictures", "style": "rule" }
{ "index": 4075, "need_tools_kwargs": true, "question": "What production company developed the 2015 television show of which Alex Mallari Jr. is the star?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Why did the composer of song Think For Yourself die?", "role": "user" } ]
qa
{ "ground_truth": "lung cancer", "style": "rule" }
{ "index": 4076, "need_tools_kwargs": true, "question": "Why did the composer of song Think For Yourself 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": "Findlater Castle was redesigned to resemble a castle located near what Scottish village? ", "role": "user" } ]
qa
{ "ground_truth": "Roslin in Midlothian, Scotland", "style": "rule" }
{ "index": 4077, "need_tools_kwargs": true, "question": "Findlater Castle was redesigned to resemble a castle located near what Scottish village? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 smallest $k$ such that $k$ cells can be marked on a $10 \\times 11$ board so that any placement of a three-cell L-shaped piece will touch at least one marked cell?", "role": "user" } ]
math
{ "ground_truth": "50", "style": "rule" }
{ "index": 4078, "need_tools_kwargs": true, "question": "What is the smallest $k$ such that $k$ cells can be marked on a $10 \\times 11$ board so that any placement of a three-cell L-shaped piece will touch at least one marked cell?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which country the director of film Superfly (2018 Film) is from?", "role": "user" } ]
qa
{ "ground_truth": "Canadian", "style": "rule" }
{ "index": 4079, "need_tools_kwargs": true, "question": "Which country the director of film Superfly (2018 Film) is from?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Régional Compagnie Aérienne Européenne is a subsidiary of an airline carrier that has its corporate headquarters at what location?", "role": "user" } ]
qa
{ "ground_truth": "Charles de Gaulle Airport", "style": "rule" }
{ "index": 4080, "need_tools_kwargs": true, "question": "Régional Compagnie Aérienne Européenne is a subsidiary of an airline carrier that has its corporate headquarters at what location?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Eurocup titles did Rashaun Broadus's former Lithuanian team win ?", "role": "user" } ]
qa
{ "ground_truth": "two", "style": "rule" }
{ "index": 4081, "need_tools_kwargs": true, "question": "How many Eurocup titles did Rashaun Broadus's former Lithuanian team win ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 university with the building named after John William Calhoun founded?", "role": "user" } ]
qa
{ "ground_truth": "1881", "style": "rule" }
{ "index": 4082, "need_tools_kwargs": true, "question": "What year was the university with the building named after John William Calhoun founded?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Nurse In The Military Madhouse?", "role": "user" } ]
qa
{ "ground_truth": "Italian", "style": "rule" }
{ "index": 4083, "need_tools_kwargs": true, "question": "What nationality is the director of film The Nurse In The Military Madhouse?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 maximum number of parts into which the coordinate plane \\(xOy\\) can be divided by the graphs of 100 quadratic polynomials of the form \n\\[ y = a_{n} x^{2} + b_{n} x + c_{n} \\quad (n=1, 2, \\ldots, 100) ? \\]", "role": "user" } ]
math
{ "ground_truth": "10001", "style": "rule" }
{ "index": 4084, "need_tools_kwargs": true, "question": "What is the maximum number of parts into which the coordinate plane \\(xOy\\) can be divided by the graphs of 100 quadratic polynomials of the form \n\\[ y = a_{n} x^{2} + b_{n} x + c_{n} \\quad (n=1, 2, \\ldots, 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": "How many acres did the ranch that the partner of Mifflin Kenedy have?", "role": "user" } ]
qa
{ "ground_truth": "825000", "style": "rule" }
{ "index": 4085, "need_tools_kwargs": true, "question": "How many acres did the ranch that the partner of Mifflin Kenedy have?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 letter T is formed by placing two $3\\:\\text{inch}\\!\\times\\!5\\:\\text{inch}$ rectangles to form a T shape. The vertical rectangle is placed in the middle of the horizontal one, overlapping it by $1.5$ inches on both sides. What is the perimeter of the new T, in inches?", "role": "user" } ]
math
{ "ground_truth": "20", "style": "rule" }
{ "index": 4086, "need_tools_kwargs": true, "question": "The letter T is formed by placing two $3\\:\\text{inch}\\!\\times\\!5\\:\\text{inch}$ rectangles to form a T shape. The vertical rectangle is placed in the middle of the horizontal one, overlapping it by $1.5$ inches on both sides. What is the perimeter of the new T, 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": "Let set $I=\\{1,2,3,4,5,6\\}$, and sets $A, B \\subseteq I$. If set $A$ contains 3 elements, set $B$ contains at least 2 elements, and all elements in $B$ are not less than the largest element in $A$, calculate the number of pairs of sets $A$ and $B$ that satisfy these conditions.", "role": "user" } ]
math
{ "ground_truth": "29", "style": "rule" }
{ "index": 4087, "need_tools_kwargs": true, "question": "Let set $I=\\{1,2,3,4,5,6\\}$, and sets $A, B \\subseteq I$. If set $A$ contains 3 elements, set $B$ contains at least 2 elements, and all elements in $B$ are not less than the largest element in $A$, calculate the number of pairs of sets $A$ and $B$ that satisfy these conditions.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which country the director of film The Brain Leeches is from?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 4088, "need_tools_kwargs": true, "question": "Which country the director of film The Brain Leeches is from?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Convert the point \\((\\rho, \\theta, \\phi) = \\left( 8, \\frac{5 \\pi}{4}, \\frac{\\pi}{4} \\right)\\) in spherical coordinates to rectangular coordinates.", "role": "user" } ]
math
{ "ground_truth": "(-4, -4, 4 \\sqrt{2})", "style": "rule" }
{ "index": 4089, "need_tools_kwargs": true, "question": "Convert the point \\((\\rho, \\theta, \\phi) = \\left( 8, \\frac{5 \\pi}{4}, \\frac{\\pi}{4} \\right)\\) in spherical coordinates to rectangular coordinates.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 leader of the resistance group referred to as FPO active during World War II?", "role": "user" } ]
qa
{ "ground_truth": "Vilnius", "style": "rule" }
{ "index": 4090, "need_tools_kwargs": true, "question": "Where was the leader of the resistance group referred to as FPO active during World War II?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 New englands quarterback that has won 2 super bowls and is on what installment of of the Madden NFL series?", "role": "user" } ]
qa
{ "ground_truth": "29th installment", "style": "rule" }
{ "index": 4091, "need_tools_kwargs": true, "question": "The New englands quarterback that has won 2 super bowls and is on what installment of of the Madden NFL series?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What type of group does Breakthrough Prize in Life Sciences and Anne Wojcicki have in common?", "role": "user" } ]
qa
{ "ground_truth": "company", "style": "rule" }
{ "index": 4092, "need_tools_kwargs": true, "question": "What type of group does Breakthrough Prize in Life Sciences and Anne Wojcicki have in common?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A is the number 3 greater than 5 and B is A minus 2. WhenA and B are single-digit numbers, find what A+B is.", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "index": 4093, "need_tools_kwargs": true, "question": "A is the number 3 greater than 5 and B is A minus 2. WhenA and B are single-digit numbers, find what A+B 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": "Who directed the Chinese television series in which Li Yitong played Huang Rong?", "role": "user" } ]
qa
{ "ground_truth": "Jeffrey Chiang", "style": "rule" }
{ "index": 4094, "need_tools_kwargs": true, "question": "Who directed the Chinese television series in which Li Yitong played Huang Rong?", "split": "train" }
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DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "集合 M 为连续 n 个正整数构成的集合. 若 M 中所有元素的和恰为 2024,且 n 为偶数,则集合 M 中最小的元素为__________.", "role": "user" } ]
math
{ "ground_truth": "119", "style": "rule" }
{ "index": 4095, "need_tools_kwargs": true, "question": "集合 M 为连续 n 个正整数构成的集合. 若 M 中所有元素的和恰为 2024,且 n 为偶数,则集合 M 中最小的元素为__________.", "split": "train" }
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DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Consider the following sequence of sets of natural numbers. The first set \\( I_{0} \\) consists of two ones, 1,1. Then, between these numbers, we insert their sum \\( 1+1=2 \\); we obtain the set \\( I_{1}: 1,2,1 \\). Next, between each pair of numbers in \\( I_{1} \\) we insert their sum; we obtain the set \\( I_{2}: 1,3,2,3,1 \\). Proceeding in the same way with the set \\( I_{2} \\), we obtain the set \\( I_{3}: 1,4,3,5,2,5,3,4,1 \\), and so on. How many times will the number 1973 appear in the set \\( I_{1000000} \\)?", "role": "user" } ]
math
{ "ground_truth": "1972", "style": "rule" }
{ "index": 4096, "need_tools_kwargs": true, "question": "Consider the following sequence of sets of natural numbers. The first set \\( I_{0} \\) consists of two ones, 1,1. Then, between these numbers, we insert their sum \\( 1+1=2 \\); we obtain the set \\( I_{1}: 1,2,1 \\). Next, between each pair of numbers in \\( I_{1} \\) we insert their sum; we obtain the set \\( I_{2}: 1,3,2,3,1 \\). Proceeding in the same way with the set \\( I_{2} \\), we obtain the set \\( I_{3}: 1,4,3,5,2,5,3,4,1 \\), and so on. How many times will the number 1973 appear in the set \\( I_{1000000} \\)?", "split": "train" }
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DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "18 Days is a single that was also used in the iPhone OS game that had music created by whom?", "role": "user" } ]
qa
{ "ground_truth": "Nate True", "style": "rule" }
{ "index": 4097, "need_tools_kwargs": true, "question": "18 Days is a single that was also used in the iPhone OS game that had music created by whom?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 founder of Carter-Ruck die?", "role": "user" } ]
qa
{ "ground_truth": "19 December 2003", "style": "rule" }
{ "index": 4098, "need_tools_kwargs": true, "question": "When did the founder of Carter-Ruck die?", "split": "train" }
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DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a certain sequence, the first term is \\(a_1 = 1010\\) and the second term is \\(a_2 = 1011\\). The values of the remaining terms are chosen so that \\(a_n + a_{n+1} + a_{n+2} = 2n\\) for all \\(n \\geq 1\\). Determine \\(a_{1000}\\).", "role": "user" } ]
math
{ "ground_truth": "1676", "style": "rule" }
{ "index": 4099, "need_tools_kwargs": true, "question": "In a certain sequence, the first term is \\(a_1 = 1010\\) and the second term is \\(a_2 = 1011\\). The values of the remaining terms are chosen so that \\(a_n + a_{n+1} + a_{n+2} = 2n\\) for all \\(n \\geq 1\\). Determine \\(a_{1000}\\).", "split": "train" }
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