data_source
stringclasses
1 value
prompt
listlengths
2
2
ability
stringclasses
2 values
reward_model
dict
extra_info
dict
metadata
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "One hundred musicians are planning to organize a festival with several concerts. In each concert, while some of the one hundred musicians play on stage, the others remain in the audience assisting the players. What is the least number of concerts required so that each musician has the opportunity to listen to every other musician on stage?", "role": "user" } ]
math
{ "ground_truth": "9", "style": "rule" }
{ "index": 3900, "need_tools_kwargs": true, "question": "One hundred musicians are planning to organize a festival with several concerts. In each concert, while some of the one hundred musicians play on stage, the others remain in the audience assisting the players. What is the least number of concerts required so that each musician has the opportunity to listen to every other musician on stage?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given vectors $m=(2\\sqrt{3}\\sin\\frac{x}{4}, 2)$ and $n=(\\cos\\frac{x}{4}, \\cos^2\\frac{x}{4})$,\n\n(I) If $m\\cdot n=2$, find the value of $\\cos(x+\\frac{\\pi}{3})$;\n\n(II) Let $f(x)=m\\cdot n$. In triangle $ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, and they satisfy $(2a-c)\\cos B=b\\cos C$. Find the range of $f(A)$.", "role": "user" } ]
math
{ "ground_truth": "(2, 3)", "style": "rule" }
{ "index": 3901, "need_tools_kwargs": true, "question": "Given vectors $m=(2\\sqrt{3}\\sin\\frac{x}{4}, 2)$ and $n=(\\cos\\frac{x}{4}, \\cos^2\\frac{x}{4})$,\n\n(I) If $m\\cdot n=2$, find the value of $\\cos(x+\\frac{\\pi}{3})$;\n\n(II) Let $f(x)=m\\cdot n$. In triangle $ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, and they satisfy $(2a-c)\\cos B=b\\cos C$. Find the range of $f(A)$.", "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": "What nationality is the director of film Out (1957 Film)?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 3902, "need_tools_kwargs": true, "question": "What nationality is the director of film Out (1957 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": "Let $f : N \\to R$ be a function, satisfying the following condition:\nfor every integer $n > 1$, there exists a prime divisor $p$ of $n$ such that $f(n) = f \\big(\\frac{n}{p}\\big)-f(p)$.\nIf $f(2^{2007}) + f(3^{2008}) + f(5^{2009}) = 2006$, determine the value of $f(2007^2) + f(2008^3) + f(2009^5)$", "role": "user" } ]
math
{ "ground_truth": "9", "style": "rule" }
{ "index": 3903, "need_tools_kwargs": true, "question": "Let $f : N \\to R$ be a function, satisfying the following condition:\nfor every integer $n > 1$, there exists a prime divisor $p$ of $n$ such that $f(n) = f \\big(\\frac{n}{p}\\big)-f(p)$.\nIf $f(2^{2007}) + f(3^{2008}) + f(5^{2009}) = 2006$, determine the value of $f(2007^2) + f(2008^3) + f(2009^5)$", "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": "Given that the fractional part of the common logarithm of a positive number \\(M\\) is \\(\\frac{1}{a}\\), find the fractional part of the common logarithm of \\(\\frac{1}{M}\\).\n(A) \\(\\frac{1}{a}\\). \n(B) \\(\\frac{a-1}{a}\\). \n(C) \\(\\frac{-1}{a}\\). \n(D) \\(a\\).", "role": "user" } ]
math
{ "ground_truth": "\\frac{a-1}{a}", "style": "rule" }
{ "index": 3904, "need_tools_kwargs": true, "question": "Given that the fractional part of the common logarithm of a positive number \\(M\\) is \\(\\frac{1}{a}\\), find the fractional part of the common logarithm of \\(\\frac{1}{M}\\).\n(A) \\(\\frac{1}{a}\\). \n(B) \\(\\frac{a-1}{a}\\). \n(C) \\(\\frac{-1}{a}\\). \n(D) \\(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 rice field, you can get a total of 20 sacks of rice every harvest. If the yield increases by twenty percent after every harvest, what is the total number of sacks of rice you can get after the first and second harvest?", "role": "user" } ]
math
{ "ground_truth": "44", "style": "rule" }
{ "index": 3905, "need_tools_kwargs": true, "question": "In a rice field, you can get a total of 20 sacks of rice every harvest. If the yield increases by twenty percent after every harvest, what is the total number of sacks of rice you can get after the first and second harvest?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Bill Nye hosted a self-titled show, which was predecessor to \"The Eyes of Nye\"; what was the final air date of that predecessor show?", "role": "user" } ]
qa
{ "ground_truth": "March 1, 1999", "style": "rule" }
{ "index": 3906, "need_tools_kwargs": true, "question": "Bill Nye hosted a self-titled show, which was predecessor to \"The Eyes of Nye\"; what was the final air date of that predecessor show?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What author is well known for writing speculative fiction and featured cover art by her brother on one of her books?", "role": "user" } ]
qa
{ "ground_truth": "C. J. Cherryh", "style": "rule" }
{ "index": 3907, "need_tools_kwargs": true, "question": "What author is well known for writing speculative fiction and featured cover art by her brother on one of her books?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 vertex of a tetrahedron is called perfect if the three edges at this vertex form the sides of a certain triangle. How many perfect vertices can a tetrahedron have?", "role": "user" } ]
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 3908, "need_tools_kwargs": true, "question": "A vertex of a tetrahedron is called perfect if the three edges at this vertex form the sides of a certain triangle. How many perfect vertices can a tetrahedron 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": "Let $m$ be the integer such that $0 \\le m < 37$ and $4m \\equiv 1 \\pmod{37}$. Compute $\\left(3^m\\right)^4 - 3 \\pmod{37}$.", "role": "user" } ]
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 3909, "need_tools_kwargs": true, "question": "Let $m$ be the integer such that $0 \\le m < 37$ and $4m \\equiv 1 \\pmod{37}$. Compute $\\left(3^m\\right)^4 - 3 \\pmod{37}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 school football team originally had 36 people, and then 14 more people joined. Now, the football team has 50 people.", "role": "user" } ]
math
{ "ground_truth": "50", "style": "rule" }
{ "index": 3910, "need_tools_kwargs": true, "question": "The school football team originally had 36 people, and then 14 more people joined. Now, the football team has 50 people.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A group of 5 children are taken to an amusement park. Only 3 of them were daring enough to get on the Ferris wheel which cost $5 per child. Everyone had a go at the merry-go-round (at a certain amount per child). On their way home, they bought 2 cones of ice cream each (each cone cost $8). They spent altogether $110. How much did the merry-go-round ride cost per child?", "role": "user" } ]
math
{ "ground_truth": "\\$3", "style": "rule" }
{ "index": 3911, "need_tools_kwargs": true, "question": "A group of 5 children are taken to an amusement park. Only 3 of them were daring enough to get on the Ferris wheel which cost $5 per child. Everyone had a go at the merry-go-round (at a certain amount per child). On their way home, they bought 2 cones of ice cream each (each cone cost $8). They spent altogether $110. How much did the merry-go-round ride cost per child?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Do both films, The Trail Of The Lonesome Pine (1923 Film) and La Torre De Suso, have the directors who are from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3912, "need_tools_kwargs": true, "question": "Do both films, The Trail Of The Lonesome Pine (1923 Film) and La Torre De Suso, have the directors who are from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the birthdate of this King of Denmark and Norway, of whom Mogens Gaye was the Royal councillor?", "role": "user" } ]
qa
{ "ground_truth": "7 October 1471", "style": "rule" }
{ "index": 3913, "need_tools_kwargs": true, "question": "What is the birthdate of this King of Denmark and Norway, of whom Mogens Gaye was the Royal councillor?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who is the spouse of the director of film The Trail Of The Octopus?", "role": "user" } ]
qa
{ "ground_truth": "Virginia Brown Faire", "style": "rule" }
{ "index": 3914, "need_tools_kwargs": true, "question": "Who is the spouse of the director of film The Trail Of The Octopus?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a fixed odd positive integer. Find the largest positive integer \\( n \\) for which there are no positive integers \\( x, y, z \\) such that \\( ax + (a + 1)y + (a + 2)z = n \\).", "role": "user" } ]
math
{ "ground_truth": "\\frac{a^2 + 5a + 4}{2}", "style": "rule" }
{ "index": 3915, "need_tools_kwargs": true, "question": "\\( a \\) is a fixed odd positive integer. Find the largest positive integer \\( n \\) for which there are no positive integers \\( x, y, z \\) such that \\( ax + (a + 1)y + (a + 2)z = 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": "Find the last three digits of $9^{105}.$", "role": "user" } ]
math
{ "ground_truth": "49", "style": "rule" }
{ "index": 3916, "need_tools_kwargs": true, "question": "Find the last three digits of $9^{105}.$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a $4 \\times 5$ grid, place 5 crosses such that each row and each column contains at least one cross. How many ways can this be done?", "role": "user" } ]
math
{ "ground_truth": "240", "style": "rule" }
{ "index": 3917, "need_tools_kwargs": true, "question": "In a $4 \\times 5$ grid, place 5 crosses such that each row and each column contains at least one cross. How many ways can this be done?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are both villages, Mohsenabad-E Pain and Khamisabad, located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 3918, "need_tools_kwargs": true, "question": "Are both villages, Mohsenabad-E Pain and Khamisabad, 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 the function $f(x)=4x^{2}-kx-8$ in the interval $(5,20)$ has neither a maximum nor a minimum value, determine the range of the real number $k$.\nA: $[160,+∞)$\nB: $(-∞,40]$\nC: $(-∞,40]∪[160,+∞)$\nD: $(-∞,20]∪[80,+∞)$", "role": "user" } ]
math
{ "ground_truth": "(-\\infty, 40] \\cup [160, +\\infty)", "style": "rule" }
{ "index": 3919, "need_tools_kwargs": true, "question": "Given the function $f(x)=4x^{2}-kx-8$ in the interval $(5,20)$ has neither a maximum nor a minimum value, determine the range of the real number $k$.\nA: $[160,+∞)$\nB: $(-∞,40]$\nC: $(-∞,40]∪[160,+∞)$\nD: $(-∞,20]∪[80,+∞)$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Assistant (1998 Film) is from?", "role": "user" } ]
qa
{ "ground_truth": "Canadian", "style": "rule" }
{ "index": 3920, "need_tools_kwargs": true, "question": "Which country the director of film The Assistant (1998 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": "Find the number of pairs of positive integers $(m, n)$, with $m \\leq n$, such that the least common multiple (LCM) of $m$ and $n$ equals $600$.", "role": "user" } ]
math
{ "ground_truth": "53", "style": "rule" }
{ "index": 3921, "need_tools_kwargs": true, "question": "Find the number of pairs of positive integers $(m, n)$, with $m \\leq n$, such that the least common multiple (LCM) of $m$ and $n$ equals $600$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 director of film The Crime Of Doctor Hallet?", "role": "user" } ]
qa
{ "ground_truth": "Forest Lawn Memorial Park", "style": "rule" }
{ "index": 3922, "need_tools_kwargs": true, "question": "Where was the place of burial of the director of film The Crime Of Doctor Hallet?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the geometric sequence $\\{a\\_n\\}$, it is known that $a\\_2=2$ and $a\\_8=32$. Find the value of $a\\_5$.", "role": "user" } ]
math
{ "ground_truth": "8", "style": "rule" }
{ "index": 3923, "need_tools_kwargs": true, "question": "In the geometric sequence $\\{a\\_n\\}$, it is known that $a\\_2=2$ and $a\\_8=32$. Find the value of $a\\_5$.", "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": "If $a, b,$ and $c$ are digits for which \\[ \\begin{array}{cccc} & 7 & a & 2 \\\\ - & 4 & 8 & b \\\\ \\hline & c & 7 & 3 \\end{array} \\] then find the value of $a + b + c$.", "role": "user" } ]
math
{ "ground_truth": "17", "style": "rule" }
{ "index": 3924, "need_tools_kwargs": true, "question": "If $a, b,$ and $c$ are digits for which \\[ \\begin{array}{cccc} & 7 & a & 2 \\\\ - & 4 & 8 & b \\\\ \\hline & c & 7 & 3 \\end{array} \\] then find the value of $a + b + c$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are director of film Mazhakaaru and director of film Change (Film) both from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3925, "need_tools_kwargs": true, "question": "Are director of film Mazhakaaru and director of film Change (Film) both from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which member of the former TNA wrestling tag team duo A.J. Styles and Tomko, is the owner of a Pūrlife Fitness Center in Delray Beach, Florida?", "role": "user" } ]
qa
{ "ground_truth": "Travis David Tomko", "style": "rule" }
{ "index": 3926, "need_tools_kwargs": true, "question": "Which member of the former TNA wrestling tag team duo A.J. Styles and Tomko, is the owner of a Pūrlife Fitness Center in Delray Beach, Florida?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\frac{a^{8}-6561}{81 a^{4}} \\cdot \\frac{3 a}{a^{2}+9}$, given that $\\frac{a}{3}-\\frac{3}{a}=4$.", "role": "user" } ]
math
{ "ground_truth": "72", "style": "rule" }
{ "index": 3927, "need_tools_kwargs": true, "question": "Find $\\frac{a^{8}-6561}{81 a^{4}} \\cdot \\frac{3 a}{a^{2}+9}$, given that $\\frac{a}{3}-\\frac{3}{a}=4$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are the directors of both films East Lynne (1925 film) and Let Them Chirp Awhile from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 3928, "need_tools_kwargs": true, "question": "Are the directors of both films East Lynne (1925 film) and Let Them Chirp Awhile 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": "Find the smallest positive integer $n$ such that for any $n$ distinct integers $a_1, a_2, \\dots, a_n$, the product of all differences $a_i - a_j$ for $i < j$ is divisible by $1991$.", "role": "user" } ]
math
{ "ground_truth": "182", "style": "rule" }
{ "index": 3929, "need_tools_kwargs": true, "question": "Find the smallest positive integer $n$ such that for any $n$ distinct integers $a_1, a_2, \\dots, a_n$, the product of all differences $a_i - a_j$ for $i < j$ is divisible by $1991$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Dan II of Denmark's father, also known as the legendary king of the Angles?", "role": "user" } ]
qa
{ "ground_truth": "Offa of Angel", "style": "rule" }
{ "index": 3930, "need_tools_kwargs": true, "question": "Who is Dan II of Denmark's father, also known as the legendary king of the Angles?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\{a\\_n\\}$ that satisfies the condition: when $n \\geqslant 2$ and $n \\in \\mathbb{N}^+$, we have $a\\_n + a\\_{n-1} = (-1)^n \\times 3$. Calculate the sum of the first 200 terms of the sequence $\\{a\\_n\\}$.", "role": "user" } ]
math
{ "ground_truth": "300", "style": "rule" }
{ "index": 3931, "need_tools_kwargs": true, "question": "Given the sequence $\\{a\\_n\\}$ that satisfies the condition: when $n \\geqslant 2$ and $n \\in \\mathbb{N}^+$, we have $a\\_n + a\\_{n-1} = (-1)^n \\times 3$. Calculate the sum of the first 200 terms 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": "What 1945 American comedy film, directed by Hal Walker, did Eddie Bracken, the comedy legend that appeared in \"Hail the Conquering Hero\" and \"The Miracle of Morgan's Creek\" appear?", "role": "user" } ]
qa
{ "ground_truth": "Duffy's Tavern", "style": "rule" }
{ "index": 3932, "need_tools_kwargs": true, "question": "What 1945 American comedy film, directed by Hal Walker, did Eddie Bracken, the comedy legend that appeared in \"Hail the Conquering Hero\" and \"The Miracle of Morgan's Creek\" appear?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $a$ and $b$ be constants. Suppose that the equation \\[\\frac{(x+a)(x+b)(x+12)}{(x+3)^2} = 0\\]has exactly $3$ distinct roots, while the equation \\[\\frac{(x+2a)(x+3)(x+6)}{(x+b)(x+12)} = 0\\]has exactly $1$ distinct root. Compute $100a + b.$", "role": "user" } ]
math
{ "ground_truth": "156", "style": "rule" }
{ "index": 3933, "need_tools_kwargs": true, "question": "Let $a$ and $b$ be constants. Suppose that the equation \\[\\frac{(x+a)(x+b)(x+12)}{(x+3)^2} = 0\\]has exactly $3$ distinct roots, while the equation \\[\\frac{(x+2a)(x+3)(x+6)}{(x+b)(x+12)} = 0\\]has exactly $1$ distinct root. Compute $100a + b.$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given that the edge length of the cube \\( ABCD-A_1B_1C_1D_1 \\) is 1, point \\( M \\) is chosen on the diagonal \\( A_1D \\) and point \\( N \\) is chosen on \\( CD_1 \\), such that segment \\( MN \\) is parallel to the diagonal face \\( A_1ACC_1 \\). What is the minimum value of \\( MN \\)?\n(A) \\( \\frac{\\sqrt{3}}{3} \\) \n(B) 1 \n(C) \\( \\sqrt{2} \\) \n(D) \\( \\frac{\\sqrt{2}}{2} \\)", "role": "user" } ]
math
{ "ground_truth": "\\frac{\\sqrt{3}}{3}", "style": "rule" }
{ "index": 3934, "need_tools_kwargs": true, "question": "Given that the edge length of the cube \\( ABCD-A_1B_1C_1D_1 \\) is 1, point \\( M \\) is chosen on the diagonal \\( A_1D \\) and point \\( N \\) is chosen on \\( CD_1 \\), such that segment \\( MN \\) is parallel to the diagonal face \\( A_1ACC_1 \\). What is the minimum value of \\( MN \\)?\n(A) \\( \\frac{\\sqrt{3}}{3} \\) \n(B) 1 \n(C) \\( \\sqrt{2} \\) \n(D) \\( \\frac{\\sqrt{2}}{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": "Who is the Chilean footballer that, in 2018, left Arsenal and joined the team that Rooney transferred to in 2004?", "role": "user" } ]
qa
{ "ground_truth": "Alexis Sánchez", "style": "rule" }
{ "index": 3935, "need_tools_kwargs": true, "question": "Who is the Chilean footballer that, in 2018, left Arsenal and joined the team that Rooney transferred to in 2004?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Casey Dellacqua and Yevgeny Kafelnikov are both what?", "role": "user" } ]
qa
{ "ground_truth": "tennis player", "style": "rule" }
{ "index": 3936, "need_tools_kwargs": true, "question": "Casey Dellacqua and Yevgeny Kafelnikov are both 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": "设 p 是奇质数. 对 1\\leq k\\leq p-1,用 a_k 表示 kp+1 的不小于 k 而小于 p 的因数的个数. 求 a_1+a_2+\\cdots+a_{p-1} 的值。答案的形式为 mp + n,请给出 m + n 的值。", "role": "user" } ]
math
{ "ground_truth": "0", "style": "rule" }
{ "index": 3937, "need_tools_kwargs": true, "question": "设 p 是奇质数. 对 1\\leq k\\leq p-1,用 a_k 表示 kp+1 的不小于 k 而小于 p 的因数的个数. 求 a_1+a_2+\\cdots+a_{p-1} 的值。答案的形式为 mp + n,请给出 m + n 的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The cathedral that was the home of the organs Dirk Andries Flentrop restored in 1977 was built in sections between what years? ", "role": "user" } ]
qa
{ "ground_truth": "1573 to 1813", "style": "rule" }
{ "index": 3938, "need_tools_kwargs": true, "question": "The cathedral that was the home of the organs Dirk Andries Flentrop restored in 1977 was built in sections between what years? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $a$ , $b$ , and $c$ with $a < b < c$ , consider collections of postage stamps in denominations $a$ , $b$ , and $c$ cents that contain at least one stamp of each denomination. If there exists such a collection that contains sub-collections worth every whole number of cents up to $1000$ cents, let $f(a, b, c)$ be the minimum number of stamps in such a collection. Find the sum of the three least values of $c$ such that $f(a, b, c) = 97$ for some choice of $a$ and $b$ .", "role": "user" } ]
math
{ "ground_truth": "188", "style": "rule" }
{ "index": 3939, "need_tools_kwargs": true, "question": "For positive integers $a$ , $b$ , and $c$ with $a < b < c$ , consider collections of postage stamps in denominations $a$ , $b$ , and $c$ cents that contain at least one stamp of each denomination. If there exists such a collection that contains sub-collections worth every whole number of cents up to $1000$ cents, let $f(a, b, c)$ be the minimum number of stamps in such a collection. Find the sum of the three least values of $c$ such that $f(a, b, c) = 97$ for some choice of $a$ and $b$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When is the director of film Saw 3D 's birthday?", "role": "user" } ]
qa
{ "ground_truth": "March 31, 1965", "style": "rule" }
{ "index": 3940, "need_tools_kwargs": true, "question": "When is the director of film Saw 3D 's birthday?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let $(a,b)=(a_n,a_{n+1}),\\forall n\\in\\mathbb{N}$ all be positive interger solutions that satisfies $$ 1\\leq a\\leq b $$ and $$ \\dfrac{a^2+b^2+a+b+1}{ab}\\in\\mathbb{N} $$ And the value of $a_n$ is **only** determined by the following recurrence relation: $ a_{n+2} = pa_{n+1} + qa_n + r$ \nFind $(p,q,r)$ .", "role": "user" } ]
math
{ "ground_truth": " (p, q, r) = (5, -1, -1) ", "style": "rule" }
{ "index": 3941, "need_tools_kwargs": true, "question": "Let $(a,b)=(a_n,a_{n+1}),\\forall n\\in\\mathbb{N}$ all be positive interger solutions that satisfies $$ 1\\leq a\\leq b $$ and $$ \\dfrac{a^2+b^2+a+b+1}{ab}\\in\\mathbb{N} $$ And the value of $a_n$ is **only** determined by the following recurrence relation: $ a_{n+2} = pa_{n+1} + qa_n + r$ \nFind $(p,q,r)$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Seven Years Bad Luck?", "role": "user" } ]
qa
{ "ground_truth": "French", "style": "rule" }
{ "index": 3942, "need_tools_kwargs": true, "question": "What nationality is the director of film Seven Years Bad Luck?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given a real number $\\lambda > 1$, let $P$ be a point on the arc $BAC$ of the circumcircle of $\\bigtriangleup ABC$. Extend $BP$ and $CP$ to $U$ and $V$ respectively such that $BU = \\lambda BA$, $CV = \\lambda CA$. Then extend $UV$ to $Q$ such that $UQ = \\lambda UV$. The locus of point $Q$ is in the form of a circle centered at $(x, y)$ with radius $r$. Please find the value of $x + y + r$.", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 3943, "need_tools_kwargs": true, "question": "Given a real number $\\lambda > 1$, let $P$ be a point on the arc $BAC$ of the circumcircle of $\\bigtriangleup ABC$. Extend $BP$ and $CP$ to $U$ and $V$ respectively such that $BU = \\lambda BA$, $CV = \\lambda CA$. Then extend $UV$ to $Q$ such that $UQ = \\lambda UV$. The locus of point $Q$ is in the form of a circle centered at $(x, y)$ with radius $r$. Please find the value of $x + y + r$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 husband of Anne Of Bohemia, Duchess Of Silesia born?", "role": "user" } ]
qa
{ "ground_truth": "Kraków", "style": "rule" }
{ "index": 3944, "need_tools_kwargs": true, "question": "Where was the husband of Anne Of Bohemia, Duchess Of Silesia 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 the 1977 European Cup Winners' Cup Final, what team played against the only team that has played in every season of the Bundesliga?", "role": "user" } ]
qa
{ "ground_truth": "Anderlecht of Belgium", "style": "rule" }
{ "index": 3945, "need_tools_kwargs": true, "question": "In the 1977 European Cup Winners' Cup Final, what team played against the only team that has played in every season of the Bundesliga?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "设双曲线 C:\\df{x^2}{a^2}-\\df{y^2}{b^2}=1,A_1,A_2 为双曲线 C 的左、右顶点,F 为 C 的焦点。以坐标原点 O 为圆心、|OF| 为半径的圆与 C 的渐近线的一个交点为 B。若 \\angle A_1BA_2=60^\\circ,则 C 的离心率的原始答案为 \\frac{\\sqrt{k}}{m} 的形式,请给出 k + m 的值。", "role": "user" } ]
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 3946, "need_tools_kwargs": true, "question": "设双曲线 C:\\df{x^2}{a^2}-\\df{y^2}{b^2}=1,A_1,A_2 为双曲线 C 的左、右顶点,F 为 C 的焦点。以坐标原点 O 为圆心、|OF| 为半径的圆与 C 的渐近线的一个交点为 B。若 \\angle A_1BA_2=60^\\circ,则 C 的离心率的原始答案为 \\frac{\\sqrt{k}}{m} 的形式,请给出 k + m 的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Do both The Scarlet Letter (1934 film) and A City Is Beautiful at Night films have the directors from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3947, "need_tools_kwargs": true, "question": "Do both The Scarlet Letter (1934 film) and A City Is Beautiful at Night films have the directors from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where is the band that produced \"Runaground\" from?", "role": "user" } ]
qa
{ "ground_truth": "Manchester", "style": "rule" }
{ "index": 3948, "need_tools_kwargs": true, "question": "Where is the band that produced \"Runaground\" 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": "Let $BC = 6$, $BX = 3$, $CX = 5$, and let $F$ be the midpoint of $\\overline{BC}$. Let $\\overline{AX} \\perp \\overline{BC}$ and $AF = \\sqrt{247}$. If $AC$ is of the form $\\sqrt{b}$ and $AB$ is of the form $\\sqrt{c}$ where $b$ and $c$ are nonnegative integers, find $2c + 3b$.", "role": "user" } ]
math
{ "ground_truth": "1288", "style": "rule" }
{ "index": 3949, "need_tools_kwargs": true, "question": "Let $BC = 6$, $BX = 3$, $CX = 5$, and let $F$ be the midpoint of $\\overline{BC}$. Let $\\overline{AX} \\perp \\overline{BC}$ and $AF = \\sqrt{247}$. If $AC$ is of the form $\\sqrt{b}$ and $AB$ is of the form $\\sqrt{c}$ where $b$ and $c$ are nonnegative integers, find $2c + 3b$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Do both films High Anxiety and Uncivilised (film) have the directors that share the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3950, "need_tools_kwargs": true, "question": "Do both films High Anxiety and Uncivilised (film) have the directors that share the same nationality?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When was the director of film Die Arche born?", "role": "user" } ]
qa
{ "ground_truth": "5 November 1880", "style": "rule" }
{ "index": 3951, "need_tools_kwargs": true, "question": "When was the director of film Die Arche 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": "The sum of the squares of 50 consecutive odd integers is 300850. Find the largest odd integer whose square is the last term of this sum.", "role": "user" } ]
math
{ "ground_truth": "121", "style": "rule" }
{ "index": 3952, "need_tools_kwargs": true, "question": "The sum of the squares of 50 consecutive odd integers is 300850. Find the largest odd integer whose square is the last term of this sum.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Quadrilateral $PQRS$ is inscribed in a circle with segment $PR$ as a diameter of the circle. If $m\\angle PQR = 15^\\circ$ and $m\\angle QPR = 60^\\circ$, the ratio of the area of $PQRS$ to the area of the circle can be expressed as a common fraction in simplest radical form in terms of $\\pi$ as $\\frac{a+\\sqrt{b}}{c\\pi}$, where $a,$ $b,$ and $c$ are positive integers. What is the value of $a + b + c$?", "role": "user" } ]
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 3953, "need_tools_kwargs": true, "question": "Quadrilateral $PQRS$ is inscribed in a circle with segment $PR$ as a diameter of the circle. If $m\\angle PQR = 15^\\circ$ and $m\\angle QPR = 60^\\circ$, the ratio of the area of $PQRS$ to the area of the circle can be expressed as a common fraction in simplest radical form in terms of $\\pi$ as $\\frac{a+\\sqrt{b}}{c\\pi}$, where $a,$ $b,$ and $c$ are positive integers. What is the value of $a + b + c$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the performer of song I Don'T Care (Eva Tanguay Song)?", "role": "user" } ]
qa
{ "ground_truth": "Canadian", "style": "rule" }
{ "index": 3954, "need_tools_kwargs": true, "question": "What nationality is the performer of song I Don'T Care (Eva Tanguay 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": "There is an unknown number. When divided by 5, there is no remainder. When divided by 715, the remainder is 10. When divided by 247, the remainder is 140. When divided by 391, the remainder is 245. When divided by 187, the remainder is 109. What is the number?", "role": "user" } ]
math
{ "ground_truth": "10020", "style": "rule" }
{ "index": 3955, "need_tools_kwargs": true, "question": "There is an unknown number. When divided by 5, there is no remainder. When divided by 715, the remainder is 10. When divided by 247, the remainder is 140. When divided by 391, the remainder is 245. When divided by 187, the remainder is 109. What is the 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": "The Sturmgewehr 52 was heavily patterned after which selective-fire automatic rifle produced in Nazi Germany during World War II?", "role": "user" } ]
qa
{ "ground_truth": "FG 42", "style": "rule" }
{ "index": 3956, "need_tools_kwargs": true, "question": "The Sturmgewehr 52 was heavily patterned after which selective-fire automatic rifle produced in Nazi Germany 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": "Which film was released first, Phool Aur Patthar or A Dandy In Aspic?", "role": "user" } ]
qa
{ "ground_truth": "Phool Aur Patthar", "style": "rule" }
{ "index": 3957, "need_tools_kwargs": true, "question": "Which film was released first, Phool Aur Patthar or A Dandy In Aspic?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Philip Glazebrook and Marko Ivović from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3958, "need_tools_kwargs": true, "question": "Are both Philip Glazebrook and Marko Ivović 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": "How many children did the follower of the Puritan clergyman who received both a B.A. and M.A. at Sidney Sussex College, Cambridge in the seventeenth century have?", "role": "user" } ]
qa
{ "ground_truth": "11 children", "style": "rule" }
{ "index": 3959, "need_tools_kwargs": true, "question": "How many children did the follower of the Puritan clergyman who received both a B.A. and M.A. at Sidney Sussex College, Cambridge in the seventeenth century 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": "Between Chad Kroeger and Benjamin Burnley, who has written more for films?", "role": "user" } ]
qa
{ "ground_truth": "Chad Robert Turton", "style": "rule" }
{ "index": 3960, "need_tools_kwargs": true, "question": "Between Chad Kroeger and Benjamin Burnley, who has written more for films?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let $D$ be the footpoint of the altitude from $B$ in the triangle $ABC$, where $AB=1$. The incircle of triangle $BCD$ coincides with the centroid of triangle $ABC$. Find the lengths of $AC$ and $BC$. The original answer is in the form \\sqrt{\\frac{k}{m}}, please give the value of k + m.", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 3961, "need_tools_kwargs": true, "question": "Let $D$ be the footpoint of the altitude from $B$ in the triangle $ABC$, where $AB=1$. The incircle of triangle $BCD$ coincides with the centroid of triangle $ABC$. Find the lengths of $AC$ and $BC$. The original answer is in the form \\sqrt{\\frac{k}{m}}, please give the value of k + m.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are both villages, Cacela Velha and Damasta, Heraklion, located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3962, "need_tools_kwargs": true, "question": "Are both villages, Cacela Velha and Damasta, Heraklion, 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": "How many National Film Awards did the main actor in Awaargi win?", "role": "user" } ]
qa
{ "ground_truth": "two National Film Awards", "style": "rule" }
{ "index": 3963, "need_tools_kwargs": true, "question": "How many National Film Awards did the main actor in Awaargi 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": "Which Definitely, Maybe star is from Australia? ", "role": "user" } ]
qa
{ "ground_truth": "Isla Lang Fisher", "style": "rule" }
{ "index": 3964, "need_tools_kwargs": true, "question": "Which Definitely, Maybe star is from Australia? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 short film did the director of the 2014 Danish crime mystery film, \"The Absent One\", create as a graduation project?", "role": "user" } ]
qa
{ "ground_truth": "Woyzeck’s Last Symphony", "style": "rule" }
{ "index": 3965, "need_tools_kwargs": true, "question": "Which short film did the director of the 2014 Danish crime mystery film, \"The Absent One\", create as a graduation project?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When is the director of film The Virginian (1923 Film) 's birthday?", "role": "user" } ]
qa
{ "ground_truth": "February 22, 1893", "style": "rule" }
{ "index": 3966, "need_tools_kwargs": true, "question": "When is the director of film The Virginian (1923 Film) 's birthday?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When did the founder of magazine Oz (Magazine) die?", "role": "user" } ]
qa
{ "ground_truth": "4 September 2016", "style": "rule" }
{ "index": 3967, "need_tools_kwargs": true, "question": "When did the founder of magazine Oz (Magazine) 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 was the ESPN analyst born who was was involved in an incident in 2003, in which a drunk Namath asked her to kiss him?", "role": "user" } ]
qa
{ "ground_truth": "May 14, 1964", "style": "rule" }
{ "index": 3968, "need_tools_kwargs": true, "question": "When was the ESPN analyst born who was was involved in an incident in 2003, in which a drunk Namath asked her to kiss him?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 distance between the foci of the hyperbola $x^2 - 8x - 16y^2 - 16y = 48$.", "role": "user" } ]
math
{ "ground_truth": "2\\sqrt{63.75}", "style": "rule" }
{ "index": 3969, "need_tools_kwargs": true, "question": "Find the distance between the foci of the hyperbola $x^2 - 8x - 16y^2 - 16y = 48$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sibling of the person who developed Virgin and Child with Canon van der Paele?", "role": "user" } ]
qa
{ "ground_truth": "Hubert Van Eyck", "style": "rule" }
{ "index": 3970, "need_tools_kwargs": true, "question": "Who is the sibling of the person who developed Virgin and Child with Canon van der Paele?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "设正数 $a_{1}, a_{2}, a_{3}, b_{1}, b_{2}, b_{3}$ 满足: $a_{1}, a_{2}, a_{3}$ 成公差为 $b_{1}$ 的等差数列, $b_{1}, b_{2}, b_{3}$ 成公比为 $a_{1}$ 的等比数列, 且 $a_{3}=b_{3}$. 求 $a_{3}$ 的最小值, 并确定当 $a_{3}$ 取到最小值时 $a_{2} b_{2}$ 的值。原始答案为$\\frac{m\\sqrt{n}}{k}$格式,请给出$m + n + k$的值。", "role": "user" } ]
math
{ "ground_truth": "29", "style": "rule" }
{ "index": 3971, "need_tools_kwargs": true, "question": "设正数 $a_{1}, a_{2}, a_{3}, b_{1}, b_{2}, b_{3}$ 满足: $a_{1}, a_{2}, a_{3}$ 成公差为 $b_{1}$ 的等差数列, $b_{1}, b_{2}, b_{3}$ 成公比为 $a_{1}$ 的等比数列, 且 $a_{3}=b_{3}$. 求 $a_{3}$ 的最小值, 并确定当 $a_{3}$ 取到最小值时 $a_{2} b_{2}$ 的值。原始答案为$\\frac{m\\sqrt{n}}{k}$格式,请给出$m + n + k$的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The volume of pyramid \\(ABCD\\) is 5. A plane is drawn through the midpoints of edges \\(AD\\) and \\(BC\\), intersecting edge \\(CD\\) at point \\(M\\), such that the ratio \\(DM:MC = 2:3\\). Given that the distance from this plane to vertex \\(A\\) is 1, determine the area of the cross-section of the pyramid formed by the plane.", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "index": 3972, "need_tools_kwargs": true, "question": "The volume of pyramid \\(ABCD\\) is 5. A plane is drawn through the midpoints of edges \\(AD\\) and \\(BC\\), intersecting edge \\(CD\\) at point \\(M\\), such that the ratio \\(DM:MC = 2:3\\). Given that the distance from this plane to vertex \\(A\\) is 1, determine the area of the cross-section of the pyramid formed by the plane.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 random variable $X$ follows a normal distribution $N(1, 4)$, where the mean $\\mu = 1$ and the variance $\\sigma^2 = 4$. If $P(X \\geq 2) = 0.2$, then the probability $P(0 \\leq X \\leq 1)$ is ( ).\n\nA: 0.2 \nB: 0.6 \nC: 0.4 \nD: 0.3", "role": "user" } ]
math
{ "ground_truth": "0.3", "style": "rule" }
{ "index": 3973, "need_tools_kwargs": true, "question": "The random variable $X$ follows a normal distribution $N(1, 4)$, where the mean $\\mu = 1$ and the variance $\\sigma^2 = 4$. If $P(X \\geq 2) = 0.2$, then the probability $P(0 \\leq X \\leq 1)$ is ( ).\n\nA: 0.2 \nB: 0.6 \nC: 0.4 \nD: 0.3", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality was the actor in a crime thriller that premiered in September 2008?", "role": "user" } ]
qa
{ "ground_truth": "English", "style": "rule" }
{ "index": 3974, "need_tools_kwargs": true, "question": "What nationality was the actor in a crime thriller that premiered in September 2008?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 remainder when the sum\n\\[\\binom{2013}{1} + 2013\\binom{2013}{3} + 2013^2\\binom{2013}{5} + \\dots + 2013^{1006}\\binom{2013}{2013}\\]\nis divided by $41$?", "role": "user" } ]
math
{ "ground_truth": "20", "style": "rule" }
{ "index": 3975, "need_tools_kwargs": true, "question": "What is the remainder when the sum\n\\[\\binom{2013}{1} + 2013\\binom{2013}{3} + 2013^2\\binom{2013}{5} + \\dots + 2013^{1006}\\binom{2013}{2013}\\]\nis divided by $41$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Calculate the infinite sum:\n\\[\n\\sum_{n=1}^\\infty \\frac{n^3 - n}{(n+3)!}\n\\]", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{6}", "style": "rule" }
{ "index": 3976, "need_tools_kwargs": true, "question": "Calculate the infinite sum:\n\\[\n\\sum_{n=1}^\\infty \\frac{n^3 - n}{(n+3)!}\n\\]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the sequence $\\{a_n\\}$, $a_{n+1} + (-1)^n a_n = 2n - 1$. Calculate the sum of the first 12 terms of $\\{a_n\\}$.", "role": "user" } ]
math
{ "ground_truth": "78", "style": "rule" }
{ "index": 3977, "need_tools_kwargs": true, "question": "In the sequence $\\{a_n\\}$, $a_{n+1} + (-1)^n a_n = 2n - 1$. Calculate the sum of the first 12 terms of $\\{a_n\\}$.", "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": "Calculate the area enclosed by the Bernoulli lemniscate \\( r^{2} = a^{2} \\cos 2\\varphi \\).", "role": "user" } ]
math
{ "ground_truth": "a^2", "style": "rule" }
{ "index": 3978, "need_tools_kwargs": true, "question": "Calculate the area enclosed by the Bernoulli lemniscate \\( r^{2} = a^{2} \\cos 2\\varphi \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Does the TechCrunch article suggest that Binance withdrew funds from FTX, while the Cnbc | World Business News Leader article indicates that Binance's CEO is stepping down, contrasting the operational and leadership statuses of Binance in the two reports?", "role": "user" } ]
qa
{ "ground_truth": "Yes", "style": "rule" }
{ "index": 3979, "need_tools_kwargs": true, "question": "Does the TechCrunch article suggest that Binance withdrew funds from FTX, while the Cnbc | World Business News Leader article indicates that Binance's CEO is stepping down, contrasting the operational and leadership statuses of Binance in the two reports?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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. Let $\\Gamma_{1}$ and $\\Gamma_{2}$ be externally tangent circles with radii $\\frac{1}{2}$ and $\\frac{1}{8}$, respectively. The line $\\ell$ is a common external tangent to $\\Gamma_{1}$ and $\\Gamma_{2}$. For $n \\geq 3$, we define $\\Gamma_{n}$ as the smallest circle tangent to $\\Gamma_{n-1}, \\Gamma_{n-2}$, and $\\ell$. The radius of $\\Gamma_{10}$ can be expressed as $\\frac{a}{b}$ where $a, b$ are relatively prime positive integers. Find $a+b$.", "role": "user" } ]
math
{ "ground_truth": "15843", "style": "rule" }
{ "index": 3980, "need_tools_kwargs": true, "question": "2. Let $\\Gamma_{1}$ and $\\Gamma_{2}$ be externally tangent circles with radii $\\frac{1}{2}$ and $\\frac{1}{8}$, respectively. The line $\\ell$ is a common external tangent to $\\Gamma_{1}$ and $\\Gamma_{2}$. For $n \\geq 3$, we define $\\Gamma_{n}$ as the smallest circle tangent to $\\Gamma_{n-1}, \\Gamma_{n-2}$, and $\\ell$. The radius of $\\Gamma_{10}$ can be expressed as $\\frac{a}{b}$ where $a, b$ are relatively prime positive integers. Find $a+b$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are the directors of both films Pet Sematary (1989 Film) and Lovers (1927 Film) from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 3981, "need_tools_kwargs": true, "question": "Are the directors of both films Pet Sematary (1989 Film) and Lovers (1927 Film) from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Exhibit a $13$ -digit integer $N$ that is an integer multiple of $2^{13}$ and whose digits consist of only $8$ s and $9$ s.", "role": "user" } ]
math
{ "ground_truth": "8888888888888", "style": "rule" }
{ "index": 3982, "need_tools_kwargs": true, "question": "Exhibit a $13$ -digit integer $N$ that is an integer multiple of $2^{13}$ and whose digits consist of only $8$ s and $9$ s.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 kind of group does Madmen and DC Comics have in common?", "role": "user" } ]
qa
{ "ground_truth": "team", "style": "rule" }
{ "index": 3983, "need_tools_kwargs": true, "question": "What kind of group does Madmen and DC Comics 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": "ReJoyce: The Christmas Album is the fourth studio album by American pop singer Jessica Simpson, Simpson has said that which American singer, songwriter, musician, author and media personality, is one of her favorite recording artists and her role model? ", "role": "user" } ]
qa
{ "ground_truth": "Amy Lee Grant", "style": "rule" }
{ "index": 3984, "need_tools_kwargs": true, "question": "ReJoyce: The Christmas Album is the fourth studio album by American pop singer Jessica Simpson, Simpson has said that which American singer, songwriter, musician, author and media personality, is one of her favorite recording artists and her role model? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 scores on David's first two tests were 92 and 86. After three more tests, the mean score for all five tests was 90. Each test score was less than 95, and all of David's test scores were different integer values. List David's five test scores from the greatest to the least, separated by commas.", "role": "user" } ]
math
{ "ground_truth": "94, 92, 91, 87, 86", "style": "rule" }
{ "index": 3985, "need_tools_kwargs": true, "question": "The scores on David's first two tests were 92 and 86. After three more tests, the mean score for all five tests was 90. Each test score was less than 95, and all of David's test scores were different integer values. List David's five test scores from the greatest to the least, separated by commas.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 English architect who specialized in the early modernist period graduated from which public research university in London?", "role": "user" } ]
qa
{ "ground_truth": "The Royal College of Art", "style": "rule" }
{ "index": 3986, "need_tools_kwargs": true, "question": "The English architect who specialized in the early modernist period graduated from which public research university in London?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the diagram, \\(P Q R S\\) is a rectangle with \\(PQ=5\\) and \\(QR=3\\). \\(PR\\) is divided into three segments of equal length by points \\(T\\) and \\(U\\). The area of quadrilateral \\(STQU\\) is:\n(A) \\(\\frac{17}{3}\\)\n(B) 5\n(C) \\(\\frac{5}{2}\\)\n(D) \\(\\frac{\\sqrt{34}}{3}\\)\n(E) \\(\\sqrt{34}\\)", "role": "user" } ]
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 3987, "need_tools_kwargs": true, "question": "In the diagram, \\(P Q R S\\) is a rectangle with \\(PQ=5\\) and \\(QR=3\\). \\(PR\\) is divided into three segments of equal length by points \\(T\\) and \\(U\\). The area of quadrilateral \\(STQU\\) is:\n(A) \\(\\frac{17}{3}\\)\n(B) 5\n(C) \\(\\frac{5}{2}\\)\n(D) \\(\\frac{\\sqrt{34}}{3}\\)\n(E) \\(\\sqrt{34}\\)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given that the coordinates of point $P$ are $\\left(a,2a-1\\right)$ and point $P$ lies on the bisector of the two coordinate axes in the first and third quadrants, the coordinates of point $P$ are ______.", "role": "user" } ]
math
{ "ground_truth": "(1,1)", "style": "rule" }
{ "index": 3988, "need_tools_kwargs": true, "question": "Given that the coordinates of point $P$ are $\\left(a,2a-1\\right)$ and point $P$ lies on the bisector of the two coordinate axes in the first and third quadrants, the coordinates of point $P$ are ______.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Eleanor Fulton Laing is a British Conservative politician, who has represented Epping Forest as the constituency's Member of Parliament, in October 2013, fellow MPs elected her as a Deputy Speaker of the House of Commons, replacing which British politician?", "role": "user" } ]
qa
{ "ground_truth": "Nigel Martin Evans", "style": "rule" }
{ "index": 3989, "need_tools_kwargs": true, "question": "Eleanor Fulton Laing is a British Conservative politician, who has represented Epping Forest as the constituency's Member of Parliament, in October 2013, fellow MPs elected her as a Deputy Speaker of the House of Commons, replacing which British politician?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When was Elisabeth, Countess Of Vermandois's mother born?", "role": "user" } ]
qa
{ "ground_truth": "1125", "style": "rule" }
{ "index": 3990, "need_tools_kwargs": true, "question": "When was Elisabeth, Countess Of Vermandois's mother 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": "A certain community activity requires volunteers to participate in service for six consecutive days, with only one volunteer needed each day. There are six volunteers named A, B, C, D, E, F. They are planned to participate in the community service consecutively. It is required that A is not arranged on the first day, and B and C participate in service on two consecutive days. The total number of different arrangements is ( ).\n\nA: 72\n\nB: 81\n\nC: 144\n\nD: 192", "role": "user" } ]
math
{ "ground_truth": "192", "style": "rule" }
{ "index": 3991, "need_tools_kwargs": true, "question": "A certain community activity requires volunteers to participate in service for six consecutive days, with only one volunteer needed each day. There are six volunteers named A, B, C, D, E, F. They are planned to participate in the community service consecutively. It is required that A is not arranged on the first day, and B and C participate in service on two consecutive days. The total number of different arrangements is ( ).\n\nA: 72\n\nB: 81\n\nC: 144\n\nD: 192", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sum of the digits of all numbers from 1 to 1,000,000 inclusive. For the resulting numbers, consider the sum of the digits again, and so on, until we obtain a million single-digit numbers. Which numbers are more among them - ones or twos?", "role": "user" } ]
math
{ "ground_truth": "ones", "style": "rule" }
{ "index": 3992, "need_tools_kwargs": true, "question": "Consider the sum of the digits of all numbers from 1 to 1,000,000 inclusive. For the resulting numbers, consider the sum of the digits again, and so on, until we obtain a million single-digit numbers. Which numbers are more among them - ones or twos?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 triangle $ABC$ , $AB = AC = 100$ , and $BC = 56$ . Circle $P$ has radius $16$ and is tangent to $\\overline{AC}$ and $\\overline{BC}$ . Circle $Q$ is externally tangent to circle $P$ and is tangent to $\\overline{AB}$ and $\\overline{BC}$ . No point of circle $Q$ lies outside of $\\bigtriangleup\\overline{ABC}$ . The radius of circle $Q$ can be expressed in the form $m - n\\sqrt{k}$ ,where $m$ , $n$ , and $k$ are positive integers and $k$ is the product of distinct primes. Find $m +nk$ .", "role": "user" } ]
math
{ "ground_truth": "254", "style": "rule" }
{ "index": 3993, "need_tools_kwargs": true, "question": "In triangle $ABC$ , $AB = AC = 100$ , and $BC = 56$ . Circle $P$ has radius $16$ and is tangent to $\\overline{AC}$ and $\\overline{BC}$ . Circle $Q$ is externally tangent to circle $P$ and is tangent to $\\overline{AB}$ and $\\overline{BC}$ . No point of circle $Q$ lies outside of $\\bigtriangleup\\overline{ABC}$ . The radius of circle $Q$ can be expressed in the form $m - n\\sqrt{k}$ ,where $m$ , $n$ , and $k$ are positive integers and $k$ is the product of distinct primes. Find $m +nk$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where did Charlotte, Queen Of Cyprus's father die?", "role": "user" } ]
qa
{ "ground_truth": "Nicosia", "style": "rule" }
{ "index": 3994, "need_tools_kwargs": true, "question": "Where did Charlotte, Queen Of Cyprus's father 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": "Are both San Diego Hall Of Champions and Rozhdestveno Memorial Estate located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3995, "need_tools_kwargs": true, "question": "Are both San Diego Hall Of Champions and Rozhdestveno Memorial Estate 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": "Without stoppages, a train travels a certain distance with an average speed of 250 km/h, and with stoppages, it covers the same distance with an average speed of 125 km/h. How many minutes per hour does the train stop?", "role": "user" } ]
math
{ "ground_truth": "14.4", "style": "rule" }
{ "index": 3996, "need_tools_kwargs": true, "question": "Without stoppages, a train travels a certain distance with an average speed of 250 km/h, and with stoppages, it covers the same distance with an average speed of 125 km/h. How many minutes per hour does the train stop?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $a$ and $b$ satisfy the conditions \\( \\begin{cases} a^3 - 6a^2 + 15a = 9 \\\\ b^3 - 3b^2 + 6b = -1 \\end{cases} \\). Find the value of \\((a - b)^{2014}\\).", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 3997, "need_tools_kwargs": true, "question": "Let $a$ and $b$ satisfy the conditions \\( \\begin{cases} a^3 - 6a^2 + 15a = 9 \\\\ b^3 - 3b^2 + 6b = -1 \\end{cases} \\). Find the value of \\((a - b)^{2014}\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 mountain range contains the highest rise of the Hazel River?", "role": "user" } ]
qa
{ "ground_truth": "the Blue Ridge Mountains", "style": "rule" }
{ "index": 3998, "need_tools_kwargs": true, "question": "Which mountain range contains the highest rise of the Hazel River?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When is the director of film Red Line (1959 Film) 's birthday?", "role": "user" } ]
qa
{ "ground_truth": "12 January 1924", "style": "rule" }
{ "index": 3999, "need_tools_kwargs": true, "question": "When is the director of film Red Line (1959 Film) 's birthday?", "split": "train" }
null