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null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Suppose you have three children and 40 pieces of candy. How many ways are there to distribute the candy such that each child gets more than one but fewer than 20 pieces?", "role": "user" } ]
math
{ "ground_truth": "171", "style": "rule" }
{ "index": 1600, "need_tools_kwargs": true, "question": "Suppose you have three children and 40 pieces of candy. How many ways are there to distribute the candy such that each child gets more than one but fewer than 20 pieces?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 first five letters of the alphabet are assigned the values \\( A=1, B=2, C=3, D=4, \\) and \\( E=5 \\). The value of a word equals the sum of the values of its letters. For example, the value of \\( B A D \\) is \\( 2+1+4=7 \\). Which of the following words has the largest value?\n(A) \\( B A D \\)\n(B) \\( C A B \\)\n(C) \\( D A D \\)\n(D) \\( B E E \\)\n(E) \\( B E D \\)", "role": "user" } ]
math
{ "ground_truth": "BEE", "style": "rule" }
{ "index": 1601, "need_tools_kwargs": true, "question": "The first five letters of the alphabet are assigned the values \\( A=1, B=2, C=3, D=4, \\) and \\( E=5 \\). The value of a word equals the sum of the values of its letters. For example, the value of \\( B A D \\) is \\( 2+1+4=7 \\). Which of the following words has the largest value?\n(A) \\( B A D \\)\n(B) \\( C A B \\)\n(C) \\( D A D \\)\n(D) \\( B E E \\)\n(E) \\( B E D \\)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a former professional American football quarterback who broke his left hand and had a professional American football halfback replace him however he was relieved by Tittle in the fourth quarter of the game? ", "role": "user" } ]
qa
{ "ground_truth": "Yelberton Abraham Tittle Jr.", "style": "rule" }
{ "index": 1602, "need_tools_kwargs": true, "question": "Who is a former professional American football quarterback who broke his left hand and had a professional American football halfback replace him however he was relieved by Tittle in the fourth quarter of the game? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 wants to help destroy the one ring?", "role": "user" } ]
qa
{ "ground_truth": "become ensnared", "style": "rule" }
{ "index": 1603, "need_tools_kwargs": true, "question": "Who wants to help destroy the one ring?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "\nFind two integers \\( A \\) and \\( B \\) that are 1 unit apart on the number line and possess the following property: a root of the equation \\( x^{3}+5x^{2}-3x+1=0 \\) lies in the interval \\( (A, B) \\).", "role": "user" } ]
math
{ "ground_truth": "(-6, -5)", "style": "rule" }
{ "index": 1604, "need_tools_kwargs": true, "question": "\nFind two integers \\( A \\) and \\( B \\) that are 1 unit apart on the number line and possess the following property: a root of the equation \\( x^{3}+5x^{2}-3x+1=0 \\) lies in the interval \\( (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": "Suppose that $P = 2^m$ and $Q = 3^n$. Which of the following is equal to $12^{mn}$ for every pair of integers $(m,n)$?\n$\\textbf{(A)}\\ P^2Q \\qquad \\textbf{(B)}\\ P^nQ^m \\qquad \\textbf{(C)}\\ P^nQ^{2m} \\qquad \\textbf{(D)}\\ P^{2m}Q^n \\qquad \\textbf{(E)}\\ P^{2n}Q^m$", "role": "user" } ]
math
{ "ground_truth": "P^{2n}Q^m", "style": "rule" }
{ "index": 1605, "need_tools_kwargs": true, "question": "Suppose that $P = 2^m$ and $Q = 3^n$. Which of the following is equal to $12^{mn}$ for every pair of integers $(m,n)$?\n$\\textbf{(A)}\\ P^2Q \\qquad \\textbf{(B)}\\ P^nQ^m \\qquad \\textbf{(C)}\\ P^nQ^{2m} \\qquad \\textbf{(D)}\\ P^{2m}Q^n \\qquad \\textbf{(E)}\\ P^{2n}Q^m$", "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": "Given an odd function $f(x)$ defined on $\\mathbb{R}$ such that when $x > 0$, $f(x) = x^{2} - 2x - 3$. \n$(1)$ Find the analytical expression of the function $f(x)$. \n$(2)$ If there exist $x_{1}$, $x_{2} \\in [-4,4]$ such that $|f(x_{1}) - f(x_{2})| \\geq m$, find the range of real number $m$.", "role": "user" } ]
math
{ "ground_truth": "(-\\infty, 10]", "style": "rule" }
{ "index": 1606, "need_tools_kwargs": true, "question": "Given an odd function $f(x)$ defined on $\\mathbb{R}$ such that when $x > 0$, $f(x) = x^{2} - 2x - 3$. \n$(1)$ Find the analytical expression of the function $f(x)$. \n$(2)$ If there exist $x_{1}$, $x_{2} \\in [-4,4]$ such that $|f(x_{1}) - f(x_{2})| \\geq m$, find the range of real number $m$.", "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": "What is the date of death of Walter De Frece's wife?", "role": "user" } ]
qa
{ "ground_truth": "16 September 1952", "style": "rule" }
{ "index": 1607, "need_tools_kwargs": true, "question": "What is the date of death of Walter De Frece's wife?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the director of film Two Tickets To London born?", "role": "user" } ]
qa
{ "ground_truth": "Jersey City", "style": "rule" }
{ "index": 1608, "need_tools_kwargs": true, "question": "Where was the director of film Two Tickets To London 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": "Squares are constructed on each of the sides of triangle $\\triangle ABC$, as shown. If the perimeter of $\\triangle ABC$ is 17, then what is the perimeter of the nine-sided figure that is composed of the remaining three sides of each of the squares? [asy]\nimport olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;\npicture a;\ndraw(a,(0,0)--(3,0)--(0,4)--cycle);\nlabel(\"$A$\",(-2.1,-2.2),SW);\nlabel(\"$B$\",(3.1,-2.2),SE);\nlabel(\"$C$\",(0.05,0.3),N);\ndraw(a,(3,0)--(3,-3)--(0,-3)--(0,0));\ndraw(a,(0,0)--(-4,0)--(-4,4)--(0,4));\ndraw(a,shift(-2.4,2.2)*rotate(90 - aTan(4/3))*((3,0)--(8,0)--(8,-5)--(3,-5)));\nadd(currentpicture,rotate(-130)*a);\n[/asy]", "role": "user" } ]
math
{ "ground_truth": "51", "style": "rule" }
{ "index": 1609, "need_tools_kwargs": true, "question": "Squares are constructed on each of the sides of triangle $\\triangle ABC$, as shown. If the perimeter of $\\triangle ABC$ is 17, then what is the perimeter of the nine-sided figure that is composed of the remaining three sides of each of the squares? [asy]\nimport olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;\npicture a;\ndraw(a,(0,0)--(3,0)--(0,4)--cycle);\nlabel(\"$A$\",(-2.1,-2.2),SW);\nlabel(\"$B$\",(3.1,-2.2),SE);\nlabel(\"$C$\",(0.05,0.3),N);\ndraw(a,(3,0)--(3,-3)--(0,-3)--(0,0));\ndraw(a,(0,0)--(-4,0)--(-4,4)--(0,4));\ndraw(a,shift(-2.4,2.2)*rotate(90 - aTan(4/3))*((3,0)--(8,0)--(8,-5)--(3,-5)));\nadd(currentpicture,rotate(-130)*a);\n[/asy]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which country the director of film Death And Diamonds (Film) is from?", "role": "user" } ]
qa
{ "ground_truth": "Austria", "style": "rule" }
{ "index": 1610, "need_tools_kwargs": true, "question": "Which country the director of film Death And Diamonds (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": "On a rectangular sheet of paper, a picture in the shape of a \"cross\" is drawn from two rectangles \\(ABCD\\) and \\(EFGH\\), whose sides are parallel to the edges of the sheet. It is known that \\(AB = 9\\), \\(BC = 5\\), \\(EF = 3\\), and \\(FG = 10\\). Find the area of the quadrilateral \\(AFCH\\).", "role": "user" } ]
math
{ "ground_truth": "52.5", "style": "rule" }
{ "index": 1611, "need_tools_kwargs": true, "question": "On a rectangular sheet of paper, a picture in the shape of a \"cross\" is drawn from two rectangles \\(ABCD\\) and \\(EFGH\\), whose sides are parallel to the edges of the sheet. It is known that \\(AB = 9\\), \\(BC = 5\\), \\(EF = 3\\), and \\(FG = 10\\). Find the area of the quadrilateral \\(AFCH\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Consider the polynomial \n\\[\nP(x) = \\prod_{k=0}^{10}(x^{2^k} + 2^k) = (x+1)(x^2+2)(x^4+4)\\cdots(x^{1024}+1024).\n\\]\nDetermine the value of \\(a\\) such that the coefficient of \\(x^{2012}\\) in \\(P(x)\\) can be expressed as \\(2^a\\).", "role": "user" } ]
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 1612, "need_tools_kwargs": true, "question": "Consider the polynomial \n\\[\nP(x) = \\prod_{k=0}^{10}(x^{2^k} + 2^k) = (x+1)(x^2+2)(x^4+4)\\cdots(x^{1024}+1024).\n\\]\nDetermine the value of \\(a\\) such that the coefficient of \\(x^{2012}\\) in \\(P(x)\\) can be expressed as \\(2^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 Return Of Pink Five?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 1613, "need_tools_kwargs": true, "question": "What nationality is the director of film Return Of Pink Five?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Guelwaar and Rooms To Let have the directors from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 1614, "need_tools_kwargs": true, "question": "Do both films Guelwaar and Rooms To Let 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 did the 2010 coach of the Ohio Bobcats coach from 1998 to 2003?", "role": "user" } ]
qa
{ "ground_truth": "University of Nebraska–Lincoln", "style": "rule" }
{ "index": 1615, "need_tools_kwargs": true, "question": "Where did the 2010 coach of the Ohio Bobcats coach from 1998 to 2003?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sequence $(b_n)$ is defined as follows: $b_1 = 1,$ $b_2 = 2,$ $b_3 = 3,$ and\n\\[b_n = \\frac{2(b_{n - 1} - b_{n - 2})}{b_{n - 3}}\\] for all $n \\ge 4.$ Calculate $b_{15}$.", "role": "user" } ]
math
{ "ground_truth": "0", "style": "rule" }
{ "index": 1616, "need_tools_kwargs": true, "question": "A sequence $(b_n)$ is defined as follows: $b_1 = 1,$ $b_2 = 2,$ $b_3 = 3,$ and\n\\[b_n = \\frac{2(b_{n - 1} - b_{n - 2})}{b_{n - 3}}\\] for all $n \\ge 4.$ Calculate $b_{15}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Source: 2017 Canadian Open Math Challenge, Problem A4\n-----\nThree positive integers $a$ , $b$ , $c$ satisfy $$ 4^a \\cdot 5^b \\cdot 6^c = 8^8 \\cdot 9^9 \\cdot 10^{10}. $$ Determine the sum of $a + b + c$ .\n", "role": "user" } ]
math
{ "ground_truth": "36", "style": "rule" }
{ "index": 1617, "need_tools_kwargs": true, "question": "Source: 2017 Canadian Open Math Challenge, Problem A4\n-----\nThree positive integers $a$ , $b$ , $c$ satisfy $$ 4^a \\cdot 5^b \\cdot 6^c = 8^8 \\cdot 9^9 \\cdot 10^{10}. $$ Determine the sum of $a + b + c$ .\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 is the smallest number after $3456$ whose digits add up to $12$?", "role": "user" } ]
math
{ "ground_truth": "3504", "style": "rule" }
{ "index": 1618, "need_tools_kwargs": true, "question": "What is the smallest number after $3456$ whose digits add up to $12$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Whore And The Whale born?", "role": "user" } ]
qa
{ "ground_truth": "19 February 1946", "style": "rule" }
{ "index": 1619, "need_tools_kwargs": true, "question": "When was the director of film The Whore And The Whale 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": "Triangle $ABC$ has $AB = 13, BC = 14$, and $AC = 15$. The points $D, E$, and $F$ are the midpoints of $\\overline{AB}, \\overline{BC}$, and $\\overline{AC}$ respectively. Let $X \\neq E$ be the intersection of the circumcircles of $\\triangle BDE$ and $\\triangle CEF$. What is $XA + XB + XC$?", "role": "user" } ]
math
{ "ground_truth": "\\frac{195}{8}", "style": "rule" }
{ "index": 1620, "need_tools_kwargs": true, "question": "Triangle $ABC$ has $AB = 13, BC = 14$, and $AC = 15$. The points $D, E$, and $F$ are the midpoints of $\\overline{AB}, \\overline{BC}$, and $\\overline{AC}$ respectively. Let $X \\neq E$ be the intersection of the circumcircles of $\\triangle BDE$ and $\\triangle CEF$. What is $XA + XB + XC$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 is the species Acanthops bidens native to?", "role": "user" } ]
qa
{ "ground_truth": "Mexico", "style": "rule" }
{ "index": 1621, "need_tools_kwargs": true, "question": "Which country is the species Acanthops bidens native to?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $P(x)$ and $Q(x)$ be distinct, non-constant polynomials such that\n\\[P(Q(x)) = P(x) Q(x)\\]for all $x.$ If $P(1) = P(-1) = 100,$ then find the polynomial $Q(x)$ in the form $ax^2 + b$. Please give the value of $a + b$.", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 1622, "need_tools_kwargs": true, "question": "Let $P(x)$ and $Q(x)$ be distinct, non-constant polynomials such that\n\\[P(Q(x)) = P(x) Q(x)\\]for all $x.$ If $P(1) = P(-1) = 100,$ then find the polynomial $Q(x)$ in the form $ax^2 + b$. Please give the value of $a + b$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of Pauline Robinson Bush's father?", "role": "user" } ]
qa
{ "ground_truth": "November 30, 2018", "style": "rule" }
{ "index": 1623, "need_tools_kwargs": true, "question": "What is the date of death of Pauline Robinson Bush's father?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A Moskvich car was sent to transport mail from the post office to the airfield. The plane carrying the mail landed earlier than expected, and the delivered mail was sent to the post office by a passing truck. After driving for 30 minutes, the truck met the Moskvich on the road, which received the mail and turned back immediately without delay. The Moskvich arrived at the post office 20 minutes earlier than usual. How many minutes earlier than the scheduled time did the plane land?", "role": "user" } ]
math
{ "ground_truth": "40", "style": "rule" }
{ "index": 1624, "need_tools_kwargs": true, "question": "A Moskvich car was sent to transport mail from the post office to the airfield. The plane carrying the mail landed earlier than expected, and the delivered mail was sent to the post office by a passing truck. After driving for 30 minutes, the truck met the Moskvich on the road, which received the mail and turned back immediately without delay. The Moskvich arrived at the post office 20 minutes earlier than usual. How many minutes earlier than the scheduled time did the plane land?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Each tire costs a certain amount, and the total cost for 8 tires is $4. How much does each tire cost?", "role": "user" } ]
math
{ "ground_truth": "\\$0.50", "style": "rule" }
{ "index": 1625, "need_tools_kwargs": true, "question": "Each tire costs a certain amount, and the total cost for 8 tires is $4. How much does each tire cost?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 date was the draft, in which Nemanja Dangubić was selected by the Philadelphia 76ers, held? ", "role": "user" } ]
qa
{ "ground_truth": "June 26, 2014", "style": "rule" }
{ "index": 1626, "need_tools_kwargs": true, "question": "What date was the draft, in which Nemanja Dangubić was selected by the Philadelphia 76ers, held? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Petya wants to list all possible sequences of 100 natural numbers where the number three appears at least once, and any two consecutive elements differ by no more than 1. How many such sequences does he need to list?", "role": "user" } ]
math
{ "ground_truth": "3^{99}-2^{99}", "style": "rule" }
{ "index": 1627, "need_tools_kwargs": true, "question": "Petya wants to list all possible sequences of 100 natural numbers where the number three appears at least once, and any two consecutive elements differ by no more than 1. How many such sequences does he need to list?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which film has the director who died later, The Evictors or Just For Tonight (Film)?", "role": "user" } ]
qa
{ "ground_truth": "The Evictors", "style": "rule" }
{ "index": 1628, "need_tools_kwargs": true, "question": "Which film has the director who died later, The Evictors or Just For Tonight (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": "Do both Kansas City Kitty and Side Street Angel films have the directors from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 1629, "need_tools_kwargs": true, "question": "Do both Kansas City Kitty and Side Street Angel 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": "Given \\( f(x)=\\frac{1+x}{2-x} \\), define \\( f_{1}(x)=f(x) \\) and \\( f_{n+1}(x)=f\\left[f_{n}(x)\\right] \\). Which of the following is the expression for \\( f_{16}(x) \\)?\nA. \\( \\frac{x+1}{x} \\)\nB. \\( \\frac{x}{x+1} \\)\nC. \\( \\frac{x}{x-1} \\)\nD. \\( \\frac{x-1}{x} \\)", "role": "user" } ]
math
{ "ground_truth": "\\frac{x - 1}{x}", "style": "rule" }
{ "index": 1630, "need_tools_kwargs": true, "question": "Given \\( f(x)=\\frac{1+x}{2-x} \\), define \\( f_{1}(x)=f(x) \\) and \\( f_{n+1}(x)=f\\left[f_{n}(x)\\right] \\). Which of the following is the expression for \\( f_{16}(x) \\)?\nA. \\( \\frac{x+1}{x} \\)\nB. \\( \\frac{x}{x+1} \\)\nC. \\( \\frac{x}{x-1} \\)\nD. \\( \\frac{x-1}{x} \\)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Haunted was originally sung by which Nigerian-born musician?", "role": "user" } ]
qa
{ "ground_truth": "Caitlín \"Cait\" O'Riordan", "style": "rule" }
{ "index": 1631, "need_tools_kwargs": true, "question": "Haunted was originally sung by which Nigerian-born musician?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Mads Clausen was the founder of what company that is a global producer of products and services that are used in areas such as cooling food, air conditioning, heating buildings, and controlling electric motors?", "role": "user" } ]
qa
{ "ground_truth": "The Danfoss Group", "style": "rule" }
{ "index": 1632, "need_tools_kwargs": true, "question": "Mads Clausen was the founder of what company that is a global producer of products and services that are used in areas such as cooling food, air conditioning, heating buildings, and controlling electric motors?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $P(x)$ be the degree three polynomial with\n\\begin{align*}\nP(1) &= \\log 1, \\\\\nP(2) &= \\log 2, \\\\\nP(3) &= \\log 3, \\\\\nP(4) &= \\log 4.\n\\end{align*}Then $P(5)$ can be expressed in the form $A \\log \\frac{B}{C},$ where $A,$ $B,$ and $C$ are positive integers, and $C$ is prime. Find $A + B + C.$", "role": "user" } ]
math
{ "ground_truth": "13", "style": "rule" }
{ "index": 1633, "need_tools_kwargs": true, "question": "Let $P(x)$ be the degree three polynomial with\n\\begin{align*}\nP(1) &= \\log 1, \\\\\nP(2) &= \\log 2, \\\\\nP(3) &= \\log 3, \\\\\nP(4) &= \\log 4.\n\\end{align*}Then $P(5)$ can be expressed in the form $A \\log \\frac{B}{C},$ where $A,$ $B,$ and $C$ are positive integers, and $C$ is prime. Find $A + B + C.$", "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 was the pseudonym of the Swiss painter Erich Wassmer?", "role": "user" } ]
qa
{ "ground_truth": "Ricco", "style": "rule" }
{ "index": 1634, "need_tools_kwargs": true, "question": "What was the pseudonym of the Swiss painter Erich Wassmer?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "You Got the Silver is a song from the album released in what month?", "role": "user" } ]
qa
{ "ground_truth": "December 1969", "style": "rule" }
{ "index": 1635, "need_tools_kwargs": true, "question": "You Got the Silver is a song from the album released in what month?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "On the first question, 40 dwarfs answered \"yes\"; on the second question, 50 dwarfs answered \"yes\"; on the third question, 70 dwarfs answered \"yes\"; and on the fourth question, 100 dwarfs answered \"yes.\" How many honest dwarfs are in the underground kingdom?", "role": "user" } ]
math
{ "ground_truth": "40", "style": "rule" }
{ "index": 1636, "need_tools_kwargs": true, "question": "On the first question, 40 dwarfs answered \"yes\"; on the second question, 50 dwarfs answered \"yes\"; on the third question, 70 dwarfs answered \"yes\"; and on the fourth question, 100 dwarfs answered \"yes.\" How many honest dwarfs are in the underground kingdom?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 regular pentagon, the measure of each interior angle is $108^{\\circ}$. If $P Q R S T$ is a regular pentagon, then the measure of $\\angle P R S$ is\n(A) $72^{\\circ}$\n(B) $54^{\\circ}$\n(C) $60^{\\circ}$\n(D) $45^{\\circ}$\n(E) $80^{\\circ}$", "role": "user" } ]
math
{ "ground_truth": "72^\\circ", "style": "rule" }
{ "index": 1637, "need_tools_kwargs": true, "question": "In a regular pentagon, the measure of each interior angle is $108^{\\circ}$. If $P Q R S T$ is a regular pentagon, then the measure of $\\angle P R S$ is\n(A) $72^{\\circ}$\n(B) $54^{\\circ}$\n(C) $60^{\\circ}$\n(D) $45^{\\circ}$\n(E) $80^{\\circ}$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "多项式序列 \\{f_n(x)\\} 满足 f_1(x)=1, f_{2n}(x)=xf_n(x), f_{2n+1}(x)=f_n(x)+f_{n+1}(x), n\\geq1. 求所有的有理数 a,使得 a 是某个 f_n(x) 的根。已知答案的形式为0, -1, -\\frac{k_1}{m_1}, -\\frac{k_2}{m_2},请给出k_1+m_1+k_2+m_2的值。", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 1638, "need_tools_kwargs": true, "question": "多项式序列 \\{f_n(x)\\} 满足 f_1(x)=1, f_{2n}(x)=xf_n(x), f_{2n+1}(x)=f_n(x)+f_{n+1}(x), n\\geq1. 求所有的有理数 a,使得 a 是某个 f_n(x) 的根。已知答案的形式为0, -1, -\\frac{k_1}{m_1}, -\\frac{k_2}{m_2},请给出k_1+m_1+k_2+m_2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 director of film Kiss Her! and director of film The Dark At The Top Of The Stairs (Film) share the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 1639, "need_tools_kwargs": true, "question": "Do director of film Kiss Her! and director of film The Dark At The Top Of The Stairs (Film) 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": "You have a $3 \\times 2021$ chessboard from which one corner square has been removed. You also have a set of $3031$ identical dominoes, each of which can cover two adjacent chessboard squares. Let $m$ be the number of ways in which the chessboard can be covered with the dominoes, without gaps or overlaps. What is the remainder when $m$ is divided by $19$?", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 1640, "need_tools_kwargs": true, "question": "You have a $3 \\times 2021$ chessboard from which one corner square has been removed. You also have a set of $3031$ identical dominoes, each of which can cover two adjacent chessboard squares. Let $m$ be the number of ways in which the chessboard can be covered with the dominoes, without gaps or overlaps. What is the remainder when $m$ is divided by $19$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "\"Jesus or a Gun\" is a single by a band formmed by Carl Bell and what bassist?", "role": "user" } ]
qa
{ "ground_truth": "Jeff Abercrombie", "style": "rule" }
{ "index": 1641, "need_tools_kwargs": true, "question": "\"Jesus or a Gun\" is a single by a band formmed by Carl Bell and what bassist?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Lucy lost one-third of her money. She then spent one-fourth of the remainder. Lucy had $30 at the beginning. How much money was left after she spent one-fourth of the remainder?", "role": "user" } ]
math
{ "ground_truth": "\\$15", "style": "rule" }
{ "index": 1642, "need_tools_kwargs": true, "question": "Lucy lost one-third of her money. She then spent one-fourth of the remainder. Lucy had $30 at the beginning. How much money was left after she spent one-fourth of the remainder?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 I walk on a moving walkway in one direction, I traverse it in 6 seconds. In the opposite direction, I traverse it in 6 minutes, which is the time it usually takes me to walk a distance of 500 meters.\n\nWhat is the length of the moving walkway?", "role": "user" } ]
math
{ "ground_truth": "16.39", "style": "rule" }
{ "index": 1643, "need_tools_kwargs": true, "question": "When I walk on a moving walkway in one direction, I traverse it in 6 seconds. In the opposite direction, I traverse it in 6 minutes, which is the time it usually takes me to walk a distance of 500 meters.\n\nWhat is the length of the moving walkway?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Evaluate the expression $3f(3) + f(27)$ for the function $f(x) = x^3 + 3\\sqrt[3]{x}$.", "role": "user" } ]
math
{ "ground_truth": "19818", "style": "rule" }
{ "index": 1644, "need_tools_kwargs": true, "question": "Evaluate the expression $3f(3) + f(27)$ for the function $f(x) = x^3 + 3\\sqrt[3]{x}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let \\\\({{a}_n}=\\dfrac{1}{n}\\sin \\dfrac{n\\pi }{25},{{s}_n}={{a}_1}+{{a}_2}+...+{{a}_n}\\\\), among \\\\(S_{1},S_{2},\\cdots,S_{50}\\\\), the number of positive numbers is ______.", "role": "user" } ]
math
{ "ground_truth": "50", "style": "rule" }
{ "index": 1645, "need_tools_kwargs": true, "question": "Let \\\\({{a}_n}=\\dfrac{1}{n}\\sin \\dfrac{n\\pi }{25},{{s}_n}={{a}_1}+{{a}_2}+...+{{a}_n}\\\\), among \\\\(S_{1},S_{2},\\cdots,S_{50}\\\\), the number of positive numbers is ______.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a regular tetrahedron \\(ABCD\\), points \\(E\\) and \\(F\\) are located on edges \\(AB\\) and \\(CD\\) respectively, such that the ratios \\(\\frac{AE}{EB}\\) and \\(\\frac{CF}{FD}\\) are both equal to \\(\\lambda\\), where \\(0 < \\lambda < +\\infty\\). Define the function \\(f(\\lambda) = \\alpha_{\\lambda} + \\beta_{\\lambda}\\), where \\(\\alpha_{\\lambda}\\) is the angle between line segments \\(EF\\) and \\(AC\\), and \\(\\beta_{\\lambda}\\) is the angle between line segments \\(EF\\) and \\(BD\\). Determine the behavior of the function \\(f(\\lambda)\\) as \\(\\lambda\\) varies.", "role": "user" } ]
math
{ "ground_truth": "90", "style": "rule" }
{ "index": 1646, "need_tools_kwargs": true, "question": "In a regular tetrahedron \\(ABCD\\), points \\(E\\) and \\(F\\) are located on edges \\(AB\\) and \\(CD\\) respectively, such that the ratios \\(\\frac{AE}{EB}\\) and \\(\\frac{CF}{FD}\\) are both equal to \\(\\lambda\\), where \\(0 < \\lambda < +\\infty\\). Define the function \\(f(\\lambda) = \\alpha_{\\lambda} + \\beta_{\\lambda}\\), where \\(\\alpha_{\\lambda}\\) is the angle between line segments \\(EF\\) and \\(AC\\), and \\(\\beta_{\\lambda}\\) is the angle between line segments \\(EF\\) and \\(BD\\). Determine the behavior of the function \\(f(\\lambda)\\) as \\(\\lambda\\) varies.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Prince Wilhelm Of Prussia (1783–1851)'s father die?", "role": "user" } ]
qa
{ "ground_truth": "16 November 1797", "style": "rule" }
{ "index": 1647, "need_tools_kwargs": true, "question": "When did Prince Wilhelm Of Prussia (1783–1851)'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": "What is a birthday of one of the sons of Tim Kennelly?", "role": "user" } ]
qa
{ "ground_truth": "1 July 1981", "style": "rule" }
{ "index": 1648, "need_tools_kwargs": true, "question": "What is a birthday of one of the sons of Tim Kennelly?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Francisco 'Paco' Antonio Candela Pascual plays his home games in which stadium ?", "role": "user" } ]
qa
{ "ground_truth": "Estadio Fernando Torres", "style": "rule" }
{ "index": 1649, "need_tools_kwargs": true, "question": "Francisco 'Paco' Antonio Candela Pascual plays his home games in which stadium ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "On what date did a Canadian politician born January 2, 1979, succeed as leader of the New Democratic Party in Canada? ", "role": "user" } ]
qa
{ "ground_truth": "October 1st", "style": "rule" }
{ "index": 1650, "need_tools_kwargs": true, "question": "On what date did a Canadian politician born January 2, 1979, succeed as leader of the New Democratic Party in Canada? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 of the following functions is monotonically decreasing in the interval $(0,+\\infty)$?\nA: $y=x^{3}$\nB: $y= \\frac {1}{x-1}$\nC: $y=\\log _{2} \\frac {1}{x}$\nD: $y=-\\tan x$", "role": "user" } ]
math
{ "ground_truth": "y=\\log _{2} \\frac {1}{x}", "style": "rule" }
{ "index": 1651, "need_tools_kwargs": true, "question": "Which of the following functions is monotonically decreasing in the interval $(0,+\\infty)$?\nA: $y=x^{3}$\nB: $y= \\frac {1}{x-1}$\nC: $y=\\log _{2} \\frac {1}{x}$\nD: $y=-\\tan x$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Suppose that \\(a\\) and \\(b\\) are positive integers such that \\(\\frac{a}{b-20}\\) and \\(\\frac{b+21}{a}\\) are positive integers. Find the maximum possible value of \\(a + b\\).", "role": "user" } ]
math
{ "ground_truth": "143", "style": "rule" }
{ "index": 1652, "need_tools_kwargs": true, "question": "Suppose that \\(a\\) and \\(b\\) are positive integers such that \\(\\frac{a}{b-20}\\) and \\(\\frac{b+21}{a}\\) are positive integers. Find the maximum possible value of \\(a + b\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Grogg takes an a × b × c rectangular block (where a, b, c are positive integers), paints the outside of it purple, and cuts it into abc small 1 × 1 × 1 cubes. He then places all the small cubes into a bag, and Winnie reaches in and randomly picks one of the small cubes. If the probability that Winnie picks a totally unpainted cube is 20%, determine all possible values of the number of cubes in the bag. Please provide the sum of all possible values.", "role": "user" } ]
math
{ "ground_truth": "880", "style": "rule" }
{ "index": 1653, "need_tools_kwargs": true, "question": "Grogg takes an a × b × c rectangular block (where a, b, c are positive integers), paints the outside of it purple, and cuts it into abc small 1 × 1 × 1 cubes. He then places all the small cubes into a bag, and Winnie reaches in and randomly picks one of the small cubes. If the probability that Winnie picks a totally unpainted cube is 20%, determine all possible values of the number of cubes in the bag. Please provide the sum of all possible values.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( \\triangle ABC \\) be a triangle with \\( AB = 5 \\), \\( AC = 8 \\), and \\( \\angle BAC = 60^\\circ \\). Let \\( UVWXYZ \\) be a regular hexagon that is inscribed inside \\( \\triangle ABC \\) such that \\( U \\) and \\( V \\) lie on side \\( BA \\), \\( W \\) and \\( X \\) lie on side \\( AC \\), and \\( Z \\) lies on side \\( CB \\). What is the side length of hexagon \\( UVWXYZ \\)?", "role": "user" } ]
math
{ "ground_truth": "\\frac{40}{21}", "style": "rule" }
{ "index": 1654, "need_tools_kwargs": true, "question": "Let \\( \\triangle ABC \\) be a triangle with \\( AB = 5 \\), \\( AC = 8 \\), and \\( \\angle BAC = 60^\\circ \\). Let \\( UVWXYZ \\) be a regular hexagon that is inscribed inside \\( \\triangle ABC \\) such that \\( U \\) and \\( V \\) lie on side \\( BA \\), \\( W \\) and \\( X \\) lie on side \\( AC \\), and \\( Z \\) lies on side \\( CB \\). What is the side length of hexagon \\( UVWXYZ \\)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "An array composed of certain nonzero natural numbers has the following properties:\n1. Each number in the array (except for 1) is divisible by at least one of $2$, $3$, or $5$.\n2. For any nonzero natural number $n$, if the array contains one of $2n$, $3n$, or $5n$, the array must also contain $n$, $2n$, $3n$, and $5n$.\nIf the number of elements in this array is between 300 and 400, then the array contains how many numbers?", "role": "user" } ]
math
{ "ground_truth": "364", "style": "rule" }
{ "index": 1655, "need_tools_kwargs": true, "question": "An array composed of certain nonzero natural numbers has the following properties:\n1. Each number in the array (except for 1) is divisible by at least one of $2$, $3$, or $5$.\n2. For any nonzero natural number $n$, if the array contains one of $2n$, $3n$, or $5n$, the array must also contain $n$, $2n$, $3n$, and $5n$.\nIf the number of elements in this array is between 300 and 400, then the array contains how many numbers?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 total of 1096 people attended the concert at the County Fair. Reserved seats cost $25.00 each and unreserved seats cost a certain amount each. If $26,170.00 was collected and 246 of each type of ticket was sold, how much did the unreserved seats cost?", "role": "user" } ]
math
{ "ground_truth": "\\$81.30", "style": "rule" }
{ "index": 1656, "need_tools_kwargs": true, "question": "A total of 1096 people attended the concert at the County Fair. Reserved seats cost $25.00 each and unreserved seats cost a certain amount each. If $26,170.00 was collected and 246 of each type of ticket was sold, how much did the unreserved seats cost?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 unit has 360 employees. They use the systematic sampling method to select 20 people for a questionnaire survey. The 360 people are randomly numbered from 1 to 360. The number of people selected among the 20 whose numbers fall within the interval [181, 288] is _____.", "role": "user" } ]
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 1657, "need_tools_kwargs": true, "question": "A unit has 360 employees. They use the systematic sampling method to select 20 people for a questionnaire survey. The 360 people are randomly numbered from 1 to 360. The number of people selected among the 20 whose numbers fall within the interval [181, 288] is _____.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The function $f$ is not defined for $x = 0,$ but for all non-zero real numbers $x,$\n\\[f(x) + 2f \\left( \\frac{1}{x} \\right) = 3x.\\]Find the real solutions to $f(x) = f(-x).$ Enter the real solutions, separated by commas.", "role": "user" } ]
math
{ "ground_truth": "\\sqrt{2},-\\sqrt{2}", "style": "rule" }
{ "index": 1658, "need_tools_kwargs": true, "question": "The function $f$ is not defined for $x = 0,$ but for all non-zero real numbers $x,$\n\\[f(x) + 2f \\left( \\frac{1}{x} \\right) = 3x.\\]Find the real solutions to $f(x) = f(-x).$ Enter the real solutions, 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 area of a triangle \\(ABC\\) is \\(\\displaystyle 40 \\text{ cm}^2\\). Points \\(D, E\\) and \\(F\\) are on sides \\(AB, BC\\) and \\(CA\\) respectively. If \\(AD = 3 \\text{ cm}, DB = 5 \\text{ cm}\\), and the area of triangle \\(ABE\\) is equal to the area of quadrilateral \\(DBEF\\), find the area of triangle \\(AEC\\) in \\(\\text{cm}^2\\).", "role": "user" } ]
math
{ "ground_truth": "15", "style": "rule" }
{ "index": 1659, "need_tools_kwargs": true, "question": "The area of a triangle \\(ABC\\) is \\(\\displaystyle 40 \\text{ cm}^2\\). Points \\(D, E\\) and \\(F\\) are on sides \\(AB, BC\\) and \\(CA\\) respectively. If \\(AD = 3 \\text{ cm}, DB = 5 \\text{ cm}\\), and the area of triangle \\(ABE\\) is equal to the area of quadrilateral \\(DBEF\\), find the area of triangle \\(AEC\\) in \\(\\text{cm}^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": "Find the four-digit number that gives a remainder of 112 when divided by 131 and a remainder of 98 when divided by 132.", "role": "user" } ]
math
{ "ground_truth": "1946", "style": "rule" }
{ "index": 1660, "need_tools_kwargs": true, "question": "Find the four-digit number that gives a remainder of 112 when divided by 131 and a remainder of 98 when divided by 132.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Yide Mansion and Bolands Centre both located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 1661, "need_tools_kwargs": true, "question": "Are Yide Mansion and Bolands Centre both located in the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What did Dennis Dugan and Steve Ihnat have in common?", "role": "user" } ]
qa
{ "ground_truth": "actor and director", "style": "rule" }
{ "index": 1662, "need_tools_kwargs": true, "question": "What did Dennis Dugan and Steve Ihnat 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": "Let \\(x\\) and \\(y\\) be positive real numbers satisfying the following system of equations:\n\\[\n\\begin{cases}\n\\sqrt{x}\\left(2 + \\dfrac{5}{x+y}\\right) = 3 \\\\\\\\\n\\sqrt{y}\\left(2 - \\dfrac{5}{x+y}\\right) = 2\n\\end{cases}\n\\]\nFind the maximum value of \\(x + y\\).", "role": "user" } ]
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 1663, "need_tools_kwargs": true, "question": "Let \\(x\\) and \\(y\\) be positive real numbers satisfying the following system of equations:\n\\[\n\\begin{cases}\n\\sqrt{x}\\left(2 + \\dfrac{5}{x+y}\\right) = 3 \\\\\\\\\n\\sqrt{y}\\left(2 - \\dfrac{5}{x+y}\\right) = 2\n\\end{cases}\n\\]\nFind the maximum value of \\(x + y\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let set $A=\\left\\{x \\mid x^{2}-[x]=2\\right\\}$ and set $B=\\{x \\mid x<2\\}$, where the symbol $[x]$ denotes the greatest integer less than or equal to $x$. Find $A \\cap B$.", "role": "user" } ]
math
{ "ground_truth": "1.73205080756888", "style": "rule" }
{ "index": 1664, "need_tools_kwargs": true, "question": "Let set $A=\\left\\{x \\mid x^{2}-[x]=2\\right\\}$ and set $B=\\{x \\mid x<2\\}$, where the symbol $[x]$ denotes the greatest integer less than or equal to $x$. Find $A \\cap B$.", "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": "A street has 50 houses on each side, for a total of 100 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses are 1, 5, 9, etc., and on the north side they are 3, 7, 11, etc. A sign painter paints house numbers on a house for $\\$1$ per digit. If he paints the appropriate house number once on each of these 100 houses, how much does he earn?", "role": "user" } ]
math
{ "ground_truth": "245", "style": "rule" }
{ "index": 1665, "need_tools_kwargs": true, "question": "A street has 50 houses on each side, for a total of 100 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses are 1, 5, 9, etc., and on the north side they are 3, 7, 11, etc. A sign painter paints house numbers on a house for $\\$1$ per digit. If he paints the appropriate house number once on each of these 100 houses, how much does he earn?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Just In with Laura Ingraham is an American news program broadcast on the Fox News Channel weekdays at 5:00 p.m. Eastern Time, the show was hosted by which American conservative talk radio host, author and conservative political commentator?", "role": "user" } ]
qa
{ "ground_truth": "Laura Anne Ingraham", "style": "rule" }
{ "index": 1666, "need_tools_kwargs": true, "question": "Just In with Laura Ingraham is an American news program broadcast on the Fox News Channel weekdays at 5:00 p.m. Eastern Time, the show was hosted by which American conservative talk radio host, author and conservative political commentator?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Are the directors of films The Burrowers and Point Of No Return (1993 Film) both from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 1667, "need_tools_kwargs": true, "question": "Are the directors of films The Burrowers and Point Of No Return (1993 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": "Find two positive irreducible fractions with denominators not exceeding 100, whose sum is equal to 86/111.", "role": "user" } ]
math
{ "ground_truth": "\\frac{2}{3}+\\frac{4}{37}", "style": "rule" }
{ "index": 1668, "need_tools_kwargs": true, "question": "Find two positive irreducible fractions with denominators not exceeding 100, whose sum is equal to 86/111.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 composer of song Satin Doll is from?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 1669, "need_tools_kwargs": true, "question": "Which country the composer of song Satin Doll 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": "Name the creator of Aftermath! who was inducted in the Origins Hall of Fame in 2003.", "role": "user" } ]
qa
{ "ground_truth": "Robert N. Charrette", "style": "rule" }
{ "index": 1670, "need_tools_kwargs": true, "question": "Name the creator of Aftermath! who was inducted in the Origins Hall of Fame in 2003.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 an arithmetic sequence $\\{a_n\\}$ with a common difference $d \\neq 0$, if $a_1$, $a_3$, and $a_9$ form a geometric sequence, then $\\dfrac{a_1 + a_3 + a_9}{a_2 + a_4 + a_10}=$ ?", "role": "user" } ]
math
{ "ground_truth": "\\dfrac{13}{16}", "style": "rule" }
{ "index": 1671, "need_tools_kwargs": true, "question": "Given an arithmetic sequence $\\{a_n\\}$ with a common difference $d \\neq 0$, if $a_1$, $a_3$, and $a_9$ form a geometric sequence, then $\\dfrac{a_1 + a_3 + a_9}{a_2 + a_4 + a_10}=$ ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 wishes does the djinn give to Nandor in Season 4 of What We Do in the Shadows?", "role": "user" } ]
qa
{ "ground_truth": "52", "style": "rule" }
{ "index": 1672, "need_tools_kwargs": true, "question": "How many wishes does the djinn give to Nandor in Season 4 of What We Do in the Shadows?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of the director of film At A French Fireside?", "role": "user" } ]
qa
{ "ground_truth": "8 August 2012", "style": "rule" }
{ "index": 1673, "need_tools_kwargs": true, "question": "What is the date of death of the director of film At A French Fireside?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Hellcat Spangled Shalalala is a song by the English band formed in what suburb of Sheffield?", "role": "user" } ]
qa
{ "ground_truth": "High Green", "style": "rule" }
{ "index": 1674, "need_tools_kwargs": true, "question": "The Hellcat Spangled Shalalala is a song by the English band formed in what suburb of Sheffield?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American actor who appeared in The Bushido Blade born ", "role": "user" } ]
qa
{ "ground_truth": "January 17, 1931", "style": "rule" }
{ "index": 1675, "need_tools_kwargs": true, "question": "When was the American actor who appeared in The Bushido Blade 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": "At what point does the line containing the points $(1, 7)$ and $(3, 11)$ intersect the $y$-axis? Express your answer as an ordered pair.", "role": "user" } ]
math
{ "ground_truth": "(0,5)", "style": "rule" }
{ "index": 1676, "need_tools_kwargs": true, "question": "At what point does the line containing the points $(1, 7)$ and $(3, 11)$ intersect the $y$-axis? Express your answer as an ordered pair.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Canadian singer was Young Man Running his fourth album ", "role": "user" } ]
qa
{ "ground_truth": "Corey Mitchell Hart", "style": "rule" }
{ "index": 1677, "need_tools_kwargs": true, "question": "Which Canadian singer was Young Man Running his fourth album ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=\\log _{a}(x-a)+1$, where $(a > 0$ and $a\\neq 1)$, it always passes through the fixed point $(3,1)$.\n(I) Find the value of the real number $a$;\n(II) Let the function $h(x)=a^{x}+1$, and the graph of the function $F(x)=[h(x)+2]^{2}$ is always above the graph of the function $G(x)=h(2x)+m+2$, find the range of values of the real number $m$.", "role": "user" } ]
math
{ "ground_truth": "m\\leqslant 6", "style": "rule" }
{ "index": 1678, "need_tools_kwargs": true, "question": "Given the function $f(x)=\\log _{a}(x-a)+1$, where $(a > 0$ and $a\\neq 1)$, it always passes through the fixed point $(3,1)$.\n(I) Find the value of the real number $a$;\n(II) Let the function $h(x)=a^{x}+1$, and the graph of the function $F(x)=[h(x)+2]^{2}$ is always above the graph of the function $G(x)=h(2x)+m+2$, find the range of values of the real number $m$.", "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": "What other game is comparable to Theatrix but uses playing cards as its randomiser?", "role": "user" } ]
qa
{ "ground_truth": "Castle Falkenstein", "style": "rule" }
{ "index": 1679, "need_tools_kwargs": true, "question": "What other game is comparable to Theatrix but uses playing cards as its randomiser?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Joseph Powell William was active in local government in a city From which borough ?", "role": "user" } ]
qa
{ "ground_truth": "West Midlands", "style": "rule" }
{ "index": 1680, "need_tools_kwargs": true, "question": "Joseph Powell William was active in local government in a city From which borough ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 electronic clock shown can display time from 00:00:00 to 23:59:59. How many times in a day (24 hours) does the clock display a time that consists of the digits 1, 2, 3, 4, 5, and 6?", "role": "user" } ]
math
{ "ground_truth": "96", "style": "rule" }
{ "index": 1681, "need_tools_kwargs": true, "question": "The electronic clock shown can display time from 00:00:00 to 23:59:59. How many times in a day (24 hours) does the clock display a time that consists of the digits 1, 2, 3, 4, 5, and 6?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "n recent years Pakistan champions cricket league (PCCL) matches have been telecasted live through a channel that belongs to which corporation ?", "role": "user" } ]
qa
{ "ground_truth": "Independent Media Corporation", "style": "rule" }
{ "index": 1682, "need_tools_kwargs": true, "question": "n recent years Pakistan champions cricket league (PCCL) matches have been telecasted live through a channel that belongs to which corporation ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 hour after yolanda started walking from x to y , a distance of 80 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 8 miles per hour and bob â s was 9 miles per hour , how many miles had bob walked when they met ?", "role": "user" } ]
math
{ "ground_truth": "38.118", "style": "rule" }
{ "index": 1683, "need_tools_kwargs": true, "question": "one hour after yolanda started walking from x to y , a distance of 80 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 8 miles per hour and bob â s was 9 miles per hour , how many miles had bob walked when they met ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Centre for the Study of Existential Risk is the home of which Swedish-American cosmologist?", "role": "user" } ]
qa
{ "ground_truth": "Max Erik Tegmark", "style": "rule" }
{ "index": 1684, "need_tools_kwargs": true, "question": "The Centre for the Study of Existential Risk is the home of which Swedish-American cosmologist?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Famous Food awarded a partnership to which Real Housewives of New Jersey cast member?", "role": "user" } ]
qa
{ "ground_truth": "Danielle Staub", "style": "rule" }
{ "index": 1685, "need_tools_kwargs": true, "question": "Famous Food awarded a partnership to which Real Housewives of New Jersey cast member?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who was the director of the British short film starring the actress who played Patsy Stone in the BBC sitcom \"Absolutely Fabulous\"?", "role": "user" } ]
qa
{ "ground_truth": "Susan Luciani", "style": "rule" }
{ "index": 1686, "need_tools_kwargs": true, "question": "Who was the director of the British short film starring the actress who played Patsy Stone in the BBC sitcom \"Absolutely Fabulous\"?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Ruby was going to order pizza for dinner. Her son would only eat pepperoni pizza. Her daughter would only eat sausage. Ruby and her husband wanted black olive and mushroom pizza. To make life easy, Ruby decided to order an entire pizza for each of her children and she would split one with her husband. The pizza restaurant charged a certain amount per pizza and $1.00 per topping. She also needed to add a $5.00 tip. Including tip, the pizza order cost $39. How much does the pizza restaurant charge per pizza?", "role": "user" } ]
math
{ "ground_truth": "\\$10", "style": "rule" }
{ "index": 1687, "need_tools_kwargs": true, "question": "Ruby was going to order pizza for dinner. Her son would only eat pepperoni pizza. Her daughter would only eat sausage. Ruby and her husband wanted black olive and mushroom pizza. To make life easy, Ruby decided to order an entire pizza for each of her children and she would split one with her husband. The pizza restaurant charged a certain amount per pizza and $1.00 per topping. She also needed to add a $5.00 tip. Including tip, the pizza order cost $39. How much does the pizza restaurant charge per pizza?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A store prices an item using dollars and cents notation. When a 4% sales tax is added, the result is exactly \\( n \\) dollars. Since \\( n \\) is an integer, no rounding is necessary. What is the smallest possible value of \\( n \\)?\n(A) 1 \n(B) 13 \n(C) 25 \n(D) 26 \n(E) 100\n\n(31st Annual American High School Mathematics Examination, 1980)", "role": "user" } ]
math
{ "ground_truth": "13", "style": "rule" }
{ "index": 1688, "need_tools_kwargs": true, "question": "A store prices an item using dollars and cents notation. When a 4% sales tax is added, the result is exactly \\( n \\) dollars. Since \\( n \\) is an integer, no rounding is necessary. What is the smallest possible value of \\( n \\)?\n(A) 1 \n(B) 13 \n(C) 25 \n(D) 26 \n(E) 100\n\n(31st Annual American High School Mathematics Examination, 1980)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Mrs. Lopez and her family are going to the movie theatre. Adult tickets are $11. Children’s tickets (ages 3-12) are $8. Senior citizen’s tickets (ages 60+) are $9. Mrs. Lopez needs to buy movie tickets for her husband, herself, her parents (ages 72 and 75), her three children (ages 3, 10, 14), her two nephews (ages 6 and 17), her aunt (age 65), two friends of the family (ages 56 and 33), and her sister (age 40).\n\nIn addition, her husband has a 25% discount on his ticket, her parents have a combined 15% discount, her nephew who is 17 has a 10% student discount, her sister has a 30% member discount, and her aunt gets a buy-one-get-one-free offer on her ticket. How much money does she need to buy everyone’s tickets?", "role": "user" } ]
math
{ "ground_truth": "\\$115.15", "style": "rule" }
{ "index": 1689, "need_tools_kwargs": true, "question": "Mrs. Lopez and her family are going to the movie theatre. Adult tickets are $11. Children’s tickets (ages 3-12) are $8. Senior citizen’s tickets (ages 60+) are $9. Mrs. Lopez needs to buy movie tickets for her husband, herself, her parents (ages 72 and 75), her three children (ages 3, 10, 14), her two nephews (ages 6 and 17), her aunt (age 65), two friends of the family (ages 56 and 33), and her sister (age 40).\n\nIn addition, her husband has a 25% discount on his ticket, her parents have a combined 15% discount, her nephew who is 17 has a 10% student discount, her sister has a 30% member discount, and her aunt gets a buy-one-get-one-free offer on her ticket. How much money does she need to buy everyone’s tickets?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Best: Make the Music Go Bang! includes liner notes by an American skateboard legend who is one of the original members of the Zephyr Competition Skateboarding Team, which is famously known as what?", "role": "user" } ]
qa
{ "ground_truth": "Z-Boys", "style": "rule" }
{ "index": 1690, "need_tools_kwargs": true, "question": "The Best: Make the Music Go Bang! includes liner notes by an American skateboard legend who is one of the original members of the Zephyr Competition Skateboarding Team, which is famously known as 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": "Find all functions $f$ defined on the non-negative reals and taking non-negative real values such that: $f(2)=0,f(x)\\ne0$ for $0\\le x<2$, and $f(xf(y))f(y)=f(x+y)$ for all $x,y$.", "role": "user" } ]
math
{ "ground_truth": "f(x) = \\begin{cases}\n\\frac{2}{2 - x}, & 0 \\leq x < 2, \\\\\n0, & x \\geq 2.\n\\end{cases}", "style": "rule" }
{ "index": 1691, "need_tools_kwargs": true, "question": "Find all functions $f$ defined on the non-negative reals and taking non-negative real values such that: $f(2)=0,f(x)\\ne0$ for $0\\le x<2$, and $f(xf(y))f(y)=f(x+y)$ for all $x,y$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In the regular quadrangular pyramid \\(P-ABCD\\), \\(M\\) and \\(N\\) are the midpoints of \\(PA\\) and \\(PB\\) respectively. If the tangent of the dihedral angle between a side face and the base is \\(\\sqrt{2}\\), find the cosine of the angle between skew lines \\(DM\\) and \\(AN\\).", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{6}", "style": "rule" }
{ "index": 1692, "need_tools_kwargs": true, "question": "In the regular quadrangular pyramid \\(P-ABCD\\), \\(M\\) and \\(N\\) are the midpoints of \\(PA\\) and \\(PB\\) respectively. If the tangent of the dihedral angle between a side face and the base is \\(\\sqrt{2}\\), find the cosine of the angle between skew lines \\(DM\\) and \\(AN\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Father Steps Out (1941 Film) and Balipeetam from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 1693, "need_tools_kwargs": true, "question": "Are the directors of both films Father Steps Out (1941 Film) and Balipeetam from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A rope with a length of $3$ meters is selected and cut at any position. The probability that both resulting segments are not less than $1$ meter in length is $\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_$.", "role": "user" } ]
math
{ "ground_truth": "\\dfrac{1}{3}", "style": "rule" }
{ "index": 1694, "need_tools_kwargs": true, "question": "A rope with a length of $3$ meters is selected and cut at any position. The probability that both resulting segments are not less than $1$ meter in length is $\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which core member of The Comic Strip was born on 6 July 1958 ?", "role": "user" } ]
qa
{ "ground_truth": "Jennifer Saunders", "style": "rule" }
{ "index": 1695, "need_tools_kwargs": true, "question": "Which core member of The Comic Strip was born on 6 July 1958 ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In what year was the CEO of \"Love Worth Finding\" born?", "role": "user" } ]
qa
{ "ground_truth": "1931", "style": "rule" }
{ "index": 1696, "need_tools_kwargs": true, "question": "In what year was the CEO of \"Love Worth Finding\" born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given a sample data with a volume of 20, the groups have been created with the following class intervals and frequencies: $(10, 20]$, 2; $(20, 30]$, 3; $(30, 40]$, 4; $(40, 50]$, 5; $(50, 60]$, 4; $(60, 70]$, 2. Calculate the frequency of the sample in the interval $(50, 70]$.", "role": "user" } ]
math
{ "ground_truth": "0.3", "style": "rule" }
{ "index": 1697, "need_tools_kwargs": true, "question": "Given a sample data with a volume of 20, the groups have been created with the following class intervals and frequencies: $(10, 20]$, 2; $(20, 30]$, 3; $(30, 40]$, 4; $(40, 50]$, 5; $(50, 60]$, 4; $(60, 70]$, 2. Calculate the frequency of the sample in the interval $(50, 70]$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the director of film Night Raiders born?", "role": "user" } ]
qa
{ "ground_truth": "Tacoma, Washington", "style": "rule" }
{ "index": 1698, "need_tools_kwargs": true, "question": "Where was the director of film Night Raiders 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 triangle $ABC$, altitudes $AD$, $BE$, and $CF$ intersect at the orthocenter $H$. If $\\angle ABC = 49^\\circ$ and $\\angle ACB = 12^\\circ$, then find the measure of $\\angle BHC$, in degrees.", "role": "user" } ]
math
{ "ground_truth": "61^\\circ", "style": "rule" }
{ "index": 1699, "need_tools_kwargs": true, "question": "In triangle $ABC$, altitudes $AD$, $BE$, and $CF$ intersect at the orthocenter $H$. If $\\angle ABC = 49^\\circ$ and $\\angle ACB = 12^\\circ$, then find the measure of $\\angle BHC$, in degrees.", "split": "train" }
null