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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": "What nationality is Thomas Keyes's wife?", "role": "user" } ]
qa
{ "ground_truth": "England", "style": "rule" }
{ "index": 3600, "need_tools_kwargs": true, "question": "What nationality is Thomas Keyes'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": "The average GPA for 6th graders is 93, the 7th graders is 2 more than the 6th graders and the 8th graders average GPA is 91. What is the average GPA for the school?", "role": "user" } ]
math
{ "ground_truth": "93.0", "style": "rule" }
{ "index": 3601, "need_tools_kwargs": true, "question": "The average GPA for 6th graders is 93, the 7th graders is 2 more than the 6th graders and the 8th graders average GPA is 91. What is the average GPA for the school?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "David Bain Oliver was a teacher of flute at a conservatoire formed in what year?", "role": "user" } ]
qa
{ "ground_truth": "2005", "style": "rule" }
{ "index": 3602, "need_tools_kwargs": true, "question": "David Bain Oliver was a teacher of flute at a conservatoire formed in what year?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which film has the director born earlier, Bellissima (Film) or Adiós Pampa Mía?", "role": "user" } ]
qa
{ "ground_truth": "Adiós Pampa Mía", "style": "rule" }
{ "index": 3603, "need_tools_kwargs": true, "question": "Which film has the director born earlier, Bellissima (Film) or Adiós Pampa Mía?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 striker had his best 19 goal season in 2007-8?", "role": "user" } ]
qa
{ "ground_truth": "Roque Santa Cruz", "style": "rule" }
{ "index": 3604, "need_tools_kwargs": true, "question": "What striker had his best 19 goal season in 2007-8?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the parabola $E: y^2 = 2px (p > 0)$ whose directrix intersects the $x$-axis at point $K$, and through point $K$, two tangents are drawn to the circle $C: (x-5)^2 + y^2 = 9$, with the points of tangency being $M$ and $N$, and $|MN| = 3\\sqrt{3}$.\n\n$(1)$ Find the equation of the parabola $E$;\n\n$(2)$ If line $AB$ is a line passing through the fixed point $Q(2,0)$ and intersects the parabola $E$ at points $A$ and $B$, a perpendicular line to $AB$ passing through the fixed point $Q$ intersects the parabola at points $G$ and $D$, find the minimum value of the area of quadrilateral $AGBD$.", "role": "user" } ]
math
{ "ground_truth": "48", "style": "rule" }
{ "index": 3605, "need_tools_kwargs": true, "question": "Given the parabola $E: y^2 = 2px (p > 0)$ whose directrix intersects the $x$-axis at point $K$, and through point $K$, two tangents are drawn to the circle $C: (x-5)^2 + y^2 = 9$, with the points of tangency being $M$ and $N$, and $|MN| = 3\\sqrt{3}$.\n\n$(1)$ Find the equation of the parabola $E$;\n\n$(2)$ If line $AB$ is a line passing through the fixed point $Q(2,0)$ and intersects the parabola $E$ at points $A$ and $B$, a perpendicular line to $AB$ passing through the fixed point $Q$ intersects the parabola at points $G$ and $D$, find the minimum value of the area of quadrilateral $AGBD$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Consider a regular hexagon labeled \\( ABCDEF \\). A frog starts at vertex \\( A \\) and can jump to one of the two adjacent vertices randomly on each jump. The frog will stop jumping if it reaches vertex \\( D \\) within 5 jumps or after completing 5 jumps if it has not reached \\( D \\). Calculate the total number of different jumping sequences possible from the start until the frog stops.", "role": "user" } ]
math
{ "ground_truth": "26", "style": "rule" }
{ "index": 3606, "need_tools_kwargs": true, "question": "Consider a regular hexagon labeled \\( ABCDEF \\). A frog starts at vertex \\( A \\) and can jump to one of the two adjacent vertices randomly on each jump. The frog will stop jumping if it reaches vertex \\( D \\) within 5 jumps or after completing 5 jumps if it has not reached \\( D \\). Calculate the total number of different jumping sequences possible from the start until the frog stops.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let $T$ be the set of all rational numbers $r$, $0<r<1$, that have a repeating decimal expansion in the form $0.efghefgh\\ldots=0.\\overline{efgh}$, where the digits $e$, $f$, $g$, and $h$ are not necessarily distinct. To write the elements of $T$ as fractions in lowest terms, how many different numerators are required?", "role": "user" } ]
math
{ "ground_truth": "6000", "style": "rule" }
{ "index": 3607, "need_tools_kwargs": true, "question": "Let $T$ be the set of all rational numbers $r$, $0<r<1$, that have a repeating decimal expansion in the form $0.efghefgh\\ldots=0.\\overline{efgh}$, where the digits $e$, $f$, $g$, and $h$ are not necessarily distinct. To write the elements of $T$ as fractions in lowest terms, how many different numerators are required?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What pork sausages are flavored with a plant indigenous to the shores of the Mediterranean?", "role": "user" } ]
qa
{ "ground_truth": "Likëngë", "style": "rule" }
{ "index": 3608, "need_tools_kwargs": true, "question": "What pork sausages are flavored with a plant indigenous to the shores of the Mediterranean?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Karl's vegetable garden is circular with a radius of 15 feet, while Makenna's garden is rectangular, measuring 30 feet by 50 feet. Calculate the area of both gardens and determine whose garden is larger. How much larger is the larger garden compared to the smaller one?", "role": "user" } ]
math
{ "ground_truth": "793.5", "style": "rule" }
{ "index": 3609, "need_tools_kwargs": true, "question": "Karl's vegetable garden is circular with a radius of 15 feet, while Makenna's garden is rectangular, measuring 30 feet by 50 feet. Calculate the area of both gardens and determine whose garden is larger. How much larger is the larger garden compared to the smaller one?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 curve that passes through the point \\((2, 3)\\) and has the property that the segment of any of its tangents, intercepted between the coordinate axes, is bisected at the point of tangency.", "role": "user" } ]
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 3610, "need_tools_kwargs": true, "question": "Find the curve that passes through the point \\((2, 3)\\) and has the property that the segment of any of its tangents, intercepted between the coordinate axes, is bisected at the point of tangency.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Three circles of radius 1 are externally tangent to each other and internally tangent to a larger circle. What is the radius of the large circle? Express your answer as a common fraction in simplest radical form.\n\n[asy]\ndraw(Circle((0,-0.58),2.15),linewidth(0.7));\ndraw(Circle((-1,0),1),linewidth(0.7));\ndraw(Circle((1,0),1),linewidth(0.7));\ndraw(Circle((0,-1.73),1),linewidth(0.7));\n[/asy]", "role": "user" } ]
math
{ "ground_truth": "\\frac{3+2\\sqrt{3}}{3}", "style": "rule" }
{ "index": 3611, "need_tools_kwargs": true, "question": "Three circles of radius 1 are externally tangent to each other and internally tangent to a larger circle. What is the radius of the large circle? Express your answer as a common fraction in simplest radical form.\n\n[asy]\ndraw(Circle((0,-0.58),2.15),linewidth(0.7));\ndraw(Circle((-1,0),1),linewidth(0.7));\ndraw(Circle((1,0),1),linewidth(0.7));\ndraw(Circle((0,-1.73),1),linewidth(0.7));\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": "Given the sequence $\\{a_n\\}$ satisfies $a_1=1$, $a_2=2$, $a_{n+2}=(1+\\cos ^{2} \\frac {nπ}{2})a_{n}+\\sin ^{2} \\frac {nπ}{2}$, find the sum of the first 12 terms of the sequence.", "role": "user" } ]
math
{ "ground_truth": "147", "style": "rule" }
{ "index": 3612, "need_tools_kwargs": true, "question": "Given the sequence $\\{a_n\\}$ satisfies $a_1=1$, $a_2=2$, $a_{n+2}=(1+\\cos ^{2} \\frac {nπ}{2})a_{n}+\\sin ^{2} \\frac {nπ}{2}$, find the sum of the first 12 terms of the sequence.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When was the composer of song I See Fire born?", "role": "user" } ]
qa
{ "ground_truth": "17 February 1991", "style": "rule" }
{ "index": 3613, "need_tools_kwargs": true, "question": "When was the composer of song I See Fire 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": "Which film has the director who was born earlier, Always A Bride or 'Night, Mother (Film)?", "role": "user" } ]
qa
{ "ground_truth": "Always A Bride", "style": "rule" }
{ "index": 3614, "need_tools_kwargs": true, "question": "Which film has the director who was born earlier, Always A Bride or 'Night, Mother (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": "Which film has more directors, A Slight Case of Larceny or The Celluloid Closet?", "role": "user" } ]
qa
{ "ground_truth": "The Celluloid Closet", "style": "rule" }
{ "index": 3615, "need_tools_kwargs": true, "question": "Which film has more directors, A Slight Case of Larceny or The Celluloid Closet?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Euxoamorpha eschata is a moth found in a city situated on the southern shores of what?", "role": "user" } ]
qa
{ "ground_truth": "Nahuel Huapi Lake", "style": "rule" }
{ "index": 3616, "need_tools_kwargs": true, "question": "Euxoamorpha eschata is a moth found in a city situated on the southern shores of 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": "On the radius \\( A O \\) of a circle with center \\( O \\), point \\( M \\) is chosen. On the same side of \\( A O \\) on the circumference, points \\( B \\) and \\( C \\) are chosen such that \\( \\angle A M B = \\angle O M C = \\alpha \\). Find the length \\( B C \\), given that the radius of the circle is 15 and \\( \\cos \\alpha = \\frac{3}{5} \\).", "role": "user" } ]
math
{ "ground_truth": "18", "style": "rule" }
{ "index": 3617, "need_tools_kwargs": true, "question": "On the radius \\( A O \\) of a circle with center \\( O \\), point \\( M \\) is chosen. On the same side of \\( A O \\) on the circumference, points \\( B \\) and \\( C \\) are chosen such that \\( \\angle A M B = \\angle O M C = \\alpha \\). Find the length \\( B C \\), given that the radius of the circle is 15 and \\( \\cos \\alpha = \\frac{3}{5} \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Katya is passing time while her parents are at work. On a piece of paper, she absentmindedly drew Cheburashkas in two rows (at least one Cheburashka was drawn in each row).\n\nAfterwards, she drew a Crocodile Gena between every two adjacent Cheburashkas in both rows. Then she drew an Old Lady Shapoklyak to the left of each Cheburashka. Finally, she drew a Krakozyabra between each pair of characters in the rows.\n\nUpon closer inspection of the drawing, she realized that only the Krakozyabras turned out nicely, so she angrily erased all the other characters. In the end, her parents saw two rows of Krakozyabras: a total of 29.\n\nHow many Cheburashkas were erased?", "role": "user" } ]
math
{ "ground_truth": "11", "style": "rule" }
{ "index": 3618, "need_tools_kwargs": true, "question": "Katya is passing time while her parents are at work. On a piece of paper, she absentmindedly drew Cheburashkas in two rows (at least one Cheburashka was drawn in each row).\n\nAfterwards, she drew a Crocodile Gena between every two adjacent Cheburashkas in both rows. Then she drew an Old Lady Shapoklyak to the left of each Cheburashka. Finally, she drew a Krakozyabra between each pair of characters in the rows.\n\nUpon closer inspection of the drawing, she realized that only the Krakozyabras turned out nicely, so she angrily erased all the other characters. In the end, her parents saw two rows of Krakozyabras: a total of 29.\n\nHow many Cheburashkas were erased?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The sum of \\( n \\) terms of an arithmetic progression is \\( 255 \\), and the common difference is \\( 3 \\). Given that the first term is an integer and \\( n > 1 \\), determine how many possible values there are for \\( n \\).", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 3619, "need_tools_kwargs": true, "question": "The sum of \\( n \\) terms of an arithmetic progression is \\( 255 \\), and the common difference is \\( 3 \\). Given that the first term is an integer and \\( n > 1 \\), determine how many possible values there are for \\( n \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the real numbers \\( x \\) and \\( y \\) satisfy the conditions:\n\\[ x > \\max \\{-3, y\\}, \\]\n\\[ (x+3)\\left(x^{2}-y^{2}\\right)=8, \\]\nwhat is the minimum value of \\( 3x + y \\)?", "role": "user" } ]
math
{ "ground_truth": "3.798", "style": "rule" }
{ "index": 3620, "need_tools_kwargs": true, "question": "Given the real numbers \\( x \\) and \\( y \\) satisfy the conditions:\n\\[ x > \\max \\{-3, y\\}, \\]\n\\[ (x+3)\\left(x^{2}-y^{2}\\right)=8, \\]\nwhat is the minimum value of \\( 3x + 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 $f(x)$ be a third-degree polynomial with real coefficients satisfying \n$|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12.$ \nFind $|f(0)|$ .", "role": "user" } ]
math
{ "ground_truth": "72", "style": "rule" }
{ "index": 3621, "need_tools_kwargs": true, "question": "Let $f(x)$ be a third-degree polynomial with real coefficients satisfying \n$|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12.$ \nFind $|f(0)|$ .", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Four princesses thought of two-digit numbers, and Ivan thought of a four-digit number. After they wrote their numbers in a row in some order, the result was 132040530321. Find Ivan's number.", "role": "user" } ]
math
{ "ground_truth": "5303", "style": "rule" }
{ "index": 3622, "need_tools_kwargs": true, "question": "Four princesses thought of two-digit numbers, and Ivan thought of a four-digit number. After they wrote their numbers in a row in some order, the result was 132040530321. Find Ivan's number.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Divide each side of triangle \\( \\triangle ABC \\) into \\( n \\) equal parts. Through each division point, draw lines parallel to the sides of the triangle. How many parallelograms are there in the resulting figure?", "role": "user" } ]
math
{ "ground_truth": "3 \\binom{n+2}{4}", "style": "rule" }
{ "index": 3623, "need_tools_kwargs": true, "question": "Divide each side of triangle \\( \\triangle ABC \\) into \\( n \\) equal parts. Through each division point, draw lines parallel to the sides of the triangle. How many parallelograms are there in the resulting figure?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Garth Fundis produced albums for the country singer who was inducted into the Country Music Hall of Fame in what year?", "role": "user" } ]
qa
{ "ground_truth": "2010", "style": "rule" }
{ "index": 3624, "need_tools_kwargs": true, "question": "Garth Fundis produced albums for the country singer who was inducted into the Country Music Hall of Fame in what year?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "On a sheet of paper, a $5 \\times 7$ rectangle is drawn, and fold lines are drawn with dotted lines. How many cells will be covered exactly twice?", "role": "user" } ]
math
{ "ground_truth": "9", "style": "rule" }
{ "index": 3625, "need_tools_kwargs": true, "question": "On a sheet of paper, a $5 \\times 7$ rectangle is drawn, and fold lines are drawn with dotted lines. How many cells will be covered exactly twice?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Determine the minimum value of the function\n\\[y = \\cos \\left( x + \\frac{\\pi}{3} \\right) - \\cot \\left( x + \\frac{\\pi}{3} \\right) + \\sin \\left( x + \\frac{\\pi}{4} \\right)\\]\nfor \\(-\\frac{\\pi}{12} \\leq x \\leq \\frac{\\pi}{6}\\).", "role": "user" } ]
math
{ "ground_truth": "\\sin \\frac{5\\pi}{12}", "style": "rule" }
{ "index": 3626, "need_tools_kwargs": true, "question": "Determine the minimum value of the function\n\\[y = \\cos \\left( x + \\frac{\\pi}{3} \\right) - \\cot \\left( x + \\frac{\\pi}{3} \\right) + \\sin \\left( x + \\frac{\\pi}{4} \\right)\\]\nfor \\(-\\frac{\\pi}{12} \\leq x \\leq \\frac{\\pi}{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": "A random variable $\\xi$ is distributed according to the exponential law with the probability density function\n\n$$\np(x, \\lambda)=\\lambda e^{-\\lambda x} \\quad \\text{for} \\quad x \\geq 0 \\quad \\text{and} \\quad p(x, \\lambda)=0 \\quad \\text{for} \\quad x < 0,\n$$\n\nwhere $\\lambda$ is an unknown parameter. Given the sample\n\n$$\n0.61, 0.71, 1.27, 0.10, 1.49, 1.14, 2.15, 0.06, 0.74, 0.28,\n$$\n\nfind the confidence interval for $\\lambda$ at a confidence level of $p = 0.8$.", "role": "user" } ]
math
{ "ground_truth": "(0.73, 1.66)", "style": "rule" }
{ "index": 3627, "need_tools_kwargs": true, "question": "A random variable $\\xi$ is distributed according to the exponential law with the probability density function\n\n$$\np(x, \\lambda)=\\lambda e^{-\\lambda x} \\quad \\text{for} \\quad x \\geq 0 \\quad \\text{and} \\quad p(x, \\lambda)=0 \\quad \\text{for} \\quad x < 0,\n$$\n\nwhere $\\lambda$ is an unknown parameter. Given the sample\n\n$$\n0.61, 0.71, 1.27, 0.10, 1.49, 1.14, 2.15, 0.06, 0.74, 0.28,\n$$\n\nfind the confidence interval for $\\lambda$ at a confidence level of $p = 0.8$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "If \\(\\frac{x}{x-1} = \\frac{y^2+2y-1}{y^2-2y-2}\\), find the value of \\(x\\). The original answer can be expressed in the form \\(ay^2 + by + c\\). Please find the value of \\(a + b + c\\).", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 3628, "need_tools_kwargs": true, "question": "If \\(\\frac{x}{x-1} = \\frac{y^2+2y-1}{y^2-2y-2}\\), find the value of \\(x\\). The original answer can be expressed in the form \\(ay^2 + by + c\\). Please find the value of \\(a + b + c\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who was born in 1976 and had a song on Hits 57?", "role": "user" } ]
qa
{ "ground_truth": "Blu Cantrell", "style": "rule" }
{ "index": 3629, "need_tools_kwargs": true, "question": "Who was born in 1976 and had a song on Hits 57?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Let There Be Light (1998 Film)?", "role": "user" } ]
qa
{ "ground_truth": "French", "style": "rule" }
{ "index": 3630, "need_tools_kwargs": true, "question": "What nationality is the director of film Let There Be Light (1998 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": "A sum was put at simple interest at a certain rate for 9 years. Had it been put at a higher rate, it would have fetched $1,350 more. The sum is $3,000. What is the difference in percentage between the original rate and the higher rate?", "role": "user" } ]
math
{ "ground_truth": "5\\%", "style": "rule" }
{ "index": 3631, "need_tools_kwargs": true, "question": "A sum was put at simple interest at a certain rate for 9 years. Had it been put at a higher rate, it would have fetched $1,350 more. The sum is $3,000. What is the difference in percentage between the original rate and the higher rate?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 kilometers did Sabrina Mockenhaupt run when she set her best record?", "role": "user" } ]
qa
{ "ground_truth": "42.195", "style": "rule" }
{ "index": 3632, "need_tools_kwargs": true, "question": "How many kilometers did Sabrina Mockenhaupt run when she set her best record?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Tahuneh-Ye Qazi and Battle Harbour located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3633, "need_tools_kwargs": true, "question": "Are Tahuneh-Ye Qazi and Battle Harbour 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": "Are director of film Ali Baba (1940 Film) and director of film The Strangers In The House (Film) both from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3634, "need_tools_kwargs": true, "question": "Are director of film Ali Baba (1940 Film) and director of film The Strangers In The House (Film) both from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which of the following calculations are correct?\n\nA: $(x^{2})'=2x$\n\nB: $(\\sin x)'=\\cos x$\n\nC: $(e^{-x})'=e^{-x}$\n\nD: ${[{ln({x+1})}]′}=\\frac{1}{{x+1}}$", "role": "user" } ]
math
{ "ground_truth": "ABD", "style": "rule" }
{ "index": 3635, "need_tools_kwargs": true, "question": "Which of the following calculations are correct?\n\nA: $(x^{2})'=2x$\n\nB: $(\\sin x)'=\\cos x$\n\nC: $(e^{-x})'=e^{-x}$\n\nD: ${[{ln({x+1})}]′}=\\frac{1}{{x+1}}$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "James Mulgrew is the star of which comedy sketch show?", "role": "user" } ]
qa
{ "ground_truth": "And There's More", "style": "rule" }
{ "index": 3636, "need_tools_kwargs": true, "question": "James Mulgrew is the star of which comedy sketch show?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In Pierce v. District of Columbia (2015), which judge ruled that the D.C. Department of Corrections violated the rights of a deaf inmate under the Americans with Disabilities Act?", "role": "user" } ]
qa
{ "ground_truth": "Ketanji Brown Jackson", "style": "rule" }
{ "index": 3637, "need_tools_kwargs": true, "question": "In Pierce v. District of Columbia (2015), which judge ruled that the D.C. Department of Corrections violated the rights of a deaf inmate under the Americans with Disabilities Act?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\triangle ABC$, with angles A, B, and C, the sides opposite these angles are labeled as $a, b,$ and $c$ respectively. Given the vectors $\\overrightarrow{m}=\\left( \\frac{a}{2}, \\frac{c}{2} \\right)$ and $\\overrightarrow{n}=(\\cos C, \\cos A)$, it is also known that $\\overrightarrow{n} \\cdot \\overrightarrow{m} = b\\cos B$.\n1. Determine the value of angle B;\n2. If $\\cos \\left( \\frac{A-C}{2} \\right) = \\sqrt{3}\\sin A$ and $|\\overrightarrow{m}|=\\sqrt{5}$, find the area of $\\triangle ABC$.", "role": "user" } ]
math
{ "ground_truth": "2\\sqrt{3}", "style": "rule" }
{ "index": 3638, "need_tools_kwargs": true, "question": "In triangle $\\triangle ABC$, with angles A, B, and C, the sides opposite these angles are labeled as $a, b,$ and $c$ respectively. Given the vectors $\\overrightarrow{m}=\\left( \\frac{a}{2}, \\frac{c}{2} \\right)$ and $\\overrightarrow{n}=(\\cos C, \\cos A)$, it is also known that $\\overrightarrow{n} \\cdot \\overrightarrow{m} = b\\cos B$.\n1. Determine the value of angle B;\n2. If $\\cos \\left( \\frac{A-C}{2} \\right) = \\sqrt{3}\\sin A$ and $|\\overrightarrow{m}|=\\sqrt{5}$, find the area of $\\triangle ABC$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What type of car is Sir Tow Mater's best friend in the movie \"Cars\"?", "role": "user" } ]
qa
{ "ground_truth": "an anthropomorphic stock car", "style": "rule" }
{ "index": 3639, "need_tools_kwargs": true, "question": "What type of car is Sir Tow Mater's best friend in the movie \"Cars\"?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actress that plays Amber in the sitcom \"The Old Guys\" received a BAFTA TV Award in 2014 for her role in what tv show?", "role": "user" } ]
qa
{ "ground_truth": "\"The IT Crowd\"", "style": "rule" }
{ "index": 3640, "need_tools_kwargs": true, "question": "The actress that plays Amber in the sitcom \"The Old Guys\" received a BAFTA TV Award in 2014 for her role in what tv show?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The Shanghai Cooperation Organization summit will be held in Qingdao in June 2018. The organizing committee plans to allocate five staff members, A, B, C, D, and E, to two different locations to participate in reception work during the conference. If A and B must be in the same group, and each group must have at least 2 people, then the number of different allocation methods is ______.", "role": "user" } ]
math
{ "ground_truth": "8", "style": "rule" }
{ "index": 3641, "need_tools_kwargs": true, "question": "The Shanghai Cooperation Organization summit will be held in Qingdao in June 2018. The organizing committee plans to allocate five staff members, A, B, C, D, and E, to two different locations to participate in reception work during the conference. If A and B must be in the same group, and each group must have at least 2 people, then the number of different allocation methods is ______.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given vectors $\\overrightarrow{a} = (3, 4)$, $\\overrightarrow{b} = (9, x)$, $\\overrightarrow{c} = (4, y)$, and $\\overrightarrow{a} \\parallel \\overrightarrow{b}$, $\\overrightarrow{a} \\perp \\overrightarrow{c}$. \n(1) Find $\\overrightarrow{b}$ and $\\overrightarrow{c}$. \n(2) Find the cosine of the angle $\\theta$ between $2\\overrightarrow{a} - \\overrightarrow{b}$ and $\\overrightarrow{a} + \\overrightarrow{c}$.", "role": "user" } ]
math
{ "ground_truth": "\\cos\\theta = -\\frac{\\sqrt{2}}{2}", "style": "rule" }
{ "index": 3642, "need_tools_kwargs": true, "question": "Given vectors $\\overrightarrow{a} = (3, 4)$, $\\overrightarrow{b} = (9, x)$, $\\overrightarrow{c} = (4, y)$, and $\\overrightarrow{a} \\parallel \\overrightarrow{b}$, $\\overrightarrow{a} \\perp \\overrightarrow{c}$. \n(1) Find $\\overrightarrow{b}$ and $\\overrightarrow{c}$. \n(2) Find the cosine of the angle $\\theta$ between $2\\overrightarrow{a} - \\overrightarrow{b}$ and $\\overrightarrow{a} + \\overrightarrow{c}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A batsman scored 190 runs in his innings, which included 7 boundaries, 6 sixes, 3 threes, and 11 twos. Calculate the percentage of his total score made by running between the wickets, including singles, twos, and threes.", "role": "user" } ]
math
{ "ground_truth": "66.32\\%", "style": "rule" }
{ "index": 3643, "need_tools_kwargs": true, "question": "A batsman scored 190 runs in his innings, which included 7 boundaries, 6 sixes, 3 threes, and 11 twos. Calculate the percentage of his total score made by running between the wickets, including singles, twos, and threes.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "对正整数 n, 考虑含有 n 阶元的有限非交换群, 记 $a_{n}$ 为这些群的阶的最小可能值.则 $a_{1}+a_{2}+a_{3}+a_{4}=\\qquad.$", "role": "user" } ]
math
{ "ground_truth": "26", "style": "rule" }
{ "index": 3644, "need_tools_kwargs": true, "question": "对正整数 n, 考虑含有 n 阶元的有限非交换群, 记 $a_{n}$ 为这些群的阶的最小可能值.则 $a_{1}+a_{2}+a_{3}+a_{4}=\\qquad.$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 El Capitán Pérez and director of film Speedway Junky share the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3645, "need_tools_kwargs": true, "question": "Do director of film El Capitán Pérez and director of film Speedway Junky 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": "George Wylie Hutchinson illustrated the works of which English journalist and short-story writer?", "role": "user" } ]
qa
{ "ground_truth": "Joseph Rudyard Kipling", "style": "rule" }
{ "index": 3646, "need_tools_kwargs": true, "question": "George Wylie Hutchinson illustrated the works of which English journalist and short-story writer?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Arun's opinion, his weight is greater than 66 kg but less than 72 kg. His brother thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 69 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?", "role": "user" } ]
math
{ "ground_truth": "67.5", "style": "rule" }
{ "index": 3647, "need_tools_kwargs": true, "question": "In Arun's opinion, his weight is greater than 66 kg but less than 72 kg. His brother thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 69 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 team did Mark Wahlberg play for in a film where he acted with Dov Davidoff?", "role": "user" } ]
qa
{ "ground_truth": "Philadelphia Eagles", "style": "rule" }
{ "index": 3648, "need_tools_kwargs": true, "question": "What team did Mark Wahlberg play for in a film where he acted with Dov Davidoff?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 name of the widow of Lee Harvey Oswald who used to live with Ruth Paine at the time of the JFK assassination? ", "role": "user" } ]
qa
{ "ground_truth": "Marina Nikolayevna Oswald Porter", "style": "rule" }
{ "index": 3649, "need_tools_kwargs": true, "question": "What is the name of the widow of Lee Harvey Oswald who used to live with Ruth Paine at the time of the JFK assassination? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Determine the number of integer solutions \\((x, y)\\) for the equation \\( x^{2} - y^{2} = 1988 \\).", "role": "user" } ]
math
{ "ground_truth": "8", "style": "rule" }
{ "index": 3650, "need_tools_kwargs": true, "question": "Determine the number of integer solutions \\((x, y)\\) for the equation \\( x^{2} - y^{2} = 1988 \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 country of origin does The Calling and Troy Baker have in common?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 3651, "need_tools_kwargs": true, "question": "What country of origin does The Calling and Troy Baker 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": "Which film has the director born earlier, Viennese Nights or The Postman Didn'T Ring?", "role": "user" } ]
qa
{ "ground_truth": "Viennese Nights", "style": "rule" }
{ "index": 3652, "need_tools_kwargs": true, "question": "Which film has the director born earlier, Viennese Nights or The Postman Didn'T 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": "Kim Yeong-cheol had a role as a gngster boss in a 2005 South Korean gangster action drama film that was written by Kim Jee-woon, and starred who?", "role": "user" } ]
qa
{ "ground_truth": "Lee Byung-hun", "style": "rule" }
{ "index": 3653, "need_tools_kwargs": true, "question": "Kim Yeong-cheol had a role as a gngster boss in a 2005 South Korean gangster action drama film that was written by Kim Jee-woon, and starred who?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "The 1974–75 Seattle SuperSonics season included which former Boston Celtics center as head coach?", "role": "user" } ]
qa
{ "ground_truth": "William Felton Russell", "style": "rule" }
{ "index": 3654, "need_tools_kwargs": true, "question": "The 1974–75 Seattle SuperSonics season included which former Boston Celtics center as head coach?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 January 2016 Precision Castparts Corp. became a sibsidiary of a multinational conglomerate holding company headquartered where?", "role": "user" } ]
qa
{ "ground_truth": "Omaha, Nebraska, United States", "style": "rule" }
{ "index": 3655, "need_tools_kwargs": true, "question": "In January 2016 Precision Castparts Corp. became a sibsidiary of a multinational conglomerate holding company headquartered where?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "设 \\(x \\geqslant y > 0\\),若存在实数 \\(a, b\\) 满足 \\(0 \\leqslant a \\leqslant x, 0 \\leqslant b \\leqslant y\\),且 \\((x-a)^{2}+(y-b)^{2}=x^{2}+b^{2}=y^{2}+a^{2}\\),则 \\(\\frac{x}{y}\\) 的最大值为多少?答案的形式为\\(\\frac{k \\sqrt{n}}{m}\\),请给出k+m+n的值。", "role": "user" } ]
math
{ "ground_truth": "8", "style": "rule" }
{ "index": 3656, "need_tools_kwargs": true, "question": "设 \\(x \\geqslant y > 0\\),若存在实数 \\(a, b\\) 满足 \\(0 \\leqslant a \\leqslant x, 0 \\leqslant b \\leqslant y\\),且 \\((x-a)^{2}+(y-b)^{2}=x^{2}+b^{2}=y^{2}+a^{2}\\),则 \\(\\frac{x}{y}\\) 的最大值为多少?答案的形式为\\(\\frac{k \\sqrt{n}}{m}\\),请给出k+m+n的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which film has the director born earlier, The Mistress Of The King or Jungle Patrol (1948 Film)?", "role": "user" } ]
qa
{ "ground_truth": "The Mistress Of The King", "style": "rule" }
{ "index": 3657, "need_tools_kwargs": true, "question": "Which film has the director born earlier, The Mistress Of The King or Jungle Patrol (1948 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": "Evaluate the infinite geometric series: $$\\frac{1}{3}+\\frac{1}{6}+\\frac{1}{12}+\\frac{1}{24}+\\dots$$", "role": "user" } ]
math
{ "ground_truth": "0.6666666666666666", "style": "rule" }
{ "index": 3658, "need_tools_kwargs": true, "question": "Evaluate the infinite geometric series: $$\\frac{1}{3}+\\frac{1}{6}+\\frac{1}{12}+\\frac{1}{24}+\\dots$$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 addition to having research and development facilities for Fila, Montebelluna also is the place where Geox is based, what is Geox?", "role": "user" } ]
qa
{ "ground_truth": "an Italian brand of shoe and clothing", "style": "rule" }
{ "index": 3659, "need_tools_kwargs": true, "question": "In addition to having research and development facilities for Fila, Montebelluna also is the place where Geox is based, what is Geox?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Book Club is an upcoming American comedy film, it stars which American actress, writer, political activist, former fashion model and fitness guru?", "role": "user" } ]
qa
{ "ground_truth": "Jayne Seymour Fonda", "style": "rule" }
{ "index": 3660, "need_tools_kwargs": true, "question": "Book Club is an upcoming American comedy film, it stars which American actress, writer, political activist, former fashion model and fitness guru?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Find $\\frac{a^{8}-256}{16 a^{4}} \\cdot \\frac{2 a}{a^{2}+4}$, if $\\frac{a}{2}-\\frac{2}{a}=3$.", "role": "user" } ]
math
{ "ground_truth": "33", "style": "rule" }
{ "index": 3661, "need_tools_kwargs": true, "question": "Find $\\frac{a^{8}-256}{16 a^{4}} \\cdot \\frac{2 a}{a^{2}+4}$, if $\\frac{a}{2}-\\frac{2}{a}=3$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When did Amalie Raiffeisen's father die?", "role": "user" } ]
qa
{ "ground_truth": "11 March 1888", "style": "rule" }
{ "index": 3662, "need_tools_kwargs": true, "question": "When did Amalie Raiffeisen'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": "求最小的正实数 a,使得存在无穷正实数列 \\{x_n\\}_{n\\geq0},满足 x_0=a,且对任意正整数 n,x_n^2=x_{n-1}^2+2x_{n-1}-\\frac{n}{2}。答案的形式为\\frac{k}{m},请给出k+m的值。", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 3663, "need_tools_kwargs": true, "question": "求最小的正实数 a,使得存在无穷正实数列 \\{x_n\\}_{n\\geq0},满足 x_0=a,且对任意正整数 n,x_n^2=x_{n-1}^2+2x_{n-1}-\\frac{n}{2}。答案的形式为\\frac{k}{m},请给出k+m的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Robert has 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has an engraving of one face on one side, but not on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable arrangements of the 8 coins.", "role": "user" } ]
math
{ "ground_truth": "630", "style": "rule" }
{ "index": 3664, "need_tools_kwargs": true, "question": "Robert has 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has an engraving of one face on one side, but not on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable arrangements of the 8 coins.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rectangular prism $A B C D-A_{1} B_{1} C_{1} D_{1}$ with $A A_{1}=2$, $A D=3$, and $A B= 251$, the plane $A_{1} B D$ intersects $C C_{1}$, $C_{1} B_{1}$, and $C_{1} D_{1}$ at points $L$, $M$, and $N$ respectively. Find the volume of the tetrahedron $C_{1} L M N$.", "role": "user" } ]
math
{ "ground_truth": "2008", "style": "rule" }
{ "index": 3665, "need_tools_kwargs": true, "question": "Given a rectangular prism $A B C D-A_{1} B_{1} C_{1} D_{1}$ with $A A_{1}=2$, $A D=3$, and $A B= 251$, the plane $A_{1} B D$ intersects $C C_{1}$, $C_{1} B_{1}$, and $C_{1} D_{1}$ at points $L$, $M$, and $N$ respectively. Find the volume of the tetrahedron $C_{1} L M N$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where was the place of death of the director of film Shadows Of Sing Sing?", "role": "user" } ]
qa
{ "ground_truth": "Hollywood", "style": "rule" }
{ "index": 3666, "need_tools_kwargs": true, "question": "Where was the place of death of the director of film Shadows Of Sing Sing?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\triangle{ADE}$, points $B$ and $C$ are on side $AD$, and points $F$ and $G$ are on side $AE$ such that $BG \\parallel CF \\parallel DE$. The area of $\\triangle{ABG}$ is $36$, the area of trapezoid $CFED$ is $144$, and $AB = CD$. Find the area of trapezoid $BGFC$.", "role": "user" } ]
math
{ "ground_truth": "45", "style": "rule" }
{ "index": 3667, "need_tools_kwargs": true, "question": "In $\\triangle{ADE}$, points $B$ and $C$ are on side $AD$, and points $F$ and $G$ are on side $AE$ such that $BG \\parallel CF \\parallel DE$. The area of $\\triangle{ABG}$ is $36$, the area of trapezoid $CFED$ is $144$, and $AB = CD$. Find the area of trapezoid $BGFC$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Kate wants to buy a special pen as a gift for her friend. The pen costs $30, and Kate has some money saved. She needs $20 more to buy the pen. What is the ratio of the money Kate has to the cost of the pen?", "role": "user" } ]
math
{ "ground_truth": "1:3", "style": "rule" }
{ "index": 3668, "need_tools_kwargs": true, "question": "Kate wants to buy a special pen as a gift for her friend. The pen costs $30, and Kate has some money saved. She needs $20 more to buy the pen. What is the ratio of the money Kate has to the cost of the pen?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 1000 liter tank, half-full of water, is being filled from a pipe with a certain flow rate. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. It takes 6 minutes to fill the tank completely. What is the flow rate of the pipe filling the tank?", "role": "user" } ]
math
{ "ground_truth": "500", "style": "rule" }
{ "index": 3669, "need_tools_kwargs": true, "question": "A 1000 liter tank, half-full of water, is being filled from a pipe with a certain flow rate. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. It takes 6 minutes to fill the tank completely. What is the flow rate of the pipe filling the tank?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2003 SEC Championship Game was played at a stadium owned and operated by who?", "role": "user" } ]
qa
{ "ground_truth": "the State of Georgia as part of the Georgia World Congress Center Authority", "style": "rule" }
{ "index": 3670, "need_tools_kwargs": true, "question": "The 2003 SEC Championship Game was played at a stadium owned and operated by who?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the function $f(x)=(x-2)e^{x}-ax^{2}+2ax-2a$, if $f(x)$ has two distinct critical points $x_{1}$ and $x_{2}(x_{1} \\lt x_{2})$, and when $0 \\lt x \\lt x_{2}$, $f(x) \\lt -2a$ always holds, then the possible values of $a$ are:\n\nA: $a=e^{2}$\n\nB: $a=\\frac{e}{4}$\n\nC: $a=\\frac{e}{2}$\n\nD: $a=\\frac{{2e}}{3}$", "role": "user" } ]
math
{ "ground_truth": "BD", "style": "rule" }
{ "index": 3671, "need_tools_kwargs": true, "question": "Given the function $f(x)=(x-2)e^{x}-ax^{2}+2ax-2a$, if $f(x)$ has two distinct critical points $x_{1}$ and $x_{2}(x_{1} \\lt x_{2})$, and when $0 \\lt x \\lt x_{2}$, $f(x) \\lt -2a$ always holds, then the possible values of $a$ are:\n\nA: $a=e^{2}$\n\nB: $a=\\frac{e}{4}$\n\nC: $a=\\frac{e}{2}$\n\nD: $a=\\frac{{2e}}{3}$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Newhall is a rail station in the city of Santa Clarita, California, the station is served by Metrolink's Antelope Valley Line operating between Los Angeles Union Station, the main railway station in Los Angeles, California, and the largest railroad passenger terminal in the Western US, and Lancaster and Amtrak Thruway Motorcoach buses to Bakersfield, opened when?", "role": "user" } ]
qa
{ "ground_truth": "May 1939", "style": "rule" }
{ "index": 3672, "need_tools_kwargs": true, "question": "Newhall is a rail station in the city of Santa Clarita, California, the station is served by Metrolink's Antelope Valley Line operating between Los Angeles Union Station, the main railway station in Los Angeles, California, and the largest railroad passenger terminal in the Western US, and Lancaster and Amtrak Thruway Motorcoach buses to Bakersfield, opened when?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Trevor Wittman and Dorota Borowska have the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3673, "need_tools_kwargs": true, "question": "Do Trevor Wittman and Dorota Borowska have the same nationality?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Find all functions \\( f(x, y, z) \\) such that for all real numbers \\( x, y, z \\), the following equation holds:\n\n\\[ \nf(x, y, z) = 2 f(z, x, y) \n\\]", "role": "user" } ]
math
{ "ground_truth": "f(x, y, z) = 0", "style": "rule" }
{ "index": 3674, "need_tools_kwargs": true, "question": "Find all functions \\( f(x, y, z) \\) such that for all real numbers \\( x, y, z \\), the following equation holds:\n\n\\[ \nf(x, y, z) = 2 f(z, x, y) \n\\]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given a triangle \\( \\triangle ABC \\) with a circumradius \\( R \\), it is known that:\n\n\\[ \\frac{a \\cos \\alpha + b \\cos \\beta + c \\cos \\gamma}{a \\sin \\beta + b \\sin \\gamma + c \\sin \\alpha} = \\frac{a + b + c}{9R} \\]\n\nwhere \\( a, b, c \\) are the side lengths of \\( \\triangle ABC \\), and \\( \\alpha, \\beta, \\gamma \\) are the angles opposite these sides respectively. Find the angles \\( \\alpha, \\beta, \\gamma \\).", "role": "user" } ]
math
{ "ground_truth": "60", "style": "rule" }
{ "index": 3675, "need_tools_kwargs": true, "question": "Given a triangle \\( \\triangle ABC \\) with a circumradius \\( R \\), it is known that:\n\n\\[ \\frac{a \\cos \\alpha + b \\cos \\beta + c \\cos \\gamma}{a \\sin \\beta + b \\sin \\gamma + c \\sin \\alpha} = \\frac{a + b + c}{9R} \\]\n\nwhere \\( a, b, c \\) are the side lengths of \\( \\triangle ABC \\), and \\( \\alpha, \\beta, \\gamma \\) are the angles opposite these sides respectively. Find the angles \\( \\alpha, \\beta, \\gamma \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 perfect square game is played as follows: player 1 says a positive integer, then player 2 says a strictly smaller positive integer, and so on. The game ends when someone says 1; that player wins if and only if the sum of all numbers said is a perfect square. What is the sum of all $n$ such that, if player 1 starts by saying $n$, player 1 has a winning strategy? A winning strategy for player 1 is a rule player 1 can follow to win, regardless of what player 2 does. If player 1 wins, player 2 must lose, and vice versa. Both players play optimally.", "role": "user" } ]
math
{ "ground_truth": "9", "style": "rule" }
{ "index": 3676, "need_tools_kwargs": true, "question": "The perfect square game is played as follows: player 1 says a positive integer, then player 2 says a strictly smaller positive integer, and so on. The game ends when someone says 1; that player wins if and only if the sum of all numbers said is a perfect square. What is the sum of all $n$ such that, if player 1 starts by saying $n$, player 1 has a winning strategy? A winning strategy for player 1 is a rule player 1 can follow to win, regardless of what player 2 does. If player 1 wins, player 2 must lose, and vice versa. Both players play optimally.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 expression \\( a + 1 + a - 2 + a + 3 + a - 4 \\) is equal to:\n(A) \\( 10a \\)\n(B) 0\n(C) \\( 4a - 2 \\)\n(D) \\( 4a + 2 \\)\n(E) \\( -2a \\)", "role": "user" } ]
math
{ "ground_truth": "4a - 2", "style": "rule" }
{ "index": 3677, "need_tools_kwargs": true, "question": "The expression \\( a + 1 + a - 2 + a + 3 + a - 4 \\) is equal to:\n(A) \\( 10a \\)\n(B) 0\n(C) \\( 4a - 2 \\)\n(D) \\( 4a + 2 \\)\n(E) \\( -2a \\)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Jamalabad-E Hallaj and Berkeh-Ye Mah Banu located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 3678, "need_tools_kwargs": true, "question": "Are Jamalabad-E Hallaj and Berkeh-Ye Mah Banu 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": "Who was a member of the IO theater and the host of a CBS talk program? ", "role": "user" } ]
qa
{ "ground_truth": "Stephen Colbert", "style": "rule" }
{ "index": 3679, "need_tools_kwargs": true, "question": "Who was a member of the IO theater and the host of a CBS talk program? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $y=\\sin x$ is given. After translating all points on its graph $\\frac{\\pi }{3}$ units to the left and then stretching the horizontal coordinates to twice their original length (while keeping vertical coordinates unchanged), find the analytical expression of the resulting graph.\n\nA: $y=\\sin ( \\frac{x}{2}+ \\frac{\\pi}{3})$\nB: $y=\\sin ( \\frac{x}{2}+ \\frac{\\pi}{6})$\nC: $y=\\sin (2x+ \\frac{\\pi}{3})$\nD: $y=\\sin (2x- \\frac{\\pi}{3})$", "role": "user" } ]
math
{ "ground_truth": "A: y=\\sin \\left( \\frac{x}{2}+ \\frac{\\pi}{3}\\right)", "style": "rule" }
{ "index": 3680, "need_tools_kwargs": true, "question": "The function $y=\\sin x$ is given. After translating all points on its graph $\\frac{\\pi }{3}$ units to the left and then stretching the horizontal coordinates to twice their original length (while keeping vertical coordinates unchanged), find the analytical expression of the resulting graph.\n\nA: $y=\\sin ( \\frac{x}{2}+ \\frac{\\pi}{3})$\nB: $y=\\sin ( \\frac{x}{2}+ \\frac{\\pi}{6})$\nC: $y=\\sin (2x+ \\frac{\\pi}{3})$\nD: $y=\\sin (2x- \\frac{\\pi}{3})$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When did the composer of film The Secret Of Convict Lake die?", "role": "user" } ]
qa
{ "ground_truth": "November 14, 1990", "style": "rule" }
{ "index": 3681, "need_tools_kwargs": true, "question": "When did the composer of film The Secret Of Convict Lake 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": "A function $f$ has its domain equal to the set of integers $0, 1, \\ldots, 11$, and $f(n) \\geq 0$ for all such $n$. The function $f$ satisfies the following conditions:\n- $f(0) = 0$\n- $f(6) = 1$\n- If $x \\geq 0$, $y \\geq 0$, and $x + y \\leq 11$, then $f(x + y) = \\frac{f(x) + f(y)}{1 - f(x)f(y)}$\n\nFind $f(2)^2 + f(10)^2$.", "role": "user" } ]
math
{ "ground_truth": "14", "style": "rule" }
{ "index": 3682, "need_tools_kwargs": true, "question": "A function $f$ has its domain equal to the set of integers $0, 1, \\ldots, 11$, and $f(n) \\geq 0$ for all such $n$. The function $f$ satisfies the following conditions:\n- $f(0) = 0$\n- $f(6) = 1$\n- If $x \\geq 0$, $y \\geq 0$, and $x + y \\leq 11$, then $f(x + y) = \\frac{f(x) + f(y)}{1 - f(x)f(y)}$\n\nFind $f(2)^2 + f(10)^2$.", "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": "Let $F_0 = 0, F_{1} = 1$, and for $n \\ge 1, F_{n+1} = F_n + F_{n-1}$. Define $a_n = \\left(\\frac{1 + \\sqrt{5}}{2}\\right)^n \\cdot F_n$ . Then there are rational numbers $A$ and $B$ such that $\\frac{a_{30} + a_{29}}{a_{26} + a_{25}} = A + B \\sqrt{5}$. Find $A + B$.", "role": "user" } ]
math
{ "ground_truth": "34", "style": "rule" }
{ "index": 3683, "need_tools_kwargs": true, "question": "Let $F_0 = 0, F_{1} = 1$, and for $n \\ge 1, F_{n+1} = F_n + F_{n-1}$. Define $a_n = \\left(\\frac{1 + \\sqrt{5}}{2}\\right)^n \\cdot F_n$ . Then there are rational numbers $A$ and $B$ such that $\\frac{a_{30} + a_{29}}{a_{26} + a_{25}} = A + B \\sqrt{5}$. Find $A + B$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "给定整数 n\\geq2。对于一个 2n 元有序数组T=(a_1,b_1,a_2,b_2,\\cdots,a_n,b_n),若 T 的每个分量均为 0 或 1,且对任意 1\\leq p<q\\leq n,均有 (a_p,b_p,b_q)\\neq(1,0,1) 且 (a_q,b_q,a_p)\\neq(1,0,0),则称 T 为\"有趣数组\"。求有趣数组的个数。答案的形式为 a^n + \\frac{b}{c}n(n+d),请给出 a+b+c+d 的值。", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 3684, "need_tools_kwargs": true, "question": "给定整数 n\\geq2。对于一个 2n 元有序数组T=(a_1,b_1,a_2,b_2,\\cdots,a_n,b_n),若 T 的每个分量均为 0 或 1,且对任意 1\\leq p<q\\leq n,均有 (a_p,b_p,b_q)\\neq(1,0,1) 且 (a_q,b_q,a_p)\\neq(1,0,0),则称 T 为\"有趣数组\"。求有趣数组的个数。答案的形式为 a^n + \\frac{b}{c}n(n+d),请给出 a+b+c+d 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": "Find the range of the function \\( g(x) = \\sin^6 x - 3\\sin x \\cos x + \\cos^6 x \\).", "role": "user" } ]
math
{ "ground_truth": "\\left[0, \\frac{7}{4}\\right]", "style": "rule" }
{ "index": 3685, "need_tools_kwargs": true, "question": "Find the range of the function \\( g(x) = \\sin^6 x - 3\\sin x \\cos x + \\cos^6 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": "A regular triangular prism \\( ABC A_1B_1C_1 \\) with base \\( ABC \\) and lateral edges \\( AA_1, BB_1, CC_1 \\) is inscribed in a sphere of radius 6. The segment \\( CD \\) is the diameter of this sphere, and it is given that \\( AD = 4 \\sqrt{6} \\). Calculate the volume of the prism.", "role": "user" } ]
math
{ "ground_truth": "48\\sqrt{15}", "style": "rule" }
{ "index": 3686, "need_tools_kwargs": true, "question": "A regular triangular prism \\( ABC A_1B_1C_1 \\) with base \\( ABC \\) and lateral edges \\( AA_1, BB_1, CC_1 \\) is inscribed in a sphere of radius 6. The segment \\( CD \\) is the diameter of this sphere, and it is given that \\( AD = 4 \\sqrt{6} \\). Calculate the volume of the prism.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "For $1 \\le n \\le 200$, how many integers are there such that $\\frac{n}{n+1}$ is a repeating decimal?", "role": "user" } ]
math
{ "ground_truth": "182", "style": "rule" }
{ "index": 3687, "need_tools_kwargs": true, "question": "For $1 \\le n \\le 200$, how many integers are there such that $\\frac{n}{n+1}$ is a repeating decimal?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Philip Richard Fendall Ii and Esmaeil Elmkhah of the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 3688, "need_tools_kwargs": true, "question": "Are Philip Richard Fendall Ii and Esmaeil Elmkhah of the same nationality?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Initially, the men and women in a room were in the ratio of 7 : 8. Then, 4 men entered the room and 5 women left the room. After that, the number of women tripled. Now there are 16 men in the room. How many women are currently in the room?", "role": "user" } ]
math
{ "ground_truth": "27", "style": "rule" }
{ "index": 3689, "need_tools_kwargs": true, "question": "Initially, the men and women in a room were in the ratio of 7 : 8. Then, 4 men entered the room and 5 women left the room. After that, the number of women tripled. Now there are 16 men in the room. How many women are currently in the room?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Italian translation of the fifth studio album by the Hong Kong-based rock duo formed by Julio Acconci and Dino Acconci? ", "role": "user" } ]
qa
{ "ground_truth": "\"I sing\"", "style": "rule" }
{ "index": 3690, "need_tools_kwargs": true, "question": "What is the Italian translation of the fifth studio album by the Hong Kong-based rock duo formed by Julio Acconci and Dino Acconci? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "若实数 $x, y$ 满足 $x-4 \\sqrt{y}=2 \\sqrt{x-y}$, 则 $x$ 的取值范围是 \\qquad. 请给出区间端点之和。", "role": "user" } ]
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 3691, "need_tools_kwargs": true, "question": "若实数 $x, y$ 满足 $x-4 \\sqrt{y}=2 \\sqrt{x-y}$, 则 $x$ 的取值范围是 \\qquad. 请给出区间端点之和。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which film has the director who was born first, Durian Durian or Black & White & Sex?", "role": "user" } ]
qa
{ "ground_truth": "Black & White & Sex", "style": "rule" }
{ "index": 3692, "need_tools_kwargs": true, "question": "Which film has the director who was born first, Durian Durian or Black & White & Sex?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Indiscreet (1931 Film)?", "role": "user" } ]
qa
{ "ground_truth": "July 5, 1969", "style": "rule" }
{ "index": 3693, "need_tools_kwargs": true, "question": "What is the date of death of the director of film Indiscreet (1931 Film)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who starred in the 1992 film directed by the director of Cherry Falls for which he gained cult success?", "role": "user" } ]
qa
{ "ground_truth": "Russell Crowe", "style": "rule" }
{ "index": 3694, "need_tools_kwargs": true, "question": "Who starred in the 1992 film directed by the director of Cherry Falls for which he gained cult success?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "This famous televangelist who had a summer festival and is known as the godfather of charismatic movement was ordained in what churches?", "role": "user" } ]
qa
{ "ground_truth": "Pentecostal Holiness and United Methodist", "style": "rule" }
{ "index": 3695, "need_tools_kwargs": true, "question": "This famous televangelist who had a summer festival and is known as the godfather of charismatic movement was ordained in what churches?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, directed by Mathieu Kassovitz, has a sequel titled \"Angels of the Apocalypse\"?", "role": "user" } ]
qa
{ "ground_truth": "The Crimson Rivers", "style": "rule" }
{ "index": 3696, "need_tools_kwargs": true, "question": "Which film, directed by Mathieu Kassovitz, has a sequel titled \"Angels of the Apocalypse\"?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 name of the character who has a son named Louis and has been played by the same actor since the series' inception?", "role": "user" } ]
qa
{ "ground_truth": "Charlie Fairhead", "style": "rule" }
{ "index": 3697, "need_tools_kwargs": true, "question": "What is the name of the character who has a son named Louis and has been played by the same actor since the series' inception?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Roland The Mighty born?", "role": "user" } ]
qa
{ "ground_truth": "Rome", "style": "rule" }
{ "index": 3698, "need_tools_kwargs": true, "question": "Where was the director of film Roland The Mighty born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the curve $y=x^{4}+ax+1$ has a tangent at the point $(-1,a+2)$ with a slope of $8$, then $a$ equals (    )\nA: $9$\nB: $6$\nC: $-9$\nD: $-6$", "role": "user" } ]
math
{ "ground_truth": "-6", "style": "rule" }
{ "index": 3699, "need_tools_kwargs": true, "question": "Given the curve $y=x^{4}+ax+1$ has a tangent at the point $(-1,a+2)$ with a slope of $8$, then $a$ equals (    )\nA: $9$\nB: $6$\nC: $-9$\nD: $-6$", "split": "train" }
null