data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For certain real values of $a, b, c,$ and $d,$ the equation $x^4+ax^3+bx^2+cx+d=0$ has four non-real roots. The product of two of these roots is $13+i$ and the sum of the other two roots is $3+4i,$ where $i=\\sqrt{-1}.$ Find $b.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "51",
"style": "rule"
}
|
{
"index": 1000,
"need_tools_kwargs": true,
"question": "For certain real values of $a, b, c,$ and $d,$ the equation $x^4+ax^3+bx^2+cx+d=0$ has four non-real roots. The product of two of these roots is $13+i$ and the sum of the other two roots is $3+4i,$ where $i=\\sqrt{-1}.$ Find $b.$",
"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": "Which film came out earlier, Fanfare For A Death Scene or Lock Out (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fanfare For A Death Scene",
"style": "rule"
}
|
{
"index": 1001,
"need_tools_kwargs": true,
"question": "Which film came out earlier, Fanfare For A Death Scene or Lock Out (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": "Four friends β Alex, Betty, Clara, and Dave β participated in a relay race by running in pairs, with one pair sitting out each race. Dave ran in 8 races, which was more than any other friend, and Betty ran in 3 races, which was fewer than any other friend. Determine the total number of races those pairs completed.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 1002,
"need_tools_kwargs": true,
"question": "Four friends β Alex, Betty, Clara, and Dave β participated in a relay race by running in pairs, with one pair sitting out each race. Dave ran in 8 races, which was more than any other friend, and Betty ran in 3 races, which was fewer than any other friend. Determine the total number of races those pairs completed.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( m \\) be a non-zero real number. Find the equation of the common tangents for all the circles: \\( x^{2}+y^{2}-4(m+1)x-2my+4m^{2}+4m+1=0 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 1003,
"need_tools_kwargs": true,
"question": "Let \\( m \\) be a non-zero real number. Find the equation of the common tangents for all the circles: \\( x^{2}+y^{2}-4(m+1)x-2my+4m^{2}+4m+1=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": "In what year did Brian Cox appear in a film inspired by the limited comic book series of the same name?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2010",
"style": "rule"
}
|
{
"index": 1004,
"need_tools_kwargs": true,
"question": "In what year did Brian Cox appear in a film inspired by the limited comic book series of the same name?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 north-western suburb of Adelaide lies within a territory which was established on 26 March 1996?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Birkenhead",
"style": "rule"
}
|
{
"index": 1005,
"need_tools_kwargs": true,
"question": "Which north-western suburb of Adelaide lies within a territory which was established on 26 March 1996?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of positive integers $n$ such that the highest power of $7$ dividing $n!$ is $8$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 1006,
"need_tools_kwargs": true,
"question": "Find the number of positive integers $n$ such that the highest power of $7$ dividing $n!$ is $8$ .",
"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": "What is the name of the Finch Family's famous relative who was the senior officer of the Royal Household in the United Kingdom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lord Chamberlain",
"style": "rule"
}
|
{
"index": 1007,
"need_tools_kwargs": true,
"question": "What is the name of the Finch Family's famous relative who was the senior officer of the Royal Household in the United Kingdom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both Mindless (Film) and Circuit (Film) films have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1008,
"need_tools_kwargs": true,
"question": "Do both Mindless (Film) and Circuit (Film) films have the directors from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The side lengths of a triangle are positive integers \\(a, b, c\\) such that \\(a \\leq b \\leq c\\). Given that \\(c = 6\\), the number of triangles satisfying these conditions is:\n(A) 9\n(B) 10 \n(C) 11 \n(D) 12\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 1009,
"need_tools_kwargs": true,
"question": "The side lengths of a triangle are positive integers \\(a, b, c\\) such that \\(a \\leq b \\leq c\\). Given that \\(c = 6\\), the number of triangles satisfying these conditions is:\n(A) 9\n(B) 10 \n(C) 11 \n(D) 12\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": "Do both films Gudachari No.1 and Gambling (Film) have the directors that share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1010,
"need_tools_kwargs": true,
"question": "Do both films Gudachari No.1 and Gambling (Film) have the directors that share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x)=2\\cos ^{2} \\frac{x}{2}- \\sqrt {3}\\sin x$.\n(I) Find the smallest positive period and the range of the function;\n(II) If $a$ is an angle in the second quadrant and $f(a- \\frac {Ο}{3})= \\frac {1}{3}$, find the value of $\\frac {\\cos 2a}{1+\\cos 2a-\\sin 2a}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1-2\\sqrt{2}}{2}",
"style": "rule"
}
|
{
"index": 1011,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=2\\cos ^{2} \\frac{x}{2}- \\sqrt {3}\\sin x$.\n(I) Find the smallest positive period and the range of the function;\n(II) If $a$ is an angle in the second quadrant and $f(a- \\frac {Ο}{3})= \\frac {1}{3}$, find the value of $\\frac {\\cos 2a}{1+\\cos 2a-\\sin 2a}$.",
"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": "In the following alpha-numeric puzzle, each letter represents a different non-zero digit. What are all possible values for $b+e+h$?\n\n$$ \\begin{array}{cccc}\n & a & b & c \\\\\n & d & e & f \\\\\n+ & g & h & i \\\\\n\\hline\n1 & 6 & 6 & 5 \\\\\n\\end{array} $$",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 1012,
"need_tools_kwargs": true,
"question": "In the following alpha-numeric puzzle, each letter represents a different non-zero digit. What are all possible values for $b+e+h$?\n\n$$ \\begin{array}{cccc}\n & a & b & c \\\\\n & d & e & f \\\\\n+ & g & h & i \\\\\n\\hline\n1 & 6 & 6 & 5 \\\\\n\\end{array} $$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the maximum number of sides that the projection of a convex polyhedron with $n$ faces can have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2n - 4",
"style": "rule"
}
|
{
"index": 1013,
"need_tools_kwargs": true,
"question": "What is the maximum number of sides that the projection of a convex polyhedron with $n$ faces can have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film The Ivory Snuff Box?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4 August 1961",
"style": "rule"
}
|
{
"index": 1014,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Ivory Snuff Box?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 circle passes through vertices \\(A\\), \\(B\\), and \\(C\\) of a parallelogram \\(ABCD\\) with sides \\(AB = 5\\) and \\(BC = 2\\) and intersects the line containing the diagonal \\(BD\\) at point \\(E\\). It is known that \\(BE = 8\\). Find \\(BD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{29}{8}",
"style": "rule"
}
|
{
"index": 1015,
"need_tools_kwargs": true,
"question": "A circle passes through vertices \\(A\\), \\(B\\), and \\(C\\) of a parallelogram \\(ABCD\\) with sides \\(AB = 5\\) and \\(BC = 2\\) and intersects the line containing the diagonal \\(BD\\) at point \\(E\\). It is known that \\(BE = 8\\). Find \\(BD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that point $A$ is the left vertex of the hyperbola $x^{2} - y^{2} = 1$, and points $B$ and $C$ lie on the right branch of the hyperbola such that $\\triangle ABC$ is an equilateral triangle, find the area of $\\triangle ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\sqrt{3}",
"style": "rule"
}
|
{
"index": 1016,
"need_tools_kwargs": true,
"question": "Given that point $A$ is the left vertex of the hyperbola $x^{2} - y^{2} = 1$, and points $B$ and $C$ lie on the right branch of the hyperbola such that $\\triangle ABC$ is an equilateral triangle, 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": "This famous baseball player played the same position as his older brother, Vince, and was best know. For a hitting streak that still stands today ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Joseph Paul DiMaggio",
"style": "rule"
}
|
{
"index": 1017,
"need_tools_kwargs": true,
"question": "This famous baseball player played the same position as his older brother, Vince, and was best know. For a hitting streak that still stands today ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the child of the composer of film House No. 44?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rahul Dev Burman",
"style": "rule"
}
|
{
"index": 1018,
"need_tools_kwargs": true,
"question": "Who is the child of the composer of film House No. 44?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was the older brother of Jared Quay Campbell born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1986",
"style": "rule"
}
|
{
"index": 1019,
"need_tools_kwargs": true,
"question": "What year was the older brother of Jared Quay Campbell 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": "Calculate $231_4 \\times 24_4 \\div 3_4$. Give your answer in base 4.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2310_4",
"style": "rule"
}
|
{
"index": 1020,
"need_tools_kwargs": true,
"question": "Calculate $231_4 \\times 24_4 \\div 3_4$. Give your answer in base 4.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the measure of the angle\n\n$$\n\\delta = \\arccos \\left( \\left( \\sin 2195^\\circ + \\sin 2196^\\circ + \\cdots + \\sin 5795^\\circ \\right)^{\\cos 2160^\\circ} + \\cos 2161^\\circ + \\cdots + \\cos 5760^\\circ \\right)\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{11\\pi}{36}",
"style": "rule"
}
|
{
"index": 1021,
"need_tools_kwargs": true,
"question": "Find the measure of the angle\n\n$$\n\\delta = \\arccos \\left( \\left( \\sin 2195^\\circ + \\sin 2196^\\circ + \\cdots + \\sin 5795^\\circ \\right)^{\\cos 2160^\\circ} + \\cos 2161^\\circ + \\cdots + \\cos 5760^\\circ \\right)\n$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the diagram, points \\(B\\), \\(C\\), and \\(D\\) lie on a line. Also, \\(\\angle ABC = 90^\\circ\\) and \\(\\angle ACD = 150^\\circ\\). The value of \\(x\\) is:",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 1022,
"need_tools_kwargs": true,
"question": "In the diagram, points \\(B\\), \\(C\\), and \\(D\\) lie on a line. Also, \\(\\angle ABC = 90^\\circ\\) and \\(\\angle ACD = 150^\\circ\\). The value of \\(x\\) is:",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A 7x7 geoboard has points evenly spaced vertically and horizontally. Segment $AB$ is drawn using two points and has a length of 3 units. From the remaining points, determine how many choices for point $C$ would make triangle $ABC$ isosceles.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 1023,
"need_tools_kwargs": true,
"question": "A 7x7 geoboard has points evenly spaced vertically and horizontally. Segment $AB$ is drawn using two points and has a length of 3 units. From the remaining points, determine how many choices for point $C$ would make triangle $ABC$ isosceles.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 zoo is found in the same park as ElCid Campeador?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "San Diego Zoo",
"style": "rule"
}
|
{
"index": 1024,
"need_tools_kwargs": true,
"question": "What zoo is found in the same park as ElCid Campeador?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For how many values of the digit $B$ is it true that $108$ is divisible by $B$ and $456{,}7B4$ is divisible by $8$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1025,
"need_tools_kwargs": true,
"question": "For how many values of the digit $B$ is it true that $108$ is divisible by $B$ and $456{,}7B4$ is divisible by $8$?",
"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": "Suppose you have a $6$-sided die with $3$ faces colored red, $2$ faces colored blue, and $1$ face colored green. You roll this die $20$ times and record the color that shows up on top. What is the expected value of the product of the number of red faces, blue faces, and green faces?",
"role": "user"
}
] |
math
|
{
"ground_truth": "190",
"style": "rule"
}
|
{
"index": 1026,
"need_tools_kwargs": true,
"question": "Suppose you have a $6$-sided die with $3$ faces colored red, $2$ faces colored blue, and $1$ face colored green. You roll this die $20$ times and record the color that shows up on top. What is the expected value of the product of the number of red faces, blue faces, and green faces?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American Harpist born January 18, 1982 did a collaboration with Zach Hill in what year? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2003",
"style": "rule"
}
|
{
"index": 1027,
"need_tools_kwargs": true,
"question": "The American Harpist born January 18, 1982 did a collaboration with Zach Hill 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": "Are Hans Klingenberg and John Mcguire (Composer) of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1028,
"need_tools_kwargs": true,
"question": "Are Hans Klingenberg and John Mcguire (Composer) 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": "When did the director of film I Thank A Fool die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 7, 1989",
"style": "rule"
}
|
{
"index": 1029,
"need_tools_kwargs": true,
"question": "When did the director of film I Thank A Fool 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": "The points $A$ , $B$ and $C$ lie on the surface of a sphere with center $O$ and radius $20$ . It is given that $AB=13$ , $BC=14$ , $CA=15$ , and that the distance from $O$ to triangle $ABC$ is $\\frac{m\\sqrt{n}}k$ , where $m$ , $n$ , and $k$ are positive integers, $m$ and $k$ are relatively prime, and $n$ is not divisible by the square of any prime. Find $m+n+k$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "118",
"style": "rule"
}
|
{
"index": 1030,
"need_tools_kwargs": true,
"question": "The points $A$ , $B$ and $C$ lie on the surface of a sphere with center $O$ and radius $20$ . It is given that $AB=13$ , $BC=14$ , $CA=15$ , and that the distance from $O$ to triangle $ABC$ is $\\frac{m\\sqrt{n}}k$ , where $m$ , $n$ , and $k$ are positive integers, $m$ and $k$ are relatively prime, and $n$ is not divisible by the square of any prime. Find $m+n+k$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In 12 days, it will be the year 2016. Haohau remarked: Up to now, I have only experienced 2 leap years, and the year I was born is a multiple of 9. How old will Haohau be in 2016?",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 1031,
"need_tools_kwargs": true,
"question": "In 12 days, it will be the year 2016. Haohau remarked: Up to now, I have only experienced 2 leap years, and the year I was born is a multiple of 9. How old will Haohau be in 2016?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What American heavy metal band from Los Angeles has Greg Wells produced and written with?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Otep",
"style": "rule"
}
|
{
"index": 1032,
"need_tools_kwargs": true,
"question": "What American heavy metal band from Los Angeles has Greg Wells produced and written with?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Kwa Geok Choo's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23 March 2015",
"style": "rule"
}
|
{
"index": 1033,
"need_tools_kwargs": true,
"question": "What is the date of death of Kwa Geok Choo's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( K, L, \\) and \\( M \\) be the midpoints of the edges \\( AD \\), \\( A_1B_1 \\), and \\( CC_1 \\) respectively of a rectangular parallelepiped \\( ABCDA_1B_1C_1D_1 \\), where \\( AB = a \\), \\( AA_1 = b \\), and \\( AD = c \\). Find the ratio of the sum of the squares of the sides of triangle \\( KLM \\) to the square of the diagonal of the parallelepiped.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{2}",
"style": "rule"
}
|
{
"index": 1034,
"need_tools_kwargs": true,
"question": "Let \\( K, L, \\) and \\( M \\) be the midpoints of the edges \\( AD \\), \\( A_1B_1 \\), and \\( CC_1 \\) respectively of a rectangular parallelepiped \\( ABCDA_1B_1C_1D_1 \\), where \\( AB = a \\), \\( AA_1 = b \\), and \\( AD = c \\). Find the ratio of the sum of the squares of the sides of triangle \\( KLM \\) to the square of the diagonal of the parallelepiped.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $A,B,C$ be points in that order along a line, such that $AB=20$ and $BC=18$. Let $\\omega$ be a circle of nonzero radius centered at $B$, and let $\\ell_1$ and $\\ell_2$ be tangents to $\\omega$ through $A$ and $C$, respectively. Let $K$ be the intersection of $\\ell_1$ and $\\ell_2$. Let $X$ lie on segment $\\overline{KA}$ and $Y$ lie on segment $\\overline{KC}$ such that $XY\\|BC$ and $XY$ is tangent to $\\omega$. What is the largest possible integer length for $XY$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "35",
"style": "rule"
}
|
{
"index": 1035,
"need_tools_kwargs": true,
"question": "Let $A,B,C$ be points in that order along a line, such that $AB=20$ and $BC=18$. Let $\\omega$ be a circle of nonzero radius centered at $B$, and let $\\ell_1$ and $\\ell_2$ be tangents to $\\omega$ through $A$ and $C$, respectively. Let $K$ be the intersection of $\\ell_1$ and $\\ell_2$. Let $X$ lie on segment $\\overline{KA}$ and $Y$ lie on segment $\\overline{KC}$ such that $XY\\|BC$ and $XY$ is tangent to $\\omega$. What is the largest possible integer length for $XY$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Home and Away, what character was played by the person who wrote the lyrics to You Won't Forget About Me?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Emma Jackson",
"style": "rule"
}
|
{
"index": 1036,
"need_tools_kwargs": true,
"question": "In Home and Away, what character was played by the person who wrote the lyrics to You Won't Forget About Me?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 movie starred an actress nominated for the BAFTA and Golden Globe awards for her performance in \"The Carpetbaggers\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Just Getting Started",
"style": "rule"
}
|
{
"index": 1037,
"need_tools_kwargs": true,
"question": "Which movie starred an actress nominated for the BAFTA and Golden Globe awards for her performance in \"The Carpetbaggers\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 postal area located in Oakmont, Maryland name means \"House of Mercy\" in Arabic and \"House of Kindness\" in Hebrew?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bethesda, Maryland",
"style": "rule"
}
|
{
"index": 1038,
"need_tools_kwargs": true,
"question": "What postal area located in Oakmont, Maryland name means \"House of Mercy\" in Arabic and \"House of Kindness\" in Hebrew?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the American actress starred in \"Where the Heart Is\" born? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 11, 1962",
"style": "rule"
}
|
{
"index": 1039,
"need_tools_kwargs": true,
"question": "When was the American actress starred in \"Where the Heart Is\" 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": "If \\( n \\) is a real number, then the system of equations\n$$\n\\left\\{\n\\begin{array}{l}\nn x + y = 1, \\\\\nn y + z = 1, \\\\\nx + n z = 1 \n\\end{array}\n\\right.\n$$\nhas no solution if and only if \\( n \\) equals\n(A) -1\n(B) 0\n(C) 1\n(D) 0 or 1\n(E) \\(\\frac{1}{2}\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1",
"style": "rule"
}
|
{
"index": 1040,
"need_tools_kwargs": true,
"question": "If \\( n \\) is a real number, then the system of equations\n$$\n\\left\\{\n\\begin{array}{l}\nn x + y = 1, \\\\\nn y + z = 1, \\\\\nx + n z = 1 \n\\end{array}\n\\right.\n$$\nhas no solution if and only if \\( n \\) equals\n(A) -1\n(B) 0\n(C) 1\n(D) 0 or 1\n(E) \\(\\frac{1}{2}\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Sean Masterson was an improvisational performer on which Drew Carey's show?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Drew Carey's Improv-A-Ganza\"",
"style": "rule"
}
|
{
"index": 1041,
"need_tools_kwargs": true,
"question": "Sean Masterson was an improvisational performer on which Drew Carey's 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": "Find the area of a triangle if it is known that its medians \\(CM\\) and \\(BN\\) are 6 and 4.5 respectively, and \\(\\angle BKM = 45^\\circ\\), where \\(K\\) is the point of intersection of the medians.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9\\sqrt{2}",
"style": "rule"
}
|
{
"index": 1042,
"need_tools_kwargs": true,
"question": "Find the area of a triangle if it is known that its medians \\(CM\\) and \\(BN\\) are 6 and 4.5 respectively, and \\(\\angle BKM = 45^\\circ\\), where \\(K\\) is the point of intersection of the medians.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 10 coins, out of which 9 are genuine and of equal weight, and one is counterfeit and lighter than the others. What is the minimum number of weighings on a balance scale required to find the counterfeit coin?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 1043,
"need_tools_kwargs": true,
"question": "There are 10 coins, out of which 9 are genuine and of equal weight, and one is counterfeit and lighter than the others. What is the minimum number of weighings on a balance scale required to find the counterfeit coin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the square of four times a positive integer is decreased by the integer, the result is $2345$. What is the integer?",
"role": "user"
}
] |
math
|
{
"ground_truth": "z = 7",
"style": "rule"
}
|
{
"index": 1044,
"need_tools_kwargs": true,
"question": "When the square of four times a positive integer is decreased by the integer, the result is $2345$. What is the integer?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What landmark is located in Caithness, Scotland, and west of John o' Groats?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Castle of Mey",
"style": "rule"
}
|
{
"index": 1045,
"need_tools_kwargs": true,
"question": "What landmark is located in Caithness, Scotland, and west of John o' Groats?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=x^{2}-mx+m-1$.\n\n1. Find the range of values for the real number $m$ such that $f(x) \\geqslant -1$ always holds when $x \\in [2,4]$.\n2. Determine if there exist integers $a$ and $b$ ($a < b$) such that the solution set of the inequality $a \\leqslant f(x) \\leqslant b$ with respect to $x$ is $\\{x|a \\leqslant x \\leqslant b\\}$. If such integers exist, find their values; otherwise, explain the reason.",
"role": "user"
}
] |
math
|
{
"ground_truth": " \\begin{cases} a=0 \\\\ b=2 \\end{cases} ",
"style": "rule"
}
|
{
"index": 1046,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=x^{2}-mx+m-1$.\n\n1. Find the range of values for the real number $m$ such that $f(x) \\geqslant -1$ always holds when $x \\in [2,4]$.\n2. Determine if there exist integers $a$ and $b$ ($a < b$) such that the solution set of the inequality $a \\leqslant f(x) \\leqslant b$ with respect to $x$ is $\\{x|a \\leqslant x \\leqslant b\\}$. If such integers exist, find their values; otherwise, explain the reason.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two distinct members of the set $\\{ 5, 7, 14, 25, 35, 49, 63 \\}$ are randomly selected and multiplied, what is the probability that the product is a multiple of 105? Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{21}",
"style": "rule"
}
|
{
"index": 1047,
"need_tools_kwargs": true,
"question": "If two distinct members of the set $\\{ 5, 7, 14, 25, 35, 49, 63 \\}$ are randomly selected and multiplied, what is the probability that the product is a multiple of 105? Express your answer as a common fraction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of Prince Felix Of Denmark's mother?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hong Kong",
"style": "rule"
}
|
{
"index": 1048,
"need_tools_kwargs": true,
"question": "What is the place of birth of Prince Felix Of Denmark's mother?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The shortest distance from a point on the parabola $x^2=y$ to the line $y=2x+m$ is $\\sqrt{5}$. Find the value of $m$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-6",
"style": "rule"
}
|
{
"index": 1049,
"need_tools_kwargs": true,
"question": "The shortest distance from a point on the parabola $x^2=y$ to the line $y=2x+m$ is $\\sqrt{5}$. Find the value of $m$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The 2009β10 La Liga season was Xerex's first season as well which overall season for La Liga since it's establishment?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "79th",
"style": "rule"
}
|
{
"index": 1050,
"need_tools_kwargs": true,
"question": "The 2009β10 La Liga season was Xerex's first season as well which overall season for La Liga since it's establishment?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 smock mill is located in Frisia?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Slagdijkstermolen",
"style": "rule"
}
|
{
"index": 1051,
"need_tools_kwargs": true,
"question": "What smock mill is located in Frisia?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 is the host of the tournament which teams qualify for at the 2017 Pan American Women's Handball Championship?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Germany",
"style": "rule"
}
|
{
"index": 1052,
"need_tools_kwargs": true,
"question": "What country is the host of the tournament which teams qualify for at the 2017 Pan American Women's Handball Championship?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Christopher Humbert was born in a city in which county ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Stanislaus County",
"style": "rule"
}
|
{
"index": 1053,
"need_tools_kwargs": true,
"question": "Christopher Humbert was born in a city in which county ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle $ABC$, the medians $\\overline{AD}$ and $\\overline{CE}$ have lengths $21$ and $30$, respectively, and $AB = 28$. Extend $\\overline{CE}$ to intersect the circumcircle of $ABC$ at $F$. The area of triangle $AFC$ is $m\\sqrt{n}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. Find $m+n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "63 + 14 = 77",
"style": "rule"
}
|
{
"index": 1054,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, the medians $\\overline{AD}$ and $\\overline{CE}$ have lengths $21$ and $30$, respectively, and $AB = 28$. Extend $\\overline{CE}$ to intersect the circumcircle of $ABC$ at $F$. The area of triangle $AFC$ is $m\\sqrt{n}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. Find $m+n$.",
"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": "Who plays Dutch Schultz in a film with an Australian Actress who has won two Primetime Emmy Awards?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dustin Hoffman",
"style": "rule"
}
|
{
"index": 1055,
"need_tools_kwargs": true,
"question": "Who plays Dutch Schultz in a film with an Australian Actress who has won two Primetime Emmy Awards?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Arnaud Lagardère's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "14 March 2003",
"style": "rule"
}
|
{
"index": 1056,
"need_tools_kwargs": true,
"question": "When did Arnaud Lagardère'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": "Regular hexagon \\( P_{1} P_{2} P_{3} P_{4} P_{5} P_{6} \\) has side length 2. For \\( 1 \\leq i \\leq 6 \\), let \\( C_{i} \\) be a unit circle centered at \\( P_{i} \\) and \\( \\ell_{i} \\) be one of the internal common tangents of \\( C_{i} \\) and \\( C_{i+2} \\), where \\( C_{7} = C_{1} \\) and \\( C_{8} = C_{2} \\). Assume that the lines \\( \\{ \\ell_{1}, \\ell_{2}, \\ell_{3}, \\ell_{4}, \\ell_{5}, \\ell_{6} \\} \\) bound a regular hexagon. The area of this hexagon can be expressed as \\( \\sqrt{\\frac{a}{b}} \\), where \\( a \\) and \\( b \\) are relatively prime positive integers. Compute \\( 100a + b \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1603",
"style": "rule"
}
|
{
"index": 1057,
"need_tools_kwargs": true,
"question": "Regular hexagon \\( P_{1} P_{2} P_{3} P_{4} P_{5} P_{6} \\) has side length 2. For \\( 1 \\leq i \\leq 6 \\), let \\( C_{i} \\) be a unit circle centered at \\( P_{i} \\) and \\( \\ell_{i} \\) be one of the internal common tangents of \\( C_{i} \\) and \\( C_{i+2} \\), where \\( C_{7} = C_{1} \\) and \\( C_{8} = C_{2} \\). Assume that the lines \\( \\{ \\ell_{1}, \\ell_{2}, \\ell_{3}, \\ell_{4}, \\ell_{5}, \\ell_{6} \\} \\) bound a regular hexagon. The area of this hexagon can be expressed as \\( \\sqrt{\\frac{a}{b}} \\), where \\( a \\) and \\( b \\) are relatively prime positive integers. Compute \\( 100a + b \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $@$ be a binary operation on the natural numbers satisfying the properties that, for all $a, b,$ and $c$, $(a + b)@c = (a@c) + (b@c)$ and $a@(b + c) = (a@b)@c. $ Given that $5@5=160$, find the value of $7@7$",
"role": "user"
}
] |
math
|
{
"ground_truth": "896",
"style": "rule"
}
|
{
"index": 1058,
"need_tools_kwargs": true,
"question": "Let $@$ be a binary operation on the natural numbers satisfying the properties that, for all $a, b,$ and $c$, $(a + b)@c = (a@c) + (b@c)$ and $a@(b + c) = (a@b)@c. $ Given that $5@5=160$, find the value of $7@7$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose that $x$ is a real number such that \\( \\frac{27 \\times 9^x}{4^x} = \\frac{3^x}{8^x} \\). Find the value of \\( 2^{-(1+\\log_2 3)x} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "27",
"style": "rule"
}
|
{
"index": 1059,
"need_tools_kwargs": true,
"question": "Suppose that $x$ is a real number such that \\( \\frac{27 \\times 9^x}{4^x} = \\frac{3^x}{8^x} \\). Find the value of \\( 2^{-(1+\\log_2 3)x} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the university where Hunter Hillenmeyer played college football named in honor of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cornelius Vanderbilt",
"style": "rule"
}
|
{
"index": 1060,
"need_tools_kwargs": true,
"question": "Who is the university where Hunter Hillenmeyer played college football named in honor of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which retired Australian musician and songwriter is George Redburn Young younger brother",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Malcolm Mitchell Young",
"style": "rule"
}
|
{
"index": 1061,
"need_tools_kwargs": true,
"question": "Which retired Australian musician and songwriter is George Redburn Young younger brother",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Each day, cat Basilio and fox Alisa visit all 20 courtyards in the capital of Fool's Country. In each courtyard, they are either given or not given one gold coin with a probability of $\\frac{1}{2}$. By the end of the day, if the number of received gold coins is even, then the fox and the cat share them equally. If the number of coins is odd, they share all the coins except one equally, and cat Basilio keeps the last coin as the commercial director of the enterprise. Find the expected number of coins received by the cat per day.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5.25",
"style": "rule"
}
|
{
"index": 1062,
"need_tools_kwargs": true,
"question": "Each day, cat Basilio and fox Alisa visit all 20 courtyards in the capital of Fool's Country. In each courtyard, they are either given or not given one gold coin with a probability of $\\frac{1}{2}$. By the end of the day, if the number of received gold coins is even, then the fox and the cat share them equally. If the number of coins is odd, they share all the coins except one equally, and cat Basilio keeps the last coin as the commercial director of the enterprise. Find the expected number of coins received by the cat per day.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "(1) Find the value of $\\cos\\frac{5\\pi}{3}$.\n\n(2) Given that $\\frac{\\sin\\alpha + 2\\cos\\alpha}{5\\cos\\alpha - \\sin\\alpha} = \\frac{5}{16}$, find the value of $\\tan\\alpha$.\n\n(3) Given that $\\sin\\theta = \\frac{1}{3}$ and $\\theta \\in (0, \\frac{\\pi}{2})$, find the value of $\\tan 2\\theta$.\n\n(4) In triangle $ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$, respectively. Moreover, $a\\sin A\\cos C + c\\sin A\\cos A = \\frac{1}{3}c$, $D$ is the midpoint of $AC$, and $\\cos B = \\frac{2\\sqrt{5}}{5}$, $BD = \\sqrt{26}$. Find the length of the shortest side of triangle $ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{2}",
"style": "rule"
}
|
{
"index": 1063,
"need_tools_kwargs": true,
"question": "(1) Find the value of $\\cos\\frac{5\\pi}{3}$.\n\n(2) Given that $\\frac{\\sin\\alpha + 2\\cos\\alpha}{5\\cos\\alpha - \\sin\\alpha} = \\frac{5}{16}$, find the value of $\\tan\\alpha$.\n\n(3) Given that $\\sin\\theta = \\frac{1}{3}$ and $\\theta \\in (0, \\frac{\\pi}{2})$, find the value of $\\tan 2\\theta$.\n\n(4) In triangle $ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$, respectively. Moreover, $a\\sin A\\cos C + c\\sin A\\cos A = \\frac{1}{3}c$, $D$ is the midpoint of $AC$, and $\\cos B = \\frac{2\\sqrt{5}}{5}$, $BD = \\sqrt{26}$. Find the length of the shortest side 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": "Were Oleh Makarov and JΓΊlio Santos from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1064,
"need_tools_kwargs": true,
"question": "Were Oleh Makarov and JΓΊlio Santos from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all integer triplets \\((x, y, z)\\) such that:\n\\[ x^{3} + y^{3} + z^{3} - 3xyz = 2003. \\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "(668, 668, 667), (668, 667, 668), (667, 668, 668)",
"style": "rule"
}
|
{
"index": 1065,
"need_tools_kwargs": true,
"question": "Find all integer triplets \\((x, y, z)\\) such that:\n\\[ x^{3} + y^{3} + z^{3} - 3xyz = 2003. \\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In trapezoid \\(EFGH\\), where \\(EF\\) is parallel to \\(GH\\), the lengths of the sides are given as \\(EF = 7\\), \\(FG = 4\\sqrt{2}\\), with angles \\(\\angle FGH = 60^\\circ\\) and \\(\\angle GHE = 30^\\circ\\). Using this information, determine the length of \\(GH\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "7+2\\sqrt{2}+2\\sqrt{6}",
"style": "rule"
}
|
{
"index": 1066,
"need_tools_kwargs": true,
"question": "In trapezoid \\(EFGH\\), where \\(EF\\) is parallel to \\(GH\\), the lengths of the sides are given as \\(EF = 7\\), \\(FG = 4\\sqrt{2}\\), with angles \\(\\angle FGH = 60^\\circ\\) and \\(\\angle GHE = 30^\\circ\\). Using this information, determine the length of \\(GH\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Actor Sylvester Stallone's younger brother starred in what 1991 American action comedy film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hudson Hawk",
"style": "rule"
}
|
{
"index": 1067,
"need_tools_kwargs": true,
"question": "Actor Sylvester Stallone's younger brother starred in what 1991 American action comedy 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": "Given the function \\( f(x) = \\log_{2}(x + 1) \\), and as the point \\((x, y)\\) moves along the graph of \\( f(x) \\), the point \\(\\left(\\frac{x}{3}, \\frac{y}{2}\\right)\\) moves along the graph of \\( y = g(x) \\). Find the maximum value of the function \\( h(x) = g(x) - f(x) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2} \\log_2 \\left( \\frac{9}{8} \\right)",
"style": "rule"
}
|
{
"index": 1068,
"need_tools_kwargs": true,
"question": "Given the function \\( f(x) = \\log_{2}(x + 1) \\), and as the point \\((x, y)\\) moves along the graph of \\( f(x) \\), the point \\(\\left(\\frac{x}{3}, \\frac{y}{2}\\right)\\) moves along the graph of \\( y = g(x) \\). Find the maximum value of the function \\( h(x) = g(x) - f(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": "Which Missouri city made the Money magazine list of best cities to live in the U.S. and has an office of a natural gas company that serves 155 Missouri communities?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lee's Summit",
"style": "rule"
}
|
{
"index": 1069,
"need_tools_kwargs": true,
"question": "Which Missouri city made the Money magazine list of best cities to live in the U.S. and has an office of a natural gas company that serves 155 Missouri communities?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actor gained notice for her role as Allison MacKenzie in the television soap opera \"Peyton Place\" and starred in a 1971 British psychological horror-thriller film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mia Farrow",
"style": "rule"
}
|
{
"index": 1070,
"need_tools_kwargs": true,
"question": "What actor gained notice for her role as Allison MacKenzie in the television soap opera \"Peyton Place\" and starred in a 1971 British psychological horror-thriller 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": "From the set of integers $\\{1,2,3,\\dots,3009\\}$, choose $k$ pairs $\\{a_i,b_i\\}$ with $a_i<b_i$ so that no two pairs share a common element. Each sum $a_i+b_i$ must be distinct and less than or equal to $3009$. Determine the maximum possible value of $k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1504",
"style": "rule"
}
|
{
"index": 1071,
"need_tools_kwargs": true,
"question": "From the set of integers $\\{1,2,3,\\dots,3009\\}$, choose $k$ pairs $\\{a_i,b_i\\}$ with $a_i<b_i$ so that no two pairs share a common element. Each sum $a_i+b_i$ must be distinct and less than or equal to $3009$. Determine the maximum possible value of $k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In an isosceles triangle, the radius of the inscribed circle is ${ }^{2} / 7$ of its height, and the perimeter of the triangle is 56. Find its sides.",
"role": "user"
}
] |
math
|
{
"ground_truth": "162020",
"style": "rule"
}
|
{
"index": 1072,
"need_tools_kwargs": true,
"question": "In an isosceles triangle, the radius of the inscribed circle is ${ }^{2} / 7$ of its height, and the perimeter of the triangle is 56. Find its sides.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that the height of cone SO is 4 and its volume is $4\\pi$, then the base radius $r=$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt {3}",
"style": "rule"
}
|
{
"index": 1073,
"need_tools_kwargs": true,
"question": "Given that the height of cone SO is 4 and its volume is $4\\pi$, then the base radius $r=$ \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If 15 students in a class average 70 % on an exam and 10 students average 95 % on the same exam, what is the average in percent for all 25 students?",
"role": "user"
}
] |
math
|
{
"ground_truth": "80\\%",
"style": "rule"
}
|
{
"index": 1074,
"need_tools_kwargs": true,
"question": "If 15 students in a class average 70 % on an exam and 10 students average 95 % on the same exam, what is the average in percent for all 25 students?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 average student headcount for the fall terms of the `03-`04, `04-`05, and `05-`06 academic years? Express your answer to the nearest whole number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "11467",
"style": "rule"
}
|
{
"index": 1075,
"need_tools_kwargs": true,
"question": "What is the average student headcount for the fall terms of the `03-`04, `04-`05, and `05-`06 academic years? Express your answer to the nearest whole 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": "Distribute 9 identical balls into 3 different boxes with each box containing at least one ball and the number of balls in each box being distinct. How many different distributions are there?",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 1076,
"need_tools_kwargs": true,
"question": "Distribute 9 identical balls into 3 different boxes with each box containing at least one ball and the number of balls in each box being distinct. How many different distributions are there?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two cubic dice are thrown in succession, where \\\\(x\\\\) represents the number shown by the first die, and \\\\(y\\\\) represents the number shown by the second die. \n\\\\((1)\\\\) Find the probability that point \\\\(P(x,y)\\\\) lies on the line \\\\(y=x-1\\\\); \n\\\\((2)\\\\) Find the probability that point \\\\(P(x,y)\\\\) satisfies \\\\(y^{2} < 4x\\\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{17}{36}",
"style": "rule"
}
|
{
"index": 1077,
"need_tools_kwargs": true,
"question": "Two cubic dice are thrown in succession, where \\\\(x\\\\) represents the number shown by the first die, and \\\\(y\\\\) represents the number shown by the second die. \n\\\\((1)\\\\) Find the probability that point \\\\(P(x,y)\\\\) lies on the line \\\\(y=x-1\\\\); \n\\\\((2)\\\\) Find the probability that point \\\\(P(x,y)\\\\) satisfies \\\\(y^{2} < 4x\\\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 video album contains songs from the third studio album by No Doubt?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rock Steady Live",
"style": "rule"
}
|
{
"index": 1078,
"need_tools_kwargs": true,
"question": "What video album contains songs from the third studio album by No Doubt?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 how many pairs of integers \\((x,y)\\) satisfy the equation \\(\\frac{x}{y+7} + \\frac{y}{x+7} = 1\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 1079,
"need_tools_kwargs": true,
"question": "Determine how many pairs of integers \\((x,y)\\) satisfy the equation \\(\\frac{x}{y+7} + \\frac{y}{x+7} = 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": "The function $f(x)$ is an even function defined on $\\mathbb{R}$ and is increasing on $[0,+\\infty)$. If $f(a)\\leqslant f(2)$, then the range of the real number $a$ is $(\\quad\\quad)$.\nA: $(-β,2]$\nB: $(0,2]$\nC: $[-2,2]$\nD: $(-β,-2]βͺ[2,+β)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "[-2,2]",
"style": "rule"
}
|
{
"index": 1080,
"need_tools_kwargs": true,
"question": "The function $f(x)$ is an even function defined on $\\mathbb{R}$ and is increasing on $[0,+\\infty)$. If $f(a)\\leqslant f(2)$, then the range of the real number $a$ is $(\\quad\\quad)$.\nA: $(-β,2]$\nB: $(0,2]$\nC: $[-2,2]$\nD: $(-β,-2]βͺ[2,+β)$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 public holiday is always celebrated on the third Wednesday of a certain month. In that month, the holiday cannot occur on which of the following days?\n(A) 16th\n(B) 22nd\n(C) 18th\n(D) 19th\n(E) 21st",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 1081,
"need_tools_kwargs": true,
"question": "A public holiday is always celebrated on the third Wednesday of a certain month. In that month, the holiday cannot occur on which of the following days?\n(A) 16th\n(B) 22nd\n(C) 18th\n(D) 19th\n(E) 21st",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 three-digit number \\(2a3\\) is added to the number \\(427\\) to give the three-digit number \\(6c9\\). If \\(6c9\\) is divisible by 3, determine the values of \\(a\\) and \\(c\\) and find the sum \\(a + c\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 1082,
"need_tools_kwargs": true,
"question": "The three-digit number \\(2a3\\) is added to the number \\(427\\) to give the three-digit number \\(6c9\\). If \\(6c9\\) is divisible by 3, determine the values of \\(a\\) and \\(c\\) and find the sum \\(a + 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": "When was Auguste-Maurice Tessier's father born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "November 20, 1853",
"style": "rule"
}
|
{
"index": 1083,
"need_tools_kwargs": true,
"question": "When was Auguste-Maurice Tessier's father 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": "How many gatherings take place every Sunday at the church that Pascoe St Leger Grenfell donated an acre of land for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "four",
"style": "rule"
}
|
{
"index": 1084,
"need_tools_kwargs": true,
"question": "How many gatherings take place every Sunday at the church that Pascoe St Leger Grenfell donated an acre of land for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Adelheid Amalie Gallitzin's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "18 August 1751",
"style": "rule"
}
|
{
"index": 1085,
"need_tools_kwargs": true,
"question": "What is the date of death of Adelheid Amalie Gallitzin's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the duo name of the singers that Clint Ballard Jr. discovered in 1957 and became their manager?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kalin Twins",
"style": "rule"
}
|
{
"index": 1086,
"need_tools_kwargs": true,
"question": "What is the duo name of the singers that Clint Ballard Jr. discovered in 1957 and became their manager?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 segments with endpoints on the sides of a triangle, parallel to its sides, pass through one point and have the same length \\( x \\).\n\nFind \\( x \\) if the sides of the triangle are equal to \\( a, b, c \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2abc}{ab + ac + bc}",
"style": "rule"
}
|
{
"index": 1087,
"need_tools_kwargs": true,
"question": "Three segments with endpoints on the sides of a triangle, parallel to its sides, pass through one point and have the same length \\( x \\).\n\nFind \\( x \\) if the sides of the triangle are equal to \\( a, b, c \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What town with a population of 36,124 at the 2010 census, has the Suffolk County Veterans Memorial Highway on the Jericho Turnpike?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Commack",
"style": "rule"
}
|
{
"index": 1088,
"need_tools_kwargs": true,
"question": "What town with a population of 36,124 at the 2010 census, has the Suffolk County Veterans Memorial Highway on the Jericho Turnpike?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the seat height in millimeters of the Honda CLR?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "815",
"style": "rule"
}
|
{
"index": 1089,
"need_tools_kwargs": true,
"question": "What was the seat height in millimeters of the Honda CLR?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 of the vertices of parallelogram $ABCD$ are $A = (3,-1,2),$ $B = (1,2,-4),$ and $C = (-1,1,2).$ Find the coordinates of $D.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-3, 4, -4)",
"style": "rule"
}
|
{
"index": 1090,
"need_tools_kwargs": true,
"question": "Three of the vertices of parallelogram $ABCD$ are $A = (3,-1,2),$ $B = (1,2,-4),$ and $C = (-1,1,2).$ Find the coordinates of $D.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Define $f(x) = x^2 - 45x + 21$. Find the sum of all positive integers $n$ with the following property: there is exactly one integer $i$ in the set $\\{1, 2, \\ldots, n\\}$ such that $n$ divides $f(i)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2592",
"style": "rule"
}
|
{
"index": 1091,
"need_tools_kwargs": true,
"question": "Define $f(x) = x^2 - 45x + 21$. Find the sum of all positive integers $n$ with the following property: there is exactly one integer $i$ in the set $\\{1, 2, \\ldots, n\\}$ such that $n$ divides $f(i)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 check-in counters does the airport that has a subsidiary of Malaysia Airline whose head office is in Petaling Jaya, Selangor as one of the airline",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 1092,
"need_tools_kwargs": true,
"question": "How many check-in counters does the airport that has a subsidiary of Malaysia Airline whose head office is in Petaling Jaya, Selangor as one of the airline",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Max picks two different cards without replacement from a standard 52-card deck. What is the probability that the cards are of different suits?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.7647",
"style": "rule"
}
|
{
"index": 1093,
"need_tools_kwargs": true,
"question": "Max picks two different cards without replacement from a standard 52-card deck. What is the probability that the cards are of different suits?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "(1) If the terminal side of angle $\\theta$ passes through $P(-4t, 3t)$ ($t>0$), find the value of $2\\sin\\theta + \\cos\\theta$. \n(2) Given that a point $P$ on the terminal side of angle $\\alpha$ has coordinates $(x, -\\sqrt{3})$ ($x\\neq 0$), and $\\cos\\alpha = \\frac{\\sqrt{2}}{4}x$, find $\\sin\\alpha$ and $\\tan\\alpha$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{5}",
"style": "rule"
}
|
{
"index": 1094,
"need_tools_kwargs": true,
"question": "(1) If the terminal side of angle $\\theta$ passes through $P(-4t, 3t)$ ($t>0$), find the value of $2\\sin\\theta + \\cos\\theta$. \n(2) Given that a point $P$ on the terminal side of angle $\\alpha$ has coordinates $(x, -\\sqrt{3})$ ($x\\neq 0$), and $\\cos\\alpha = \\frac{\\sqrt{2}}{4}x$, find $\\sin\\alpha$ and $\\tan\\alpha$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Arianrhod RPG is a Japanese fantasy role-playing game released in 2004, at present, Arianrhod RPG is one of the most popular traditional RPG in Japan like as Sword World 2.0, and Alshard, a Japanese role-playing game designed by Jun'ichi Inoue, and which organization?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "FarEast Amusement Research",
"style": "rule"
}
|
{
"index": 1095,
"need_tools_kwargs": true,
"question": "Arianrhod RPG is a Japanese fantasy role-playing game released in 2004, at present, Arianrhod RPG is one of the most popular traditional RPG in Japan like as Sword World 2.0, and Alshard, a Japanese role-playing game designed by Jun'ichi Inoue, and which organization?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Nakayama Miho no Tokimeki High School included music by the composer best known for the games by what company?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Square Enix",
"style": "rule"
}
|
{
"index": 1096,
"need_tools_kwargs": true,
"question": "Nakayama Miho no Tokimeki High School included music by the composer best known for the games by what company?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the equation \\(\\frac{1}{x+y+z}=\\overline{0, xyz}\\) (where \\(x, y,\\) and \\(z\\) are some digits).",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1, 2, 5)",
"style": "rule"
}
|
{
"index": 1097,
"need_tools_kwargs": true,
"question": "Solve the equation \\(\\frac{1}{x+y+z}=\\overline{0, xyz}\\) (where \\(x, y,\\) and \\(z\\) are some digits).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Doba Arab and Sar Mashhad both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 1098,
"need_tools_kwargs": true,
"question": "Are Doba Arab and Sar Mashhad both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $f(x)$ have a domain of $R$, $f(x+1)$ be an odd function, and $f(x+2)$ be an even function. When $x\\in [1,2]$, $f(x)=ax^{2}+b$. If $f(0)+f(3)=6$, then calculate the value of $f\\left(\\frac{9}{2}\\right)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{5}{2}",
"style": "rule"
}
|
{
"index": 1099,
"need_tools_kwargs": true,
"question": "Let $f(x)$ have a domain of $R$, $f(x+1)$ be an odd function, and $f(x+2)$ be an even function. When $x\\in [1,2]$, $f(x)=ax^{2}+b$. If $f(0)+f(3)=6$, then calculate the value of $f\\left(\\frac{9}{2}\\right)$.",
"split": "train"
}
| null |
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