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": "When did the director of film The Expert (1932 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 4, 1968",
"style": "rule"
}
|
{
"index": 9000,
"need_tools_kwargs": true,
"question": "When did the director of film The Expert (1932 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown? [asy]\ndot((0,0));dot((1,0));dot((2,0));dot((3,0));dot((4,0));\ndot((0,1));dot((1,1));dot((2,1));dot((3,1));dot((4,1));\ndot((0,2));dot((1,2));dot((2,2));dot((3,2));dot((4,2));\ndot((0,3));dot((1,3));dot((2,3));dot((3,3));dot((4,3));\ndot((0,4));dot((1,4));dot((2,4));dot((3,4));dot((4,4));\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 9001,
"need_tools_kwargs": true,
"question": "How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown? [asy]\ndot((0,0));dot((1,0));dot((2,0));dot((3,0));dot((4,0));\ndot((0,1));dot((1,1));dot((2,1));dot((3,1));dot((4,1));\ndot((0,2));dot((1,2));dot((2,2));dot((3,2));dot((4,2));\ndot((0,3));dot((1,3));dot((2,3));dot((3,3));dot((4,3));\ndot((0,4));dot((1,4));dot((2,4));dot((3,4));dot((4,4));\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The largest divisor of $2,014,000,000$ is itself. What is its fifth-largest divisor?\n$\\textbf {(A) } 125, 875, 000 \\qquad \\textbf {(B) } 201, 400, 000 \\qquad \\textbf {(C) } 251, 750, 000 \\qquad \\textbf {(D) } 402, 800, 000 \\qquad \\textbf {(E) } 503, 500, 000$",
"role": "user"
}
] |
math
|
{
"ground_truth": "251,750,000",
"style": "rule"
}
|
{
"index": 9002,
"need_tools_kwargs": true,
"question": "The largest divisor of $2,014,000,000$ is itself. What is its fifth-largest divisor?\n$\\textbf {(A) } 125, 875, 000 \\qquad \\textbf {(B) } 201, 400, 000 \\qquad \\textbf {(C) } 251, 750, 000 \\qquad \\textbf {(D) } 402, 800, 000 \\qquad \\textbf {(E) } 503, 500, 000$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 directors of films Mugguru and Yankee Speed share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9003,
"need_tools_kwargs": true,
"question": "Do both directors of films Mugguru and Yankee Speed 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": "Where does Feleipe Franks football team play their home games?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Steve Spurrier-Florida Field",
"style": "rule"
}
|
{
"index": 9004,
"need_tools_kwargs": true,
"question": "Where does Feleipe Franks football team play their home games?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film Barbados Quest born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Manchester",
"style": "rule"
}
|
{
"index": 9005,
"need_tools_kwargs": true,
"question": "Where was the director of film Barbados Quest 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": "Where did the composer of song Do It All Night (Prince Song) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chanhassen, Minnesota",
"style": "rule"
}
|
{
"index": 9006,
"need_tools_kwargs": true,
"question": "Where did the composer of song Do It All Night (Prince Song) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many Latin Grammy Award nominations did the artist, who released \"Latina\" album, receive?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "seven",
"style": "rule"
}
|
{
"index": 9007,
"need_tools_kwargs": true,
"question": "How many Latin Grammy Award nominations did the artist, who released \"Latina\" album, receive?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let the sequence $a_i$ be defined as $a_{i+1} = 2^{a_i}$. Find the number of integers $1 \\le n \\le 1000$ such that if $a_0 = n$, then $100$ divides $a_{1000} - a_1$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "50",
"style": "rule"
}
|
{
"index": 9008,
"need_tools_kwargs": true,
"question": "Let the sequence $a_i$ be defined as $a_{i+1} = 2^{a_i}$. Find the number of integers $1 \\le n \\le 1000$ such that if $a_0 = n$, then $100$ divides $a_{1000} - a_1$.",
"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": "Let $p$, $q$, and $r$ be the $3$ roots of the polynomial $x^3 - x - 2 = 0$. Find $\\frac{1}{p-1} + \\frac{1}{q-1} + \\frac{1}{r-1}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-2",
"style": "rule"
}
|
{
"index": 9009,
"need_tools_kwargs": true,
"question": "Let $p$, $q$, and $r$ be the $3$ roots of the polynomial $x^3 - x - 2 = 0$. Find $\\frac{1}{p-1} + \\frac{1}{q-1} + \\frac{1}{r-1}$.",
"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": "David Campbell is the son of a singer born on which day ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 April 1956",
"style": "rule"
}
|
{
"index": 9010,
"need_tools_kwargs": true,
"question": "David Campbell is the son of a singer born on which 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": "Consider a $4 \\times 4$ grid of squares with 25 grid points. Determine the number of different lines passing through at least 3 of these grid points.",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 9011,
"need_tools_kwargs": true,
"question": "Consider a $4 \\times 4$ grid of squares with 25 grid points. Determine the number of different lines passing through at least 3 of these grid points.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 square with a perimeter of 24 is inscribed in a square with a perimeter of 32. The inner square is positioned such that its vertices touch the midpoints of the sides of the outer square. Calculate the greatest distance between a vertex of the inner square and a vertex of the outer square.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7\\sqrt{2}",
"style": "rule"
}
|
{
"index": 9012,
"need_tools_kwargs": true,
"question": "A square with a perimeter of 24 is inscribed in a square with a perimeter of 32. The inner square is positioned such that its vertices touch the midpoints of the sides of the outer square. Calculate the greatest distance between a vertex of the inner square and a vertex of the outer square.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "During what year did Julie Mehretu first marry Jessica Rankin?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2008",
"style": "rule"
}
|
{
"index": 9013,
"need_tools_kwargs": true,
"question": "During what year did Julie Mehretu first marry Jessica Rankin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Penelope plays a game where she adds $25$ points to her score each time she wins a game and deducts $13$ points from her score each time she loses a game. Starting with a score of zero, Penelope plays $m$ games and has a total score of $2007$ points. What is the smallest possible value for $m$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "97",
"style": "rule"
}
|
{
"index": 9014,
"need_tools_kwargs": true,
"question": "Penelope plays a game where she adds $25$ points to her score each time she wins a game and deducts $13$ points from her score each time she loses a game. Starting with a score of zero, Penelope plays $m$ games and has a total score of $2007$ points. What is the smallest possible value for $m$?",
"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 strengths of the two players are equal, meaning they have equal chances of winning each game. They agreed that the prize would go to the first player to win 6 games. They had to stop the game after the first player won 5 games and the second won 3. In what proportion should the prize be fairly divided?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7:1",
"style": "rule"
}
|
{
"index": 9015,
"need_tools_kwargs": true,
"question": "The strengths of the two players are equal, meaning they have equal chances of winning each game. They agreed that the prize would go to the first player to win 6 games. They had to stop the game after the first player won 5 games and the second won 3. In what proportion should the prize be fairly divided?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 began business with Rs. 45000 and was joined afterwards by B with Rs. 27000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9016,
"need_tools_kwargs": true,
"question": "A began business with Rs. 45000 and was joined afterwards by B with Rs. 27000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?",
"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": "设集合 \\left\\{\\df{3}{a}+b\\ |\\ 1\\leq a\\leq b\\leq 4\\right\\} 中的最大元素与最小元素分别为 M, N，则 M-N的结果可以表示为k-m\\sqrt{n}的形式，请给出k+m+n的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 9017,
"need_tools_kwargs": true,
"question": "设集合 \\left\\{\\df{3}{a}+b\\ |\\ 1\\leq a\\leq b\\leq 4\\right\\} 中的最大元素与最小元素分别为 M, N，则 M-N的结果可以表示为k-m\\sqrt{n}的形式，请给出k+m+n的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the extended Number Wall, numbers are added from adjacent blocks directly below to form the sum in the block above. What number will be in the block labeled '$n$' in this configuration? \n```plaintext\n __n__\n __ __ \n __ __ \n 8 5 3 2\n```",
"role": "user"
}
] |
math
|
{
"ground_truth": "34",
"style": "rule"
}
|
{
"index": 9018,
"need_tools_kwargs": true,
"question": "In the extended Number Wall, numbers are added from adjacent blocks directly below to form the sum in the block above. What number will be in the block labeled '$n$' in this configuration? \n```plaintext\n __n__\n __ __ \n __ __ \n 8 5 3 2\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": "Let $\\triangle ABC$ be a triangle, and let $l$ be the line passing through its incenter and centroid. Assume that $B$ and $C$ lie on the same side of $l$, and that the distance from $B$ to $l$ is twice the distance from $C$ to $l$. Suppose also that the length $BA$ is twice that of $CA$. If $\\triangle ABC$ has integer side lengths and is as small as possible, what is $AB^2+BC^2+CA^2$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "61",
"style": "rule"
}
|
{
"index": 9019,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be a triangle, and let $l$ be the line passing through its incenter and centroid. Assume that $B$ and $C$ lie on the same side of $l$, and that the distance from $B$ to $l$ is twice the distance from $C$ to $l$. Suppose also that the length $BA$ is twice that of $CA$. If $\\triangle ABC$ has integer side lengths and is as small as possible, what is $AB^2+BC^2+CA^2$?",
"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": "A child is building towers using identically shaped cubes of different colors. The child has 3 yellow cubes, 3 purple cubes, and 2 orange cubes, making a total of 8 cubes. If the child wants to build a tower that is 6 cubes high, with 2 cubes left out, how many different arrangements of the cubes can the child create for the tower?",
"role": "user"
}
] |
math
|
{
"ground_truth": "350",
"style": "rule"
}
|
{
"index": 9020,
"need_tools_kwargs": true,
"question": "A child is building towers using identically shaped cubes of different colors. The child has 3 yellow cubes, 3 purple cubes, and 2 orange cubes, making a total of 8 cubes. If the child wants to build a tower that is 6 cubes high, with 2 cubes left out, how many different arrangements of the cubes can the child create for the tower?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 five-digit natural numbers are divisible by 9, where the last digit is greater than the second last digit by 2?",
"role": "user"
}
] |
math
|
{
"ground_truth": "800",
"style": "rule"
}
|
{
"index": 9021,
"need_tools_kwargs": true,
"question": "How many five-digit natural numbers are divisible by 9, where the last digit is greater than the second last digit by 2?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $w$ be a complex number such that $|w - 3 + i| = 3.$ Find the minimum value of\n\\[\n|w + 1 - i|^2 + |w - 7 + 2i|^2.\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "38",
"style": "rule"
}
|
{
"index": 9022,
"need_tools_kwargs": true,
"question": "Let $w$ be a complex number such that $|w - 3 + i| = 3.$ Find the minimum value of\n\\[\n|w + 1 - i|^2 + |w - 7 + 2i|^2.\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": "From point $P$ outside a circle, with a circumference of $10$ units, a tangent is drawn. \nAlso from $P$ a secant is drawn dividing the circle into unequal arcs with lengths $m$ and $n$. \nIt is found that $t_1$, the length of the tangent, is the mean proportional between $m$ and $n$. \nIf $m$ and $t$ are integers, then $t$ may have the following number of values:\n$\\textbf{(A)}\\ \\text{zero}\\qquad \\textbf{(B)}\\ \\text{one}\\qquad \\textbf{(C)}\\ \\text{two}\\qquad \\textbf{(D)}\\ \\text{three}\\qquad \\textbf{(E)}\\ \\text{infinitely many}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9023,
"need_tools_kwargs": true,
"question": "From point $P$ outside a circle, with a circumference of $10$ units, a tangent is drawn. \nAlso from $P$ a secant is drawn dividing the circle into unequal arcs with lengths $m$ and $n$. \nIt is found that $t_1$, the length of the tangent, is the mean proportional between $m$ and $n$. \nIf $m$ and $t$ are integers, then $t$ may have the following number of values:\n$\\textbf{(A)}\\ \\text{zero}\\qquad \\textbf{(B)}\\ \\text{one}\\qquad \\textbf{(C)}\\ \\text{two}\\qquad \\textbf{(D)}\\ \\text{three}\\qquad \\textbf{(E)}\\ \\text{infinitely many}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 plant has more species in their genus, Cuminum or Calathea?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "There are several dozen species in this genus.",
"style": "rule"
}
|
{
"index": 9024,
"need_tools_kwargs": true,
"question": "Which plant has more species in their genus, Cuminum or Calathea?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Recall that a perfect square is the square of some integer. How many perfect squares less than 20,000 can be represented as the difference of two consecutive perfect squares?",
"role": "user"
}
] |
math
|
{
"ground_truth": "69",
"style": "rule"
}
|
{
"index": 9025,
"need_tools_kwargs": true,
"question": "Recall that a perfect square is the square of some integer. How many perfect squares less than 20,000 can be represented as the difference of two consecutive perfect squares?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 friendly football match lasts 90 minutes. In this problem, we consider one of the teams, coached by Sir Alex, which plays with 11 players at all times. \n Sir Alex wants for each of his players to play the same integer number of minutes, but each player has to play less than 60 minutes in total. What is the minimum number of players required?",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 9026,
"need_tools_kwargs": true,
"question": "A friendly football match lasts 90 minutes. In this problem, we consider one of the teams, coached by Sir Alex, which plays with 11 players at all times. \n Sir Alex wants for each of his players to play the same integer number of minutes, but each player has to play less than 60 minutes in total. What is the minimum number of players required?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A powder tin has a square base with side 8 cm and a certain height. Another tin has a circular base with diameter 8 cm and the same height as the square base tin. The difference in their capacities is 192.28324559588634 cm³. What is the height of the tins?",
"role": "user"
}
] |
math
|
{
"ground_truth": "14.005",
"style": "rule"
}
|
{
"index": 9027,
"need_tools_kwargs": true,
"question": "A powder tin has a square base with side 8 cm and a certain height. Another tin has a circular base with diameter 8 cm and the same height as the square base tin. The difference in their capacities is 192.28324559588634 cm³. What is the height of the tins?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 5 students into 3 groups: Group A, Group B, and Group C, with the condition that Group A must have at least two people, and Groups B and C must have at least one person each. How many different distribution schemes exist?",
"role": "user"
}
] |
math
|
{
"ground_truth": "80",
"style": "rule"
}
|
{
"index": 9028,
"need_tools_kwargs": true,
"question": "Distribute 5 students into 3 groups: Group A, Group B, and Group C, with the condition that Group A must have at least two people, and Groups B and C must have at least one person each. How many different distribution schemes exist?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a convex polygon \\(ABCD\\) with sides \\(AB = 6\\), \\(BC = 8\\), \\(CD = 5\\), and \\(DA = 10\\), where \\(\\angle CBA\\) is a right angle, and the tangent of angle \\(\\angle ACD\\) is \\(\\frac{4}{3}\\), calculate the area of quadrilateral \\(ABCD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{122}{3}",
"style": "rule"
}
|
{
"index": 9029,
"need_tools_kwargs": true,
"question": "Given a convex polygon \\(ABCD\\) with sides \\(AB = 6\\), \\(BC = 8\\), \\(CD = 5\\), and \\(DA = 10\\), where \\(\\angle CBA\\) is a right angle, and the tangent of angle \\(\\angle ACD\\) is \\(\\frac{4}{3}\\), calculate the area of quadrilateral \\(ABCD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "有八个盒子，每个盒子中有 6 个球，每个球均被染成 n 种颜色中的一种. 已知同一个盒子中的球均不同色，且任意两个盒子中的球至多有一种相同颜色，求 n 的最小可能值.",
"role": "user"
}
] |
math
|
{
"ground_truth": "23",
"style": "rule"
}
|
{
"index": 9030,
"need_tools_kwargs": true,
"question": "有八个盒子，每个盒子中有 6 个球，每个球均被染成 n 种颜色中的一种. 已知同一个盒子中的球均不同色，且任意两个盒子中的球至多有一种相同颜色，求 n 的最小可能值.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given vectors $\\overrightarrow{a} = (\\cos \\alpha, \\sin \\alpha)$ and $\\overrightarrow{b} = (\\cos \\beta, \\sin \\beta)$, with $|\\overrightarrow{a} - \\overrightarrow{b}| = \\frac{2\\sqrt{5}}{5}$.\n\n(Ⅰ) Find the value of $\\cos (\\alpha - \\beta)$;\n\n(Ⅱ) If $0 < \\alpha < \\frac{\\pi}{2}$ and $-\\frac{\\pi}{2} < \\beta < 0$, and $\\sin \\beta = -\\frac{5}{13}$, find the value of $\\sin \\alpha$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{33}{65}",
"style": "rule"
}
|
{
"index": 9031,
"need_tools_kwargs": true,
"question": "Given vectors $\\overrightarrow{a} = (\\cos \\alpha, \\sin \\alpha)$ and $\\overrightarrow{b} = (\\cos \\beta, \\sin \\beta)$, with $|\\overrightarrow{a} - \\overrightarrow{b}| = \\frac{2\\sqrt{5}}{5}$.\n\n(Ⅰ) Find the value of $\\cos (\\alpha - \\beta)$;\n\n(Ⅱ) If $0 < \\alpha < \\frac{\\pi}{2}$ and $-\\frac{\\pi}{2} < \\beta < 0$, and $\\sin \\beta = -\\frac{5}{13}$, find the value of $\\sin \\alpha$.",
"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": "Take All My Loves: 9 Shakespeare Sonnets is a studio album by Rufus Wainwright, features a guest appearance, by which Canadian-American folk-rock singer?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Martha Wainwright",
"style": "rule"
}
|
{
"index": 9032,
"need_tools_kwargs": true,
"question": "Take All My Loves: 9 Shakespeare Sonnets is a studio album by Rufus Wainwright, features a guest appearance, by which Canadian-American folk-rock singer?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 which year did the club, that Andrea Palazzi joined as a 10 year old, debut in the top tier of Italian football ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1909",
"style": "rule"
}
|
{
"index": 9033,
"need_tools_kwargs": true,
"question": "In which year did the club, that Andrea Palazzi joined as a 10 year old, debut in the top tier of Italian football ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 resident of Howard County, Maryland appeared alongside 187 Fac in America is Dying Slowly?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Biz Markie",
"style": "rule"
}
|
{
"index": 9034,
"need_tools_kwargs": true,
"question": "What resident of Howard County, Maryland appeared alongside 187 Fac in America is Dying Slowly?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where are the singers of \"You Make My Dreams\" from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Philadelphia",
"style": "rule"
}
|
{
"index": 9035,
"need_tools_kwargs": true,
"question": "Where are the singers of \"You Make My Dreams\" from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the composer of film Singaravelan 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2 June 1943",
"style": "rule"
}
|
{
"index": 9036,
"need_tools_kwargs": true,
"question": "When is the composer of film Singaravelan 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Three-Cornered Moon?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 9, 1980",
"style": "rule"
}
|
{
"index": 9037,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Three-Cornered Moon?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Prior to guest voicing on \"The Itchy & Scratchty & Poochie Show\", Alex Rocco guest voiced in \"The Day the Violence Died\" and which other \"The Simpsons\" episode?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Itchy & Scratchy & Marge\"",
"style": "rule"
}
|
{
"index": 9038,
"need_tools_kwargs": true,
"question": "Prior to guest voicing on \"The Itchy & Scratchty & Poochie Show\", Alex Rocco guest voiced in \"The Day the Violence Died\" and which other \"The Simpsons\" episode?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 quadratic polynomials of the form \\(a x^{2} + b x + c\\) such that when the values \\(a, b, c\\) are substituted for \\(x\\), the results are \\(a, b, c\\) respectively.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x^2 +x -1 \\quad x - 2",
"style": "rule"
}
|
{
"index": 9039,
"need_tools_kwargs": true,
"question": "Find all quadratic polynomials of the form \\(a x^{2} + b x + c\\) such that when the values \\(a, b, c\\) are substituted for \\(x\\), the results are \\(a, b, c\\) respectively.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 player number of the New York Islander's player who was named to the '100 Greatest NHL Players'?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 9040,
"need_tools_kwargs": true,
"question": "What was the player number of the New York Islander's player who was named to the '100 Greatest NHL Players'?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rank was the lead single from the album \"Women in Technology\" in the United States?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23",
"style": "rule"
}
|
{
"index": 9041,
"need_tools_kwargs": true,
"question": "What rank was the lead single from the album \"Women in Technology\" in the United States?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Kimmie received $450 from her handmade crafts at the supermarket. Her friend Zahra received 1/3 less money when she sold the same amount of handmade crafts at Etsy. If both of them save half of their earnings on the same savings account, calculate the total amount of money in the joint savings account?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$375",
"style": "rule"
}
|
{
"index": 9042,
"need_tools_kwargs": true,
"question": "Kimmie received $450 from her handmade crafts at the supermarket. Her friend Zahra received 1/3 less money when she sold the same amount of handmade crafts at Etsy. If both of them save half of their earnings on the same savings account, calculate the total amount of money in the joint savings account?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 person Metrocles studied under presided over the Peripatetic school for how many years?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "thirty-six",
"style": "rule"
}
|
{
"index": 9043,
"need_tools_kwargs": true,
"question": "The person Metrocles studied under presided over the Peripatetic school for how many years?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A square in the coordinate plane has vertices with $y$-coordinates $2$, $3$, $7$, and $8$. Calculate the area of this square.",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 9044,
"need_tools_kwargs": true,
"question": "A square in the coordinate plane has vertices with $y$-coordinates $2$, $3$, $7$, and $8$. Calculate the area of this square.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( S \\) be the locus of all points \\( (x, y) \\) in the first quadrant such that \\(\\frac{x}{t}+\\frac{y}{1-t}=1\\) for some \\( t \\) with \\( 0 < t < 1 \\). Find the area of \\( S \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{6}",
"style": "rule"
}
|
{
"index": 9045,
"need_tools_kwargs": true,
"question": "Let \\( S \\) be the locus of all points \\( (x, y) \\) in the first quadrant such that \\(\\frac{x}{t}+\\frac{y}{1-t}=1\\) for some \\( t \\) with \\( 0 < t < 1 \\). Find the area of \\( S \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What criminal associate of Alphonse Gangitano was also a member of the Moran family?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jason Moran",
"style": "rule"
}
|
{
"index": 9046,
"need_tools_kwargs": true,
"question": "What criminal associate of Alphonse Gangitano was also a member of the Moran family?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 railings of the Brooklyn Bridge, designed by Adrian Janes, is considered what type of bridge?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "a hybrid cable-stayed/suspension bridge",
"style": "rule"
}
|
{
"index": 9047,
"need_tools_kwargs": true,
"question": "The railings of the Brooklyn Bridge, designed by Adrian Janes, is considered what type of bridge?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film A Dream Of Happiness is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Austrian",
"style": "rule"
}
|
{
"index": 9048,
"need_tools_kwargs": true,
"question": "Which country the director of film A Dream Of Happiness is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The circle inscribed in a right trapezoid divides its larger lateral side into segments of lengths 1 and 4. Find the area of the trapezoid.",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 9049,
"need_tools_kwargs": true,
"question": "The circle inscribed in a right trapezoid divides its larger lateral side into segments of lengths 1 and 4. Find the area of the trapezoid.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 used the imprint of Badger Books to publish books in a number of genres, including the genre that must have an emotionally satisfying and optimistic ending?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John Spencer & Co.",
"style": "rule"
}
|
{
"index": 9050,
"need_tools_kwargs": true,
"question": "Who used the imprint of Badger Books to publish books in a number of genres, including the genre that must have an emotionally satisfying and optimistic ending?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $X,$ $Y,$ and $Z$ be points such that $\\frac{XZ}{XY} = \\frac{2}{3}$ and $\\frac{ZY}{XY} = \\frac{1}{3}.$ If $Y = (1, 9)$ and $Z = (-1, 3)$, what is the sum of the coordinates of $X$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "34",
"style": "rule"
}
|
{
"index": 9051,
"need_tools_kwargs": true,
"question": "Let $X,$ $Y,$ and $Z$ be points such that $\\frac{XZ}{XY} = \\frac{2}{3}$ and $\\frac{ZY}{XY} = \\frac{1}{3}.$ If $Y = (1, 9)$ and $Z = (-1, 3)$, what is the sum of the coordinates of $X$?",
"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 film has the director born later, The Castle In The South or Kissinger And Nixon?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kissinger And Nixon",
"style": "rule"
}
|
{
"index": 9052,
"need_tools_kwargs": true,
"question": "Which film has the director born later, The Castle In The South or Kissinger And Nixon?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did Edmund Of Langley, 1St Duke Of York's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "edema",
"style": "rule"
}
|
{
"index": 9053,
"need_tools_kwargs": true,
"question": "Why did Edmund Of Langley, 1St Duke Of York's mother 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": "Define $\\mathbf{A} = \\begin{pmatrix} 0 & 1 \\\\ 3 & 0 \\end{pmatrix}.$ Find the vector $\\mathbf{v}$ such that\n\\[(\\mathbf{A}^8 + \\mathbf{A}^6 + \\mathbf{A}^4 + \\mathbf{A}^2 + \\mathbf{I}) \\mathbf{v} = \\begin{pmatrix} 0 \\\\ 11 \\end{pmatrix}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\begin{pmatrix} 0 \\\\ 1/11 \\end{pmatrix}",
"style": "rule"
}
|
{
"index": 9054,
"need_tools_kwargs": true,
"question": "Define $\\mathbf{A} = \\begin{pmatrix} 0 & 1 \\\\ 3 & 0 \\end{pmatrix}.$ Find the vector $\\mathbf{v}$ such that\n\\[(\\mathbf{A}^8 + \\mathbf{A}^6 + \\mathbf{A}^4 + \\mathbf{A}^2 + \\mathbf{I}) \\mathbf{v} = \\begin{pmatrix} 0 \\\\ 11 \\end{pmatrix}.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\vartriangle ABC$ be a triangle with $\\angle BAC = 90^o$, $\\angle ABC = 60^o$, and $\\angle BCA = 30^o$ and $BC = 4$. Let the incircle of $\\vartriangle ABC$ meet sides $BC$, $CA$, $AB$ at points $A_0$, $B_0$, $C_0$, respectively. Let $\\omega_A$, $\\omega_B$, $\\omega_C$ denote the circumcircles of triangles $\\vartriangle B_0IC_0$ , $\\vartriangle C_0IA_0$ , $\\vartriangle A_0IB_0$, respectively. We construct triangle $T_A$ as follows: let $A_0B_0$ meet $\\omega_B$ for the second time at $A_1\\ne A_0$, let $A_0C_0$ meet $\\omega_C$ for the second time at $A_2\\ne A_0$, and let $T_A$ denote the triangle $\\vartriangle A_0A_1A_2$. Construct triangles $T_B$, $T_C$ similarly. If the sum of the areas of triangles $T_A$, $T_B$, $T_C$ equals $\\sqrt{m} - n$ for positive integers $m$, $n$, find $m + n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 9055,
"need_tools_kwargs": true,
"question": "Let $\\vartriangle ABC$ be a triangle with $\\angle BAC = 90^o$, $\\angle ABC = 60^o$, and $\\angle BCA = 30^o$ and $BC = 4$. Let the incircle of $\\vartriangle ABC$ meet sides $BC$, $CA$, $AB$ at points $A_0$, $B_0$, $C_0$, respectively. Let $\\omega_A$, $\\omega_B$, $\\omega_C$ denote the circumcircles of triangles $\\vartriangle B_0IC_0$ , $\\vartriangle C_0IA_0$ , $\\vartriangle A_0IB_0$, respectively. We construct triangle $T_A$ as follows: let $A_0B_0$ meet $\\omega_B$ for the second time at $A_1\\ne A_0$, let $A_0C_0$ meet $\\omega_C$ for the second time at $A_2\\ne A_0$, and let $T_A$ denote the triangle $\\vartriangle A_0A_1A_2$. Construct triangles $T_B$, $T_C$ similarly. If the sum of the areas of triangles $T_A$, $T_B$, $T_C$ equals $\\sqrt{m} - n$ for positive integers $m$, $n$, 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": "The indeterminate equation \\( 96x_{1} + 97x_{2} = 1000 \\) has how many sets of non-negative integer solutions?\nA. 0 \nB. 1 \nC. 2 \nD. 3",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 9056,
"need_tools_kwargs": true,
"question": "The indeterminate equation \\( 96x_{1} + 97x_{2} = 1000 \\) has how many sets of non-negative integer solutions?\nA. 0 \nB. 1 \nC. 2 \nD. 3",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sequence $\\{a_n\\}$ satisfies $a_{n+1} + (-1)^n a_n = 2n - 1$. Find the sum of the first 60 terms of $\\{a_n\\}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1830",
"style": "rule"
}
|
{
"index": 9057,
"need_tools_kwargs": true,
"question": "The sequence $\\{a_n\\}$ satisfies $a_{n+1} + (-1)^n a_n = 2n - 1$. Find the sum of the first 60 terms of $\\{a_n\\}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Alec wishes to construct a string of 6 letters using the letters A, C, G, and N, such that:\n- The first three letters are pairwise distinct, and so are the last three letters;\n- The first, second, fourth, and fifth letters are pairwise distinct.\nIn how many ways can he construct the string?",
"role": "user"
}
] |
math
|
{
"ground_truth": "96",
"style": "rule"
}
|
{
"index": 9058,
"need_tools_kwargs": true,
"question": "Alec wishes to construct a string of 6 letters using the letters A, C, G, and N, such that:\n- The first three letters are pairwise distinct, and so are the last three letters;\n- The first, second, fourth, and fifth letters are pairwise distinct.\nIn how many ways can he construct the string?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute the triple integral:\n\na) \\(\\iiint_{\\Omega}(2 x + 3 y + z) \\, dx \\, dy \\, dz\\), where \\(\\Omega = \\{(x, y, z) : x \\geq 0, y \\geq 0, 0 \\leq z \\leq 3, x + y \\leq 3\\}\\)\n\nb) \\(\\iiint_{\\Omega}(1 - x)^3 \\sqrt{1 - y^2} \\, dx \\, dy \\, dz\\), where \\(\\Omega = \\{(x, y, z) : \\| x | \\leq 1, \\| y | \\leq 1, \\| z | \\leq 3\\}\\)\n\nc) \\(\\iiint_{\\Omega} \\frac{x y}{\\sqrt{z}} \\, dx \\, dy \\, dz\\), where \\(\\Omega = \\left\\{(x, y, z) : z^2 \\leq x^2 + y^2, x \\geq 0, y \\geq 0, 0 \\leq z \\leq 1\\right\\}\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{9}",
"style": "rule"
}
|
{
"index": 9059,
"need_tools_kwargs": true,
"question": "Compute the triple integral:\n\na) \\(\\iiint_{\\Omega}(2 x + 3 y + z) \\, dx \\, dy \\, dz\\), where \\(\\Omega = \\{(x, y, z) : x \\geq 0, y \\geq 0, 0 \\leq z \\leq 3, x + y \\leq 3\\}\\)\n\nb) \\(\\iiint_{\\Omega}(1 - x)^3 \\sqrt{1 - y^2} \\, dx \\, dy \\, dz\\), where \\(\\Omega = \\{(x, y, z) : \\| x | \\leq 1, \\| y | \\leq 1, \\| z | \\leq 3\\}\\)\n\nc) \\(\\iiint_{\\Omega} \\frac{x y}{\\sqrt{z}} \\, dx \\, dy \\, dz\\), where \\(\\Omega = \\left\\{(x, y, z) : z^2 \\leq x^2 + y^2, x \\geq 0, y \\geq 0, 0 \\leq z \\leq 1\\right\\}\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Kathozar and Hasanabad-E Tall Kamin both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 9060,
"need_tools_kwargs": true,
"question": "Are Kathozar and Hasanabad-E Tall Kamin both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the title of the episode of *River Monsters* in which Jeremy Wade caught a Japanese giant salamander by hand?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Cold Blooded Horror\"",
"style": "rule"
}
|
{
"index": 9061,
"need_tools_kwargs": true,
"question": "What was the title of the episode of *River Monsters* in which Jeremy Wade caught a Japanese giant salamander by hand?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the performer of song All Bad 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "March 1, 1994",
"style": "rule"
}
|
{
"index": 9062,
"need_tools_kwargs": true,
"question": "When is the performer of song All Bad 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a unit square \\(ABCD\\) with vertices \\(A\\) at \\((0,0)\\), \\(B\\) at \\((1,0)\\), \\(C\\) at \\((1,1)\\), and \\(D\\) at \\((0,1)\\). A circle \\(\\omega\\) passes through the vertices \\(A\\) and \\(B\\) of the square and intersects the sides \\(AD\\) and \\(AC\\) at points \\(K\\) and \\(M\\), respectively. Determine the length of the projection of the line segment \\(KM\\) onto the diagonal \\(AC\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 9063,
"need_tools_kwargs": true,
"question": "Consider a unit square \\(ABCD\\) with vertices \\(A\\) at \\((0,0)\\), \\(B\\) at \\((1,0)\\), \\(C\\) at \\((1,1)\\), and \\(D\\) at \\((0,1)\\). A circle \\(\\omega\\) passes through the vertices \\(A\\) and \\(B\\) of the square and intersects the sides \\(AD\\) and \\(AC\\) at points \\(K\\) and \\(M\\), respectively. Determine the length of the projection of the line segment \\(KM\\) onto the diagonal \\(AC\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 geometric arrangement consists of a square and four circles, each with a radius of 7 inches. The circles are positioned inside the square, one in each corner, such that the diameter of each circle reaches from one side of its corner to the other side of the same corner. What is the area, in square inches, of this square?",
"role": "user"
}
] |
math
|
{
"ground_truth": "196",
"style": "rule"
}
|
{
"index": 9064,
"need_tools_kwargs": true,
"question": "A geometric arrangement consists of a square and four circles, each with a radius of 7 inches. The circles are positioned inside the square, one in each corner, such that the diameter of each circle reaches from one side of its corner to the other side of the same corner. What is the area, in square inches, of this square?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $P_n$ be the number of permutations $\\pi$ of $\\{1,2,\\ldots,n\\}$\nsuch that\n$|i-j|=1$ implies $|\\pi(i)-\\pi(j)|\\leq2$\nfor all $i,j$ in $\\{1,2,\\ldots,n\\}.$ Show that for $n\\geq2$,the quantity\n$$P_{n+5}-P_{n+4}-P_{n+3}+P_n$$\ndoes not depend on $n$, and find its value.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 9065,
"need_tools_kwargs": true,
"question": "Let $P_n$ be the number of permutations $\\pi$ of $\\{1,2,\\ldots,n\\}$\nsuch that\n$|i-j|=1$ implies $|\\pi(i)-\\pi(j)|\\leq2$\nfor all $i,j$ in $\\{1,2,\\ldots,n\\}.$ Show that for $n\\geq2$,the quantity\n$$P_{n+5}-P_{n+4}-P_{n+3}+P_n$$\ndoes not depend on $n$, and find its value.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The average (arithmetic mean) of 3 integers a, b, and c is some fraction of the median. If a < b < c and a = 0, the value of c / b is 1.5. What is the ratio of the average to the median?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5/6",
"style": "rule"
}
|
{
"index": 9066,
"need_tools_kwargs": true,
"question": "The average (arithmetic mean) of 3 integers a, b, and c is some fraction of the median. If a < b < c and a = 0, the value of c / b is 1.5. What is the ratio of the average to the median?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知在三棱锥 D-ABC 中，\\angle ACB=\\angle ABD=90^\\circ，CA=CB，\\angle BAD=30^\\circ. 若点 C 在平面 ABD 上的射影恰好在 AD 上，则二面角 C-AB-D 的平面角的正弦值为\\frac{k\\sqrt{n}}{m}的形式，请给出k+m+n的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 9067,
"need_tools_kwargs": true,
"question": "已知在三棱锥 D-ABC 中，\\angle ACB=\\angle ABD=90^\\circ，CA=CB，\\angle BAD=30^\\circ. 若点 C 在平面 ABD 上的射影恰好在 AD 上，则二面角 C-AB-D 的平面角的正弦值为\\frac{k\\sqrt{n}}{m}的形式，请给出k+m+n的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In addition to Paul Centopani, who was the second member of the Young Stallions?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jim Powers",
"style": "rule"
}
|
{
"index": 9068,
"need_tools_kwargs": true,
"question": "In addition to Paul Centopani, who was the second member of the Young Stallions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Squadron Of Honor?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 25, 1972",
"style": "rule"
}
|
{
"index": 9069,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Squadron Of Honor?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which of the rapper born on June 19, 1983 has Hollis on his track? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Macklemore",
"style": "rule"
}
|
{
"index": 9070,
"need_tools_kwargs": true,
"question": "Which of the rapper born on June 19, 1983 has Hollis on his track? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What team that represents the Georgia Institute of Technology played in first Champs Sports bowl?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2004 Georgia Tech Yellow Jackets football team",
"style": "rule"
}
|
{
"index": 9071,
"need_tools_kwargs": true,
"question": "What team that represents the Georgia Institute of Technology played in first Champs Sports bowl?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 product of the nonreal roots of $x^4-4x^3+6x^2-4x=2005.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1 +\\sqrt{2006}",
"style": "rule"
}
|
{
"index": 9072,
"need_tools_kwargs": true,
"question": "Find the product of the nonreal roots of $x^4-4x^3+6x^2-4x=2005.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Using the digits 1 to 6 to form the equation below, where different letters represent different digits, determine the two-digit number represented by \\( \\overline{A B} \\) in the equation:\n$$\n\\overline{A B} \\times (\\overline{C D} - E) + F = 2021\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 9073,
"need_tools_kwargs": true,
"question": "Using the digits 1 to 6 to form the equation below, where different letters represent different digits, determine the two-digit number represented by \\( \\overline{A B} \\) in the equation:\n$$\n\\overline{A B} \\times (\\overline{C D} - E) + F = 2021\n$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The company headed by Masayoshi Son worked with the development of what robot?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nao",
"style": "rule"
}
|
{
"index": 9074,
"need_tools_kwargs": true,
"question": "The company headed by Masayoshi Son worked with the development of what robot?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( x \\) and \\( y \\) be real numbers satisfying the equation \\( (x - \\sqrt{p})^2 + (y - \\sqrt{p})^2 = 1 \\). If \\( k = \\frac{y}{x - 3} \\) and \\( q \\) is the least possible value of \\( k^2 \\), find the value of \\( q \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 9075,
"need_tools_kwargs": true,
"question": "Let \\( x \\) and \\( y \\) be real numbers satisfying the equation \\( (x - \\sqrt{p})^2 + (y - \\sqrt{p})^2 = 1 \\). If \\( k = \\frac{y}{x - 3} \\) and \\( q \\) is the least possible value of \\( k^2 \\), find the value of \\( q \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=x^{3}-3a^{2}x+1$, find the range of real number $a$ such that the graph of the function intersects the line $y=3$ at only one point.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-1,1)",
"style": "rule"
}
|
{
"index": 9076,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=x^{3}-3a^{2}x+1$, find the range of real number $a$ such that the graph of the function intersects the line $y=3$ at only one point.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a trapezoid with an area of \\( 594 \\, \\text{m}^2 \\), a height of 22 m, and a difference of 6 m between the parallel sides, find the lengths of each of the parallel sides.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3024",
"style": "rule"
}
|
{
"index": 9077,
"need_tools_kwargs": true,
"question": "In a trapezoid with an area of \\( 594 \\, \\text{m}^2 \\), a height of 22 m, and a difference of 6 m between the parallel sides, find the lengths of each of the parallel 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": "Are the producers of both films Mujhe Kucch Kehna Hai and Runway (2010 Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9078,
"need_tools_kwargs": true,
"question": "Are the producers of both films Mujhe Kucch Kehna Hai and Runway (2010 Film) from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Four vertices of a cube are given as \\(A=(1, 2, 3)\\), \\(B=(1, 8, 3)\\), \\(C=(5, 2, 3)\\), and \\(D=(5, 8, 3)\\). Calculate the surface area of the cube.",
"role": "user"
}
] |
math
|
{
"ground_truth": "96",
"style": "rule"
}
|
{
"index": 9079,
"need_tools_kwargs": true,
"question": "Four vertices of a cube are given as \\(A=(1, 2, 3)\\), \\(B=(1, 8, 3)\\), \\(C=(5, 2, 3)\\), and \\(D=(5, 8, 3)\\). Calculate the surface area of the cube.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 theorem states that given any five points in the plane, with no three on the same line, there is a unique conic section (ellipse, hyperbola, or parabola) which passes through all five points. The conic section passing through the five points \\[(-\\tfrac32, 1), \\; (0,0), \\;(0,2),\\; (3,0),\\; (4,2)\\] is an ellipse. Find the length of its minor axis.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{5}",
"style": "rule"
}
|
{
"index": 9080,
"need_tools_kwargs": true,
"question": "A theorem states that given any five points in the plane, with no three on the same line, there is a unique conic section (ellipse, hyperbola, or parabola) which passes through all five points. The conic section passing through the five points \\[(-\\tfrac32, 1), \\; (0,0), \\;(0,2),\\; (3,0),\\; (4,2)\\] is an ellipse. Find the length of its minor axis.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 singer of \"So What\", born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 25, 1985",
"style": "rule"
}
|
{
"index": 9081,
"need_tools_kwargs": true,
"question": "When was the singer of \"So What\", born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The function $f(x)$ defined on $\\mathbb{R}$ satisfies:\n$$\nf(x) = \n\\begin{cases}\n\\log_{2}(1-x), & \\text{if } x \\leq 0 \\\\\n-f(x+3), & \\text{if } x > 0\n\\end{cases}\n$$\nFind the value of $f(2009)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9082,
"need_tools_kwargs": true,
"question": "The function $f(x)$ defined on $\\mathbb{R}$ satisfies:\n$$\nf(x) = \n\\begin{cases}\n\\log_{2}(1-x), & \\text{if } x \\leq 0 \\\\\n-f(x+3), & \\text{if } x > 0\n\\end{cases}\n$$\nFind the value of $f(2009)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the composer of film Sparkle (1976 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 26, 1999",
"style": "rule"
}
|
{
"index": 9083,
"need_tools_kwargs": true,
"question": "When did the composer of film Sparkle (1976 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the older brother of the leader who asked Juan Romero de Figueroa to remain at his parish?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Joseph I",
"style": "rule"
}
|
{
"index": 9084,
"need_tools_kwargs": true,
"question": "Who was the older brother of the leader who asked Juan Romero de Figueroa to remain at his parish?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $S$ be the sum of all positive integers $n$ such that \\( \\frac{3}{5} \\) of the positive divisors of \\( n \\) are multiples of \\( 6 \\) and \\( n \\) has no prime divisors greater than \\( 3 \\). Compute \\( \\frac{S}{36} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2345",
"style": "rule"
}
|
{
"index": 9085,
"need_tools_kwargs": true,
"question": "Let $S$ be the sum of all positive integers $n$ such that \\( \\frac{3}{5} \\) of the positive divisors of \\( n \\) are multiples of \\( 6 \\) and \\( n \\) has no prime divisors greater than \\( 3 \\). Compute \\( \\frac{S}{36} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Simplify the expression $\\frac{a^{4} - a^{2} b^{2}}{(a - b)^{2}} \\div \\frac{a(a + b)}{b^{2}} \\cdot \\frac{b^{2}}{a}$ and choose the correct result from the options:\n(A) $\\frac{a^{2}}{a - b}$.\n(B) $\\frac{a^{2}}{a + b}$.\n(C) $\\frac{b^{4}}{a - b}$.\n(D) $\\frac{b^{4}}{a + b}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{b^4}{a-b}",
"style": "rule"
}
|
{
"index": 9086,
"need_tools_kwargs": true,
"question": "Simplify the expression $\\frac{a^{4} - a^{2} b^{2}}{(a - b)^{2}} \\div \\frac{a(a + b)}{b^{2}} \\cdot \\frac{b^{2}}{a}$ and choose the correct result from the options:\n(A) $\\frac{a^{2}}{a - b}$.\n(B) $\\frac{a^{2}}{a + b}$.\n(C) $\\frac{b^{4}}{a - b}$.\n(D) $\\frac{b^{4}}{a + b}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who was born later, Aka (Film) or Furry Vengeance?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Furry Vengeance",
"style": "rule"
}
|
{
"index": 9087,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Aka (Film) or Furry Vengeance?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Berlin Is In Germany and Gorgo (Film) have the directors that share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9088,
"need_tools_kwargs": true,
"question": "Do both films Berlin Is In Germany and Gorgo (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": " Thlocklo Tustenuggee as reported in newspapers, as were the deaths of other prominent Native American leaders who died in connection with a series of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "forced removals of Native American nations",
"style": "rule"
}
|
{
"index": 9089,
"need_tools_kwargs": true,
"question": " Thlocklo Tustenuggee as reported in newspapers, as were the deaths of other prominent Native American leaders who died in connection with a series of what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Among the natural numbers 1, 2, 3, …, 2007, there are several natural numbers that can be divided by both 2 and 3 but cannot be divided by 5.",
"role": "user"
}
] |
math
|
{
"ground_truth": "268",
"style": "rule"
}
|
{
"index": 9090,
"need_tools_kwargs": true,
"question": "Among the natural numbers 1, 2, 3, …, 2007, there are several natural numbers that can be divided by both 2 and 3 but cannot be divided by 5.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Tarzan And The Lost Safari?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 11, 1984",
"style": "rule"
}
|
{
"index": 9091,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Tarzan And The Lost Safari?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rugby game featured James Harris in 2012 and 2013?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Varsity Match",
"style": "rule"
}
|
{
"index": 9092,
"need_tools_kwargs": true,
"question": "What rugby game featured James Harris in 2012 and 2013?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 newer title of the game published by Sega that also describes the job title of Dave Rogers?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Football Manager",
"style": "rule"
}
|
{
"index": 9093,
"need_tools_kwargs": true,
"question": "What is the newer title of the game published by Sega that also describes the job title of Dave Rogers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 solid box measures 20 cm by 15 cm by 10 cm. A new solid is formed by removing a cube 4 cm on a side from each of four corners on one face and each of two corners on the opposite face. What percentage of the original volume is removed?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12.8\\%",
"style": "rule"
}
|
{
"index": 9094,
"need_tools_kwargs": true,
"question": "A solid box measures 20 cm by 15 cm by 10 cm. A new solid is formed by removing a cube 4 cm on a side from each of four corners on one face and each of two corners on the opposite face. What percentage of the original volume is removed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Layla Bint Abi Murrah Al-Thaqafi's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Medina",
"style": "rule"
}
|
{
"index": 9095,
"need_tools_kwargs": true,
"question": "What is the place of birth of Layla Bint Abi Murrah Al-Thaqafi'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": "\nOne vertex of an equilateral triangle lies on a circle, and the other two vertices divide a certain chord into three equal parts.\n\nAt what angle is the chord seen from the center of the circle?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2\\pi}{3}",
"style": "rule"
}
|
{
"index": 9096,
"need_tools_kwargs": true,
"question": "\nOne vertex of an equilateral triangle lies on a circle, and the other two vertices divide a certain chord into three equal parts.\n\nAt what angle is the chord seen from the center of the circle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 nickname of this author of the collection of 56 Marathi language songs chronologically describing events from the Indian Hindu epic?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ādhunik Valmiki",
"style": "rule"
}
|
{
"index": 9097,
"need_tools_kwargs": true,
"question": "What is the nickname of this author of the collection of 56 Marathi language songs chronologically describing events from the Indian Hindu epic?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who died earlier, Baltic Deputy or The Fish Woman?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Fish Woman",
"style": "rule"
}
|
{
"index": 9098,
"need_tools_kwargs": true,
"question": "Which film has the director who died earlier, Baltic Deputy or The Fish Woman?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Assume that all roots of the equation \\( a^{x} + 2x - 4 = 0 \\) (where \\( a > 0 \\) and \\( a \\neq 1 \\)) are \\( u_{1}, u_{2}, \\cdots, u_{k} \\), where \\( k \\) is a positive integer. All roots of the equation \\( \\log_{a}(2x) + x - 2 = 0 \\) (where \\( a > 0 \\) and \\( a \\neq 1 \\)) are \\( v_{1}, v_{2}, \\cdots, v_{l} \\), where \\( l \\) is a positive integer. What is the value of \\( \\frac{u_{1} + u_{2} + \\cdots + u_{k} + v_{1} + v_{2} + \\cdots + v_{l}}{k + l} \\)?\n\n(A) \\( \\frac{1}{4} \\) \n(B) \\( \\frac{1}{2} \\) \n(C) 1 \n(D) 2",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9099,
"need_tools_kwargs": true,
"question": "Assume that all roots of the equation \\( a^{x} + 2x - 4 = 0 \\) (where \\( a > 0 \\) and \\( a \\neq 1 \\)) are \\( u_{1}, u_{2}, \\cdots, u_{k} \\), where \\( k \\) is a positive integer. All roots of the equation \\( \\log_{a}(2x) + x - 2 = 0 \\) (where \\( a > 0 \\) and \\( a \\neq 1 \\)) are \\( v_{1}, v_{2}, \\cdots, v_{l} \\), where \\( l \\) is a positive integer. What is the value of \\( \\frac{u_{1} + u_{2} + \\cdots + u_{k} + v_{1} + v_{2} + \\cdots + v_{l}}{k + l} \\)?\n\n(A) \\( \\frac{1}{4} \\) \n(B) \\( \\frac{1}{2} \\) \n(C) 1 \n(D) 2",
"split": "train"
}
| null |
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