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": "What Emmy Award winner worked on Miles from Home?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gary Sinise",
"style": "rule"
}
|
{
"index": 2900,
"need_tools_kwargs": true,
"question": "What Emmy Award winner worked on Miles from Home?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Callie picks two distinct numbers from $\\{1, 2, 3, 4, 5\\}$ at random. The probability that the sum of the numbers she picked is greater than the sum of the numbers she didn’t pick is $p$. $p$ can be expressed as $\\frac{a}{b}$ for positive integers $a, b$ with $\\gcd (a, b) = 1$. Find $a + b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 2901,
"need_tools_kwargs": true,
"question": "Callie picks two distinct numbers from $\\{1, 2, 3, 4, 5\\}$ at random. The probability that the sum of the numbers she picked is greater than the sum of the numbers she didn’t pick is $p$. $p$ can be expressed as $\\frac{a}{b}$ for positive integers $a, b$ with $\\gcd (a, b) = 1$. Find $a + b$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film whose director is younger, A Peasant On A Bicycle or Susanna (1967 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "A Peasant On A Bicycle",
"style": "rule"
}
|
{
"index": 2902,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, A Peasant On A Bicycle or Susanna (1967 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Baby Boy (Film) and River Of Gold (1971 Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2903,
"need_tools_kwargs": true,
"question": "Are Baby Boy (Film) and River Of Gold (1971 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": "Whitey Hilcher played for a baseball team that joined the National League (NL) in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1890",
"style": "rule"
}
|
{
"index": 2904,
"need_tools_kwargs": true,
"question": "Whitey Hilcher played for a baseball team that joined the National League (NL) in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the composer of film Sruthilayalu 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "14 March 1918",
"style": "rule"
}
|
{
"index": 2905,
"need_tools_kwargs": true,
"question": "When is the composer of film Sruthilayalu '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": "Tom weighs 150 kg. He manages to hold 1.5 times his weight in each hand while wearing a weight vest weighing half his weight. How much total weight was he moving with?",
"role": "user"
}
] |
math
|
{
"ground_truth": "675",
"style": "rule"
}
|
{
"index": 2906,
"need_tools_kwargs": true,
"question": "Tom weighs 150 kg. He manages to hold 1.5 times his weight in each hand while wearing a weight vest weighing half his weight. How much total weight was he moving with?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Decode the equation ${ }_{* *}+{ }_{* * *}={ }_{* * * *}$, given that both addends and the sum remain unchanged when read from right to left.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1001",
"style": "rule"
}
|
{
"index": 2907,
"need_tools_kwargs": true,
"question": "Decode the equation ${ }_{* *}+{ }_{* * *}={ }_{* * * *}$, given that both addends and the sum remain unchanged when read from right to left.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Yamadonga?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "India",
"style": "rule"
}
|
{
"index": 2908,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Yamadonga?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At a party, there were some couples attending. As they arrive, each person gets to talk with all the other persons who are already in the room. During the party, after all the guests arrive, groups of persons form such that:\n1. No two persons forming a couple belong to the same group.\n2. For each two persons that do not form a couple, there is one and only one group to which both belong.\n\nFind the number of couples attending the party, knowing that there are fewer groups than persons at the party.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 2909,
"need_tools_kwargs": true,
"question": "At a party, there were some couples attending. As they arrive, each person gets to talk with all the other persons who are already in the room. During the party, after all the guests arrive, groups of persons form such that:\n1. No two persons forming a couple belong to the same group.\n2. For each two persons that do not form a couple, there is one and only one group to which both belong.\n\nFind the number of couples attending the party, knowing that there are fewer groups than persons at the party.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Jemima Yorke, 2Nd Marchioness Grey's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "26 January 1782",
"style": "rule"
}
|
{
"index": 2910,
"need_tools_kwargs": true,
"question": "What is the date of death of Jemima Yorke, 2Nd Marchioness Grey's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A jar contains quarters (worth $\\$0.25$ each), nickels (worth $\\$0.05$ each) and pennies (worth $\\$0.01$ each). The value of the quarters is $\\$10.00.$ The value of the nickels is $\\$10.00.$ The value of the pennies is $\\$10.00.$ If Judith randomly chooses one coin from the jar, what is the probability that it is a quarter?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.03226",
"style": "rule"
}
|
{
"index": 2911,
"need_tools_kwargs": true,
"question": "A jar contains quarters (worth $\\$0.25$ each), nickels (worth $\\$0.05$ each) and pennies (worth $\\$0.01$ each). The value of the quarters is $\\$10.00.$ The value of the nickels is $\\$10.00.$ The value of the pennies is $\\$10.00.$ If Judith randomly chooses one coin from the jar, what is the probability that it is a quarter?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ and $b$ be positive real numbers satisfying\n$$\\frac{a}{b} \\left( \\frac{a}{b}+ 2 \\right) + \\frac{b}{a} \\left( \\frac{b}{a}+ 2 \\right)= 2022.$$\nFind the positive integer $n$ such that $$\\sqrt{\\frac{a}{b}}+\\sqrt{\\frac{b}{a}}=\\sqrt{n}.$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "46",
"style": "rule"
}
|
{
"index": 2912,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be positive real numbers satisfying\n$$\\frac{a}{b} \\left( \\frac{a}{b}+ 2 \\right) + \\frac{b}{a} \\left( \\frac{b}{a}+ 2 \\right)= 2022.$$\nFind the positive integer $n$ such that $$\\sqrt{\\frac{a}{b}}+\\sqrt{\\frac{b}{a}}=\\sqrt{n}.$$",
"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 $a$ be a positive real numbers. Let $t,\\ u\\ (t<u)$ be the $x$ coordinates of the point of intersections of the curves : $C_1:y=|\\cos x|\\ (0\\leq x\\leq \\pi),\\ C_2:y=a\\sin x\\ (0\\leq x\\leq \\pi).$ Denote by $S_1$ the area of the part bounded by $C_1,\\ C_2$ and $y$ -axis in $0\\leq x\\leq t$ , and by $S_2$ the area of the part bounded by $C_1,\\ C_2$ in $t\\leq x\\leq u$ . When $a$ moves over all positive real numbers, find the minimum value of $S_1+S_2$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{2}-2",
"style": "rule"
}
|
{
"index": 2913,
"need_tools_kwargs": true,
"question": "Let $a$ be a positive real numbers. Let $t,\\ u\\ (t<u)$ be the $x$ coordinates of the point of intersections of the curves : $C_1:y=|\\cos x|\\ (0\\leq x\\leq \\pi),\\ C_2:y=a\\sin x\\ (0\\leq x\\leq \\pi).$ Denote by $S_1$ the area of the part bounded by $C_1,\\ C_2$ and $y$ -axis in $0\\leq x\\leq t$ , and by $S_2$ the area of the part bounded by $C_1,\\ C_2$ in $t\\leq x\\leq u$ . When $a$ moves over all positive real numbers, find the minimum value of $S_1+S_2$ .",
"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": "Given points $A(-1,4)$ and $B(2,1)$, and circle $C$: $(x-a)^{2}+(y-2)^{2}=16$. If there exists a unique point $P$ on circle $C$ such that $PA^{2}+2PB^{2}=24$ holds, then the set of values for the real number $a$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{-1,3\\}",
"style": "rule"
}
|
{
"index": 2914,
"need_tools_kwargs": true,
"question": "Given points $A(-1,4)$ and $B(2,1)$, and circle $C$: $(x-a)^{2}+(y-2)^{2}=16$. If there exists a unique point $P$ on circle $C$ such that $PA^{2}+2PB^{2}=24$ holds, then the set of values for the real number $a$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Alento (Campania) and Das Cunhãs River located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2915,
"need_tools_kwargs": true,
"question": "Are Alento (Campania) and Das Cunhãs River 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": "A railway line passes through 11 stations labeled A, B, ..., K. The total distance from station A to station K is 56 units. The distances between certain pairs of stations, specifically AC, BD, CE, ..., IK, are each less than or equal to 12 units. Additionally, the distances between other pairs of stations, such as AD, BE, CF, ..., HK, are each greater than or equal to 17 units. Based on this information, determine the distance between stations B and G.",
"role": "user"
}
] |
math
|
{
"ground_truth": "29",
"style": "rule"
}
|
{
"index": 2916,
"need_tools_kwargs": true,
"question": "A railway line passes through 11 stations labeled A, B, ..., K. The total distance from station A to station K is 56 units. The distances between certain pairs of stations, specifically AC, BD, CE, ..., IK, are each less than or equal to 12 units. Additionally, the distances between other pairs of stations, such as AD, BE, CF, ..., HK, are each greater than or equal to 17 units. Based on this information, determine the distance between stations B and G.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 film debut of the actress who starred in Pandemonium?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Divorce American Style\"",
"style": "rule"
}
|
{
"index": 2917,
"need_tools_kwargs": true,
"question": "What was the film debut of the actress who starred in Pandemonium?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the first single from the third album made the member of Take That that was born on 27 January 1972?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Makin' Out",
"style": "rule"
}
|
{
"index": 2918,
"need_tools_kwargs": true,
"question": "What is the name of the first single from the third album made the member of Take That that was born on 27 January 1972?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is best known as the former lead vocalist and bassist for the death metal band Morbid Angel as well as the bassist for Genitorturers, David Vincent or Tom Meighan?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "David Justin Vincent",
"style": "rule"
}
|
{
"index": 2919,
"need_tools_kwargs": true,
"question": "Who is best known as the former lead vocalist and bassist for the death metal band Morbid Angel as well as the bassist for Genitorturers, David Vincent or Tom Meighan?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cost price of a certain product is 40 yuan per item. When the selling price is set at 60 yuan per item, 300 items can be sold per week. Now, it is necessary to reduce the price, and according to market research: for every 1 yuan reduction in price, 20 more items can be sold each week. Under the premise of ensuring profit, solve the following questions: \n(1) If the price is reduced by x yuan per item and the weekly profit from selling the goods is y yuan, please write the function relationship between y and x, and find the range of values for the independent variable x; \n(2) If the minimum unit of price reduction is 1 yuan, how much should the price be reduced to maximize the weekly profit? What is the maximum profit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6125",
"style": "rule"
}
|
{
"index": 2920,
"need_tools_kwargs": true,
"question": "The cost price of a certain product is 40 yuan per item. When the selling price is set at 60 yuan per item, 300 items can be sold per week. Now, it is necessary to reduce the price, and according to market research: for every 1 yuan reduction in price, 20 more items can be sold each week. Under the premise of ensuring profit, solve the following questions: \n(1) If the price is reduced by x yuan per item and the weekly profit from selling the goods is y yuan, please write the function relationship between y and x, and find the range of values for the independent variable x; \n(2) If the minimum unit of price reduction is 1 yuan, how much should the price be reduced to maximize the weekly profit? What is the maximum profit?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 soldier who received the Medal of Honor for valor demonstrated at the age of 19 for single-handedly holding off an entire company of German soldiers for an hour at the Colmar Pocket in France starred in what 1957 Western film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Night Passage",
"style": "rule"
}
|
{
"index": 2921,
"need_tools_kwargs": true,
"question": "The soldier who received the Medal of Honor for valor demonstrated at the age of 19 for single-handedly holding off an entire company of German soldiers for an hour at the Colmar Pocket in France starred in what 1957 Western film?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What song was written by Caroll Hall that RuPaul did a cover of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hard Candy Christmas",
"style": "rule"
}
|
{
"index": 2922,
"need_tools_kwargs": true,
"question": "What song was written by Caroll Hall that RuPaul did a cover of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A number is chosen at random from the set of consecutive natural numbers $\\{1, 2, 3, \\ldots, 40\\}$. What is the probability that the number chosen is a factor of $5!$? Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{5}",
"style": "rule"
}
|
{
"index": 2923,
"need_tools_kwargs": true,
"question": "A number is chosen at random from the set of consecutive natural numbers $\\{1, 2, 3, \\ldots, 40\\}$. What is the probability that the number chosen is a factor of $5!$? Express your answer as a common fraction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the cause of death of director of film What Changed Charley Farthing??",
"role": "user"
}
] |
qa
|
{
"ground_truth": "cancer",
"style": "rule"
}
|
{
"index": 2924,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film What Changed Charley Farthing??",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the director of film Eclipse Of Reason 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 31, 1926",
"style": "rule"
}
|
{
"index": 2925,
"need_tools_kwargs": true,
"question": "When is the director of film Eclipse Of Reason '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": "Roehrig Motorsports entered into a partnership in 1999 with the track athlete who was famous for what two sports?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heptathlon as well as long jump",
"style": "rule"
}
|
{
"index": 2926,
"need_tools_kwargs": true,
"question": "Roehrig Motorsports entered into a partnership in 1999 with the track athlete who was famous for what two sports?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Salah Asuhan (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "11 January 2004",
"style": "rule"
}
|
{
"index": 2927,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Salah Asuhan (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that the sequence ${a_n}$ is an arithmetic sequence with a non-zero common difference, and $a_1 + a_2 + a_3 = 21$, $a_1$, $a_6$, $a_{21}$ form a geometric sequence.\n\n(1) Find the general term formula for ${a_n}$;\n\n(2) If the sequence ${b_n}$ satisfies $\\frac{1}{b_{n+1}} - \\frac{1}{b_n} = a_n$, and $b_1 = \\frac{1}{3}$, find the sum of the first $n$ terms of the sequence ${b_n}$, denoted as $T_n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3n^2 + 5n}{4(n+1)(n+2)}",
"style": "rule"
}
|
{
"index": 2928,
"need_tools_kwargs": true,
"question": "Given that the sequence ${a_n}$ is an arithmetic sequence with a non-zero common difference, and $a_1 + a_2 + a_3 = 21$, $a_1$, $a_6$, $a_{21}$ form a geometric sequence.\n\n(1) Find the general term formula for ${a_n}$;\n\n(2) If the sequence ${b_n}$ satisfies $\\frac{1}{b_{n+1}} - \\frac{1}{b_n} = a_n$, and $b_1 = \\frac{1}{3}$, find the sum of the first $n$ terms of the sequence ${b_n}$, denoted as $T_n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a compartment, any \\( m (m \\geqslant 3) \\) passengers have a unique common friend (if A is a friend of B, then B is also a friend of A, and no one is their own friend). How many friends does the person with the most friends have in this compartment?",
"role": "user"
}
] |
math
|
{
"ground_truth": "m",
"style": "rule"
}
|
{
"index": 2929,
"need_tools_kwargs": true,
"question": "In a compartment, any \\( m (m \\geqslant 3) \\) passengers have a unique common friend (if A is a friend of B, then B is also a friend of A, and no one is their own friend). How many friends does the person with the most friends have in this compartment?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 natural numbers that, when divided by 6, give the same quotient as the remainder.",
"role": "user"
}
] |
math
|
{
"ground_truth": "[7, 14, 21, 28, 35]",
"style": "rule"
}
|
{
"index": 2930,
"need_tools_kwargs": true,
"question": "Find all natural numbers that, when divided by 6, give the same quotient as the remainder.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films La Famille Bélier and Bach The Millionaire share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2931,
"need_tools_kwargs": true,
"question": "Do both directors of films La Famille Bélier and Bach The Millionaire share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $-1 < a < 0$, simplify the expression $\\sqrt {(a+ \\frac {1}{a})^{2}-4}+ \\sqrt {(a- \\frac {1}{a})^{2}+4}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "- \\frac {2}{a}",
"style": "rule"
}
|
{
"index": 2932,
"need_tools_kwargs": true,
"question": "Given that $-1 < a < 0$, simplify the expression $\\sqrt {(a+ \\frac {1}{a})^{2}-4}+ \\sqrt {(a- \\frac {1}{a})^{2}+4}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a round-robin chess tournament, each participant played against every other participant once. Let's call a game irregular if the chess player who won the game scored fewer points in the end than the player who lost. (A win gives 1 point, a draw $1/2$ point, and a loss 0 points.)\n\nCan irregular games constitute\n\na) more than $75\\%$ of the total number of games in the tournament;\n\nb) more than $70\\%$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "70",
"style": "rule"
}
|
{
"index": 2933,
"need_tools_kwargs": true,
"question": "In a round-robin chess tournament, each participant played against every other participant once. Let's call a game irregular if the chess player who won the game scored fewer points in the end than the player who lost. (A win gives 1 point, a draw $1/2$ point, and a loss 0 points.)\n\nCan irregular games constitute\n\na) more than $75\\%$ of the total number of games in the tournament;\n\nb) more than $70\\%$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The distribution of populations in a group of towns is illustrated in this pie chart. What percent of the towns have a population of 50,000 or more but less than 150,000 residents?\n\n[asy]\ndraw(Circle((0,0),25),linewidth(1));\ndraw((-24,-7)--(0,0)--(24,-7),linewidth(1));\ndraw((0,0)--(7,-24),linewidth(1));\nlabel(\"45\\%\",(0,12)); // Changed from 59%\nlabel(\"35\\%\",(-10,-10)); // Changed from 25%\nlabel(\"20\\%\",(10,-10)); // Changed from 16%\nlabel(\"\\textbf{Distribution of Town Populations}\",(0,25),N);\nlabel(\"\\tiny{20,000 to 49,999}\",(30,15),N); // Changed range\nlabel(\"\\tiny{less than 20,000}\",(-30,-15),S); // Changed range\nlabel(\"\\tiny{50,000 or more}\",(30,-15),S); // Changed threshold\nlabel(\"\\tiny{residents}\",(30,13),N);\nlabel(\"\\tiny{residents}\",(-30,-17),S);\nlabel(\"\\tiny{residents}\",(30,-17),S);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "10\\%",
"style": "rule"
}
|
{
"index": 2934,
"need_tools_kwargs": true,
"question": "The distribution of populations in a group of towns is illustrated in this pie chart. What percent of the towns have a population of 50,000 or more but less than 150,000 residents?\n\n[asy]\ndraw(Circle((0,0),25),linewidth(1));\ndraw((-24,-7)--(0,0)--(24,-7),linewidth(1));\ndraw((0,0)--(7,-24),linewidth(1));\nlabel(\"45\\%\",(0,12)); // Changed from 59%\nlabel(\"35\\%\",(-10,-10)); // Changed from 25%\nlabel(\"20\\%\",(10,-10)); // Changed from 16%\nlabel(\"\\textbf{Distribution of Town Populations}\",(0,25),N);\nlabel(\"\\tiny{20,000 to 49,999}\",(30,15),N); // Changed range\nlabel(\"\\tiny{less than 20,000}\",(-30,-15),S); // Changed range\nlabel(\"\\tiny{50,000 or more}\",(30,-15),S); // Changed threshold\nlabel(\"\\tiny{residents}\",(30,13),N);\nlabel(\"\\tiny{residents}\",(-30,-17),S);\nlabel(\"\\tiny{residents}\",(30,-17),S);\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": "a 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "550.17",
"style": "rule"
}
|
{
"index": 2935,
"need_tools_kwargs": true,
"question": "a 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2014–15 Oxford United F.C. season was led by which current assistant manager of Leicester City FC?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Michael Antony Appleton",
"style": "rule"
}
|
{
"index": 2936,
"need_tools_kwargs": true,
"question": "The 2014–15 Oxford United F.C. season was led by which current assistant manager of Leicester City FC?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Golden Globe Award winner for best actor from \"Roseanne\" starred along what actress in Gigantic?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Zooey Deschanel",
"style": "rule"
}
|
{
"index": 2937,
"need_tools_kwargs": true,
"question": "The Golden Globe Award winner for best actor from \"Roseanne\" starred along what actress in Gigantic?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "James gets some singing lessons. He gets the first lesson free and after the first 10 paid lessons he only needs to pay for every other lesson. Each lesson is $5. His uncle pays for half. James pays $35. How many singing lessons does James get?",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 2938,
"need_tools_kwargs": true,
"question": "James gets some singing lessons. He gets the first lesson free and after the first 10 paid lessons he only needs to pay for every other lesson. Each lesson is $5. His uncle pays for half. James pays $35. How many singing lessons does James get?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Annual Galactic Mathematics Symposium (AGMS) is organized by a committee of four Martians, four Venusians, and four Earthlings. They are seated at a round table with chairs numbered from $1$ to $12$ in clockwise order. According to the symposium's rules, a Martian must occupy chair $1$, and an Earthling must occupy chair $12$. Additionally, no Earthling can sit immediately to the left of a Martian, no Martian can sit immediately to the left of a Venusian, and no Venusian can sit immediately to the left of an Earthling. Determine the number of possible seating arrangements for the committee, expressed as $N \\cdot (4!)^3$. Find $N$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "28",
"style": "rule"
}
|
{
"index": 2939,
"need_tools_kwargs": true,
"question": "The Annual Galactic Mathematics Symposium (AGMS) is organized by a committee of four Martians, four Venusians, and four Earthlings. They are seated at a round table with chairs numbered from $1$ to $12$ in clockwise order. According to the symposium's rules, a Martian must occupy chair $1$, and an Earthling must occupy chair $12$. Additionally, no Earthling can sit immediately to the left of a Martian, no Martian can sit immediately to the left of a Venusian, and no Venusian can sit immediately to the left of an Earthling. Determine the number of possible seating arrangements for the committee, expressed as $N \\cdot (4!)^3$. Find $N$.",
"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": "Which city in Rajasthan is a political hub in the country of India?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dantaramgarh",
"style": "rule"
}
|
{
"index": 2940,
"need_tools_kwargs": true,
"question": "Which city in Rajasthan is a political hub in the country of India?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 all triangles $ABC,$ find the maximum value of $\\sin A + \\sin B \\sin C.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.618033600467978",
"style": "rule"
}
|
{
"index": 2941,
"need_tools_kwargs": true,
"question": "Among all triangles $ABC,$ find the maximum value of $\\sin A + \\sin B \\sin C.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Were Goodwin Liu and Marianne Apostolides from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2942,
"need_tools_kwargs": true,
"question": "Were Goodwin Liu and Marianne Apostolides from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film Unnaipol Oruvan (1965 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cuddalore",
"style": "rule"
}
|
{
"index": 2943,
"need_tools_kwargs": true,
"question": "Where was the director of film Unnaipol Oruvan (1965 Film) 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": "Are director of film Annie Hall and director of film Arizona Legion from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2944,
"need_tools_kwargs": true,
"question": "Are director of film Annie Hall and director of film Arizona Legion from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the largest possible area of an isosceles trapezoid in which the largest side is $13$ and the perimeter is $28$? Find the largest possible area.",
"role": "user"
}
] |
math
|
{
"ground_truth": "27",
"style": "rule"
}
|
{
"index": 2945,
"need_tools_kwargs": true,
"question": "What is the largest possible area of an isosceles trapezoid in which the largest side is $13$ and the perimeter is $28$? Find the largest possible area.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Is there a real number h such that $[h\\cdot1969^n]$ is not divisible by $[h\\cdot1969^{n-1}]$ for any positive integer n? The original answer is in \\frac{m^3}{n} format, please give the value of m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3937",
"style": "rule"
}
|
{
"index": 2946,
"need_tools_kwargs": true,
"question": "Is there a real number h such that $[h\\cdot1969^n]$ is not divisible by $[h\\cdot1969^{n-1}]$ for any positive integer n? The original answer is in \\frac{m^3}{n} format, please give the value of 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": "In which year did the artist behind Blue Nighborhood star in an X-Men film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2009",
"style": "rule"
}
|
{
"index": 2947,
"need_tools_kwargs": true,
"question": "In which year did the artist behind Blue Nighborhood star in an X-Men film?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Nova Zembla (Film) study?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Amsterdam",
"style": "rule"
}
|
{
"index": 2948,
"need_tools_kwargs": true,
"question": "Where did the director of film Nova Zembla (Film) study?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$ 500 is divided amongst a, b, c, d, and e so that a may get 5 / 7 as much as b, c, d, and e together, b may get 11 / 16 as much as a, c, and d together, c may get 3 / 8 as much as a, b, and e together, and d may get 7 / 12 as much as a, b, and c together. Find the share of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$208.33",
"style": "rule"
}
|
{
"index": 2949,
"need_tools_kwargs": true,
"question": "$ 500 is divided amongst a, b, c, d, and e so that a may get 5 / 7 as much as b, c, d, and e together, b may get 11 / 16 as much as a, c, and d together, c may get 3 / 8 as much as a, b, and e together, and d may get 7 / 12 as much as a, b, and c together. Find the share of a.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are director of film Piccadilly Jim (1919 Film) and director of film Moving Day (2012 Film) both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2950,
"need_tools_kwargs": true,
"question": "Are director of film Piccadilly Jim (1919 Film) and director of film Moving Day (2012 Film) both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Are All Men Alike? die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hollywood",
"style": "rule"
}
|
{
"index": 2951,
"need_tools_kwargs": true,
"question": "Where did the director of film Are All Men Alike? 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": "设点 $A(2,0)$, 点 $B$ 在曲线 $y=\\sqrt{1-x^{2}}$上, $\\triangle A B C$ 是以 $A$ 为直角顶点的等腰直角三角形. 则 $|O C|$ 的最大值为 $\\qquad$.原始的答案是k\\sqrt{m}+n的形式，请给出k + m + n的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 2952,
"need_tools_kwargs": true,
"question": "设点 $A(2,0)$, 点 $B$ 在曲线 $y=\\sqrt{1-x^{2}}$上, $\\triangle A B C$ 是以 $A$ 为直角顶点的等腰直角三角形. 则 $|O C|$ 的最大值为 $\\qquad$.原始的答案是k\\sqrt{m}+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": "Who is an American musician, singer and songwriter best known as one of the guitarists and co-founder of the nu metal band Korn and his solo project Love and Death, Brian Welch or Ville Valo?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brian Philip Welch",
"style": "rule"
}
|
{
"index": 2953,
"need_tools_kwargs": true,
"question": "Who is an American musician, singer and songwriter best known as one of the guitarists and co-founder of the nu metal band Korn and his solo project Love and Death, Brian Welch or Ville Valo?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Finch, Vanslyck, And Mcconville Dry Goods Company Building and Pleasant Prospect located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2954,
"need_tools_kwargs": true,
"question": "Are Finch, Vanslyck, And Mcconville Dry Goods Company Building and Pleasant Prospect 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": "Consider all possible tetrahedra \\( ABCD \\) where \\( AB=4 \\), \\( AC=CB=6 \\), and \\( AD=DB=7 \\). Each such tetrahedron is inscribed in a cylinder such that all vertices are on its lateral surface and edge \\( CD \\) is parallel to the cylinder's axis. Select the tetrahedron for which the cylinder's radius is the smallest among all those obtained. What possible values can the length of \\( CD \\) take in such a tetrahedron?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{41} \\pm 2 \\sqrt{7}",
"style": "rule"
}
|
{
"index": 2955,
"need_tools_kwargs": true,
"question": "Consider all possible tetrahedra \\( ABCD \\) where \\( AB=4 \\), \\( AC=CB=6 \\), and \\( AD=DB=7 \\). Each such tetrahedron is inscribed in a cylinder such that all vertices are on its lateral surface and edge \\( CD \\) is parallel to the cylinder's axis. Select the tetrahedron for which the cylinder's radius is the smallest among all those obtained. What possible values can the length of \\( CD \\) take in such a tetrahedron?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cafe has 3 tables and 5 individual counter seats. People enter in groups of size between 1 and 4, inclusive, and groups never share a table. A group of more than 1 will always try to sit at a table, but will sit in counter seats if no tables are available. Conversely, a group of 1 will always try to sit at the counter first. One morning, $M$ groups consisting of a total of $N$ people enter and sit down. Then, a single person walks in, and realizes that all the tables and counter seats are occupied by some person or group. What is the minimum possible value of $M + N$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 2956,
"need_tools_kwargs": true,
"question": "A cafe has 3 tables and 5 individual counter seats. People enter in groups of size between 1 and 4, inclusive, and groups never share a table. A group of more than 1 will always try to sit at a table, but will sit in counter seats if no tables are available. Conversely, a group of 1 will always try to sit at the counter first. One morning, $M$ groups consisting of a total of $N$ people enter and sit down. Then, a single person walks in, and realizes that all the tables and counter seats are occupied by some person or group. What is the minimum possible value of $M + N$?",
"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": "Randomly choose any pair of ordered integers \\((b, c)\\), where the absolute value of each integer is less than or equal to 5. Each such pair of ordered integers is equally likely to be chosen. What is the probability that the equation \\(x^2 + bx + c = 0\\) does not have two distinct positive real roots?\nA. \\(\\frac{106}{121}\\)\nB. \\(\\frac{108}{121}\\)\nC. \\(\\frac{110}{121}\\)\nD. \\(\\frac{112}{121}\\)\nE. None of these.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{111}{121}",
"style": "rule"
}
|
{
"index": 2957,
"need_tools_kwargs": true,
"question": "Randomly choose any pair of ordered integers \\((b, c)\\), where the absolute value of each integer is less than or equal to 5. Each such pair of ordered integers is equally likely to be chosen. What is the probability that the equation \\(x^2 + bx + c = 0\\) does not have two distinct positive real roots?\nA. \\(\\frac{106}{121}\\)\nB. \\(\\frac{108}{121}\\)\nC. \\(\\frac{110}{121}\\)\nD. \\(\\frac{112}{121}\\)\nE. None of these.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jason went to the mall on Saturday to buy clothes . He spent $ 14.28 in total on shorts and a jacket . He spent $ 4.74 on the jacket. Jason spent _____ on the shorts .",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$9.54",
"style": "rule"
}
|
{
"index": 2958,
"need_tools_kwargs": true,
"question": "Jason went to the mall on Saturday to buy clothes . He spent $ 14.28 in total on shorts and a jacket . He spent $ 4.74 on the jacket. Jason spent _____ on the shorts .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the largest positive integer $n$ for which there exists a set $S$ with exactly $n$ numbers such that: \n- Each member in $S$ is a positive integer not exceeding $2002$.\n- If $a, b \\in S$ (not necessarily different), then $ab \\not\\in S$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1958",
"style": "rule"
}
|
{
"index": 2959,
"need_tools_kwargs": true,
"question": "Determine the largest positive integer $n$ for which there exists a set $S$ with exactly $n$ numbers such that: \n- Each member in $S$ is a positive integer not exceeding $2002$.\n- If $a, b \\in S$ (not necessarily different), then $ab \\not\\in S$.",
"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 nationality is the composer of film The Monster Maker?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 2960,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film The Monster Maker?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For the family of parabolas\n$$\ny=\\frac{a^{3} x^{2}}{3}+\\frac{a^{2} x}{2}-2 a,\n$$find the envelope. The original answer is in the form of two points \\left(\\frac{k_1}{a}, -\\frac{k_2a}{m}\\right) and \\left(-\\frac{k_3}{a}, -\\frac{k_4a}{n}\\right). Please find the value of k_1+k_2+k_3+k_4+m+n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 2961,
"need_tools_kwargs": true,
"question": "For the family of parabolas\n$$\ny=\\frac{a^{3} x^{2}}{3}+\\frac{a^{2} x}{2}-2 a,\n$$find the envelope. The original answer is in the form of two points \\left(\\frac{k_1}{a}, -\\frac{k_2a}{m}\\right) and \\left(-\\frac{k_3}{a}, -\\frac{k_4a}{n}\\right). Please find the value of k_1+k_2+k_3+k_4+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": "Which film has the director died later, Before the Jury or The White Sheik?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The White Sheik",
"style": "rule"
}
|
{
"index": 2962,
"need_tools_kwargs": true,
"question": "Which film has the director died later, Before the Jury or The White Sheik?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$100\\times 19.98\\times 1.998\\times 1000=$\n$\\text{(A)}\\ (1.998)^2 \\qquad \\text{(B)}\\ (19.98)^2 \\qquad \\text{(C)}\\ (199.8)^2 \\qquad \\text{(D)}\\ (1998)^2 \\qquad \\text{(E)}\\ (19980)^2$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1998)^2",
"style": "rule"
}
|
{
"index": 2963,
"need_tools_kwargs": true,
"question": "$100\\times 19.98\\times 1.998\\times 1000=$\n$\\text{(A)}\\ (1.998)^2 \\qquad \\text{(B)}\\ (19.98)^2 \\qquad \\text{(C)}\\ (199.8)^2 \\qquad \\text{(D)}\\ (1998)^2 \\qquad \\text{(E)}\\ (19980)^2$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is older, William Fraser Mcdonell or Marjorie Fowler?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "William Fraser Mcdonell",
"style": "rule"
}
|
{
"index": 2964,
"need_tools_kwargs": true,
"question": "Who is older, William Fraser Mcdonell or Marjorie Fowler?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what city is the consulting corporation located?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "headquartered in Paris, France",
"style": "rule"
}
|
{
"index": 2965,
"need_tools_kwargs": true,
"question": "In what city is the consulting corporation located?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integers \\( n \\) greater than 1 such that \\( 2^{2} + 3^{2} + \\cdots + n^{2} \\) is a power \\( k \\) of a prime number \\( p \\), where \\( k \\) is a positive integer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2, 3, 4, 7",
"style": "rule"
}
|
{
"index": 2966,
"need_tools_kwargs": true,
"question": "Find all positive integers \\( n \\) greater than 1 such that \\( 2^{2} + 3^{2} + \\cdots + n^{2} \\) is a power \\( k \\) of a prime number \\( p \\), where \\( k \\) is a positive integer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Does the Polygon article suggest that Walt Disney Studios is unable to meet the individualized desires of Disney fans, while another Polygon article observes that Esfand's fanbase has evolved from gaming to sports fans, indicating a shift in fan interests?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yes",
"style": "rule"
}
|
{
"index": 2967,
"need_tools_kwargs": true,
"question": "Does the Polygon article suggest that Walt Disney Studios is unable to meet the individualized desires of Disney fans, while another Polygon article observes that Esfand's fanbase has evolved from gaming to sports fans, indicating a shift in fan interests?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 St. Ives (1976 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "30 August 2002",
"style": "rule"
}
|
{
"index": 2968,
"need_tools_kwargs": true,
"question": "When did the director of film St. Ives (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": "When did the director of film Bad Man From Red Butte die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "15 February 1952",
"style": "rule"
}
|
{
"index": 2969,
"need_tools_kwargs": true,
"question": "When did the director of film Bad Man From Red Butte die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Princess of Gossip is a novel by an author who was a dancer and trained at what facility located in La Habra, California?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hart Academy of Dance",
"style": "rule"
}
|
{
"index": 2970,
"need_tools_kwargs": true,
"question": "The Princess of Gossip is a novel by an author who was a dancer and trained at what facility located in La Habra, California?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$ABCD$ is a rectangle that is four times as long as it is wide. Point $E$ is the midpoint of $\\overline{BC}$. What percent of the rectangle is shaded?\n\n[asy]\ndraw( (0,0) -- (4,0) -- (4,1) -- (0,1) -- cycle);draw( (2,0) -- (0,1) ); draw( (4,0) -- (0,1));\nfill( (0,0) -- (0,1) -- (2,0) -- cycle, gray); fill( (0,1) -- (4,0) -- (4,1) -- cycle, gray);\nlabel(\"$A$\", (0,1) , NW); label(\"$B$\", (0,0) , SW); label(\"$C$\", (4,0) , SE);label(\"$D$\", (4,1) , NE);label(\"$E$\", (2,0), S);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "75",
"style": "rule"
}
|
{
"index": 2971,
"need_tools_kwargs": true,
"question": "$ABCD$ is a rectangle that is four times as long as it is wide. Point $E$ is the midpoint of $\\overline{BC}$. What percent of the rectangle is shaded?\n\n[asy]\ndraw( (0,0) -- (4,0) -- (4,1) -- (0,1) -- cycle);draw( (2,0) -- (0,1) ); draw( (4,0) -- (0,1));\nfill( (0,0) -- (0,1) -- (2,0) -- cycle, gray); fill( (0,1) -- (4,0) -- (4,1) -- cycle, gray);\nlabel(\"$A$\", (0,1) , NW); label(\"$B$\", (0,0) , SW); label(\"$C$\", (4,0) , SE);label(\"$D$\", (4,1) , NE);label(\"$E$\", (2,0), S);\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": "What is the date of death of Alqas Mirza's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 23, 1524",
"style": "rule"
}
|
{
"index": 2972,
"need_tools_kwargs": true,
"question": "What is the date of death of Alqas Mirza's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Hugo, Evo, and Fidel are playing Dungeons and Dragons, which requires many twenty-sided dice. Attempting to slay Evo's vicious hobgoblin +1 of viciousness, Hugo rolls $25$ twenty-sided dice, obtaining a sum of (alas!) only $70$. Trying to console him, Fidel notes that, given that sum, the product of the numbers was as large as possible. How many $2$s did Hugo roll?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 2973,
"need_tools_kwargs": true,
"question": "Hugo, Evo, and Fidel are playing Dungeons and Dragons, which requires many twenty-sided dice. Attempting to slay Evo's vicious hobgoblin +1 of viciousness, Hugo rolls $25$ twenty-sided dice, obtaining a sum of (alas!) only $70$. Trying to console him, Fidel notes that, given that sum, the product of the numbers was as large as possible. How many $2$s did Hugo roll?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "John has recorded completion times, in seconds, of 100, 108, 112, 104, and 110 for running a 100-meter dash. After another race, he realized his median time dropped to 106 seconds. What was his time, in seconds, for the latest race?",
"role": "user"
}
] |
math
|
{
"ground_truth": "104",
"style": "rule"
}
|
{
"index": 2974,
"need_tools_kwargs": true,
"question": "John has recorded completion times, in seconds, of 100, 108, 112, 104, and 110 for running a 100-meter dash. After another race, he realized his median time dropped to 106 seconds. What was his time, in seconds, for the latest race?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Meryl Silverburgh is a video game character that as redesigned and reintroduced in a videogame produced by which company ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Konami Computer Entertainment Japan",
"style": "rule"
}
|
{
"index": 2975,
"need_tools_kwargs": true,
"question": "Meryl Silverburgh is a video game character that as redesigned and reintroduced in a videogame produced by which company ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the sibling of the creator of The Crucifixion and Last Judgement diptych?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hubert Van Eyck",
"style": "rule"
}
|
{
"index": 2976,
"need_tools_kwargs": true,
"question": "Who is the sibling of the creator of The Crucifixion and Last Judgement diptych?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Holy Roman Emperor did Raphael Sobiehrd-Mnishovsky of Sebuzin and of Horstein serve under?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rudolf II",
"style": "rule"
}
|
{
"index": 2977,
"need_tools_kwargs": true,
"question": "Which Holy Roman Emperor did Raphael Sobiehrd-Mnishovsky of Sebuzin and of Horstein serve under?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actor on the television series \"Due South\" also played in the 2007 film The Invisible? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Callum Keith Rennie",
"style": "rule"
}
|
{
"index": 2978,
"need_tools_kwargs": true,
"question": "Which actor on the television series \"Due South\" also played in the 2007 film The Invisible? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 side length 2 is rotated about one vertex by an angle of $\\beta,$ where $0^\\circ < \\beta < 90^\\circ$ and $\\cos \\beta = \\frac{3}{5}.$ Find the area of the shaded region that is common to both squares.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{4}{3}",
"style": "rule"
}
|
{
"index": 2979,
"need_tools_kwargs": true,
"question": "A square with side length 2 is rotated about one vertex by an angle of $\\beta,$ where $0^\\circ < \\beta < 90^\\circ$ and $\\cos \\beta = \\frac{3}{5}.$ Find the area of the shaded region that is common to both 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 circle of radius 1 is surrounded by 4 circles of radius $r$ as shown. What is $r$?\n\n[asy]\nunitsize(0.6cm);\nfor(int i=0; i<2; ++i){\nfor(int j=0; j<2; ++j){\ndraw(Circle((-2.4+4.8i,-2.4+4.8j),2.4),linewidth(0.7));\ndraw((-2.4+4.8i,-2.4+4.8j)--(-0.7+4.8i,-0.7+4.8j));\nlabel(\"$r$\",(-1.5+4.8i,-1.5+4.8j),SE);\n};\n}\ndraw(Circle((0,0),1),linewidth(0.7));\ndraw((0,0)--(1,0));\nlabel(\"1\",(0.5,0),S);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "1+\\sqrt{2}",
"style": "rule"
}
|
{
"index": 2980,
"need_tools_kwargs": true,
"question": "A circle of radius 1 is surrounded by 4 circles of radius $r$ as shown. What is $r$?\n\n[asy]\nunitsize(0.6cm);\nfor(int i=0; i<2; ++i){\nfor(int j=0; j<2; ++j){\ndraw(Circle((-2.4+4.8i,-2.4+4.8j),2.4),linewidth(0.7));\ndraw((-2.4+4.8i,-2.4+4.8j)--(-0.7+4.8i,-0.7+4.8j));\nlabel(\"$r$\",(-1.5+4.8i,-1.5+4.8j),SE);\n};\n}\ndraw(Circle((0,0),1),linewidth(0.7));\ndraw((0,0)--(1,0));\nlabel(\"1\",(0.5,0),S);\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": "设 A 是平面内 6 个点组成的集合，记 n(A) 为经过 A 中至少 3 个点的单位圆的个数. 求 n(A) 的最大可能值.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 2981,
"need_tools_kwargs": true,
"question": "设 A 是平面内 6 个点组成的集合，记 n(A) 为经过 A 中至少 3 个点的单位圆的个数. 求 n(A) 的最大可能值.",
"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": "Let the function \\( \\operatorname{lac}(x) \\), defined on the set of real numbers, be given by the following rule:\n\n$$\n\\operatorname{lac}(x) = \n\\begin{cases}\nx, & \\text{if } x \\in [2n, 2n+1], \\text{ where } n \\in \\mathbb{Z} \\\\\n-x + 4n + 3, & \\text{if } x \\in (2n+1, 2n+2), \\text{ where } n \\in \\mathbb{Z}\n\\end{cases}\n$$\n\nSolve the equation \\( \\operatorname{lac}(2x^2 + x + 4) = \\operatorname{lac}(x^2 + 7x - 1) \\) in the set of real numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 2982,
"need_tools_kwargs": true,
"question": "Let the function \\( \\operatorname{lac}(x) \\), defined on the set of real numbers, be given by the following rule:\n\n$$\n\\operatorname{lac}(x) = \n\\begin{cases}\nx, & \\text{if } x \\in [2n, 2n+1], \\text{ where } n \\in \\mathbb{Z} \\\\\n-x + 4n + 3, & \\text{if } x \\in (2n+1, 2n+2), \\text{ where } n \\in \\mathbb{Z}\n\\end{cases}\n$$\n\nSolve the equation \\( \\operatorname{lac}(2x^2 + x + 4) = \\operatorname{lac}(x^2 + 7x - 1) \\) in the set of real numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The matrices\n\\[\\begin{pmatrix} a & 2 \\\\ 1 & 4 \\end{pmatrix} \\quad \\text{and} \\quad \\begin{pmatrix} -\\frac{2}{7} & \\frac{1}{7} \\\\ b & \\frac{3}{14} \\end{pmatrix}\\]are inverses. Enter the ordered pair $(a,b).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( -3, \\frac{1}{14} \\right)",
"style": "rule"
}
|
{
"index": 2983,
"need_tools_kwargs": true,
"question": "The matrices\n\\[\\begin{pmatrix} a & 2 \\\\ 1 & 4 \\end{pmatrix} \\quad \\text{and} \\quad \\begin{pmatrix} -\\frac{2}{7} & \\frac{1}{7} \\\\ b & \\frac{3}{14} \\end{pmatrix}\\]are inverses. Enter the ordered pair $(a,b).$",
"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": "The 2009 Houphouët-Boigny stampede occurred on 29 March 2009 in the Stade Félix Houphouët-Boigny in Abidjan, Côte d'Ivoire before a 2010 FIFA World Cup qualification match, the match was particularly popular among locals, with world stars such as which professional footballer who plays for Championship side Cardiff City and the Ivory Coast national team, as a centre-back?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Souleymane \"Sol\" Bamba",
"style": "rule"
}
|
{
"index": 2984,
"need_tools_kwargs": true,
"question": "The 2009 Houphouët-Boigny stampede occurred on 29 March 2009 in the Stade Félix Houphouët-Boigny in Abidjan, Côte d'Ivoire before a 2010 FIFA World Cup qualification match, the match was particularly popular among locals, with world stars such as which professional footballer who plays for Championship side Cardiff City and the Ivory Coast national team, as a centre-back?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Fairy Tales was models after what November 2005 BBC One show?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "ShakespeaRe-Told",
"style": "rule"
}
|
{
"index": 2985,
"need_tools_kwargs": true,
"question": "Fairy Tales was models after what November 2005 BBC One show?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Sides $\\overline{AB}$ and $\\overline{CD}$ of regular octagon $ABCDEFGH$ are extended to meet at point $Q$. What is the degree measure of angle $Q$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "22.5^\\circ",
"style": "rule"
}
|
{
"index": 2986,
"need_tools_kwargs": true,
"question": "Sides $\\overline{AB}$ and $\\overline{CD}$ of regular octagon $ABCDEFGH$ are extended to meet at point $Q$. What is the degree measure of angle $Q$?",
"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": "What is the nickname of the airplane model flown in Malaysian Airlines Flight 370?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Triple Seven\"",
"style": "rule"
}
|
{
"index": 2987,
"need_tools_kwargs": true,
"question": "What is the nickname of the airplane model flown in Malaysian Airlines Flight 370?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 vertex $C$ of rhombus $A B C D$, with side length $a$, two segments $C E$ and $C F$ are drawn, dividing the rhombus into three equal areas. Given that $\\cos C = \\frac{1}{4}$, find the sum of $C E + C F$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{8a}{3}",
"style": "rule"
}
|
{
"index": 2988,
"need_tools_kwargs": true,
"question": "From vertex $C$ of rhombus $A B C D$, with side length $a$, two segments $C E$ and $C F$ are drawn, dividing the rhombus into three equal areas. Given that $\\cos C = \\frac{1}{4}$, find the sum of $C E + C F$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\nGiven any $n$, let\n\n$$\na_{n}=\\frac{1}{1 \\cdot 2 \\cdot 3}+\\frac{1}{2 \\cdot 3 \\cdot 4}+\\ldots+\\frac{1}{n(n+1)(n+2)}\n$$\n\nIs the sequence $a_{n}$ convergent, and if it is, what is its limit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{4}",
"style": "rule"
}
|
{
"index": 2989,
"need_tools_kwargs": true,
"question": "\nGiven any $n$, let\n\n$$\na_{n}=\\frac{1}{1 \\cdot 2 \\cdot 3}+\\frac{1}{2 \\cdot 3 \\cdot 4}+\\ldots+\\frac{1}{n(n+1)(n+2)}\n$$\n\nIs the sequence $a_{n}$ convergent, and if it is, what is its limit?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Colonel Humphrey Mews was Deputy Private Secretary to which member of the British royal family?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Charles, Prince of Wales",
"style": "rule"
}
|
{
"index": 2990,
"need_tools_kwargs": true,
"question": "Colonel Humphrey Mews was Deputy Private Secretary to which member of the British royal 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": "Suppose a farmer's cow gives birth to a heifer at the age of two. Subsequently, both the original cow and each heifer will produce one heifer per year starting at the age of two. Given this scenario, determine the total offspring of the original cow after 25 years.\n\nThe time is counted from the birth of the first cow, and no cattle are slaughtered within this period.",
"role": "user"
}
] |
math
|
{
"ground_truth": "75025",
"style": "rule"
}
|
{
"index": 2991,
"need_tools_kwargs": true,
"question": "Suppose a farmer's cow gives birth to a heifer at the age of two. Subsequently, both the original cow and each heifer will produce one heifer per year starting at the age of two. Given this scenario, determine the total offspring of the original cow after 25 years.\n\nThe time is counted from the birth of the first cow, and no cattle are slaughtered within this period.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 call a natural number $n$ squareable if the numbers from 1 to $n$ can be arranged in such a way that each member of the sequence, when added to its index, gives a perfect square. For example, the number 5 is squareable because the numbers can be arranged as 32154, such that $3+1=4$, $2+2=4$, $1+3=4$, and $5+4=9$. Determine which of the numbers $7, 9, 11, 15$ are squareable.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9, 15",
"style": "rule"
}
|
{
"index": 2992,
"need_tools_kwargs": true,
"question": "Let's call a natural number $n$ squareable if the numbers from 1 to $n$ can be arranged in such a way that each member of the sequence, when added to its index, gives a perfect square. For example, the number 5 is squareable because the numbers can be arranged as 32154, such that $3+1=4$, $2+2=4$, $1+3=4$, and $5+4=9$. Determine which of the numbers $7, 9, 11, 15$ are squareable.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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: $\\frac{{\\sin({2\\pi-\\alpha})\\cos({\\pi+\\alpha})\\tan({\\frac{\\pi}{2}+\\alpha})}}{{\\cos({\\pi-\\alpha})\\sin({3\\pi-\\alpha})\\cot({-\\alpha})}}=$____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1",
"style": "rule"
}
|
{
"index": 2993,
"need_tools_kwargs": true,
"question": "Simplify: $\\frac{{\\sin({2\\pi-\\alpha})\\cos({\\pi+\\alpha})\\tan({\\frac{\\pi}{2}+\\alpha})}}{{\\cos({\\pi-\\alpha})\\sin({3\\pi-\\alpha})\\cot({-\\alpha})}}=$____.",
"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": "Ricardo Delgado has worked on the 2004 superhero film directed by whom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brad Bird",
"style": "rule"
}
|
{
"index": 2994,
"need_tools_kwargs": true,
"question": "Ricardo Delgado has worked on the 2004 superhero film directed by whom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Is Julian Casablancas or Zonic Shockum more related to The Strokes?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Julian Fernando Casablancas",
"style": "rule"
}
|
{
"index": 2995,
"need_tools_kwargs": true,
"question": "Is Julian Casablancas or Zonic Shockum more related to The Strokes?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actor better known as Chilam in a movie by Ringo Lam?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1998",
"style": "rule"
}
|
{
"index": 2996,
"need_tools_kwargs": true,
"question": "When was the actor better known as Chilam in a movie by Ringo Lam?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polynomial \\( P(x) \\) with integer coefficients. It is known that \\( P(1) = 2013 \\), \\( P(2013) = 1 \\), and \\( P(k) = k \\), where \\( k \\) is some integer. Find \\( k \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1007",
"style": "rule"
}
|
{
"index": 2997,
"need_tools_kwargs": true,
"question": "Given a polynomial \\( P(x) \\) with integer coefficients. It is known that \\( P(1) = 2013 \\), \\( P(2013) = 1 \\), and \\( P(k) = k \\), where \\( k \\) is some integer. Find \\( k \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both Sabritas and Transocean Tours located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2998,
"need_tools_kwargs": true,
"question": "Are both Sabritas and Transocean Tours 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": "Henry Durant went to this constituent college that has over how many students and fellows?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "seven hundred",
"style": "rule"
}
|
{
"index": 2999,
"need_tools_kwargs": true,
"question": "Henry Durant went to this constituent college that has over how many students and fellows?",
"split": "train"
}
| null |
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