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": "Lucy has $8$ children, each of whom has a distinct favorite integer from $1$ to $10$, inclusive. The smallest number that is a perfect multiple of all of these favorite numbers is $1260$, and the average of these favorite numbers is at most $5$. Find the sum of the four largest numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "27",
"style": "rule"
}
|
{
"index": 2100,
"need_tools_kwargs": true,
"question": "Lucy has $8$ children, each of whom has a distinct favorite integer from $1$ to $10$, inclusive. The smallest number that is a perfect multiple of all of these favorite numbers is $1260$, and the average of these favorite numbers is at most $5$. Find the sum of the four largest 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": "将 $1,2,3,4,5,6$ 随机排成一行, 记为 $a, b, c, d, e, f$, 则 $a b c+d e f$ 是奇数的概率为 $\\qquad$.\n原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 2101,
"need_tools_kwargs": true,
"question": "将 $1,2,3,4,5,6$ 随机排成一行, 记为 $a, b, c, d, e, f$, 则 $a b c+d e f$ 是奇数的概率为 $\\qquad$.\n原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终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": "What role is the actor who starred with Glynn Turman in J.D.'s Revenge best known for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gunnery Sergeant Emil Foley",
"style": "rule"
}
|
{
"index": 2102,
"need_tools_kwargs": true,
"question": "What role is the actor who starred with Glynn Turman in J.D.'s Revenge best known for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知正方体 $A B C D-A^{\\prime} B^{\\prime} C^{\\prime} D^{\\prime}$ 的棱长为 1, 点 $M, N$ 分别为线段 $A B^{\\prime}, A C$ 上的动点, 点 $T$在屏幕 $B C C^{\\prime} B^{\\prime}$ 内，求 $|M T|+|N T|$ 的最小值。原始答案为 $\\frac{a\\sqrt{b}}{c}$ 格式，请给出 $a + b+c$ 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 2103,
"need_tools_kwargs": true,
"question": "已知正方体 $A B C D-A^{\\prime} B^{\\prime} C^{\\prime} D^{\\prime}$ 的棱长为 1, 点 $M, N$ 分别为线段 $A B^{\\prime}, A C$ 上的动点, 点 $T$在屏幕 $B C C^{\\prime} B^{\\prime}$ 内，求 $|M T|+|N T|$ 的最小值。原始答案为 $\\frac{a\\sqrt{b}}{c}$ 格式，请给出 $a + b+c$ 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": "Where was the director of film A Man'S Neck born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lille",
"style": "rule"
}
|
{
"index": 2104,
"need_tools_kwargs": true,
"question": "Where was the director of film A Man'S Neck 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": "Evaluate the sum of all positive irreducible fractions less than $1$ with the denominator $1991$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "900",
"style": "rule"
}
|
{
"index": 2105,
"need_tools_kwargs": true,
"question": "Evaluate the sum of all positive irreducible fractions less than $1$ with the denominator $1991$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In an even-numbered Arithmetic Progression (A.P.), the sums of the odd and even-numbered terms are 30 and 45, respectively. Additionally, the last term exceeds the first term by 7.5. Determine the number of terms in the A.P.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 2106,
"need_tools_kwargs": true,
"question": "In an even-numbered Arithmetic Progression (A.P.), the sums of the odd and even-numbered terms are 30 and 45, respectively. Additionally, the last term exceeds the first term by 7.5. Determine the number of terms in the A.P.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 drew a map of 64 stars of the Pleiades from his observations in 1779 and then published it in 1786?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Edme-Sébastien Jeaurat",
"style": "rule"
}
|
{
"index": 2107,
"need_tools_kwargs": true,
"question": "Who drew a map of 64 stars of the Pleiades from his observations in 1779 and then published it in 1786?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If Greg rolls four fair six-sided dice, what is the probability that he rolls more 1's than 6's?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{421}{1296}",
"style": "rule"
}
|
{
"index": 2108,
"need_tools_kwargs": true,
"question": "If Greg rolls four fair six-sided dice, what is the probability that he rolls more 1's than 6'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": "In what year was the Spanish football team that plays in Segunda División B – Group 4 and features Francisco Javier Pérez Páez in central midfield founded?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2007",
"style": "rule"
}
|
{
"index": 2109,
"need_tools_kwargs": true,
"question": "In what year was the Spanish football team that plays in Segunda División B – Group 4 and features Francisco Javier Pérez Páez in central midfield founded?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Using toothpicks of equal length, a rectangular grid is constructed. The grid measures 25 toothpicks in height and 15 toothpicks in width. Additionally, there is an internal horizontal partition at every fifth horizontal line starting from the bottom. Calculate the total number of toothpicks used.",
"role": "user"
}
] |
math
|
{
"ground_truth": "850",
"style": "rule"
}
|
{
"index": 2110,
"need_tools_kwargs": true,
"question": "Using toothpicks of equal length, a rectangular grid is constructed. The grid measures 25 toothpicks in height and 15 toothpicks in width. Additionally, there is an internal horizontal partition at every fifth horizontal line starting from the bottom. Calculate the total number of toothpicks used.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Nick Debout was an American Football player who played for the Atlanta Falcons, Seattle Seahawks and Minnesota Vikings. He attended a University often pronounce \"U-Dub\". What University did he attend?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Wyoming",
"style": "rule"
}
|
{
"index": 2111,
"need_tools_kwargs": true,
"question": "Nick Debout was an American Football player who played for the Atlanta Falcons, Seattle Seahawks and Minnesota Vikings. He attended a University often pronounce \"U-Dub\". What University did he attend?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Ghanaian footballer born who graduated from the SC Bastia Reserves and Academy?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "3 December 1982",
"style": "rule"
}
|
{
"index": 2112,
"need_tools_kwargs": true,
"question": "When was the Ghanaian footballer born who graduated from the SC Bastia Reserves and Academy?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 nomination did the album by Kevin Sharp received for the 1997 Grammy Award?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Best Male Pop Vocal Performance",
"style": "rule"
}
|
{
"index": 2113,
"need_tools_kwargs": true,
"question": "What nomination did the album by Kevin Sharp received for the 1997 Grammy Award?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Connaught Square is just north of a park that is divided by what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Serpentine and the Long Water",
"style": "rule"
}
|
{
"index": 2114,
"need_tools_kwargs": true,
"question": "Connaught Square is just north of a park that is divided by what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the director of film You'Re My Everything (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 10, 1896",
"style": "rule"
}
|
{
"index": 2115,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film You'Re My Everything (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": "Let $P(x)=x^2+bx+c$ . Suppose $P(P(1))=P(P(-2))=0$ and $P(1)\\neq P(-2)$ . Then $P(0)=$",
"role": "user"
}
] |
math
|
{
"ground_truth": "$-\\frac{5}{2}$",
"style": "rule"
}
|
{
"index": 2116,
"need_tools_kwargs": true,
"question": "Let $P(x)=x^2+bx+c$ . Suppose $P(P(1))=P(P(-2))=0$ and $P(1)\\neq P(-2)$ . Then $P(0)=$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two congruent 30-60-90 triangles are placed such that one triangle is translated 2 units vertically upwards, while their hypotenuses originally coincide when not translated. The hypotenuse of each triangle is 10. Calculate the area that is common to both triangles after one is translated.",
"role": "user"
}
] |
math
|
{
"ground_truth": "25\\sqrt{3}-10",
"style": "rule"
}
|
{
"index": 2117,
"need_tools_kwargs": true,
"question": "Two congruent 30-60-90 triangles are placed such that one triangle is translated 2 units vertically upwards, while their hypotenuses originally coincide when not translated. The hypotenuse of each triangle is 10. Calculate the area that is common to both triangles after one is translated.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 right triangle $ABC$, $\\angle C=90^{\\circ}$, and the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively, satisfying $a+b=cx$. The range of the real number $x$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1, \\sqrt {2}]",
"style": "rule"
}
|
{
"index": 2118,
"need_tools_kwargs": true,
"question": "In right triangle $ABC$, $\\angle C=90^{\\circ}$, and the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively, satisfying $a+b=cx$. The range of the real number $x$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "函数 \\( f(x)=2\\sin^2x-\\tan^2x \\) 的最大值为 \\( k - m\\sqrt{n} \\) 的形式，请给出 \\( k + m + n \\) 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 2119,
"need_tools_kwargs": true,
"question": "函数 \\( f(x)=2\\sin^2x-\\tan^2x \\) 的最大值为 \\( k - m\\sqrt{n} \\) 的形式，请给出 \\( k + m + n \\) 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On a straight line lie $100$ points and another point outside the line. What is the maximum number of isosceles triangles that can be formed using these $101$ points as vertices?",
"role": "user"
}
] |
math
|
{
"ground_truth": "50",
"style": "rule"
}
|
{
"index": 2120,
"need_tools_kwargs": true,
"question": "On a straight line lie $100$ points and another point outside the line. What is the maximum number of isosceles triangles that can be formed using these $101$ points as vertices?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jackie and Phil each have two fair coins and a third coin that comes up heads with probability $\\frac{3}{5}$. They each flip their three coins. Determine the probability that Jackie and Phil get the same number of heads, and express your answer as a sum of relatively prime numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "63 + 200 = 263",
"style": "rule"
}
|
{
"index": 2121,
"need_tools_kwargs": true,
"question": "Jackie and Phil each have two fair coins and a third coin that comes up heads with probability $\\frac{3}{5}$. They each flip their three coins. Determine the probability that Jackie and Phil get the same number of heads, and express your answer as a sum of relatively prime 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": "Are both directors of films If I'M Lucky (Film) and White And Unmarried from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2122,
"need_tools_kwargs": true,
"question": "Are both directors of films If I'M Lucky (Film) and White And Unmarried 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 smallest natural number $n$ greater than $2012$ such that the polynomial $f(x) =(x^6 + x^4)^n - x^{4n} - x^6$ is divisible by $g(x) = x^4 + x^2 + 1$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2015",
"style": "rule"
}
|
{
"index": 2123,
"need_tools_kwargs": true,
"question": "What is the smallest natural number $n$ greater than $2012$ such that the polynomial $f(x) =(x^6 + x^4)^n - x^{4n} - x^6$ is divisible by $g(x) = x^4 + x^2 + 1$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do Abdessadeq Cheqara and Albert Lilar have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2124,
"need_tools_kwargs": true,
"question": "Do Abdessadeq Cheqara and Albert Lilar have the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is older, Edward Boscawen or John Collins Covell?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Edward Boscawen",
"style": "rule"
}
|
{
"index": 2125,
"need_tools_kwargs": true,
"question": "Who is older, Edward Boscawen or John Collins Covell?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Odoardo Farnese, Hereditary Prince Of Parma's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "11 December 1694",
"style": "rule"
}
|
{
"index": 2126,
"need_tools_kwargs": true,
"question": "What is the date of death of Odoardo Farnese, Hereditary Prince Of Parma'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": "Adam’s wardrobe is too crowded so he decides to donate some of his clothes to a charity shop. He takes out some pairs of pants, 4 jumpers, 4 pajama sets (top and bottom), and 20 t-shirts, then asks his friends if they have anything they want to donate. 3 of his friends donate the same amount of clothing as Adam each. Then he takes another look over his clothing and decides that he actually wants to keep half of his clothes. In total, 126 articles of clothing are being donated. How many pairs of pants did Adam initially take out?",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 2127,
"need_tools_kwargs": true,
"question": "Adam’s wardrobe is too crowded so he decides to donate some of his clothes to a charity shop. He takes out some pairs of pants, 4 jumpers, 4 pajama sets (top and bottom), and 20 t-shirts, then asks his friends if they have anything they want to donate. 3 of his friends donate the same amount of clothing as Adam each. Then he takes another look over his clothing and decides that he actually wants to keep half of his clothes. In total, 126 articles of clothing are being donated. How many pairs of pants did Adam initially take out?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film Scary Stories To Tell In The Dark (Film) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Norwegian",
"style": "rule"
}
|
{
"index": 2128,
"need_tools_kwargs": true,
"question": "Which country the director of film Scary Stories To Tell In The Dark (Film) is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did the composer of song I Don'T Wanna Be A Soldier Mama die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "shot",
"style": "rule"
}
|
{
"index": 2129,
"need_tools_kwargs": true,
"question": "Why did the composer of song I Don'T Wanna Be A Soldier Mama die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was a lead composer for the \"bel canto\" opera style, Gustave Charpentier or Gaetano Donizetti?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Donizetti was a leading composer of the \"bel canto\" opera style during the first half of the nineteenth century.",
"style": "rule"
}
|
{
"index": 2130,
"need_tools_kwargs": true,
"question": "Who was a lead composer for the \"bel canto\" opera style, Gustave Charpentier or Gaetano Donizetti?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "在三棱锥 $P-A B C$ 中, 若 $A B, A C, A P$ 两两互相垂直，且 $A B+A C=A P$，则 $\\angle A P B+\\angle B P C+\\angle C P A$ 的大小是 $x^\\circ$。求 $x$ 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "90",
"style": "rule"
}
|
{
"index": 2131,
"need_tools_kwargs": true,
"question": "在三棱锥 $P-A B C$ 中, 若 $A B, A C, A P$ 两两互相垂直，且 $A B+A C=A P$，则 $\\angle A P B+\\angle B P C+\\angle C P A$ 的大小是 $x^\\circ$。求 $x$ 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 plays more football positions, Christian Benavente or Ronaldinho?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "He played mostly as an attacking midfielder, but was also deployed as a forward or a winger.",
"style": "rule"
}
|
{
"index": 2132,
"need_tools_kwargs": true,
"question": "Who plays more football positions, Christian Benavente or Ronaldinho?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $a \\in \\mathbb{R}$, the function $f(x) = ax^3 - 3x^2$, and $x = 2$ is an extreme point of the function $y = f(x)$.\n\n1. Find the value of $a$.\n2. Find the extreme values of the function $f(x)$ in the interval $[-1, 5]$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "50",
"style": "rule"
}
|
{
"index": 2133,
"need_tools_kwargs": true,
"question": "Given $a \\in \\mathbb{R}$, the function $f(x) = ax^3 - 3x^2$, and $x = 2$ is an extreme point of the function $y = f(x)$.\n\n1. Find the value of $a$.\n2. Find the extreme values of the function $f(x)$ in the interval $[-1, 5]$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "PUMaCDonalds, a newly-opened fast food restaurant, has 5 menu items. If the first 4 customers each choose one menu item at random, what is the probability that the 4th customer orders a previously unordered item? Express the probability as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "189",
"style": "rule"
}
|
{
"index": 2134,
"need_tools_kwargs": true,
"question": "PUMaCDonalds, a newly-opened fast food restaurant, has 5 menu items. If the first 4 customers each choose one menu item at random, what is the probability that the 4th customer orders a previously unordered item? Express the probability as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in the opposite direction takes 3 seconds to pass her. The goods train has a certain length, and its speed is 142.986561075114 kmph. What is the length of the goods train in meters?",
"role": "user"
}
] |
math
|
{
"ground_truth": "38.932",
"style": "rule"
}
|
{
"index": 2135,
"need_tools_kwargs": true,
"question": "A woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in the opposite direction takes 3 seconds to pass her. The goods train has a certain length, and its speed is 142.986561075114 kmph. What is the length of the goods train in meters?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Hindi singer originally sang the song \"Har Kisi Ko\"? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Manhar Udhas",
"style": "rule"
}
|
{
"index": 2136,
"need_tools_kwargs": true,
"question": "What Hindi singer originally sang the song \"Har Kisi Ko\"? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 center of the circle passing through the midpoints of the sides of an isosceles triangle $ABC$ lies on the circumcircle of triangle $ABC$. If the larger angle of triangle $ABC$ is $\\alpha^\\circ$ and the smaller one is $\\beta^\\circ$, then what is the value of $\\alpha - \\beta$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "90",
"style": "rule"
}
|
{
"index": 2137,
"need_tools_kwargs": true,
"question": "The center of the circle passing through the midpoints of the sides of an isosceles triangle $ABC$ lies on the circumcircle of triangle $ABC$. If the larger angle of triangle $ABC$ is $\\alpha^\\circ$ and the smaller one is $\\beta^\\circ$, then what is the value of $\\alpha - \\beta$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Archives and Artifacts is a box set by a band that has released how many studio albums?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "eight",
"style": "rule"
}
|
{
"index": 2138,
"need_tools_kwargs": true,
"question": "Archives and Artifacts is a box set by a band that has released how many studio albums?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Anička and Blanka each wrote down a two-digit number that started with a seven. The girls chose different numbers. Then, each inserted a zero between the two digits, resulting in a three-digit number. From this three-digit number, each subtracted their original two-digit number. Determine the difference between their results.",
"role": "user"
}
] |
math
|
{
"ground_truth": "630",
"style": "rule"
}
|
{
"index": 2139,
"need_tools_kwargs": true,
"question": "Anička and Blanka each wrote down a two-digit number that started with a seven. The girls chose different numbers. Then, each inserted a zero between the two digits, resulting in a three-digit number. From this three-digit number, each subtracted their original two-digit number. Determine the difference between their results.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integer \\( N \\) is called a \"magic number\" if, when \\( N \\) is appended to the right of any positive integer (for example, appending 21 to the right of 35 to get 3521), the resulting new number is always divisible by \\( N \\). How many \"magic numbers\" are there among the positive integers less than 600?",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 2140,
"need_tools_kwargs": true,
"question": "A positive integer \\( N \\) is called a \"magic number\" if, when \\( N \\) is appended to the right of any positive integer (for example, appending 21 to the right of 35 to get 3521), the resulting new number is always divisible by \\( N \\). How many \"magic numbers\" are there among the positive integers less than 600?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How much money has been given away by the Irish-American businessman who assisted Professor Perry Bartlett establish the Queensland Brain Institute?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "more than $8 billion",
"style": "rule"
}
|
{
"index": 2141,
"need_tools_kwargs": true,
"question": "How much money has been given away by the Irish-American businessman who assisted Professor Perry Bartlett establish the Queensland Brain Institute?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The average of the data set $7$, $5$, $-2$, $5$, $10$ is ____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 2142,
"need_tools_kwargs": true,
"question": "The average of the data set $7$, $5$, $-2$, $5$, $10$ 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": "Let \\(ABC\\) be a non-degenerate triangle and \\(I\\) the center of its incircle. Suppose that \\(\\angle A I B = \\angle C I A\\) and \\(\\angle I C A = 2 \\angle I A C\\). What is the value of \\(\\angle A B C\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 2143,
"need_tools_kwargs": true,
"question": "Let \\(ABC\\) be a non-degenerate triangle and \\(I\\) the center of its incircle. Suppose that \\(\\angle A I B = \\angle C I A\\) and \\(\\angle I C A = 2 \\angle I A C\\). What is the value of \\(\\angle A B C\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "100 \\times 19.98 \\times 1.998 \\times 1000=",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1998)^2",
"style": "rule"
}
|
{
"index": 2144,
"need_tools_kwargs": true,
"question": "100 \\times 19.98 \\times 1.998 \\times 1000=",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There is a group composed of six women and four men planning a meeting. They are to sit in a row with women on indistinguishable rocking chairs and men on indistinguishable stools. The chairs and stools must be arranged so that no two stools or two rocking chairs are next to each other. How many distinct ways can they arrange the six chairs and four stools for the meeting?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\binom{4}{2} = 6",
"style": "rule"
}
|
{
"index": 2145,
"need_tools_kwargs": true,
"question": "There is a group composed of six women and four men planning a meeting. They are to sit in a row with women on indistinguishable rocking chairs and men on indistinguishable stools. The chairs and stools must be arranged so that no two stools or two rocking chairs are next to each other. How many distinct ways can they arrange the six chairs and four stools for the meeting?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "All natural numbers are divided into \"good\" and \"bad\" based on the following rules:\n\na) From any \"bad\" number, you can subtract some natural number that does not exceed half of it in such a way that the resulting difference becomes \"good\".\n\nb) From a \"good\" number, you cannot subtract any number that does not exceed half of it in such a way that it remains \"good\".\n\nIt is known that the number 1 is \"good\". Find the closest \"good\" number to 2015.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2047",
"style": "rule"
}
|
{
"index": 2146,
"need_tools_kwargs": true,
"question": "All natural numbers are divided into \"good\" and \"bad\" based on the following rules:\n\na) From any \"bad\" number, you can subtract some natural number that does not exceed half of it in such a way that the resulting difference becomes \"good\".\n\nb) From a \"good\" number, you cannot subtract any number that does not exceed half of it in such a way that it remains \"good\".\n\nIt is known that the number 1 is \"good\". Find the closest \"good\" number to 2015.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who was born later, Eddie and the Cruisers II: Eddie Lives! or O Noviço Rebelde?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "O Noviço Rebelde",
"style": "rule"
}
|
{
"index": 2147,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Eddie and the Cruisers II: Eddie Lives! or O Noviço Rebelde?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Observe the characteristics and results of the following expressions, and explore the patterns:<br/>$\\sqrt{1×3+1}=\\sqrt{4}=2$,<br/>$\\sqrt{2×4+1}=\\sqrt{9}=3$,<br/>$\\sqrt{3×5+1}=\\sqrt{16}=4$,<br/>$\\sqrt{4×6+1}=\\sqrt{25}=5$.<br/>$(1)$ By observing the pattern of the expressions, calculate $\\sqrt{5×7+1}=$______,$\\sqrt{26×28+1}=$______；<br/>$(2)$ Express the pattern of the above expressions using an algebraic expression containing a positive integer $n$ as ______；<br/>$(3)$ Calculate:$\\sqrt{3×5+1}-\\sqrt{5×7+1}+\\sqrt{7×9+1}-\\sqrt{9×11+1}+⋯-\\sqrt{2021×2023+1}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1010",
"style": "rule"
}
|
{
"index": 2148,
"need_tools_kwargs": true,
"question": "Observe the characteristics and results of the following expressions, and explore the patterns:<br/>$\\sqrt{1×3+1}=\\sqrt{4}=2$,<br/>$\\sqrt{2×4+1}=\\sqrt{9}=3$,<br/>$\\sqrt{3×5+1}=\\sqrt{16}=4$,<br/>$\\sqrt{4×6+1}=\\sqrt{25}=5$.<br/>$(1)$ By observing the pattern of the expressions, calculate $\\sqrt{5×7+1}=$______,$\\sqrt{26×28+1}=$______；<br/>$(2)$ Express the pattern of the above expressions using an algebraic expression containing a positive integer $n$ as ______；<br/>$(3)$ Calculate:$\\sqrt{3×5+1}-\\sqrt{5×7+1}+\\sqrt{7×9+1}-\\sqrt{9×11+1}+⋯-\\sqrt{2021×2023+1}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "(a) Prove that if $n$ is an integer such that $n \\geq 4011^2$ then there exists an integer $l$ such that \\[ n < l^2 < (1 + \\frac{1}{{2005}})n . \\]\n\n(b) Find the smallest positive integer $M$ for which whenever an integer $n$ is such that $n \\geq M$, then there exists an integer $l$ such that \\[ n < l^2 < (1 + \\frac{1}{{2005}})n . \\] The original answer is in the form $k^2 + 1$. Please find the value of this expression.",
"role": "user"
}
] |
math
|
{
"ground_truth": "16080101",
"style": "rule"
}
|
{
"index": 2149,
"need_tools_kwargs": true,
"question": "(a) Prove that if $n$ is an integer such that $n \\geq 4011^2$ then there exists an integer $l$ such that \\[ n < l^2 < (1 + \\frac{1}{{2005}})n . \\]\n\n(b) Find the smallest positive integer $M$ for which whenever an integer $n$ is such that $n \\geq M$, then there exists an integer $l$ such that \\[ n < l^2 < (1 + \\frac{1}{{2005}})n . \\] The original answer is in the form $k^2 + 1$. Please find the value of this expression.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There were cards with the digits from 1 to 9 (a total of 9 cards) on the table. Katya selected four cards such that the product of the digits on two of them was equal to the product of the digits on the other two. Then Anton took one more card from the table. As a result, the cards left on the table were 1, 4, 5, and 8. Which digit was on the card that Anton took?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 2150,
"need_tools_kwargs": true,
"question": "There were cards with the digits from 1 to 9 (a total of 9 cards) on the table. Katya selected four cards such that the product of the digits on two of them was equal to the product of the digits on the other two. Then Anton took one more card from the table. As a result, the cards left on the table were 1, 4, 5, and 8. Which digit was on the card that Anton took?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Žilinėliai and Denderhoutem both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2151,
"need_tools_kwargs": true,
"question": "Are Žilinėliai and Denderhoutem both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine how many nonzero complex numbers \\( z \\) exist such that the points \\( 0, z, \\) and \\( z^3 \\) in the complex plane form an equilateral triangle, given that \\( |z| = 2 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 2152,
"need_tools_kwargs": true,
"question": "Determine how many nonzero complex numbers \\( z \\) exist such that the points \\( 0, z, \\) and \\( z^3 \\) in the complex plane form an equilateral triangle, given that \\( |z| = 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": "What is the nationality of the person who played the protagonist in \"Mind Games\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Irish",
"style": "rule"
}
|
{
"index": 2153,
"need_tools_kwargs": true,
"question": "What is the nationality of the person who played the protagonist in \"Mind Games\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the proposition p: For all $x \\in \\mathbb{R}$, $x^2+x+1 \\geq 0$, then the proposition $\\neg P$ is: .",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\exists x \\in \\mathbb{R}, x^2+x+1 < 0",
"style": "rule"
}
|
{
"index": 2154,
"need_tools_kwargs": true,
"question": "Given the proposition p: For all $x \\in \\mathbb{R}$, $x^2+x+1 \\geq 0$, then the proposition $\\neg P$ 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": "If $f(x)= \\frac {1}{2^{x}-1}+a$ is an odd function, then $a=$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac {1}{2}",
"style": "rule"
}
|
{
"index": 2155,
"need_tools_kwargs": true,
"question": "If $f(x)= \\frac {1}{2^{x}-1}+a$ is an odd function, then $a=$ \\_\\_\\_\\_\\_\\_.",
"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": "Who was the founding owner of the Pittsburgh Steelers whose son spearheaded a requirement known as the \"Rooney Rule?\"",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Arthur Joseph Rooney Sr.",
"style": "rule"
}
|
{
"index": 2156,
"need_tools_kwargs": true,
"question": "Who was the founding owner of the Pittsburgh Steelers whose son spearheaded a requirement known as the \"Rooney Rule?\"",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There is a jar containing $m$ white balls and $n$ black balls $(m > n)$. Balls are drawn one by one without replacement. If at some point during the drawing process, the number of white balls drawn equals the number of black balls drawn, this is called a coincidence. Find the probability of having at least one coincidence.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2n}{m + n}",
"style": "rule"
}
|
{
"index": 2157,
"need_tools_kwargs": true,
"question": "There is a jar containing $m$ white balls and $n$ black balls $(m > n)$. Balls are drawn one by one without replacement. If at some point during the drawing process, the number of white balls drawn equals the number of black balls drawn, this is called a coincidence. Find the probability of having at least one coincidence.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jadey Duffield is currently filming with a British-American film and stage actress who made her professional debut in a 2001 London production of the play \"The Royal Family\", in what film did the British-American actress spear two years after her debut?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Boudica (Warrior Queen)",
"style": "rule"
}
|
{
"index": 2158,
"need_tools_kwargs": true,
"question": "Jadey Duffield is currently filming with a British-American film and stage actress who made her professional debut in a 2001 London production of the play \"The Royal Family\", in what film did the British-American actress spear two years after her debut?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the child of the director of film Bhaaryaye Aavashyamundu?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "K. Jayakumar",
"style": "rule"
}
|
{
"index": 2159,
"need_tools_kwargs": true,
"question": "Who is the child of the director of film Bhaaryaye Aavashyamundu?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 all sequences $(x_1,x_2,\\cdots,x_{2011})$ of positive integers such that for every positive integer $n$ there is an integer $a$ with $$x_1^n+2x_2^n+\\cdots+2011x_{2011}^n=a^{n+1}+1.$$ Please provide the value of $x_1 + x_2 + \\cdots + x_{2011}$ for the sequence that satisfies the condition.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2011",
"style": "rule"
}
|
{
"index": 2160,
"need_tools_kwargs": true,
"question": "Determine all sequences $(x_1,x_2,\\cdots,x_{2011})$ of positive integers such that for every positive integer $n$ there is an integer $a$ with $$x_1^n+2x_2^n+\\cdots+2011x_{2011}^n=a^{n+1}+1.$$ Please provide the value of $x_1 + x_2 + \\cdots + x_{2011}$ for the sequence that satisfies the condition.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Joan bought some toy cars, a skateboard for $4.88, and got toy trucks for $5.86. She spent $14.55 on pants. In total, Joan spent $25.62 on toys. How much did she spend on toy cars?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$14.88",
"style": "rule"
}
|
{
"index": 2161,
"need_tools_kwargs": true,
"question": "Joan bought some toy cars, a skateboard for $4.88, and got toy trucks for $5.86. She spent $14.55 on pants. In total, Joan spent $25.62 on toys. How much did she spend on toy cars?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Name the enzyme with an enzyme commission number of 4.1.1.65.",
"role": "user"
}
] |
qa
|
{
"ground_truth": "phosphatidylserine decarboxylase",
"style": "rule"
}
|
{
"index": 2162,
"need_tools_kwargs": true,
"question": "Name the enzyme with an enzyme commission number of 4.1.1.65.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 episode number is this episode of The Simpsons in the seventh season, ariring May 19, 1996, in which Shinin' On was the title song?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24th",
"style": "rule"
}
|
{
"index": 2163,
"need_tools_kwargs": true,
"question": "What episode number is this episode of The Simpsons in the seventh season, ariring May 19, 1996, in which Shinin' On was the title song?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Simplify the following expression: $(9x^9+7x^8+4x^7) + (x^{11}+x^9+2x^7+3x^3+5x+8).$ Express your answer as a polynomial with the degrees of the terms in decreasing order.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x^{11}+10x^9+7x^8+6x^7+3x^3+5x+8",
"style": "rule"
}
|
{
"index": 2164,
"need_tools_kwargs": true,
"question": "Simplify the following expression: $(9x^9+7x^8+4x^7) + (x^{11}+x^9+2x^7+3x^3+5x+8).$ Express your answer as a polynomial with the degrees of the terms in decreasing order.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actor of the title character in the most expensive European and independent film ever made also played which character in 2014's The Amazing Spider-Man 2?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Harry Osborn",
"style": "rule"
}
|
{
"index": 2165,
"need_tools_kwargs": true,
"question": "The actor of the title character in the most expensive European and independent film ever made also played which character in 2014's The Amazing Spider-Man 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": "Noel King was appointed interim senior manager after the resignation of a footballer who participated in what FIFA World Cup?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1962",
"style": "rule"
}
|
{
"index": 2166,
"need_tools_kwargs": true,
"question": "Noel King was appointed interim senior manager after the resignation of a footballer who participated in what FIFA World Cup?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 birth of the performer of song Titanic (Falco Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "19 February 1957",
"style": "rule"
}
|
{
"index": 2167,
"need_tools_kwargs": true,
"question": "What is the date of birth of the performer of song Titanic (Falco Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $p = \\sqrt{\\log a}$ and $q = \\sqrt{\\log b}$ are integers, and $a = 10^{p^2}$, $b = 10^{q^2}$, find $ab$ if the following equation holds:\n\\[ 2p + 2q + \\frac{\\log a}{2} + \\frac{\\log b}{2} + p \\cdot q = 200. \\]\nA. $10^{196}$\nB. $10^{225}$\nC. $10^{256}$\nD. $10^{324}$\nE. $10^{400}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "10^{324}",
"style": "rule"
}
|
{
"index": 2168,
"need_tools_kwargs": true,
"question": "Given that $p = \\sqrt{\\log a}$ and $q = \\sqrt{\\log b}$ are integers, and $a = 10^{p^2}$, $b = 10^{q^2}$, find $ab$ if the following equation holds:\n\\[ 2p + 2q + \\frac{\\log a}{2} + \\frac{\\log b}{2} + p \\cdot q = 200. \\]\nA. $10^{196}$\nB. $10^{225}$\nC. $10^{256}$\nD. $10^{324}$\nE. $10^{400}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the director of film Mr. Moto Takes A Chance born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 13, 1903",
"style": "rule"
}
|
{
"index": 2169,
"need_tools_kwargs": true,
"question": "When was the director of film Mr. Moto Takes A Chance 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": "Matty Dixon plays for the league that is which tier of the English football league system?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "sixth overall tier",
"style": "rule"
}
|
{
"index": 2170,
"need_tools_kwargs": true,
"question": "Matty Dixon plays for the league that is which tier of the English football league system?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the smallest integer satisfying the following conditions:\n\n$\\bullet$ I. The sum of the squares of its digits is $85$.\n\n$\\bullet$ II. Each digit is larger than the one on its left.\n\nWhat is the product of the digits of this integer?",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 2171,
"need_tools_kwargs": true,
"question": "Find the smallest integer satisfying the following conditions:\n\n$\\bullet$ I. The sum of the squares of its digits is $85$.\n\n$\\bullet$ II. Each digit is larger than the one on its left.\n\nWhat is the product of the digits of this 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": "The polynomials $(x - 2)^4 - (x - 2) = 0$ and $x^2 - kx + k = 0$ have two roots in common. Find the value of $k.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 2172,
"need_tools_kwargs": true,
"question": "The polynomials $(x - 2)^4 - (x - 2) = 0$ and $x^2 - kx + k = 0$ have two roots in common. Find the value of $k.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the father of Chris Orbach born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "New York",
"style": "rule"
}
|
{
"index": 2173,
"need_tools_kwargs": true,
"question": "Where was the father of Chris Orbach 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": "There are 50 apples and 40 oranges in the cafeteria. If an apple costs a certain amount and an orange costs $0.50, the cafeteria earns $49 for apples and oranges when there are only 10 apples and 6 oranges left. How much does an apple cost?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$0.80",
"style": "rule"
}
|
{
"index": 2174,
"need_tools_kwargs": true,
"question": "There are 50 apples and 40 oranges in the cafeteria. If an apple costs a certain amount and an orange costs $0.50, the cafeteria earns $49 for apples and oranges when there are only 10 apples and 6 oranges left. How much does an apple cost?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知过点 $(0,1)$ 的直线 $l$ 与曲线 $C: y=x+\\frac{1}{x}(x>0)$ 交于两个不同的点 $M$和 $N$. 求曲线 $C$ 在点 $M 、 N$ 处切线的交点轨迹。原始答案的形式为x=2, y \\in(a, \\frac{b}{c})，请给出a+b+c的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 2175,
"need_tools_kwargs": true,
"question": "已知过点 $(0,1)$ 的直线 $l$ 与曲线 $C: y=x+\\frac{1}{x}(x>0)$ 交于两个不同的点 $M$和 $N$. 求曲线 $C$ 在点 $M 、 N$ 处切线的交点轨迹。原始答案的形式为x=2, y \\in(a, \\frac{b}{c})，请给出a+b+c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": "When was the game released in which players gamble casino chips on various possible random outcomes or combinations of outcomes?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1989",
"style": "rule"
}
|
{
"index": 2176,
"need_tools_kwargs": true,
"question": "When was the game released in which players gamble casino chips on various possible random outcomes or combinations of outcomes?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "5 men are equal to as many women as are equal to 7 boys. All of them earn Rs. 90 only. What are men's wages?",
"role": "user"
}
] |
math
|
{
"ground_truth": "37.5",
"style": "rule"
}
|
{
"index": 2177,
"need_tools_kwargs": true,
"question": "5 men are equal to as many women as are equal to 7 boys. All of them earn Rs. 90 only. What are men's wages?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Beyond Our Ken (1958–1964) is a radio comedy programme, the predecessor to \"Round the Horne\" (1965–1968), both programmes starred which English actor, whose most notable role was in the 1960s BBC radio?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hugh William Paddick",
"style": "rule"
}
|
{
"index": 2178,
"need_tools_kwargs": true,
"question": "Beyond Our Ken (1958–1964) is a radio comedy programme, the predecessor to \"Round the Horne\" (1965–1968), both programmes starred which English actor, whose most notable role was in the 1960s BBC radio?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Tailspin: Behind The Korean Airliner Tragedy and I'Ll Name The Murderer from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2179,
"need_tools_kwargs": true,
"question": "Are both Tailspin: Behind The Korean Airliner Tragedy and I'Ll Name The Murderer 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": "Are both director of film The Lady of the Camellias (1915 Serena film) and director of film Entourage (film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2180,
"need_tools_kwargs": true,
"question": "Are both director of film The Lady of the Camellias (1915 Serena film) and director of film Entourage (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": "Does the TechCrunch article claim that OpenAI holds a leadership position in generative AI similar to how the Polygon article regards Abbas Kiarostami's status in the field of directing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yes",
"style": "rule"
}
|
{
"index": 2181,
"need_tools_kwargs": true,
"question": "Does the TechCrunch article claim that OpenAI holds a leadership position in generative AI similar to how the Polygon article regards Abbas Kiarostami's status in the field of directing?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 was released first, The Old Fritz or The Devil'S Game?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Old Fritz",
"style": "rule"
}
|
{
"index": 2182,
"need_tools_kwargs": true,
"question": "Which film was released first, The Old Fritz or The Devil'S Game?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Mélinée Manouchian's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 February 1944",
"style": "rule"
}
|
{
"index": 2183,
"need_tools_kwargs": true,
"question": "What is the date of death of Mélinée Manouchian's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Shelly writes down a vector \\( v = (a, b, c, d) \\), where \\( 0 < a < b < c < d \\) are integers. Let \\( \\sigma(v) \\) denote the set of 24 vectors whose coordinates are \\( a, b, c \\), and \\( d \\) in some order. For instance, \\( \\sigma(v) \\) contains \\( (b, c, d, a) \\). Shelly notes that there are 3 vectors in \\( \\sigma(v) \\) whose sum is of the form \\( (s, s, s, s) \\) for some \\( s \\). What is the smallest possible value of \\( d \\) ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 2184,
"need_tools_kwargs": true,
"question": "Shelly writes down a vector \\( v = (a, b, c, d) \\), where \\( 0 < a < b < c < d \\) are integers. Let \\( \\sigma(v) \\) denote the set of 24 vectors whose coordinates are \\( a, b, c \\), and \\( d \\) in some order. For instance, \\( \\sigma(v) \\) contains \\( (b, c, d, a) \\). Shelly notes that there are 3 vectors in \\( \\sigma(v) \\) whose sum is of the form \\( (s, s, s, s) \\) for some \\( s \\). What is the smallest possible value of \\( d \\) ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A Dry White Season was revised by the playwright of what nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "English",
"style": "rule"
}
|
{
"index": 2185,
"need_tools_kwargs": true,
"question": "A Dry White Season was revised by the playwright of what 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": "Who are owners of the company that produces the show Wedi 3?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "its senior management and private equity company Vitruvian Partners",
"style": "rule"
}
|
{
"index": 2186,
"need_tools_kwargs": true,
"question": "Who are owners of the company that produces the show Wedi 3?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the 2016 estimated population of the city DigHayZoose is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "481,420",
"style": "rule"
}
|
{
"index": 2187,
"need_tools_kwargs": true,
"question": "What was the 2016 estimated population of the city DigHayZoose is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of eight-digit numbers for which the product of the digits equals 7000. The answer must be given as an integer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5600",
"style": "rule"
}
|
{
"index": 2188,
"need_tools_kwargs": true,
"question": "Find the number of eight-digit numbers for which the product of the digits equals 7000. The answer must be given as an 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": "When Robert Quiroga was the International Boxing Federation champion, how much did he weigh?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "from 112 lb and up to 115 lb",
"style": "rule"
}
|
{
"index": 2189,
"need_tools_kwargs": true,
"question": "When Robert Quiroga was the International Boxing Federation champion, how much did he weigh?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Leslie Sarony and Juan Álvarez of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2190,
"need_tools_kwargs": true,
"question": "Are Leslie Sarony and Juan Álvarez of the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the hyperbola $\\frac{x^{2}}{a^{2}} - \\frac{y^{2}}{b^{2}} = 1 (a > 0, b > 0)$ with one of its asymptotic lines being $3x + 2y = 0$, determine its eccentricity equal to $(\\quad)$.\n\nA. $\\frac{\\sqrt{5}}{2}$\nB. $\\frac{\\sqrt{5}}{3}$\nC. $\\frac{\\sqrt{13}}{2}$\nD. $\\frac{\\sqrt{13}}{3}$",
"role": "user"
}
] |
math
|
{
"ground_truth": " \\frac{\\sqrt{13}}{2} ",
"style": "rule"
}
|
{
"index": 2191,
"need_tools_kwargs": true,
"question": "Given the hyperbola $\\frac{x^{2}}{a^{2}} - \\frac{y^{2}}{b^{2}} = 1 (a > 0, b > 0)$ with one of its asymptotic lines being $3x + 2y = 0$, determine its eccentricity equal to $(\\quad)$.\n\nA. $\\frac{\\sqrt{5}}{2}$\nB. $\\frac{\\sqrt{5}}{3}$\nC. $\\frac{\\sqrt{13}}{2}$\nD. $\\frac{\\sqrt{13}}{3}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the derivative of the specified order.\n\n$$\ny=\\left(x^{2}+3\\right) \\ln (x-3), \\quad y^{(IV)}=?\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": " \\frac{-2x^2 + 24x -126}{(x-3)^4} ",
"style": "rule"
}
|
{
"index": 2192,
"need_tools_kwargs": true,
"question": "Find the derivative of the specified order.\n\n$$\ny=\\left(x^{2}+3\\right) \\ln (x-3), \\quad y^{(IV)}=?\n$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the diagram, $\\triangle ABE$, $\\triangle BCE$ and $\\triangle CDE$ are in a configuration where $\\triangle ABE$ and $\\triangle BCE$ are right-angled at $E$ with $\\angle AEB = \\angle BEC = 60^\\circ$ and $\\triangle CDE$ is an equilateral triangle. Given that $AE = 20\\sqrt{3}$, find the perimeter of quadrilateral $ABCD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "P = 45 + 30\\sqrt{3} + 15\\sqrt{2}",
"style": "rule"
}
|
{
"index": 2193,
"need_tools_kwargs": true,
"question": "In the diagram, $\\triangle ABE$, $\\triangle BCE$ and $\\triangle CDE$ are in a configuration where $\\triangle ABE$ and $\\triangle BCE$ are right-angled at $E$ with $\\angle AEB = \\angle BEC = 60^\\circ$ and $\\triangle CDE$ is an equilateral triangle. Given that $AE = 20\\sqrt{3}$, find the perimeter of quadrilateral $ABCD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute the least positive value of $t$ such that\n\\[\\arcsin (\\sin \\alpha), \\ \\arcsin (\\sin 2 \\alpha), \\ \\arcsin (\\sin 7 \\alpha), \\ \\arcsin (\\sin t \\alpha)\\]is a geometric progression for some $\\alpha$ with $0 < \\alpha < \\frac{\\pi}{2}.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "9 - 4 \\sqrt{5}",
"style": "rule"
}
|
{
"index": 2194,
"need_tools_kwargs": true,
"question": "Compute the least positive value of $t$ such that\n\\[\\arcsin (\\sin \\alpha), \\ \\arcsin (\\sin 2 \\alpha), \\ \\arcsin (\\sin 7 \\alpha), \\ \\arcsin (\\sin t \\alpha)\\]is a geometric progression for some $\\alpha$ with $0 < \\alpha < \\frac{\\pi}{2}.$",
"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": "To complete the collection, we need to find the probability that among Semyon's 9 coupons, there are the 6 that Temyon is missing. The probability is given by\n\n$$\n\\frac{C_{6}^{6} \\cdot C_{11}^{3}}{C_{17}^{9}}=\\frac{3}{442} \\approx 0,007\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{442}",
"style": "rule"
}
|
{
"index": 2195,
"need_tools_kwargs": true,
"question": "To complete the collection, we need to find the probability that among Semyon's 9 coupons, there are the 6 that Temyon is missing. The probability is given by\n\n$$\n\\frac{C_{6}^{6} \\cdot C_{11}^{3}}{C_{17}^{9}}=\\frac{3}{442} \\approx 0,007\n$$",
"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 parallelogram \\(ABCD\\), a point \\(M\\) is taken on side \\(AB\\) such that \\(AB = 3AM\\). \\(N\\) is the intersection point of lines \\(AC\\) and \\(DM\\).\n\nFind the ratio of the area of triangle \\(AMN\\) to the area of the entire parallelogram.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{24}",
"style": "rule"
}
|
{
"index": 2196,
"need_tools_kwargs": true,
"question": "In parallelogram \\(ABCD\\), a point \\(M\\) is taken on side \\(AB\\) such that \\(AB = 3AM\\). \\(N\\) is the intersection point of lines \\(AC\\) and \\(DM\\).\n\nFind the ratio of the area of triangle \\(AMN\\) to the area of the entire parallelogram.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Here Comes Trouble (1948 film) and director of film Morgan and Destiny's Eleventeenth Date: The Zeppelin Zoo from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2197,
"need_tools_kwargs": true,
"question": "Are director of film Here Comes Trouble (1948 film) and director of film Morgan and Destiny's Eleventeenth Date: The Zeppelin Zoo 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": "Each vertex of a parallelogram also has integer coordinates. In the new setting, one vertex is at $(6,3)$, and its adjacent vertices are at $(9,7)$ and $(2,0)$. Given that all angles in the parallelogram are either $90^\\circ$ or not acute, find the sum of the perimeter $p$ and the area $a$ of this parallelogram.",
"role": "user"
}
] |
math
|
{
"ground_truth": "48",
"style": "rule"
}
|
{
"index": 2198,
"need_tools_kwargs": true,
"question": "Each vertex of a parallelogram also has integer coordinates. In the new setting, one vertex is at $(6,3)$, and its adjacent vertices are at $(9,7)$ and $(2,0)$. Given that all angles in the parallelogram are either $90^\\circ$ or not acute, find the sum of the perimeter $p$ and the area $a$ of this parallelogram.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\nSometimes, when subtracting fractions, you can subtract their numerators and add their denominators. For example:\n\n\\[\n\\frac{9}{6} - \\frac{25}{10} = \\frac{9 - 25}{6 + 10}, \\quad \\frac{8}{2} - \\frac{50}{5} = \\frac{8 - 50}{2 + 5}\n\\]\n\nFor which fractions is this possible?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{a}{c} = \\left( \\frac{b}{d} \\right)^2",
"style": "rule"
}
|
{
"index": 2199,
"need_tools_kwargs": true,
"question": "\nSometimes, when subtracting fractions, you can subtract their numerators and add their denominators. For example:\n\n\\[\n\\frac{9}{6} - \\frac{25}{10} = \\frac{9 - 25}{6 + 10}, \\quad \\frac{8}{2} - \\frac{50}{5} = \\frac{8 - 50}{2 + 5}\n\\]\n\nFor which fractions is this possible?",
"split": "train"
}
| null |
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