data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the performer of song One O'Clock Jump?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1200,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song One O'Clock Jump?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dan has $4. For a total of $3, he bought 10 candy bars, each one costing the same amount of money. How much money is left?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$1",
"style": "rule"
}
|
{
"index": 1201,
"need_tools_kwargs": true,
"question": "Dan has $4. For a total of $3, he bought 10 candy bars, each one costing the same amount of money. How much money is left?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How far away is the echoing wall from us if a word with $m=5$ syllables is echoed back to our ears $n=3$ seconds after being spoken. A person can pronounce two syllables per second. The speed of sound is $V=340 \\frac{\\mathrm{m}}{\\mathrm{sec}}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "935",
"style": "rule"
}
|
{
"index": 1202,
"need_tools_kwargs": true,
"question": "How far away is the echoing wall from us if a word with $m=5$ syllables is echoed back to our ears $n=3$ seconds after being spoken. A person can pronounce two syllables per second. The speed of sound is $V=340 \\frac{\\mathrm{m}}{\\mathrm{sec}}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 number of real numbers $t$ such that \\[ t = 50 \\sin(t - \\lfloor t \\rfloor). \\] Here, $\\lfloor \\cdot \\rfloor$ denotes the greatest integer function.",
"role": "user"
}
] |
math
|
{
"ground_truth": "42",
"style": "rule"
}
|
{
"index": 1203,
"need_tools_kwargs": true,
"question": "Compute the number of real numbers $t$ such that \\[ t = 50 \\sin(t - \\lfloor t \\rfloor). \\] Here, $\\lfloor \\cdot \\rfloor$ denotes the greatest integer function.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film whose director is younger, Tuset Street or Detective (1958 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tuset Street",
"style": "rule"
}
|
{
"index": 1204,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Tuset Street or Detective (1958 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": "The pilot and author of Highest Duty: My Search for What Really Matters was hired by which news station in 2011?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "CBS News",
"style": "rule"
}
|
{
"index": 1205,
"need_tools_kwargs": true,
"question": "The pilot and author of Highest Duty: My Search for What Really Matters was hired by which news station in 2011?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Divide the nine natural numbers from 1 to 9 into two groups such that the sum of the numbers in one group is 8 times the sum of the numbers in the other group. How many different ways are there to achieve this?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 1206,
"need_tools_kwargs": true,
"question": "Divide the nine natural numbers from 1 to 9 into two groups such that the sum of the numbers in one group is 8 times the sum of the numbers in the other group. How many different ways are there to achieve this?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is Victor Surdu's wife's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9 July 1946",
"style": "rule"
}
|
{
"index": 1207,
"need_tools_kwargs": true,
"question": "When is Victor Surdu's wife's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did Ruby Wright (Country Singer)'s mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 16, 2012",
"style": "rule"
}
|
{
"index": 1208,
"need_tools_kwargs": true,
"question": "When did Ruby Wright (Country Singer)'s mother die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In pentagon $ABCDE$, $BC=CD=DE=2$ units, $\\angle E$ is a right angle and $m \\angle B = m \\angle C = m \\angle D = 135^\\circ$. The length of segment $AE$ can be expressed in simplest radical form as $a+2\\sqrt{b}$ units. What is the value of $a+b$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 1209,
"need_tools_kwargs": true,
"question": "In pentagon $ABCDE$, $BC=CD=DE=2$ units, $\\angle E$ is a right angle and $m \\angle B = m \\angle C = m \\angle D = 135^\\circ$. The length of segment $AE$ can be expressed in simplest radical form as $a+2\\sqrt{b}$ units. What is the value of $a+b$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many numbers of the form $\\overline{a b c d a b c d}$ are divisible by 18769?",
"role": "user"
}
] |
math
|
{
"ground_truth": "65",
"style": "rule"
}
|
{
"index": 1210,
"need_tools_kwargs": true,
"question": "How many numbers of the form $\\overline{a b c d a b c d}$ are divisible by 18769?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all functions $f:\\mathbb{R}\\to\\mathbb{R}$ that satisfy the conditions\n$f( 1+ xy) - f( x+ y) = f( x) f( y)$ for all $x,y\\in\\mathbb{R}$\nand $f(-1)\\neq0.$ The original answer is in the form $f(x) = ax + b$. Please provide the value of $a + b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 1211,
"need_tools_kwargs": true,
"question": "Find all functions $f:\\mathbb{R}\\to\\mathbb{R}$ that satisfy the conditions\n$f( 1+ xy) - f( x+ y) = f( x) f( y)$ for all $x,y\\in\\mathbb{R}$\nand $f(-1)\\neq0.$ The original answer is in the form $f(x) = ax + b$. Please provide the value of $a + b$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a class, there are \\( n \\) boys and \\( n \\) girls (\\( n \\geq 3 \\)). They sat around a round table such that no two boys and no two girls sit next to each other. The teacher has \\( 2n \\) cards with the numbers \\( 1, 2, 3, \\ldots, 2n \\), each appearing exactly once. He distributes one card to each student in such a way that the number on any girl's card is greater than the number on any boy's card. Then each boy writes down the sum of the numbers on three cards: his own and those of the girls sitting next to him. For which values of \\( n \\) could all the \\( n \\) sums obtained be equal?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 1212,
"need_tools_kwargs": true,
"question": "In a class, there are \\( n \\) boys and \\( n \\) girls (\\( n \\geq 3 \\)). They sat around a round table such that no two boys and no two girls sit next to each other. The teacher has \\( 2n \\) cards with the numbers \\( 1, 2, 3, \\ldots, 2n \\), each appearing exactly once. He distributes one card to each student in such a way that the number on any girl's card is greater than the number on any boy's card. Then each boy writes down the sum of the numbers on three cards: his own and those of the girls sitting next to him. For which values of \\( n \\) could all the \\( n \\) sums obtained be equal?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born first, Comfort And Indifference or The Penny Pool?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Penny Pool",
"style": "rule"
}
|
{
"index": 1213,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Comfort And Indifference or The Penny Pool?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the sum\n\n$$\nS=\\frac{2013}{2 \\cdot 6}+\\frac{2013}{6 \\cdot 10}+\\frac{2013}{10 \\cdot 14}+\\ldots+\\frac{2013}{2010 \\cdot 2014}\n$$\n\nProvide the remainder when the even number nearest to the value of $S$ is divided by 5.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1214,
"need_tools_kwargs": true,
"question": "Calculate the sum\n\n$$\nS=\\frac{2013}{2 \\cdot 6}+\\frac{2013}{6 \\cdot 10}+\\frac{2013}{10 \\cdot 14}+\\ldots+\\frac{2013}{2010 \\cdot 2014}\n$$\n\nProvide the remainder when the even number nearest to the value of $S$ is divided by 5.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did the composer of film Alice (2005 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "falling",
"style": "rule"
}
|
{
"index": 1215,
"need_tools_kwargs": true,
"question": "Why did the composer of film Alice (2005 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "求最大的正实数 \\alpha，使得对于满足 a+b+c\\mid a^2+b^2+c^2 的不全相等的正整数 a,b,c，都有方程 (x+b)^2=(x+a)(x+c) 在区间 (0,\\alpha) 内没有解.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": "3",
"style": "rule"
}
|
{
"index": 1216,
"need_tools_kwargs": true,
"question": "求最大的正实数 \\alpha，使得对于满足 a+b+c\\mid a^2+b^2+c^2 的不全相等的正整数 a,b,c，都有方程 (x+b)^2=(x+a)(x+c) 在区间 (0,\\alpha) 内没有解.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 was the nationality of the WBA titleholder that Derrick Gainer lost to in a unanimous decision since his defeat to Juan Manuel Márquez?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Indonesian",
"style": "rule"
}
|
{
"index": 1217,
"need_tools_kwargs": true,
"question": "What was the nationality of the WBA titleholder that Derrick Gainer lost to in a unanimous decision since his defeat to Juan Manuel Márquez?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设正数列 $\\left\\{a_{n}\\right\\}$ 满足:\n$a_{1}=1+\\sqrt{2}$,\n$\\left(a_{n}-a_{n-1}\\right)\\left(a_{n}+a_{n-1}-2 \\sqrt{n}\\right)=2(n \\geqslant 2)$.\n求数列 $\\left\\{a_{n}\\right\\}$ 的通项公式。答案的格式为 $a_{n+1}=\\sqrt{k(n+1)}+\\sqrt{m(n+2)}$，请给出k和m的值之和。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1218,
"need_tools_kwargs": true,
"question": "设正数列 $\\left\\{a_{n}\\right\\}$ 满足:\n$a_{1}=1+\\sqrt{2}$,\n$\\left(a_{n}-a_{n-1}\\right)\\left(a_{n}+a_{n-1}-2 \\sqrt{n}\\right)=2(n \\geqslant 2)$.\n求数列 $\\left\\{a_{n}\\right\\}$ 的通项公式。答案的格式为 $a_{n+1}=\\sqrt{k(n+1)}+\\sqrt{m(n+2)}$，请给出k和m的值之和。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute\n\\[\n\\sum_{n = 2}^\\infty \\frac{6n^3 - 2n^2 - 2n + 2}{n^6 - n^5 + n^4 - n^3 + n^2 - n + 1}.\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 1219,
"need_tools_kwargs": true,
"question": "Compute\n\\[\n\\sum_{n = 2}^\\infty \\frac{6n^3 - 2n^2 - 2n + 2}{n^6 - n^5 + n^4 - n^3 + n^2 - n + 1}.\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": "5 Fingers included the James Mason character who was based on the secret agent for which group?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nazi Germany",
"style": "rule"
}
|
{
"index": 1220,
"need_tools_kwargs": true,
"question": "5 Fingers included the James Mason character who was based on the secret agent for which group?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Q) Did Daniel serve under Cyrus?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "serves the king and his successors with loyalty and ability until the time of the Persian conqueror Cyrus",
"style": "rule"
}
|
{
"index": 1221,
"need_tools_kwargs": true,
"question": "Q) Did Daniel serve under Cyrus?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which of both airports; Eugene Airport and Merle K. Smith Airport, is located farther from its closest city? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Merle K. (Mudhole) Smith Airport (IATA: CDV, ICAO: PACV, FAA LID: CDV) is a state owned, public use airport located 11 nautical miles (13 mi, 20 km) southeast of the central business district of Cordova",
"style": "rule"
}
|
{
"index": 1222,
"need_tools_kwargs": true,
"question": "Which of both airports; Eugene Airport and Merle K. Smith Airport, is located farther from its closest city? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the sequence $\\{na_n\\}$ with the sum of its first $n$ terms denoted as $S_n$, and $a_n=2^n$, find the smallest positive integer $n$ such that $S_n-na_{n+1}+50 < 0$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 1223,
"need_tools_kwargs": true,
"question": "Given the sequence $\\{na_n\\}$ with the sum of its first $n$ terms denoted as $S_n$, and $a_n=2^n$, find the smallest positive integer $n$ such that $S_n-na_{n+1}+50 < 0$.",
"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": "Are both Shadym and Borzu, Karrab located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1224,
"need_tools_kwargs": true,
"question": "Are both Shadym and Borzu, Karrab located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Oh, What A Night (1944 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1225,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Oh, What A Night (1944 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": "12. In a rectangle $ABCD$ with $AB = 8$ and $BC = 20$, let $P$ be a point on $AD$ such that $\\angle BPC = 90^\\circ$. If $r_1, r_2, r_3$ are the radii of the incircles of triangles $\\triangle APB$, $\\triangle BPC$, and $\\triangle CPD$, what is the value of $r_1 + r_2 + r_3$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 1226,
"need_tools_kwargs": true,
"question": "12. In a rectangle $ABCD$ with $AB = 8$ and $BC = 20$, let $P$ be a point on $AD$ such that $\\angle BPC = 90^\\circ$. If $r_1, r_2, r_3$ are the radii of the incircles of triangles $\\triangle APB$, $\\triangle BPC$, and $\\triangle CPD$, what is the value of $r_1 + r_2 + r_3$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Pineground Bridge formerly carried Depot Road over the Suncook River into a town with a population of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2,523",
"style": "rule"
}
|
{
"index": 1227,
"need_tools_kwargs": true,
"question": "The Pineground Bridge formerly carried Depot Road over the Suncook River into a town with a population of what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the differences in minutes studied per day from Monday to Sunday for Sasha and Asha as $15, -5, 25, 0, -15, 10, 20$, calculate how many more minutes per day, on average, did Sasha study than Asha over the week.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{50}{7}",
"style": "rule"
}
|
{
"index": 1228,
"need_tools_kwargs": true,
"question": "Given the differences in minutes studied per day from Monday to Sunday for Sasha and Asha as $15, -5, 25, 0, -15, 10, 20$, calculate how many more minutes per day, on average, did Sasha study than Asha over the week.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The function \\( f(x) \\) satisfies the equation \\( f(x+y) = f(x \\cdot y) \\) for any real numbers \\( x \\) and \\( y \\), and given \\( f\\left(-\\frac{1}{2}\\right) = -\\frac{1}{2} \\), find \\( f(2000) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 1229,
"need_tools_kwargs": true,
"question": "The function \\( f(x) \\) satisfies the equation \\( f(x+y) = f(x \\cdot y) \\) for any real numbers \\( x \\) and \\( y \\), and given \\( f\\left(-\\frac{1}{2}\\right) = -\\frac{1}{2} \\), find \\( f(2000) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 second oldest arena in continuous operation in the US also known as?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Expo",
"style": "rule"
}
|
{
"index": 1230,
"need_tools_kwargs": true,
"question": "What is the second oldest arena in continuous operation in the US also known as?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sixth season of Game of Thrones will be most likely be adapted by David Benioff and D.B. Weiss from which George R.R. Martin book?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Winds of Winter",
"style": "rule"
}
|
{
"index": 1231,
"need_tools_kwargs": true,
"question": "The sixth season of Game of Thrones will be most likely be adapted by David Benioff and D.B. Weiss from which George R.R. Martin book?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "William Henry Huddle painted official portraits of the states's chief executives, including an American folk hero who was commonly referred to in popular culture as what? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "King of the Wild Frontier",
"style": "rule"
}
|
{
"index": 1232,
"need_tools_kwargs": true,
"question": "William Henry Huddle painted official portraits of the states's chief executives, including an American folk hero who was commonly referred to in popular culture as 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": "Bob is building raised beds for his vegetable garden. Each bed is 2 feet high, 2 feet wide, and has a certain length. The sides are going to be built of 1-foot wide planks. Bob needs 50 8-foot long planks to construct 10 raised beds. What is the length of each raised bed?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 1233,
"need_tools_kwargs": true,
"question": "Bob is building raised beds for his vegetable garden. Each bed is 2 feet high, 2 feet wide, and has a certain length. The sides are going to be built of 1-foot wide planks. Bob needs 50 8-foot long planks to construct 10 raised beds. What is the length of each raised bed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Just Like A Woman (1939 Film) and Milarepa (1974 Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1234,
"need_tools_kwargs": true,
"question": "Are both directors of films Just Like A Woman (1939 Film) and Milarepa (1974 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": "In an international meeting with $n \\geq 3$ participants, 14 languages are spoken. The conditions are as follows:\n\n- Any group of 3 participants speaks at least one common language.\n- No language is spoken by more than half of the participants.\n\nDetermine the minimum value of $n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 1235,
"need_tools_kwargs": true,
"question": "In an international meeting with $n \\geq 3$ participants, 14 languages are spoken. The conditions are as follows:\n\n- Any group of 3 participants speaks at least one common language.\n- No language is spoken by more than half of the participants.\n\nDetermine the minimum value of $n$.",
"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": "What industry that comprises the technological and commercial institutions does Kimberly Brooks work in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "film industry",
"style": "rule"
}
|
{
"index": 1236,
"need_tools_kwargs": true,
"question": "What industry that comprises the technological and commercial institutions does Kimberly Brooks work in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 creator of The Merciful Knight is noted for creating mosaics in what century?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "19th",
"style": "rule"
}
|
{
"index": 1237,
"need_tools_kwargs": true,
"question": "The creator of The Merciful Knight is noted for creating mosaics in what century?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Mischievous Miss and Life (1999 film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1238,
"need_tools_kwargs": true,
"question": "Are both directors of films Mischievous Miss and Life (1999 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": "If 2 cards from a standard deck are selected randomly, what is the probability that either two kings or at least 1 ace occurs? (There are 4 Aces, 4 kings and 52 total cards in a standard deck.)The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 1239,
"need_tools_kwargs": true,
"question": "If 2 cards from a standard deck are selected randomly, what is the probability that either two kings or at least 1 ace occurs? (There are 4 Aces, 4 kings and 52 total cards in a standard deck.)The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the performer of song Don'T Let The Sun Catch You Cryin' die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "February 4, 1975",
"style": "rule"
}
|
{
"index": 1240,
"need_tools_kwargs": true,
"question": "When did the performer of song Don'T Let The Sun Catch You Cryin' 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": "In the interval $[-6,6]$, an element $x_{0}$ is randomly selected. If the tangent line to the parabola $x^{2}=4y$ at $x=x_{0}$ has an inclination angle of $\\alpha$, then the probability of $\\alpha \\in \\left[\\frac{\\pi}{4},\\frac{3\\pi}{4}\\right]$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{3}",
"style": "rule"
}
|
{
"index": 1241,
"need_tools_kwargs": true,
"question": "In the interval $[-6,6]$, an element $x_{0}$ is randomly selected. If the tangent line to the parabola $x^{2}=4y$ at $x=x_{0}$ has an inclination angle of $\\alpha$, then the probability of $\\alpha \\in \\left[\\frac{\\pi}{4},\\frac{3\\pi}{4}\\right]$ 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": "Patrick Cescau was the first combined Chief Executive of the manufacturing company that merged to become what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Unilever",
"style": "rule"
}
|
{
"index": 1242,
"need_tools_kwargs": true,
"question": "Patrick Cescau was the first combined Chief Executive of the manufacturing company that merged to become 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": "Given the function $f(x)=3x^{2}+2(k-1)x+k+5$.\n(1) Find the maximum value of the function $f(x)$ on $[0,3]$;\n(2) If the function $f(x)$ has zero points on $[0,3]$, find the range of the real number $k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-5\\leqslant k\\leqslant -2",
"style": "rule"
}
|
{
"index": 1243,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=3x^{2}+2(k-1)x+k+5$.\n(1) Find the maximum value of the function $f(x)$ on $[0,3]$;\n(2) If the function $f(x)$ has zero points on $[0,3]$, find the range of the real number $k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the diagram, \\(p, q, r, s\\), and \\(t\\) represent five consecutive integers, not necessarily in order. The two integers in the leftmost circle add to 63. The two integers in the rightmost circle add to 57. What is the value of \\(r\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 1244,
"need_tools_kwargs": true,
"question": "In the diagram, \\(p, q, r, s\\), and \\(t\\) represent five consecutive integers, not necessarily in order. The two integers in the leftmost circle add to 63. The two integers in the rightmost circle add to 57. What is the value of \\(r\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Cassius Marcellus Clay Sr. is the father of this American former heavyweight boxer, younger brother to Muhammad, born in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1943",
"style": "rule"
}
|
{
"index": 1245,
"need_tools_kwargs": true,
"question": "Cassius Marcellus Clay Sr. is the father of this American former heavyweight boxer, younger brother to Muhammad, born in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Has Sue Barker or Fabio Fognini been held the highest world ranking in tennis?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Susan Barker",
"style": "rule"
}
|
{
"index": 1246,
"need_tools_kwargs": true,
"question": "Has Sue Barker or Fabio Fognini been held the highest world ranking in tennis?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 digits are in the thirteenth and one hundred twentieth places in the natural sequence?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 1247,
"need_tools_kwargs": true,
"question": "What digits are in the thirteenth and one hundred twentieth places in the natural sequence?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the least positive integer with exactly eight distinct positive factors?",
"role": "user"
}
] |
math
|
{
"ground_truth": "54",
"style": "rule"
}
|
{
"index": 1248,
"need_tools_kwargs": true,
"question": "What is the least positive integer with exactly eight distinct positive factors?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the number of integer values of \\( x \\) for which the expression \\( Q = x^4 + 6x^3 + 13x^2 + 3x - 19 \\) is a perfect square.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 1249,
"need_tools_kwargs": true,
"question": "Determine the number of integer values of \\( x \\) for which the expression \\( Q = x^4 + 6x^3 + 13x^2 + 3x - 19 \\) is a perfect square.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a cube with its eight vertices labeled with the numbers $1, 2, 3, \\cdots, 8$ in any order, define the number on each edge as $|i-j|$, where $i$ and $j$ are the labels of the edge’s endpoints. Let $S$ be the sum of the numbers on all the edges. Find the minimum value of $S$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "28",
"style": "rule"
}
|
{
"index": 1250,
"need_tools_kwargs": true,
"question": "Given a cube with its eight vertices labeled with the numbers $1, 2, 3, \\cdots, 8$ in any order, define the number on each edge as $|i-j|$, where $i$ and $j$ are the labels of the edge’s endpoints. Let $S$ be the sum of the numbers on all the edges. Find the minimum value of $S$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x)=\\frac{2^x}{2^x+3x}$, if real numbers $m$ and $n$ satisfy $2^{m+n}=3mn$, and $f(m)=-\\frac{1}{3}$, then $f\\left(n\\right)=\\_\\_\\_\\_\\_\\_$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 1251,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=\\frac{2^x}{2^x+3x}$, if real numbers $m$ and $n$ satisfy $2^{m+n}=3mn$, and $f(m)=-\\frac{1}{3}$, then $f\\left(n\\right)=\\_\\_\\_\\_\\_\\_$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A cup tournament system to determine the winner among 8 athletes involves pairing up players through a draw. Four matches determine four winners who participate in the second round; the third round is the final. The winner of the final match gets the first prize, and their opponent gets the second prize. Assume each player has a certain strength (similar to how each object has a certain weight) and that a stronger player always wins against a weaker one (similar to how a heavier object always outweighs a lighter one if placed on different sides of a scale). Under these assumptions, the described process is appropriate for determining the champion since the winner will indeed be stronger than all their opponents; however, the second place will not always be occupied by the second strongest player.\n\nWhat is the probability that the runner-up in the final match truly deserves the second prize?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.5714285714285714",
"style": "rule"
}
|
{
"index": 1252,
"need_tools_kwargs": true,
"question": "A cup tournament system to determine the winner among 8 athletes involves pairing up players through a draw. Four matches determine four winners who participate in the second round; the third round is the final. The winner of the final match gets the first prize, and their opponent gets the second prize. Assume each player has a certain strength (similar to how each object has a certain weight) and that a stronger player always wins against a weaker one (similar to how a heavier object always outweighs a lighter one if placed on different sides of a scale). Under these assumptions, the described process is appropriate for determining the champion since the winner will indeed be stronger than all their opponents; however, the second place will not always be occupied by the second strongest player.\n\nWhat is the probability that the runner-up in the final match truly deserves the second prize?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 equation of the plane that contains the point \\( M_{1}(3,1,0) \\) and the line \\( \\frac{x-4}{1}=\\frac{y}{2}=\\frac{z-1}{3} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 1253,
"need_tools_kwargs": true,
"question": "Find the equation of the plane that contains the point \\( M_{1}(3,1,0) \\) and the line \\( \\frac{x-4}{1}=\\frac{y}{2}=\\frac{z-1}{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 city and state are the team whose coach resigned in 2016 and that is affiliated with the United Methodist Church?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Barbourville, Kentucky",
"style": "rule"
}
|
{
"index": 1254,
"need_tools_kwargs": true,
"question": "What city and state are the team whose coach resigned in 2016 and that is affiliated with the United Methodist Church?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which of the two players who scored in the 2010-11 league cup final was born in 1984 ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Obafemi Martins",
"style": "rule"
}
|
{
"index": 1255,
"need_tools_kwargs": true,
"question": "Which of the two players who scored in the 2010-11 league cup final was born in 1984 ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Alexis Sánchez specialized in the event that is included in the athletics program at what premier event?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Summer Olympic Games",
"style": "rule"
}
|
{
"index": 1256,
"need_tools_kwargs": true,
"question": "Alexis Sánchez specialized in the event that is included in the athletics program at what premier event?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many costumers do this company have that is a \"global e-learning player\" along with Element K?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10,000",
"style": "rule"
}
|
{
"index": 1257,
"need_tools_kwargs": true,
"question": "How many costumers do this company have that is a \"global e-learning player\" along with Element 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 is the college, at which Ewing Y. Freeland was football head coach in 1921, located ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jackson, Mississippi,",
"style": "rule"
}
|
{
"index": 1258,
"need_tools_kwargs": true,
"question": "Where is the college, at which Ewing Y. Freeland was football head coach in 1921, located ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the domain of the function $\\frac{x+1}{x^2+6x+8}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-\\infty,-4)\\cup(-4, -2)\\cup(-2,\\infty)",
"style": "rule"
}
|
{
"index": 1259,
"need_tools_kwargs": true,
"question": "Find the domain of the function $\\frac{x+1}{x^2+6x+8}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In rectangle \\(ABCD\\), \\(AB = 2\\) and \\(AD = 1\\), point \\(P\\) is a moving point on side \\(DC\\) (including points \\(D\\) and \\(C\\)), and point \\(Q\\) is a moving point on the extension line of \\(CB\\) (including point \\(B\\)), such that \\(|\\overrightarrow{DP}| = |\\overrightarrow{BQ}|\\). Determine the minimum value of the dot product \\(\\overrightarrow{PA} \\cdot \\overrightarrow{PQ}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3/4",
"style": "rule"
}
|
{
"index": 1260,
"need_tools_kwargs": true,
"question": "In rectangle \\(ABCD\\), \\(AB = 2\\) and \\(AD = 1\\), point \\(P\\) is a moving point on side \\(DC\\) (including points \\(D\\) and \\(C\\)), and point \\(Q\\) is a moving point on the extension line of \\(CB\\) (including point \\(B\\)), such that \\(|\\overrightarrow{DP}| = |\\overrightarrow{BQ}|\\). Determine the minimum value of the dot product \\(\\overrightarrow{PA} \\cdot \\overrightarrow{PQ}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "在四面体 $A B C D$ 中, $\\triangle A B D$ 为等边三角形， $\\angle B C D=90^{\\circ}, B C=C D=1, A C=\\sqrt{3}, E$ 、 $F$ 分别为 $B D 、 A C$ 的中点. 则直线 $A E$ 与 $B F$ 所成角的余弦值为原始答案是\\frac{\\sqrt{m}}{n}的形式，请给出m + n的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 1261,
"need_tools_kwargs": true,
"question": "在四面体 $A B C D$ 中, $\\triangle A B D$ 为等边三角形， $\\angle B C D=90^{\\circ}, B C=C D=1, A C=\\sqrt{3}, E$ 、 $F$ 分别为 $B D 、 A C$ 的中点. 则直线 $A E$ 与 $B F$ 所成角的余弦值为原始答案是\\frac{\\sqrt{m}}{n}的形式，请给出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": "A certain bus driver is paid a regular rate of $15 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. Last week the bus driver worked 54.32 hours. How much did he earn in total compensation?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$975.90",
"style": "rule"
}
|
{
"index": 1262,
"need_tools_kwargs": true,
"question": "A certain bus driver is paid a regular rate of $15 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. Last week the bus driver worked 54.32 hours. How much did he earn in total compensation?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Write the equation of the plane passing through the point $A$ and perpendicular to the vector $\\overrightarrow{B C}$.\n\n$A(0, -2, 8)$\n\n$B(4, 3, 2)$\n\n$C(1, 4, 3)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 1263,
"need_tools_kwargs": true,
"question": "Write the equation of the plane passing through the point $A$ and perpendicular to the vector $\\overrightarrow{B C}$.\n\n$A(0, -2, 8)$\n\n$B(4, 3, 2)$\n\n$C(1, 4, 3)$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the performer of song Liberation (Lippy Lou Song) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "12 July 1975",
"style": "rule"
}
|
{
"index": 1264,
"need_tools_kwargs": true,
"question": "When was the performer of song Liberation (Lippy Lou Song) 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": "Who has more scope of profession, Rémi Lange or Nikos Nikolaidis?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nikos Georgiou Nikolaidis",
"style": "rule"
}
|
{
"index": 1265,
"need_tools_kwargs": true,
"question": "Who has more scope of profession, Rémi Lange or Nikos Nikolaidis?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 lived longer, George Thomas Doo or Albert Eulenburg?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "George Thomas Doo",
"style": "rule"
}
|
{
"index": 1266,
"need_tools_kwargs": true,
"question": "Who lived longer, George Thomas Doo or Albert Eulenburg?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film came out first, Skipalong Rosenbloom or Deadful Melody?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Skipalong Rosenbloom",
"style": "rule"
}
|
{
"index": 1267,
"need_tools_kwargs": true,
"question": "Which film came out first, Skipalong Rosenbloom or Deadful Melody?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $ABCD$ be an isosceles trapezoid with base $AD$ measuring $11$ cm and the other three sides each measuring $5$ cm. Draw a line perpendicular to $BD$ passing through $C$, and another line perpendicular to $AC$ passing through $B$. Let $E$ be the intersection point of these two lines. Determine the distance between point $E$ and line $AD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 1268,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be an isosceles trapezoid with base $AD$ measuring $11$ cm and the other three sides each measuring $5$ cm. Draw a line perpendicular to $BD$ passing through $C$, and another line perpendicular to $AC$ passing through $B$. Let $E$ be the intersection point of these two lines. Determine the distance between point $E$ and line $AD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 one was established first, Dirtybird Records or Avast?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Avast",
"style": "rule"
}
|
{
"index": 1269,
"need_tools_kwargs": true,
"question": "Which one was established first, Dirtybird Records or Avast?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 boxes of candies have a total of 176 pieces. If 16 pieces are taken out from the second box and put into the first box, the number of pieces in the first box is 31 more than m times the number of pieces in the second box (m is an integer greater than 1). Then, determine the number of pieces originally in the first box.",
"role": "user"
}
] |
math
|
{
"ground_truth": "131",
"style": "rule"
}
|
{
"index": 1270,
"need_tools_kwargs": true,
"question": "Two boxes of candies have a total of 176 pieces. If 16 pieces are taken out from the second box and put into the first box, the number of pieces in the first box is 31 more than m times the number of pieces in the second box (m is an integer greater than 1). Then, determine the number of pieces originally in the first box.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the decimal representation of a natural number \\( N \\), a 0 was inserted between the second and third digits from the right, resulting in \\( 9N \\). What could be the possible values of \\( N \\)? (List all possible values).",
"role": "user"
}
] |
math
|
{
"ground_truth": "225, 450, 675",
"style": "rule"
}
|
{
"index": 1271,
"need_tools_kwargs": true,
"question": "In the decimal representation of a natural number \\( N \\), a 0 was inserted between the second and third digits from the right, resulting in \\( 9N \\). What could be the possible values of \\( N \\)? (List all possible values).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sum of all primes $p$ such that $7^p - 6^p + 2$ is divisible by 43? \n",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 1272,
"need_tools_kwargs": true,
"question": "What is the sum of all primes $p$ such that $7^p - 6^p + 2$ is divisible by 43? \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": "Observe the following equations:\n\\\\(①\\\\cos 2α=2\\\\cos ^{2}α-1\\\\)；\n\\\\(②\\\\cos 4α=8\\\\cos ^{4}α-8\\\\cos ^{2}α+1\\\\)；\n\\\\(③\\\\cos 6α=32\\\\cos ^{6}α-48\\\\cos ^{4}α+18\\\\cos ^{2}α-1\\\\)；\n\\\\(④\\\\cos 8α=128\\\\cos ^{8}α-256\\\\cos ^{6}α+160\\\\cos ^{4}α-32\\\\cos ^{2}α+1\\\\)；\n\\\\(⑤\\\\cos 10α=m\\\\cos ^{10}α-1280\\\\cos ^{8}α+1120\\\\cos ^{6}α+n\\\\cos ^{4}α+p\\\\cos ^{2}α-1\\\\)；\nWe can infer that, \\\\(m-n+p=\\\\) \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "962",
"style": "rule"
}
|
{
"index": 1273,
"need_tools_kwargs": true,
"question": "Observe the following equations:\n\\\\(①\\\\cos 2α=2\\\\cos ^{2}α-1\\\\)；\n\\\\(②\\\\cos 4α=8\\\\cos ^{4}α-8\\\\cos ^{2}α+1\\\\)；\n\\\\(③\\\\cos 6α=32\\\\cos ^{6}α-48\\\\cos ^{4}α+18\\\\cos ^{2}α-1\\\\)；\n\\\\(④\\\\cos 8α=128\\\\cos ^{8}α-256\\\\cos ^{6}α+160\\\\cos ^{4}α-32\\\\cos ^{2}α+1\\\\)；\n\\\\(⑤\\\\cos 10α=m\\\\cos ^{10}α-1280\\\\cos ^{8}α+1120\\\\cos ^{6}α+n\\\\cos ^{4}α+p\\\\cos ^{2}α-1\\\\)；\nWe can infer that, \\\\(m-n+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": "In what part of Pakistan is the company owned by Malik Riaz Hussain based?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rawalpindi",
"style": "rule"
}
|
{
"index": 1274,
"need_tools_kwargs": true,
"question": "In what part of Pakistan is the company owned by Malik Riaz Hussain based?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a function $f(x)$ is increasing in its definition domain $D$ on a certain interval $I$, and $F(x) = \\frac{f(x)}{x}$ is also increasing on $I$, then $y = f(x)$ is called a \"perfect function\" on $I$. Given that $g(x) = e^x + x - \\ln(x) + 1$, if the function $g(x)$ is a \"perfect function\" on the interval $\\left[\\frac{m}{2}, +\\infty\\right)$, the minimum value of the integer $m$ is $\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 1275,
"need_tools_kwargs": true,
"question": "If a function $f(x)$ is increasing in its definition domain $D$ on a certain interval $I$, and $F(x) = \\frac{f(x)}{x}$ is also increasing on $I$, then $y = f(x)$ is called a \"perfect function\" on $I$. Given that $g(x) = e^x + x - \\ln(x) + 1$, if the function $g(x)$ is a \"perfect function\" on the interval $\\left[\\frac{m}{2}, +\\infty\\right)$, the minimum value of the integer $m$ 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": "What is Vergil's battle quote about bedtime when he stabs the player playing as Nero in Devil May Cry 5?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "It's past your bedtime",
"style": "rule"
}
|
{
"index": 1276,
"need_tools_kwargs": true,
"question": "What is Vergil's battle quote about bedtime when he stabs the player playing as Nero in Devil May Cry 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": "Which companion series to \"House of Secrets\" featured a fictional international crime cartel?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "House of Mystery",
"style": "rule"
}
|
{
"index": 1277,
"need_tools_kwargs": true,
"question": "Which companion series to \"House of Secrets\" featured a fictional international crime cartel?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Sumerian name for the site which represented the seat of Nergal's worship?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gudua",
"style": "rule"
}
|
{
"index": 1278,
"need_tools_kwargs": true,
"question": "What is the Sumerian name for the site which represented the seat of Nergal's worship?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 battle tank was acquired from Germany by the Polish army, developed by Krauss-Maffei?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leopard 2",
"style": "rule"
}
|
{
"index": 1279,
"need_tools_kwargs": true,
"question": "What battle tank was acquired from Germany by the Polish army, developed by Krauss-Maffei?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Little Red Riding Hood decided to visit her grandmother, whose house is located 1 km away from her own house. She did not encounter the wolf that day, so she traveled the same route to and from her grandmother's house. On flat sections, her speed was 4 km/h, uphill it was 3 km/h, and downhill it was 6 km/h. How much time did she spend on the journey?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.5",
"style": "rule"
}
|
{
"index": 1280,
"need_tools_kwargs": true,
"question": "Little Red Riding Hood decided to visit her grandmother, whose house is located 1 km away from her own house. She did not encounter the wolf that day, so she traveled the same route to and from her grandmother's house. On flat sections, her speed was 4 km/h, uphill it was 3 km/h, and downhill it was 6 km/h. How much time did she spend on the journey?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "方程 $19 x+93 y=4 x y$ 的整数解的组数是多少？",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 1281,
"need_tools_kwargs": true,
"question": "方程 $19 x+93 y=4 x y$ 的整数解的组数是多少？",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Looking For Angelina and Lost Killers both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1282,
"need_tools_kwargs": true,
"question": "Are Looking For Angelina and Lost Killers both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $x_1$, $x_2$, and $x_3$ be the roots of the polynomial $x^3+3x+1$. There are relatively prime positive integers $m$ and $n$ such that $\\tfrac{m}{n}=\\tfrac{x_1^2}{(5x_2+1)(5x_3+1)}+\\tfrac{x_2^2}{(5x_1+1)(5x_3+1)}+\\tfrac{x_3^2}{(5x_1+1)(5x_2+1)}$. Find $m+n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 1283,
"need_tools_kwargs": true,
"question": "Let $x_1$, $x_2$, and $x_3$ be the roots of the polynomial $x^3+3x+1$. There are relatively prime positive integers $m$ and $n$ such that $\\tfrac{m}{n}=\\tfrac{x_1^2}{(5x_2+1)(5x_3+1)}+\\tfrac{x_2^2}{(5x_1+1)(5x_3+1)}+\\tfrac{x_3^2}{(5x_1+1)(5x_2+1)}$. 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": "Find the natural values of \\( x \\) that satisfy the system of inequalities\n\n\\[\n\\begin{cases}\n\\log _{\\sqrt{2}}(x-1) < 4 \\\\\n\\frac{x}{x-3} + \\frac{x-5}{x} < \\frac{2x}{3-x}\n\\end{cases}\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1284,
"need_tools_kwargs": true,
"question": "Find the natural values of \\( x \\) that satisfy the system of inequalities\n\n\\[\n\\begin{cases}\n\\log _{\\sqrt{2}}(x-1) < 4 \\\\\n\\frac{x}{x-3} + \\frac{x-5}{x} < \\frac{2x}{3-x}\n\\end{cases}\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": "Hélio Gracie A patriarch of the Gracie family, he was the father of a UFC Hall of Famer considered by UFC fans to be the most influential figure in the history of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "modern MMA",
"style": "rule"
}
|
{
"index": 1285,
"need_tools_kwargs": true,
"question": "Hélio Gracie A patriarch of the Gracie family, he was the father of a UFC Hall of Famer considered by UFC fans to be the most influential figure in the history of what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both villages, Chah-e Qani, Corrin and Igri, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1286,
"need_tools_kwargs": true,
"question": "Are both villages, Chah-e Qani, Corrin and Igri, 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": "Last month, Jerome bought 5 unique toy cars with varying price tags. This month, he bought 3 more unique toy cars and bought twice the amount of each toy car from last month. Additionally, there was a 20% discount on all toy cars purchased this month. Given the price of each toy car from last month:\n\n- First toy car: $A\n- Second toy car: $B\n- Third toy car: $C\n- Fourth toy car: $D\n- Fifth toy car: $E\n\nAnd the prices of the three new unique toy cars this month:\n\n- Sixth toy car: $F\n- Seventh toy car: $G\n- Eighth toy car: $H\n\nCalculate the total amount Jerome spent on the toy cars bought this month after factoring the 20% discount.",
"role": "user"
}
] |
math
|
{
"ground_truth": "20\\%",
"style": "rule"
}
|
{
"index": 1287,
"need_tools_kwargs": true,
"question": "Last month, Jerome bought 5 unique toy cars with varying price tags. This month, he bought 3 more unique toy cars and bought twice the amount of each toy car from last month. Additionally, there was a 20% discount on all toy cars purchased this month. Given the price of each toy car from last month:\n\n- First toy car: $A\n- Second toy car: $B\n- Third toy car: $C\n- Fourth toy car: $D\n- Fifth toy car: $E\n\nAnd the prices of the three new unique toy cars this month:\n\n- Sixth toy car: $F\n- Seventh toy car: $G\n- Eighth toy car: $H\n\nCalculate the total amount Jerome spent on the toy cars bought this month after factoring the 20% discount.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Cult Of The Cobra die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 8, 1996",
"style": "rule"
}
|
{
"index": 1288,
"need_tools_kwargs": true,
"question": "When did the director of film Cult Of The Cobra 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": "Where was the director of film Hotel Paradis born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Copenhagen",
"style": "rule"
}
|
{
"index": 1289,
"need_tools_kwargs": true,
"question": "Where was the director of film Hotel Paradis 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": "Wallaroo is any of three closely related species of moderately large macropod, intermediate in size between the kangaroos and the wallabies, the word \"wallaroo\" is from which Australian Aboriginal language of the Yuin–Kuric group that is spoken in the region of Sydney, New South Wales, \"walaru\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Darug",
"style": "rule"
}
|
{
"index": 1290,
"need_tools_kwargs": true,
"question": "Wallaroo is any of three closely related species of moderately large macropod, intermediate in size between the kangaroos and the wallabies, the word \"wallaroo\" is from which Australian Aboriginal language of the Yuin–Kuric group that is spoken in the region of Sydney, New South Wales, \"walaru\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\mathrm{x}$ and $\\mathrm{y}$ are distinct prime numbers, if $\\frac{621xy}{x+y}$ is an integer, how many ordered pairs $(\\mathrm{x}, \\mathrm{y})$ are there?\n(A) 8\n(B) 6\n(C) 4\n(D) 2",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 1291,
"need_tools_kwargs": true,
"question": "Given that $\\mathrm{x}$ and $\\mathrm{y}$ are distinct prime numbers, if $\\frac{621xy}{x+y}$ is an integer, how many ordered pairs $(\\mathrm{x}, \\mathrm{y})$ are there?\n(A) 8\n(B) 6\n(C) 4\n(D) 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 nationality is the director of film Royal Flash (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1292,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Royal Flash (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A photo archive is arranged in identical albums, with exactly 4 photos on each page. The 81st photo ends up on the 5th page of one album, and the 171st photo ends up on the 3rd page of another. How many photos does each album hold?",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 1293,
"need_tools_kwargs": true,
"question": "A photo archive is arranged in identical albums, with exactly 4 photos on each page. The 81st photo ends up on the 5th page of one album, and the 171st photo ends up on the 3rd page of another. How many photos does each album hold?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Oliver Maltman stars in an upcoming film, directed by who? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James Marsh",
"style": "rule"
}
|
{
"index": 1294,
"need_tools_kwargs": true,
"question": "Oliver Maltman stars in an upcoming film, directed by who? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film The September Sessions?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1295,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The September Sessions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Segment $s_1$ has endpoints at $(4,1)$ and $(-8,5)$. Segment $s_2$ is obtained by translating $s_1$ by $2$ units to the right and $3$ units up. Find the midpoint of segment $s_2$. Express your answer as $(a,b)$ with $a$ and $b$ integers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(0, 6)",
"style": "rule"
}
|
{
"index": 1296,
"need_tools_kwargs": true,
"question": "Segment $s_1$ has endpoints at $(4,1)$ and $(-8,5)$. Segment $s_2$ is obtained by translating $s_1$ by $2$ units to the right and $3$ units up. Find the midpoint of segment $s_2$. Express your answer as $(a,b)$ with $a$ and $b$ integers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 aircraft carrier's first flight was on October 27, 1979 and provided all-weather all time beyond-visual engagement.",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Panavia Tornado ADV",
"style": "rule"
}
|
{
"index": 1297,
"need_tools_kwargs": true,
"question": "Which aircraft carrier's first flight was on October 27, 1979 and provided all-weather all time beyond-visual engagement.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Charlie and Dana start their new jobs on the same day. Charlie's work schedule consists of 4 work-days followed by 2 rest-days, while Dana's schedule consists of 9 work-days followed by 1 rest-day. Determine how many times both Charlie and Dana have rest-days on the same day during their first 1200 days of work.",
"role": "user"
}
] |
math
|
{
"ground_truth": "40",
"style": "rule"
}
|
{
"index": 1298,
"need_tools_kwargs": true,
"question": "Charlie and Dana start their new jobs on the same day. Charlie's work schedule consists of 4 work-days followed by 2 rest-days, while Dana's schedule consists of 9 work-days followed by 1 rest-day. Determine how many times both Charlie and Dana have rest-days on the same day during their first 1200 days of work.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a pocket, there are six small balls that are identical in size and shape, each labeled with one of the numbers $-5, -4, -3, -2, 2, 1$. We randomly draw one ball from the pocket and denote the number on it as $a$. Determine the probability that the vertex of the parabola given by \\( y = x^2 + 2x + a + 2 \\) falls in the third quadrant, and the equation\n\\[\n\\frac{ax}{x-2} = \\frac{3x+2}{2-x} + 2\n\\]\nhas an integer solution.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{3}",
"style": "rule"
}
|
{
"index": 1299,
"need_tools_kwargs": true,
"question": "In a pocket, there are six small balls that are identical in size and shape, each labeled with one of the numbers $-5, -4, -3, -2, 2, 1$. We randomly draw one ball from the pocket and denote the number on it as $a$. Determine the probability that the vertex of the parabola given by \\( y = x^2 + 2x + a + 2 \\) falls in the third quadrant, and the equation\n\\[\n\\frac{ax}{x-2} = \\frac{3x+2}{2-x} + 2\n\\]\nhas an integer solution.",
"split": "train"
}
| null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.