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": "Let \\( S \\) be the set of all real numbers greater than -1. Determine all functions \\( f: S \\rightarrow S \\) that satisfy the following two conditions:\n1. For all \\( x \\) and \\( y \\) in \\( S \\), \\( f[x+f(y)+x \\cdot f(y)]=y+f(x)+y \\cdot f(x) \\).\n2. In the intervals \\((-1,0)\\) and \\((0,+\\infty)\\), \\( \\frac{f(x)}{x} \\) is strictly increasing.",
"role": "user"
}
] |
math
|
{
"ground_truth": "f(x) = -\\frac{x}{1+x}",
"style": "rule"
}
|
{
"index": 5700,
"need_tools_kwargs": true,
"question": "Let \\( S \\) be the set of all real numbers greater than -1. Determine all functions \\( f: S \\rightarrow S \\) that satisfy the following two conditions:\n1. For all \\( x \\) and \\( y \\) in \\( S \\), \\( f[x+f(y)+x \\cdot f(y)]=y+f(x)+y \\cdot f(x) \\).\n2. In the intervals \\((-1,0)\\) and \\((0,+\\infty)\\), \\( \\frac{f(x)}{x} \\) is strictly increasing.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dalton drinks a glass of lemonade every 20 minutes to stay hydrated. How many glasses of lemonade will he drink in 5 hours and 50 minutes?",
"role": "user"
}
] |
math
|
{
"ground_truth": "17",
"style": "rule"
}
|
{
"index": 5701,
"need_tools_kwargs": true,
"question": "Dalton drinks a glass of lemonade every 20 minutes to stay hydrated. How many glasses of lemonade will he drink in 5 hours and 50 minutes?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Graeme Atkins's final VFL match was in round 16, 1989 against Hawthorn at a football ground officially known by what sponsored name?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "IKON Park",
"style": "rule"
}
|
{
"index": 5702,
"need_tools_kwargs": true,
"question": "Graeme Atkins's final VFL match was in round 16, 1989 against Hawthorn at a football ground officially known by what sponsored name?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the only album by the firm released?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1997",
"style": "rule"
}
|
{
"index": 5703,
"need_tools_kwargs": true,
"question": "When was the only album by the firm released?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 organization, discussed in articles from 'The Roar | Sports Writers Blog', is likely to receive support from Super Rugby franchises for a potential coaching appointment and is also being encouraged to reinstate annual funding of $1.7 million to these franchises?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rugby Australia",
"style": "rule"
}
|
{
"index": 5704,
"need_tools_kwargs": true,
"question": "Which organization, discussed in articles from 'The Roar | Sports Writers Blog', is likely to receive support from Super Rugby franchises for a potential coaching appointment and is also being encouraged to reinstate annual funding of $1.7 million to these franchises?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 mean of a set of 8 numbers is 12. Two numbers with a mean of 18 are removed from the set. What is the mean of the remaining 6 numbers?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10.0",
"style": "rule"
}
|
{
"index": 5705,
"need_tools_kwargs": true,
"question": "The mean of a set of 8 numbers is 12. Two numbers with a mean of 18 are removed from the set. What is the mean of the remaining 6 numbers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A novice economist-cryptographer received a cryptogram from the ruler, which contained a new secret decree regarding the introduction of a per-unit tax on a certain market. The cryptogram indicated the total tax revenue that needed to be collected, also emphasizing that a greater sum of tax revenues could not be collected on this market. Unfortunately, the economist-cryptographer decoded the cryptogram incorrectly, misordering the digits in the total tax revenue. Based on the incorrect data, a decision was made to introduce a per-unit tax on the producer amounting to 90 monetary units per unit of goods. It is known that the market demand is given by \\( Q_d = 688 - 4P \\), and the market supply is linear. In a situation with no taxes, at the equilibrium point, the price elasticity of market supply is 1.5 times the modulus of the price elasticity of the market demand function. After the tax was introduced, the producer's price decreased to 64 monetary units.\n\n1. Restore the market supply function.\n2. Determine the total tax revenue that was collected with the chosen tax rate.\n3. Determine the per-unit tax rate that would achieve the ruler's decree.\n4. What is the amount of tax revenue that the ruler indicated to collect?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8640",
"style": "rule"
}
|
{
"index": 5706,
"need_tools_kwargs": true,
"question": "A novice economist-cryptographer received a cryptogram from the ruler, which contained a new secret decree regarding the introduction of a per-unit tax on a certain market. The cryptogram indicated the total tax revenue that needed to be collected, also emphasizing that a greater sum of tax revenues could not be collected on this market. Unfortunately, the economist-cryptographer decoded the cryptogram incorrectly, misordering the digits in the total tax revenue. Based on the incorrect data, a decision was made to introduce a per-unit tax on the producer amounting to 90 monetary units per unit of goods. It is known that the market demand is given by \\( Q_d = 688 - 4P \\), and the market supply is linear. In a situation with no taxes, at the equilibrium point, the price elasticity of market supply is 1.5 times the modulus of the price elasticity of the market demand function. After the tax was introduced, the producer's price decreased to 64 monetary units.\n\n1. Restore the market supply function.\n2. Determine the total tax revenue that was collected with the chosen tax rate.\n3. Determine the per-unit tax rate that would achieve the ruler's decree.\n4. What is the amount of tax revenue that the ruler indicated to collect?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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\n\\[x^6 - x^3 - x^2 - x - 1 = q_1(x) q_2(x) \\dotsm q_m(x),\\]\nwhere each non-constant polynomial $q_i(x)$ is monic with integer coefficients, and cannot be factored further over the integers. Compute $q_1(2) + q_2(2) + \\dots + q_m(2).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 5707,
"need_tools_kwargs": true,
"question": "Let\n\\[x^6 - x^3 - x^2 - x - 1 = q_1(x) q_2(x) \\dotsm q_m(x),\\]\nwhere each non-constant polynomial $q_i(x)$ is monic with integer coefficients, and cannot be factored further over the integers. Compute $q_1(2) + q_2(2) + \\dots + q_m(2).$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the maximum number of pawns that can be placed on a chessboard (no more than one pawn per square) if:\n\n1) No pawn can be placed on the e4 square;\n2) No two pawns can be placed on squares that are symmetric with respect to the e4 square?",
"role": "user"
}
] |
math
|
{
"ground_truth": "39",
"style": "rule"
}
|
{
"index": 5708,
"need_tools_kwargs": true,
"question": "What is the maximum number of pawns that can be placed on a chessboard (no more than one pawn per square) if:\n\n1) No pawn can be placed on the e4 square;\n2) No two pawns can be placed on squares that are symmetric with respect to the e4 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": "What is the date of birth of the director of film The Secret Of Convict Lake?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 6, 1909",
"style": "rule"
}
|
{
"index": 5709,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Secret Of Convict Lake?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On a bench of one magistrate, there are two Englishmen, two Scots, two Welshmen, one Frenchman, one Italian, one Spaniard, and one American sitting. The Englishmen do not want to sit next to each other, the Scots do not want to sit next to each other, and the Welshmen also do not want to sit next to each other. \n\nIn how many different ways can these 10 magistrate members sit on the bench so that no two people of the same nationality sit next to each other?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1895040",
"style": "rule"
}
|
{
"index": 5710,
"need_tools_kwargs": true,
"question": "On a bench of one magistrate, there are two Englishmen, two Scots, two Welshmen, one Frenchman, one Italian, one Spaniard, and one American sitting. The Englishmen do not want to sit next to each other, the Scots do not want to sit next to each other, and the Welshmen also do not want to sit next to each other. \n\nIn how many different ways can these 10 magistrate members sit on the bench so that no two people of the same nationality sit next to each other?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was the choreographer of Liza with a Z born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1927",
"style": "rule"
}
|
{
"index": 5711,
"need_tools_kwargs": true,
"question": "What year was the choreographer of Liza with a Z 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": "Let $f(x) = \\frac{x^2}8$ . Starting at the point $(7,3)$ , what is the length of the shortest path that touches the graph of $f$ , and then the $x$ -axis?\n\n*Proposed by Sam Delatore*",
"role": "user"
}
] |
math
|
{
"ground_truth": "5\\sqrt{2}-2",
"style": "rule"
}
|
{
"index": 5712,
"need_tools_kwargs": true,
"question": "Let $f(x) = \\frac{x^2}8$ . Starting at the point $(7,3)$ , what is the length of the shortest path that touches the graph of $f$ , and then the $x$ -axis?\n\n*Proposed by Sam Delatore*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cube with side length $10$ is suspended above a plane. The vertex closest to the plane is labeled $A$ . The three vertices adjacent to vertex $A$ are at heights $10, 11$, and $12$ above the plane. The distance from vertex $A$ to the plane can be expressed as $\\frac{r-\\sqrt{s}}{t}$ , where $r$ , $s$ , and $t$ are positive integers. Find $r+s+t$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "330",
"style": "rule"
}
|
{
"index": 5713,
"need_tools_kwargs": true,
"question": "A cube with side length $10$ is suspended above a plane. The vertex closest to the plane is labeled $A$ . The three vertices adjacent to vertex $A$ are at heights $10, 11$, and $12$ above the plane. The distance from vertex $A$ to the plane can be expressed as $\\frac{r-\\sqrt{s}}{t}$ , where $r$ , $s$ , and $t$ are positive integers. Find $r+s+t$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 name of the man who served as Reeve of North Red Deer, Alberta, between 1924 and 1925?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "A.M. Donnelly.",
"style": "rule"
}
|
{
"index": 5714,
"need_tools_kwargs": true,
"question": "What was the name of the man who served as Reeve of North Red Deer, Alberta, between 1924 and 1925?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 wrote the screenplay which Jacqueline Obradors appeared in ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Michael Browning",
"style": "rule"
}
|
{
"index": 5715,
"need_tools_kwargs": true,
"question": "who wrote the screenplay which Jacqueline Obradors appeared 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": "In the diagram, there are more than three triangles. If each triangle has the same probability of being selected, what is the probability that a selected triangle has all or part of its interior shaded? Express your answer as a common fraction.\n\n[asy]\ndraw((0,0)--(1,0)--(0,1)--(0,0)--cycle,linewidth(1));\ndraw((0,0)--(.5,0)--(.5,.5)--(0,0)--cycle,linewidth(1));\n\nlabel(\"A\",(0,1),NW);\nlabel(\"B\",(.5,.5),NE);\nlabel(\"C\",(1,0),SE);\nlabel(\"D\",(.5,0),S);\nlabel(\"E\",(0,0),SW);\n\nfilldraw((.5,0)--(1,0)--(.5,.5)--(.5,0)--cycle,gray,black);[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{4}{7}",
"style": "rule"
}
|
{
"index": 5716,
"need_tools_kwargs": true,
"question": "In the diagram, there are more than three triangles. If each triangle has the same probability of being selected, what is the probability that a selected triangle has all or part of its interior shaded? Express your answer as a common fraction.\n\n[asy]\ndraw((0,0)--(1,0)--(0,1)--(0,0)--cycle,linewidth(1));\ndraw((0,0)--(.5,0)--(.5,.5)--(0,0)--cycle,linewidth(1));\n\nlabel(\"A\",(0,1),NW);\nlabel(\"B\",(.5,.5),NE);\nlabel(\"C\",(1,0),SE);\nlabel(\"D\",(.5,0),S);\nlabel(\"E\",(0,0),SW);\n\nfilldraw((.5,0)--(1,0)--(.5,.5)--(.5,0)--cycle,gray,black);[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do the movies Assunta Spina (1948 Film) and Born To The Saddle (1929 Film), originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5717,
"need_tools_kwargs": true,
"question": "Do the movies Assunta Spina (1948 Film) and Born To The Saddle (1929 Film), originate from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the widow of the earl who served as both Foreign Secretary and Prime Minster from 1955 to 1957?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Anne Clarissa Eden",
"style": "rule"
}
|
{
"index": 5718,
"need_tools_kwargs": true,
"question": "What is the name of the widow of the earl who served as both Foreign Secretary and Prime Minster from 1955 to 1957?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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\\), \\(DC = 2 \\cdot CB\\) and points \\(E\\) and \\(F\\) lie on \\(\\overline{AB}\\) so that \\(\\overline{ED}\\) and \\(\\overline{FD}\\) trisect \\(\\angle ADC\\) as shown. Find the ratio of the area of \\(\\triangle DEF\\) to the area of rectangle \\(ABCD\\). The original answer is in the format \\(\\frac{\\sqrt{k}}{m}\\), please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 5719,
"need_tools_kwargs": true,
"question": "In rectangle \\(ABCD\\), \\(DC = 2 \\cdot CB\\) and points \\(E\\) and \\(F\\) lie on \\(\\overline{AB}\\) so that \\(\\overline{ED}\\) and \\(\\overline{FD}\\) trisect \\(\\angle ADC\\) as shown. Find the ratio of the area of \\(\\triangle DEF\\) to the area of rectangle \\(ABCD\\). The original answer is in the format \\(\\frac{\\sqrt{k}}{m}\\), please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film That Sweet Word: Liberty!?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "12 November 1996",
"style": "rule"
}
|
{
"index": 5720,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film That Sweet Word: Liberty!?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the contestant who was the 4th runner-up at Miss Supranational 2013?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Esonica Veira",
"style": "rule"
}
|
{
"index": 5721,
"need_tools_kwargs": true,
"question": "What is the name of the contestant who was the 4th runner-up at Miss Supranational 2013?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a given sequence $\\{S_1,S_2,...,S_k\\}$, for terms $n\\ge3$, $S_n=\\sum_{i=1}^{n-1} i\\cdot S_{n-i}$. For example, if the first two elements are 2 and 3, respectively, the third entry would be $1\\cdot3+2\\cdot2=7$, and the fourth would be $1\\cdot7+2\\cdot3+3\\cdot2=19$, and so on. Given that a sequence of integers having this form starts with 2, and the 7th element is 68, what is the second element?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-2",
"style": "rule"
}
|
{
"index": 5722,
"need_tools_kwargs": true,
"question": "In a given sequence $\\{S_1,S_2,...,S_k\\}$, for terms $n\\ge3$, $S_n=\\sum_{i=1}^{n-1} i\\cdot S_{n-i}$. For example, if the first two elements are 2 and 3, respectively, the third entry would be $1\\cdot3+2\\cdot2=7$, and the fourth would be $1\\cdot7+2\\cdot3+3\\cdot2=19$, and so on. Given that a sequence of integers having this form starts with 2, and the 7th element is 68, what is the second element?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 remainder when $9151 + 9152 + 9153 + 9154 + 9155 + 9156 + 9157$ is divided by 9.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 5723,
"need_tools_kwargs": true,
"question": "Find the remainder when $9151 + 9152 + 9153 + 9154 + 9155 + 9156 + 9157$ is divided by 9.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of films The Secret Of Polichinelle (1923 Film) and Twelve Good Men both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5724,
"need_tools_kwargs": true,
"question": "Are the directors of films The Secret Of Polichinelle (1923 Film) and Twelve Good Men 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": "Who was born first, Daniel Finěk or Toni Collette?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Toni Collette",
"style": "rule"
}
|
{
"index": 5725,
"need_tools_kwargs": true,
"question": "Who was born first, Daniel Finěk or Toni Collette?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There exists a unique prime $p > 5$ for which the decimal expansion of $\\tfrac{1}{p}$ repeats with a period of exactly 294. Given that $p > 10^{50}$ , compute the remainder when $p$ is divided by $10^9$ .\n\n*Proposed by Ankan Bhattacharya*",
"role": "user"
}
] |
math
|
{
"ground_truth": "572857143",
"style": "rule"
}
|
{
"index": 5726,
"need_tools_kwargs": true,
"question": "There exists a unique prime $p > 5$ for which the decimal expansion of $\\tfrac{1}{p}$ repeats with a period of exactly 294. Given that $p > 10^{50}$ , compute the remainder when $p$ is divided by $10^9$ .\n\n*Proposed by Ankan Bhattacharya*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 boys were collecting apples. Each boy collected either 20 apples or 20% of the total number of apples collected, and there were both kinds of boys. What is the minimum number of boys that could have participated?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 5727,
"need_tools_kwargs": true,
"question": "The boys were collecting apples. Each boy collected either 20 apples or 20% of the total number of apples collected, and there were both kinds of boys. What is the minimum number of boys that could have participated?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Rachelle picks a positive integer \\( a \\) and writes it next to itself to obtain a new positive integer \\( b \\). For instance, if \\( a=17 \\), then \\( b=1717 \\). To her surprise, she finds that \\( b \\) is a multiple of \\( a^{2} \\). Find the product of all the possible values of \\( \\frac{b}{a^{2}} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "77",
"style": "rule"
}
|
{
"index": 5728,
"need_tools_kwargs": true,
"question": "Rachelle picks a positive integer \\( a \\) and writes it next to itself to obtain a new positive integer \\( b \\). For instance, if \\( a=17 \\), then \\( b=1717 \\). To her surprise, she finds that \\( b \\) is a multiple of \\( a^{2} \\). Find the product of all the possible values of \\( \\frac{b}{a^{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 performer of song A House Without Love?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 5729,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song A House Without Love?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director died first, Naagapanchami or The Girl In The Glass Cage?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Girl In The Glass Cage",
"style": "rule"
}
|
{
"index": 5730,
"need_tools_kwargs": true,
"question": "Which film has the director died first, Naagapanchami or The Girl In The Glass Cage?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "One autumn day, a Scattered Scientist glanced at his antique wall clock and saw three flies asleep on the dial. The first one was exactly at the 12 o'clock mark, and the other two were precisely at the 2 o'clock and 5 o'clock marks. The Scientist measured and determined that the hour hand posed no threat to the flies, but the minute hand would sweep them all away one by one. Find the probability that exactly two of the three flies will be swept away by the minute hand precisely 40 minutes after the Scientist noticed the flies.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 5731,
"need_tools_kwargs": true,
"question": "One autumn day, a Scattered Scientist glanced at his antique wall clock and saw three flies asleep on the dial. The first one was exactly at the 12 o'clock mark, and the other two were precisely at the 2 o'clock and 5 o'clock marks. The Scientist measured and determined that the hour hand posed no threat to the flies, but the minute hand would sweep them all away one by one. Find the probability that exactly two of the three flies will be swept away by the minute hand precisely 40 minutes after the Scientist noticed the flies.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 squadron part of the 47th flying training wing operates a single-engine turbopop aircraft built by Raytheon?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The 85th Flying Training Squadron",
"style": "rule"
}
|
{
"index": 5732,
"need_tools_kwargs": true,
"question": "Which squadron part of the 47th flying training wing operates a single-engine turbopop aircraft built by Raytheon?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film The Marriage Price?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24 April 1934",
"style": "rule"
}
|
{
"index": 5733,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Marriage Price?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Into how many parts can $n$ planes divide space?\n\n(Each group of three planes intersects at one point, and no group of four planes has a common point.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "26",
"style": "rule"
}
|
{
"index": 5734,
"need_tools_kwargs": true,
"question": "Into how many parts can $n$ planes divide space?\n\n(Each group of three planes intersects at one point, and no group of four planes has a common point.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What retired Spanish footballer, born 30 March 1982, played for Fiorentina?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Javier Portillo",
"style": "rule"
}
|
{
"index": 5735,
"need_tools_kwargs": true,
"question": "What retired Spanish footballer, born 30 March 1982, played for Fiorentina?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 does the tune for the rhyme the film title of All the King's Men comes from first appear",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1870",
"style": "rule"
}
|
{
"index": 5736,
"need_tools_kwargs": true,
"question": "When does the tune for the rhyme the film title of All the King's Men comes from first appear",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polar coordinate system, circle $C$ is centered at point $C\\left(2, -\\frac{\\pi}{6}\\right)$ with a radius of $2$.\n\n$(1)$ Find the polar equation of circle $C$;\n\n$(2)$ Find the length of the chord cut from circle $C$ by the line $l$: $\\theta = -\\frac{5\\pi}{12} (\\rho \\in \\mathbb{R})$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{2}",
"style": "rule"
}
|
{
"index": 5737,
"need_tools_kwargs": true,
"question": "In the polar coordinate system, circle $C$ is centered at point $C\\left(2, -\\frac{\\pi}{6}\\right)$ with a radius of $2$.\n\n$(1)$ Find the polar equation of circle $C$;\n\n$(2)$ Find the length of the chord cut from circle $C$ by the line $l$: $\\theta = -\\frac{5\\pi}{12} (\\rho \\in \\mathbb{R})$.",
"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": "Are both high schools, Union County Academy For Allied Health Sciences and Notre Dame High School (Easton, Pennsylvania), located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 5738,
"need_tools_kwargs": true,
"question": "Are both high schools, Union County Academy For Allied Health Sciences and Notre Dame High School (Easton, Pennsylvania), 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": "Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions in her flower bed are as shown in the figure. She plants one flower per square foot in each region. Asters cost $\\$1$ each, begonias $\\$1.50$ each, cannas $\\$2$ each, dahlias $\\$2.50$ each, and Easter lilies $\\$3$ each. What is the least possible cost, in dollars, for her garden? [asy]\ndraw((0,0)--(11,0)--(11,6)--(0,6)--cycle,linewidth(0.7));\ndraw((0,1)--(6,1),linewidth(0.7));\ndraw((4,1)--(4,6),linewidth(0.7));\ndraw((6,0)--(6,3),linewidth(0.7));\ndraw((4,3)--(11,3),linewidth(0.7));\nlabel(\"6\",(3,0),S);\nlabel(\"5\",(8.5,0),S);\nlabel(\"1\",(0,0.5),W);\nlabel(\"5\",(0,3.5),W);\nlabel(\"4\",(2,6),N);\nlabel(\"7\",(7.5,6),N);\nlabel(\"3\",(11,1.5),E);\nlabel(\"3\",(11,4.5),E);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "108",
"style": "rule"
}
|
{
"index": 5739,
"need_tools_kwargs": true,
"question": "Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions in her flower bed are as shown in the figure. She plants one flower per square foot in each region. Asters cost $\\$1$ each, begonias $\\$1.50$ each, cannas $\\$2$ each, dahlias $\\$2.50$ each, and Easter lilies $\\$3$ each. What is the least possible cost, in dollars, for her garden? [asy]\ndraw((0,0)--(11,0)--(11,6)--(0,6)--cycle,linewidth(0.7));\ndraw((0,1)--(6,1),linewidth(0.7));\ndraw((4,1)--(4,6),linewidth(0.7));\ndraw((6,0)--(6,3),linewidth(0.7));\ndraw((4,3)--(11,3),linewidth(0.7));\nlabel(\"6\",(3,0),S);\nlabel(\"5\",(8.5,0),S);\nlabel(\"1\",(0,0.5),W);\nlabel(\"5\",(0,3.5),W);\nlabel(\"4\",(2,6),N);\nlabel(\"7\",(7.5,6),N);\nlabel(\"3\",(11,1.5),E);\nlabel(\"3\",(11,4.5),E);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Anna Hanika was an Austrian accounts clerk who became a resistance activist during what period of Austrian history from March 12, 1938 until the end of World War II in spring 1945?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Austria in the time of National Socialism",
"style": "rule"
}
|
{
"index": 5740,
"need_tools_kwargs": true,
"question": "Anna Hanika was an Austrian accounts clerk who became a resistance activist during what period of Austrian history from March 12, 1938 until the end of World War II in spring 1945?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Neighboring Rapid city is a memorial with a sculpture whose design was created by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gutzon Borglum",
"style": "rule"
}
|
{
"index": 5741,
"need_tools_kwargs": true,
"question": "Neighboring Rapid city is a memorial with a sculpture whose design was created 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": "The product of nine consecutive natural numbers is divisible by 1111. What is the smallest possible value that the arithmetic mean of these nine numbers can take?",
"role": "user"
}
] |
math
|
{
"ground_truth": "97",
"style": "rule"
}
|
{
"index": 5742,
"need_tools_kwargs": true,
"question": "The product of nine consecutive natural numbers is divisible by 1111. What is the smallest possible value that the arithmetic mean of these nine numbers can take?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 college did the Chiefs all time leading rusher attend?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Texas",
"style": "rule"
}
|
{
"index": 5743,
"need_tools_kwargs": true,
"question": "What college did the Chiefs all time leading rusher attend?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a convex quadrilateral \\(PQRS\\), the lengths of sides \\(PQ\\) and \\(RS\\) are 15 and 20, respectively. The diagonals \\(PR\\) and \\(QS\\) intersect at point \\(T\\), with \\(PR\\) measuring 22 units. It is given that the areas of triangles \\(PTR\\) and \\(QTS\\) are equal. Determine the length of segment \\(PT\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 5744,
"need_tools_kwargs": true,
"question": "In a convex quadrilateral \\(PQRS\\), the lengths of sides \\(PQ\\) and \\(RS\\) are 15 and 20, respectively. The diagonals \\(PR\\) and \\(QS\\) intersect at point \\(T\\), with \\(PR\\) measuring 22 units. It is given that the areas of triangles \\(PTR\\) and \\(QTS\\) are equal. Determine the length of segment \\(PT\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 following conditions, determine the sequence \\( \\left\\{a_{n}\\right\\} \\):\n\n1. \\(\\left\\{2^{a_{n}}\\right\\}\\) is a geometric sequence.\n2. The sum of the first \\(n\\) terms \\( S_{n} = n^{2}+1 \\).\n3. \\(a_{1} > 0\\), and \\( a_{k} = \\frac{2}{k-1}\\left(a_{1} + a_{2} + \\cdots + a_{k-1}\\right) \\) for \\( k \\geqslant 2 \\).\n\nWhich of the above conditions ensures that \\( \\left\\{a_{n}\\right\\} \\) is an arithmetic sequence? Fill in the appropriate condition number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 5745,
"need_tools_kwargs": true,
"question": "Given the following conditions, determine the sequence \\( \\left\\{a_{n}\\right\\} \\):\n\n1. \\(\\left\\{2^{a_{n}}\\right\\}\\) is a geometric sequence.\n2. The sum of the first \\(n\\) terms \\( S_{n} = n^{2}+1 \\).\n3. \\(a_{1} > 0\\), and \\( a_{k} = \\frac{2}{k-1}\\left(a_{1} + a_{2} + \\cdots + a_{k-1}\\right) \\) for \\( k \\geqslant 2 \\).\n\nWhich of the above conditions ensures that \\( \\left\\{a_{n}\\right\\} \\) is an arithmetic sequence? Fill in the appropriate condition number.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Michael is celebrating his fifteenth birthday today. How many Sundays have there been in his lifetime?",
"role": "user"
}
] |
math
|
{
"ground_truth": "783",
"style": "rule"
}
|
{
"index": 5746,
"need_tools_kwargs": true,
"question": "Michael is celebrating his fifteenth birthday today. How many Sundays have there been in his lifetime?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 party did the politician and gubernatorial candidate who lost to an American politician, author, and attorney in the Governor of New York State election of 2014 represent?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Libertarian Party",
"style": "rule"
}
|
{
"index": 5747,
"need_tools_kwargs": true,
"question": "Which party did the politician and gubernatorial candidate who lost to an American politician, author, and attorney in the Governor of New York State election of 2014 represent?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 representation of three two-digit numbers, there are no zeros, and in each of them, both digits are different. Their sum is 41. What could their sum be if the digits in them are swapped?",
"role": "user"
}
] |
math
|
{
"ground_truth": "113",
"style": "rule"
}
|
{
"index": 5748,
"need_tools_kwargs": true,
"question": "In the representation of three two-digit numbers, there are no zeros, and in each of them, both digits are different. Their sum is 41. What could their sum be if the digits in them are swapped?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the equation: \\(3x^{2} + 14y^{2} - 12xy + 6x - 20y + 11 = 0\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 5749,
"need_tools_kwargs": true,
"question": "Solve the equation: \\(3x^{2} + 14y^{2} - 12xy + 6x - 20y + 11 = 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": "Which film has the director born earlier, Beyond The Garden or Be Somebody (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Beyond The Garden",
"style": "rule"
}
|
{
"index": 5750,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, Beyond The Garden or Be Somebody (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": "Patty is picking peppermints off a tree. They come in two colors: red and white. She picks fewer than $100$ total peppermints but at least one of each color. The white flavor is stronger, so she prefers red to white. Thus, she always picks fewer white peppermints than ten times the number of reds. How many different combinations of peppermints can she go home with?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4446",
"style": "rule"
}
|
{
"index": 5751,
"need_tools_kwargs": true,
"question": "Patty is picking peppermints off a tree. They come in two colors: red and white. She picks fewer than $100$ total peppermints but at least one of each color. The white flavor is stronger, so she prefers red to white. Thus, she always picks fewer white peppermints than ten times the number of reds. How many different combinations of peppermints can she go home with?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Along the path between Neznayka's and Sineglazka's houses, there were flowers planted in a row: 15 peonies and 15 tulips mixed together. While visiting Neznayka, Sineglazka watered all the flowers she encountered. After watering the 10th tulip, she ran out of water, leaving 10 flowers unwatered. The next day, while visiting Sineglazka, Neznayka picked all the flowers he encountered. After picking the 6th tulip, he decided he had enough for a bouquet. How many flowers were left growing along the path?",
"role": "user"
}
] |
math
|
{
"ground_truth": "19",
"style": "rule"
}
|
{
"index": 5752,
"need_tools_kwargs": true,
"question": "Along the path between Neznayka's and Sineglazka's houses, there were flowers planted in a row: 15 peonies and 15 tulips mixed together. While visiting Neznayka, Sineglazka watered all the flowers she encountered. After watering the 10th tulip, she ran out of water, leaving 10 flowers unwatered. The next day, while visiting Sineglazka, Neznayka picked all the flowers he encountered. After picking the 6th tulip, he decided he had enough for a bouquet. How many flowers were left growing along the path?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 headquarters for Cal Jet?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Portland, Maine",
"style": "rule"
}
|
{
"index": 5753,
"need_tools_kwargs": true,
"question": "Where is the headquarters for Cal Jet?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is older, Lee Sung-min or Ray Wilson?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Raymond Wilson",
"style": "rule"
}
|
{
"index": 5754,
"need_tools_kwargs": true,
"question": "Who is older, Lee Sung-min or Ray Wilson?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Roman commander Julius Ceasar referred to Germania as the vassal state ruled by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Napoleon's brother Jérôme Bonaparte",
"style": "rule"
}
|
{
"index": 5755,
"need_tools_kwargs": true,
"question": "The Roman commander Julius Ceasar referred to Germania as the vassal state ruled 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": "who hit the first grand slam in baseball history",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Roger Connor",
"style": "rule"
}
|
{
"index": 5756,
"need_tools_kwargs": true,
"question": "who hit the first grand slam in baseball history",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film A Temporary Vagabond born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Weston-super-Mare, Somerset",
"style": "rule"
}
|
{
"index": 5757,
"need_tools_kwargs": true,
"question": "Where was the director of film A Temporary Vagabond 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": "Which country the director of film Fight Harm is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 5758,
"need_tools_kwargs": true,
"question": "Which country the director of film Fight Harm is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all positive integers $n>2$ such that \n$$ n! \\mid \\prod_{ p<q\\le n, p,q \\, \\text{primes}} (p+q)$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 5759,
"need_tools_kwargs": true,
"question": "Find all positive integers $n>2$ such that \n$$ n! \\mid \\prod_{ p<q\\le n, p,q \\, \\text{primes}} (p+q)$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the rock band that released \"Miyako Hideaway\" formed? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Macclesfield, Cheshire",
"style": "rule"
}
|
{
"index": 5760,
"need_tools_kwargs": true,
"question": "Where was the rock band that released \"Miyako Hideaway\" formed? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Ghost and Mrs. Muir was a film that was created by the studios located in what area of Los Angeles?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Century City",
"style": "rule"
}
|
{
"index": 5761,
"need_tools_kwargs": true,
"question": "The Ghost and Mrs. Muir was a film that was created by the studios located in what area of Los Angeles?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 parade, which is the second-largest in the world, was started by John Martin & Co.?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Adelaide Christmas Pageant",
"style": "rule"
}
|
{
"index": 5762,
"need_tools_kwargs": true,
"question": "What parade, which is the second-largest in the world, was started by John Martin & Co.?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 circle with center \\(O\\), the measure of \\(\\angle RIP\\) is \\(36^\\circ\\) and \\(OR=10\\) cm. Find the number of centimeters in the length of arc \\(RP\\). Express your answer in the form of \\(k\\pi\\), and provide the value of \\(k\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 5763,
"need_tools_kwargs": true,
"question": "In the circle with center \\(O\\), the measure of \\(\\angle RIP\\) is \\(36^\\circ\\) and \\(OR=10\\) cm. Find the number of centimeters in the length of arc \\(RP\\). Express your answer in the form of \\(k\\pi\\), and provide the value of \\(k\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who did the 2015 coach of the New York Liberty play most of his NBA career for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Detroit Pistons",
"style": "rule"
}
|
{
"index": 5764,
"need_tools_kwargs": true,
"question": "Who did the 2015 coach of the New York Liberty play most of his NBA career for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x) = \\cos^4x + 2\\sin x\\cos x - \\sin^4x$ \n(1) Determine the parity, the smallest positive period, and the intervals of monotonic increase for the function $f(x)$. \n(2) When $x \\in [0, \\frac{\\pi}{2}]$, find the maximum and minimum values of the function $f(x)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1",
"style": "rule"
}
|
{
"index": 5765,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \\cos^4x + 2\\sin x\\cos x - \\sin^4x$ \n(1) Determine the parity, the smallest positive period, and the intervals of monotonic increase for the function $f(x)$. \n(2) When $x \\in [0, \\frac{\\pi}{2}]$, find the maximum and minimum values of the function $f(x)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film whose director was born first, Keeper Of The Door or Rufus (2012 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Keeper Of The Door",
"style": "rule"
}
|
{
"index": 5766,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Keeper Of The Door or Rufus (2012 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": "This town with a population of 2,833 at the 2010 census is home to liberal arts college whose curriculum is based on the study of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Great Books",
"style": "rule"
}
|
{
"index": 5767,
"need_tools_kwargs": true,
"question": "This town with a population of 2,833 at the 2010 census is home to liberal arts college whose curriculum is based on the study 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": "This is a shape composed of 72 identical small quadrilaterals. Some quadrilaterals have been infected by a virus and turned black. When a healthy small quadrilateral (white) has at least two adjacent infected small quadrilaterals, it will also become infected and turn black, spreading in this manner. How many more virus sources (i.e., black small quadrilaterals) need to be added to ensure that the entire shape gets infected? (Adjacent means two small quadrilaterals share a common edge).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 5768,
"need_tools_kwargs": true,
"question": "This is a shape composed of 72 identical small quadrilaterals. Some quadrilaterals have been infected by a virus and turned black. When a healthy small quadrilateral (white) has at least two adjacent infected small quadrilaterals, it will also become infected and turn black, spreading in this manner. How many more virus sources (i.e., black small quadrilaterals) need to be added to ensure that the entire shape gets infected? (Adjacent means two small quadrilaterals share a common edge).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Each of the first eight prime numbers is placed in a bowl. Two primes are drawn without replacement. What is the probability, expressed as a common fraction, that the sum of the two numbers drawn is a prime number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac17",
"style": "rule"
}
|
{
"index": 5769,
"need_tools_kwargs": true,
"question": "Each of the first eight prime numbers is placed in a bowl. Two primes are drawn without replacement. What is the probability, expressed as a common fraction, that the sum of the two numbers drawn is a prime number?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\nThe pensioners on one of the planets of Alpha Centauri enjoy spending their free time solving numeric puzzles: they choose natural numbers from a given range $[A, B]$ such that the sum of any two chosen numbers is not divisible by a certain number $N$. Last week, the newspaper \"Alpha Centaurian Panorama\" offered its readers a puzzle with the values $A=1353$, $B=2134$, and $N=11$. What is the maximum number of numbers that can be the solution to such a puzzle?",
"role": "user"
}
] |
math
|
{
"ground_truth": "356",
"style": "rule"
}
|
{
"index": 5770,
"need_tools_kwargs": true,
"question": "\nThe pensioners on one of the planets of Alpha Centauri enjoy spending their free time solving numeric puzzles: they choose natural numbers from a given range $[A, B]$ such that the sum of any two chosen numbers is not divisible by a certain number $N$. Last week, the newspaper \"Alpha Centaurian Panorama\" offered its readers a puzzle with the values $A=1353$, $B=2134$, and $N=11$. What is the maximum number of numbers that can be the solution to such a puzzle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that the weights (in kilograms) of 4 athletes are all integers, and they weighed themselves in pairs for a total of 5 times, obtaining weights of 99, 113, 125, 130, 144 kilograms respectively, and there are two athletes who did not weigh together, determine the weight of the heavier one among these two athletes.",
"role": "user"
}
] |
math
|
{
"ground_truth": "66",
"style": "rule"
}
|
{
"index": 5771,
"need_tools_kwargs": true,
"question": "Given that the weights (in kilograms) of 4 athletes are all integers, and they weighed themselves in pairs for a total of 5 times, obtaining weights of 99, 113, 125, 130, 144 kilograms respectively, and there are two athletes who did not weigh together, determine the weight of the heavier one among these two athletes.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who plays the fiddle for this country music group from Texas that has recorded seven studio albums and for whom George Ducas has wrote songs and hit singles?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brady Black",
"style": "rule"
}
|
{
"index": 5772,
"need_tools_kwargs": true,
"question": "Who plays the fiddle for this country music group from Texas that has recorded seven studio albums and for whom George Ducas has wrote songs and hit singles?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 directed and co-wrote the 2015 film in which Ty Simpkins starred?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Colin Trevorrow",
"style": "rule"
}
|
{
"index": 5773,
"need_tools_kwargs": true,
"question": "Who directed and co-wrote the 2015 film in which Ty Simpkins starred?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the director of film The Battle Of The Sexes (1914 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "January 22, 1875",
"style": "rule"
}
|
{
"index": 5774,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Battle Of The Sexes (1914 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": "When did Archduchess Maria Beatrix Of Austria-Este's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "15 September 1840",
"style": "rule"
}
|
{
"index": 5775,
"need_tools_kwargs": true,
"question": "When did Archduchess Maria Beatrix Of Austria-Este'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": "The expression \\([x]\\) represents the greatest integer less than or equal to the real number \\(x\\). The function \\(f(x) = x - [x]\\) can be expressed as a certain linear function. This form is \\(f(x) =\\) ___.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x - \\lfloor x \\rfloor",
"style": "rule"
}
|
{
"index": 5776,
"need_tools_kwargs": true,
"question": "The expression \\([x]\\) represents the greatest integer less than or equal to the real number \\(x\\). The function \\(f(x) = x - [x]\\) can be expressed as a certain linear function. This form is \\(f(x) =\\) ___.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The school committee has organized a \"Chinese Dream, My Dream\" knowledge speech competition. There are 4 finalists, and each contestant can choose any one topic from the 4 backup topics to perform their speech. The number of scenarios where exactly one of the topics is not selected by any of the 4 contestants is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "324",
"style": "rule"
}
|
{
"index": 5777,
"need_tools_kwargs": true,
"question": "The school committee has organized a \"Chinese Dream, My Dream\" knowledge speech competition. There are 4 finalists, and each contestant can choose any one topic from the 4 backup topics to perform their speech. The number of scenarios where exactly one of the topics is not selected by any of the 4 contestants 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": "Given the function $f(x)=4\\cos ωx\\sin \\left(wx- \\frac{π}{6}\\right)$ $(ω > 0)$ with the smallest positive period of $π$.\n\n(1) Find $ω$;\n\n(2) In triangle $△ABC$, the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively. It is known that the acute angle $A$ is a zero point of the function $f(x)$, and $\\sin B= \\sqrt{3}\\sin C$, the area of $△ABC$ is $S=2\\sqrt{3}$, find $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{2}",
"style": "rule"
}
|
{
"index": 5778,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=4\\cos ωx\\sin \\left(wx- \\frac{π}{6}\\right)$ $(ω > 0)$ with the smallest positive period of $π$.\n\n(1) Find $ω$;\n\n(2) In triangle $△ABC$, the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively. It is known that the acute angle $A$ is a zero point of the function $f(x)$, and $\\sin B= \\sqrt{3}\\sin C$, the area of $△ABC$ is $S=2\\sqrt{3}$, find $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "a cabinet-making firm was found which year, from Lancaster?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1730",
"style": "rule"
}
|
{
"index": 5779,
"need_tools_kwargs": true,
"question": "a cabinet-making firm was found which year, from Lancaster?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 maya snake deity that is closely related to a deity whose name means feathered serpent, is also closely related to what other deity?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Q'uq'umatz",
"style": "rule"
}
|
{
"index": 5780,
"need_tools_kwargs": true,
"question": "A maya snake deity that is closely related to a deity whose name means feathered serpent, is also closely related to what other deity?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 separate models of the aircraft flown by the Flotille 17F were manufactured?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 5781,
"need_tools_kwargs": true,
"question": "How many separate models of the aircraft flown by the Flotille 17F were manufactured?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $f(x)=\\sin x\\cos x-\\cos^2\\left(x+ \\frac{\\pi}{4}\\right), x\\in \\mathbb{R}$.\n\n(I) Find the intervals of monotonic increase for $f(x)$.\n\n(II) In an acute triangle $\\Delta ABC$, where $A$, $B$, and $C$ are opposite to sides $a$, $b$, and $c$ respectively, given $f\\left( \\frac{A}{2}\\right)=0, a=1$, find the maximum area of $\\Delta ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2+ \\sqrt{3}}{4}",
"style": "rule"
}
|
{
"index": 5782,
"need_tools_kwargs": true,
"question": "Let $f(x)=\\sin x\\cos x-\\cos^2\\left(x+ \\frac{\\pi}{4}\\right), x\\in \\mathbb{R}$.\n\n(I) Find the intervals of monotonic increase for $f(x)$.\n\n(II) In an acute triangle $\\Delta ABC$, where $A$, $B$, and $C$ are opposite to sides $a$, $b$, and $c$ respectively, given $f\\left( \\frac{A}{2}\\right)=0, a=1$, find the maximum area of $\\Delta ABC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The manufacturing of a certain mechanical part consists of two operations. The scrap rate of the first operation is $a$, and the scrap rate of the second operation is $b$. Assuming that the production of scrap from these two operations is independent of each other, the qualifying rate of the product is\nA: $ab-a-b+1$\nB: $1-a-b$\nC: $1-ab$\nD: $1-2ab$",
"role": "user"
}
] |
math
|
{
"ground_truth": "A: ab-a-b+1",
"style": "rule"
}
|
{
"index": 5783,
"need_tools_kwargs": true,
"question": "The manufacturing of a certain mechanical part consists of two operations. The scrap rate of the first operation is $a$, and the scrap rate of the second operation is $b$. Assuming that the production of scrap from these two operations is independent of each other, the qualifying rate of the product is\nA: $ab-a-b+1$\nB: $1-a-b$\nC: $1-ab$\nD: $1-2ab$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $i$ is the imaginary unit, calculate the sum $1 + i + i^2 + \\ldots + i^{100}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 5784,
"need_tools_kwargs": true,
"question": "Given that $i$ is the imaginary unit, calculate the sum $1 + i + i^2 + \\ldots + i^{100}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polyhedron has faces that are all either triangles or squares. No two square faces share an edge, and no two triangular faces share an edge. What is the ratio of the number of triangular faces to the number of square faces?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{4}{3}",
"style": "rule"
}
|
{
"index": 5785,
"need_tools_kwargs": true,
"question": "A polyhedron has faces that are all either triangles or squares. No two square faces share an edge, and no two triangular faces share an edge. What is the ratio of the number of triangular faces to the number of square faces?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sequence $\\{a_n\\}$ satisfies $a_1=1$, $a_2=1$, $a_{n+2}=(1+\\sin^2 \\frac{n\\pi}{2})a_n+2\\cos^2 \\frac{n\\pi}{2}$. Find the sum of the first $20$ terms of this sequence.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1123",
"style": "rule"
}
|
{
"index": 5786,
"need_tools_kwargs": true,
"question": "The sequence $\\{a_n\\}$ satisfies $a_1=1$, $a_2=1$, $a_{n+2}=(1+\\sin^2 \\frac{n\\pi}{2})a_n+2\\cos^2 \\frac{n\\pi}{2}$. Find the sum of the first $20$ terms of this 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": "Given the list \\[A=[9,12,1,20,17,4,10,7,15,8,13,14],\\] we would like to sort it in increasing order. To accomplish this, we will perform the following operation repeatedly: remove an element, then insert it at any position in the list, shifting elements if necessary. What is the minimum number of applications of this operation necessary to sort $A$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 5787,
"need_tools_kwargs": true,
"question": "Given the list \\[A=[9,12,1,20,17,4,10,7,15,8,13,14],\\] we would like to sort it in increasing order. To accomplish this, we will perform the following operation repeatedly: remove an element, then insert it at any position in the list, shifting elements if necessary. What is the minimum number of applications of this operation necessary to sort $A$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What does the name mean of the Catholic priest who inspired a Tekken character?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Friar Storm",
"style": "rule"
}
|
{
"index": 5788,
"need_tools_kwargs": true,
"question": "What does the name mean of the Catholic priest who inspired a Tekken character?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Trapper's Trail links the Great Platte River Road at Fort Laramie and a trail pioneered in 1821 by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "William Becknell",
"style": "rule"
}
|
{
"index": 5789,
"need_tools_kwargs": true,
"question": "The Trapper's Trail links the Great Platte River Road at Fort Laramie and a trail pioneered in 1821 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": "Given real numbers $a$ and $b$ satisfying $0 < a \\leq 2$ and $b \\geq 1$. If $b \\leq a^2$, then the range of $\\frac{b}{a}$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left[ \\frac{1}{2}, 2 \\right]",
"style": "rule"
}
|
{
"index": 5790,
"need_tools_kwargs": true,
"question": "Given real numbers $a$ and $b$ satisfying $0 < a \\leq 2$ and $b \\geq 1$. If $b \\leq a^2$, then the range of $\\frac{b}{a}$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Q: Relying on État second, writers such as Julio Cortázar are known for founding which literary movement? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Latin American Boom",
"style": "rule"
}
|
{
"index": 5791,
"need_tools_kwargs": true,
"question": "Q: Relying on État second, writers such as Julio Cortázar are known for founding which literary movement? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 star of the 2009 documentary \"Love the Beast\" gained celebrity status through appearances on \"The Oprah Winfrey Show?\"",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Phil McGraw",
"style": "rule"
}
|
{
"index": 5792,
"need_tools_kwargs": true,
"question": "Which star of the 2009 documentary \"Love the Beast\" gained celebrity status through appearances on \"The Oprah Winfrey Show?\"",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "John and Mary live in a skyscraper, with 10 apartments on each floor. John's floor number is equal to Mary's apartment number, and the sum of their apartment numbers is 239. In which apartment does John live?",
"role": "user"
}
] |
math
|
{
"ground_truth": "217",
"style": "rule"
}
|
{
"index": 5793,
"need_tools_kwargs": true,
"question": "John and Mary live in a skyscraper, with 10 apartments on each floor. John's floor number is equal to Mary's apartment number, and the sum of their apartment numbers is 239. In which apartment does John live?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film was released earlier, The Wife Of Monte Cristo or Sgt. Bilko?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Wife Of Monte Cristo",
"style": "rule"
}
|
{
"index": 5794,
"need_tools_kwargs": true,
"question": "Which film was released earlier, The Wife Of Monte Cristo or Sgt. Bilko?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polynomial whose roots are all equal to each other is called a [i]unicorn[/i]. Compute the number of distinct ordered triples $(M, P, G)$, where $M$, $P$, $G$ are complex numbers, such that the polynomials $z^3 + M z^2 + Pz + G$ and $z^3 + G z^2 + Pz + M$ are both unicorns.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 5795,
"need_tools_kwargs": true,
"question": "A polynomial whose roots are all equal to each other is called a [i]unicorn[/i]. Compute the number of distinct ordered triples $(M, P, G)$, where $M$, $P$, $G$ are complex numbers, such that the polynomials $z^3 + M z^2 + Pz + G$ and $z^3 + G z^2 + Pz + M$ are both unicorns.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integer equal to the expression \n \\[ \\sum_{i=0}^{9} \\left(i+(-9)^i\\right)8^{9-i} \\binom{9}{i}\\] \n is divisible by exactly six distinct primes. Find the sum of these six distinct prime factors.",
"role": "user"
}
] |
math
|
{
"ground_truth": "835",
"style": "rule"
}
|
{
"index": 5796,
"need_tools_kwargs": true,
"question": "The positive integer equal to the expression \n \\[ \\sum_{i=0}^{9} \\left(i+(-9)^i\\right)8^{9-i} \\binom{9}{i}\\] \n is divisible by exactly six distinct primes. Find the sum of these six distinct prime 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": "Let \\( a, b, c \\) be the side lengths of a right triangle, with \\( a \\leqslant b < c \\). Determine the maximum constant \\( k \\) such that \\( a^{2}(b+c) + b^{2}(c+a) + c^{2}(a+b) \\geqslant k a b c \\) holds for all right triangles, and identify when equality occurs.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 + 3\\sqrt{2}",
"style": "rule"
}
|
{
"index": 5797,
"need_tools_kwargs": true,
"question": "Let \\( a, b, c \\) be the side lengths of a right triangle, with \\( a \\leqslant b < c \\). Determine the maximum constant \\( k \\) such that \\( a^{2}(b+c) + b^{2}(c+a) + c^{2}(a+b) \\geqslant k a b c \\) holds for all right triangles, and identify when equality occurs.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that point M(2, $\\frac{1}{4}$) is on the graph of the power function $f(x)$, the expression for $f(x)$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "f(x) = x^{-2}",
"style": "rule"
}
|
{
"index": 5798,
"need_tools_kwargs": true,
"question": "Given that point M(2, $\\frac{1}{4}$) is on the graph of the power function $f(x)$, the expression for $f(x)$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what basketball position does the brother of Saulius Kuzminskas play?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "small forward",
"style": "rule"
}
|
{
"index": 5799,
"need_tools_kwargs": true,
"question": "In what basketball position does the brother of Saulius Kuzminskas play?",
"split": "train"
}
| null |
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