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": "已知二面角 \\alpha-l-\\beta 的平面角为 60^\\circ,A,D 为直线 l 上的两点,射线 DB 在平面 \\alpha 内,射线 DC 在平面 \\beta 内. 已知 \\angle BDA=45^\\circ, \\angle CDA=30^\\circ,则 \\cos\\angle BDC 等于 \\frac{k\\sqrt{m} + \\sqrt{n}}{p} 的形式,请给出 k+m+n+p 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 2700,
"need_tools_kwargs": true,
"question": "已知二面角 \\alpha-l-\\beta 的平面角为 60^\\circ,A,D 为直线 l 上的两点,射线 DB 在平面 \\alpha 内,射线 DC 在平面 \\beta 内. 已知 \\angle BDA=45^\\circ, \\angle CDA=30^\\circ,则 \\cos\\angle BDC 等于 \\frac{k\\sqrt{m} + \\sqrt{n}}{p} 的形式,请给出 k+m+n+p 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films Jurm (1990 Film) and Fever (1999 Film) have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2701,
"need_tools_kwargs": true,
"question": "Do both directors of films Jurm (1990 Film) and Fever (1999 Film) have the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A box contains 5 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are white?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{2}{11}",
"style": "rule"
}
|
{
"index": 2702,
"need_tools_kwargs": true,
"question": "A box contains 5 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are white?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Eric Jacobsen is a basketball player for a team representing the state of what? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "South Australia",
"style": "rule"
}
|
{
"index": 2703,
"need_tools_kwargs": true,
"question": "Eric Jacobsen is a basketball player for a team representing the state 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": "A square with a side length of 2 units is divided into a smaller central square and two congruent trapezoids by connecting the midpoint of each side to the center of the square. If the areas of the central square and each trapezoid are equal, determine the length \\( x \\) of the longer parallel side of one of the trapezoids.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 2704,
"need_tools_kwargs": true,
"question": "A square with a side length of 2 units is divided into a smaller central square and two congruent trapezoids by connecting the midpoint of each side to the center of the square. If the areas of the central square and each trapezoid are equal, determine the length \\( x \\) of the longer parallel side of one of the trapezoids.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For how many integers \\(1 \\leq k \\leq 2013\\) does the decimal representation of \\(k^k\\) end with a 1?",
"role": "user"
}
] |
math
|
{
"ground_truth": "202",
"style": "rule"
}
|
{
"index": 2705,
"need_tools_kwargs": true,
"question": "For how many integers \\(1 \\leq k \\leq 2013\\) does the decimal representation of \\(k^k\\) end with a 1?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of Hezekiah L. Hosmer's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Middletown, Connecticut",
"style": "rule"
}
|
{
"index": 2706,
"need_tools_kwargs": true,
"question": "Where was the place of death of Hezekiah L. Hosmer's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $x,$ $y,$ $z$ be positive real numbers. Find the set of all possible values of\n\\[f(x,y,z) = \\frac{x}{x + y} + \\frac{y}{y + z} + \\frac{z}{z + x}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1,2)",
"style": "rule"
}
|
{
"index": 2707,
"need_tools_kwargs": true,
"question": "Let $x,$ $y,$ $z$ be positive real numbers. Find the set of all possible values of\n\\[f(x,y,z) = \\frac{x}{x + y} + \\frac{y}{y + z} + \\frac{z}{z + 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": "Were Paavo Ruotsalainen and Richard Venable of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 2708,
"need_tools_kwargs": true,
"question": "Were Paavo Ruotsalainen and Richard Venable of the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The distance between locations A and B is 135 kilometers. Two cars, a large one and a small one, travel from A to B. The large car departs 4 hours earlier than the small car, but the small car arrives 30 minutes earlier than the large car. The speed ratio of the small car to the large car is 5:2. Find the speeds of both cars.",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 2709,
"need_tools_kwargs": true,
"question": "The distance between locations A and B is 135 kilometers. Two cars, a large one and a small one, travel from A to B. The large car departs 4 hours earlier than the small car, but the small car arrives 30 minutes earlier than the large car. The speed ratio of the small car to the large car is 5:2. Find the speeds of both cars.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Tony's favorite \"sport\" is a spectator event known as the $\\textit{Super Mega Ultra Galactic Thumbwrestling Championship}$ (SMUG TWC). During the $2008$ SMUG TWC, $2008$ professional thumb-wrestlers who have dedicated their lives to earning lithe, powerful thumbs, compete to earn the highest title of $\\textit{Thumbzilla}$. The SMUG TWC is designed so that, in the end, any set of three participants can share a banana split while telling FOX$^\\text{TM}$ television reporters about a bout between some pair of the three contestants. Given that there are exactly two contestants in each bout, let $m$ be the minimum number of bouts necessary to complete the SMUG TWC (so that the contestants can enjoy their banana splits and chat with reporters). Compute $m$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1007012",
"style": "rule"
}
|
{
"index": 2710,
"need_tools_kwargs": true,
"question": "Tony's favorite \"sport\" is a spectator event known as the $\\textit{Super Mega Ultra Galactic Thumbwrestling Championship}$ (SMUG TWC). During the $2008$ SMUG TWC, $2008$ professional thumb-wrestlers who have dedicated their lives to earning lithe, powerful thumbs, compete to earn the highest title of $\\textit{Thumbzilla}$. The SMUG TWC is designed so that, in the end, any set of three participants can share a banana split while telling FOX$^\\text{TM}$ television reporters about a bout between some pair of the three contestants. Given that there are exactly two contestants in each bout, let $m$ be the minimum number of bouts necessary to complete the SMUG TWC (so that the contestants can enjoy their banana splits and chat with reporters). Compute $m$.",
"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": "Gilbert F. Casellas is a director of a financial firm that operates in how many other countries outside the US?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "over 30",
"style": "rule"
}
|
{
"index": 2711,
"need_tools_kwargs": true,
"question": "Gilbert F. Casellas is a director of a financial firm that operates in how many other countries outside the US?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 man sells a car to his friend at a 12% loss, including a 10% sales tax, and after incurring a maintenance cost of 5% of the original cost price. If the friend sells the car for Rs. 54,000 and gains 20%, also including a 10% sales tax, find the original cost price of the car.",
"role": "user"
}
] |
math
|
{
"ground_truth": "48,387.09",
"style": "rule"
}
|
{
"index": 2712,
"need_tools_kwargs": true,
"question": "A man sells a car to his friend at a 12% loss, including a 10% sales tax, and after incurring a maintenance cost of 5% of the original cost price. If the friend sells the car for Rs. 54,000 and gains 20%, also including a 10% sales tax, find the original cost price of the car.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Francis Wilson (Economist)'s mother?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "26 October 1982",
"style": "rule"
}
|
{
"index": 2713,
"need_tools_kwargs": true,
"question": "What is the date of death of Francis Wilson (Economist)'s mother?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ratio must tea at Rs. 62 per kg be mixed with tea at a certain price per kg so that the mixture is worth Rs. 64.50 per kg? The required ratio is 3. What is the price of the second tea per kg?",
"role": "user"
}
] |
math
|
{
"ground_truth": "65.33",
"style": "rule"
}
|
{
"index": 2714,
"need_tools_kwargs": true,
"question": "In what ratio must tea at Rs. 62 per kg be mixed with tea at a certain price per kg so that the mixture is worth Rs. 64.50 per kg? The required ratio is 3. What is the price of the second tea per kg?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 coordinate plane, the curve $xy = 1$ intersects a circle at four points, three of which are $\\left( 2, \\frac{1}{2} \\right),$ $\\left( -5, -\\frac{1}{5} \\right),$ and $\\left( \\frac{1}{3}, 3 \\right).$ Find the fourth point of intersection.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( -0.3, -\\frac{10}{3} \\right)",
"style": "rule"
}
|
{
"index": 2715,
"need_tools_kwargs": true,
"question": "In the coordinate plane, the curve $xy = 1$ intersects a circle at four points, three of which are $\\left( 2, \\frac{1}{2} \\right),$ $\\left( -5, -\\frac{1}{5} \\right),$ and $\\left( \\frac{1}{3}, 3 \\right).$ Find the fourth point of intersection.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "100 people participated in a quick calculation test consisting of 10 questions. The number of people who answered each question correctly is given in the table below:\n\n\\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}\n\\hline \nProblem Number & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\\\n\\hline \nNumber of Correct Answers & 93 & 90 & 86 & 91 & 80 & 83 & 72 & 75 & 78 & 59 \\\\\n\\hline\n\\end{tabular}\n\nCriteria: To pass, one must answer at least 6 questions correctly. Based on the table, calculate the minimum number of people who passed.",
"role": "user"
}
] |
math
|
{
"ground_truth": "62",
"style": "rule"
}
|
{
"index": 2716,
"need_tools_kwargs": true,
"question": "100 people participated in a quick calculation test consisting of 10 questions. The number of people who answered each question correctly is given in the table below:\n\n\\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}\n\\hline \nProblem Number & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\\\n\\hline \nNumber of Correct Answers & 93 & 90 & 86 & 91 & 80 & 83 & 72 & 75 & 78 & 59 \\\\\n\\hline\n\\end{tabular}\n\nCriteria: To pass, one must answer at least 6 questions correctly. Based on the table, calculate the minimum number of people who passed.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Carson runs a carpool for five of his friends. The five of them cover all the gas expenses to compensate Carson for his time. Their total commute is 21 miles one way, gas costs $2.50/gallon, Carson's car gets 30 miles/gallon, and they commute to work 5 days a week, 4 weeks a month. How much does each person pay toward gas monthly?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$14",
"style": "rule"
}
|
{
"index": 2717,
"need_tools_kwargs": true,
"question": "Carson runs a carpool for five of his friends. The five of them cover all the gas expenses to compensate Carson for his time. Their total commute is 21 miles one way, gas costs $2.50/gallon, Carson's car gets 30 miles/gallon, and they commute to work 5 days a week, 4 weeks a month. How much does each person pay toward gas monthly?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 american comedy drama film about a titular dog includes actress Ann Dowd?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Marley & Me",
"style": "rule"
}
|
{
"index": 2718,
"need_tools_kwargs": true,
"question": "What american comedy drama film about a titular dog includes actress Ann Dowd?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of rhombus $ABCD$ is 24, and $\\angle BAD=60^\\circ$. What is the area of rhombus $BFDE$?\n\n[asy]\npair A,B,C,D,I,F;\nA=(0,0);\nB=(10,0);\nC=(15,8.7);\nD=(5,8.7);\nI=(5,2.88);\nF=(10,5.82);\ndraw(A--B--C--D--cycle,linewidth(0.7));\ndraw(D--I--B--F--cycle,linewidth(0.7));\nlabel(\"$A$\",A,SW);\nlabel(\"$B$\",B,SE);\nlabel(\"$C$\",C,NE);\nlabel(\"$D$\",D,NW);\nlabel(\"$E$\",I,W);\nlabel(\"$F$\",F,E);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 2719,
"need_tools_kwargs": true,
"question": "Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of rhombus $ABCD$ is 24, and $\\angle BAD=60^\\circ$. What is the area of rhombus $BFDE$?\n\n[asy]\npair A,B,C,D,I,F;\nA=(0,0);\nB=(10,0);\nC=(15,8.7);\nD=(5,8.7);\nI=(5,2.88);\nF=(10,5.82);\ndraw(A--B--C--D--cycle,linewidth(0.7));\ndraw(D--I--B--F--cycle,linewidth(0.7));\nlabel(\"$A$\",A,SW);\nlabel(\"$B$\",B,SE);\nlabel(\"$C$\",C,NE);\nlabel(\"$D$\",D,NW);\nlabel(\"$E$\",I,W);\nlabel(\"$F$\",F,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": "Interpersonal Reactivity Index was developed by Mark H. Davis, a professor at a school with a campus that is how large?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "188 acre",
"style": "rule"
}
|
{
"index": 2720,
"need_tools_kwargs": true,
"question": "Interpersonal Reactivity Index was developed by Mark H. Davis, a professor at a school with a campus that is how large?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Count all the distinct anagrams of the word \"YOANN\".",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 2721,
"need_tools_kwargs": true,
"question": "Count all the distinct anagrams of the word \"YOANN\".",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actress that played Penny Lane in \"Almost Famous\" co-starred with Naomi Watts in a 1997 film based on a novel by what author?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Diane Johnson",
"style": "rule"
}
|
{
"index": 2722,
"need_tools_kwargs": true,
"question": "The actress that played Penny Lane in \"Almost Famous\" co-starred with Naomi Watts in a 1997 film based on a novel by what author?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Points \\( A, B, C, \\) and \\( D \\) are located sequentially on a circle, and the degree measures of the smaller arcs \\( AB, BC, CD, \\) and \\( AD \\) are in the ratio of \\( 1:3:5:6 \\). Determine the measures of the angles of the quadrilateral \\( ABCD \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "961328448",
"style": "rule"
}
|
{
"index": 2723,
"need_tools_kwargs": true,
"question": "Points \\( A, B, C, \\) and \\( D \\) are located sequentially on a circle, and the degree measures of the smaller arcs \\( AB, BC, CD, \\) and \\( AD \\) are in the ratio of \\( 1:3:5:6 \\). Determine the measures of the angles of the quadrilateral \\( ABCD \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Can the stars in the equation $\\frac{*}{*}+\\frac{*}{*}+\\frac{*}{*}+\\frac{*}{*}=*$ be replaced with digits from 1 to 9, each used exactly once, so that the equation becomes correct?",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1, 3, 4, 8, 6, 9, 7, 2, 5)",
"style": "rule"
}
|
{
"index": 2724,
"need_tools_kwargs": true,
"question": "Can the stars in the equation $\\frac{*}{*}+\\frac{*}{*}+\\frac{*}{*}+\\frac{*}{*}=*$ be replaced with digits from 1 to 9, each used exactly once, so that the equation becomes correct?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each alloy should be used to make 1000 grams of an alloy that is 45% copper?",
"role": "user"
}
] |
math
|
{
"ground_truth": "45\\%",
"style": "rule"
}
|
{
"index": 2725,
"need_tools_kwargs": true,
"question": "An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each alloy should be used to make 1000 grams of an alloy that is 45% copper?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 right triangle \\(PQR\\), a circle is constructed on the leg \\(PR\\) as its diameter, which intersects the hypotenuse \\(PQ\\) at point \\(T\\). A tangent to the circle is drawn through point \\(T\\), and it intersects the leg \\(RQ\\) at point \\(S\\). Find the length of \\(SQ\\) if \\(PT = 15\\) and \\(QT = 5\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 2726,
"need_tools_kwargs": true,
"question": "In the right triangle \\(PQR\\), a circle is constructed on the leg \\(PR\\) as its diameter, which intersects the hypotenuse \\(PQ\\) at point \\(T\\). A tangent to the circle is drawn through point \\(T\\), and it intersects the leg \\(RQ\\) at point \\(S\\). Find the length of \\(SQ\\) if \\(PT = 15\\) and \\(QT = 5\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film The Cat In The Bag?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 22, 1994",
"style": "rule"
}
|
{
"index": 2727,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Cat In The Bag?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 country located where Denis Rennie is a football player?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "southeastern Caribbean Sea",
"style": "rule"
}
|
{
"index": 2728,
"need_tools_kwargs": true,
"question": "Where is the country located where Denis Rennie is a football player?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 33 positive integers between a certain number and 300 that are multiples of 9. What is the starting number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12,",
"style": "rule"
}
|
{
"index": 2729,
"need_tools_kwargs": true,
"question": "There are 33 positive integers between a certain number and 300 that are multiples of 9. What is the starting 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": "Anna Ranch Heritage Center is a former cattle ranch in a census-designated place with a population of what in 2010?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9,212",
"style": "rule"
}
|
{
"index": 2730,
"need_tools_kwargs": true,
"question": "Anna Ranch Heritage Center is a former cattle ranch in a census-designated place with a population of what in 2010?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 game of Connect Four, there are seven vertical columns which have spaces for six tokens, forming a \\(7 \\times 6\\) grid of spaces. Two players, White and Black, move alternately. A player takes a turn by picking a column that is not already full and dropping a token of their color into the lowest unoccupied space in that column. The game ends when one player has four consecutive tokens of their color in a line: either horizontally, vertically, or diagonally. The player who achieves this wins the game.\n\nAssume that the two players play this game randomly. Each player, on their turn, picks a random column that is not full and drops a token of their color into that column. This process continues until one player wins or all columns are filled. Let \\( P \\) be the probability that all columns are filled without any player obtaining four tokens in a row of their color. Estimate \\( P \\). \n\nAn estimate of \\( E > 0 \\) earns \\( \\lfloor 20 \\min (P / E, E / P)\\rfloor \\) points.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.0028",
"style": "rule"
}
|
{
"index": 2731,
"need_tools_kwargs": true,
"question": "In the game of Connect Four, there are seven vertical columns which have spaces for six tokens, forming a \\(7 \\times 6\\) grid of spaces. Two players, White and Black, move alternately. A player takes a turn by picking a column that is not already full and dropping a token of their color into the lowest unoccupied space in that column. The game ends when one player has four consecutive tokens of their color in a line: either horizontally, vertically, or diagonally. The player who achieves this wins the game.\n\nAssume that the two players play this game randomly. Each player, on their turn, picks a random column that is not full and drops a token of their color into that column. This process continues until one player wins or all columns are filled. Let \\( P \\) be the probability that all columns are filled without any player obtaining four tokens in a row of their color. Estimate \\( P \\). \n\nAn estimate of \\( E > 0 \\) earns \\( \\lfloor 20 \\min (P / E, E / P)\\rfloor \\) points.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ and $b$ be positive real numbers such that $\\log_{43}{a} = \\log_{47} (3a + 4b) = \\log_{2021}b^2$. Then, the value of $\\frac{b^2}{a^2}$ can be written as $m + \\sqrt{n}$, where $m$ and $n$ are integers. Find $m + n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "123",
"style": "rule"
}
|
{
"index": 2732,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be positive real numbers such that $\\log_{43}{a} = \\log_{47} (3a + 4b) = \\log_{2021}b^2$. Then, the value of $\\frac{b^2}{a^2}$ can be written as $m + \\sqrt{n}$, where $m$ and $n$ are integers. Find $m + n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "what type of animal is a wild ibex",
"role": "user"
}
] |
qa
|
{
"ground_truth": "wild goat",
"style": "rule"
}
|
{
"index": 2733,
"need_tools_kwargs": true,
"question": "what type of animal is a wild ibex",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song Tuya (Song) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "San Antonio, Texas",
"style": "rule"
}
|
{
"index": 2734,
"need_tools_kwargs": true,
"question": "Where was the performer of song Tuya (Song) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first, Richard Curtis or Satoshi Kon?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Richard Whalley Anthony Curtis",
"style": "rule"
}
|
{
"index": 2735,
"need_tools_kwargs": true,
"question": "Who was born first, Richard Curtis or Satoshi Kon?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $ABCD$ be a square face of a cube with edge length $2$. A plane $P$ that contains point $A$ and the midpoint of line segment $\\overline{BC}$ splits the cube into two pieces of equal volume. What is the square of the area of the intersection of plane $P$ and the cube?",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 2736,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be a square face of a cube with edge length $2$. A plane $P$ that contains point $A$ and the midpoint of line segment $\\overline{BC}$ splits the cube into two pieces of equal volume. What is the square of the area of the intersection of plane $P$ and the cube?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where is the stadium where 2015 Cotton Bowl Classic is played on located ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Arlington, Texas, United States",
"style": "rule"
}
|
{
"index": 2737,
"need_tools_kwargs": true,
"question": "Where is the stadium where 2015 Cotton Bowl Classic is played on located ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the crater on Mercury named after Kurt Vonnegut referred to in scientific literature prior to its naming?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "e5",
"style": "rule"
}
|
{
"index": 2738,
"need_tools_kwargs": true,
"question": "What was the crater on Mercury named after Kurt Vonnegut referred to in scientific literature prior to its naming?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 1996 Detroit Tigers season included a fomer Major League first baseman who is hthe current executive director of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Major League Baseball Players Association",
"style": "rule"
}
|
{
"index": 2739,
"need_tools_kwargs": true,
"question": "The 1996 Detroit Tigers season included a fomer Major League first baseman who is hthe current executive director 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": "Why did Pankaja Munde's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "road accident",
"style": "rule"
}
|
{
"index": 2740,
"need_tools_kwargs": true,
"question": "Why did Pankaja Munde's father 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": "如图2,AB是半圆$\\odot O$ 的直径$,C,D$ 是半圆上的两个动点,且$CD//AB.$若半圆$\\odot O$的半径为1,则梯形 ABCD 周长的最大值是",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 2741,
"need_tools_kwargs": true,
"question": "如图2,AB是半圆$\\odot O$ 的直径$,C,D$ 是半圆上的两个动点,且$CD//AB.$若半圆$\\odot O$的半径为1,则梯形 ABCD 周长的最大值是",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, Walk The Angry Beach or Resident Evil: Retribution?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Walk The Angry Beach",
"style": "rule"
}
|
{
"index": 2742,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, Walk The Angry Beach or Resident Evil: Retribution?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If, in the expansion of \\((a + 2b)^n\\), there exist three consecutive terms whose binomial coefficients form an arithmetic progression, then the largest three-digit positive integer \\(n\\) is _____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "959",
"style": "rule"
}
|
{
"index": 2743,
"need_tools_kwargs": true,
"question": "If, in the expansion of \\((a + 2b)^n\\), there exist three consecutive terms whose binomial coefficients form an arithmetic progression, then the largest three-digit positive integer \\(n\\) 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": "How many World Series championships has the third team that Chad Fox played for won? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "eight",
"style": "rule"
}
|
{
"index": 2744,
"need_tools_kwargs": true,
"question": "How many World Series championships has the third team that Chad Fox played for won? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a 4-by-4 grid of lattice points:\n\n[asy]\nsize(40);\ndot((0,0));\ndot((1,0));\ndot((2,0));\ndot((3,0));\ndot((0,1));\ndot((1,1));\ndot((2,1));\ndot((3,1));\ndot((0,2));\ndot((1,2));\ndot((2,2));\ndot((3,2));\ndot((0,3));\ndot((1,3));\ndot((2,3));\ndot((3,3));\n[/asy]\n\nHow many different lines pass through at least two points in this grid?",
"role": "user"
}
] |
math
|
{
"ground_truth": "72",
"style": "rule"
}
|
{
"index": 2745,
"need_tools_kwargs": true,
"question": "Consider a 4-by-4 grid of lattice points:\n\n[asy]\nsize(40);\ndot((0,0));\ndot((1,0));\ndot((2,0));\ndot((3,0));\ndot((0,1));\ndot((1,1));\ndot((2,1));\ndot((3,1));\ndot((0,2));\ndot((1,2));\ndot((2,2));\ndot((3,2));\ndot((0,3));\ndot((1,3));\ndot((2,3));\ndot((3,3));\n[/asy]\n\nHow many different lines pass through at least two points in this grid?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 won six awards at the music awards 20 October 1998 at the Sydney Convention & Exhibition Centrer, and n the early 1990s, she played Beth Brennan in the Australian soap opera \"Neighbours\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Natalie Jane Imbruglia",
"style": "rule"
}
|
{
"index": 2746,
"need_tools_kwargs": true,
"question": "Who won six awards at the music awards 20 October 1998 at the Sydney Convention & Exhibition Centrer, and n the early 1990s, she played Beth Brennan in the Australian soap opera \"Neighbours\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mary divides a circle into 15 sectors. The central angles of these sectors, measured in degrees, are all integers and they form an arithmetic sequence. What is the degree measure of the smallest possible sector angle?\nA) 6\nB) 8\nC) 10\nD) 12\nE) 14",
"role": "user"
}
] |
math
|
{
"ground_truth": "The final answer is \\( \\boxed{C} \\)",
"style": "rule"
}
|
{
"index": 2747,
"need_tools_kwargs": true,
"question": "Mary divides a circle into 15 sectors. The central angles of these sectors, measured in degrees, are all integers and they form an arithmetic sequence. What is the degree measure of the smallest possible sector angle?\nA) 6\nB) 8\nC) 10\nD) 12\nE) 14",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the composer of film The Young Nun 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "13 December 1920",
"style": "rule"
}
|
{
"index": 2748,
"need_tools_kwargs": true,
"question": "When is the composer of film The Young Nun 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider all polynomials $P(x)$ with real coefficients that have the following property: for any two real numbers $x$ and $y$ one has $|y^2-P(x)|\\leqslant2|x|$ if and only if $|x^2-P(y)|\\leqslant2|y|$. Determines the positive integer value in the set of possible values for P(0).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 2749,
"need_tools_kwargs": true,
"question": "Consider all polynomials $P(x)$ with real coefficients that have the following property: for any two real numbers $x$ and $y$ one has $|y^2-P(x)|\\leqslant2|x|$ if and only if $|x^2-P(y)|\\leqslant2|y|$. Determines the positive integer value in the set of possible values for P(0).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who did Natasha Merle start her legal career with as a law clerk in New York from 2008 to 2009?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Judge Robert L. Carter",
"style": "rule"
}
|
{
"index": 2750,
"need_tools_kwargs": true,
"question": "Who did Natasha Merle start her legal career with as a law clerk in New York from 2008 to 2009?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Was Rudolf Schwarzkogler closely associated with the Viennese Actionism group, while Howard Zieff was an American television commercial director?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 2751,
"need_tools_kwargs": true,
"question": "Was Rudolf Schwarzkogler closely associated with the Viennese Actionism group, while Howard Zieff was an American television commercial director?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 84 positive integer solutions for an equation involving x, y, z, and t. The equation is x + y + z + t = 10. What is the value of t in one of the solutions?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 2752,
"need_tools_kwargs": true,
"question": "There are 84 positive integer solutions for an equation involving x, y, z, and t. The equation is x + y + z + t = 10. What is the value of t in one of the solutions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 mathematician received the Breakthrough Prize in Mathematics in 2014, Maxim Kontsevich or Mark Krein?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Maxim Lvovich Kontsevich",
"style": "rule"
}
|
{
"index": 2753,
"need_tools_kwargs": true,
"question": "Which mathematician received the Breakthrough Prize in Mathematics in 2014, Maxim Kontsevich or Mark Krein?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 institute is this American football coach currently serving as head coach, who led 2013 Boise State Broncos football team?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Washington",
"style": "rule"
}
|
{
"index": 2754,
"need_tools_kwargs": true,
"question": "Which institute is this American football coach currently serving as head coach, who led 2013 Boise State Broncos football team?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Frédéric Boulanger's wife die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23 July 1850",
"style": "rule"
}
|
{
"index": 2755,
"need_tools_kwargs": true,
"question": "When did Frédéric Boulanger's wife 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": "What is the date of death of the composer of film Tommy (2015 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "15 December 2014",
"style": "rule"
}
|
{
"index": 2756,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Tommy (2015 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given an arithmetic sequence $\\{a_{n}\\}$ and $\\{b_{n}\\}$, where the sums of the first $n$ terms are $S_{n}$ and $T_{n}$, respectively, and $\\left(2n+3\\right)S_{n}=nT_{n}$, calculate the value of $\\frac{{{a_5}}}{{{b_6}}}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{9}{25}",
"style": "rule"
}
|
{
"index": 2757,
"need_tools_kwargs": true,
"question": "Given an arithmetic sequence $\\{a_{n}\\}$ and $\\{b_{n}\\}$, where the sums of the first $n$ terms are $S_{n}$ and $T_{n}$, respectively, and $\\left(2n+3\\right)S_{n}=nT_{n}$, calculate the value of $\\frac{{{a_5}}}{{{b_6}}}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 hit song, sung by Rihanna was featured on her fifth studio album \"Loud\" and reached number one on the US Billboard Hot 100?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"What's My Name?\"",
"style": "rule"
}
|
{
"index": 2758,
"need_tools_kwargs": true,
"question": "What hit song, sung by Rihanna was featured on her fifth studio album \"Loud\" and reached number one on the US Billboard Hot 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": "There are 4 male students and 2 female students taking the photo. The male student named \"甲\" cannot stand at either end, and the female students must stand next to each other. Find the number of ways to arrange the students.",
"role": "user"
}
] |
math
|
{
"ground_truth": "144",
"style": "rule"
}
|
{
"index": 2759,
"need_tools_kwargs": true,
"question": "There are 4 male students and 2 female students taking the photo. The male student named \"甲\" cannot stand at either end, and the female students must stand next to each other. Find the number of ways to arrange the students.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 do smaller gaps between tread cause a regular tire in the mud to resemble a slick tyre?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Smaller gaps trap the mud in between the tire lugs",
"style": "rule"
}
|
{
"index": 2760,
"need_tools_kwargs": true,
"question": "How do smaller gaps between tread cause a regular tire in the mud to resemble a slick tyre?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Write the number in the form of a fraction (if possible):\n\n$$\nx=0.5123412341234123412341234123412341234 \\ldots\n$$\n\nCan you generalize this method to all real numbers with a periodic decimal expansion? And conversely?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{51229}{99990}",
"style": "rule"
}
|
{
"index": 2761,
"need_tools_kwargs": true,
"question": "Write the number in the form of a fraction (if possible):\n\n$$\nx=0.5123412341234123412341234123412341234 \\ldots\n$$\n\nCan you generalize this method to all real numbers with a periodic decimal expansion? And conversely?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Quadrilateral $ABCD$ is neither a kite nor a rectangle. It is known that its side lengths are integers, $AB = 6$, $BC = 7$, and $\\angle B = \\angle D = 90^\\circ$. Find the area of $ABCD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 2762,
"need_tools_kwargs": true,
"question": "Quadrilateral $ABCD$ is neither a kite nor a rectangle. It is known that its side lengths are integers, $AB = 6$, $BC = 7$, and $\\angle B = \\angle D = 90^\\circ$. Find the area of $ABCD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are $8$ balls of the same size, including $4$ different black balls, $2$ different red balls, and $2$ different yellow balls.<br/>$(1)$ Arrange these $8$ balls in a line, with the black balls together, the 2 red balls adjacent, and the 2 yellow balls not adjacent. Find the number of ways to arrange them;<br/>$(2)$ Take out $4$ balls from these $8$ balls, ensuring that balls of each color are taken. Find the number of ways to do so;<br/>$(3)$ Divide these $8$ balls into three groups, each group having at least $2$ balls. Find the number of ways to divide them.",
"role": "user"
}
] |
math
|
{
"ground_truth": "490",
"style": "rule"
}
|
{
"index": 2763,
"need_tools_kwargs": true,
"question": "There are $8$ balls of the same size, including $4$ different black balls, $2$ different red balls, and $2$ different yellow balls.<br/>$(1)$ Arrange these $8$ balls in a line, with the black balls together, the 2 red balls adjacent, and the 2 yellow balls not adjacent. Find the number of ways to arrange them;<br/>$(2)$ Take out $4$ balls from these $8$ balls, ensuring that balls of each color are taken. Find the number of ways to do so;<br/>$(3)$ Divide these $8$ balls into three groups, each group having at least $2$ balls. Find the number of ways to divide them.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Love Thy Neighbor (1940 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 2764,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Love Thy Neighbor (1940 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the Australian politician born who represented the Goulburn electoral district?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Adelaide",
"style": "rule"
}
|
{
"index": 2765,
"need_tools_kwargs": true,
"question": "Where did the Australian politician born who represented the Goulburn electoral district?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let the triangle $ABC$ have area $1$ . The interior bisectors of the angles $\\angle BAC,\\angle ABC, \\angle BCA$ intersect the sides $(BC), (AC), (AB) $ and the circumscribed circle of the respective triangle $ABC$ at the points $L$ and $G, N$ and $F, Q$ and $E$ . The lines $EF, FG,GE$ intersect the bisectors $(AL), (CQ) ,(BN)$ respectively at points $P, M, R$ . Determine the area of the hexagon $LMNPR$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "1/2",
"style": "rule"
}
|
{
"index": 2766,
"need_tools_kwargs": true,
"question": "Let the triangle $ABC$ have area $1$ . The interior bisectors of the angles $\\angle BAC,\\angle ABC, \\angle BCA$ intersect the sides $(BC), (AC), (AB) $ and the circumscribed circle of the respective triangle $ABC$ at the points $L$ and $G, N$ and $F, Q$ and $E$ . The lines $EF, FG,GE$ intersect the bisectors $(AL), (CQ) ,(BN)$ respectively at points $P, M, R$ . Determine the area of the hexagon $LMNPR$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born first, Crooked Straight or Immortal Light?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Crooked Straight",
"style": "rule"
}
|
{
"index": 2767,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Crooked Straight or Immortal Light?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 person has been in the music business for longer, Daron Malakian or John Garabedian?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John H. Garabedian",
"style": "rule"
}
|
{
"index": 2768,
"need_tools_kwargs": true,
"question": "Which person has been in the music business for longer, Daron Malakian or John Garabedian?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Triangle $ABC$ is a right triangle with legs $AB$ and $AC$. Points $X$ and $Y$ lie on legs $AB$ and $AC$, respectively, so that $AX:XB = AY:YC = 1:2$. If $BY = 16$ units, and $CX = 28$ units, what is the length of hypotenuse $BC$? Express your answer in simplest radical form.",
"role": "user"
}
] |
math
|
{
"ground_truth": "final_solution_mag assured clean",
"style": "rule"
}
|
{
"index": 2769,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ is a right triangle with legs $AB$ and $AC$. Points $X$ and $Y$ lie on legs $AB$ and $AC$, respectively, so that $AX:XB = AY:YC = 1:2$. If $BY = 16$ units, and $CX = 28$ units, what is the length of hypotenuse $BC$? Express your answer in simplest radical form.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sum of four two-digit numbers is 221. None of the eight digits is $0$ and no two of them are the same. Determine which of the digits $1$ through $9$ does not appear in one of the four two-digit numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 2770,
"need_tools_kwargs": true,
"question": "The sum of four two-digit numbers is 221. None of the eight digits is $0$ and no two of them are the same. Determine which of the digits $1$ through $9$ does not appear in one of the four two-digit 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": "What book written by Erika Mitchell was first published in April 2012?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fifty Shades Freed",
"style": "rule"
}
|
{
"index": 2771,
"need_tools_kwargs": true,
"question": "What book written by Erika Mitchell was first published in April 2012?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Elizabeth Somerset, Countess Of Worcester (Wife Of The 4Th Earl)'s husband die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "3 March 1628",
"style": "rule"
}
|
{
"index": 2772,
"need_tools_kwargs": true,
"question": "When did Elizabeth Somerset, Countess Of Worcester (Wife Of The 4Th Earl)'s husband die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where is the builder of The V/Line RTL class headquartered?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Portland, Oregon",
"style": "rule"
}
|
{
"index": 2773,
"need_tools_kwargs": true,
"question": "Where is the builder of The V/Line RTL class headquartered?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Five identical squares and two rectangles are arranged to form one large square. The large square consists of three rows and columns of shapes: the first row and the last row each contain two squares and one rectangle in the middle, while the middle row contains three squares. If all the small squares have a side length of \\( a \\) and the rectangles each have a width of \\( a \\), what is the ratio of the combined area of the two rectangles to the area of one square?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 2774,
"need_tools_kwargs": true,
"question": "Five identical squares and two rectangles are arranged to form one large square. The large square consists of three rows and columns of shapes: the first row and the last row each contain two squares and one rectangle in the middle, while the middle row contains three squares. If all the small squares have a side length of \\( a \\) and the rectangles each have a width of \\( a \\), what is the ratio of the combined area of the two rectangles to the area of one square?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $g(x)$ be a polynomial of degree 2010 with real coefficients, and let its roots be $s_1, s_2, \\dots, s_{2010}$. There are exactly 1005 distinct values among $|s_1|, |s_2|, \\dots, |s_{2010}|$. What is the minimum number of real roots that $g(x)$ can have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 2775,
"need_tools_kwargs": true,
"question": "Let $g(x)$ be a polynomial of degree 2010 with real coefficients, and let its roots be $s_1, s_2, \\dots, s_{2010}$. There are exactly 1005 distinct values among $|s_1|, |s_2|, \\dots, |s_{2010}|$. What is the minimum number of real roots that $g(x)$ can have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 class monitor wants to buy soda in batches for all 50 students and teachers in the class for the sports day. According to the store's policy, every 5 empty bottles can be exchanged for one soda bottle, so there is no need to buy 50 bottles of soda. Then, the minimum number of soda bottles that need to be bought to ensure everyone gets one bottle of soda is .",
"role": "user"
}
] |
math
|
{
"ground_truth": "40",
"style": "rule"
}
|
{
"index": 2776,
"need_tools_kwargs": true,
"question": "The class monitor wants to buy soda in batches for all 50 students and teachers in the class for the sports day. According to the store's policy, every 5 empty bottles can be exchanged for one soda bottle, so there is no need to buy 50 bottles of soda. Then, the minimum number of soda bottles that need to be bought to ensure everyone gets one bottle of soda 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": "对于和为 1 的非负实数 $x_{0}$, $x_{1}, \\cdots, x_{n}$, 约定 $x_{n+1}=x_{1}$ 。 求\n$$\nS=\\sqrt{x_{0}+\\sum_{i=1}^{n} \\frac{\\left(x_{i}-x_{i+1}\\right)^{2}}{2 n}}+\\sum_{i=1}^{n} \\sqrt{x_{i}}(n \\geqslant 3)\n$$\n的最大值. 请提供当 n = 3 时的最大值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 2777,
"need_tools_kwargs": true,
"question": "对于和为 1 的非负实数 $x_{0}$, $x_{1}, \\cdots, x_{n}$, 约定 $x_{n+1}=x_{1}$ 。 求\n$$\nS=\\sqrt{x_{0}+\\sum_{i=1}^{n} \\frac{\\left(x_{i}-x_{i+1}\\right)^{2}}{2 n}}+\\sum_{i=1}^{n} \\sqrt{x_{i}}(n \\geqslant 3)\n$$\n的最大值. 请提供当 n = 3 时的最大值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Butautas attempted to depose the uncle who ruled the Lithuanians during what period?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1345 to 1377",
"style": "rule"
}
|
{
"index": 2778,
"need_tools_kwargs": true,
"question": "Butautas attempted to depose the uncle who ruled the Lithuanians during what period?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of Margaret Of France, Queen Of England's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Perpignan",
"style": "rule"
}
|
{
"index": 2779,
"need_tools_kwargs": true,
"question": "Where was the place of death of Margaret Of France, Queen Of England's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The 1982 Swiss Grand Prix ended in a 3rd place finish for the 3-time F1 champion from what nation?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Austrian",
"style": "rule"
}
|
{
"index": 2780,
"need_tools_kwargs": true,
"question": "The 1982 Swiss Grand Prix ended in a 3rd place finish for the 3-time F1 champion from what nation?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the spouse of the director of film One Hundred Men And A Girl?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Peggy Moran",
"style": "rule"
}
|
{
"index": 2781,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film One Hundred Men And A Girl?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Shadow Dawn is the second book on the continuation of the events from the motion picture directed by whom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ron Howard",
"style": "rule"
}
|
{
"index": 2782,
"need_tools_kwargs": true,
"question": "Shadow Dawn is the second book on the continuation of the events from the motion picture directed by whom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The numbers \\(1, 2, 3, \\ldots, 10\\) are written in some order around a circle. Peter computed the sums of all 10 triples of neighboring numbers and wrote the smallest of these sums on the board. What is the maximum possible number that could have been written on the board?",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 2783,
"need_tools_kwargs": true,
"question": "The numbers \\(1, 2, 3, \\ldots, 10\\) are written in some order around a circle. Peter computed the sums of all 10 triples of neighboring numbers and wrote the smallest of these sums on the board. What is the maximum possible number that could have been written on the board?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film It Runs In The Family (2003 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Australian",
"style": "rule"
}
|
{
"index": 2784,
"need_tools_kwargs": true,
"question": "What nationality is the director of film It Runs In The Family (2003 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": "Discosis is the second album from a group founded by who ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "DJ James Di Salvio and E.P. Bergen",
"style": "rule"
}
|
{
"index": 2785,
"need_tools_kwargs": true,
"question": "Discosis is the second album from a group founded by who ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the largest two-digit number that is divisible by both of its digits, and the digits are distinct?",
"role": "user"
}
] |
math
|
{
"ground_truth": "48",
"style": "rule"
}
|
{
"index": 2786,
"need_tools_kwargs": true,
"question": "What is the largest two-digit number that is divisible by both of its digits, and the digits are distinct?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who is older, Heera Panna or The Fuller Brush Girl?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Fuller Brush Girl",
"style": "rule"
}
|
{
"index": 2787,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Heera Panna or The Fuller Brush Girl?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Watch Me Do was co-written by the rapper who best known for what 2015 single?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bills",
"style": "rule"
}
|
{
"index": 2788,
"need_tools_kwargs": true,
"question": "Watch Me Do was co-written by the rapper who best known for what 2015 single?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Points \\( A_{1}, A_{2}, A_{3}, A_{4}, A_{5}, A_{6} \\) divide a circle of radius 1 into six equal parts. From \\( A_{1} \\), a ray \\( l_{1} \\) is drawn in the direction of \\( A_{2} \\); from \\( A_{2} \\), a ray \\( l_{2} \\) is drawn in the direction of \\( A_{3} \\), and so on, from \\( A_{6} \\), a ray \\( l_{6} \\) is drawn in the direction of \\( A_{1} \\). From a point \\( B_{1} \\), taken on the ray \\( l_{1} \\), a perpendicular is dropped onto ray \\( l_{6} \\), from the base of this perpendicular another perpendicular is dropped onto \\( l_{5} \\), and so on. The base of the sixth perpendicular coincides with \\( B_{1} \\). Find the segment \\( B_{1} A_{1} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 2789,
"need_tools_kwargs": true,
"question": "Points \\( A_{1}, A_{2}, A_{3}, A_{4}, A_{5}, A_{6} \\) divide a circle of radius 1 into six equal parts. From \\( A_{1} \\), a ray \\( l_{1} \\) is drawn in the direction of \\( A_{2} \\); from \\( A_{2} \\), a ray \\( l_{2} \\) is drawn in the direction of \\( A_{3} \\), and so on, from \\( A_{6} \\), a ray \\( l_{6} \\) is drawn in the direction of \\( A_{1} \\). From a point \\( B_{1} \\), taken on the ray \\( l_{1} \\), a perpendicular is dropped onto ray \\( l_{6} \\), from the base of this perpendicular another perpendicular is dropped onto \\( l_{5} \\), and so on. The base of the sixth perpendicular coincides with \\( B_{1} \\). Find the segment \\( B_{1} A_{1} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A ball bounces back up $\\frac{3}{4}$ of the height from which it falls. If the ball is dropped from a height of $256$ cm, after how many bounces does the ball first rise less than $20$ cm?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 2790,
"need_tools_kwargs": true,
"question": "A ball bounces back up $\\frac{3}{4}$ of the height from which it falls. If the ball is dropped from a height of $256$ cm, after how many bounces does the ball first rise less than $20$ cm?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\{a_n\\}$ is a geometric sequence with $a_1=1$, the sum of the first $n$ terms is $S_n$, and $\\frac{S_6}{S_3}=28$. The sum of the first $n$ terms of the sequence $\\{b_n\\}$ is $T_n$, and the point $(n, T_n)$ lies on the parabola $y= \\frac{1}{2}x^2+ \\frac{1}{2}x$.\n\n$(1)$ Find the general formula for $\\{a_n\\}$ and $\\{b_n\\}$;\n\n$(2)$ Let $c_n=a_n\\cdot b_n$, find the sum of the first $n$ terms of $\\{c_n\\}$, denoted as $S'_n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{(2n-1)3^n + 1}{4}",
"style": "rule"
}
|
{
"index": 2791,
"need_tools_kwargs": true,
"question": "Given that $\\{a_n\\}$ is a geometric sequence with $a_1=1$, the sum of the first $n$ terms is $S_n$, and $\\frac{S_6}{S_3}=28$. The sum of the first $n$ terms of the sequence $\\{b_n\\}$ is $T_n$, and the point $(n, T_n)$ lies on the parabola $y= \\frac{1}{2}x^2+ \\frac{1}{2}x$.\n\n$(1)$ Find the general formula for $\\{a_n\\}$ and $\\{b_n\\}$;\n\n$(2)$ Let $c_n=a_n\\cdot b_n$, find the sum of the first $n$ terms of $\\{c_n\\}$, denoted as $S'_n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When a jar is one-fifth filled with water, it weighs $560 \\mathrm{~g}$. When the same jar is four-fifths filled with water, it weighs $740 \\mathrm{~g}$. What is the weight of the empty jar?\n\nA $60 \\mathrm{~g}$\nB $\\quad 112 \\mathrm{~g}$\nC $180 \\mathrm{~g}$\nD $300 \\mathrm{~g}$\nE $500 \\mathrm{~g}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "500 \\, \\mathrm{g}",
"style": "rule"
}
|
{
"index": 2792,
"need_tools_kwargs": true,
"question": "When a jar is one-fifth filled with water, it weighs $560 \\mathrm{~g}$. When the same jar is four-fifths filled with water, it weighs $740 \\mathrm{~g}$. What is the weight of the empty jar?\n\nA $60 \\mathrm{~g}$\nB $\\quad 112 \\mathrm{~g}$\nC $180 \\mathrm{~g}$\nD $300 \\mathrm{~g}$\nE $500 \\mathrm{~g}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first out of Hocine Tafer and Anne Ehscheidt?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Anne Ehscheidt",
"style": "rule"
}
|
{
"index": 2793,
"need_tools_kwargs": true,
"question": "Who was born first out of Hocine Tafer and Anne Ehscheidt?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two vertical towers, \\( AB \\) and \\( CD \\), are located \\( 16 \\mathrm{~m} \\) apart on flat ground. Tower \\( AB \\) is \\( 18 \\mathrm{~m} \\) tall and tower \\( CD \\) is \\( 30 \\mathrm{~m} \\) tall. Ropes are tied from \\( A \\) to \\( C \\) and from \\( B \\) to \\( C \\). Assuming the ropes are taut, calculate the total length of rope, in \\(\\mathrm{m}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "54",
"style": "rule"
}
|
{
"index": 2794,
"need_tools_kwargs": true,
"question": "Two vertical towers, \\( AB \\) and \\( CD \\), are located \\( 16 \\mathrm{~m} \\) apart on flat ground. Tower \\( AB \\) is \\( 18 \\mathrm{~m} \\) tall and tower \\( CD \\) is \\( 30 \\mathrm{~m} \\) tall. Ropes are tied from \\( A \\) to \\( C \\) and from \\( B \\) to \\( C \\). Assuming the ropes are taut, calculate the total length of rope, in \\(\\mathrm{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": "You want to connect 25 centimeters (cm) long tapes by overlapping the next tape by 3 centimeters (cm). What is the total length in centimeters (cm) of 64 sheets of tape?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1411",
"style": "rule"
}
|
{
"index": 2795,
"need_tools_kwargs": true,
"question": "You want to connect 25 centimeters (cm) long tapes by overlapping the next tape by 3 centimeters (cm). What is the total length in centimeters (cm) of 64 sheets of tape?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Maths Premier League, teams get 3 points for a win, 1 point for a draw, and 0 points for a loss. Last year, my team played 38 games and got 80 points. We won more than twice the number of games we drew and more than five times the number of games we lost. How many games did we draw?\nA. 8\nB. 9\nC. 10\nD. 11\nE. 14",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 2796,
"need_tools_kwargs": true,
"question": "In the Maths Premier League, teams get 3 points for a win, 1 point for a draw, and 0 points for a loss. Last year, my team played 38 games and got 80 points. We won more than twice the number of games we drew and more than five times the number of games we lost. How many games did we draw?\nA. 8\nB. 9\nC. 10\nD. 11\nE. 14",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song Forget Him (Teresa Teng Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "8 May 1995",
"style": "rule"
}
|
{
"index": 2797,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Forget Him (Teresa Teng Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A theater charges a certain amount for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 370 tickets were sold for a total cost of $3,320. That night, 190 more tickets were sold for seats in the balcony than for seats in the orchestra. What is the cost of a seat in the orchestra?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$12",
"style": "rule"
}
|
{
"index": 2798,
"need_tools_kwargs": true,
"question": "A theater charges a certain amount for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 370 tickets were sold for a total cost of $3,320. That night, 190 more tickets were sold for seats in the balcony than for seats in the orchestra. What is the cost of a seat in the orchestra?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American web televison series, which is set in the MCU, stars an actress who is also known as \"what\" for having rolls in horror films such as \"Prom Night\" and \"Vampire Bats\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "scream queen",
"style": "rule"
}
|
{
"index": 2799,
"need_tools_kwargs": true,
"question": "The American web televison series, which is set in the MCU, stars an actress who is also known as \"what\" for having rolls in horror films such as \"Prom Night\" and \"Vampire Bats\"?",
"split": "train"
}
| null |
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