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": "During the Spring Festival, a supermarket holds a promotional lottery event. When the amount spent by a customer reaches a certain threshold, they can participate in a lottery. The rules of the event are: from a box containing 3 black balls, 2 red balls, and 1 white ball (identical except for color), customers can draw balls.\n(Ⅰ) If the customer spends more than 100 yuan but no more than 500 yuan, they can draw 2 balls at once. Each black ball drawn is rewarded with 1 yuan in cash, each red ball is rewarded with 2 yuan in cash, and each white ball is rewarded with 3 yuan in cash. Calculate the probability that the total reward money is at least 4 yuan.\n(Ⅱ) If the purchase amount exceeds 500 yuan, they can draw twice from the box, drawing one ball each time and then returning it before drawing again. Each black ball and white ball drawn is rewarded with 5 yuan in cash, and each red ball is rewarded with 10 yuan in cash. Calculate the probability that the total reward money is less than 20 yuan.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{8}{9}",
"style": "rule"
}
|
{
"index": 7900,
"need_tools_kwargs": true,
"question": "During the Spring Festival, a supermarket holds a promotional lottery event. When the amount spent by a customer reaches a certain threshold, they can participate in a lottery. The rules of the event are: from a box containing 3 black balls, 2 red balls, and 1 white ball (identical except for color), customers can draw balls.\n(Ⅰ) If the customer spends more than 100 yuan but no more than 500 yuan, they can draw 2 balls at once. Each black ball drawn is rewarded with 1 yuan in cash, each red ball is rewarded with 2 yuan in cash, and each white ball is rewarded with 3 yuan in cash. Calculate the probability that the total reward money is at least 4 yuan.\n(Ⅱ) If the purchase amount exceeds 500 yuan, they can draw twice from the box, drawing one ball each time and then returning it before drawing again. Each black ball and white ball drawn is rewarded with 5 yuan in cash, and each red ball is rewarded with 10 yuan in cash. Calculate the probability that the total reward money is less than 20 yuan.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 tracks are there on the album Memeza by Brenda Fassie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 7901,
"need_tools_kwargs": true,
"question": "How many tracks are there on the album Memeza by Brenda Fassie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the smallest natural number written in the decimal system such that the product of its digits equals $10! = 1 \\times 2 \\times 3 \\times \\ldots \\times 9 \\times 10$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "45578899",
"style": "rule"
}
|
{
"index": 7902,
"need_tools_kwargs": true,
"question": "Determine the smallest natural number written in the decimal system such that the product of its digits equals $10! = 1 \\times 2 \\times 3 \\times \\ldots \\times 9 \\times 10$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Several people were seated around a round table such that the distances between neighboring people were equal. One of them was given a card with the number 1, and the rest were given cards with numbers 2, 3, and so on, in a clockwise direction.\n\nThe person with the card numbered 31 noticed that the distance from him to the person with the card numbered 7 is the same as the distance to the person with the card numbered 14. How many people are seated at the table in total?",
"role": "user"
}
] |
math
|
{
"ground_truth": "41",
"style": "rule"
}
|
{
"index": 7903,
"need_tools_kwargs": true,
"question": "Several people were seated around a round table such that the distances between neighboring people were equal. One of them was given a card with the number 1, and the rest were given cards with numbers 2, 3, and so on, in a clockwise direction.\n\nThe person with the card numbered 31 noticed that the distance from him to the person with the card numbered 7 is the same as the distance to the person with the card numbered 14. How many people are seated at the table in total?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 owns the radio station in Boston which has a transmitter on top of a building designed by Charles Luckman and Associates for Prudential Insurance?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Beasley Broadcast Group",
"style": "rule"
}
|
{
"index": 7904,
"need_tools_kwargs": true,
"question": "Who owns the radio station in Boston which has a transmitter on top of a building designed by Charles Luckman and Associates for Prudential Insurance?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Bandar Bin Saud Bin Abdulaziz Al Saud's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23 February 1969",
"style": "rule"
}
|
{
"index": 7905,
"need_tools_kwargs": true,
"question": "What is the date of death of Bandar Bin Saud Bin Abdulaziz Al Saud'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": "Determine the area of the region enclosed by the equation $x^2 + y^2 + 6x - 4y - 5 = 0$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "14\\pi",
"style": "rule"
}
|
{
"index": 7906,
"need_tools_kwargs": true,
"question": "Determine the area of the region enclosed by the equation $x^2 + y^2 + 6x - 4y - 5 = 0$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of films Savages (1972 Film) and Jumpin' At The Boneyard both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 7907,
"need_tools_kwargs": true,
"question": "Are the directors of films Savages (1972 Film) and Jumpin' At The Boneyard both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Draw two tangents to the circle $x^2+(y-2)^2=4$ passing through the point $(-2,6)$, and let the points of tangency be $A$ and $B$. Then, the equation of line $AB$ is __________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x-2y+6=0",
"style": "rule"
}
|
{
"index": 7908,
"need_tools_kwargs": true,
"question": "Draw two tangents to the circle $x^2+(y-2)^2=4$ passing through the point $(-2,6)$, and let the points of tangency be $A$ and $B$. Then, the equation of line $AB$ 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": "Who is the star character of the film which \"Spring Day\" was loosely adapted from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Aya Kuramoto",
"style": "rule"
}
|
{
"index": 7909,
"need_tools_kwargs": true,
"question": "Who is the star character of the film which \"Spring Day\" was loosely adapted from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "从一个正 9 边形的 9 个顶点中选 3 个使得它们是一个等腰三角形的三个顶点的方法数是多少？",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 7910,
"need_tools_kwargs": true,
"question": "从一个正 9 边形的 9 个顶点中选 3 个使得它们是一个等腰三角形的三个顶点的方法数是多少？",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Smurfs: The Lost Village stars which actor who played Flash Thompson in Spider-Man?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Joseph Michael Manganiello",
"style": "rule"
}
|
{
"index": 7911,
"need_tools_kwargs": true,
"question": "Smurfs: The Lost Village stars which actor who played Flash Thompson in Spider-Man?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On a $4 \\times 4$ board, the numbers from $1$ to $16$ are written, one in each box. Andres and Pablo choose four numbers each. Andres chooses the biggest number from each row, and Pablo chooses the biggest number from each column. The same number can be chosen by both. Then, all chosen numbers are removed from the board. What is the greatest possible sum of the numbers left on the board?",
"role": "user"
}
] |
math
|
{
"ground_truth": "78",
"style": "rule"
}
|
{
"index": 7912,
"need_tools_kwargs": true,
"question": "On a $4 \\times 4$ board, the numbers from $1$ to $16$ are written, one in each box. Andres and Pablo choose four numbers each. Andres chooses the biggest number from each row, and Pablo chooses the biggest number from each column. The same number can be chosen by both. Then, all chosen numbers are removed from the board. What is the greatest possible sum of the numbers left 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": "A hyperbola is centered at the origin and opens vertically. It passes through the points $(4, 3)$, $(0, 2)$, and $(2, k)$. Find $k^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{17}{4}",
"style": "rule"
}
|
{
"index": 7913,
"need_tools_kwargs": true,
"question": "A hyperbola is centered at the origin and opens vertically. It passes through the points $(4, 3)$, $(0, 2)$, and $(2, k)$. Find $k^2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Lyla and Isabelle run on a circular track both starting at point \\( P \\). Lyla runs at a constant speed in the clockwise direction. Isabelle also runs in the clockwise direction at a constant speed 25% faster than Lyla. Lyla starts running first and Isabelle starts running when Lyla has completed one third of one lap. When Isabelle passes Lyla for the fifth time, how many times has Lyla returned to point \\( P \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "17",
"style": "rule"
}
|
{
"index": 7914,
"need_tools_kwargs": true,
"question": "Lyla and Isabelle run on a circular track both starting at point \\( P \\). Lyla runs at a constant speed in the clockwise direction. Isabelle also runs in the clockwise direction at a constant speed 25% faster than Lyla. Lyla starts running first and Isabelle starts running when Lyla has completed one third of one lap. When Isabelle passes Lyla for the fifth time, how many times has Lyla returned to point \\( P \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知正整数 $n$ 满足 $n \\neq 2017$ ，且 $n^{n}$ 与 $2017^{2017}$ 有相同的个位数字，则 $|2017-n|$ 的最小值为多少？",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 7915,
"need_tools_kwargs": true,
"question": "已知正整数 $n$ 满足 $n \\neq 2017$ ，且 $n^{n}$ 与 $2017^{2017}$ 有相同的个位数字，则 $|2017-n|$ 的最小值为多少？",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Nej til knive features voices of many actors and actresses, including that of what actress formerly known as Sussi la Cour?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Katja K",
"style": "rule"
}
|
{
"index": 7916,
"need_tools_kwargs": true,
"question": "Nej til knive features voices of many actors and actresses, including that of what actress formerly known as Sussi la Cour?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Did Vince Boryla and Hervé De Luze have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7917,
"need_tools_kwargs": true,
"question": "Did Vince Boryla and Hervé De Luze 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": "Let $a$ and $b$ be two-digit positive integers. Find the greatest possible value of $a+b$, given that the greatest common factor of $a$ and $b$ is $6$.\n\n[i]Proposed by Jacob Xu[/i]",
"role": "user"
}
] |
math
|
{
"ground_truth": "186",
"style": "rule"
}
|
{
"index": 7918,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be two-digit positive integers. Find the greatest possible value of $a+b$, given that the greatest common factor of $a$ and $b$ is $6$.\n\n[i]Proposed by Jacob Xu[/i]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Ken Wiwa's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 November 1995",
"style": "rule"
}
|
{
"index": 7919,
"need_tools_kwargs": true,
"question": "When did Ken Wiwa'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": "Were both John Bassett and Lupo Quiñónez, born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7920,
"need_tools_kwargs": true,
"question": "Were both John Bassett and Lupo Quiñónez, born in the same place?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 genre of movie do Alita: Battle Angel and Avatar share?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alita: Battle Angel is an upcoming American science fiction film",
"style": "rule"
}
|
{
"index": 7921,
"need_tools_kwargs": true,
"question": "What genre of movie do Alita: Battle Angel and Avatar share?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film Winter Carnival (Film) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 7922,
"need_tools_kwargs": true,
"question": "Which country the director of film Winter Carnival (Film) is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where is the 2014 independent crime drama film, that stars the actor who played the role of James Crockett in Miami Vice, set?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Texas",
"style": "rule"
}
|
{
"index": 7923,
"need_tools_kwargs": true,
"question": "Where is the 2014 independent crime drama film, that stars the actor who played the role of James Crockett in Miami Vice, set?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If a sequence's sum of the first $n$ terms, $S_n = 1 - 5 + 9 - \\ldots + (-1)^{n+1}(4n - 3)$ for $n \\in \\mathbb{N}^*$, find the value of $S_{15} - S_{22} + S_{31}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "134",
"style": "rule"
}
|
{
"index": 7924,
"need_tools_kwargs": true,
"question": "If a sequence's sum of the first $n$ terms, $S_n = 1 - 5 + 9 - \\ldots + (-1)^{n+1}(4n - 3)$ for $n \\in \\mathbb{N}^*$, find the value of $S_{15} - S_{22} + S_{31}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The 2014 MW-V6 Pickup Series season included a dance party hosted by the actor who set a Guinness World Record as the most watched man on TV.",
"role": "user"
}
] |
qa
|
{
"ground_truth": "David Michael Hasselhoff",
"style": "rule"
}
|
{
"index": 7925,
"need_tools_kwargs": true,
"question": "The 2014 MW-V6 Pickup Series season included a dance party hosted by the actor who set a Guinness World Record as the most watched man on TV.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose we flip four coins simultaneously: a penny, a nickel, a dime, and a quarter. What is the probability that at least 15 cents worth of coins come up heads?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{5}{8}",
"style": "rule"
}
|
{
"index": 7926,
"need_tools_kwargs": true,
"question": "Suppose we flip four coins simultaneously: a penny, a nickel, a dime, and a quarter. What is the probability that at least 15 cents worth of coins come up heads?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 place of birth of the composer of film Kumara Sambhavam?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Paravoor",
"style": "rule"
}
|
{
"index": 7927,
"need_tools_kwargs": true,
"question": "What is the place of birth of the composer of film Kumara Sambhavam?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Sherri Mitchell's tribe organized as a First Nations band government?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Atlantic provinces",
"style": "rule"
}
|
{
"index": 7928,
"need_tools_kwargs": true,
"question": "Where is Sherri Mitchell's tribe organized as a First Nations band government?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 for any \\( x \\in [0,1] \\), the inequality\n\\[ f(x) = k \\left( x^2 - x + 1 \\right) - x^4 (1 - x)^4 \\geqslant 0, \\]\nholds, find the minimum value of \\( k \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.00520833333333333",
"style": "rule"
}
|
{
"index": 7929,
"need_tools_kwargs": true,
"question": "Given that for any \\( x \\in [0,1] \\), the inequality\n\\[ f(x) = k \\left( x^2 - x + 1 \\right) - x^4 (1 - x)^4 \\geqslant 0, \\]\nholds, find the minimum value of \\( k \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year did the canal along the northern border of Appleton open?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1761",
"style": "rule"
}
|
{
"index": 7930,
"need_tools_kwargs": true,
"question": "What year did the canal along the northern border of Appleton open?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 pyramid with a base that is an isosceles triangle \\( ABC \\), where the base \\( AC = 2 \\) and the lateral side \\( BC = \\sqrt{7} \\). The face \\( ACD \\) is perpendicular to the base plane and forms an equilateral triangle. Calculate the length of the edge \\( BD \\) of the pyramid. Additionally, determine the areas of all cross-sections of the pyramid that are squares.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7931,
"need_tools_kwargs": true,
"question": "Consider a pyramid with a base that is an isosceles triangle \\( ABC \\), where the base \\( AC = 2 \\) and the lateral side \\( BC = \\sqrt{7} \\). The face \\( ACD \\) is perpendicular to the base plane and forms an equilateral triangle. Calculate the length of the edge \\( BD \\) of the pyramid. Additionally, determine the areas of all cross-sections of the pyramid that are squares.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At a circular table, there are 5 people seated: Arnaldo, Bernaldo, Cernaldo, Dernaldo, and Ernaldo, each in a chair. Given the following conditions:\n\n1. There is 1 empty chair between Arnaldo and Bernaldo.\n2. There are 5 chairs between Bernaldo and Cernaldo.\n3. There are 4 chairs between Dernaldo and Ernaldo, almost all empty.\n4. There are 2 chairs between Dernaldo and Cernaldo.\n5. There are 3 chairs between Ernaldo and Bernaldo, not all of them empty.\n\nUsing these conditions, determine how many chairs are there around the table.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 7932,
"need_tools_kwargs": true,
"question": "At a circular table, there are 5 people seated: Arnaldo, Bernaldo, Cernaldo, Dernaldo, and Ernaldo, each in a chair. Given the following conditions:\n\n1. There is 1 empty chair between Arnaldo and Bernaldo.\n2. There are 5 chairs between Bernaldo and Cernaldo.\n3. There are 4 chairs between Dernaldo and Ernaldo, almost all empty.\n4. There are 2 chairs between Dernaldo and Cernaldo.\n5. There are 3 chairs between Ernaldo and Bernaldo, not all of them empty.\n\nUsing these conditions, determine how many chairs are there around the table.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Starting at $(0,0),$ an object moves in the coordinate plane via a sequence of steps, each of length one. Each step is left, right, up, or down, all four equally likely. Let $p$ be the probability that the object reaches $(2,2)$ in six or fewer steps. Given that $p$ can be written in the form $m/n,$ where $m$ and $n$ are relatively prime positive integers, find $m+n.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "67",
"style": "rule"
}
|
{
"index": 7933,
"need_tools_kwargs": true,
"question": "Starting at $(0,0),$ an object moves in the coordinate plane via a sequence of steps, each of length one. Each step is left, right, up, or down, all four equally likely. Let $p$ be the probability that the object reaches $(2,2)$ in six or fewer steps. Given that $p$ can be written in the form $m/n,$ where $m$ and $n$ are relatively prime positive integers, find $m+n.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the inequality\n\n$$\n8 \\cdot \\frac{|x+1|-|x-7|}{|2x-3|-|2x-9|} + 3 \\cdot \\frac{|x+1|+|x-7|}{|2x-3|+|2x-9|} \\leq 8\n$$\n\nRecord the sum of its integer solutions that satisfy the condition $|x| < 120$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 7934,
"need_tools_kwargs": true,
"question": "Solve the inequality\n\n$$\n8 \\cdot \\frac{|x+1|-|x-7|}{|2x-3|-|2x-9|} + 3 \\cdot \\frac{|x+1|+|x-7|}{|2x-3|+|2x-9|} \\leq 8\n$$\n\nRecord the sum of its integer solutions that satisfy the condition $|x| < 120$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=\\sqrt{3}\\cos^2{\\omega}x+\\sin{\\omega}x\\cos{\\omega}x (\\omega>0)$, if there exists a real number $x_{0}$ such that for any real number $x$, $f(x_{0})\\leq f(x)\\leq f(x_{0}+2022\\pi)$ holds, then the minimum value of $\\omega$ is ____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{4044}",
"style": "rule"
}
|
{
"index": 7935,
"need_tools_kwargs": true,
"question": "Given $f(x)=\\sqrt{3}\\cos^2{\\omega}x+\\sin{\\omega}x\\cos{\\omega}x (\\omega>0)$, if there exists a real number $x_{0}$ such that for any real number $x$, $f(x_{0})\\leq f(x)\\leq f(x_{0}+2022\\pi)$ holds, then the minimum value of $\\omega$ is ____.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What vessel was first flown around the world by the man who owned the catamaran \"Cheyenne\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "balloon",
"style": "rule"
}
|
{
"index": 7936,
"need_tools_kwargs": true,
"question": "What vessel was first flown around the world by the man who owned the catamaran \"Cheyenne\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 laboratory where Joseph Hendrie served as chairman of the Department of Applied Science?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Upton, New York",
"style": "rule"
}
|
{
"index": 7937,
"need_tools_kwargs": true,
"question": "Where is the laboratory where Joseph Hendrie served as chairman of the Department of Applied Science?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Prince Gustaf (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 February 1966",
"style": "rule"
}
|
{
"index": 7938,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Prince Gustaf (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": "Luca has an older sister and a younger brother. The product of their three ages is 72. What is the sum of their three ages?\n$\\mathrm{(A)}\\ 10\\qquad \\mathrm{(B)}\\ 12\\qquad \\mathrm{(C)}\\ 13\\qquad \\mathrm{(D)}\\ 18\\qquad \\mathrm{(E)}\\ 24$",
"role": "user"
}
] |
math
|
{
"ground_truth": "C. 13",
"style": "rule"
}
|
{
"index": 7939,
"need_tools_kwargs": true,
"question": "Luca has an older sister and a younger brother. The product of their three ages is 72. What is the sum of their three ages?\n$\\mathrm{(A)}\\ 10\\qquad \\mathrm{(B)}\\ 12\\qquad \\mathrm{(C)}\\ 13\\qquad \\mathrm{(D)}\\ 18\\qquad \\mathrm{(E)}\\ 24$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Yelbulak-Matveyevka and Abu Arazeh both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7940,
"need_tools_kwargs": true,
"question": "Are Yelbulak-Matveyevka and Abu Arazeh both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A 2001 Indian epic sports-drama film starred an actor who was also know for his role in what 1999 movie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sarfarosh",
"style": "rule"
}
|
{
"index": 7941,
"need_tools_kwargs": true,
"question": "A 2001 Indian epic sports-drama film starred an actor who was also know for his role in what 1999 movie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 P. V. Sanjay Kumar's position just before being appointed as a judge of the Supreme Court of India?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "chief justice of the Manipur High Court",
"style": "rule"
}
|
{
"index": 7942,
"need_tools_kwargs": true,
"question": "What was P. V. Sanjay Kumar's position just before being appointed as a judge of the Supreme Court of India?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did Randal Plunkett, 19Th Baron Of Dunsany's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "25 October 1957",
"style": "rule"
}
|
{
"index": 7943,
"need_tools_kwargs": true,
"question": "When did Randal Plunkett, 19Th Baron Of Dunsany'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": "What debut album created by a musical artist who has performed with Aref Durvesh was nominated for a Mercury Prize?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Salt Rain\"",
"style": "rule"
}
|
{
"index": 7944,
"need_tools_kwargs": true,
"question": "What debut album created by a musical artist who has performed with Aref Durvesh was nominated for a Mercury Prize?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given eight cubes with volumes \\(1, 8, 27, 64, 125, 216, 343,\\) and \\(512\\) cubic units, and each cube having its volume decreasing upwards, determine the overall external surface area of this arrangement.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1021",
"style": "rule"
}
|
{
"index": 7945,
"need_tools_kwargs": true,
"question": "Given eight cubes with volumes \\(1, 8, 27, 64, 125, 216, 343,\\) and \\(512\\) cubic units, and each cube having its volume decreasing upwards, determine the overall external surface area of this arrangement.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Fully factor the following expression: $2x^2-8$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(2) (x+2) (x-2)",
"style": "rule"
}
|
{
"index": 7946,
"need_tools_kwargs": true,
"question": "Fully factor the following expression: $2x^2-8$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the system of equations \n\n\\[\n\\left\\{ \n\\begin{array}{l} \na_{1} x + y = c_{1} \\\\ \na_{2} x + y = c_{2} \n\\end{array} \n\\right.\n\\]\n\nwhich has the solution \n\n\\[\n\\left\\{ \n\\begin{array}{l} \nx = 5 \\\\ \ny = 10 \n\\end{array} \n\\right.,\n\\]\n\nfind the solution to the new system of equations \n\n\\[\n\\left\\{ \n\\begin{array}{l} \na_{1} x + 2 y = a_{1} - c_{1} \\\\ \na_{2} x + 2 y = a_{2} - c_{2} \n\\end{array} \n\\right.\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "-5\\right\\}",
"style": "rule"
}
|
{
"index": 7947,
"need_tools_kwargs": true,
"question": "Given the system of equations \n\n\\[\n\\left\\{ \n\\begin{array}{l} \na_{1} x + y = c_{1} \\\\ \na_{2} x + y = c_{2} \n\\end{array} \n\\right.\n\\]\n\nwhich has the solution \n\n\\[\n\\left\\{ \n\\begin{array}{l} \nx = 5 \\\\ \ny = 10 \n\\end{array} \n\\right.,\n\\]\n\nfind the solution to the new system of equations \n\n\\[\n\\left\\{ \n\\begin{array}{l} \na_{1} x + 2 y = a_{1} - c_{1} \\\\ \na_{2} x + 2 y = a_{2} - c_{2} \n\\end{array} \n\\right.\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": "Given $\\frac{\\log{a}}{p}=\\frac{\\log{b}}{q}=\\frac{\\log{c}}{r}=\\log{x}$, all logarithms to the same base and $x \\not= 1$. If $\\frac{b^2}{ac}=x^y$, then $y$ is:\n$\\text{(A)}\\ \\frac{q^2}{p+r}\\qquad\\text{(B)}\\ \\frac{p+r}{2q}\\qquad\\text{(C)}\\ 2q-p-r\\qquad\\text{(D)}\\ 2q-pr\\qquad\\text{(E)}\\ q^2-pr$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2q - (p + r)",
"style": "rule"
}
|
{
"index": 7948,
"need_tools_kwargs": true,
"question": "Given $\\frac{\\log{a}}{p}=\\frac{\\log{b}}{q}=\\frac{\\log{c}}{r}=\\log{x}$, all logarithms to the same base and $x \\not= 1$. If $\\frac{b^2}{ac}=x^y$, then $y$ is:\n$\\text{(A)}\\ \\frac{q^2}{p+r}\\qquad\\text{(B)}\\ \\frac{p+r}{2q}\\qquad\\text{(C)}\\ 2q-p-r\\qquad\\text{(D)}\\ 2q-pr\\qquad\\text{(E)}\\ q^2-pr$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Secrets Secrets?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "16 June 2012",
"style": "rule"
}
|
{
"index": 7949,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Secrets Secrets?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 five gifts priced at 2 yuan, 5 yuan, 8 yuan, 11 yuan, and 14 yuan, and five boxes priced at 1 yuan, 3 yuan, 5 yuan, 7 yuan, and 9 yuan. Each gift is paired with one box. How many different total prices are possible?",
"role": "user"
}
] |
math
|
{
"ground_truth": "19",
"style": "rule"
}
|
{
"index": 7950,
"need_tools_kwargs": true,
"question": "There are five gifts priced at 2 yuan, 5 yuan, 8 yuan, 11 yuan, and 14 yuan, and five boxes priced at 1 yuan, 3 yuan, 5 yuan, 7 yuan, and 9 yuan. Each gift is paired with one box. How many different total prices are possible?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Peter wants to create a unique die where each face displays a different positive integer. For any two adjacent faces, the numbers must differ by at least two. Determine the minimum possible sum of the six numbers on the die.",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 7951,
"need_tools_kwargs": true,
"question": "Peter wants to create a unique die where each face displays a different positive integer. For any two adjacent faces, the numbers must differ by at least two. Determine the minimum possible sum of the six numbers on the 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": "Given points $A(0,-4)$ and $B(3,2)$, find the shortest distance from a point on the parabola $y^{2}=8x$ to the line $AB$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 7952,
"need_tools_kwargs": true,
"question": "Given points $A(0,-4)$ and $B(3,2)$, find the shortest distance from a point on the parabola $y^{2}=8x$ to the line $AB$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the name of the play in which American music producer George Avakian was an associate producer in 1965?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Cradle Will Rock",
"style": "rule"
}
|
{
"index": 7953,
"need_tools_kwargs": true,
"question": "What was the name of the play in which American music producer George Avakian was an associate producer in 1965?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the following three arithmetic sequences:\n\n\\[2, 11, 20, 29, \\ldots\\]\n\n\\[7, 15, 23, 31, \\ldots\\]\n\n\\[8, 19, 30, 41, \\ldots\\]\n\nDetermine the smallest (positive) common term of these three sequences!",
"role": "user"
}
] |
math
|
{
"ground_truth": "767",
"style": "rule"
}
|
{
"index": 7954,
"need_tools_kwargs": true,
"question": "Consider the following three arithmetic sequences:\n\n\\[2, 11, 20, 29, \\ldots\\]\n\n\\[7, 15, 23, 31, \\ldots\\]\n\n\\[8, 19, 30, 41, \\ldots\\]\n\nDetermine the smallest (positive) common term of these three sequences!",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the smallest positive four-digit number divisible by 9 which has two even digits, two odd digits, and one of the digits is 5?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1058",
"style": "rule"
}
|
{
"index": 7955,
"need_tools_kwargs": true,
"question": "What is the smallest positive four-digit number divisible by 9 which has two even digits, two odd digits, and one of the digits is 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": "Let \\(\\mathbb N\\) denote the set of all positive integers. Find all real numbers \\(c\\) for which there exists a function \\(f:\\mathbb N\\to \\mathbb N\\) satisfying:\n[list]\n [*] for any \\(x,a\\in\\mathbb N\\), the quantity \\(\\frac{f(x+a)-f(x)}{a}\\) is an integer if and only if \\(a=1\\);\n [*] for all \\(x\\in \\mathbb N\\), we have \\(|f(x)-cx|<2023\\).\n[/list]\nThe original answer is in \\(\\frac{k}{m}\\) format, please give the value of \\(k + m\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7956,
"need_tools_kwargs": true,
"question": "Let \\(\\mathbb N\\) denote the set of all positive integers. Find all real numbers \\(c\\) for which there exists a function \\(f:\\mathbb N\\to \\mathbb N\\) satisfying:\n[list]\n [*] for any \\(x,a\\in\\mathbb N\\), the quantity \\(\\frac{f(x+a)-f(x)}{a}\\) is an integer if and only if \\(a=1\\);\n [*] for all \\(x\\in \\mathbb N\\), we have \\(|f(x)-cx|<2023\\).\n[/list]\nThe original answer is in \\(\\frac{k}{m}\\) format, please give the value of \\(k + m\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "From a bottle containing 1 liter of alcohol, $\\frac{1}{3}$ liter of alcohol is poured out, an equal amount of water is added and mixed thoroughly. Then, $\\frac{1}{3}$ liter of the mixture is poured out, an equal amount of water is added and mixed thoroughly. Finally, 1 liter of the mixture is poured out and an equal amount of water is added. How much alcohol is left in the bottle?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{8}{27}",
"style": "rule"
}
|
{
"index": 7957,
"need_tools_kwargs": true,
"question": "From a bottle containing 1 liter of alcohol, $\\frac{1}{3}$ liter of alcohol is poured out, an equal amount of water is added and mixed thoroughly. Then, $\\frac{1}{3}$ liter of the mixture is poured out, an equal amount of water is added and mixed thoroughly. Finally, 1 liter of the mixture is poured out and an equal amount of water is added. How much alcohol is left in the bottle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 of the integers between 30 and 50, inclusive, are not possible total scores if a multiple choice test has 10 questions, each correct answer is worth 5 points, each unanswered question is worth 1 point, and each incorrect answer is worth 0 points?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 7958,
"need_tools_kwargs": true,
"question": "How many of the integers between 30 and 50, inclusive, are not possible total scores if a multiple choice test has 10 questions, each correct answer is worth 5 points, each unanswered question is worth 1 point, and each incorrect answer is worth 0 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": "In how many ways can seven beads of distinct colors be put on the hexagonal grid shown, if reflections and rotations of an arrangement are considered equivalent?\n\n[asy]\nsize(50);\ndot((0,0));\ndot((1,0));\ndot((-1,0));\ndot((.5,sqrt(3)/2));\ndot((.5,-sqrt(3)/2));\ndot((-.5,sqrt(3)/2));\ndot((-.5,-sqrt(3)/2));\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "420",
"style": "rule"
}
|
{
"index": 7959,
"need_tools_kwargs": true,
"question": "In how many ways can seven beads of distinct colors be put on the hexagonal grid shown, if reflections and rotations of an arrangement are considered equivalent?\n\n[asy]\nsize(50);\ndot((0,0));\ndot((1,0));\ndot((-1,0));\ndot((.5,sqrt(3)/2));\ndot((.5,-sqrt(3)/2));\ndot((-.5,sqrt(3)/2));\ndot((-.5,-sqrt(3)/2));\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": "Find the length of the segment of the line that is parallel to the bases of a trapezoid and passes through the intersection point of the diagonals, if the bases of the trapezoid are equal to \\( a \\) and \\( b \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2ab}{a + b}",
"style": "rule"
}
|
{
"index": 7960,
"need_tools_kwargs": true,
"question": "Find the length of the segment of the line that is parallel to the bases of a trapezoid and passes through the intersection point of the diagonals, if the bases of the trapezoid are equal to \\( a \\) and \\( b \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rectangle with positive integer side lengths in $\\text{cm}$ has area $A$ $\\text{cm}^2$ and perimeter $P$ $\\text{cm}$. Which of the following numbers cannot equal $A+P$?\n$\\textbf{(A) }100\\qquad\\textbf{(B) }102\\qquad\\textbf{(C) }104\\qquad\\textbf{(D) }106\\qquad\\textbf{(E) }108$",
"role": "user"
}
] |
math
|
{
"ground_truth": "102",
"style": "rule"
}
|
{
"index": 7961,
"need_tools_kwargs": true,
"question": "A rectangle with positive integer side lengths in $\\text{cm}$ has area $A$ $\\text{cm}^2$ and perimeter $P$ $\\text{cm}$. Which of the following numbers cannot equal $A+P$?\n$\\textbf{(A) }100\\qquad\\textbf{(B) }102\\qquad\\textbf{(C) }104\\qquad\\textbf{(D) }106\\qquad\\textbf{(E) }108$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ant Borya moves on the coordinate plane, starting from the point \\( P_{0} = (0, 0) \\), moving to the point \\( P_{1} = (1, 0) \\), and then spiraling counterclockwise. Points with integer coordinates, which he reaches, form a sequence \\( P_{n} \\). Find the coordinates of the point \\( P_{1557} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "(20, 17)",
"style": "rule"
}
|
{
"index": 7962,
"need_tools_kwargs": true,
"question": "Ant Borya moves on the coordinate plane, starting from the point \\( P_{0} = (0, 0) \\), moving to the point \\( P_{1} = (1, 0) \\), and then spiraling counterclockwise. Points with integer coordinates, which he reaches, form a sequence \\( P_{n} \\). Find the coordinates of the point \\( P_{1557} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American Idol when the contestant who won an Oscar for Dreamgirls was on?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fantasia Barrino",
"style": "rule"
}
|
{
"index": 7963,
"need_tools_kwargs": true,
"question": "Who won American Idol when the contestant who won an Oscar for Dreamgirls was on?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "给定整数$n\\geq2$。在$n\\times n$方格表的每个小方格中各填入一个不超过$n$的正整数，使得每一行填入的数从左至右不减，每一列填入的数从上至下不减。若两个有公共边的小方格填入的数相同，则称这两个（无序的）小方格为一个“好对”。求好对个数的最小可能值。对于$n=2m$，答案形如$k \\cdot m^2$；对于$n=2m+1$，答案形如$p \\cdot m \\cdot (m+q)$。请给出$k+p+q$的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 7964,
"need_tools_kwargs": true,
"question": "给定整数$n\\geq2$。在$n\\times n$方格表的每个小方格中各填入一个不超过$n$的正整数，使得每一行填入的数从左至右不减，每一列填入的数从上至下不减。若两个有公共边的小方格填入的数相同，则称这两个（无序的）小方格为一个“好对”。求好对个数的最小可能值。对于$n=2m$，答案形如$k \\cdot m^2$；对于$n=2m+1$，答案形如$p \\cdot m \\cdot (m+q)$。请给出$k+p+q$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": "满足方程 $\\frac{1}{k_{1}}+\\frac{1}{k_{2}}+\\cdots+\\frac{1}{k_{n}}=1, k_{1} k_{2} \\cdots k_{n} \\leq 200$ 的所有有序正整数组 $\\left(n, k_{1}, \\cdots, k_{n}\\right)$的组数为 $\\qquad$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 7965,
"need_tools_kwargs": true,
"question": "满足方程 $\\frac{1}{k_{1}}+\\frac{1}{k_{2}}+\\cdots+\\frac{1}{k_{n}}=1, k_{1} k_{2} \\cdots k_{n} \\leq 200$ 的所有有序正整数组 $\\left(n, k_{1}, \\cdots, k_{n}\\right)$的组数为 $\\qquad$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the movies Dr. Jekyll and Mr. Hyde (1931 film) and The Old New Year, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7966,
"need_tools_kwargs": true,
"question": "Are the movies Dr. Jekyll and Mr. Hyde (1931 film) and The Old New Year, from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider an $m$-by-$n$ grid of unit squares, indexed by $(i,j)$ with $1\\leq i\\leq m$ and $1\\leq j\\leq n.$ There are $(m-1)(n-1)$ coins, which are initially placed in the squares $(i,j)$ with $1\\leq i\\leq m-1$ and $1\\leq j\\leq n-1.$ If a coin occupies the square $(i,j)$ with $i\\leq m-1$ and $j\\leq n-1$ and the squares $(i+1,j),(i,j+1)$, and $(i+1,j+1)$ are unoccupied, then a legal move is to slide the coin from $(i,j)$ to $(i+1,j+1).$ How many distinct configurations of coins can be reached starting from the initial configuration by a (possibly empty) sequence of legal moves? The original answer is in the format \\binom{a}{b}, please provide the value of a+b when $m=1$ and $n=1$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 7967,
"need_tools_kwargs": true,
"question": "Consider an $m$-by-$n$ grid of unit squares, indexed by $(i,j)$ with $1\\leq i\\leq m$ and $1\\leq j\\leq n.$ There are $(m-1)(n-1)$ coins, which are initially placed in the squares $(i,j)$ with $1\\leq i\\leq m-1$ and $1\\leq j\\leq n-1.$ If a coin occupies the square $(i,j)$ with $i\\leq m-1$ and $j\\leq n-1$ and the squares $(i+1,j),(i,j+1)$, and $(i+1,j+1)$ are unoccupied, then a legal move is to slide the coin from $(i,j)$ to $(i+1,j+1).$ How many distinct configurations of coins can be reached starting from the initial configuration by a (possibly empty) sequence of legal moves? The original answer is in the format \\binom{a}{b}, please provide the value of a+b when $m=1$ and $n=1$.",
"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": "Consider the sequence \\(20170 \\ldots\\), where starting from the 5th digit, each digit is determined by taking the units digit of the sum of the preceding 4 digits. Calculate the sequence from the 5th digit onward and determine which of the following sets of digits will definitely not appear in the sequence: 8615, 2016, 4023, or 2017. Provide a detailed explanation of your reasoning.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2016",
"style": "rule"
}
|
{
"index": 7968,
"need_tools_kwargs": true,
"question": "Consider the sequence \\(20170 \\ldots\\), where starting from the 5th digit, each digit is determined by taking the units digit of the sum of the preceding 4 digits. Calculate the sequence from the 5th digit onward and determine which of the following sets of digits will definitely not appear in the sequence: 8615, 2016, 4023, or 2017. Provide a detailed explanation of your reasoning.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\(x \\in \\left[-\\frac{5\\pi}{12}, -\\frac{\\pi}{3}\\right]\\), find the maximum value of \\(y = \\tan\\left(x + \\frac{2\\pi}{3}\\right) - \\tan\\left(x + \\frac{\\pi}{6}\\right) + \\cos\\left(x + \\frac{\\pi}{6}\\right)\\). The original answer is in the form \\(\\frac{k}{m}\\sqrt{n}\\). Please provide the value of \\(k + m + n\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 7969,
"need_tools_kwargs": true,
"question": "If \\(x \\in \\left[-\\frac{5\\pi}{12}, -\\frac{\\pi}{3}\\right]\\), find the maximum value of \\(y = \\tan\\left(x + \\frac{2\\pi}{3}\\right) - \\tan\\left(x + \\frac{\\pi}{6}\\right) + \\cos\\left(x + \\frac{\\pi}{6}\\right)\\). The original answer is in the form \\(\\frac{k}{m}\\sqrt{n}\\). Please provide the value of \\(k + 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": "If $0 \\le p \\le 1$ and $0 \\le q \\le 1$, define $F(p, q)$ by\n\\[\n F(p, q) = -2pq + 3p(1-q) + 3(1-p)q - 4(1-p)(1-q).\n\\]Define $G(p)$ to be the maximum of $F(p, q)$ over all $q$ (in the interval $0 \\le q \\le 1$). What is the value of $p$ (in the interval $0 \\le p \\le 1$) that minimizes $G(p)$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.584",
"style": "rule"
}
|
{
"index": 7970,
"need_tools_kwargs": true,
"question": "If $0 \\le p \\le 1$ and $0 \\le q \\le 1$, define $F(p, q)$ by\n\\[\n F(p, q) = -2pq + 3p(1-q) + 3(1-p)q - 4(1-p)(1-q).\n\\]Define $G(p)$ to be the maximum of $F(p, q)$ over all $q$ (in the interval $0 \\le q \\le 1$). What is the value of $p$ (in the interval $0 \\le p \\le 1$) that minimizes $G(p)$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many distinguishable ways are there to write $9$ as the sum of $1\\text{'s},$ $2\\text{'s},$ and $4\\text{'s},$ where the order of the addends matters? For example, $4 + 4 + 1$ and $1 + 4 + 4$ are two different ways.",
"role": "user"
}
] |
math
|
{
"ground_truth": "96",
"style": "rule"
}
|
{
"index": 7971,
"need_tools_kwargs": true,
"question": "How many distinguishable ways are there to write $9$ as the sum of $1\\text{'s},$ $2\\text{'s},$ and $4\\text{'s},$ where the order of the addends matters? For example, $4 + 4 + 1$ and $1 + 4 + 4$ are two different ways.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\(x\\) is real and positive and grows beyond all bounds, then \\(\\log_5{(10x - 7)} - \\log_5{(4x + 3)}\\) approaches:\nA. \\( 0 \\)\nB. \\( 1 \\)\nC. \\( 1 - \\log_5 2 \\)\nD. \\( \\frac{5}{2} \\)\nE. \\( \\log_5 2.5 \\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "The final answer is \\(\\boxed{C}\\)",
"style": "rule"
}
|
{
"index": 7972,
"need_tools_kwargs": true,
"question": "If \\(x\\) is real and positive and grows beyond all bounds, then \\(\\log_5{(10x - 7)} - \\log_5{(4x + 3)}\\) approaches:\nA. \\( 0 \\)\nB. \\( 1 \\)\nC. \\( 1 - \\log_5 2 \\)\nD. \\( \\frac{5}{2} \\)\nE. \\( \\log_5 2.5 \\)",
"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": "Dream Street is narrated by an English musician, comedian, and actor who first came to public notice with what British comedy showband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Black Abbots",
"style": "rule"
}
|
{
"index": 7973,
"need_tools_kwargs": true,
"question": "Dream Street is narrated by an English musician, comedian, and actor who first came to public notice with what British comedy showband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the ruler of an ancient city located Northwest of the junction of the Euphrates and Tigris and had several statues found in southern Mesopotamia?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gudea ruled",
"style": "rule"
}
|
{
"index": 7974,
"need_tools_kwargs": true,
"question": "Who was the ruler of an ancient city located Northwest of the junction of the Euphrates and Tigris and had several statues found in southern Mesopotamia?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 season 7 of the walking dead start",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 23, 2016",
"style": "rule"
}
|
{
"index": 7975,
"need_tools_kwargs": true,
"question": "when did season 7 of the walking dead start",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the number of terms in the simplified expression of \\[(x+y+z+w)^{2008} + (x-y-z-w)^{2008}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "508020",
"style": "rule"
}
|
{
"index": 7976,
"need_tools_kwargs": true,
"question": "Calculate the number of terms in the simplified expression of \\[(x+y+z+w)^{2008} + (x-y-z-w)^{2008}.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of George Montagu, 6Th Earl Of Sandwich's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "26 January 1744",
"style": "rule"
}
|
{
"index": 7977,
"need_tools_kwargs": true,
"question": "What is the date of birth of George Montagu, 6Th Earl Of Sandwich'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": "Are both villages, Susanabad, Komijan and Hattuvaara, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7978,
"need_tools_kwargs": true,
"question": "Are both villages, Susanabad, Komijan and Hattuvaara, located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the value of the polynomial f(x) = 7x^7 + 6x^6 + 5x^5 + 4x^4 + 3x^3 + 2x^2 + x using the Qin Jiushao algorithm when x = 3. Find the value of V₄.",
"role": "user"
}
] |
math
|
{
"ground_truth": "789",
"style": "rule"
}
|
{
"index": 7979,
"need_tools_kwargs": true,
"question": "Calculate the value of the polynomial f(x) = 7x^7 + 6x^6 + 5x^5 + 4x^4 + 3x^3 + 2x^2 + x using the Qin Jiushao algorithm when x = 3. Find the value of V₄.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Dakshayagnam (1962 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Madras",
"style": "rule"
}
|
{
"index": 7980,
"need_tools_kwargs": true,
"question": "Where did the director of film Dakshayagnam (1962 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many terms are there in the expansion of $(x+a)^{n}$? Can some of these terms disappear?",
"role": "user"
}
] |
math
|
{
"ground_truth": "n + 1",
"style": "rule"
}
|
{
"index": 7981,
"need_tools_kwargs": true,
"question": "How many terms are there in the expansion of $(x+a)^{n}$? Can some of these terms disappear?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Hoodman Blind?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 31, 1973",
"style": "rule"
}
|
{
"index": 7982,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Hoodman Blind?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 former member of what band who also played with Stephen Tin Tin Duffy in the early 1980s, worked on albums like the second studio album by American rapper Ice Cube?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dexys Midnight Runners",
"style": "rule"
}
|
{
"index": 7983,
"need_tools_kwargs": true,
"question": "The former member of what band who also played with Stephen Tin Tin Duffy in the early 1980s, worked on albums like the second studio album by American rapper Ice 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": "In which month was Laura Lopes's father born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December",
"style": "rule"
}
|
{
"index": 7984,
"need_tools_kwargs": true,
"question": "In which month was Laura Lopes's father 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": "In Good Omens Season 2's episode titled \"The Clue,\" what did Crowley turn Job's goats into instead of killing them?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Crows",
"style": "rule"
}
|
{
"index": 7985,
"need_tools_kwargs": true,
"question": "In Good Omens Season 2's episode titled \"The Clue,\" what did Crowley turn Job's goats into instead of killing 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": "Find all polynomials \\( P(x) \\) that satisfy the conditions \\( P(0) = 0 \\) and the identity\n\n\\[ P(x) = \\frac{1}{2}(P(x+1) + P(x-1)), \\quad x \\in \\mathbf{R} \\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "P(x) = 0",
"style": "rule"
}
|
{
"index": 7986,
"need_tools_kwargs": true,
"question": "Find all polynomials \\( P(x) \\) that satisfy the conditions \\( P(0) = 0 \\) and the identity\n\n\\[ P(x) = \\frac{1}{2}(P(x+1) + P(x-1)), \\quad x \\in \\mathbf{R} \\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film 55 Steps?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Danish",
"style": "rule"
}
|
{
"index": 7987,
"need_tools_kwargs": true,
"question": "What nationality is the director of film 55 Steps?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who directed a film overseen by the president of a a Japanese video game developer and publisher based in Fukuoka known for Professor Layton?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Shinji Ushiro",
"style": "rule"
}
|
{
"index": 7988,
"need_tools_kwargs": true,
"question": "Who directed a film overseen by the president of a a Japanese video game developer and publisher based in Fukuoka known for Professor Layton?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who was born earlier, Sohni Mahiwal (1958 Film) or Fair Enough?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fair Enough",
"style": "rule"
}
|
{
"index": 7989,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, Sohni Mahiwal (1958 Film) or Fair Enough?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Cat and Claire are having a conversation about Cat's favorite number.\n\nCat says, \"My favorite number is a two-digit positive integer that is the product of three distinct prime numbers!\"\n\nClaire says, \"I don't know your favorite number yet, but I do know that among four of the numbers that might be your favorite number, you could start with any one of them, add a second, subtract a third, and get the fourth!\"\n\nCat says, \"That's cool! My favorite number is not among those four numbers, though.\"\n\nClaire says, \"Now I know your favorite number!\"\n\nWhat is Cat's favorite number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "70",
"style": "rule"
}
|
{
"index": 7990,
"need_tools_kwargs": true,
"question": "Cat and Claire are having a conversation about Cat's favorite number.\n\nCat says, \"My favorite number is a two-digit positive integer that is the product of three distinct prime numbers!\"\n\nClaire says, \"I don't know your favorite number yet, but I do know that among four of the numbers that might be your favorite number, you could start with any one of them, add a second, subtract a third, and get the fourth!\"\n\nCat says, \"That's cool! My favorite number is not among those four numbers, though.\"\n\nClaire says, \"Now I know your favorite number!\"\n\nWhat is Cat's favorite 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": "A roll of quarters contains $40$ quarters and a roll of dimes contains $50$ dimes. James has a jar that contains $83$ quarters and $159$ dimes. Lindsay has a jar that contains $129$ quarters and $266$ dimes. James and Lindsay pool these quarters and dimes and make complete rolls with as many of the coins as possible. In dollars, how much are the leftover quarters and dimes worth?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$5.50",
"style": "rule"
}
|
{
"index": 7991,
"need_tools_kwargs": true,
"question": "A roll of quarters contains $40$ quarters and a roll of dimes contains $50$ dimes. James has a jar that contains $83$ quarters and $159$ dimes. Lindsay has a jar that contains $129$ quarters and $266$ dimes. James and Lindsay pool these quarters and dimes and make complete rolls with as many of the coins as possible. In dollars, how much are the leftover quarters and dimes worth?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the area of the parallelogram constructed on vectors $a$ and $b$.\nGiven:\n\\[ a = p - 3q \\]\n\\[ b = p + 2q \\]\n\\[ |p| = \\frac{1}{5} \\]\n\\[ |q| = 1 \\]\n\\[ (\\widehat{p, q})=\\frac{\\pi}{2} \\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.0",
"style": "rule"
}
|
{
"index": 7992,
"need_tools_kwargs": true,
"question": "Calculate the area of the parallelogram constructed on vectors $a$ and $b$.\nGiven:\n\\[ a = p - 3q \\]\n\\[ b = p + 2q \\]\n\\[ |p| = \\frac{1}{5} \\]\n\\[ |q| = 1 \\]\n\\[ (\\widehat{p, q})=\\frac{\\pi}{2} \\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films, The Shadow Play and Stampede (1949 film), have the directors who are from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7993,
"need_tools_kwargs": true,
"question": "Do both films, The Shadow Play and Stampede (1949 film), have the directors who are from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When two consecutive whole numbers are randomly selected, what is the probability that one of them is a multiple of 4? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7994,
"need_tools_kwargs": true,
"question": "When two consecutive whole numbers are randomly selected, what is the probability that one of them is a multiple of 4? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A box contains 5 white balls and 6 black balls. Five balls are drawn out of the box at random. What is the probability that they all are white?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{1}{462}",
"style": "rule"
}
|
{
"index": 7995,
"need_tools_kwargs": true,
"question": "A box contains 5 white balls and 6 black balls. Five balls are drawn out of the box at random. What is the probability that they all 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": "Consider the given functions: $$\\begin{array}{ccc}\nf(x) & = & 5x^2 - \\frac{1}{x}+ 3\\\\\ng(x) & = & x^2-k\n\\end{array}$$If $f(2) - g(2) = 2$, what is the value of $k$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-16.5",
"style": "rule"
}
|
{
"index": 7996,
"need_tools_kwargs": true,
"question": "Consider the given functions: $$\\begin{array}{ccc}\nf(x) & = & 5x^2 - \\frac{1}{x}+ 3\\\\\ng(x) & = & x^2-k\n\\end{array}$$If $f(2) - g(2) = 2$, what is the value of $k$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose the curve C has the polar coordinate equation $ρ\\sin^2θ - 8\\cos θ = 0$. Establish a rectangular coordinate system $xoy$ with the pole as the origin and the non-negative semi-axis of the polar axis as the $x$-axis. A line $l$, with an inclination angle of $α$, passes through point $P(2, 0)$.\n\n(1) Write the rectangular coordinate equation of curve C and the parametric equation of line $l$.\n(2) Suppose points $Q$ and $G$ have polar coordinates $\\left(2, \\dfrac{3π}{2}\\right)$ and $\\left(2, π\\right)$, respectively. If line $l$ passes through point $Q$ and intersects curve $C$ at points $A$ and $B$, find the area of triangle $GAB$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "16\\sqrt{2}",
"style": "rule"
}
|
{
"index": 7997,
"need_tools_kwargs": true,
"question": "Suppose the curve C has the polar coordinate equation $ρ\\sin^2θ - 8\\cos θ = 0$. Establish a rectangular coordinate system $xoy$ with the pole as the origin and the non-negative semi-axis of the polar axis as the $x$-axis. A line $l$, with an inclination angle of $α$, passes through point $P(2, 0)$.\n\n(1) Write the rectangular coordinate equation of curve C and the parametric equation of line $l$.\n(2) Suppose points $Q$ and $G$ have polar coordinates $\\left(2, \\dfrac{3π}{2}\\right)$ and $\\left(2, π\\right)$, respectively. If line $l$ passes through point $Q$ and intersects curve $C$ at points $A$ and $B$, find the area of triangle $GAB$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 younger, Kristine Duvholt Havnås or Jeevan Mendis?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jeevan Mendis",
"style": "rule"
}
|
{
"index": 7998,
"need_tools_kwargs": true,
"question": "Who is younger, Kristine Duvholt Havnås or Jeevan Mendis?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine all real numbers $a>0$ for which there exists a nonnegative continuous function $f(x)$ defined on $[0,a]$ with the property that the region $$R=\\{(x,y);0\\leq x\\leq a,0\\leq y\\leq f(x)\\}$$ has perimeter $k$ units and area $k$ square units for some real number $k.$ Please provide the smallest integer value of $a$ that satisfies the condition.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 7999,
"need_tools_kwargs": true,
"question": "Determine all real numbers $a>0$ for which there exists a nonnegative continuous function $f(x)$ defined on $[0,a]$ with the property that the region $$R=\\{(x,y);0\\leq x\\leq a,0\\leq y\\leq f(x)\\}$$ has perimeter $k$ units and area $k$ square units for some real number $k.$ Please provide the smallest integer value of $a$ that satisfies the condition.",
"split": "train"
}
| null |
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