data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is Pownoll Pellew, 2Nd Viscount Exmouth's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 6800,
"need_tools_kwargs": true,
"question": "What nationality is Pownoll Pellew, 2Nd Viscount Exmouth'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": "Curtis Allina added heads to the design while he was executive of a company of what nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Austrian",
"style": "rule"
}
|
{
"index": 6801,
"need_tools_kwargs": true,
"question": "Curtis Allina added heads to the design while he was executive of a company of what nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "函数 y=\\df{1}{3}\\cos2x+\\sin x-\\cos x 在区间 \\left[-\\df{\\pi}{2},\\df{\\pi}{2}\\right] 上的最大值为__________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 6802,
"need_tools_kwargs": true,
"question": "函数 y=\\df{1}{3}\\cos2x+\\sin x-\\cos x 在区间 \\left[-\\df{\\pi}{2},\\df{\\pi}{2}\\right] 上的最大值为__________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In addition to the 1988 American comedy-fantasy film directed by Tim Burton, what other film is Glenn Shadix known for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Nightmare Before Christmas",
"style": "rule"
}
|
{
"index": 6803,
"need_tools_kwargs": true,
"question": "In addition to the 1988 American comedy-fantasy film directed by Tim Burton, what other film is Glenn Shadix known for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A polygonal line connects two opposite vertices of a cube with side length 2. Each segment of the line has length 3, and each vertex of the line lies on the faces or edges of the cube. What is the smallest number of segments the line can have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 6804,
"need_tools_kwargs": true,
"question": "A polygonal line connects two opposite vertices of a cube with side length 2. Each segment of the line has length 3, and each vertex of the line lies on the faces or edges of the cube. What is the smallest number of segments the line can have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let the universal set $U=\\{(x,y) | x \\in \\mathbb{R}, y \\in \\mathbb{R}\\}$, and subsets $A=\\{(x,y) | 2x-y+m>0\\}$, $B=\\{(x,y) | x+y-n>0\\}$. Then, the necessary and sufficient condition for point $P(2,3)$ to belong to $(A \\cap C_{U}B)$ is.",
"role": "user"
}
] |
math
|
{
"ground_truth": "m > -1, n \\geq 5",
"style": "rule"
}
|
{
"index": 6805,
"need_tools_kwargs": true,
"question": "Let the universal set $U=\\{(x,y) | x \\in \\mathbb{R}, y \\in \\mathbb{R}\\}$, and subsets $A=\\{(x,y) | 2x-y+m>0\\}$, $B=\\{(x,y) | x+y-n>0\\}$. Then, the necessary and sufficient condition for point $P(2,3)$ to belong to $(A \\cap C_{U}B)$ is.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "对正整数 i，设 a_i=\\min\\left\\{k+\\df{i}{k}\\ |\\ k\\in\\bN_+\\right\\}. 设整数 n\\geq2，求 S_{n^2}=[a_1]+[a_2]+\\cdots+[a_{n^2}] 的值. 原始答案的形式为\\frac{kn^3+mn^2+pn+q}{6}，请给出k+m+p+q的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 6806,
"need_tools_kwargs": true,
"question": "对正整数 i，设 a_i=\\min\\left\\{k+\\df{i}{k}\\ |\\ k\\in\\bN_+\\right\\}. 设整数 n\\geq2，求 S_{n^2}=[a_1]+[a_2]+\\cdots+[a_{n^2}] 的值. 原始答案的形式为\\frac{kn^3+mn^2+pn+q}{6}，请给出k+m+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": "The central midfielder for Premier League club Chelsea and the Spain national team and what two others marketed Puma evoPOWER?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Marco Reus and Mario Balotelli.",
"style": "rule"
}
|
{
"index": 6807,
"need_tools_kwargs": true,
"question": "The central midfielder for Premier League club Chelsea and the Spain national team and what two others marketed Puma evoPOWER?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Leskoec, Resen and Gazabad, Khatunabad located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6808,
"need_tools_kwargs": true,
"question": "Are both Leskoec, Resen and Gazabad, Khatunabad 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": "Compute the limit of the function:\n\n\\[\n\\lim_{{x \\rightarrow 0}}\\left(5 - \\frac{4}{\\cos x}\\right)^{\\frac{1}{\\sin^2 3x}}\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\exp\\left(-\\frac{2}{9}\\right)",
"style": "rule"
}
|
{
"index": 6809,
"need_tools_kwargs": true,
"question": "Compute the limit of the function:\n\n\\[\n\\lim_{{x \\rightarrow 0}}\\left(5 - \\frac{4}{\\cos x}\\right)^{\\frac{1}{\\sin^2 3x}}\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": "For which integers \\( m \\) and \\( n \\) does the equation\n\n$$\n(5 + 3 \\sqrt{2})^{m} = (3 + 5 \\sqrt{2})^{n}\n$$\n\nhold?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 6810,
"need_tools_kwargs": true,
"question": "For which integers \\( m \\) and \\( n \\) does the equation\n\n$$\n(5 + 3 \\sqrt{2})^{m} = (3 + 5 \\sqrt{2})^{n}\n$$\n\nhold?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 first governor of the eighth least populous U.S. state?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nicholas Cooke",
"style": "rule"
}
|
{
"index": 6811,
"need_tools_kwargs": true,
"question": "Who was the first governor of the eighth least populous U.S. state?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Alifu Massaquoi and Ella Johnson from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6812,
"need_tools_kwargs": true,
"question": "Were Alifu Massaquoi and Ella Johnson 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": "Given 100 natural numbers \\(a_{1}, a_{2}, \\cdots, a_{100}\\) that satisfy the condition \\(a_{1} + a_{2} + \\cdots + a_{100} \\leq 1600\\), how many of these numbers are guaranteed to be identical at a minimum?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 6813,
"need_tools_kwargs": true,
"question": "Given 100 natural numbers \\(a_{1}, a_{2}, \\cdots, a_{100}\\) that satisfy the condition \\(a_{1} + a_{2} + \\cdots + a_{100} \\leq 1600\\), how many of these numbers are guaranteed to be identical at a minimum?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was the Mad Men actor who played Betty's ex-husband on the show born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1971",
"style": "rule"
}
|
{
"index": 6814,
"need_tools_kwargs": true,
"question": "What year was the Mad Men actor who played Betty's ex-husband on the show 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": "a) In Mexico City, there are regulations that restrict private cars from driving on city streets on two specified days of the week. A family needs to have at least ten cars available every day. What is the minimum number of cars the family needs if they can choose the restricted days for their cars?\n\nb) In Mexico City, each private car is restricted from driving on city streets on one specified day of the week. A wealthy family of ten people has bribed the police, allowing them to suggest two days, from which the police choose one as the restricted day. What is the minimum number of cars the family needs to buy to ensure that each family member can drive every day, given that the assignment of restricted days is done sequentially?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 6815,
"need_tools_kwargs": true,
"question": "a) In Mexico City, there are regulations that restrict private cars from driving on city streets on two specified days of the week. A family needs to have at least ten cars available every day. What is the minimum number of cars the family needs if they can choose the restricted days for their cars?\n\nb) In Mexico City, each private car is restricted from driving on city streets on one specified day of the week. A wealthy family of ten people has bribed the police, allowing them to suggest two days, from which the police choose one as the restricted day. What is the minimum number of cars the family needs to buy to ensure that each family member can drive every day, given that the assignment of restricted days is done sequentially?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For $ a\\in\\mathbb{R}$ , let $ M(a)$ be the maximum value of the function $ f(x)\\equal{}\\int_{0}^{\\pi}\\sin (x\\minus{}t)\\sin (2t\\minus{}a)\\ dt$ .\r\n\r\nEvaluate $ \\int_{0}^{\\frac{\\pi}{2}}M(a)\\sin (2a)\\ da$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6816,
"need_tools_kwargs": true,
"question": "For $ a\\in\\mathbb{R}$ , let $ M(a)$ be the maximum value of the function $ f(x)\\equal{}\\int_{0}^{\\pi}\\sin (x\\minus{}t)\\sin (2t\\minus{}a)\\ dt$ .\r\n\r\nEvaluate $ \\int_{0}^{\\frac{\\pi}{2}}M(a)\\sin (2a)\\ da$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Seychelles parakeet, occurred in the Indian Ocean islands of the Seychelles group, it resembled the Alexandrine parakeet, a member of the psittaciformes order and of the family Psittaculidae, the species is named after who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alexander the Great",
"style": "rule"
}
|
{
"index": 6817,
"need_tools_kwargs": true,
"question": "The Seychelles parakeet, occurred in the Indian Ocean islands of the Seychelles group, it resembled the Alexandrine parakeet, a member of the psittaciformes order and of the family Psittaculidae, the species is named after who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film The Phantom Flyer?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 6818,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Phantom Flyer?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 values \\( a = 2 \\) and \\( b = 5 \\), evaluate the following expressions: \\( \\frac{a}{b} \\), \\( \\frac{b}{a} \\), \\( a - b \\), \\( b - a \\), and \\( \\frac{1}{2} a \\). Determine which expression has the greatest value and explain your reasoning.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 6819,
"need_tools_kwargs": true,
"question": "Given the values \\( a = 2 \\) and \\( b = 5 \\), evaluate the following expressions: \\( \\frac{a}{b} \\), \\( \\frac{b}{a} \\), \\( a - b \\), \\( b - a \\), and \\( \\frac{1}{2} a \\). Determine which expression has the greatest value and explain 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": "A circle $M$ with its center on the $x$-axis and a radius of $\\sqrt{5}$ is located on the left side of the $y$-axis. It is tangent to the line $x + 2y = 0$. Determine the equation of circle $M$.\n\nA) ${{(x-\\sqrt{5})}^{2}}+{{y}^{2}}=5$\nB) ${{(x+\\sqrt{5})}^{2}}+{{y}^{2}}=5$\nC) ${{(x-5)}^{2}}+{{y}^{2}}=5$\nD) ${{(x+5)}^{2}}+{{y}^{2}}=5$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(x + 5)^2 + y^2 = 5",
"style": "rule"
}
|
{
"index": 6820,
"need_tools_kwargs": true,
"question": "A circle $M$ with its center on the $x$-axis and a radius of $\\sqrt{5}$ is located on the left side of the $y$-axis. It is tangent to the line $x + 2y = 0$. Determine the equation of circle $M$.\n\nA) ${{(x-\\sqrt{5})}^{2}}+{{y}^{2}}=5$\nB) ${{(x+\\sqrt{5})}^{2}}+{{y}^{2}}=5$\nC) ${{(x-5)}^{2}}+{{y}^{2}}=5$\nD) ${{(x+5)}^{2}}+{{y}^{2}}=5$",
"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": "Call a number \"Sam-azing\" if it is equal to the sum of its digits times the product of its digits. The only two three-digit Sam-azing numbers are $n$ and $n + 9$. Find $n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "135",
"style": "rule"
}
|
{
"index": 6821,
"need_tools_kwargs": true,
"question": "Call a number \"Sam-azing\" if it is equal to the sum of its digits times the product of its digits. The only two three-digit Sam-azing numbers are $n$ and $n + 9$. Find $n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In heptagon $GEOMETRY$, $\\angle G \\cong \\angle E \\cong \\angle T$ and $\\angle O$ is supplementary to $\\angle Y$. Determine the measure of $\\angle G$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "133.33^\\circ",
"style": "rule"
}
|
{
"index": 6822,
"need_tools_kwargs": true,
"question": "In heptagon $GEOMETRY$, $\\angle G \\cong \\angle E \\cong \\angle T$ and $\\angle O$ is supplementary to $\\angle Y$. Determine the measure of $\\angle G$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $P(2,0)$ is a point inside the circle $C$: $x^{2}+y^{2}-2x+2my+m^{2}-7=0 (m > 0)$, and the line $AB$ passing through point $P$ intersects circle $C$ at points $A$ and $B$. If the maximum area of $\\triangle ABC$ is $4$, then the range of the positive real number $m$ is $\\_\\_\\_\\_\\_\\_\\_\\_\\_.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "[\\sqrt{3},\\sqrt{7})",
"style": "rule"
}
|
{
"index": 6823,
"need_tools_kwargs": true,
"question": "Given that $P(2,0)$ is a point inside the circle $C$: $x^{2}+y^{2}-2x+2my+m^{2}-7=0 (m > 0)$, and the line $AB$ passing through point $P$ intersects circle $C$ at points $A$ and $B$. If the maximum area of $\\triangle ABC$ is $4$, then the range of the positive real number $m$ is $\\_\\_\\_\\_\\_\\_\\_\\_\\_.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who of Karen Carpenter and Alexi Laiho is from farther west?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Karen Anne Carpenter",
"style": "rule"
}
|
{
"index": 6824,
"need_tools_kwargs": true,
"question": "Who of Karen Carpenter and Alexi Laiho is from farther west?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A positive number x, when increased by 17, is equal to 60 times a certain function of the number. The value of x is 3. What is the function applied to the number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 6825,
"need_tools_kwargs": true,
"question": "A positive number x, when increased by 17, is equal to 60 times a certain function of the number. The value of x is 3. What is the function applied to the 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": "设正实数 a,b,c 满足(\\sqrt{ab}-1)(\\sqrt{bc}-1)(\\sqrt{ca}-1)=1.则a-\\df{b}{c},\\quad a-\\df{c}{b},\\quad b-\\df{a}{c},\\quad b-\\df{c}{a},\\quad c-\\df{a}{b},\\quad c-\\df{b}{a}中最多有多少个大于 1？",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 6826,
"need_tools_kwargs": true,
"question": "设正实数 a,b,c 满足(\\sqrt{ab}-1)(\\sqrt{bc}-1)(\\sqrt{ca}-1)=1.则a-\\df{b}{c},\\quad a-\\df{c}{b},\\quad b-\\df{a}{c},\\quad b-\\df{c}{a},\\quad c-\\df{a}{b},\\quad c-\\df{b}{a}中最多有多少个大于 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": "Who described an actor in the movie King Ralph as \"one of Britain's finest?\"",
"role": "user"
}
] |
qa
|
{
"ground_truth": "David Lynch",
"style": "rule"
}
|
{
"index": 6827,
"need_tools_kwargs": true,
"question": "Who described an actor in the movie King Ralph as \"one of Britain's finest?\"",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Suburra (Film) and Kung Fu Jungle from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6828,
"need_tools_kwargs": true,
"question": "Are both Suburra (Film) and Kung Fu Jungle 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": "The length of the segment between the points $(3a, a-5)$ and $(5, -3)$ is $5$ units. What is the product of all possible values for $a$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.4",
"style": "rule"
}
|
{
"index": 6829,
"need_tools_kwargs": true,
"question": "The length of the segment between the points $(3a, a-5)$ and $(5, -3)$ is $5$ units. What is the product of all possible values for $a$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many 7-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 such that among the four odd digits, any three are not all adjacent?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2736",
"style": "rule"
}
|
{
"index": 6830,
"need_tools_kwargs": true,
"question": "How many 7-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 such that among the four odd digits, any three are not all adjacent?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $n$ be a positive number such that when $221$ is divided by $n$, the remainder is $2$. Compute the sum of all possible two-digit values of $n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "76",
"style": "rule"
}
|
{
"index": 6831,
"need_tools_kwargs": true,
"question": "Let $n$ be a positive number such that when $221$ is divided by $n$, the remainder is $2$. Compute the sum of all possible two-digit values of $n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the director of film The Bandit'S Baby?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 21, 1890",
"style": "rule"
}
|
{
"index": 6832,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Bandit'S Baby?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the zeros of the function $f(x) = -|x-5| + 2^{x-1}$ are located in the interval $(k, k+1)$, then the integer $k$ equals \\_\\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6833,
"need_tools_kwargs": true,
"question": "If the zeros of the function $f(x) = -|x-5| + 2^{x-1}$ are located in the interval $(k, k+1)$, then the integer $k$ equals \\_\\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 equation:\n\n\\[ A = \\operatorname{ctg}\\left(\\frac{11 \\pi}{4}+\\frac{1}{2} \\arccos \\frac{2 b}{a}\\right)+\\operatorname{ctg}\\left(\\frac{11 \\pi}{4}-\\frac{1}{2} \\arccos \\frac{2 b}{a}\\right) \\]\n\nFind the value of \\( A \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{a}{b}",
"style": "rule"
}
|
{
"index": 6834,
"need_tools_kwargs": true,
"question": "Given the equation:\n\n\\[ A = \\operatorname{ctg}\\left(\\frac{11 \\pi}{4}+\\frac{1}{2} \\arccos \\frac{2 b}{a}\\right)+\\operatorname{ctg}\\left(\\frac{11 \\pi}{4}-\\frac{1}{2} \\arccos \\frac{2 b}{a}\\right) \\]\n\nFind the value of \\( A \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What art movement did the creator of Boy with a Glass and a Lute participate?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Baroque",
"style": "rule"
}
|
{
"index": 6835,
"need_tools_kwargs": true,
"question": "What art movement did the creator of Boy with a Glass and a Lute participate?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two spheres, each with a volume of \\( V \\), are positioned such that the center of each sphere is on the surface of the other sphere. What is the volume of their intersection?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.3125 \\cdot V",
"style": "rule"
}
|
{
"index": 6836,
"need_tools_kwargs": true,
"question": "Two spheres, each with a volume of \\( V \\), are positioned such that the center of each sphere is on the surface of the other sphere. What is the volume of their intersection?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are director of film Ghar Basake Dekho and director of film Radio Magic both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6837,
"need_tools_kwargs": true,
"question": "Are director of film Ghar Basake Dekho and director of film Radio Magic 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": "In the arithmetic sequence $\\_{a\\_n}$, $\\_{a\\_5}=33$, $\\_{a\\_{45}}=153$, determine the term for which $201$ is a member of the sequence.\nA: $60$\nB: $61$\nC: $62$\nD: $63$",
"role": "user"
}
] |
math
|
{
"ground_truth": "B (61)",
"style": "rule"
}
|
{
"index": 6838,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $\\_{a\\_n}$, $\\_{a\\_5}=33$, $\\_{a\\_{45}}=153$, determine the term for which $201$ is a member of the sequence.\nA: $60$\nB: $61$\nC: $62$\nD: $63$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 co- founded one of the stores that bought out some of the Focus DIY chain?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Richard Block and David Quayle",
"style": "rule"
}
|
{
"index": 6839,
"need_tools_kwargs": true,
"question": "Who co- founded one of the stores that bought out some of the Focus DIY chain?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which of the following numbers is a multiple of 9?\n(A) 50\n(B) 40\n(C) 35\n(D) 45\n(E) 55",
"role": "user"
}
] |
math
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"index": 6840,
"need_tools_kwargs": true,
"question": "Which of the following numbers is a multiple of 9?\n(A) 50\n(B) 40\n(C) 35\n(D) 45\n(E) 55",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 official music video of Rake It Up premiered on a streaming service maintained by which company ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Aspiro AB",
"style": "rule"
}
|
{
"index": 6841,
"need_tools_kwargs": true,
"question": "The official music video of Rake It Up premiered on a streaming service maintained by which company ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "One of the roots of the equation $x^3 - 3x + 1 = 0$ is within the interval $(k, k+1)$ ($k \\in \\mathbb{N}$), then $k =$ ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6842,
"need_tools_kwargs": true,
"question": "One of the roots of the equation $x^3 - 3x + 1 = 0$ is within the interval $(k, k+1)$ ($k \\in \\mathbb{N}$), then $k =$ ?",
"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 is the DEBKAfile that is named after an Arab folk dance native to the Levant countries?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "an Israeli military intelligence website based in Jerusalem",
"style": "rule"
}
|
{
"index": 6843,
"need_tools_kwargs": true,
"question": "What is the DEBKAfile that is named after an Arab folk dance native to the Levant countries?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Kings Langley F.C. has three successive promotions, similar to the football club based in what Manchester town?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Moston",
"style": "rule"
}
|
{
"index": 6844,
"need_tools_kwargs": true,
"question": "Kings Langley F.C. has three successive promotions, similar to the football club based in what Manchester town?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 side of a square is increased by some percentage, and its area increases by 44%. What is the percentage increase in the side of the square?",
"role": "user"
}
] |
math
|
{
"ground_truth": "20\\%",
"style": "rule"
}
|
{
"index": 6845,
"need_tools_kwargs": true,
"question": "The side of a square is increased by some percentage, and its area increases by 44%. What is the percentage increase in the side of the square?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Henry Dixon Kimber's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "18 December 1923",
"style": "rule"
}
|
{
"index": 6846,
"need_tools_kwargs": true,
"question": "What is the date of death of Henry Dixon Kimber'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": "What nationality is Princess Mathilde Of Bavaria (1877–1906)'s father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "German",
"style": "rule"
}
|
{
"index": 6847,
"need_tools_kwargs": true,
"question": "What nationality is Princess Mathilde Of Bavaria (1877–1906)'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": "In triangle $ABC$, $AB = 5$, $AC = 5$, and $BC = 6$. The medians $AD$, $BE$, and $CF$ intersect at the centroid $G$. Let the projections of $G$ onto $BC$, $AC$, and $AB$ be $P$, $Q$, and $R$, respectively. Find $GP + GQ + GR$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{68}{15}",
"style": "rule"
}
|
{
"index": 6848,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $AB = 5$, $AC = 5$, and $BC = 6$. The medians $AD$, $BE$, and $CF$ intersect at the centroid $G$. Let the projections of $G$ onto $BC$, $AC$, and $AB$ be $P$, $Q$, and $R$, respectively. Find $GP + GQ + GR$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is older, Gustaf Adolf Vive Sparre or Lila Pérez-Rul?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gustaf Adolf Vive Sparre",
"style": "rule"
}
|
{
"index": 6849,
"need_tools_kwargs": true,
"question": "Who is older, Gustaf Adolf Vive Sparre or Lila Pérez-Rul?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Jay Harrington and Daniel Odier both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6850,
"need_tools_kwargs": true,
"question": "Are Jay Harrington and Daniel Odier 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": "Are both villages, Huizinge and Siah Darreh, Kurdistan, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6851,
"need_tools_kwargs": true,
"question": "Are both villages, Huizinge and Siah Darreh, Kurdistan, 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": "Who wrote \"Lost and Forgotten\" which came 11th in Eurovision Song Contest 2010 in Oslo?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Peter Nalitch and Friends",
"style": "rule"
}
|
{
"index": 6852,
"need_tools_kwargs": true,
"question": "Who wrote \"Lost and Forgotten\" which came 11th in Eurovision Song Contest 2010 in Oslo?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Independent trials are conducted, in each of which event \\( A \\) can occur with a probability of 0.001. What is the probability that in 2000 trials, event \\( A \\) will occur at least two and at most four times?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.541",
"style": "rule"
}
|
{
"index": 6853,
"need_tools_kwargs": true,
"question": "Independent trials are conducted, in each of which event \\( A \\) can occur with a probability of 0.001. What is the probability that in 2000 trials, event \\( A \\) will occur at least two and at most four times?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $F_1$ and $F_2$ as the two foci of the hyperbola $x^2 - \\frac{y^2}{3} = 1$, and point $P$ on the hyperbola such that $3|PF_1| = 4|PF_2|$, determine the area of triangle $PF_1F_2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\sqrt{15}",
"style": "rule"
}
|
{
"index": 6854,
"need_tools_kwargs": true,
"question": "Given points $F_1$ and $F_2$ as the two foci of the hyperbola $x^2 - \\frac{y^2}{3} = 1$, and point $P$ on the hyperbola such that $3|PF_1| = 4|PF_2|$, determine the area of triangle $PF_1F_2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What were the nicknames of the managor who played at Oriole Park?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Little Napoleon\" and \"Mugsy\"",
"style": "rule"
}
|
{
"index": 6855,
"need_tools_kwargs": true,
"question": "What were the nicknames of the managor who played at Oriole Park?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 square \\(ABCD\\) where points \\(A\\) and \\(B\\) are located on the \\(x\\)-axis, and points \\(C\\) and \\(D\\) are positioned below the \\(x\\)-axis on the parabola defined by the equation \\(y = x^{2} - 4\\). Determine the area of square \\(ABCD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "24-8\\sqrt{5}",
"style": "rule"
}
|
{
"index": 6856,
"need_tools_kwargs": true,
"question": "Consider square \\(ABCD\\) where points \\(A\\) and \\(B\\) are located on the \\(x\\)-axis, and points \\(C\\) and \\(D\\) are positioned below the \\(x\\)-axis on the parabola defined by the equation \\(y = x^{2} - 4\\). Determine the area of square \\(ABCD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do Ahmad Faiz and Casey Malone have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6857,
"need_tools_kwargs": true,
"question": "Do Ahmad Faiz and Casey Malone 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": "Find the distance from the point \\((2, -3, 4)\\) to the line passing through \\((0, 3, -1)\\) and \\((3, 0, 2)\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{\\frac{1097}{81}}",
"style": "rule"
}
|
{
"index": 6858,
"need_tools_kwargs": true,
"question": "Find the distance from the point \\((2, -3, 4)\\) to the line passing through \\((0, 3, -1)\\) and \\((3, 0, 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": "When did the architectural firm with partner Gary Haney form?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1936",
"style": "rule"
}
|
{
"index": 6859,
"need_tools_kwargs": true,
"question": "When did the architectural firm with partner Gary Haney form?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Each of the lateral edges of a quadrilateral pyramid forms an angle $\\alpha$ with the height. The base of the pyramid is a rectangle with an angle $\\beta$ between the diagonals. Find the volume of the pyramid, given that its height is $h$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{3} h^3 \\tan^2 \\alpha \\sin \\beta",
"style": "rule"
}
|
{
"index": 6860,
"need_tools_kwargs": true,
"question": "Each of the lateral edges of a quadrilateral pyramid forms an angle $\\alpha$ with the height. The base of the pyramid is a rectangle with an angle $\\beta$ between the diagonals. Find the volume of the pyramid, given that its height is $h$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Does Timur Bolat have the same nationality as Duncan Rae?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6861,
"need_tools_kwargs": true,
"question": "Does Timur Bolat have the same nationality as Duncan Rae?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $ABC$ be an acute triangle with circumcenter $O$ , and select $E$ on $\\overline{AC}$ and $F$ on $\\overline{AB}$ so that $\\overline{BE} \\perp \\overline{AC}$ , $\\overline{CF} \\perp \\overline{AB}$ . Suppose $\\angle EOF - \\angle A = 90^{\\circ}$ and $\\angle AOB - \\angle B = 30^{\\circ}$ . If the maximum possible measure of $\\angle C$ is $\\tfrac mn \\cdot 180^{\\circ}$ for some positive integers $m$ and $n$ with $m < n$ and $\\gcd(m,n)=1$ , compute $m+n$ .\n\n*Proposed by Evan Chen*",
"role": "user"
}
] |
math
|
{
"ground_truth": "47",
"style": "rule"
}
|
{
"index": 6862,
"need_tools_kwargs": true,
"question": "Let $ABC$ be an acute triangle with circumcenter $O$ , and select $E$ on $\\overline{AC}$ and $F$ on $\\overline{AB}$ so that $\\overline{BE} \\perp \\overline{AC}$ , $\\overline{CF} \\perp \\overline{AB}$ . Suppose $\\angle EOF - \\angle A = 90^{\\circ}$ and $\\angle AOB - \\angle B = 30^{\\circ}$ . If the maximum possible measure of $\\angle C$ is $\\tfrac mn \\cdot 180^{\\circ}$ for some positive integers $m$ and $n$ with $m < n$ and $\\gcd(m,n)=1$ , compute $m+n$ .\n\n*Proposed by Evan Chen*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 action thriller film was John Finn in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Blown Away",
"style": "rule"
}
|
{
"index": 6863,
"need_tools_kwargs": true,
"question": "What action thriller film was John Finn in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the absolute value of the difference of single-digit integers $C$ and $D$ such that\n$$ \\begin{array}{c@{}c@{\\;}c@{}c@{}c@{}c}\n& & & D& D & C_3\\\\ \n& & & \\mathbf{5} & \\mathbf{2} & D_3\\\\\n& & + & C & \\mathbf{2} & \\mathbf{4_3}\\\\ \n\\cline{2-6} \n& & C & \\mathbf{2} & \\mathbf{4} & \\mathbf{0_3} \\\\ \n\\end{array} $$\nExpress your answer in base $3$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2_3",
"style": "rule"
}
|
{
"index": 6864,
"need_tools_kwargs": true,
"question": "Find the absolute value of the difference of single-digit integers $C$ and $D$ such that\n$$ \\begin{array}{c@{}c@{\\;}c@{}c@{}c@{}c}\n& & & D& D & C_3\\\\ \n& & & \\mathbf{5} & \\mathbf{2} & D_3\\\\\n& & + & C & \\mathbf{2} & \\mathbf{4_3}\\\\ \n\\cline{2-6} \n& & C & \\mathbf{2} & \\mathbf{4} & \\mathbf{0_3} \\\\ \n\\end{array} $$\nExpress your answer in base $3$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "William Hung gained fame due to his off-key audition performance of \"She Bangs\" by a singer that belonged to what boy pop group at the age of 12? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Menudo",
"style": "rule"
}
|
{
"index": 6865,
"need_tools_kwargs": true,
"question": "William Hung gained fame due to his off-key audition performance of \"She Bangs\" by a singer that belonged to what boy pop group at the age of 12? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Persons A, B, and C set out from location $A$ to location $B$ at the same time. Their speed ratio is 4: 5: 12, respectively, where A and B travel by foot, and C travels by bicycle. C can carry one person with him on the bicycle (without changing speed). In order for all three to reach $B$ at the same time in the shortest time possible, what is the ratio of the walking distances covered by A and B?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7/10",
"style": "rule"
}
|
{
"index": 6866,
"need_tools_kwargs": true,
"question": "Persons A, B, and C set out from location $A$ to location $B$ at the same time. Their speed ratio is 4: 5: 12, respectively, where A and B travel by foot, and C travels by bicycle. C can carry one person with him on the bicycle (without changing speed). In order for all three to reach $B$ at the same time in the shortest time possible, what is the ratio of the walking distances covered by 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": "What are all values of \\( p \\) such that for every \\( q > 0 \\), the inequality $$\\frac{4(pq^2 + p^2q + 4q^2 + 4pq)}{p + q} > 3p^2q$$ holds? Express your answer using interval notation.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left[0, 4\\right)",
"style": "rule"
}
|
{
"index": 6867,
"need_tools_kwargs": true,
"question": "What are all values of \\( p \\) such that for every \\( q > 0 \\), the inequality $$\\frac{4(pq^2 + p^2q + 4q^2 + 4pq)}{p + q} > 3p^2q$$ holds? Express your answer using interval notation.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the director of film The Recruiter (2004 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "8 October 1968",
"style": "rule"
}
|
{
"index": 6868,
"need_tools_kwargs": true,
"question": "When was the director of film The Recruiter (2004 Film) 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": "设非负实数 $a, b, c$ 满足 $a b+b c+c a=a+b+c>0$, 求 $\\sqrt{a b}+\\sqrt{b c}+\\sqrt{c a}$ 的最小值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6869,
"need_tools_kwargs": true,
"question": "设非负实数 $a, b, c$ 满足 $a b+b c+c a=a+b+c>0$, 求 $\\sqrt{a b}+\\sqrt{b c}+\\sqrt{c a}$ 的最小值。",
"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": "Which film has the director who is older, They Made Me A Fugitive or Devil'S Angels?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "They Made Me A Fugitive",
"style": "rule"
}
|
{
"index": 6870,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, They Made Me A Fugitive or Devil'S Angels?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 set $A=\\{x|x^{2}-5x+6=0\\}$, $B=\\{y|my+2=0\\}$, then the set of all values of $m$ that make $A\\cup B=A$ hold is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left\\{0, -1, -\\frac{2}{3}\\right\\}",
"style": "rule"
}
|
{
"index": 6871,
"need_tools_kwargs": true,
"question": "If set $A=\\{x|x^{2}-5x+6=0\\}$, $B=\\{y|my+2=0\\}$, then the set of all values of $m$ that make $A\\cup B=A$ hold 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": "Are both Ab Garm, Arzuiyeh and Baluk-E Zeni Rajabi located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 6872,
"need_tools_kwargs": true,
"question": "Are both Ab Garm, Arzuiyeh and Baluk-E Zeni Rajabi located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the cause of death of director of film Overland Red?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "gunshot wound",
"style": "rule"
}
|
{
"index": 6873,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Overland Red?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 British soldier received an award from Royal Society judges for a \"substantial contribution to the improvement of natural knowledge, including mathematics, engineering science and medical science\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "George Martin Lees",
"style": "rule"
}
|
{
"index": 6874,
"need_tools_kwargs": true,
"question": "What British soldier received an award from Royal Society judges for a \"substantial contribution to the improvement of natural knowledge, including mathematics, engineering science and medical 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 place of birth of the director of film The City Of The Sun (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Žilina",
"style": "rule"
}
|
{
"index": 6875,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The City Of The Sun (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The ratio of the areas of two concentric circles is $1: 3$. If the radius of the smaller is $r$, then the difference between the radii is best approximated by:",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.73r",
"style": "rule"
}
|
{
"index": 6876,
"need_tools_kwargs": true,
"question": "The ratio of the areas of two concentric circles is $1: 3$. If the radius of the smaller is $r$, then the difference between the radii is best approximated by:",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "to a sugar solution of 3 liters containing 40 % sugar , one liter of water is added . the percentage of sugar in the new solution is ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "30\\%",
"style": "rule"
}
|
{
"index": 6877,
"need_tools_kwargs": true,
"question": "to a sugar solution of 3 liters containing 40 % sugar , one liter of water is added . the percentage of sugar in the new solution 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": "The circumference of the front wheel of a cart is 30 ft long, that of the back wheel is 32 ft long, and the circumference of a third wheel is 34 ft long. What is the distance traveled by the cart, when the front wheel has done 5 more revolutions than the rear wheel and the third wheel has done 8 fewer revolutions than the rear wheel?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2400",
"style": "rule"
}
|
{
"index": 6878,
"need_tools_kwargs": true,
"question": "The circumference of the front wheel of a cart is 30 ft long, that of the back wheel is 32 ft long, and the circumference of a third wheel is 34 ft long. What is the distance traveled by the cart, when the front wheel has done 5 more revolutions than the rear wheel and the third wheel has done 8 fewer revolutions than the rear wheel?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film The Scarlet Letter (1934 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 25, 1953",
"style": "rule"
}
|
{
"index": 6879,
"need_tools_kwargs": true,
"question": "When did the director of film The Scarlet Letter (1934 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": "Who is the child of the director of film The Big Show-Off?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "David Bretherton",
"style": "rule"
}
|
{
"index": 6880,
"need_tools_kwargs": true,
"question": "Who is the child of the director of film The Big Show-Off?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the director of film Come Unto Down?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 15, 1945",
"style": "rule"
}
|
{
"index": 6881,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Come Unto Down?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 largest positive integer \\( n \\) such that \\( n! \\) ends with exactly 100 zeros.",
"role": "user"
}
] |
math
|
{
"ground_truth": "409",
"style": "rule"
}
|
{
"index": 6882,
"need_tools_kwargs": true,
"question": "Find the largest positive integer \\( n \\) such that \\( n! \\) ends with exactly 100 zeros.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 constant term in the expansion of $(x+ \\frac {1}{x})^{6}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "C_{6}^{3} = 20",
"style": "rule"
}
|
{
"index": 6883,
"need_tools_kwargs": true,
"question": "Find the constant term in the expansion of $(x+ \\frac {1}{x})^{6}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "One afternoon a bakery \ffinds that it has $300$ cups of flour and $300$ cups of sugar on hand. Annie and Sam decide to use this to make and sell some batches of cookies and some cakes. Each batch of cookies will require $1$ cup of flour and $3$ cups of sugar. Each cake will require $2$ cups of flour and $1$ cup of sugar. Annie thinks that each batch of cookies should sell for $2$ dollars and each cake for $1$ dollar, but Sam thinks that each batch of cookies should sell for $1$ dollar and each cake should sell for $3$ dollars. Find the difference between the maximum dollars of income they can receive if they use Sam's selling plan and the maximum dollars of income they can receive if they use Annie's selling plan.",
"role": "user"
}
] |
math
|
{
"ground_truth": "210",
"style": "rule"
}
|
{
"index": 6884,
"need_tools_kwargs": true,
"question": "One afternoon a bakery \ffinds that it has $300$ cups of flour and $300$ cups of sugar on hand. Annie and Sam decide to use this to make and sell some batches of cookies and some cakes. Each batch of cookies will require $1$ cup of flour and $3$ cups of sugar. Each cake will require $2$ cups of flour and $1$ cup of sugar. Annie thinks that each batch of cookies should sell for $2$ dollars and each cake for $1$ dollar, but Sam thinks that each batch of cookies should sell for $1$ dollar and each cake should sell for $3$ dollars. Find the difference between the maximum dollars of income they can receive if they use Sam's selling plan and the maximum dollars of income they can receive if they use Annie's selling plan.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Grace Unplugged is a 2013 Christian musical drama film starring an avid poker player who finished 134th out of 6,598 entrants in what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2012 World Series of Poker",
"style": "rule"
}
|
{
"index": 6885,
"need_tools_kwargs": true,
"question": "Grace Unplugged is a 2013 Christian musical drama film starring an avid poker player who finished 134th out of 6,598 entrants in what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given points \\( A_{0} \\), \\( B_{1} \\), and \\( C_{2} \\), construct a triangle \\( ABC \\) such that:\n- The foot of the altitude from \\( A \\) intersects the opposite side at \\( A_{0} \\).\n- The midpoint of the side \\( AC \\) is at \\( B_{1} \\).\n- The midpoint of the altitude from \\( C \\) intersects the altitude at \\( C_{2} \\).\n\nBased on the relative positions of the given points, determine the number of possible solutions for constructing triangle \\( ABC \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6886,
"need_tools_kwargs": true,
"question": "Given points \\( A_{0} \\), \\( B_{1} \\), and \\( C_{2} \\), construct a triangle \\( ABC \\) such that:\n- The foot of the altitude from \\( A \\) intersects the opposite side at \\( A_{0} \\).\n- The midpoint of the side \\( AC \\) is at \\( B_{1} \\).\n- The midpoint of the altitude from \\( C \\) intersects the altitude at \\( C_{2} \\).\n\nBased on the relative positions of the given points, determine the number of possible solutions for constructing triangle \\( ABC \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $(b_1, b_2, ... b_{12})$ be a list of the 12 integers from 4 to 15 inclusive such that for each $2 \\le i \\le 12$, either $b_i + 1$ or $b_i - 1$ or both appear somewhere before $b_i$ in the list. How many such lists are there?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2048",
"style": "rule"
}
|
{
"index": 6887,
"need_tools_kwargs": true,
"question": "Let $(b_1, b_2, ... b_{12})$ be a list of the 12 integers from 4 to 15 inclusive such that for each $2 \\le i \\le 12$, either $b_i + 1$ or $b_i - 1$ or both appear somewhere before $b_i$ in the list. How many such lists are there?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 area of the region bounded by the graphs of \\( y = x^2 \\), \\( y = x \\), and \\( x = 2 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6888,
"need_tools_kwargs": true,
"question": "Find the area of the region bounded by the graphs of \\( y = x^2 \\), \\( y = x \\), and \\( x = 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": "Calculate the limit of the numerical sequence:\n\n$$\n\\lim _{n \\rightarrow \\infty}\\left(\\frac{4 n^{2}+4 n-1}{4 n^{2}+2 n+3}\\right)^{1-2 n}\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\exp(-1)",
"style": "rule"
}
|
{
"index": 6889,
"need_tools_kwargs": true,
"question": "Calculate the limit of the numerical sequence:\n\n$$\n\\lim _{n \\rightarrow \\infty}\\left(\\frac{4 n^{2}+4 n-1}{4 n^{2}+2 n+3}\\right)^{1-2 n}\n$$",
"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": "Which professional tennis player is older, Stan Smith or Elena Likhovtseva?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Stanley Roger Smith (born December 14, 1946 in Pasadena, California)",
"style": "rule"
}
|
{
"index": 6890,
"need_tools_kwargs": true,
"question": "Which professional tennis player is older, Stan Smith or Elena Likhovtseva?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 piece of art by Raphael was sold by Joseph Joel Duveen to Peter Arrell Browne Widener in 1913?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Small Cowper Madonna",
"style": "rule"
}
|
{
"index": 6891,
"need_tools_kwargs": true,
"question": "Which piece of art by Raphael was sold by Joseph Joel Duveen to Peter Arrell Browne Widener in 1913?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, Rare Birds and The Flying Marine, have the directors who are from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6892,
"need_tools_kwargs": true,
"question": "Do both films, Rare Birds and The Flying Marine, 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": "The following list shows every number for which more than half of its digits are the digit $2$, in increasing order:\n\\[\n2, 22, 122, 202, 212, 220, 221, 222, 223, 224, \\dots\n\\]\nIf the $n$th term in the list is $2022$, what is $n$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 6893,
"need_tools_kwargs": true,
"question": "The following list shows every number for which more than half of its digits are the digit $2$, in increasing order:\n\\[\n2, 22, 122, 202, 212, 220, 221, 222, 223, 224, \\dots\n\\]\nIf the $n$th term in the list is $2022$, what is $n$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the composer of film Skidoo (Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "June 15, 1941",
"style": "rule"
}
|
{
"index": 6894,
"need_tools_kwargs": true,
"question": "When was the composer of film Skidoo (Film) 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": "Two circles with centers \\( P \\) and \\( Q \\) intersect at points \\( M \\) and \\( N \\), with the distance between these intersection points being 4 units. The lines \\( PM \\) and \\( QN \\) intersect the first circle at points \\( A \\) and \\( B \\), and the second circle at points \\( D \\) and \\( C \\) respectively. It is known that \\( AB = CD \\), and the area of the quadrilateral \\( ABCD \\) is \\( 24 \\sqrt{3} \\). Based on this information, determine the distance between the centers of the circles \\( P \\) and \\( Q \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4\\sqrt{3}",
"style": "rule"
}
|
{
"index": 6895,
"need_tools_kwargs": true,
"question": "Two circles with centers \\( P \\) and \\( Q \\) intersect at points \\( M \\) and \\( N \\), with the distance between these intersection points being 4 units. The lines \\( PM \\) and \\( QN \\) intersect the first circle at points \\( A \\) and \\( B \\), and the second circle at points \\( D \\) and \\( C \\) respectively. It is known that \\( AB = CD \\), and the area of the quadrilateral \\( ABCD \\) is \\( 24 \\sqrt{3} \\). Based on this information, determine the distance between the centers of the circles \\( P \\) and \\( Q \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Herbert Gintis and Cedric Bozeman both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 6896,
"need_tools_kwargs": true,
"question": "Are Herbert Gintis and Cedric Bozeman 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": "A book is composed of 12 identical notebooks. Each notebook consists of several double sheets nested within one another. The notebooks are stitched together sequentially. All pages in the book are numbered starting from 1. The sum of the numbers of four pages of one of the double sheets of the fourth notebook is 338. How many pages are in this book?",
"role": "user"
}
] |
math
|
{
"ground_truth": "288",
"style": "rule"
}
|
{
"index": 6897,
"need_tools_kwargs": true,
"question": "A book is composed of 12 identical notebooks. Each notebook consists of several double sheets nested within one another. The notebooks are stitched together sequentially. All pages in the book are numbered starting from 1. The sum of the numbers of four pages of one of the double sheets of the fourth notebook is 338. How many pages are in this book?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The lead drummer of Stand By Me is known for innovation in what type of music? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "funk",
"style": "rule"
}
|
{
"index": 6898,
"need_tools_kwargs": true,
"question": "The lead drummer of Stand By Me is known for innovation in what type of music? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "若 $x, y$ 为实数, 则 $|2 x+y|,|x-y|,|1+y|$ 这三个数中的最大数的最小值是以\\(\\frac{k}{m}\\)的形式给出，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 6899,
"need_tools_kwargs": true,
"question": "若 $x, y$ 为实数, 则 $|2 x+y|,|x-y|,|1+y|$ 这三个数中的最大数的最小值是以\\(\\frac{k}{m}\\)的形式给出，请给出k+m的值。",
"split": "train"
}
| null |
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