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": "If $\\int_{1}^{2} (2x+ \\frac{1}{x})dx=$ ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3+\\ln 2",
"style": "rule"
}
|
{
"index": 500,
"need_tools_kwargs": true,
"question": "If $\\int_{1}^{2} (2x+ \\frac{1}{x})dx=$ ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ordered triples of integers \\((x, y, z)\\) are there such that\n\\[ x^2 + y^2 + z^2 = 34 \\]?",
"role": "user"
}
] |
math
|
{
"ground_truth": "48",
"style": "rule"
}
|
{
"index": 501,
"need_tools_kwargs": true,
"question": "How many ordered triples of integers \\((x, y, z)\\) are there such that\n\\[ x^2 + y^2 + z^2 = 34 \\]?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film whose director is younger, Brunet Wieczorową Porą or Three Colours: Red?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Three Colours: Red",
"style": "rule"
}
|
{
"index": 502,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Brunet Wieczorową Porą or Three Colours: 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": "Determine the coefficients $a, b, c$ given that the following system of equations has no solution, but if $|x-1|$ is written instead of $x-1$ in the second equation, the pair $x = \\frac{3}{4}, y = \\frac{5}{8}$ satisfies the new system of equations.\n\n\\[\n\\begin{aligned}\n& a(x-1) + 2y = 1 \\\\\n& b(x-1) + cy = 3\n\\end{aligned}\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 503,
"need_tools_kwargs": true,
"question": "Determine the coefficients $a, b, c$ given that the following system of equations has no solution, but if $|x-1|$ is written instead of $x-1$ in the second equation, the pair $x = \\frac{3}{4}, y = \\frac{5}{8}$ satisfies the new system of equations.\n\n\\[\n\\begin{aligned}\n& a(x-1) + 2y = 1 \\\\\n& b(x-1) + cy = 3\n\\end{aligned}\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": "Right triangle $ABC$ has side lengths $BC=6$, $AC=8$, and $AB=10$. A circle centered at $O$ is tangent to line $BC$ at $B$ and passes through $A$. A circle centered at $P$ is tangent to line $AC$ at $A$ and passes through $B$. The original answer is in \\(\\frac{k}{m}\\) format, please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "47",
"style": "rule"
}
|
{
"index": 504,
"need_tools_kwargs": true,
"question": "Right triangle $ABC$ has side lengths $BC=6$, $AC=8$, and $AB=10$. A circle centered at $O$ is tangent to line $BC$ at $B$ and passes through $A$. A circle centered at $P$ is tangent to line $AC$ at $A$ and passes through $B$. The original answer is in \\(\\frac{k}{m}\\) format, please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Four coins are placed in a line. A passerby walks by and flips each coin, stopping if she ever obtains two adjacent heads. If the passerby manages to flip all four coins, find the number of possible head-tail combinations for her four flips.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 505,
"need_tools_kwargs": true,
"question": "Four coins are placed in a line. A passerby walks by and flips each coin, stopping if she ever obtains two adjacent heads. If the passerby manages to flip all four coins, find the number of possible head-tail combinations for her four flips.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sequence of numbers \\( t_{1}, t_{2}, t_{3}, \\ldots \\) is defined by\n\n$$\n\\left\\{\n\\begin{array}{l}\nt_{1}=2 \\\\\nt_{n+1}=\\frac{t_{n}-1}{t_{n}+1}\n\\end{array}\n\\right.\n$$\n\nfor each positive integer \\( n \\). Find \\( t_{2011} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-0.5",
"style": "rule"
}
|
{
"index": 506,
"need_tools_kwargs": true,
"question": "The sequence of numbers \\( t_{1}, t_{2}, t_{3}, \\ldots \\) is defined by\n\n$$\n\\left\\{\n\\begin{array}{l}\nt_{1}=2 \\\\\nt_{n+1}=\\frac{t_{n}-1}{t_{n}+1}\n\\end{array}\n\\right.\n$$\n\nfor each positive integer \\( n \\). Find \\( t_{2011} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Anubhavam?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24 October 2017",
"style": "rule"
}
|
{
"index": 507,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Anubhavam?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 award did Audra McDonald win like the award she won for Master Class?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "six Tony Awards",
"style": "rule"
}
|
{
"index": 508,
"need_tools_kwargs": true,
"question": "How many award did Audra McDonald win like the award she won for Master Class?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Italian football club team won the Serie A Championship in 1984-85 for their first and so far only Scudetto?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hellas Verona Football Club",
"style": "rule"
}
|
{
"index": 509,
"need_tools_kwargs": true,
"question": "What Italian football club team won the Serie A Championship in 1984-85 for their first and so far only Scudetto?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Extreme Centre: A Warning was a book by the activist who studied at which college?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Exeter College",
"style": "rule"
}
|
{
"index": 510,
"need_tools_kwargs": true,
"question": "The Extreme Centre: A Warning was a book by the activist who studied at which college?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Xiao Liang went to the science museum. The science museum is located 400 meters northeast of Xiao Liang's home. When Xiao Liang left home, he walked 600 meters in the northwest direction by mistake. At this time, he did not see the science museum. He asked a lady, and she didn't know where the science museum was, so she told him, \"Walk 400 meters in the northeast direction, and there is a supermarket. You can ask the uncle in the supermarket!\" After arriving at the supermarket, Xiao Liang needs to walk how many meters in which direction to reach the science museum?",
"role": "user"
}
] |
math
|
{
"ground_truth": "600",
"style": "rule"
}
|
{
"index": 511,
"need_tools_kwargs": true,
"question": "Xiao Liang went to the science museum. The science museum is located 400 meters northeast of Xiao Liang's home. When Xiao Liang left home, he walked 600 meters in the northwest direction by mistake. At this time, he did not see the science museum. He asked a lady, and she didn't know where the science museum was, so she told him, \"Walk 400 meters in the northeast direction, and there is a supermarket. You can ask the uncle in the supermarket!\" After arriving at the supermarket, Xiao Liang needs to walk how many meters in which direction to reach the science museum?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polygons A, B, C, D, and E, each constructed from unit squares and right triangles, calculate the area of each polygon and determine which one has the largest area. The details of the polygons are as follows:\n- **Polygon A**: Contains 6 unit squares.\n- **Polygon B**: Contains 3 unit squares and 2 right triangles.\n- **Polygon C**: Contains 4 unit squares and 4 right triangles.\n- **Polygon D**: Contains 5 unit squares.\n- **Polygon E**: Contains 6 unit squares and 2 right triangles.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 512,
"need_tools_kwargs": true,
"question": "Given the polygons A, B, C, D, and E, each constructed from unit squares and right triangles, calculate the area of each polygon and determine which one has the largest area. The details of the polygons are as follows:\n- **Polygon A**: Contains 6 unit squares.\n- **Polygon B**: Contains 3 unit squares and 2 right triangles.\n- **Polygon C**: Contains 4 unit squares and 4 right triangles.\n- **Polygon D**: Contains 5 unit squares.\n- **Polygon E**: Contains 6 unit squares and 2 right triangles.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 was the Republic of Kawait formed?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the aftermath of the invasion of Kuwait by Ba'athist Iraq during the early stages of the Persian Gulf War.",
"style": "rule"
}
|
{
"index": 513,
"need_tools_kwargs": true,
"question": "How was the Republic of Kawait formed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What do Munto and Macross Frontier have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "animated television series",
"style": "rule"
}
|
{
"index": 514,
"need_tools_kwargs": true,
"question": "What do Munto and Macross Frontier have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Usain is walking for exercise by zigzagging across a $100$-meter by $30$-meter rectangular field, beginning at point $A$ and ending on the segment $\\overline{BC}$. He wants to increase the distance walked by zigzagging as shown in the figure below $(APQRS)$. What angle $\\theta=\\angle PAB=\\angle QPC=\\angle RQB=\\cdots$ will produce a path length of $120$ meters? (Do not assume the zigzag path has exactly four segments as shown; there could be more or fewer.) If the answer is in the form of \\(\\arccos\\frac{k}{m}\\), provide the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 515,
"need_tools_kwargs": true,
"question": "Usain is walking for exercise by zigzagging across a $100$-meter by $30$-meter rectangular field, beginning at point $A$ and ending on the segment $\\overline{BC}$. He wants to increase the distance walked by zigzagging as shown in the figure below $(APQRS)$. What angle $\\theta=\\angle PAB=\\angle QPC=\\angle RQB=\\cdots$ will produce a path length of $120$ meters? (Do not assume the zigzag path has exactly four segments as shown; there could be more or fewer.) If the answer is in the form of \\(\\arccos\\frac{k}{m}\\), provide the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film The Reluctant Debutante (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 25, 1986",
"style": "rule"
}
|
{
"index": 516,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Reluctant Debutante (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": "Who is the child of the director of film The Singer Of Naples?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "David Bretherton",
"style": "rule"
}
|
{
"index": 517,
"need_tools_kwargs": true,
"question": "Who is the child of the director of film The Singer Of Naples?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 there exist natural numbers \\( m \\) and \\( n \\) for which the following equation holds: \\[ \\left(-2 a^{n} b^{n}\\right)^{m}+\\left(3 a^{m} b^{m}\\right)^{n}=a^{6} b^{6} \\]?\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "(m, n) = (3, 2)",
"style": "rule"
}
|
{
"index": 518,
"need_tools_kwargs": true,
"question": "Do there exist natural numbers \\( m \\) and \\( n \\) for which the following equation holds: \\[ \\left(-2 a^{n} b^{n}\\right)^{m}+\\left(3 a^{m} b^{m}\\right)^{n}=a^{6} b^{6} \\]?\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": "James splits 4 packs of stickers that have 30 stickers each. Each sticker cost $.10. If his friend pays for half how much did James pay?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6.00",
"style": "rule"
}
|
{
"index": 519,
"need_tools_kwargs": true,
"question": "James splits 4 packs of stickers that have 30 stickers each. Each sticker cost $.10. If his friend pays for half how much did James pay?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 student plans to consider the number of math problems done each day during the vacation. If the number of problems done exceeds $6$, it is recorded as a positive number, and if it is less than $6$, it is recorded as a negative number. The student's record of doing math problems over ten days is as follows: $-3$, $5$, $-4$, $2$, $-1$, $1$, $0$, $-3$, $8$, $7$. How many math problems did the student do in total over the ten days?",
"role": "user"
}
] |
math
|
{
"ground_truth": "72",
"style": "rule"
}
|
{
"index": 520,
"need_tools_kwargs": true,
"question": "A student plans to consider the number of math problems done each day during the vacation. If the number of problems done exceeds $6$, it is recorded as a positive number, and if it is less than $6$, it is recorded as a negative number. The student's record of doing math problems over ten days is as follows: $-3$, $5$, $-4$, $2$, $-1$, $1$, $0$, $-3$, $8$, $7$. How many math problems did the student do in total over the ten days?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Catherine & Co. die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 November 2002",
"style": "rule"
}
|
{
"index": 521,
"need_tools_kwargs": true,
"question": "When did the director of film Catherine & Co. die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How long is the mountain range that includes Turner's Gap?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "70 mi",
"style": "rule"
}
|
{
"index": 522,
"need_tools_kwargs": true,
"question": "How long is the mountain range that includes Turner's Gap?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that the expansion of $(x+1)^2\\left(x+ \\frac{1}{x^{3}}\\right)^n$ does not contain the term $x^2$, where $n\\in\\mathbb{N}^*$, and $5\\leq n \\leq 8$, then $n= \\_\\_\\_\\_\\_\\_$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 523,
"need_tools_kwargs": true,
"question": "Given that the expansion of $(x+1)^2\\left(x+ \\frac{1}{x^{3}}\\right)^n$ does not contain the term $x^2$, where $n\\in\\mathbb{N}^*$, and $5\\leq n \\leq 8$, then $n= \\_\\_\\_\\_\\_\\_$.",
"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": "The numbers \\( 13, 14, 15, \\ldots, 25 \\) are painted in five colors: one black number, three red numbers, three blue numbers, three yellow numbers, and three green numbers.\n\nIt is known that:\n- The sums of the numbers of all four groups of three numbers of the same color are equal.\n- The number 13 is red, 15 is yellow, and 23 is blue.\n\n(a) (1 point) Find the black number.\n\n(b) (3 points) Find the three green numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "142122",
"style": "rule"
}
|
{
"index": 524,
"need_tools_kwargs": true,
"question": "The numbers \\( 13, 14, 15, \\ldots, 25 \\) are painted in five colors: one black number, three red numbers, three blue numbers, three yellow numbers, and three green numbers.\n\nIt is known that:\n- The sums of the numbers of all four groups of three numbers of the same color are equal.\n- The number 13 is red, 15 is yellow, and 23 is blue.\n\n(a) (1 point) Find the black number.\n\n(b) (3 points) Find the three green numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $ABC$ be a triangle with $AB = 130$, $BC = 140$, $CA = 150$. Let $G$, $H$, $I$, $O$, $N$, $K$, $L$ be the centroid, orthocenter, incenter, circumcenter, nine-point center, the symmedian point, and the de Longchamps point. Let $D$, $E$, $F$ be the feet of the altitudes of $A$, $B$, $C$ on the sides $\\overline{BC}$, $\\overline{CA}$, $\\overline{AB}$. Let $X$, $Y$, $Z$ be the $A$, $B$, $C$ excenters and let $U$, $V$, $W$ denote the midpoints of $\\overline{IX}$, $\\overline{IY}$, $\\overline{IZ}$ (i.e., the midpoints of the arcs of $(ABC)$.) Let $R$, $S$, $T$ denote the isogonal conjugates of the midpoints of $\\overline{AD}$, $\\overline{BE}$, $\\overline{CF}$. Let $P$ and $Q$ denote the images of $G$ and $H$ under an inversion around the circumcircle of $ABC$ followed by a dilation at $O$ with factor $\\frac{1}{2}$, and denote by $M$ the midpoint of $\\overline{PQ}$. Then let $J$ be a point such that $JKLM$ is a parallelogram. Find the perimeter of the convex hull of the self-intersecting $17$-gon $LETSTRADEBITCOINS$ to the nearest integer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "420",
"style": "rule"
}
|
{
"index": 525,
"need_tools_kwargs": true,
"question": "Let $ABC$ be a triangle with $AB = 130$, $BC = 140$, $CA = 150$. Let $G$, $H$, $I$, $O$, $N$, $K$, $L$ be the centroid, orthocenter, incenter, circumcenter, nine-point center, the symmedian point, and the de Longchamps point. Let $D$, $E$, $F$ be the feet of the altitudes of $A$, $B$, $C$ on the sides $\\overline{BC}$, $\\overline{CA}$, $\\overline{AB}$. Let $X$, $Y$, $Z$ be the $A$, $B$, $C$ excenters and let $U$, $V$, $W$ denote the midpoints of $\\overline{IX}$, $\\overline{IY}$, $\\overline{IZ}$ (i.e., the midpoints of the arcs of $(ABC)$.) Let $R$, $S$, $T$ denote the isogonal conjugates of the midpoints of $\\overline{AD}$, $\\overline{BE}$, $\\overline{CF}$. Let $P$ and $Q$ denote the images of $G$ and $H$ under an inversion around the circumcircle of $ABC$ followed by a dilation at $O$ with factor $\\frac{1}{2}$, and denote by $M$ the midpoint of $\\overline{PQ}$. Then let $J$ be a point such that $JKLM$ is a parallelogram. Find the perimeter of the convex hull of the self-intersecting $17$-gon $LETSTRADEBITCOINS$ to the nearest integer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 real numbers $x$ are solutions to the following equation? \\[ |x-1| = |x-2| + |x-3| \\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 526,
"need_tools_kwargs": true,
"question": "How many real numbers $x$ are solutions to the following equation? \\[ |x-1| = |x-2| + |x-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": "Given triangle \\( ABC \\), where \\( 2h_c = AB \\) and \\( \\angle A = 75^\\circ \\). Find the measure of angle \\( C \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "75^\\circ",
"style": "rule"
}
|
{
"index": 527,
"need_tools_kwargs": true,
"question": "Given triangle \\( ABC \\), where \\( 2h_c = AB \\) and \\( \\angle A = 75^\\circ \\). Find the measure of angle \\( C \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films The Gilded Lily (1935 Film) and Fiskerlivets Farer share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 528,
"need_tools_kwargs": true,
"question": "Do both directors of films The Gilded Lily (1935 Film) and Fiskerlivets Farer share 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": "What type of series is the Argentine telenovela \"Sos mi vida\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "romantic comedy television series",
"style": "rule"
}
|
{
"index": 529,
"need_tools_kwargs": true,
"question": "What type of series is the Argentine telenovela \"Sos mi vida\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first, Albert Rivière or Péter Zwack?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Albert Rivière",
"style": "rule"
}
|
{
"index": 530,
"need_tools_kwargs": true,
"question": "Who was born first, Albert Rivière or Péter Zwack?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "During the measurement of a certain physical quantity, due to errors from the instrument and observation, \\( n \\) measurements yield \\( n \\) data points \\( a_{1}, a_{2}, \\cdots, a_{n} \\). The \"best approximation value\" \\( a \\) of the measured physical quantity is defined as the value that minimizes the sum of the squares of the differences between \\( a \\) and each data point. Derive the value of \\( a \\) based on the given data points \\( a_{1}, a_{2}, \\cdots, a_{n} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1}^na_i",
"style": "rule"
}
|
{
"index": 531,
"need_tools_kwargs": true,
"question": "During the measurement of a certain physical quantity, due to errors from the instrument and observation, \\( n \\) measurements yield \\( n \\) data points \\( a_{1}, a_{2}, \\cdots, a_{n} \\). The \"best approximation value\" \\( a \\) of the measured physical quantity is defined as the value that minimizes the sum of the squares of the differences between \\( a \\) and each data point. Derive the value of \\( a \\) based on the given data points \\( a_{1}, a_{2}, \\cdots, a_{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": "Army Network Enterprise Technology Command has headquarters at the Fort that was established on what date?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "3 March 1877",
"style": "rule"
}
|
{
"index": 532,
"need_tools_kwargs": true,
"question": "Army Network Enterprise Technology Command has headquarters at the Fort that was established on what date?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 car travels due east at 1 mile per minute on a long, straight road. Simultaneously, a circular storm, whose radius is 75 miles, moves northeast at $1 mile per minute$. At time $t=0$, the center of the storm is 130 miles due north of the car. At time $t=t_1$ minutes, the car enters the storm circle, and at time $t=t_2$ minutes, the car leaves the storm circle. Find $\\frac 12(t_1+t_2)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "260",
"style": "rule"
}
|
{
"index": 533,
"need_tools_kwargs": true,
"question": "A car travels due east at 1 mile per minute on a long, straight road. Simultaneously, a circular storm, whose radius is 75 miles, moves northeast at $1 mile per minute$. At time $t=0$, the center of the storm is 130 miles due north of the car. At time $t=t_1$ minutes, the car enters the storm circle, and at time $t=t_2$ minutes, the car leaves the storm circle. Find $\\frac 12(t_1+t_2)$.",
"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": "On a $3 \\times 3$ board, the numbers from $1$ to $9$ are written in some order without repeating. We say that the arrangement obtained is Isthmian if the numbers in any two adjacent squares have different parity. Determine the number of different Isthmian arrangements.\n\nNote: Two arrangements are considered equal if one can be obtained from the other by rotating the board.",
"role": "user"
}
] |
math
|
{
"ground_truth": "720",
"style": "rule"
}
|
{
"index": 534,
"need_tools_kwargs": true,
"question": "On a $3 \\times 3$ board, the numbers from $1$ to $9$ are written in some order without repeating. We say that the arrangement obtained is Isthmian if the numbers in any two adjacent squares have different parity. Determine the number of different Isthmian arrangements.\n\nNote: Two arrangements are considered equal if one can be obtained from the other by rotating the board.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Indiana Jones reached an abandoned temple in the jungle and entered the treasury. There were 5 chests, with the knowledge that only one contains the treasure, and the others trigger a stone slab to fall on the head of anyone who tries to open them. The chests are numbered from left to right.\n\n- The first, fourth, and fifth chests are made of cedar.\n- The second and third chests are made of sandalwood.\n- The inscriptions on the chests are as follows:\n - On the first chest: \"The treasure is in me or in the 4th chest.\"\n - On the second chest: \"The treasure is in the chest to the left of me.\"\n - On the third chest: \"The treasure is in me or in the chest at the far right.\"\n - On the fourth chest: \"There is no treasure in the chests to the left of me.\"\n - On the fifth chest: \"All the inscriptions on other chests are false.\"\n\nThe last guardian of the temple, before dying, revealed to Indiana a secret: an equal number of false statements are written on both cedar and sandalwood chests. \n\nIn which chest is the treasure?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 535,
"need_tools_kwargs": true,
"question": "Indiana Jones reached an abandoned temple in the jungle and entered the treasury. There were 5 chests, with the knowledge that only one contains the treasure, and the others trigger a stone slab to fall on the head of anyone who tries to open them. The chests are numbered from left to right.\n\n- The first, fourth, and fifth chests are made of cedar.\n- The second and third chests are made of sandalwood.\n- The inscriptions on the chests are as follows:\n - On the first chest: \"The treasure is in me or in the 4th chest.\"\n - On the second chest: \"The treasure is in the chest to the left of me.\"\n - On the third chest: \"The treasure is in me or in the chest at the far right.\"\n - On the fourth chest: \"There is no treasure in the chests to the left of me.\"\n - On the fifth chest: \"All the inscriptions on other chests are false.\"\n\nThe last guardian of the temple, before dying, revealed to Indiana a secret: an equal number of false statements are written on both cedar and sandalwood chests. \n\nIn which chest is the treasure?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 person considered a religious successor to the Islamic prophet Muhammad (Muhammad ibn ʿAbdullāh) and a leader of the entire Muslim community would have used what financial institution?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bayt al-mal",
"style": "rule"
}
|
{
"index": 536,
"need_tools_kwargs": true,
"question": "A person considered a religious successor to the Islamic prophet Muhammad (Muhammad ibn ʿAbdullāh) and a leader of the entire Muslim community would have used what financial institution?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the masks that Bill Johnson's character in the 1986 horror film made of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "human skin",
"style": "rule"
}
|
{
"index": 537,
"need_tools_kwargs": true,
"question": "What are the masks that Bill Johnson's character in the 1986 horror film made of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the equation \\( x^2 + px + q = 0 \\) by the substitution \\( x = y + z \\) and determining \\( z \\) (using its arbitrariness) so that a pure quadratic equation (i.e., not containing the first degree of the unknown) is obtained.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x = -\\frac{p}{2} \\pm \\sqrt{\\frac{p^2}{4} - q}",
"style": "rule"
}
|
{
"index": 538,
"need_tools_kwargs": true,
"question": "Solve the equation \\( x^2 + px + q = 0 \\) by the substitution \\( x = y + z \\) and determining \\( z \\) (using its arbitrariness) so that a pure quadratic equation (i.e., not containing the first degree of the unknown) is obtained.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2013 AdvoCare 500 was won by which racer and team owner?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kyle Thomas \"Rowdy\" Busch",
"style": "rule"
}
|
{
"index": 539,
"need_tools_kwargs": true,
"question": "The 2013 AdvoCare 500 was won by which racer and team owner?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Vovochka adds three-digit numbers in a column in the following way: he does not carry over tens, but writes the sum of pairs of digits in the same place value position under each pair of digits, even if the result is a two-digit number. For example, for the sum \\(248 + 208\\), he would get the result 4416. Find the smallest possible positive difference between Vovochka's answer and the correct answer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1800",
"style": "rule"
}
|
{
"index": 540,
"need_tools_kwargs": true,
"question": "Vovochka adds three-digit numbers in a column in the following way: he does not carry over tens, but writes the sum of pairs of digits in the same place value position under each pair of digits, even if the result is a two-digit number. For example, for the sum \\(248 + 208\\), he would get the result 4416. Find the smallest possible positive difference between Vovochka's answer and the correct answer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 number of students in grades V-VI of a particular school is represented by a three-digit number. If you find the product of the digits of this number, and then the product of the digits of the resulting number, you can represent these three numbers as:\n\n$$\n\\triangle \\bigcirc O ; \\triangle \\square ; \\square\n$$\n\n(The same symbols correspond to the same digits.) How many students are there in grades V-VI in this school?",
"role": "user"
}
] |
math
|
{
"ground_truth": "144",
"style": "rule"
}
|
{
"index": 541,
"need_tools_kwargs": true,
"question": "The number of students in grades V-VI of a particular school is represented by a three-digit number. If you find the product of the digits of this number, and then the product of the digits of the resulting number, you can represent these three numbers as:\n\n$$\n\\triangle \\bigcirc O ; \\triangle \\square ; \\square\n$$\n\n(The same symbols correspond to the same digits.) How many students are there in grades V-VI in this school?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Meeting Evil?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 542,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Meeting Evil?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Adrienne Marie Louise Grandpierre-Deverzy's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Valenciennes",
"style": "rule"
}
|
{
"index": 543,
"need_tools_kwargs": true,
"question": "What is the place of birth of Adrienne Marie Louise Grandpierre-Deverzy's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 number season of the National Football League was Paul King the umpire on Ronald Torbert's crew?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "98th",
"style": "rule"
}
|
{
"index": 544,
"need_tools_kwargs": true,
"question": "What number season of the National Football League was Paul King the umpire on Ronald Torbert's crew?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Were both Arthur Francis Buddington and Albert Seitz, born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 545,
"need_tools_kwargs": true,
"question": "Were both Arthur Francis Buddington and Albert Seitz, born in the same place?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ed and Ann both have lemonade with their lunch. If Ed orders a regular size drink of \\( x \\) ounces, and Ann orders a large lemonade that is 50% more than Ed's drink, how many ounces of lemonade did they drink together after both consumed \\(\\frac{3}{4}\\) of their drinks, Ann gave Ed a third of what she had left plus 2 additional ounces, and they realized they both drank the same amount?",
"role": "user"
}
] |
math
|
{
"ground_truth": "40",
"style": "rule"
}
|
{
"index": 546,
"need_tools_kwargs": true,
"question": "Ed and Ann both have lemonade with their lunch. If Ed orders a regular size drink of \\( x \\) ounces, and Ann orders a large lemonade that is 50% more than Ed's drink, how many ounces of lemonade did they drink together after both consumed \\(\\frac{3}{4}\\) of their drinks, Ann gave Ed a third of what she had left plus 2 additional ounces, and they realized they both drank the same amount?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 inverse function of the function $y=\\sin x, x\\in\\left[-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right]$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "y=\\arcsin x",
"style": "rule"
}
|
{
"index": 547,
"need_tools_kwargs": true,
"question": "The inverse function of the function $y=\\sin x, x\\in\\left[-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right]$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Acute triangle $ABC$ satisfies $AB=2AC$ and $AB^4+BC^4+CA^4 = 2006 \\cdot 10^{10}$. A tetrahedron $DEFP$ is formed by choosing points $D$, $E$, and $F$ on the segments $BC$, $CA$, and $AB$ (respectively) and folding $A$, $B$, $C$ over $EF$, $FD$, and $DE$ (respectively) to the common point $P$. Let $R$ denote the circumradius of $DEFP$. Compute the smallest positive integer $N$ for which we can be certain that $N \\geq R$. It may be helpful to use $\\sqrt[4]{1239} = 5.9329109\\ldots$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 548,
"need_tools_kwargs": true,
"question": "Acute triangle $ABC$ satisfies $AB=2AC$ and $AB^4+BC^4+CA^4 = 2006 \\cdot 10^{10}$. A tetrahedron $DEFP$ is formed by choosing points $D$, $E$, and $F$ on the segments $BC$, $CA$, and $AB$ (respectively) and folding $A$, $B$, $C$ over $EF$, $FD$, and $DE$ (respectively) to the common point $P$. Let $R$ denote the circumradius of $DEFP$. Compute the smallest positive integer $N$ for which we can be certain that $N \\geq R$. It may be helpful to use $\\sqrt[4]{1239} = 5.9329109\\ldots$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Horea, Satu Mare and Bazovik located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 549,
"need_tools_kwargs": true,
"question": "Are both Horea, Satu Mare and Bazovik 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": "Which artist featured in \"Cloud Nine\" is from South Gate, California?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cypress Hill",
"style": "rule"
}
|
{
"index": 550,
"need_tools_kwargs": true,
"question": "Which artist featured in \"Cloud Nine\" is from South Gate, California?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film The Road Through The Dark?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 551,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Road Through The Dark?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film Felix O'Day?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 552,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Felix O'Day?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 father of the director of film Idaho Transfer?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Henry Fonda",
"style": "rule"
}
|
{
"index": 553,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film Idaho Transfer?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two jobs do both Lucky McKee and William Shatner have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "actor, author",
"style": "rule"
}
|
{
"index": 554,
"need_tools_kwargs": true,
"question": "What two jobs do both Lucky McKee and William Shatner have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Tai-Pan (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "pulmonary fibrosis",
"style": "rule"
}
|
{
"index": 555,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Tai-Pan (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": "Born in China is narrated by an American actor best known for his role on what show?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Office",
"style": "rule"
}
|
{
"index": 556,
"need_tools_kwargs": true,
"question": "Born in China is narrated by an American actor best known for his role on what show?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $\\mathbb{Z}^{\\geq 0}$ be the set of all non-negative integers. Consider a function $f: \\mathbb{Z}^{\\geq 0} \\to \\mathbb{Z}^{\\geq 0}$ such that $f(0) = 1$ and $f(1) = 1$, and for any integer $n \\geq 1$, we have:\n\\[\nf(n + 1)f(n - 1) = nf(n)f(n - 1) + (f(n))^2.\n\\]\nDetermine the value of $\\frac{f(2023)}{f(2022)}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2045254",
"style": "rule"
}
|
{
"index": 557,
"need_tools_kwargs": true,
"question": "Let $\\mathbb{Z}^{\\geq 0}$ be the set of all non-negative integers. Consider a function $f: \\mathbb{Z}^{\\geq 0} \\to \\mathbb{Z}^{\\geq 0}$ such that $f(0) = 1$ and $f(1) = 1$, and for any integer $n \\geq 1$, we have:\n\\[\nf(n + 1)f(n - 1) = nf(n)f(n - 1) + (f(n))^2.\n\\]\nDetermine the value of $\\frac{f(2023)}{f(2022)}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 member of The Smoking Guns also wrestled in Japan?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Michael Polchlopek",
"style": "rule"
}
|
{
"index": 558,
"need_tools_kwargs": true,
"question": "What member of The Smoking Guns also wrestled in Japan?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Black Beauty (1946 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "German",
"style": "rule"
}
|
{
"index": 559,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Black Beauty (1946 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": "Let $D$ be a convex subset of the $n$-dimensional space, and suppose that $D'$ is obtained from $D$ by applying a positive central dilatation and then a translation. Suppose also that the sum of the volumes of $D$ and $D'$ is $1$, and $D \\cap D' \\neq \\emptyset$. Determine the supremum of the volume of the convex hull of $D \\cup D'$ taken for all such pairs of sets $D, D'$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 560,
"need_tools_kwargs": true,
"question": "Let $D$ be a convex subset of the $n$-dimensional space, and suppose that $D'$ is obtained from $D$ by applying a positive central dilatation and then a translation. Suppose also that the sum of the volumes of $D$ and $D'$ is $1$, and $D \\cap D' \\neq \\emptyset$. Determine the supremum of the volume of the convex hull of $D \\cup D'$ taken for all such pairs of sets $D, D'$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the performer of song Story Of A Life (Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 16, 1981",
"style": "rule"
}
|
{
"index": 561,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Story Of A Life (Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For breakfast, Daisy bought a muffin for $2 and a cup of coffee for $4. For lunch, Daisy had soup, a salad, and lemonade. The soup cost $3, the salad cost $5.25, and the lemonade cost $0.75. How much more money did Daisy spend on lunch than on breakfast?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3.00",
"style": "rule"
}
|
{
"index": 562,
"need_tools_kwargs": true,
"question": "For breakfast, Daisy bought a muffin for $2 and a cup of coffee for $4. For lunch, Daisy had soup, a salad, and lemonade. The soup cost $3, the salad cost $5.25, and the lemonade cost $0.75. How much more money did Daisy spend on lunch than on breakfast?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American Baptist pastor, and former president of Maranatha Baptist Bible College involved in a sex scandal involving the rape of a minor at Trinity Baptist Church in Concord, New Hampshire?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dr. Charles Phelps",
"style": "rule"
}
|
{
"index": 563,
"need_tools_kwargs": true,
"question": "Who was the American Baptist pastor, and former president of Maranatha Baptist Bible College involved in a sex scandal involving the rape of a minor at Trinity Baptist Church in Concord, New Hampshire?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider an arithmetic sequence \\(\\{a_n\\}\\) where \\(3a_8 = 5a_{13}\\) and \\(a_1 > 0\\). Let \\(S_n\\) represent the sum of the first \\(n\\) terms of the sequence. Which of the following is the maximum \\(S_n\\) (where \\(n \\in \\mathbb{N}\\))?\n(A) \\(S_{10}\\)\n(B) \\(S_{11}\\)\n(C) \\(S_{20}\\)\n(D) \\(S_{21}\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "S_{20}",
"style": "rule"
}
|
{
"index": 564,
"need_tools_kwargs": true,
"question": "Consider an arithmetic sequence \\(\\{a_n\\}\\) where \\(3a_8 = 5a_{13}\\) and \\(a_1 > 0\\). Let \\(S_n\\) represent the sum of the first \\(n\\) terms of the sequence. Which of the following is the maximum \\(S_n\\) (where \\(n \\in \\mathbb{N}\\))?\n(A) \\(S_{10}\\)\n(B) \\(S_{11}\\)\n(C) \\(S_{20}\\)\n(D) \\(S_{21}\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, B, and C have a total of 45 balls. If A gives 1 ball to B, B gives 2 balls to C, and C gives 3 balls to A, then they all have the same number of balls. How many balls did A, B, and C originally have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "131616",
"style": "rule"
}
|
{
"index": 565,
"need_tools_kwargs": true,
"question": "A, B, and C have a total of 45 balls. If A gives 1 ball to B, B gives 2 balls to C, and C gives 3 balls to A, then they all have the same number of balls. How many balls did A, B, and C originally 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": "Calculate the positive difference between the two expressions:\n\\[ C = 2 \\times 3 + 4 \\times 5 + 6 \\times 7 + \\cdots + 38 \\times 39 + 40 \\]\n\\[ D = 2 + 3 \\times 4 + 5 \\times 6 + \\cdots + 37 \\times 38 + 39 \\times 40 \\]\nwhere the sequences are similar to the previous problem but start from 2 and end at 40.",
"role": "user"
}
] |
math
|
{
"ground_truth": "323",
"style": "rule"
}
|
{
"index": 566,
"need_tools_kwargs": true,
"question": "Calculate the positive difference between the two expressions:\n\\[ C = 2 \\times 3 + 4 \\times 5 + 6 \\times 7 + \\cdots + 38 \\times 39 + 40 \\]\n\\[ D = 2 + 3 \\times 4 + 5 \\times 6 + \\cdots + 37 \\times 38 + 39 \\times 40 \\]\nwhere the sequences are similar to the previous problem but start from 2 and end at 40.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Among the following propositions:\n1. For the proposition p: $\\exists x \\in R$ such that $x^2 + x - 1 < 0$, the negation $\\neg p$: $\\forall x \\in R$, $x^2 + x - 1 > 0$.\n2. If p is a necessary but not sufficient condition for q, then $\\neg p$ is a sufficient but not necessary condition for $\\neg q$.\n3. The proposition \"If $\\sin x \\neq \\sin y$, then $x \\neq y$\" is true.\n4. $\\lg x > \\lg y$ is a necessary and sufficient condition for $x > y$.\n\nThe indices of all correct propositions are.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2,3",
"style": "rule"
}
|
{
"index": 567,
"need_tools_kwargs": true,
"question": "Among the following propositions:\n1. For the proposition p: $\\exists x \\in R$ such that $x^2 + x - 1 < 0$, the negation $\\neg p$: $\\forall x \\in R$, $x^2 + x - 1 > 0$.\n2. If p is a necessary but not sufficient condition for q, then $\\neg p$ is a sufficient but not necessary condition for $\\neg q$.\n3. The proposition \"If $\\sin x \\neq \\sin y$, then $x \\neq y$\" is true.\n4. $\\lg x > \\lg y$ is a necessary and sufficient condition for $x > y$.\n\nThe indices of all correct propositions are.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the value of $x$ where $6x^{-1} - 3x^{-1} \\times 2x^{-2} = 1.25$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x \\approx 1.698",
"style": "rule"
}
|
{
"index": 568,
"need_tools_kwargs": true,
"question": "Calculate the value of $x$ where $6x^{-1} - 3x^{-1} \\times 2x^{-2} = 1.25$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 man disqualified from the 1990 FIA European Formula Three Cup born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1969",
"style": "rule"
}
|
{
"index": 569,
"need_tools_kwargs": true,
"question": "What year was the man disqualified from the 1990 FIA European Formula Three Cup 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 start walking from a place at a uniform speed of 5 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .",
"role": "user"
}
] |
math
|
{
"ground_truth": "6.39",
"style": "rule"
}
|
{
"index": 570,
"need_tools_kwargs": true,
"question": "a start walking from a place at a uniform speed of 5 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of 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": "Are Black Rock High School and R. D. Parker Collegiate both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 571,
"need_tools_kwargs": true,
"question": "Are Black Rock High School and R. D. Parker Collegiate both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the last thing Father Martin said before he was burned alive in the 2013 video game \"Outlast\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Now, my son",
"style": "rule"
}
|
{
"index": 572,
"need_tools_kwargs": true,
"question": "What was the last thing Father Martin said before he was burned alive in the 2013 video game \"Outlast\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the number of multiplication and addition operations required in the process of evaluating the polynomial \\( f(x) = 5x^5 + 4x^4 + 3x^3 + 2x^2 + x + 1 \\) at \\( x = 2 \\) using the Horner's method (秦九韶算法).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 573,
"need_tools_kwargs": true,
"question": "Calculate the number of multiplication and addition operations required in the process of evaluating the polynomial \\( f(x) = 5x^5 + 4x^4 + 3x^3 + 2x^2 + x + 1 \\) at \\( x = 2 \\) using the Horner's method (秦九韶算法).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 smallest positive integer solution to the equation $2^{2^k} \\equiv k \\pmod{29}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 574,
"need_tools_kwargs": true,
"question": "Find the smallest positive integer solution to the equation $2^{2^k} \\equiv k \\pmod{29}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On an infinite chessboard (whose squares are labeled by \\((x, y)\\), where \\(x\\) and \\(y\\) range over all integers), a king is placed at \\((0, 0)\\). On each turn, it has a probability of \\(0.1\\) of moving to each of the four edge-neighboring squares, a probability of \\(0.05\\) of moving to each of the four diagonally-neighboring squares, and a probability of \\(0.4\\) of not moving. After \\(2008\\) turns, determine the probability that the king is on a square with both coordinates even. The original answer is in the form \\(\\frac{k}{m} + \\frac{n}{m \\cdot p^{q}}\\). Please give the value of \\(k + m + n + p + q\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2021",
"style": "rule"
}
|
{
"index": 575,
"need_tools_kwargs": true,
"question": "On an infinite chessboard (whose squares are labeled by \\((x, y)\\), where \\(x\\) and \\(y\\) range over all integers), a king is placed at \\((0, 0)\\). On each turn, it has a probability of \\(0.1\\) of moving to each of the four edge-neighboring squares, a probability of \\(0.05\\) of moving to each of the four diagonally-neighboring squares, and a probability of \\(0.4\\) of not moving. After \\(2008\\) turns, determine the probability that the king is on a square with both coordinates even. The original answer is in the form \\(\\frac{k}{m} + \\frac{n}{m \\cdot p^{q}}\\). Please give the value of \\(k + m + n + p + q\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the father of Elizabeth Amherst Hale born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sevenoaks",
"style": "rule"
}
|
{
"index": 576,
"need_tools_kwargs": true,
"question": "Where was the father of Elizabeth Amherst Hale born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director died later, Early To Bed (1936 Film) or Distant Drums?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Distant Drums",
"style": "rule"
}
|
{
"index": 577,
"need_tools_kwargs": true,
"question": "Which film has the director died later, Early To Bed (1936 Film) or Distant Drums?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 5th Wheel was initially hosted by the now-host of what comedy show?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Whose Line is it Anyway",
"style": "rule"
}
|
{
"index": 578,
"need_tools_kwargs": true,
"question": "The 5th Wheel was initially hosted by the now-host of what comedy show?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The town that Aaron Chimbel is from was named by what organization?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "United States Postal Service",
"style": "rule"
}
|
{
"index": 579,
"need_tools_kwargs": true,
"question": "The town that Aaron Chimbel is from was named by what organization?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Point $C$ has coordinates $(3, y)$. Point $C$ is first reflected over the $y$-axis and then over the $x$-axis. What is the sum of the four coordinate values after these two reflections?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-6",
"style": "rule"
}
|
{
"index": 580,
"need_tools_kwargs": true,
"question": "Point $C$ has coordinates $(3, y)$. Point $C$ is first reflected over the $y$-axis and then over the $x$-axis. What is the sum of the four coordinate values after these two reflections?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polynomial $2a^4 + 5ax^2 - 13x^3 - x^4 + 2021 + 2x + ax^3 - bx^4 - 13x^3$ is a quadratic polynomial, find the value of $a^2 + b^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "677",
"style": "rule"
}
|
{
"index": 581,
"need_tools_kwargs": true,
"question": "Given the polynomial $2a^4 + 5ax^2 - 13x^3 - x^4 + 2021 + 2x + ax^3 - bx^4 - 13x^3$ is a quadratic polynomial, find the value of $a^2 + b^2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the award named in honor of the English actor who studied at the Royal Academy and had an eight decade career?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Golden Quill",
"style": "rule"
}
|
{
"index": 582,
"need_tools_kwargs": true,
"question": "What is the name of the award named in honor of the English actor who studied at the Royal Academy and had an eight decade career?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $x,$ $y,$ and $z$ be positive real numbers such that\n\\[\\frac{1}{x^4} + \\frac{1}{y^4} + \\frac{1}{z^4} = 1.\\]Find the minimum value of\n\\[\\frac{x^4 y^4 + x^4 z^4 + y^4 z^4}{x^3 y^2 z^3}.\\]The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 583,
"need_tools_kwargs": true,
"question": "Let $x,$ $y,$ and $z$ be positive real numbers such that\n\\[\\frac{1}{x^4} + \\frac{1}{y^4} + \\frac{1}{z^4} = 1.\\]Find the minimum value of\n\\[\\frac{x^4 y^4 + x^4 z^4 + y^4 z^4}{x^3 y^2 z^3}.\\]The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Three integers have a sum of 18. When four more integers are added to the first three, the total sum becomes 49. Finally, when another three integers are added to the sum of the previous seven integers, the total sum reaches 75. Determine the maximum number of even integers among the ten integers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 584,
"need_tools_kwargs": true,
"question": "Three integers have a sum of 18. When four more integers are added to the first three, the total sum becomes 49. Finally, when another three integers are added to the sum of the previous seven integers, the total sum reaches 75. Determine the maximum number of even integers among the ten integers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设实数 $x,y$ 满足不等式组 \\(\\begin{cases} x-y\\leq0\\\\ 4x-y\\geq0\\\\ x+y\\leq 3\\end{cases}\\)，求 \\(z=x+2y-\\frac{1}{x}\\) 的最大值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 585,
"need_tools_kwargs": true,
"question": "设实数 $x,y$ 满足不等式组 \\(\\begin{cases} x-y\\leq0\\\\ 4x-y\\geq0\\\\ x+y\\leq 3\\end{cases}\\)，求 \\(z=x+2y-\\frac{1}{x}\\) 的最大值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Index of Effluency is the top prize awarded in a series of endurance races that holds the Guinness World Record for what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Most participants in one race",
"style": "rule"
}
|
{
"index": 586,
"need_tools_kwargs": true,
"question": " Index of Effluency is the top prize awarded in a series of endurance races that holds the Guinness World Record for 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": "In Colour, composed over a five year period, featured which artists?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Young Thug",
"style": "rule"
}
|
{
"index": 587,
"need_tools_kwargs": true,
"question": "In Colour, composed over a five year period, featured which artists?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $ABCD$ be a rectangle with $AB=10$ and $BC=26$. Let $\\omega_1$ be the circle with diameter $\\overline{AB}$ and $\\omega_2$ be the circle with diameter $\\overline{CD}$. Suppose $\\ell$ is a common internal tangent to $\\omega_1$ and $\\omega_2$ and that $\\ell$ intersects $AD$ and $BC$ at $E$ and $F$ respectively. What is $EF$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "26",
"style": "rule"
}
|
{
"index": 588,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be a rectangle with $AB=10$ and $BC=26$. Let $\\omega_1$ be the circle with diameter $\\overline{AB}$ and $\\omega_2$ be the circle with diameter $\\overline{CD}$. Suppose $\\ell$ is a common internal tangent to $\\omega_1$ and $\\omega_2$ and that $\\ell$ intersects $AD$ and $BC$ at $E$ and $F$ respectively. What is $EF$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the name of the last exhibition that took place at the Costume Institute under Richard Martin?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rock Style",
"style": "rule"
}
|
{
"index": 589,
"need_tools_kwargs": true,
"question": "What was the name of the last exhibition that took place at the Costume Institute under Richard Martin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Define the tower function of threes recursively: \\( T(1) = 3 \\) and \\( T(n + 1) = 3^{T(n)} \\) for \\( n \\geq 1 \\). Let \\( A = (T(2009))^{T(2009)} \\) and \\( B = (T(2009))^A \\). Determine the largest integer \\( k \\) for which the expression \n\n\\[\n\\underbrace{\\log_3\\log_3\\log_3\\ldots\\log_3B}_{k\\text{ times}}\n\\]\n\nis defined.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2010",
"style": "rule"
}
|
{
"index": 590,
"need_tools_kwargs": true,
"question": "Define the tower function of threes recursively: \\( T(1) = 3 \\) and \\( T(n + 1) = 3^{T(n)} \\) for \\( n \\geq 1 \\). Let \\( A = (T(2009))^{T(2009)} \\) and \\( B = (T(2009))^A \\). Determine the largest integer \\( k \\) for which the expression \n\n\\[\n\\underbrace{\\log_3\\log_3\\log_3\\ldots\\log_3B}_{k\\text{ times}}\n\\]\n\nis defined.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 plan is to transport 1240 tons of goods A and 880 tons of goods B using a fleet of trucks to a certain location. The fleet consists of two different types of truck carriages, A and B, with a total of 40 carriages. The cost of using each type A carriage is 6000 yuan, and the cost of using each type B carriage is 8000 yuan.\n\n(1) Write a function that represents the relationship between the total transportation cost (y, in ten thousand yuan) and the number of type A carriages used (x);\n\n(2) If each type A carriage can carry a maximum of 35 tons of goods A and 15 tons of goods B, and each type B carriage can carry a maximum of 25 tons of goods A and 35 tons of goods B, find all possible arrangements of the number of type A and type B carriages to be used according to this requirement;\n\n(3) Among these arrangements, which one has the minimum transportation cost, and what is the minimum cost?",
"role": "user"
}
] |
math
|
{
"ground_truth": "26.8",
"style": "rule"
}
|
{
"index": 591,
"need_tools_kwargs": true,
"question": "A plan is to transport 1240 tons of goods A and 880 tons of goods B using a fleet of trucks to a certain location. The fleet consists of two different types of truck carriages, A and B, with a total of 40 carriages. The cost of using each type A carriage is 6000 yuan, and the cost of using each type B carriage is 8000 yuan.\n\n(1) Write a function that represents the relationship between the total transportation cost (y, in ten thousand yuan) and the number of type A carriages used (x);\n\n(2) If each type A carriage can carry a maximum of 35 tons of goods A and 15 tons of goods B, and each type B carriage can carry a maximum of 25 tons of goods A and 35 tons of goods B, find all possible arrangements of the number of type A and type B carriages to be used according to this requirement;\n\n(3) Among these arrangements, which one has the minimum transportation cost, and what is the minimum cost?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( [x] \\) denote the greatest integer less than or equal to \\( x \\). Determine the number of positive integer solutions to the equation \\( [1.9 x] + [8.8 y] = 36 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 592,
"need_tools_kwargs": true,
"question": "Let \\( [x] \\) denote the greatest integer less than or equal to \\( x \\). Determine the number of positive integer solutions to the equation \\( [1.9 x] + [8.8 y] = 36 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 number of triples $(x,a,b)$ where $x$ is a real number and $a,b$ belong to the set $\\{1,2,3,4,5,6,7,8,9\\}$ such that $$x^2-a\\{x\\}+b=0.$$\nwhere $\\{x\\}$ denotes the fractional part of the real number $x$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "112",
"style": "rule"
}
|
{
"index": 593,
"need_tools_kwargs": true,
"question": "Find the number of triples $(x,a,b)$ where $x$ is a real number and $a,b$ belong to the set $\\{1,2,3,4,5,6,7,8,9\\}$ such that $$x^2-a\\{x\\}+b=0.$$\nwhere $\\{x\\}$ denotes the fractional part of the real number $x$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle \\( ABC \\), the lengths of the sides are given as \\( AB = 13 \\), \\( AC = 12 \\), and \\( BC = 5 \\). Circle \\( P \\) is defined as the circle with the smallest radius that passes through vertex \\( B \\) and is tangent to side \\( AC \\). Let \\( Q \\) and \\( R \\) be the points of intersection, distinct from \\( B \\), of circle \\( P \\) with sides \\( AB \\) and \\( BC \\), respectively. Calculate the length of segment \\( QR \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 594,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), the lengths of the sides are given as \\( AB = 13 \\), \\( AC = 12 \\), and \\( BC = 5 \\). Circle \\( P \\) is defined as the circle with the smallest radius that passes through vertex \\( B \\) and is tangent to side \\( AC \\). Let \\( Q \\) and \\( R \\) be the points of intersection, distinct from \\( B \\), of circle \\( P \\) with sides \\( AB \\) and \\( BC \\), respectively. Calculate the length of segment \\( QR \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first Aurél Stromfeld or Georges Clemenceau ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Georges Benjamin Clemenceau",
"style": "rule"
}
|
{
"index": 595,
"need_tools_kwargs": true,
"question": "Who was born first Aurél Stromfeld or Georges Clemenceau ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Positive integers $a$, $b$, $c$, and $d$ are selected such that $a < b < c < d$, and the system of equations \\[\n3x + y = 3005\\quad\\text{and}\\quad y = |x-a| + |x-b| + |x-c| + |x-d|\n\\] has exactly one solution. Determine the minimum value of $d$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "999",
"style": "rule"
}
|
{
"index": 596,
"need_tools_kwargs": true,
"question": "Positive integers $a$, $b$, $c$, and $d$ are selected such that $a < b < c < d$, and the system of equations \\[\n3x + y = 3005\\quad\\text{and}\\quad y = |x-a| + |x-b| + |x-c| + |x-d|\n\\] has exactly one solution. Determine the minimum value of $d$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "We have a five-digit positive integer $N$. We select every pair of digits of $N$ (and keep them in order) to obtain the $\\binom{5}{2} = 10$ numbers: 33, 37, 37, 37, 38, 73, 77, 78, 83, 87. Find $N$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "37837",
"style": "rule"
}
|
{
"index": 597,
"need_tools_kwargs": true,
"question": "We have a five-digit positive integer $N$. We select every pair of digits of $N$ (and keep them in order) to obtain the $\\binom{5}{2} = 10$ numbers: 33, 37, 37, 37, 38, 73, 77, 78, 83, 87. 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": "What nationality is Magdalena Kopp's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Venezuelan",
"style": "rule"
}
|
{
"index": 598,
"need_tools_kwargs": true,
"question": "What nationality is Magdalena Kopp's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Independent News & Media paper did Adair deliver in his youth?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Belfast Telegraph",
"style": "rule"
}
|
{
"index": 599,
"need_tools_kwargs": true,
"question": "What Independent News & Media paper did Adair deliver in his youth?",
"split": "train"
}
| null |
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