data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the name of the subdivision in which Toni Childs’ condo was located in the series Girlfriends?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hollywood Hancock Park",
"style": "rule"
}
|
{
"index": 1800,
"need_tools_kwargs": true,
"question": "What was the name of the subdivision in which Toni Childs’ condo was located in the series Girlfriends?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Tom catches crabs for a living. He has 8 crab buckets that he checks every day. Each crab bucket gets 12 crabs. He sells each of these crabs for a certain amount. He makes $3360 per week. How much does he sell each crab for?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$5",
"style": "rule"
}
|
{
"index": 1801,
"need_tools_kwargs": true,
"question": "Tom catches crabs for a living. He has 8 crab buckets that he checks every day. Each crab bucket gets 12 crabs. He sells each of these crabs for a certain amount. He makes $3360 per week. How much does he sell each crab for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "求所有的函数 f:\\bR\\rightarrow\\bR，使得对任意实数 x,y，均有(f(x)+xy)f(x-3y)+(f(y)+xy)f(3x-y)=f(x+y)^2。答案的形式为f(x) = a或f(x) = bx^2，请给出a+b的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 1802,
"need_tools_kwargs": true,
"question": "求所有的函数 f:\\bR\\rightarrow\\bR，使得对任意实数 x,y，均有(f(x)+xy)f(x-3y)+(f(y)+xy)f(3x-y)=f(x+y)^2。答案的形式为f(x) = a或f(x) = bx^2，请给出a+b的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film The Untamed (1920 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hollywood",
"style": "rule"
}
|
{
"index": 1803,
"need_tools_kwargs": true,
"question": "Where did the director of film The Untamed (1920 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Little Murder?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Serbian",
"style": "rule"
}
|
{
"index": 1804,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Little Murder?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine all prime numbers \\( p, q \\), and \\( r \\) such that \\( p + q^2 = r^4 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "(7, 3, 2)",
"style": "rule"
}
|
{
"index": 1805,
"need_tools_kwargs": true,
"question": "Determine all prime numbers \\( p, q \\), and \\( r \\) such that \\( p + q^2 = r^4 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film The War On Democracy?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Australian",
"style": "rule"
}
|
{
"index": 1806,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The War On Democracy?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Academy Awards have been won by the director/producer/screenwriter team that handled the film Surviving Picasso?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "six",
"style": "rule"
}
|
{
"index": 1807,
"need_tools_kwargs": true,
"question": "How many Academy Awards have been won by the director/producer/screenwriter team that handled the film Surviving Picasso?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the binomial expansion of $( \\sqrt[3]{x} - \\frac{2}{x})^{n}$, if only the coefficient of the 5th term is the greatest, then the constant term of the binomial expansion is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "112",
"style": "rule"
}
|
{
"index": 1808,
"need_tools_kwargs": true,
"question": "In the binomial expansion of $( \\sqrt[3]{x} - \\frac{2}{x})^{n}$, if only the coefficient of the 5th term is the greatest, then the constant term of the binomial expansion is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Nerdcore Rising (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1809,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Nerdcore Rising (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": "Find the digits \\( x, y, z \\) in the equation \\( \\overline{x5} \\cdot \\overline{3yz} = 7850 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "(x, y, z) = (2, 1, 4)",
"style": "rule"
}
|
{
"index": 1810,
"need_tools_kwargs": true,
"question": "Find the digits \\( x, y, z \\) in the equation \\( \\overline{x5} \\cdot \\overline{3yz} = 7850 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Cat and Claire are having a conversation about Cat's favorite number.\n\nCat says, \"My favorite number is a two-digit positive integer with distinct nonzero digits, $\\overline{AB}$, such that $A$ and $B$ are both factors of $\\overline{AB}$.\"\n\nClaire says, \"I don't know your favorite number yet, but I do know that among four of the numbers that might be your favorite number, you could start with any one of them, add a second, subtract a third, and get the fourth!\"\n\nCat says, \"That's cool, and my favorite number is among those four numbers! Also, the square of my number is the product of two of the other numbers among the four you mentioned!\"\n\nClaire says, \"Now I know your favorite number!\"\n\nWhat is Cat's favorite number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 1811,
"need_tools_kwargs": true,
"question": "Cat and Claire are having a conversation about Cat's favorite number.\n\nCat says, \"My favorite number is a two-digit positive integer with distinct nonzero digits, $\\overline{AB}$, such that $A$ and $B$ are both factors of $\\overline{AB}$.\"\n\nClaire says, \"I don't know your favorite number yet, but I do know that among four of the numbers that might be your favorite number, you could start with any one of them, add a second, subtract a third, and get the fourth!\"\n\nCat says, \"That's cool, and my favorite number is among those four numbers! Also, the square of my number is the product of two of the other numbers among the four you mentioned!\"\n\nClaire says, \"Now I know your favorite number!\"\n\nWhat is Cat's favorite number?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\"To the End of the Earth\" is a song that was promoted at a super-regional shopping centre with how many stores initally?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "88",
"style": "rule"
}
|
{
"index": 1812,
"need_tools_kwargs": true,
"question": "\"To the End of the Earth\" is a song that was promoted at a super-regional shopping centre with how many stores initally?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 circles are tangent to each other, as shown in the figure. The area of the region of the outer circle that is not covered by the two inner circles is $2 \\pi$. Determine the length of the segment $PQ$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 1813,
"need_tools_kwargs": true,
"question": "Three circles are tangent to each other, as shown in the figure. The area of the region of the outer circle that is not covered by the two inner circles is $2 \\pi$. Determine the length of the segment $PQ$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a, b, c$, and $d$ be real numbers such that $a^2 + b^2 + c^2 + d^2 = 3a + 8b + 24c + 37d = 2018$. Evaluate $3b + 8c + 24d + 37a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1215",
"style": "rule"
}
|
{
"index": 1814,
"need_tools_kwargs": true,
"question": "Let $a, b, c$, and $d$ be real numbers such that $a^2 + b^2 + c^2 + d^2 = 3a + 8b + 24c + 37d = 2018$. Evaluate $3b + 8c + 24d + 37a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 In Crowd (2000 Film) and Digna... Hasta El Último Aliento share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1815,
"need_tools_kwargs": true,
"question": "Do both directors of films The In Crowd (2000 Film) and Digna... Hasta El Último Aliento 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": "In the geoboard shown, the points are evenly spaced vertically and horizontally. Segment $AB$ is drawn using two points, as shown. Point $C$ is to be chosen from the remaining $23$ points. How many of these $23$ points will result in triangle $ABC$ being isosceles? [asy]\ndraw((0,0)--(0,6)--(6,6)--(6,0)--cycle,linewidth(1));\nfor(int i=1;i<6;++i)\n{for(int j=1;j<6;++j)\n{dot((i,j));}\n}\ndraw((2,2)--(4,2),linewidth(1));\nlabel(\"A\",(2,2),SW);\nlabel(\"B\",(4,2),SE);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 1816,
"need_tools_kwargs": true,
"question": "In the geoboard shown, the points are evenly spaced vertically and horizontally. Segment $AB$ is drawn using two points, as shown. Point $C$ is to be chosen from the remaining $23$ points. How many of these $23$ points will result in triangle $ABC$ being isosceles? [asy]\ndraw((0,0)--(0,6)--(6,6)--(6,0)--cycle,linewidth(1));\nfor(int i=1;i<6;++i)\n{for(int j=1;j<6;++j)\n{dot((i,j));}\n}\ndraw((2,2)--(4,2),linewidth(1));\nlabel(\"A\",(2,2),SW);\nlabel(\"B\",(4,2),SE);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $n$ be the least positive integer for which $149^n-2^n$ is divisible by $3^3\\cdot5^5\\cdot7^7.$ Find the number of positive integer divisors of $n.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "270",
"style": "rule"
}
|
{
"index": 1817,
"need_tools_kwargs": true,
"question": "Let $n$ be the least positive integer for which $149^n-2^n$ is divisible by $3^3\\cdot5^5\\cdot7^7.$ Find the number of positive integer divisors of $n.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sequence \\(a_{n}\\) is defined as follows:\n\n\\(a_{1}=2, a_{n+1}=a_{n}+\\frac{2 a_{n}}{n}\\), for \\(n \\geq 1\\). Find \\(a_{100}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "10100.0",
"style": "rule"
}
|
{
"index": 1818,
"need_tools_kwargs": true,
"question": "The sequence \\(a_{n}\\) is defined as follows:\n\n\\(a_{1}=2, a_{n+1}=a_{n}+\\frac{2 a_{n}}{n}\\), for \\(n \\geq 1\\). Find \\(a_{100}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the composer of song Yo Ho (A Pirate'S Life For Me)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1819,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song Yo Ho (A Pirate'S Life For Me)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 times did the player who was given a wild card entry to the 2013 World Championship win the World Championship ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "five-time",
"style": "rule"
}
|
{
"index": 1820,
"need_tools_kwargs": true,
"question": "How many times did the player who was given a wild card entry to the 2013 World Championship win the World Championship ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Holger Sinding-Larsen was most associated with his work at a fortressed used as what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "used as a palace and as a prison",
"style": "rule"
}
|
{
"index": 1821,
"need_tools_kwargs": true,
"question": "Holger Sinding-Larsen was most associated with his work at a fortressed used as 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": "Calculate the total number of unique four-digit numbers formed by the digits 2, 3, 4, 5, and 6, without any repetition, in which the digits 5 and 6 are adjacent, and the entire number is odd.",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 1822,
"need_tools_kwargs": true,
"question": "Calculate the total number of unique four-digit numbers formed by the digits 2, 3, 4, 5, and 6, without any repetition, in which the digits 5 and 6 are adjacent, and the entire number is odd.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Once Before I Die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 22, 1998",
"style": "rule"
}
|
{
"index": 1823,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Once Before I 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": "Does the FOX News - Health article fail to identify the Mayo Clinic as taking a leadership role in artificial intelligence efforts in health care, while the TechCrunch article credits California with leading in privacy-protective innovation for AI technologies?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1824,
"need_tools_kwargs": true,
"question": "Does the FOX News - Health article fail to identify the Mayo Clinic as taking a leadership role in artificial intelligence efforts in health care, while the TechCrunch article credits California with leading in privacy-protective innovation for AI technologies?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\nFor \\( x, y \\in [1,3] \\), find the minimum value of the expression\n\n\\[ \nA = \\frac{(3xy + x^{2}) \\sqrt{3xy + x - 3y} + (3xy + y^{2}) \\sqrt{3xy + y - 3x}}{x^{2} y + y^{2} x} \n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.0",
"style": "rule"
}
|
{
"index": 1825,
"need_tools_kwargs": true,
"question": "\nFor \\( x, y \\in [1,3] \\), find the minimum value of the expression\n\n\\[ \nA = \\frac{(3xy + x^{2}) \\sqrt{3xy + x - 3y} + (3xy + y^{2}) \\sqrt{3xy + y - 3x}}{x^{2} y + y^{2} x} \n\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x) = x + \\sin(\\pi x) - 3$, study its symmetry center $(a, b)$ and find the value of $f\\left( \\frac {1}{2016} \\right) + f\\left( \\frac {2}{2016} \\right) + f\\left( \\frac {3}{2016} \\right) + \\ldots + f\\left( \\frac {4030}{2016} \\right) + f\\left( \\frac {4031}{2016} \\right)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-8062",
"style": "rule"
}
|
{
"index": 1826,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = x + \\sin(\\pi x) - 3$, study its symmetry center $(a, b)$ and find the value of $f\\left( \\frac {1}{2016} \\right) + f\\left( \\frac {2}{2016} \\right) + f\\left( \\frac {3}{2016} \\right) + \\ldots + f\\left( \\frac {4030}{2016} \\right) + f\\left( \\frac {4031}{2016} \\right)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $x$. For example, $[3.15]=3,[3.7]=3,[3]=3$. Find the value of $[\\sqrt[3]{1 \\cdot 2 \\cdot 3}]+[\\sqrt[3]{2 \\cdot 3 \\cdot 4}]+[\\sqrt[3]{3 \\cdot 4 \\cdot 5}]+\\cdots+[\\sqrt[3]{2000 \\cdot 2001 \\cdot 2002}]$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2001000",
"style": "rule"
}
|
{
"index": 1827,
"need_tools_kwargs": true,
"question": "Let $[x]$ denote the greatest integer less than or equal to $x$. For example, $[3.15]=3,[3.7]=3,[3]=3$. Find the value of $[\\sqrt[3]{1 \\cdot 2 \\cdot 3}]+[\\sqrt[3]{2 \\cdot 3 \\cdot 4}]+[\\sqrt[3]{3 \\cdot 4 \\cdot 5}]+\\cdots+[\\sqrt[3]{2000 \\cdot 2001 \\cdot 2002}]$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 French film was spoofed in My Big Fat Independent Movie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Amélie",
"style": "rule"
}
|
{
"index": 1828,
"need_tools_kwargs": true,
"question": "Which French film was spoofed in My Big Fat Independent Movie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the probability that when rolling 10 fair dice, each number from 1 to 6 appears on at least one die?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.271812128486511",
"style": "rule"
}
|
{
"index": 1829,
"need_tools_kwargs": true,
"question": "What is the probability that when rolling 10 fair dice, each number from 1 to 6 appears on at least one 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": "One angle of a parallelogram is 150 degrees, and two consecutive sides have lengths of 10 inches and 12 inches. What is the area of the parallelogram? Express your answer in simplest radical form.",
"role": "user"
}
] |
math
|
{
"ground_truth": "60\\sqrt{3}",
"style": "rule"
}
|
{
"index": 1830,
"need_tools_kwargs": true,
"question": "One angle of a parallelogram is 150 degrees, and two consecutive sides have lengths of 10 inches and 12 inches. What is the area of the parallelogram? Express your answer in simplest radical form.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the smallest positive integer such that when the last digit is moved to the front, the new number is $\\frac{3}{2}$ times the original number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "285714",
"style": "rule"
}
|
{
"index": 1831,
"need_tools_kwargs": true,
"question": "Find the smallest positive integer such that when the last digit is moved to the front, the new number is $\\frac{3}{2}$ times the original number.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Bob started out the week with $80. On Monday alone, he spent half the money. On Tuesday, he spent one-fifth of the amount left from Monday. On Wednesday, he spent some portion of the amount left from Tuesday. He has $20 left now. What is the ratio of the amount spent on Wednesday to the amount left from Tuesday?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3:8",
"style": "rule"
}
|
{
"index": 1832,
"need_tools_kwargs": true,
"question": "Bob started out the week with $80. On Monday alone, he spent half the money. On Tuesday, he spent one-fifth of the amount left from Monday. On Wednesday, he spent some portion of the amount left from Tuesday. He has $20 left now. What is the ratio of the amount spent on Wednesday to the amount left from Tuesday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute the number of tuples $\\left(a_{0}, a_{1}, a_{2}, a_{3}, a_{4}, a_{5}\\right)$ of (not necessarily positive) integers such that $a_{i} \\leq i$ for all $0 \\leq i \\leq 5$ and $$a_{0}+a_{1}+\\cdots+a_{5}=6$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2002",
"style": "rule"
}
|
{
"index": 1833,
"need_tools_kwargs": true,
"question": "Compute the number of tuples $\\left(a_{0}, a_{1}, a_{2}, a_{3}, a_{4}, a_{5}\\right)$ of (not necessarily positive) integers such that $a_{i} \\leq i$ for all $0 \\leq i \\leq 5$ and $$a_{0}+a_{1}+\\cdots+a_{5}=6$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which retired Australian rules football player and administrator for the Richmond Football Club was a pre-count favourite for the 1995 Brownlow Medal?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Wayne Campbell",
"style": "rule"
}
|
{
"index": 1834,
"need_tools_kwargs": true,
"question": "Which retired Australian rules football player and administrator for the Richmond Football Club was a pre-count favourite for the 1995 Brownlow Medal?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Delamu study?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Beijing Film Academy",
"style": "rule"
}
|
{
"index": 1835,
"need_tools_kwargs": true,
"question": "Where did the director of film Delamu study?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are director of film Prarambha and director of film Shaft In Africa both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1836,
"need_tools_kwargs": true,
"question": "Are director of film Prarambha and director of film Shaft In Africa both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who's the dad of the sculptor who made The Sleeping Hermaphroditus?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Pietro Bernini",
"style": "rule"
}
|
{
"index": 1837,
"need_tools_kwargs": true,
"question": "Who's the dad of the sculptor who made The Sleeping Hermaphroditus?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Using a permutation of the numbers \\(10, 20, 30, 40\\) for \\(A, B, C, D\\), maximize the value of the expression \\(\\frac{1}{A - \\frac{1}{B + \\frac{1}{C - \\frac{1}{D}}}\\). After maximizing this expression, calculate the value of \\(A + 2B + 3C + 4D\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "300",
"style": "rule"
}
|
{
"index": 1838,
"need_tools_kwargs": true,
"question": "Using a permutation of the numbers \\(10, 20, 30, 40\\) for \\(A, B, C, D\\), maximize the value of the expression \\(\\frac{1}{A - \\frac{1}{B + \\frac{1}{C - \\frac{1}{D}}}\\). After maximizing this expression, calculate the value of \\(A + 2B + 3C + 4D\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 earlier, Brothers Of The West or Women Men Marry?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Women Men Marry",
"style": "rule"
}
|
{
"index": 1839,
"need_tools_kwargs": true,
"question": "Which film has the director died earlier, Brothers Of The West or Women Men Marry?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 directors of films The Singing Hotel and Seven Days (1925 Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1840,
"need_tools_kwargs": true,
"question": "Are both directors of films The Singing Hotel and Seven Days (1925 Film) from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film was released earlier, Ganashatru or La Cuna Vacía?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "La Cuna Vacía",
"style": "rule"
}
|
{
"index": 1841,
"need_tools_kwargs": true,
"question": "Which film was released earlier, Ganashatru or La Cuna Vacía?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let the function $f(x)= \\dfrac{(x+1)^{2}+ \\sqrt{2}x^{3}-3x^{-1}}{x^{2}+1}$ where $x \\in [-m,m]$ have a maximum value of $M$ and a minimum value of $N$. Then, $M+N=$ _____________",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1842,
"need_tools_kwargs": true,
"question": "Let the function $f(x)= \\dfrac{(x+1)^{2}+ \\sqrt{2}x^{3}-3x^{-1}}{x^{2}+1}$ where $x \\in [-m,m]$ have a maximum value of $M$ and a minimum value of $N$. Then, $M+N=$ _____________",
"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": "Given four distinct positive integers \\( a, b, c, \\) and \\( d \\) chosen from the set of integers 1 to 10 inclusive, determine the least possible value of the expression \\(\\frac{a}{b} + \\frac{c}{d}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{14}{45}",
"style": "rule"
}
|
{
"index": 1843,
"need_tools_kwargs": true,
"question": "Given four distinct positive integers \\( a, b, c, \\) and \\( d \\) chosen from the set of integers 1 to 10 inclusive, determine the least possible value of the expression \\(\\frac{a}{b} + \\frac{c}{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 want to attach a curtain to the rod. We can ensure equal distances easily if, after clipping the two outermost clips, there is a middle clip in the remaining portion. Moreover, we require that this condition holds for each further division, with a middle clip being placed after each subsequent division. How many clips can we attach to the curtain rod if we want to fix the curtain in this manner?",
"role": "user"
}
] |
math
|
{
"ground_truth": "524287",
"style": "rule"
}
|
{
"index": 1844,
"need_tools_kwargs": true,
"question": "We want to attach a curtain to the rod. We can ensure equal distances easily if, after clipping the two outermost clips, there is a middle clip in the remaining portion. Moreover, we require that this condition holds for each further division, with a middle clip being placed after each subsequent division. How many clips can we attach to the curtain rod if we want to fix the curtain in this manner?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Celtics player, born November 16, 1946, was named NBA Finals MVP in their 1975-76 season?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jo Jo White",
"style": "rule"
}
|
{
"index": 1845,
"need_tools_kwargs": true,
"question": "What Celtics player, born November 16, 1946, was named NBA Finals MVP in their 1975-76 season?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What were Terry Kath's famously ironic last words?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "What do you think I'm gonna do? Blow my brains out?",
"style": "rule"
}
|
{
"index": 1846,
"need_tools_kwargs": true,
"question": "What were Terry Kath's famously ironic last words?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rectangle $PQRS$ has dimensions $PQ=5$ and $QR=3$. A line $XY$ is constructed through $Q$ such that $XY$ is perpendicular to $PR$. Points $P$ and $S$ are located on $XQ$ and $YQ$, respectively. What is the length of $XY$?\nA) $\\frac{31\\sqrt{34}}{15}$\nB) $\\frac{32\\sqrt{34}}{12}$\nC) $\\frac{34\\sqrt{34}}{15}$\nD) $\\frac{36\\sqrt{34}}{15}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{34\\sqrt{34}}{15}",
"style": "rule"
}
|
{
"index": 1847,
"need_tools_kwargs": true,
"question": "A rectangle $PQRS$ has dimensions $PQ=5$ and $QR=3$. A line $XY$ is constructed through $Q$ such that $XY$ is perpendicular to $PR$. Points $P$ and $S$ are located on $XQ$ and $YQ$, respectively. What is the length of $XY$?\nA) $\\frac{31\\sqrt{34}}{15}$\nB) $\\frac{32\\sqrt{34}}{12}$\nC) $\\frac{34\\sqrt{34}}{15}$\nD) $\\frac{36\\sqrt{34}}{15}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given real numbers \\( x_1, x_2, \\ldots, x_{2021} \\) satisfy \\( \\sum_{i=1}^{2021} x_i^2 = 1 \\), find the maximum value of \\( \\sum_{i=1}^{2020} x_i^3 x_{i+1}^3 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{8}",
"style": "rule"
}
|
{
"index": 1848,
"need_tools_kwargs": true,
"question": "Given real numbers \\( x_1, x_2, \\ldots, x_{2021} \\) satisfy \\( \\sum_{i=1}^{2021} x_i^2 = 1 \\), find the maximum value of \\( \\sum_{i=1}^{2020} x_i^3 x_{i+1}^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": "When did Margaret Greville's husband die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "5 April 1908",
"style": "rule"
}
|
{
"index": 1849,
"need_tools_kwargs": true,
"question": "When did Margaret Greville's husband die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a triangle \\( ABC \\) with an area of 1, where points \\( D \\) and \\( E \\) are located such that the ratio \\( DO:OB = 1:3 \\) and the ratio \\( EO:OA = 4:5 \\). Calculate the area of triangle \\( DOE \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{11}{99}",
"style": "rule"
}
|
{
"index": 1850,
"need_tools_kwargs": true,
"question": "Given a triangle \\( ABC \\) with an area of 1, where points \\( D \\) and \\( E \\) are located such that the ratio \\( DO:OB = 1:3 \\) and the ratio \\( EO:OA = 4:5 \\). Calculate the area of triangle \\( DOE \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 miller took $\\frac{1}{10}$ of all the flour as payment for milling. How much flour did the peasant's grain yield if, after paying the miller, he had one sack left?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.11111111111111",
"style": "rule"
}
|
{
"index": 1851,
"need_tools_kwargs": true,
"question": "The miller took $\\frac{1}{10}$ of all the flour as payment for milling. How much flour did the peasant's grain yield if, after paying the miller, he had one sack left?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\tan(\\alpha + \\beta + \\frac{\\pi}{6}) = \\frac{1}{2}$ and $\\tan(\\beta - \\frac{\\pi}{6}) = -\\frac{1}{3}$, find the value of $\\tan(\\alpha + \\frac{\\pi}{3})$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 1852,
"need_tools_kwargs": true,
"question": "Given $\\tan(\\alpha + \\beta + \\frac{\\pi}{6}) = \\frac{1}{2}$ and $\\tan(\\beta - \\frac{\\pi}{6}) = -\\frac{1}{3}$, find the value of $\\tan(\\alpha + \\frac{\\pi}{3})$.",
"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": "A triangle is formed with edges along the line $y=\\frac{2}{3}x+5$, the $x$-axis, and the line $x=k$. If the area of the triangle is less than $20$, find the sum of all possible integral values of $k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-120",
"style": "rule"
}
|
{
"index": 1853,
"need_tools_kwargs": true,
"question": "A triangle is formed with edges along the line $y=\\frac{2}{3}x+5$, the $x$-axis, and the line $x=k$. If the area of the triangle is less than $20$, find the sum of all possible integral values of $k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What type of plant is represented in the species of both the Ficus genus and Calceolaria genus?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "shrubs",
"style": "rule"
}
|
{
"index": 1854,
"need_tools_kwargs": true,
"question": "What type of plant is represented in the species of both the Ficus genus and Calceolaria genus?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2018, what Chilean footballer left Arsenal to join the team that The Saints beat in 1976 to win the FA Cup?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alexis Sánchez",
"style": "rule"
}
|
{
"index": 1855,
"need_tools_kwargs": true,
"question": "In 2018, what Chilean footballer left Arsenal to join the team that The Saints beat in 1976 to win the FA Cup?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was Princess Florestine Of Monaco's father born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 October 1785",
"style": "rule"
}
|
{
"index": 1856,
"need_tools_kwargs": true,
"question": "When was Princess Florestine Of Monaco's father born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ and $b$ be real numbers, and let $r, s$, and $t$ be the roots of $f(x)=x^{3}+a x^{2}+b x-1$. Also, $g(x)=x^{3}+m x^{2}+n x+p$ has roots $r^{2}, s^{2}$, and $t^{2}$. If $g(-1)=-5$, find the maximum possible value of $b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1+\\sqrt{5}",
"style": "rule"
}
|
{
"index": 1857,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be real numbers, and let $r, s$, and $t$ be the roots of $f(x)=x^{3}+a x^{2}+b x-1$. Also, $g(x)=x^{3}+m x^{2}+n x+p$ has roots $r^{2}, s^{2}$, and $t^{2}$. If $g(-1)=-5$, find the maximum possible value 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": "The \"Connally Building\" is adjacent to a shopping district opened in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1969",
"style": "rule"
}
|
{
"index": 1858,
"need_tools_kwargs": true,
"question": "The \"Connally Building\" is adjacent to a shopping district opened in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the South Korean singer-songwriter who is a member of , 2PM born ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "January 25, 1990",
"style": "rule"
}
|
{
"index": 1859,
"need_tools_kwargs": true,
"question": "When was the South Korean singer-songwriter who is a member of , 2PM 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": "\nGiven nine non-negative real numbers \\(a_{1}, a_{2}, \\cdots, a_{9}\\) whose sum is 1, define\n$$\n\\begin{array}{l}\nS=\\min \\left\\{a_{1}, a_{2}\\right\\}+2 \\min \\left\\{a_{2}, a_{3}\\right\\}+\\cdots+8 \\min \\left\\{a_{8}, a_{9}\\right\\}+9 \\min \\left\\{a_{9}, a_{1}\\right\\}, \\\\\nT=\\max \\left\\{a_{1}, a_{2}\\right\\}+2 \\max \\left\\{a_{2}, a_{3}\\right\\}+\\cdots+8 \\max \\left\\{a_{8}, a_{9}\\right\\}+9 \\max \\left\\{a_{9}, a_{1}\\right\\},\n\\end{array}\n$$\n\nwhere \\(\\min \\{x, y\\}\\) denotes the smaller of \\(x\\) and \\(y\\), and \\(\\max \\{x, y\\}\\) denotes the larger of \\(x\\) and \\(y\\). Let \\(S_{0}\\) be the maximum possible value of \\(S\\). When \\(S=S_{0}\\), find all possible values of \\(T\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left[\\frac{36}{5}, \\frac{31}{4}\\right]",
"style": "rule"
}
|
{
"index": 1860,
"need_tools_kwargs": true,
"question": "\nGiven nine non-negative real numbers \\(a_{1}, a_{2}, \\cdots, a_{9}\\) whose sum is 1, define\n$$\n\\begin{array}{l}\nS=\\min \\left\\{a_{1}, a_{2}\\right\\}+2 \\min \\left\\{a_{2}, a_{3}\\right\\}+\\cdots+8 \\min \\left\\{a_{8}, a_{9}\\right\\}+9 \\min \\left\\{a_{9}, a_{1}\\right\\}, \\\\\nT=\\max \\left\\{a_{1}, a_{2}\\right\\}+2 \\max \\left\\{a_{2}, a_{3}\\right\\}+\\cdots+8 \\max \\left\\{a_{8}, a_{9}\\right\\}+9 \\max \\left\\{a_{9}, a_{1}\\right\\},\n\\end{array}\n$$\n\nwhere \\(\\min \\{x, y\\}\\) denotes the smaller of \\(x\\) and \\(y\\), and \\(\\max \\{x, y\\}\\) denotes the larger of \\(x\\) and \\(y\\). Let \\(S_{0}\\) be the maximum possible value of \\(S\\). When \\(S=S_{0}\\), find all possible values of \\(T\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of this Indian businesswoman, former model turned and Indian television actress, starring in Meethi Choori No. 1?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gauri Pradhan Tejwani",
"style": "rule"
}
|
{
"index": 1861,
"need_tools_kwargs": true,
"question": "What is the name of this Indian businesswoman, former model turned and Indian television actress, starring in Meethi Choori No. 1?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two types of anti-inflammatory drugs must be selected from $X_{1}$, $X_{2}$, $X_{3}$, $X_{4}$, $X_{5}$, with the restriction that $X_{1}$ and $X_{2}$ must be used together, and one type of antipyretic drug must be selected from $T_{1}$, $T_{2}$, $T_{3}$, $T_{4}$, with the further restriction that $X_{3}$ and $T_{4}$ cannot be used at the same time. Calculate the number of different test schemes.",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 1862,
"need_tools_kwargs": true,
"question": "Two types of anti-inflammatory drugs must be selected from $X_{1}$, $X_{2}$, $X_{3}$, $X_{4}$, $X_{5}$, with the restriction that $X_{1}$ and $X_{2}$ must be used together, and one type of antipyretic drug must be selected from $T_{1}$, $T_{2}$, $T_{3}$, $T_{4}$, with the further restriction that $X_{3}$ and $T_{4}$ cannot be used at the same time. Calculate the number of different test schemes.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 five distinct positive numbers. They can be divided into two groups so that the sums of the numbers in these groups are equal. In how many ways can this be done?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 1863,
"need_tools_kwargs": true,
"question": "Given five distinct positive numbers. They can be divided into two groups so that the sums of the numbers in these groups are equal. In how many ways can this be done?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 picky princess is choosing a groom. One hundred grooms are courting her, each better than the last, and no two are equal. However, they propose in a random order. We will call a groom outstanding if the princess likes him more than all who have proposed before him. The first groom is also considered outstanding since no one came before him.\n\nWe will say that an outstanding groom and all those who propose after him but before the next outstanding groom (if there is one) form a sequence of grooms. Find the expected number of grooms in the first such sequence.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5.187377517639621",
"style": "rule"
}
|
{
"index": 1864,
"need_tools_kwargs": true,
"question": "A picky princess is choosing a groom. One hundred grooms are courting her, each better than the last, and no two are equal. However, they propose in a random order. We will call a groom outstanding if the princess likes him more than all who have proposed before him. The first groom is also considered outstanding since no one came before him.\n\nWe will say that an outstanding groom and all those who propose after him but before the next outstanding groom (if there is one) form a sequence of grooms. Find the expected number of grooms in the first such sequence.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the spouse of the director of film Just Once A Great Lady (1957 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hilde Volk",
"style": "rule"
}
|
{
"index": 1865,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Just Once A Great Lady (1957 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did Prashanthini's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "20 February 2011",
"style": "rule"
}
|
{
"index": 1866,
"need_tools_kwargs": true,
"question": "When did Prashanthini's father die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film Uptown Girls?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "New York",
"style": "rule"
}
|
{
"index": 1867,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Uptown Girls?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Mirza Jahangir's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 September 1837",
"style": "rule"
}
|
{
"index": 1868,
"need_tools_kwargs": true,
"question": "What is the date of death of Mirza Jahangir's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Rosie Fellner portrayed Joei Harkness with an English actor who passed away in which year ? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2017",
"style": "rule"
}
|
{
"index": 1869,
"need_tools_kwargs": true,
"question": "Rosie Fellner portrayed Joei Harkness with an English actor who passed away in which year ? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Kim, Republic Of Bashkortostan and Sheykh Isa, West Azerbaijan located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1870,
"need_tools_kwargs": true,
"question": "Are both Kim, Republic Of Bashkortostan and Sheykh Isa, West Azerbaijan located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of Jordan Ladd's mother?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 12, 1951",
"style": "rule"
}
|
{
"index": 1871,
"need_tools_kwargs": true,
"question": "What is the date of birth of Jordan Ladd's mother?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was found, in the Cango Valley along with Circular stone hearths and calcified dung remains of domesticated sheep, that is a cutting tool shaped somewhat like an axe that dates back to the stone age?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The adze",
"style": "rule"
}
|
{
"index": 1872,
"need_tools_kwargs": true,
"question": "What was found, in the Cango Valley along with Circular stone hearths and calcified dung remains of domesticated sheep, that is a cutting tool shaped somewhat like an axe that dates back to the stone age?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Prince Henry, Duke Of Cumberland And Strathearn's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "8 February 1772",
"style": "rule"
}
|
{
"index": 1873,
"need_tools_kwargs": true,
"question": "When did Prince Henry, Duke Of Cumberland And Strathearn's mother die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what year was the prison, in which the 1999 American fantasy crime drama film written and directed by Frank Darabont, opened?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1898",
"style": "rule"
}
|
{
"index": 1874,
"need_tools_kwargs": true,
"question": "In what year was the prison, in which the 1999 American fantasy crime drama film written and directed by Frank Darabont, opened?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born earlier, Her Third or The Brotherhood Of Satan?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Brotherhood Of Satan",
"style": "rule"
}
|
{
"index": 1875,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, Her Third or The Brotherhood Of Satan?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, Manhattan Merry-Go-Round (Film) or The Atomic Fireman?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Atomic Fireman",
"style": "rule"
}
|
{
"index": 1876,
"need_tools_kwargs": true,
"question": "Which film has the director died later, Manhattan Merry-Go-Round (Film) or The Atomic Fireman?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Triangle $ABC$ satisfies $AB=104$ , $BC=112$ , and $CA=120$ . Let $\\omega$ and $\\omega_A$ denote the incircle and $A$ -excircle of $\\triangle ABC$ , respectively. There exists a unique circle $\\Omega$ passing through $A$ which is internally tangent to $\\omega$ and externally tangent to $\\omega_A$ . Compute the radius of $\\Omega$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "49",
"style": "rule"
}
|
{
"index": 1877,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ satisfies $AB=104$ , $BC=112$ , and $CA=120$ . Let $\\omega$ and $\\omega_A$ denote the incircle and $A$ -excircle of $\\triangle ABC$ , respectively. There exists a unique circle $\\Omega$ passing through $A$ which is internally tangent to $\\omega$ and externally tangent to $\\omega_A$ . Compute the radius of $\\Omega$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "在正四棱锥 $P-A B C D$ 中, $M, N$ 分别为 $P A, P B$ 的中点, 若侧面与底面所成二面角的正切值为 $\\sqrt{2}$ ，求异面直线 $D M$ 与 $A N$ 所成角的余弦值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 1878,
"need_tools_kwargs": true,
"question": "在正四棱锥 $P-A B C D$ 中, $M, N$ 分别为 $P A, P B$ 的中点, 若侧面与底面所成二面角的正切值为 $\\sqrt{2}$ ，求异面直线 $D M$ 与 $A N$ 所成角的余弦值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Masha has \\( x \\) rubles, Petya has \\( y \\) rubles, then:\n\n\\[ n(x-3) = y + 3 \\]\n\\[ x + n = 3(y - n) \\]\n\nExpress \\( x \\) from the second equation and substitute into the first:\n\n\\[ n(3y - 4n - 3) = y + 3, \\]\n\n\\[ 3ny - y = 4n^2 + 3n + 3, \\]\n\n\\[ y = \\frac{4n^2 + 3n + 3}{3n - 1} \\]\n\nIn order for \\( y \\) to be an integer, \\( (4n^2 + 3n + 3) \\) must be divisible by \\( 3n - 1 \\):\n\n\\[ \\frac{4n^2 + 3n + 3}{3n - 1} \\]\n\nAfter performing the division:\n\n\\[ \\frac{13n + 9}{3n - 1} \\]\n\nHence:\n\n\\[ \\frac{40}{3n - 1} \\]\n\nThe divisors of 40 satisfying this equation are \\( n = 1, 2, 3, 7 \\).\n\nWe check if \\( x \\) and \\( y \\) remain natural numbers for these values of \\( n \\).\n\n- For \\( n = 1 \\), \\( y = 5 \\), \\( x = 11 \\)\n- For \\( n = 2 \\), \\( y = 5 \\), \\( x = 7 \\)\n- For \\( n = 3 \\), \\( y = 6 \\), \\( x = 6 \\)\n- For \\( n = 7 \\), \\( y = 11 \\), \\( x = 5 \\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "(11, 5), (7, 5), (6, 6), (5, 11)",
"style": "rule"
}
|
{
"index": 1879,
"need_tools_kwargs": true,
"question": "Masha has \\( x \\) rubles, Petya has \\( y \\) rubles, then:\n\n\\[ n(x-3) = y + 3 \\]\n\\[ x + n = 3(y - n) \\]\n\nExpress \\( x \\) from the second equation and substitute into the first:\n\n\\[ n(3y - 4n - 3) = y + 3, \\]\n\n\\[ 3ny - y = 4n^2 + 3n + 3, \\]\n\n\\[ y = \\frac{4n^2 + 3n + 3}{3n - 1} \\]\n\nIn order for \\( y \\) to be an integer, \\( (4n^2 + 3n + 3) \\) must be divisible by \\( 3n - 1 \\):\n\n\\[ \\frac{4n^2 + 3n + 3}{3n - 1} \\]\n\nAfter performing the division:\n\n\\[ \\frac{13n + 9}{3n - 1} \\]\n\nHence:\n\n\\[ \\frac{40}{3n - 1} \\]\n\nThe divisors of 40 satisfying this equation are \\( n = 1, 2, 3, 7 \\).\n\nWe check if \\( x \\) and \\( y \\) remain natural numbers for these values of \\( n \\).\n\n- For \\( n = 1 \\), \\( y = 5 \\), \\( x = 11 \\)\n- For \\( n = 2 \\), \\( y = 5 \\), \\( x = 7 \\)\n- For \\( n = 3 \\), \\( y = 6 \\), \\( x = 6 \\)\n- For \\( n = 7 \\), \\( y = 11 \\), \\( x = 5 \\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the father of the composer of film Aayanaki Iddaru?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Saluri Rajeswara Rao",
"style": "rule"
}
|
{
"index": 1880,
"need_tools_kwargs": true,
"question": "Who is the father of the composer of film Aayanaki Iddaru?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 street crosses the public square named Tarntanyagga?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Grote Street",
"style": "rule"
}
|
{
"index": 1881,
"need_tools_kwargs": true,
"question": "Which street crosses the public square named Tarntanyagga?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film Little Old New York (1923 Film) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Canadian",
"style": "rule"
}
|
{
"index": 1882,
"need_tools_kwargs": true,
"question": "Which country the director of film Little Old New York (1923 Film) is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the director of film Henry Vi, Part 1 (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1966",
"style": "rule"
}
|
{
"index": 1883,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Henry Vi, Part 1 (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": "Q1:What is another name for THE Three Caesars' Alliance. Q2:Austria-Hungary and Russia and Germany were called what when they became a Alliance?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "League of the Three Emperors",
"style": "rule"
}
|
{
"index": 1884,
"need_tools_kwargs": true,
"question": "Q1:What is another name for THE Three Caesars' Alliance. Q2:Austria-Hungary and Russia and Germany were called what when they became a Alliance?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Manuchehrabad, Shahreza and Anbar Tappeh, Golestan both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 1885,
"need_tools_kwargs": true,
"question": "Are Manuchehrabad, Shahreza and Anbar Tappeh, Golestan 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": "Clara and Dina were born on the same date in different years, $n$ years apart. Last year, Clara was three times as old as Dina. This year, Clara's age is one more than the cube of Dina's age. Determine the value of $n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 1886,
"need_tools_kwargs": true,
"question": "Clara and Dina were born on the same date in different years, $n$ years apart. Last year, Clara was three times as old as Dina. This year, Clara's age is one more than the cube of Dina's age. Determine the value of $n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Arrange $\\frac{131}{250}, \\frac{21}{40}, 0.5 \\dot{2} \\dot{3}, 0.52 \\dot{3}, 0.5 \\dot{2}$ in ascending order. The third number is $\\qquad$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.5232323",
"style": "rule"
}
|
{
"index": 1887,
"need_tools_kwargs": true,
"question": "Arrange $\\frac{131}{250}, \\frac{21}{40}, 0.5 \\dot{2} \\dot{3}, 0.52 \\dot{3}, 0.5 \\dot{2}$ in ascending order. The third number is $\\qquad$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What other film, beside the American neo-noir dystopian science fiction action film directed by Alex Proyas was considered a blockbuster in 2004?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ocean's Twelve",
"style": "rule"
}
|
{
"index": 1888,
"need_tools_kwargs": true,
"question": "What other film, beside the American neo-noir dystopian science fiction action film directed by Alex Proyas was considered a blockbuster in 2004?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\), point \\( D \\) is chosen on side \\( AC \\) such that \\( 2AD = DC \\). Let \\( E \\) be the foot of the perpendicular dropped from point \\( D \\) to segment \\( BC \\), and let \\( F \\) be the intersection point of segments \\( BD \\) and \\( AE \\). Given that triangle \\( BEF \\) is equilateral, determine the measure of angle \\( ADB \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "90",
"style": "rule"
}
|
{
"index": 1889,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), point \\( D \\) is chosen on side \\( AC \\) such that \\( 2AD = DC \\). Let \\( E \\) be the foot of the perpendicular dropped from point \\( D \\) to segment \\( BC \\), and let \\( F \\) be the intersection point of segments \\( BD \\) and \\( AE \\). Given that triangle \\( BEF \\) is equilateral, determine the measure of angle \\( ADB \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 For Her Sake (1930 Film) and If I Were Single share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1890,
"need_tools_kwargs": true,
"question": "Do both directors of films For Her Sake (1930 Film) and If I Were Single 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": "Who is the father of the director of film Buckaroo Sheriff Of Texas?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Francis Ford",
"style": "rule"
}
|
{
"index": 1891,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film Buckaroo Sheriff Of Texas?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ship was named for the fifth Chief Justice of the Supreme Court?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "USCGC \"Taney\"",
"style": "rule"
}
|
{
"index": 1892,
"need_tools_kwargs": true,
"question": "Which ship was named for the fifth Chief Justice of the Supreme Court?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Place all terms of the arithmetic sequence \\(2, 6, 10, 14, \\cdots, 2006\\) closely together to form a large number \\(A = 261014 \\cdots 2006\\). Find the remainder when \\(A\\) is divided by 9.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 1893,
"need_tools_kwargs": true,
"question": "Place all terms of the arithmetic sequence \\(2, 6, 10, 14, \\cdots, 2006\\) closely together to form a large number \\(A = 261014 \\cdots 2006\\). Find the remainder when \\(A\\) is divided by 9.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ be a real number, for the function $f(x)={x}^{2}-2x+{a}^{2}+3a-3$ and the parabola $C$: $({y}^{2}=4x)$, there are two propositions: $p$: the minimum value of the function $f(x)$ is less than $0$; $q$: the distance from the moving point $M(\\dfrac{{a}^{2}}{4},a)$ on the parabola $({y}^{2}=4x)$ to the focus $F$ is greater than $2$. It is known that \"$\\neg p$\" and \"$p \\wedge q$\" are both false propositions. Find the range of values of the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "[-2,1)",
"style": "rule"
}
|
{
"index": 1894,
"need_tools_kwargs": true,
"question": "Let $a$ be a real number, for the function $f(x)={x}^{2}-2x+{a}^{2}+3a-3$ and the parabola $C$: $({y}^{2}=4x)$, there are two propositions: $p$: the minimum value of the function $f(x)$ is less than $0$; $q$: the distance from the moving point $M(\\dfrac{{a}^{2}}{4},a)$ on the parabola $({y}^{2}=4x)$ to the focus $F$ is greater than $2$. It is known that \"$\\neg p$\" and \"$p \\wedge q$\" are both false propositions. Find the range of values of the real number $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What character in due \"Due South\" did the star of \"Slings and Arrows\" play?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Constable Benton Fraser",
"style": "rule"
}
|
{
"index": 1895,
"need_tools_kwargs": true,
"question": "What character in due \"Due South\" did the star of \"Slings and Arrows\" play?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the Wire Fox Terrier and West Siberian Laika dog breeds?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 1896,
"need_tools_kwargs": true,
"question": "Are both the Wire Fox Terrier and West Siberian Laika dog breeds?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the subtraction operation represented by the expression \\(\\frac{a 9}{18 b 8}\\), determine the sum of the digits \\(a\\) and \\(b\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 1897,
"need_tools_kwargs": true,
"question": "In the subtraction operation represented by the expression \\(\\frac{a 9}{18 b 8}\\), determine the sum of the digits \\(a\\) and \\(b\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a convex quadrilateral \\(WXYZ\\) where the lengths of the sides are given as \\(WZ = 9\\), \\(XY = 5\\), \\(YZ = 12\\), and \\(YW = 15\\). Additionally, it is known that \\(\\angle WXY = 90^{\\circ}\\). Calculate the area of the quadrilateral \\(WXYZ\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "76.5",
"style": "rule"
}
|
{
"index": 1898,
"need_tools_kwargs": true,
"question": "Consider a convex quadrilateral \\(WXYZ\\) where the lengths of the sides are given as \\(WZ = 9\\), \\(XY = 5\\), \\(YZ = 12\\), and \\(YW = 15\\). Additionally, it is known that \\(\\angle WXY = 90^{\\circ}\\). Calculate the area of the quadrilateral \\(WXYZ\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 seek the true statement. There are one hundred statements written in a notebook:\n\n1) There is exactly one false statement in this notebook.\n2) There are exactly two false statements in this notebook.\n...\n100) There are exactly one hundred false statements in this notebook.\n\nWhich one of these statements is true, given that only one is true?",
"role": "user"
}
] |
math
|
{
"ground_truth": "99",
"style": "rule"
}
|
{
"index": 1899,
"need_tools_kwargs": true,
"question": "We seek the true statement. There are one hundred statements written in a notebook:\n\n1) There is exactly one false statement in this notebook.\n2) There are exactly two false statements in this notebook.\n...\n100) There are exactly one hundred false statements in this notebook.\n\nWhich one of these statements is true, given that only one is true?",
"split": "train"
}
| null |
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