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": "Find all triples of positive integers $(x,y,z)$ that satisfy the equation \n\n$$\\begin{align*} 2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 \\end{align*}$$\n\nPlease provide the sum of all elements in one such triple.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 700,
"need_tools_kwargs": true,
"question": "Find all triples of positive integers $(x,y,z)$ that satisfy the equation \n\n$$\\begin{align*} 2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 \\end{align*}$$\n\nPlease provide the sum of all elements in one such triple.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 full name of Vic Clapham's great-grandson who completed the Comrades Marathon from 2012 to 2015?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Antony Clapham",
"style": "rule"
}
|
{
"index": 701,
"need_tools_kwargs": true,
"question": "What is the full name of Vic Clapham's great-grandson who completed the Comrades Marathon from 2012 to 2015?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 measure of an orthogonal trihedral angle? What is the sum of the measures of polyhedral angles that share a common vertex, have no common interior points, and together cover the entire space?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4\\pi",
"style": "rule"
}
|
{
"index": 702,
"need_tools_kwargs": true,
"question": "What is the measure of an orthogonal trihedral angle? What is the sum of the measures of polyhedral angles that share a common vertex, have no common interior points, and together cover the entire space?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song Some People (Cliff Richard Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "14 October 1940",
"style": "rule"
}
|
{
"index": 703,
"need_tools_kwargs": true,
"question": "What is the date of birth of the performer of song Some People (Cliff Richard Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A ring X of diameter 16 inches is placed inside another ring Y of diameter of 18 inches. How much fraction of the ring X surface is not covered by the ring Y?",
"role": "user"
}
] |
math
|
{
"ground_truth": "17/64",
"style": "rule"
}
|
{
"index": 704,
"need_tools_kwargs": true,
"question": "A ring X of diameter 16 inches is placed inside another ring Y of diameter of 18 inches. How much fraction of the ring X surface is not covered by the ring Y?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\"Fashion Killa\" is a song featured on an album released on what day ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "January 15, 2013",
"style": "rule"
}
|
{
"index": 705,
"need_tools_kwargs": true,
"question": "\"Fashion Killa\" is a song featured on an album released on what day ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the partial and total increments of the function \\( z = x^{2} y \\) at the initial values \\( x = 1, y = 2 \\), given \\( \\Delta x = 0.1 \\) and \\( \\Delta y = -0.2 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.42, -0.2, 0.178",
"style": "rule"
}
|
{
"index": 706,
"need_tools_kwargs": true,
"question": "Find the partial and total increments of the function \\( z = x^{2} y \\) at the initial values \\( x = 1, y = 2 \\), given \\( \\Delta x = 0.1 \\) and \\( \\Delta y = -0.2 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that the right focus of the hyperbola $\\frac{x^{2}}{m} - \\frac{y^{2}}{5} = 1$ coincides with the focus of the parabola $y^{2} = 12x$, determine the equation of the asymptotes of this hyperbola. The options are:\nA: $y = \\pm \\frac{\\sqrt{5}}{2}x$\nB: $y = \\pm \\frac{2\\sqrt{5}}{5}x$\nC: $y = \\pm \\frac{\\sqrt{5}}{3}x$\nD: $y = \\pm \\frac{3\\sqrt{5}}{5}x$",
"role": "user"
}
] |
math
|
{
"ground_truth": "y = \\pm \\frac{\\sqrt{5}}{2}x",
"style": "rule"
}
|
{
"index": 707,
"need_tools_kwargs": true,
"question": "Given that the right focus of the hyperbola $\\frac{x^{2}}{m} - \\frac{y^{2}}{5} = 1$ coincides with the focus of the parabola $y^{2} = 12x$, determine the equation of the asymptotes of this hyperbola. The options are:\nA: $y = \\pm \\frac{\\sqrt{5}}{2}x$\nB: $y = \\pm \\frac{2\\sqrt{5}}{5}x$\nC: $y = \\pm \\frac{\\sqrt{5}}{3}x$\nD: $y = \\pm \\frac{3\\sqrt{5}}{5}x$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the composer of film Meendum Kokila 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2 June 1943",
"style": "rule"
}
|
{
"index": 708,
"need_tools_kwargs": true,
"question": "When is the composer of film Meendum Kokila 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Peter \"Finn\" Wittrock, Jr. made his film debut in a Disney Channel Original Movie that drew how many viewers for its premiere?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6.1 million",
"style": "rule"
}
|
{
"index": 709,
"need_tools_kwargs": true,
"question": "Peter \"Finn\" Wittrock, Jr. made his film debut in a Disney Channel Original Movie that drew how many viewers for its premiere?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films: Daphnis And Chloe (Film) and Hullabaloo Over Georgie And Bonnie'S Pictures have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 710,
"need_tools_kwargs": true,
"question": "Do both films: Daphnis And Chloe (Film) and Hullabaloo Over Georgie And Bonnie'S Pictures have the directors 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": "How long, in miles, is the route of the National Cycle Network that passes through Conyer?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1695 mi",
"style": "rule"
}
|
{
"index": 711,
"need_tools_kwargs": true,
"question": "How long, in miles, is the route of the National Cycle Network that passes through Conyer?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the cyclic quadrilateral with side lengths $1$, $4$, $8$, $7$ in that order. What is its circumdiameter? Let the answer be of the form $a\\sqrt{b}+c$, where $b$ is square-free. Find $a+b+c$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "66",
"style": "rule"
}
|
{
"index": 712,
"need_tools_kwargs": true,
"question": "Consider the cyclic quadrilateral with side lengths $1$, $4$, $8$, $7$ in that order. What is its circumdiameter? Let the answer be of the form $a\\sqrt{b}+c$, where $b$ is square-free. Find $a+b+c$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of films The Raging Tide and Being Respectable both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 713,
"need_tools_kwargs": true,
"question": "Are the directors of films The Raging Tide and Being Respectable 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": "Between what river and the Atlantic Ocean does Carl Brutananadilewski live?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Delaware River",
"style": "rule"
}
|
{
"index": 714,
"need_tools_kwargs": true,
"question": "Between what river and the Atlantic Ocean does Carl Brutananadilewski live?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Hanakapiai Beach is located on the coast on which oldest inhabited Hawaiian island?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kauaʻ i",
"style": "rule"
}
|
{
"index": 715,
"need_tools_kwargs": true,
"question": "Hanakapiai Beach is located on the coast on which oldest inhabited Hawaiian island?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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^2 - 2x + 3 \\), the maximum and minimum values on the interval \\([0, a]\\) are 3 and 2, respectively. Determine the possible range of the real number \\( a \\).\n\nA. \\((0,1]\\) \nB. \\((0,2]\\) \nC. \\((1,2]\\) \nD. \\([1,2]\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "[1, 2]",
"style": "rule"
}
|
{
"index": 716,
"need_tools_kwargs": true,
"question": "Given the function \\( f(x) = x^2 - 2x + 3 \\), the maximum and minimum values on the interval \\([0, a]\\) are 3 and 2, respectively. Determine the possible range of the real number \\( a \\).\n\nA. \\((0,1]\\) \nB. \\((0,2]\\) \nC. \\((1,2]\\) \nD. \\([1,2]\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of films Score (1974 Film) and Vathiyar both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 717,
"need_tools_kwargs": true,
"question": "Are the directors of films Score (1974 Film) and Vathiyar 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": "What is the date of death of Kang Keqing's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6 July 1976",
"style": "rule"
}
|
{
"index": 718,
"need_tools_kwargs": true,
"question": "What is the date of death of Kang Keqing's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Earlsdon is a suburb and electoral ward of Coventry, England, it's the birthplace of aviation pioneer Frank Whittle, was an engineer air officer, of which organization?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "English Royal Air Force (RAF)",
"style": "rule"
}
|
{
"index": 719,
"need_tools_kwargs": true,
"question": "Earlsdon is a suburb and electoral ward of Coventry, England, it's the birthplace of aviation pioneer Frank Whittle, was an engineer air officer, of which organization?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Henri Caïn's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6 August 1894",
"style": "rule"
}
|
{
"index": 720,
"need_tools_kwargs": true,
"question": "What is the date of death of Henri Caïn'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": "Given three angles \\(\\alpha^{\\circ}\\), \\(\\beta^{\\circ}\\), and \\(\\gamma^{\\circ}\\) marked on squared paper, determine the value of \\(\\alpha + \\beta + \\gamma\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "90",
"style": "rule"
}
|
{
"index": 721,
"need_tools_kwargs": true,
"question": "Given three angles \\(\\alpha^{\\circ}\\), \\(\\beta^{\\circ}\\), and \\(\\gamma^{\\circ}\\) marked on squared paper, determine the value of \\(\\alpha + \\beta + \\gamma\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 worlds largest cricket stadium where John Wayne Hasting played?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Melbourne Cricket Ground",
"style": "rule"
}
|
{
"index": 722,
"need_tools_kwargs": true,
"question": "What was the name of the worlds largest cricket stadium where John Wayne Hasting played?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=x^{4}+a x^{3}+b x^{2}+c x+d$ be a polynomial whose roots are all negative integers. If $a+b+c+d=2009$, find $d$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "528",
"style": "rule"
}
|
{
"index": 723,
"need_tools_kwargs": true,
"question": "Let $f(x)=x^{4}+a x^{3}+b x^{2}+c x+d$ be a polynomial whose roots are all negative integers. If $a+b+c+d=2009$, find $d$.",
"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": "Point \\(P\\) is located inside a square \\(ABCD\\) with a side length of \\(10\\). The circumcenters of triangles \\(PAB\\), \\(PBC\\), \\(PCD\\), and \\(PDA\\) are denoted as \\(O_1\\), \\(O_2\\), \\(O_3\\), and \\(O_4\\) respectively. Given that the sum of the distances from point \\(P\\) to the vertices of the square is \\(PA + PB + PC + PD = 23\\sqrt{2}\\) and the area of quadrilateral \\(O_1O_2O_3O_4\\) is \\(50\\), determine the second largest length among \\(O_1O_2\\), \\(O_2O_3\\), \\(O_3O_4\\), and \\(O_4O_1\\). Express this length in the form \\(\\sqrt{\\frac{a}{b}}\\), where \\(a\\) and \\(b\\) are relatively prime positive integers. Finally, compute \\(100a + b\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5001",
"style": "rule"
}
|
{
"index": 724,
"need_tools_kwargs": true,
"question": "Point \\(P\\) is located inside a square \\(ABCD\\) with a side length of \\(10\\). The circumcenters of triangles \\(PAB\\), \\(PBC\\), \\(PCD\\), and \\(PDA\\) are denoted as \\(O_1\\), \\(O_2\\), \\(O_3\\), and \\(O_4\\) respectively. Given that the sum of the distances from point \\(P\\) to the vertices of the square is \\(PA + PB + PC + PD = 23\\sqrt{2}\\) and the area of quadrilateral \\(O_1O_2O_3O_4\\) is \\(50\\), determine the second largest length among \\(O_1O_2\\), \\(O_2O_3\\), \\(O_3O_4\\), and \\(O_4O_1\\). Express this length in the form \\(\\sqrt{\\frac{a}{b}}\\), where \\(a\\) and \\(b\\) are relatively prime positive integers. Finally, compute \\(100a + 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": "Who developed a first-person shooter sports video game for the PlayStation 4 console and its virtual reality head-mounted display known by the codename Project Morpheus during development?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Guerrilla Cambridge",
"style": "rule"
}
|
{
"index": 725,
"need_tools_kwargs": true,
"question": "Who developed a first-person shooter sports video game for the PlayStation 4 console and its virtual reality head-mounted display known by the codename Project Morpheus during development?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 In The Whirl Of Life?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Eva May",
"style": "rule"
}
|
{
"index": 726,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film In The Whirl Of Life?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 nickname for this United States drag racer who drove Brutus?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jungle Jim",
"style": "rule"
}
|
{
"index": 727,
"need_tools_kwargs": true,
"question": "What is the nickname for this United States drag racer who drove Brutus?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Petya wrote 9 consecutive natural numbers on the board. Kolya calculated their sum and got the answer 43040102. It turned out that he made a mistake only in the first digit of the sum. What should be the first digit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 728,
"need_tools_kwargs": true,
"question": "Petya wrote 9 consecutive natural numbers on the board. Kolya calculated their sum and got the answer 43040102. It turned out that he made a mistake only in the first digit of the sum. What should be the first digit?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 isosceles triangle \\( ABC \\) with \\( AB = BC \\) and base \\( AC \\), point \\( M \\) is marked on \\( AC \\). It is known that \\( AM = 7 \\), \\( MB = 3 \\), and \\(\\angle BMC = 60^\\circ \\). Find the length of segment \\( AC \\).\n\n![](",
"role": "user"
}
] |
math
|
{
"ground_truth": "17",
"style": "rule"
}
|
{
"index": 729,
"need_tools_kwargs": true,
"question": "In isosceles triangle \\( ABC \\) with \\( AB = BC \\) and base \\( AC \\), point \\( M \\) is marked on \\( AC \\). It is known that \\( AM = 7 \\), \\( MB = 3 \\), and \\(\\angle BMC = 60^\\circ \\). Find the length of segment \\( AC \\).\n\n![](",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What senator, born in 1933, was elected for a third term in the 1988 election? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Paul Sarbanes",
"style": "rule"
}
|
{
"index": 730,
"need_tools_kwargs": true,
"question": "What senator, born in 1933, was elected for a third term in the 1988 election? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dan has $5. He bought a chocolate for $3 and a candy bar for $7. How much more money did he spend to buy the candy bar than he did to buy the chocolate?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$4",
"style": "rule"
}
|
{
"index": 731,
"need_tools_kwargs": true,
"question": "Dan has $5. He bought a chocolate for $3 and a candy bar for $7. How much more money did he spend to buy the candy bar than he did to buy the chocolate?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 publisher of Legacy of the Ancients founded?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 28, 1982",
"style": "rule"
}
|
{
"index": 732,
"need_tools_kwargs": true,
"question": "When was the publisher of Legacy of the Ancients founded?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rectangle \\(ABCD\\) with a length of \\(10\\) feet and a width of \\(6\\) feet, a circle is drawn through vertices \\(A\\) and \\(B\\) and is tangent to side \\(CD\\). Determine the radius of the circle, in feet.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 733,
"need_tools_kwargs": true,
"question": "Given a rectangle \\(ABCD\\) with a length of \\(10\\) feet and a width of \\(6\\) feet, a circle is drawn through vertices \\(A\\) and \\(B\\) and is tangent to side \\(CD\\). Determine the radius of the circle, in feet.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Season 15, Episode 1 of Law & Order: Special Victims Unit, on what New York island did William Lewis hide Olivia?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Long Island",
"style": "rule"
}
|
{
"index": 734,
"need_tools_kwargs": true,
"question": "In Season 15, Episode 1 of Law & Order: Special Victims Unit, on what New York island did William Lewis hide Olivia?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the value of the definite integral $$\\int_{-\\pi}^{0} (\\cos x + e^x) \\, dx.$$\n(A) 0\n(B) \\(1+ \\frac {1}{e^{\\pi}}\\)\n(C) \\(1+ \\frac {1}{e}\\)\n(D) \\(1- \\frac {1}{e^{\\pi}}\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "1 - \\frac{1}{e^{\\pi}}",
"style": "rule"
}
|
{
"index": 735,
"need_tools_kwargs": true,
"question": "Calculate the value of the definite integral $$\\int_{-\\pi}^{0} (\\cos x + e^x) \\, dx.$$\n(A) 0\n(B) \\(1+ \\frac {1}{e^{\\pi}}\\)\n(C) \\(1+ \\frac {1}{e}\\)\n(D) \\(1- \\frac {1}{e^{\\pi}}\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the child of the director of film Aathi Parasakthi?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "K. S. G. Venkatesh",
"style": "rule"
}
|
{
"index": 736,
"need_tools_kwargs": true,
"question": "Who is the child of the director of film Aathi Parasakthi?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Boxers is an outdoor 1987 steel and lacquer sculpture by an American artist and what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "social activist",
"style": "rule"
}
|
{
"index": 737,
"need_tools_kwargs": true,
"question": "The Boxers is an outdoor 1987 steel and lacquer sculpture by an American artist and 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": "Craig Spence currently works at a univeristy that is attended by approximately how many full-time students?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2,300",
"style": "rule"
}
|
{
"index": 738,
"need_tools_kwargs": true,
"question": "Craig Spence currently works at a univeristy that is attended by approximately how many full-time students?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "从正 15 边形的顶点中选出 3 个连成钝角三角形，不同的选法有多少种？",
"role": "user"
}
] |
math
|
{
"ground_truth": "315",
"style": "rule"
}
|
{
"index": 739,
"need_tools_kwargs": true,
"question": "从正 15 边形的顶点中选出 3 个连成钝角三角形，不同的选法有多少种？",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Desert Rock Airport is in a town north of what route? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "U.S. Route 95",
"style": "rule"
}
|
{
"index": 740,
"need_tools_kwargs": true,
"question": "Desert Rock Airport is in a town north of what route? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integers have an arithmetic mean of 30 and a median of 29. If the median is 7 less than the largest number, what is the smallest number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "a = 25",
"style": "rule"
}
|
{
"index": 741,
"need_tools_kwargs": true,
"question": "Three positive integers have an arithmetic mean of 30 and a median of 29. If the median is 7 less than the largest number, what is the smallest 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": "Who is the spouse of the director of film Twilight (1945 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rosenda Monteros",
"style": "rule"
}
|
{
"index": 742,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Twilight (1945 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": "Is the Pakistan fast bowler who joined the Kent County Cricket Club in June, 2011 a left-hand or right-hand batsmans?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "right-hand",
"style": "rule"
}
|
{
"index": 743,
"need_tools_kwargs": true,
"question": "Is the Pakistan fast bowler who joined the Kent County Cricket Club in June, 2011 a left-hand or right-hand batsmans?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Horse the blind is known for nintendocore which emerged from hardcore punk and what genre?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heavy metal",
"style": "rule"
}
|
{
"index": 744,
"need_tools_kwargs": true,
"question": "Horse the blind is known for nintendocore which emerged from hardcore punk and what genre?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the absolute value of the difference between single-digit integers $C$ and $D$ such that:\n$$ \\begin{array}{c@{}c@{\\;}c@{}c@{}c@{}c}\n & & & D& D & C_6\\\\\n & & & \\mathbf{5} & \\mathbf{2} & D_6\\\\\n & & + & C & \\mathbf{2} & \\mathbf{4_6}\\\\\n \\cline{2-6}\n & & D & \\mathbf{2} & \\mathbf{0} & \\mathbf{3_6} \\\\\n\\end{array} $$\nExpress your answer in base $6$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1_6",
"style": "rule"
}
|
{
"index": 745,
"need_tools_kwargs": true,
"question": "Determine the absolute value of the difference between single-digit integers $C$ and $D$ such that:\n$$ \\begin{array}{c@{}c@{\\;}c@{}c@{}c@{}c}\n & & & D& D & C_6\\\\\n & & & \\mathbf{5} & \\mathbf{2} & D_6\\\\\n & & + & C & \\mathbf{2} & \\mathbf{4_6}\\\\\n \\cline{2-6}\n & & D & \\mathbf{2} & \\mathbf{0} & \\mathbf{3_6} \\\\\n\\end{array} $$\nExpress your answer in base $6$.",
"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": "The four positive integers $a,$ $b,$ $c,$ $d$ satisfy\n\\[a \\times b \\times c \\times d = 10!.\\]Find the smallest possible value of $a + b + c + d.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "175",
"style": "rule"
}
|
{
"index": 746,
"need_tools_kwargs": true,
"question": "The four positive integers $a,$ $b,$ $c,$ $d$ satisfy\n\\[a \\times b \\times c \\times d = 10!.\\]Find the smallest possible value of $a + b + c + d.$",
"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": "Six cubes with volumes of \\(1\\), \\(8\\), \\(27\\), \\(64\\), \\(125\\), and \\(216\\) cubic units are stacked vertically to form a tower, where the volume of each cube decreases from bottom to top. Each cube is positioned such that, except for the bottom cube, the bottom face of each cube lies completely on top of the cube below it. Calculate the total surface area of the tower, including the bottom.",
"role": "user"
}
] |
math
|
{
"ground_truth": "456",
"style": "rule"
}
|
{
"index": 747,
"need_tools_kwargs": true,
"question": "Six cubes with volumes of \\(1\\), \\(8\\), \\(27\\), \\(64\\), \\(125\\), and \\(216\\) cubic units are stacked vertically to form a tower, where the volume of each cube decreases from bottom to top. Each cube is positioned such that, except for the bottom cube, the bottom face of each cube lies completely on top of the cube below it. Calculate the total surface area of the tower, including the bottom.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On a certain island, 5% of the 10,000 inhabitants are one-legged and half of the others go barefooted. What is the least number of shoes needed in the island?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10,000",
"style": "rule"
}
|
{
"index": 748,
"need_tools_kwargs": true,
"question": "On a certain island, 5% of the 10,000 inhabitants are one-legged and half of the others go barefooted. What is the least number of shoes needed in the island?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Kadvi Hawa?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "India",
"style": "rule"
}
|
{
"index": 749,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Kadvi Hawa?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 parallelogram $EFGH$, where $E = (0,0)$, $F = (0,5)$, $G = (7,5)$, and $H = (7,0)$. Draw lines from $E$ and $F$ at angles of $45^\\circ$ and $75^\\circ$ with the horizontal, and from $G$ and $H$ at angles of $-45^\\circ$ and $-75^\\circ$ with the horizontal. Determine the type of quadrilateral formed by the intersection of these lines.\nA. Square\nB. Rectangle\nC. Rhombus\nD. Parallelogram",
"role": "user"
}
] |
math
|
{
"ground_truth": "PICK_AMONG_CHOICES",
"style": "rule"
}
|
{
"index": 750,
"need_tools_kwargs": true,
"question": "Consider a parallelogram $EFGH$, where $E = (0,0)$, $F = (0,5)$, $G = (7,5)$, and $H = (7,0)$. Draw lines from $E$ and $F$ at angles of $45^\\circ$ and $75^\\circ$ with the horizontal, and from $G$ and $H$ at angles of $-45^\\circ$ and $-75^\\circ$ with the horizontal. Determine the type of quadrilateral formed by the intersection of these lines.\nA. Square\nB. Rectangle\nC. Rhombus\nD. Parallelogram",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $y > x > 0$, if $x+y$, $\\sqrt{x^2+y^2}$, and $\\lambda x$ are the three sides of a triangle, find the range of values for $\\lambda$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "[1, 2 + \\sqrt{2}]",
"style": "rule"
}
|
{
"index": 751,
"need_tools_kwargs": true,
"question": "Given that $y > x > 0$, if $x+y$, $\\sqrt{x^2+y^2}$, and $\\lambda x$ are the three sides of a triangle, find the range of values for $\\lambda$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are exactly two four-digit numbers that are multiples of three. These numbers satisfy the following conditions:\n1. The first digit is double the second digit.\n2. The third digit is three more than the fourth digit.\n3. The second digit is $2$ less than the fourth digit.\n\nFind the difference between these two numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6333",
"style": "rule"
}
|
{
"index": 752,
"need_tools_kwargs": true,
"question": "There are exactly two four-digit numbers that are multiples of three. These numbers satisfy the following conditions:\n1. The first digit is double the second digit.\n2. The third digit is three more than the fourth digit.\n3. The second digit is $2$ less than the fourth digit.\n\nFind the difference between these two numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born earlier, Scott Weiland or Dallas Taylor?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Scott Richard Weiland",
"style": "rule"
}
|
{
"index": 753,
"need_tools_kwargs": true,
"question": "Who was born earlier, Scott Weiland or Dallas Taylor?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the astronomer who discovered 86 Semele?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Friedrich Tietjen",
"style": "rule"
}
|
{
"index": 754,
"need_tools_kwargs": true,
"question": "What is the name of the astronomer who discovered 86 Semele?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song Never Said?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 755,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Never Said?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Rotations at $60^\\circ$ and $120^\\circ$",
"role": "user"
}
] |
math
|
{
"ground_truth": "120",
"style": "rule"
}
|
{
"index": 756,
"need_tools_kwargs": true,
"question": "Rotations at $60^\\circ$ and $120^\\circ$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Distribute 4 college students to three factories A, B, and C for internship activities. Factory A can only arrange for 1 college student, the other factories must arrange for at least 1 student each, and student A cannot be assigned to factory C. The number of different distribution schemes is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 757,
"need_tools_kwargs": true,
"question": "Distribute 4 college students to three factories A, B, and C for internship activities. Factory A can only arrange for 1 college student, the other factories must arrange for at least 1 student each, and student A cannot be assigned to factory C. The number of different distribution schemes is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was Christopher Hornsrud's Minister of Justice and the Police when he formed his Labour Party cabinet in 1928?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cornelius Holmboe",
"style": "rule"
}
|
{
"index": 758,
"need_tools_kwargs": true,
"question": "Who was Christopher Hornsrud's Minister of Justice and the Police when he formed his Labour Party cabinet in 1928?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Charles Henri, Prince Of Commercy's father is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "French",
"style": "rule"
}
|
{
"index": 759,
"need_tools_kwargs": true,
"question": "Which country Charles Henri, Prince Of Commercy's father 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": "The function $f(x)$ satisfies\n\\[f(x + y) = f(x) f(y)\\]for all real numbers $x$ and $y.$ Find all possible values of $f(0).$\n\nEnter all the possible values, separated by commas.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0,1",
"style": "rule"
}
|
{
"index": 760,
"need_tools_kwargs": true,
"question": "The function $f(x)$ satisfies\n\\[f(x + y) = f(x) f(y)\\]for all real numbers $x$ and $y.$ Find all possible values of $f(0).$\n\nEnter all the possible values, separated by commas.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Whitney’s mom gave her two $20 bills to spend at the school book fair. Whitney has decided to buy 2 posters, 3 notebooks, and 2 bookmarks. Each poster costs $5, each notebook costs $4, and each bookmark costs $2. How much money, in dollars, will Whitney have left over after the purchase?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$14",
"style": "rule"
}
|
{
"index": 761,
"need_tools_kwargs": true,
"question": "Whitney’s mom gave her two $20 bills to spend at the school book fair. Whitney has decided to buy 2 posters, 3 notebooks, and 2 bookmarks. Each poster costs $5, each notebook costs $4, and each bookmark costs $2. How much money, in dollars, will Whitney have left over after the purchase?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 quartic (4th-degree) polynomial $P(x)$ satisfies $P(1)=0$ and attains its maximum value of $3$ at both $x=2$ and $x=3$. Compute $P(5)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-24",
"style": "rule"
}
|
{
"index": 762,
"need_tools_kwargs": true,
"question": "The quartic (4th-degree) polynomial $P(x)$ satisfies $P(1)=0$ and attains its maximum value of $3$ at both $x=2$ and $x=3$. Compute $P(5)$.",
"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": "Do director of film The Land Of Smiles (1930 Film) and director of film Ghunghat (1996 Film) share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 763,
"need_tools_kwargs": true,
"question": "Do director of film The Land Of Smiles (1930 Film) and director of film Ghunghat (1996 Film) share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What language did the author of the Moomin series speak even though she was Finnish?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Swedish-speaking",
"style": "rule"
}
|
{
"index": 764,
"need_tools_kwargs": true,
"question": "What language did the author of the Moomin series speak even though she was Finnish?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given $f(x)=\\sin \\left( 2x+ \\frac{π}{6} \\right)+ \\frac{3}{2}$, $x\\in R$.\n\n(1) Find the minimum positive period of the function $f(x)$;\n\n(2) Find the interval(s) where the function $f(x)$ is monotonically decreasing;\n\n(3) Find the maximum value of the function and the corresponding $x$ value(s).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{5}{2}",
"style": "rule"
}
|
{
"index": 765,
"need_tools_kwargs": true,
"question": "Given $f(x)=\\sin \\left( 2x+ \\frac{π}{6} \\right)+ \\frac{3}{2}$, $x\\in R$.\n\n(1) Find the minimum positive period of the function $f(x)$;\n\n(2) Find the interval(s) where the function $f(x)$ is monotonically decreasing;\n\n(3) Find the maximum value of the function and the corresponding $x$ value(s).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the total number of pieces required to create a ten-row triangle using unit rods and connectors. Each n-row triangle uses rods in the pattern of the arithmetic sequence $3n$ and connectors forming an $(n+1)$-row triangle.",
"role": "user"
}
] |
math
|
{
"ground_truth": "231",
"style": "rule"
}
|
{
"index": 766,
"need_tools_kwargs": true,
"question": "Determine the total number of pieces required to create a ten-row triangle using unit rods and connectors. Each n-row triangle uses rods in the pattern of the arithmetic sequence $3n$ and connectors forming an $(n+1)$-row triangle.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sum of all positive integers $n$ where the mean and median of $\\{20, 42, 69, n\\}$ are both integers.\n\n*Proposed by bissue*",
"role": "user"
}
] |
math
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"index": 767,
"need_tools_kwargs": true,
"question": "Find the sum of all positive integers $n$ where the mean and median of $\\{20, 42, 69, n\\}$ are both integers.\n\n*Proposed by bissue*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Saumya Tandon currently acts as the lead character in a tv series that premiered on what date?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "March 02, 2015",
"style": "rule"
}
|
{
"index": 768,
"need_tools_kwargs": true,
"question": "Saumya Tandon currently acts as the lead character in a tv series that premiered on what date?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the equation \\(3^8 \\cdot 5^2 \\cdot 2 = a^b\\), where both \\(a\\) and \\(b\\) are positive integers, determine the smallest possible value of \\(a + b\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "812",
"style": "rule"
}
|
{
"index": 769,
"need_tools_kwargs": true,
"question": "Given the equation \\(3^8 \\cdot 5^2 \\cdot 2 = a^b\\), where both \\(a\\) and \\(b\\) are positive integers, determine the smallest possible value of \\(a + b\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What years did Margrethe II of Denmark's mother rule as Queen of Denmark?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1947 until 1972",
"style": "rule"
}
|
{
"index": 770,
"need_tools_kwargs": true,
"question": "What years did Margrethe II of Denmark's mother rule as Queen of Denmark?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polynomial \\( p(x) = a x^{3} + b x^{2} + c x + d \\), where \\( a, b, c, d \\) are constants. If \\( p(x) \\) is divided by \\( x^{2} + x + 2 \\), the remainder is \\( x + 2 \\), and if \\( p(x) \\) is divided by \\( x^{2} + x - 2 \\), the remainder is \\( 3x + 4 \\). Find \\( a, b, c, d \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 771,
"need_tools_kwargs": true,
"question": "Let the polynomial \\( p(x) = a x^{3} + b x^{2} + c x + d \\), where \\( a, b, c, d \\) are constants. If \\( p(x) \\) is divided by \\( x^{2} + x + 2 \\), the remainder is \\( x + 2 \\), and if \\( p(x) \\) is divided by \\( x^{2} + x - 2 \\), the remainder is \\( 3x + 4 \\). Find \\( a, b, 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": "Which star of \"Having You\" was born 12 July 1976?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Anna Friel",
"style": "rule"
}
|
{
"index": 772,
"need_tools_kwargs": true,
"question": "Which star of \"Having You\" was born 12 July 1976?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which of the following statements are correct?\n\nA: The negation of the proposition \"$\\forall x\\in R$, $x^{2} \\gt -1$\" is \"$\\exists x\\in R$, $x^{2}\\leqslant -1$\"\n\nB: The negation of the proposition \"$\\exists x\\in \\left(-3,+\\infty \\right)$, $x^{2}\\leqslant 9$\" is \"$\\forall x\\in \\left(-3,+\\infty \\right)$, $x^{2} \\gt 9$\"\n\nC: \"$|x| \\gt |y|$\" is a necessary condition for \"$x \\gt y$\"\n\nD: \"$m \\lt 0$\" is a necessary and sufficient condition for the equation about $x$, $x^{2}-2x+m=0$, to have one positive and one negative root",
"role": "user"
}
] |
math
|
{
"ground_truth": "ABD",
"style": "rule"
}
|
{
"index": 773,
"need_tools_kwargs": true,
"question": "Which of the following statements are correct?\n\nA: The negation of the proposition \"$\\forall x\\in R$, $x^{2} \\gt -1$\" is \"$\\exists x\\in R$, $x^{2}\\leqslant -1$\"\n\nB: The negation of the proposition \"$\\exists x\\in \\left(-3,+\\infty \\right)$, $x^{2}\\leqslant 9$\" is \"$\\forall x\\in \\left(-3,+\\infty \\right)$, $x^{2} \\gt 9$\"\n\nC: \"$|x| \\gt |y|$\" is a necessary condition for \"$x \\gt y$\"\n\nD: \"$m \\lt 0$\" is a necessary and sufficient condition for the equation about $x$, $x^{2}-2x+m=0$, to have one positive and one negative root",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Penta chooses 5 of the vertices of a unit cube. What is the maximum possible volume of the figure whose vertices are the 5 chosen points?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 774,
"need_tools_kwargs": true,
"question": "Penta chooses 5 of the vertices of a unit cube. What is the maximum possible volume of the figure whose vertices are the 5 chosen points?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Noel Dempsey and José Besprosvany of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 775,
"need_tools_kwargs": true,
"question": "Are Noel Dempsey and José Besprosvany of the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Taylor Swift had a music video of what song, penned in 2008 by herself and co-produced along with Nathan Chapman?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Change",
"style": "rule"
}
|
{
"index": 776,
"need_tools_kwargs": true,
"question": "Taylor Swift had a music video of what song, penned in 2008 by herself and co-produced along with Nathan Chapman?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 members of the Archimedes High School math club, Dan, Emily, and Fiona, each have unique two-digit ID numbers that are consecutive prime numbers. If the sum of Emily's and Fiona's ID numbers equals the current day of the month, the sum of Dan's and Fiona's ID numbers equals the day before Emily's upcoming birthday, and the sum of Dan's and Emily's ID numbers equals the day after today, what is Fiona's ID number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "17",
"style": "rule"
}
|
{
"index": 777,
"need_tools_kwargs": true,
"question": "Three members of the Archimedes High School math club, Dan, Emily, and Fiona, each have unique two-digit ID numbers that are consecutive prime numbers. If the sum of Emily's and Fiona's ID numbers equals the current day of the month, the sum of Dan's and Fiona's ID numbers equals the day before Emily's upcoming birthday, and the sum of Dan's and Emily's ID numbers equals the day after today, what is Fiona's ID 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": "Ramu bought an old car for $10,000 USD (equivalent to Rs. 45000). He spent €3000 on engine repairs (equivalent to Rs. 17000) and ¥150,000 on bodywork repairs (equivalent to Rs. 25000). He then sold the car for Rs. 80000. Over the time period of buying, repairing, and selling the car, the exchange rates fluctuated as follows:\n\n1. Initial purchase: $1 USD = Rs. 4.5\n2. Engine repairs: €1 EUR = Rs. 5.67\n3. Bodywork repairs: ¥1 JPY = Rs. 0.1667\n\nConsidering the fluctuating exchange rates and multiple currencies spent on repairs, what is Ramu's profit percent?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8.06",
"style": "rule"
}
|
{
"index": 778,
"need_tools_kwargs": true,
"question": "Ramu bought an old car for $10,000 USD (equivalent to Rs. 45000). He spent €3000 on engine repairs (equivalent to Rs. 17000) and ¥150,000 on bodywork repairs (equivalent to Rs. 25000). He then sold the car for Rs. 80000. Over the time period of buying, repairing, and selling the car, the exchange rates fluctuated as follows:\n\n1. Initial purchase: $1 USD = Rs. 4.5\n2. Engine repairs: €1 EUR = Rs. 5.67\n3. Bodywork repairs: ¥1 JPY = Rs. 0.1667\n\nConsidering the fluctuating exchange rates and multiple currencies spent on repairs, what is Ramu's profit percent?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 numerical triangle:\n\n$$\n\\begin{array}{cccccc}\n1 & \\frac{1}{2} & \\frac{1}{3} & \\frac{1}{4} & \\ldots & \\frac{1}{1993} \\\\\n\\frac{1}{2} & \\frac{1}{6} & \\frac{1}{12} & \\ldots & \\frac{1}{1992 \\cdot 1993} \\\\\n\\frac{1}{3} & \\frac{1}{12} & \\ldots &\n\\end{array}\n$$\n\n(The first row is given, and each element of the other rows is calculated as the difference of the two elements above it). The 1993rd row contains one element. Find this element.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{1993}",
"style": "rule"
}
|
{
"index": 779,
"need_tools_kwargs": true,
"question": "Consider a numerical triangle:\n\n$$\n\\begin{array}{cccccc}\n1 & \\frac{1}{2} & \\frac{1}{3} & \\frac{1}{4} & \\ldots & \\frac{1}{1993} \\\\\n\\frac{1}{2} & \\frac{1}{6} & \\frac{1}{12} & \\ldots & \\frac{1}{1992 \\cdot 1993} \\\\\n\\frac{1}{3} & \\frac{1}{12} & \\ldots &\n\\end{array}\n$$\n\n(The first row is given, and each element of the other rows is calculated as the difference of the two elements above it). The 1993rd row contains one element. Find this element.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who won Miss America 2013, which was the 86th Miss America pageant held at the PH Live in Las Vegas?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mallory Hytes Hagan",
"style": "rule"
}
|
{
"index": 780,
"need_tools_kwargs": true,
"question": "Who won Miss America 2013, which was the 86th Miss America pageant held at the PH Live in Las Vegas?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integers $n$ are there such that $n!(2n+1)$ and $221$ are relatively prime? Provide your answer as an integer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 781,
"need_tools_kwargs": true,
"question": "How many positive integers $n$ are there such that $n!(2n+1)$ and $221$ are relatively prime? Provide your answer as an integer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who was born later, Hidden Gold (1932 Film) or Stage To Blue River?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Stage To Blue River",
"style": "rule"
}
|
{
"index": 782,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Hidden Gold (1932 Film) or Stage To Blue River?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Triangle $ABC$ is similar to the triangle formed by its altitudes. Two sides of triangle $ABC$ are 4 cm and 9 cm. Find the third side.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6\\thinspace",
"style": "rule"
}
|
{
"index": 783,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ is similar to the triangle formed by its altitudes. Two sides of triangle $ABC$ are 4 cm and 9 cm. Find the third side.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 endorser of the Nike football boot, known for being lightweight, was endorsed by a French professional footballer who plays for German club Bayern Munich?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Mercurial Vapor",
"style": "rule"
}
|
{
"index": 784,
"need_tools_kwargs": true,
"question": "Which endorser of the Nike football boot, known for being lightweight, was endorsed by a French professional footballer who plays for German club Bayern Munich?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose $a, b, c$ are complex numbers with the following conditions:\n1. $a + b + c = 0$\n2. $a^2 + b^2 + c^2 = 0$\n3. $|a|, |b|, |c| \\le 5$\n\nAdditionally, assume that at least one of $a, b, c$ has both real and imaginary parts as integers. Determine the number of possible ordered triples $(a, b, c)$ that satisfy these conditions.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 785,
"need_tools_kwargs": true,
"question": "Suppose $a, b, c$ are complex numbers with the following conditions:\n1. $a + b + c = 0$\n2. $a^2 + b^2 + c^2 = 0$\n3. $|a|, |b|, |c| \\le 5$\n\nAdditionally, assume that at least one of $a, b, c$ has both real and imaginary parts as integers. Determine the number of possible ordered triples $(a, b, c)$ that satisfy these conditions.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film His People?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Woodland Hills, California",
"style": "rule"
}
|
{
"index": 786,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film His People?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film The Cruise Of The Hellion born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Philadelphia",
"style": "rule"
}
|
{
"index": 787,
"need_tools_kwargs": true,
"question": "Where was the director of film The Cruise Of The Hellion 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 the function $f(x)=ax^{3}+bx^{2}-x$ ($x\\in\\mathbb{R}, a, b$ are constants, $a\\neq 0$), and when $x=1$ and $x=2$, the function $f(x)$ takes extreme values. \n$(1)$ Find the expression of $f(x)$; \n$(2)$ If the curve $y=f(x)$ and $g(x)=-3x-m$ ($-2\\leqslant x\\leqslant 0$) have two different intersection points, find the range of the real number $m$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0\\leqslant m < \\dfrac{13}{12}",
"style": "rule"
}
|
{
"index": 788,
"need_tools_kwargs": true,
"question": "Let the function $f(x)=ax^{3}+bx^{2}-x$ ($x\\in\\mathbb{R}, a, b$ are constants, $a\\neq 0$), and when $x=1$ and $x=2$, the function $f(x)$ takes extreme values. \n$(1)$ Find the expression of $f(x)$; \n$(2)$ If the curve $y=f(x)$ and $g(x)=-3x-m$ ($-2\\leqslant x\\leqslant 0$) have two different intersection points, find the range of the real number $m$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many triangles are in the figure below? [asy]\ndraw((0,0)--(30,0)--(30,20)--(0,20)--cycle);\ndraw((15,0)--(15,20));\ndraw((0,0)--(15,20));\ndraw((15,0)--(0,20));\ndraw((15,0)--(30,20));\ndraw((30,0)--(15,20));\ndraw((0,10)--(30,10));\ndraw((7.5,0)--(7.5,20));\ndraw((22.5,0)--(22.5,20));\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 789,
"need_tools_kwargs": true,
"question": "How many triangles are in the figure below? [asy]\ndraw((0,0)--(30,0)--(30,20)--(0,20)--cycle);\ndraw((15,0)--(15,20));\ndraw((0,0)--(15,20));\ndraw((15,0)--(0,20));\ndraw((15,0)--(30,20));\ndraw((30,0)--(15,20));\ndraw((0,10)--(30,10));\ndraw((7.5,0)--(7.5,20));\ndraw((22.5,0)--(22.5,20));\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": "Are Gamers: The Movie and Three from the Unemployment Office from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 790,
"need_tools_kwargs": true,
"question": "Are Gamers: The Movie and Three from the Unemployment Office 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": "What nationality is the director of film Destination: Dewsbury?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 791,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Destination: Dewsbury?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Danish island with a defunct lighthouse is located between Zealand and Funen?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Romsø",
"style": "rule"
}
|
{
"index": 792,
"need_tools_kwargs": true,
"question": "What Danish island with a defunct lighthouse is located between Zealand and Funen?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Rangers also made moves to acquire an American-born Mexican professional baseball infielder born in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1982",
"style": "rule"
}
|
{
"index": 793,
"need_tools_kwargs": true,
"question": " Rangers also made moves to acquire an American-born Mexican professional baseball infielder born 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": "Where was the man who converted Grady Wilson to evangelism ordained at? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Burton Memorial Baptist Church",
"style": "rule"
}
|
{
"index": 794,
"need_tools_kwargs": true,
"question": "Where was the man who converted Grady Wilson to evangelism ordained at? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Petya wrote a natural number \\( A \\) on the board. If you multiply it by 8, you get the square of a natural number. How many such three-digit numbers \\( B \\) exist for which \\( A \\cdot B \\) is also a square of a natural number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 795,
"need_tools_kwargs": true,
"question": "Petya wrote a natural number \\( A \\) on the board. If you multiply it by 8, you get the square of a natural number. How many such three-digit numbers \\( B \\) exist for which \\( A \\cdot B \\) is also a square of a natural 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": "What is the area enclosed by the graph of $|5x| + |3y| = 15$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 796,
"need_tools_kwargs": true,
"question": "What is the area enclosed by the graph of $|5x| + |3y| = 15$?",
"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": "Once, Carlson and Winnie the Pooh competed in the speed of eating honey and jam. Carlson, an expert in jam, eats a jar of jam in 2 minutes, while Winnie the Pooh takes a full 7 minutes to finish a jar of jam. Meanwhile, Winnie the Pooh can finish a pot of honey in 3 minutes, but Carlson requires 5 minutes to do the same. In total, they had 10 jars of jam and 10 pots of honey. For how many minutes did they eat everything, given that they started and finished eating at the same time? (Each eats a pot of honey or a jar of jam completely.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "48",
"style": "rule"
}
|
{
"index": 797,
"need_tools_kwargs": true,
"question": "Once, Carlson and Winnie the Pooh competed in the speed of eating honey and jam. Carlson, an expert in jam, eats a jar of jam in 2 minutes, while Winnie the Pooh takes a full 7 minutes to finish a jar of jam. Meanwhile, Winnie the Pooh can finish a pot of honey in 3 minutes, but Carlson requires 5 minutes to do the same. In total, they had 10 jars of jam and 10 pots of honey. For how many minutes did they eat everything, given that they started and finished eating at the same time? (Each eats a pot of honey or a jar of jam completely.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 KEGG ID of Hydroxyzine, an antihistamine medication?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "D08054",
"style": "rule"
}
|
{
"index": 798,
"need_tools_kwargs": true,
"question": "What is the KEGG ID of Hydroxyzine, an antihistamine medication?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 murderer, by whom the character Keyser Söze was inspired, commit his murders?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Westfield, New Jersey",
"style": "rule"
}
|
{
"index": 799,
"need_tools_kwargs": true,
"question": "Where did the murderer, by whom the character Keyser Söze was inspired, commit his murders?",
"split": "train"
}
| null |
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