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": "From the 11 integers between 1 and 11, select any 6 numbers. Among the following conclusions, how many are correct?\n(1) There must be two numbers that are coprime.\n(2) There must be one number that is a multiple of another.\n(3) There must be one number whose double is a multiple of another.\nA. 3\nB. 2\nC. 1\nD. 0",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 9100,
"need_tools_kwargs": true,
"question": "From the 11 integers between 1 and 11, select any 6 numbers. Among the following conclusions, how many are correct?\n(1) There must be two numbers that are coprime.\n(2) There must be one number that is a multiple of another.\n(3) There must be one number whose double is a multiple of another.\nA. 3\nB. 2\nC. 1\nD. 0",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did Henry Iv, Duke Of Brabant's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23 October 1273",
"style": "rule"
}
|
{
"index": 9101,
"need_tools_kwargs": true,
"question": "When did Henry Iv, Duke Of Brabant's mother die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which actor appeared in more than fifty British films, including the 1946 thriller Green for Danger?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alastair George Bell Sim",
"style": "rule"
}
|
{
"index": 9102,
"need_tools_kwargs": true,
"question": "Which actor appeared in more than fifty British films, including the 1946 thriller Green for Danger?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 parametric equation of curve $C\\_1$ as $\\begin{cases} x=2\\cos \\theta \\ y=\\sqrt{3}\\sin \\theta \\end{cases}(\\theta \\text{ is the parameter})$, and curve $C\\_2$ has a polar coordinate equation of $\\rho=2$ with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis.\n\n(1) Write the Cartesian equation for $C\\_1$ and the polar coordinate equation for $C\\_2$.\n(2) Let $M$ and $N$ be the upper and lower vertices of curve $C\\_1$, respectively. $P$ is any point on curve $C\\_2$. Find the maximum value of $|PM|+|PN|$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{7}",
"style": "rule"
}
|
{
"index": 9103,
"need_tools_kwargs": true,
"question": "Given the parametric equation of curve $C\\_1$ as $\\begin{cases} x=2\\cos \\theta \\ y=\\sqrt{3}\\sin \\theta \\end{cases}(\\theta \\text{ is the parameter})$, and curve $C\\_2$ has a polar coordinate equation of $\\rho=2$ with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis.\n\n(1) Write the Cartesian equation for $C\\_1$ and the polar coordinate equation for $C\\_2$.\n(2) Let $M$ and $N$ be the upper and lower vertices of curve $C\\_1$, respectively. $P$ is any point on curve $C\\_2$. Find the maximum value of $|PM|+|PN|$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Command Decision (Film) and Dodging A Million films have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 9104,
"need_tools_kwargs": true,
"question": "Do both Command Decision (Film) and Dodging A Million films 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": "What English actor who's work included lead roles in \"Pennies from Heaven\", stared in a 1988 American live-action/animated fantasy film directed by Robert Zemeckis?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Robert William Hoskins",
"style": "rule"
}
|
{
"index": 9105,
"need_tools_kwargs": true,
"question": "What English actor who's work included lead roles in \"Pennies from Heaven\", stared in a 1988 American live-action/animated fantasy film directed by Robert Zemeckis?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both Sar Garu and Lowlak-E Kaslian located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 9106,
"need_tools_kwargs": true,
"question": "Are both Sar Garu and Lowlak-E Kaslian located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films: Cantata (Film) and Kult Ciała have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9107,
"need_tools_kwargs": true,
"question": "Do both films: Cantata (Film) and Kult Ciała 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": "What song co-written by Sia was performed by Tokio Myers on Britain's Got Talent in semi-final 3?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Diamonds",
"style": "rule"
}
|
{
"index": 9108,
"need_tools_kwargs": true,
"question": "What song co-written by Sia was performed by Tokio Myers on Britain's Got Talent in semi-final 3?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At the 2014 Asian Games which sport had more team events?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Handball",
"style": "rule"
}
|
{
"index": 9109,
"need_tools_kwargs": true,
"question": "At the 2014 Asian Games which sport had more team events?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "You are tasked with filling seven consecutive natural numbers into the points \\(A, B, C, D, E, F, G\\) at the intersections of five circles. The requirement is that the sum of the numbers on each circle must be equal. All numbers must be greater than 0 and less than or equal to 10. Determine the number that should be placed at point \\(G\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 9110,
"need_tools_kwargs": true,
"question": "You are tasked with filling seven consecutive natural numbers into the points \\(A, B, C, D, E, F, G\\) at the intersections of five circles. The requirement is that the sum of the numbers on each circle must be equal. All numbers must be greater than 0 and less than or equal to 10. Determine the number that should be placed at point \\(G\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born earlier, No Babies Wanted or Prey For The Shadows?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "No Babies Wanted",
"style": "rule"
}
|
{
"index": 9111,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, No Babies Wanted or Prey For The Shadows?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine all prime numbers \\( p, q,\\) and \\( r \\) such that \\( p + q^2 = r^4 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 9112,
"need_tools_kwargs": true,
"question": "Determine all prime numbers \\( p, q,\\) and \\( r \\) such that \\( p + q^2 = r^4 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jason rolls four fair standard six-sided dice and aims to have the sum of the numbers face-up on the four dice equal exactly 10. Describe the conditions under which Jason would choose to reroll exactly three of the dice. What is the probability that he chooses to reroll exactly three of the dice?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{5}{108}",
"style": "rule"
}
|
{
"index": 9113,
"need_tools_kwargs": true,
"question": "Jason rolls four fair standard six-sided dice and aims to have the sum of the numbers face-up on the four dice equal exactly 10. Describe the conditions under which Jason would choose to reroll exactly three of the dice. What is the probability that he chooses to reroll exactly three of the dice?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Tara's taking a road trip for the weekend. She drives for two days, stopping to fill up her gas tank each time from empty to full when she needs it. She visits 4 different gas stations in total, with the price of gas being $3, $3.50, $4, and $4.50 respectively at each. If Tara's car has a 12-gallon tank, how much does she spend on gas for her road trip?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$180",
"style": "rule"
}
|
{
"index": 9114,
"need_tools_kwargs": true,
"question": "Tara's taking a road trip for the weekend. She drives for two days, stopping to fill up her gas tank each time from empty to full when she needs it. She visits 4 different gas stations in total, with the price of gas being $3, $3.50, $4, and $4.50 respectively at each. If Tara's car has a 12-gallon tank, how much does she spend on gas for her road trip?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sum of the first $n$ terms of the sequence $\\{a\\_n\\}$ is $S\\_n=3^{n}+1$, find the value of $a\\_2+a\\_3$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a\\_2+a\\_3=24",
"style": "rule"
}
|
{
"index": 9115,
"need_tools_kwargs": true,
"question": "Given that the sum of the first $n$ terms of the sequence $\\{a\\_n\\}$ is $S\\_n=3^{n}+1$, find the value of $a\\_2+a\\_3$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Veselá Bída die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Prague",
"style": "rule"
}
|
{
"index": 9116,
"need_tools_kwargs": true,
"question": "Where did the director of film Veselá Bída die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In right triangle \\( ABC \\), where \\( AX = AD \\) and \\( CY = CD \\), determine the measure of \\(\\angle XDY\\). Provide a detailed explanation of your reasoning and calculations.",
"role": "user"
}
] |
math
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"index": 9117,
"need_tools_kwargs": true,
"question": "In right triangle \\( ABC \\), where \\( AX = AD \\) and \\( CY = CD \\), determine the measure of \\(\\angle XDY\\). Provide a detailed explanation of your reasoning and calculations.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Musician is older Philip Labonte or Shin Hye-sung",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Philip Steven Labonte",
"style": "rule"
}
|
{
"index": 9118,
"need_tools_kwargs": true,
"question": "Which Musician is older Philip Labonte or Shin Hye-sung",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 fighting game club has $2024$ members. One day, a game of Smash is played between some pairs of members such that every member has played against exactly $3$ other members. Each match has a winner and a loser. A member will be happy if they won in at least $2$ of the matches. What is the maximum number of happy members over all possible match-ups and all possible outcomes?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1012",
"style": "rule"
}
|
{
"index": 9119,
"need_tools_kwargs": true,
"question": "A fighting game club has $2024$ members. One day, a game of Smash is played between some pairs of members such that every member has played against exactly $3$ other members. Each match has a winner and a loser. A member will be happy if they won in at least $2$ of the matches. What is the maximum number of happy members over all possible match-ups and all possible outcomes?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sequence $\\{a_k\\}_{k=1}^{11}$ of real numbers defined by $a_1=0.5$, $a_2=(0.51)^{a_1}$, $a_3=(0.501)^{a_2}$, $a_4=(0.511)^{a_3}$, and in general,\n\n$a_k=\\begin{cases}\n(0.\\underbrace{501\\cdots 01}_{k+1\\text{ digits}})^{a_{k-1}} & \\text{if } k \\text{ is odd,} \\\\\n(0.\\underbrace{501\\cdots 011}_{k+1\\text{ digits}})^{a_{k-1}} & \\text{if } k \\text{ is even.}\n\\end{cases}$\n\nRearrange the numbers in the sequence $\\{a_k\\}_{k=1}^{11}$ in decreasing order to produce a new sequence $\\{b_k\\}_{k=1}^{11}$. Find the sum of all integers $k$, $1\\le k \\le 11$, such that $a_k = b_k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 9120,
"need_tools_kwargs": true,
"question": "Given the sequence $\\{a_k\\}_{k=1}^{11}$ of real numbers defined by $a_1=0.5$, $a_2=(0.51)^{a_1}$, $a_3=(0.501)^{a_2}$, $a_4=(0.511)^{a_3}$, and in general,\n\n$a_k=\\begin{cases}\n(0.\\underbrace{501\\cdots 01}_{k+1\\text{ digits}})^{a_{k-1}} & \\text{if } k \\text{ is odd,} \\\\\n(0.\\underbrace{501\\cdots 011}_{k+1\\text{ digits}})^{a_{k-1}} & \\text{if } k \\text{ is even.}\n\\end{cases}$\n\nRearrange the numbers in the sequence $\\{a_k\\}_{k=1}^{11}$ in decreasing order to produce a new sequence $\\{b_k\\}_{k=1}^{11}$. Find the sum of all integers $k$, $1\\le k \\le 11$, such that $a_k = b_k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both villages, Chahar Rah-E Soleyman and Ab-E Garmu, Rudbar-E Jonubi, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 9121,
"need_tools_kwargs": true,
"question": "Are both villages, Chahar Rah-E Soleyman and Ab-E Garmu, Rudbar-E Jonubi, located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The speaker of whom the priminister of india is responsible to is elected by what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "members of the Lok Sabha",
"style": "rule"
}
|
{
"index": 9122,
"need_tools_kwargs": true,
"question": "The speaker of whom the priminister of india is responsible to is elected by 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": "$ABCD$, a rectangle with $AB = 12$ and $BC = 16$, is the base of pyramid $P$, which has a height of $24$. A plane parallel to $ABCD$ is passed through $P$, dividing $P$ into a frustum $F$ and a smaller pyramid $P'$. Let $X$ denote the center of the circumsphere of $F$, and let $T$ denote the apex of $P$. If the volume of $P$ is eight times that of $P'$, then the value of $XT$ can be expressed as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Compute the value of $m + n$.\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "177",
"style": "rule"
}
|
{
"index": 9123,
"need_tools_kwargs": true,
"question": "$ABCD$, a rectangle with $AB = 12$ and $BC = 16$, is the base of pyramid $P$, which has a height of $24$. A plane parallel to $ABCD$ is passed through $P$, dividing $P$ into a frustum $F$ and a smaller pyramid $P'$. Let $X$ denote the center of the circumsphere of $F$, and let $T$ denote the apex of $P$. If the volume of $P$ is eight times that of $P'$, then the value of $XT$ can be expressed as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Compute the value of $m + n$.\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": "Wild and Woolly starred the American actor who was also a professional in what other discipline?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "dog breeder",
"style": "rule"
}
|
{
"index": 9124,
"need_tools_kwargs": true,
"question": "Wild and Woolly starred the American actor who was also a professional in what other discipline?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Giacomo I Crispo's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Venice",
"style": "rule"
}
|
{
"index": 9125,
"need_tools_kwargs": true,
"question": "What nationality is Giacomo I Crispo'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": "When did the director of film Federal Agent die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "November 10, 1964",
"style": "rule"
}
|
{
"index": 9126,
"need_tools_kwargs": true,
"question": "When did the director of film Federal Agent die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The cells of a pyramid are filled according to the following rule: above each pair of adjacent numbers, their arithmetic mean is written. Some numbers were erased, resulting in the structure shown in the picture. What number was in the bottom right cell? (The arithmetic mean of two numbers is their sum divided by 2.)\n\n!pyramid",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 9127,
"need_tools_kwargs": true,
"question": "The cells of a pyramid are filled according to the following rule: above each pair of adjacent numbers, their arithmetic mean is written. Some numbers were erased, resulting in the structure shown in the picture. What number was in the bottom right cell? (The arithmetic mean of two numbers is their sum divided by 2.)\n\n!pyramid",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $A$ be the set $\\{k^{19}-k: 1<k<20, k\\in N\\}$ . Let $G$ be the GCD of all elements of $A$ .\nThen the value of $G$ is?",
"role": "user"
}
] |
math
|
{
"ground_truth": "798",
"style": "rule"
}
|
{
"index": 9128,
"need_tools_kwargs": true,
"question": "Let $A$ be the set $\\{k^{19}-k: 1<k<20, k\\in N\\}$ . Let $G$ be the GCD of all elements of $A$ .\nThen the value of $G$ 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": "On the first episode of the BBC show Dragon's Den in Series 19, Steven Bartlett invested in a company. What is the name of this company?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cheesegeek",
"style": "rule"
}
|
{
"index": 9129,
"need_tools_kwargs": true,
"question": "On the first episode of the BBC show Dragon's Den in Series 19, Steven Bartlett invested in a company. What is the name of this company?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given points $A(1,1)$, $B(1,-1)$, $C(\\cos\\theta,\\sin\\theta) (\\theta\\in \\mathbb{R})$, and $O$ as the origin of coordinates. \n(1) If $|OA-OB|=OC$, find the value of $\\sin 2\\theta$; \n(2) If real numbers $m$ and $n$ satisfy $m + n = OC$, calculate the maximum value of $(m-3)^2 + n^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 9130,
"need_tools_kwargs": true,
"question": "Given points $A(1,1)$, $B(1,-1)$, $C(\\cos\\theta,\\sin\\theta) (\\theta\\in \\mathbb{R})$, and $O$ as the origin of coordinates. \n(1) If $|OA-OB|=OC$, find the value of $\\sin 2\\theta$; \n(2) If real numbers $m$ and $n$ satisfy $m + n = OC$, calculate the maximum value of $(m-3)^2 + n^2$.",
"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": "Let \\( S = \\{1, 2, 3, \\ldots, 100\\} \\). Consider any non-empty subset \\( S_1 \\) of \\( S \\). The difference between the largest and smallest elements in \\( S_1 \\) is referred to as the \"diameter\" of \\( S_1 \\). Determine the total sum of the diameters of all subsets of \\( S \\) whose diameter is 91.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9\\times91\\times2^{90}",
"style": "rule"
}
|
{
"index": 9131,
"need_tools_kwargs": true,
"question": "Let \\( S = \\{1, 2, 3, \\ldots, 100\\} \\). Consider any non-empty subset \\( S_1 \\) of \\( S \\). The difference between the largest and smallest elements in \\( S_1 \\) is referred to as the \"diameter\" of \\( S_1 \\). Determine the total sum of the diameters of all subsets of \\( S \\) whose diameter is 91.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Tom catches crabs for a living and there are two types of crabs: Blue crabs and Red crabs. He has 8 crab buckets that he checks every day. The number of crabs he catches in each bucket every day varies as follows:\n\n- Monday: 10 Blue crabs and 14 Red crabs per bucket\n- Tuesday: 8 Blue crabs and 16 Red crabs per bucket\n- Wednesday: 12 Blue crabs and 10 Red crabs per bucket\n- Thursday: 6 Blue crabs and 18 Red crabs per bucket\n- Friday: 14 Blue crabs and 12 Red crabs per bucket\n- Saturday: 10 Blue crabs and 10 Red crabs per bucket\n- Sunday: 8 Blue crabs and 8 Red crabs per bucket\n\nHe sells each Blue crab for $6 and each Red crab for $4. How much money does Tom make per week?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$6080",
"style": "rule"
}
|
{
"index": 9132,
"need_tools_kwargs": true,
"question": "Tom catches crabs for a living and there are two types of crabs: Blue crabs and Red crabs. He has 8 crab buckets that he checks every day. The number of crabs he catches in each bucket every day varies as follows:\n\n- Monday: 10 Blue crabs and 14 Red crabs per bucket\n- Tuesday: 8 Blue crabs and 16 Red crabs per bucket\n- Wednesday: 12 Blue crabs and 10 Red crabs per bucket\n- Thursday: 6 Blue crabs and 18 Red crabs per bucket\n- Friday: 14 Blue crabs and 12 Red crabs per bucket\n- Saturday: 10 Blue crabs and 10 Red crabs per bucket\n- Sunday: 8 Blue crabs and 8 Red crabs per bucket\n\nHe sells each Blue crab for $6 and each Red crab for $4. How much money does Tom make per week?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What character does Michael Rooker play in an American action adventure film directed by Renny Harlin and co-starring Sylvester Stallone, Johm Lithgow, and Janine Turner?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hal Tucker",
"style": "rule"
}
|
{
"index": 9133,
"need_tools_kwargs": true,
"question": "What character does Michael Rooker play in an American action adventure film directed by Renny Harlin and co-starring Sylvester Stallone, Johm Lithgow, and Janine Turner?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 classroom has 10 chairs arranged in a row. Tom and Jerry choose their seats at random, but they are not allowed to sit on the first and last chairs. What is the probability that they don't sit next to each other?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{4}",
"style": "rule"
}
|
{
"index": 9134,
"need_tools_kwargs": true,
"question": "A classroom has 10 chairs arranged in a row. Tom and Jerry choose their seats at random, but they are not allowed to sit on the first and last chairs. What is the probability that they don't sit next to each other?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 maximum length of a non-self-intersecting closed polygonal chain that follows the lines of an $8 \\times 8$ grid?",
"role": "user"
}
] |
math
|
{
"ground_truth": "80",
"style": "rule"
}
|
{
"index": 9135,
"need_tools_kwargs": true,
"question": "What is the maximum length of a non-self-intersecting closed polygonal chain that follows the lines of an $8 \\times 8$ grid?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What do Pale Saints and The Vaselines have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "rock band",
"style": "rule"
}
|
{
"index": 9136,
"need_tools_kwargs": true,
"question": "What do Pale Saints and The Vaselines have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many different $6\\times 6$ arrays whose entries are all 1's and -1's have the property that the sum of the entries in each row is 0 and the sum of the entries in each column is also 0?",
"role": "user"
}
] |
math
|
{
"ground_truth": "578600",
"style": "rule"
}
|
{
"index": 9137,
"need_tools_kwargs": true,
"question": "How many different $6\\times 6$ arrays whose entries are all 1's and -1's have the property that the sum of the entries in each row is 0 and the sum of the entries in each column is also 0?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the group attacked in the attack on the Four Square Laundry formed?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "summer of 1971",
"style": "rule"
}
|
{
"index": 9138,
"need_tools_kwargs": true,
"question": "When was the group attacked in the attack on the Four Square Laundry formed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Hotride is the fifteenth single released by what music group from Braintree, Essex, that was formed in 1990?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Prodigy",
"style": "rule"
}
|
{
"index": 9139,
"need_tools_kwargs": true,
"question": "Hotride is the fifteenth single released by what music group from Braintree, Essex, that was formed in 1990?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Bailey is making a rectangle out of a certain length of rope. The longer sides of the rectangle are 28cm long, and the length of each of the shorter sides is 22cm. What is the total length of the rope Bailey has?",
"role": "user"
}
] |
math
|
{
"ground_truth": "100cm",
"style": "rule"
}
|
{
"index": 9140,
"need_tools_kwargs": true,
"question": "Bailey is making a rectangle out of a certain length of rope. The longer sides of the rectangle are 28cm long, and the length of each of the shorter sides is 22cm. What is the total length of the rope Bailey has?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 award the performer of song The Forgotten (Green Day Song) received?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rock and Roll Hall of Fame",
"style": "rule"
}
|
{
"index": 9141,
"need_tools_kwargs": true,
"question": "Which award the performer of song The Forgotten (Green Day Song) received?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\mathbf{A} =\\begin{pmatrix} -1 & 2 \\\\ 3 & 4 \\end{pmatrix}.$ Then there exist scalars $p$ and $q$ such that\n\\[\\mathbf{A}^6 = p \\mathbf{A} + q \\mathbf{I}.\\]Enter the ordered pair $(p,q).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(2223,4510)",
"style": "rule"
}
|
{
"index": 9142,
"need_tools_kwargs": true,
"question": "Let $\\mathbf{A} =\\begin{pmatrix} -1 & 2 \\\\ 3 & 4 \\end{pmatrix}.$ Then there exist scalars $p$ and $q$ such that\n\\[\\mathbf{A}^6 = p \\mathbf{A} + q \\mathbf{I}.\\]Enter the ordered pair $(p,q).$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( z = \\frac{1+\\mathrm{i}}{\\sqrt{2}} \\). Calculate the value of the expression \\( \\left(\\sum_{k=1}^{12} z^{k^{2}}\\right)\\left(\\sum_{k=1}^{12} \\frac{1}{z^{k^{2}}}\\right) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 9143,
"need_tools_kwargs": true,
"question": "Let \\( z = \\frac{1+\\mathrm{i}}{\\sqrt{2}} \\). Calculate the value of the expression \\( \\left(\\sum_{k=1}^{12} z^{k^{2}}\\right)\\left(\\sum_{k=1}^{12} \\frac{1}{z^{k^{2}}}\\right) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "From a pile of apples, 5 are randomly selected, and their weights are as follows (unit: grams) 125, 124, 121, 123, 127. The sample standard deviation $s$ = ______ (grams) (answer with a number).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 9144,
"need_tools_kwargs": true,
"question": "From a pile of apples, 5 are randomly selected, and their weights are as follows (unit: grams) 125, 124, 121, 123, 127. The sample standard deviation $s$ = ______ (grams) (answer with a 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": "\\(\\sqrt[4]{6 x(5+2 \\sqrt{6})} \\cdot \\sqrt{3 \\sqrt{2 x}-2 \\sqrt{3 x}}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2.44948974278318",
"style": "rule"
}
|
{
"index": 9145,
"need_tools_kwargs": true,
"question": "\\(\\sqrt[4]{6 x(5+2 \\sqrt{6})} \\cdot \\sqrt{3 \\sqrt{2 x}-2 \\sqrt{3 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": "Cameron writes down the smallest positive multiple of 30 that is a perfect square, the smallest positive multiple of 30 that is a cube, and all multiples of 30 up to the smallest multiple of 30 that is a perfect fourth power. How many integers are in Cameron's list?",
"role": "user"
}
] |
math
|
{
"ground_truth": "26971",
"style": "rule"
}
|
{
"index": 9146,
"need_tools_kwargs": true,
"question": "Cameron writes down the smallest positive multiple of 30 that is a perfect square, the smallest positive multiple of 30 that is a cube, and all multiples of 30 up to the smallest multiple of 30 that is a perfect fourth power. How many integers are in Cameron's list?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born first, El Rey De Los Exhortos or The President'S Last Bang?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "El Rey De Los Exhortos",
"style": "rule"
}
|
{
"index": 9147,
"need_tools_kwargs": true,
"question": "Which film has the director born first, El Rey De Los Exhortos or The President'S Last Bang?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American actor acted in Drive ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bryan Lee Cranston",
"style": "rule"
}
|
{
"index": 9148,
"need_tools_kwargs": true,
"question": "Which American actor acted in Drive ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 general solution of the equation \\( y'' - 5y' + 6y = 0 \\) and identify the particular solution that satisfies the initial conditions \\( y = 1 \\) and \\( y' = 2 \\) at \\( x = 0 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "y(x) = \\exp(2x)",
"style": "rule"
}
|
{
"index": 9149,
"need_tools_kwargs": true,
"question": "Find the general solution of the equation \\( y'' - 5y' + 6y = 0 \\) and identify the particular solution that satisfies the initial conditions \\( y = 1 \\) and \\( y' = 2 \\) at \\( x = 0 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Chikku Bhukku is based on a 2003 movie, which was directed by whom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kwak Jae-yong",
"style": "rule"
}
|
{
"index": 9150,
"need_tools_kwargs": true,
"question": "Chikku Bhukku is based on a 2003 movie, which was directed by whom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jonas Hummels is the brother of which Bayern Munich player?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mats Julian Hummels",
"style": "rule"
}
|
{
"index": 9151,
"need_tools_kwargs": true,
"question": "Jonas Hummels is the brother of which Bayern Munich player?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$p$ and $q$ are two consecutive prime numbers greater than 2, arranged in ascending order. The number of prime factors (not necessarily distinct) of $p + q$ is $m$. Find the minimum value of $m$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 9152,
"need_tools_kwargs": true,
"question": "$p$ and $q$ are two consecutive prime numbers greater than 2, arranged in ascending order. The number of prime factors (not necessarily distinct) of $p + q$ is $m$. Find the minimum value of $m$.",
"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": "If $x\\log_{3}2=1$, find the value of $2^{x}+2^{-x}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac {10}{3}",
"style": "rule"
}
|
{
"index": 9153,
"need_tools_kwargs": true,
"question": "If $x\\log_{3}2=1$, find the value of $2^{x}+2^{-x}$.",
"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": "Compute the number of nonempty subsets $S$ of $\\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\}$ such that $\\frac{\\max \\,\\, S + \\min \\,\\,S}{2}$ is an element of $S$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "234",
"style": "rule"
}
|
{
"index": 9154,
"need_tools_kwargs": true,
"question": "Compute the number of nonempty subsets $S$ of $\\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\}$ such that $\\frac{\\max \\,\\, S + \\min \\,\\,S}{2}$ is an element of $S$ .",
"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": "Compute the value of the sum\n\\begin{align*}\n \\frac{1}{1 + \\tan^3 0^\\circ}\n &+ \\frac{1}{1 + \\tan^3 10^\\circ} + \\frac{1}{1 + \\tan^3 20^\\circ}\n + \\frac{1}{1 + \\tan^3 30^\\circ} + \\frac{1}{1 + \\tan^3 40^\\circ} \\\\\n &+ \\frac{1}{1 + \\tan^3 50^\\circ} + \\frac{1}{1 + \\tan^3 60^\\circ}\n + \\frac{1}{1 + \\tan^3 70^\\circ} + \\frac{1}{1 + \\tan^3 80^\\circ}\n \\, .\n\\end{align*}",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9155,
"need_tools_kwargs": true,
"question": "Compute the value of the sum\n\\begin{align*}\n \\frac{1}{1 + \\tan^3 0^\\circ}\n &+ \\frac{1}{1 + \\tan^3 10^\\circ} + \\frac{1}{1 + \\tan^3 20^\\circ}\n + \\frac{1}{1 + \\tan^3 30^\\circ} + \\frac{1}{1 + \\tan^3 40^\\circ} \\\\\n &+ \\frac{1}{1 + \\tan^3 50^\\circ} + \\frac{1}{1 + \\tan^3 60^\\circ}\n + \\frac{1}{1 + \\tan^3 70^\\circ} + \\frac{1}{1 + \\tan^3 80^\\circ}\n \\, .\n\\end{align*}",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\[\\begin{aligned} \na &= \\sqrt{2}^2+\\sqrt{3}+\\sqrt{5}, \\\\\nb &= -\\sqrt{2}^2+\\sqrt{3}+\\sqrt{5}, \\\\\nc &= \\sqrt{2}^2-\\sqrt{3}+\\sqrt{5}, \\\\\nd &= -\\sqrt{2}^2-\\sqrt{3}+\\sqrt{5}.\n\\end{aligned}\\]\nEvaluate $\\left(\\frac1a + \\frac1b + \\frac1c + \\frac1d\\right)^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9156,
"need_tools_kwargs": true,
"question": "Let \\[\\begin{aligned} \na &= \\sqrt{2}^2+\\sqrt{3}+\\sqrt{5}, \\\\\nb &= -\\sqrt{2}^2+\\sqrt{3}+\\sqrt{5}, \\\\\nc &= \\sqrt{2}^2-\\sqrt{3}+\\sqrt{5}, \\\\\nd &= -\\sqrt{2}^2-\\sqrt{3}+\\sqrt{5}.\n\\end{aligned}\\]\nEvaluate $\\left(\\frac1a + \\frac1b + \\frac1c + \\frac1d\\right)^2$.",
"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": "设函数 $f(x)=\\cos x+\\log _{2} x(x>0)$, 若正实数 $a$ 满足 $f(a)=f(2 a)$, 则 $f(2 a)-f(4 a)$ 的值为原始答案中的两个可能整数之和。请给出该和的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "-4",
"style": "rule"
}
|
{
"index": 9157,
"need_tools_kwargs": true,
"question": "设函数 $f(x)=\\cos x+\\log _{2} x(x>0)$, 若正实数 $a$ 满足 $f(a)=f(2 a)$, 则 $f(2 a)-f(4 a)$ 的值为原始答案中的两个可能整数之和。请给出该和的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A buyer took goods worth 10 rubles from a seller and gave 25 rubles. The seller did not have change, so he exchanged money with a neighbor. After they finished the transaction and the buyer left, the neighbor discovered that the 25 rubles were counterfeit. The seller returned 25 rubles to the neighbor and started thinking. What loss did the seller incur?",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 9158,
"need_tools_kwargs": true,
"question": "A buyer took goods worth 10 rubles from a seller and gave 25 rubles. The seller did not have change, so he exchanged money with a neighbor. After they finished the transaction and the buyer left, the neighbor discovered that the 25 rubles were counterfeit. The seller returned 25 rubles to the neighbor and started thinking. What loss did the seller incur?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $S$ be the sum of all positive integers $n$ such that $\\frac{3}{5}$ of the positive divisors of $n$ are multiples of $6$ and $n$ has no prime divisors greater than $3$ . Compute $\\frac{S}{36}$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "2345",
"style": "rule"
}
|
{
"index": 9159,
"need_tools_kwargs": true,
"question": "Let $S$ be the sum of all positive integers $n$ such that $\\frac{3}{5}$ of the positive divisors of $n$ are multiples of $6$ and $n$ has no prime divisors greater than $3$ . Compute $\\frac{S}{36}$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In which U.S. state is the city which was served by the Floridian train, affectionately known as \"The River City\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the State of Alabama",
"style": "rule"
}
|
{
"index": 9160,
"need_tools_kwargs": true,
"question": "In which U.S. state is the city which was served by the Floridian train, affectionately known as \"The River City\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The number of points equidistant from a circle and two parallel tangents to the circle is \\(\\underline{\\phantom{}}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 9161,
"need_tools_kwargs": true,
"question": "The number of points equidistant from a circle and two parallel tangents to the circle is \\(\\underline{\\phantom{}}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "I pick two whole numbers $x$ and $y$ between $1$ and $10$ inclusive (not necessarily distinct). My friend picks two numbers $x -4$ and $2y-1$. If the product of my friend's numbers is one greater than the product of my numbers, then what is the product of my numbers?",
"role": "user"
}
] |
math
|
{
"ground_truth": "54",
"style": "rule"
}
|
{
"index": 9162,
"need_tools_kwargs": true,
"question": "I pick two whole numbers $x$ and $y$ between $1$ and $10$ inclusive (not necessarily distinct). My friend picks two numbers $x -4$ and $2y-1$. If the product of my friend's numbers is one greater than the product of my numbers, then what is the product of my 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": "The actress who plays the physical therapist that Rafe in \"Days of Our Lives\" falls in love with is also know for her role in what other television show?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "All My Children",
"style": "rule"
}
|
{
"index": 9163,
"need_tools_kwargs": true,
"question": "The actress who plays the physical therapist that Rafe in \"Days of Our Lives\" falls in love with is also know for her role in what other television show?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Stanley Elkin and Anne Tyler from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 9164,
"need_tools_kwargs": true,
"question": "Are Stanley Elkin and Anne Tyler 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": "If I give my brother 2 marbles, I will have a certain multiple of his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. I have 16 marbles. What is the ratio of my marbles to my brother's marbles after I give him 2 marbles?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2:1",
"style": "rule"
}
|
{
"index": 9165,
"need_tools_kwargs": true,
"question": "If I give my brother 2 marbles, I will have a certain multiple of his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. I have 16 marbles. What is the ratio of my marbles to my brother's marbles after I give him 2 marbles?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Anil Srinivasan is known for his collaborative work with the grandson of which internationally acclaimed flautist?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sikkil Kunjumani",
"style": "rule"
}
|
{
"index": 9166,
"need_tools_kwargs": true,
"question": "Anil Srinivasan is known for his collaborative work with the grandson of which internationally acclaimed flautist?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If \\(\\alpha, \\beta, \\gamma\\) are the three roots of \\(x^{3}-x+1\\), determine the value of\n\n$$\n\\frac{1-\\alpha}{1+\\alpha}+\\frac{1-\\beta}{1+\\beta}+\\frac{1-\\gamma}{1+\\gamma}\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 9167,
"need_tools_kwargs": true,
"question": "If \\(\\alpha, \\beta, \\gamma\\) are the three roots of \\(x^{3}-x+1\\), determine the value of\n\n$$\n\\frac{1-\\alpha}{1+\\alpha}+\\frac{1-\\beta}{1+\\beta}+\\frac{1-\\gamma}{1+\\gamma}\n$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the character played by Sterling Knight in the American sitcom the follows the lives of characters Mel, Joe, Taylor and Nick?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Zander Carlson",
"style": "rule"
}
|
{
"index": 9168,
"need_tools_kwargs": true,
"question": "What is the name of the character played by Sterling Knight in the American sitcom the follows the lives of characters Mel, Joe, Taylor and Nick?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\(\\overline{AB}\\) be a line segment of length 2, \\(C_1\\) be the circle with diameter \\(\\overline{AB}\\), \\(C_0\\) be the circle with radius 2 externally tangent to \\(C_1\\) at \\(A\\), and \\(C_2\\) be the circle with radius 3 externally tangent to \\(C_1\\) at \\(B\\). Duck \\(D_1\\) is located at point \\(B\\), Duck \\(D_2\\) is located on \\(C_2\\), 270 degrees counterclockwise from \\(B\\), and Duck \\(D_0\\) is located on \\(C_0\\), 270 degrees counterclockwise from \\(A\\). At the same time, the ducks all start running counterclockwise around their corresponding circles, with each duck taking the same amount of time to complete a full lap around its circle. When the 3 ducks are first collinear, the distance between \\(D_0\\) and \\(D_2\\) can be expressed as \\(p\\sqrt{q}\\). Find \\(p+q\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9169,
"need_tools_kwargs": true,
"question": "Let \\(\\overline{AB}\\) be a line segment of length 2, \\(C_1\\) be the circle with diameter \\(\\overline{AB}\\), \\(C_0\\) be the circle with radius 2 externally tangent to \\(C_1\\) at \\(A\\), and \\(C_2\\) be the circle with radius 3 externally tangent to \\(C_1\\) at \\(B\\). Duck \\(D_1\\) is located at point \\(B\\), Duck \\(D_2\\) is located on \\(C_2\\), 270 degrees counterclockwise from \\(B\\), and Duck \\(D_0\\) is located on \\(C_0\\), 270 degrees counterclockwise from \\(A\\). At the same time, the ducks all start running counterclockwise around their corresponding circles, with each duck taking the same amount of time to complete a full lap around its circle. When the 3 ducks are first collinear, the distance between \\(D_0\\) and \\(D_2\\) can be expressed as \\(p\\sqrt{q}\\). Find \\(p+q\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the parametric equation of line $l$ is $\\begin{cases} & x=1+3t \\\\ & y=2-4t \\end{cases}$ (where $t$ is the parameter), calculate the cosine of the inclination angle of line $l$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{3}{5}",
"style": "rule"
}
|
{
"index": 9170,
"need_tools_kwargs": true,
"question": "Given the parametric equation of line $l$ is $\\begin{cases} & x=1+3t \\\\ & y=2-4t \\end{cases}$ (where $t$ is the parameter), calculate the cosine of the inclination angle of line $l$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ and $b$ be complex numbers satisfying the two equations\n\\begin{align*}\na^3 - 3ab^2 & = 36 \\\\\nb^3 - 3ba^2 & = 28i.\n\\end{align*}\nLet $M$ be the maximum possible magnitude of $a$. Find all $a$ such that $|a| = M$. The original answer is in the form of k, m, n, where k is an integer and m, n are complex numbers. Please give the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 9171,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be complex numbers satisfying the two equations\n\\begin{align*}\na^3 - 3ab^2 & = 36 \\\\\nb^3 - 3ba^2 & = 28i.\n\\end{align*}\nLet $M$ be the maximum possible magnitude of $a$. Find all $a$ such that $|a| = M$. The original answer is in the form of k, m, n, where k is an integer and m, n are complex numbers. Please give the value of k + m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 100-meter head start. If Cristina runs at a pace of 6 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?",
"role": "user"
}
] |
math
|
{
"ground_truth": "33\\frac{1}{3}",
"style": "rule"
}
|
{
"index": 9172,
"need_tools_kwargs": true,
"question": "Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 100-meter head start. If Cristina runs at a pace of 6 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "在菱形 ABCD 中，\\angle DAB=60^\\circ，将 \\triangle ABD 沿 BD 折起得到 \\triangle A_1BD. 若二面角 A_1-BD-C 为 60^\\circ，则异面直线 DA_1 与 BC 所成角的余弦值为_________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 9173,
"need_tools_kwargs": true,
"question": "在菱形 ABCD 中，\\angle DAB=60^\\circ，将 \\triangle ABD 沿 BD 折起得到 \\triangle A_1BD. 若二面角 A_1-BD-C 为 60^\\circ，则异面直线 DA_1 与 BC 所成角的余弦值为_________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Regular pentagon $BCDEF$ and equilateral triangle $ABC$ are coplanar, sharing the same vertex $B$. If $B$ is a vertex of both the pentagon and the triangle, find the measure of angle $CAD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6^\\circ",
"style": "rule"
}
|
{
"index": 9174,
"need_tools_kwargs": true,
"question": "Regular pentagon $BCDEF$ and equilateral triangle $ABC$ are coplanar, sharing the same vertex $B$. If $B$ is a vertex of both the pentagon and the triangle, find the measure of angle $CAD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 in Ohio?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "plant",
"style": "rule"
}
|
{
"index": 9175,
"need_tools_kwargs": true,
"question": "What is in Ohio?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a class, there are 4 lessons in one morning, and each lesson needs a teacher to teach it. Now, from 6 teachers A, B, C, D, E, F, 4 teachers are to be arranged to teach one lesson each. The first lesson can only be taught by either A or B, and the fourth lesson can only be taught by either A or C. How many different arrangement plans are there?",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 9176,
"need_tools_kwargs": true,
"question": "In a class, there are 4 lessons in one morning, and each lesson needs a teacher to teach it. Now, from 6 teachers A, B, C, D, E, F, 4 teachers are to be arranged to teach one lesson each. The first lesson can only be taught by either A or B, and the fourth lesson can only be taught by either A or C. How many different arrangement plans are there?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given \\( \\frac{1}{3} \\leqslant a \\leqslant 1 \\), if \\( f(x)=a x^{2}-2 x+1 \\) attains its maximum value \\( M(a) \\) and minimum value \\( N(a) \\) on the interval \\([1,3]\\), and let \\( g(a)=M(a)-N(a) \\), then the minimum value of \\( g(a) \\) is \\(\\quad\\) .",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 9177,
"need_tools_kwargs": true,
"question": "Given \\( \\frac{1}{3} \\leqslant a \\leqslant 1 \\), if \\( f(x)=a x^{2}-2 x+1 \\) attains its maximum value \\( M(a) \\) and minimum value \\( N(a) \\) on the interval \\([1,3]\\), and let \\( g(a)=M(a)-N(a) \\), then the minimum value of \\( g(a) \\) is \\(\\quad\\) .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If $\\sin \\alpha + \\cos \\alpha = \\frac{2\\sqrt{3}}{3}$, and $\\alpha$ is an acute angle, then $\\frac{1+\\tan \\alpha}{\\sin 2\\alpha -\\cos 2\\alpha +1}=$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 9178,
"need_tools_kwargs": true,
"question": "If $\\sin \\alpha + \\cos \\alpha = \\frac{2\\sqrt{3}}{3}$, and $\\alpha$ is an acute angle, then $\\frac{1+\\tan \\alpha}{\\sin 2\\alpha -\\cos 2\\alpha +1}=$ \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The actress that plays Jane Bennet in \"Pride & Prejudice\" co-stars with Christian Bale in a 2017 period drama directed by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Scott Cooper",
"style": "rule"
}
|
{
"index": 9179,
"need_tools_kwargs": true,
"question": "The actress that plays Jane Bennet in \"Pride & Prejudice\" co-stars with Christian Bale in a 2017 period drama directed by who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose $f(x)$ is an odd function defined on $\\mathbb{R}$, and its smallest period is $5$. If $f(2) \\geq 2$ and $f(3) = \\frac{2^{m+1}-3}{2^{m}+1}$, then the maximum value of the real number $m$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "m = -2",
"style": "rule"
}
|
{
"index": 9180,
"need_tools_kwargs": true,
"question": "Suppose $f(x)$ is an odd function defined on $\\mathbb{R}$, and its smallest period is $5$. If $f(2) \\geq 2$ and $f(3) = \\frac{2^{m+1}-3}{2^{m}+1}$, then the maximum value of the real number $m$ is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which 2013 American comedy film was Oscar Torre one of the leads in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Hangover Part III",
"style": "rule"
}
|
{
"index": 9181,
"need_tools_kwargs": true,
"question": "Which 2013 American comedy film was Oscar Torre one of the leads in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the population of Marie Battiste's First Nation?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "40,000",
"style": "rule"
}
|
{
"index": 9182,
"need_tools_kwargs": true,
"question": "What is the population of Marie Battiste's First Nation?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Maggie Waggie organizes a pile of 127 calculus tests in alphabetical order, with Joccy Woccy's test being 64th in the pile. While Maggie isn't looking, Joccy walks over and randomly scrambles the entire pile of tests. When Maggie returns, she is oblivious to the fact that Joccy has tampered with the list. She uses a binary search algorithm to find Joccy's test, where she looks at the test in the middle of the pile. If the test is not Joccy's, she binary searches the top half of the list if the test appears after Joccy's name when arranged alphabetically, or the bottom half of the list otherwise. The probability that Maggie finds Joccy's test can be expressed as $\\frac{p}{q}$. Compute $p+q$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "134",
"style": "rule"
}
|
{
"index": 9183,
"need_tools_kwargs": true,
"question": "Maggie Waggie organizes a pile of 127 calculus tests in alphabetical order, with Joccy Woccy's test being 64th in the pile. While Maggie isn't looking, Joccy walks over and randomly scrambles the entire pile of tests. When Maggie returns, she is oblivious to the fact that Joccy has tampered with the list. She uses a binary search algorithm to find Joccy's test, where she looks at the test in the middle of the pile. If the test is not Joccy's, she binary searches the top half of the list if the test appears after Joccy's name when arranged alphabetically, or the bottom half of the list otherwise. The probability that Maggie finds Joccy's test can be expressed as $\\frac{p}{q}$. Compute $p+q$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Michael Sragow edited film essays for the journalist whose autobiographical novel won what posthumous award?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1958 Pulitzer Prize",
"style": "rule"
}
|
{
"index": 9184,
"need_tools_kwargs": true,
"question": "Michael Sragow edited film essays for the journalist whose autobiographical novel won what posthumous award?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of ways to write $24$ as the sum of at least three positive integer multiples of $3$. For example, count $3 + 18 + 3$, $18 + 3 + 3$, and $3 + 6 + 3 + 9 + 3$, but not $18 + 6$ or $24$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "120",
"style": "rule"
}
|
{
"index": 9185,
"need_tools_kwargs": true,
"question": "Find the number of ways to write $24$ as the sum of at least three positive integer multiples of $3$. For example, count $3 + 18 + 3$, $18 + 3 + 3$, and $3 + 6 + 3 + 9 + 3$, but not $18 + 6$ or $24$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Kacey is handing out candy for Halloween. She has only $15$ candies left when a ghost, a goblin, and a vampire arrive at her door. She wants to give each trick-or-treater at least one candy, but she does not want to give any two the same number of candies. How many ways can she distribute all $15$ identical candies to the three trick-or-treaters given these restrictions?",
"role": "user"
}
] |
math
|
{
"ground_truth": "72",
"style": "rule"
}
|
{
"index": 9186,
"need_tools_kwargs": true,
"question": "Kacey is handing out candy for Halloween. She has only $15$ candies left when a ghost, a goblin, and a vampire arrive at her door. She wants to give each trick-or-treater at least one candy, but she does not want to give any two the same number of candies. How many ways can she distribute all $15$ identical candies to the three trick-or-treaters given these restrictions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Among the 99 positive integers from $1, 2, \\cdots, 99$, determine the minimum value of $k$ such that any selection of $k$ numbers must include at least two numbers $a$ and $b$ ($a \\neq b$) satisfying $\\frac{1}{2} \\leqslant \\frac{b}{a} \\leqslant 2$.\nA. 6\nB. 7\nC. 8\nD. 9",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 9187,
"need_tools_kwargs": true,
"question": "Among the 99 positive integers from $1, 2, \\cdots, 99$, determine the minimum value of $k$ such that any selection of $k$ numbers must include at least two numbers $a$ and $b$ ($a \\neq b$) satisfying $\\frac{1}{2} \\leqslant \\frac{b}{a} \\leqslant 2$.\nA. 6\nB. 7\nC. 8\nD. 9",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The solution set of the inequality system $\\left\\{\\begin{array}{l}2-x＞0\\\\ 2x+3＞1\\end{array}\\right.$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1 < x < 2",
"style": "rule"
}
|
{
"index": 9188,
"need_tools_kwargs": true,
"question": "The solution set of the inequality system $\\left\\{\\begin{array}{l}2-x＞0\\\\ 2x+3＞1\\end{array}\\right.$ is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jeffery Lamar Williams recorded what song released as his commercial single debut? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Stoner",
"style": "rule"
}
|
{
"index": 9189,
"need_tools_kwargs": true,
"question": "Jeffery Lamar Williams recorded what song released as his commercial single debut? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Proof (1991 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "P. J. Hogan",
"style": "rule"
}
|
{
"index": 9190,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Proof (1991 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The brother says to his sister: \"When Kolya was as old as we both are together now, you were as old as I am now. And when Kolya was as old as you are now, you were then...\" How old was the sister then?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 9191,
"need_tools_kwargs": true,
"question": "The brother says to his sister: \"When Kolya was as old as we both are together now, you were as old as I am now. And when Kolya was as old as you are now, you were then...\" How old was the sister then?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( b_n \\) be the integer obtained by writing all the integers from 1 to \\( n \\) from left to right. For example, \\( b_3 = 123 \\) and \\( b_{12} = 123456789101112 \\). Compute the remainder when \\( b_{55} \\) is divided by \\( 56 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 9192,
"need_tools_kwargs": true,
"question": "Let \\( b_n \\) be the integer obtained by writing all the integers from 1 to \\( n \\) from left to right. For example, \\( b_3 = 123 \\) and \\( b_{12} = 123456789101112 \\). Compute the remainder when \\( b_{55} \\) is divided by \\( 56 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Dr. Kildare'S Strange Case die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 9193,
"need_tools_kwargs": true,
"question": "Where did the director of film Dr. Kildare'S Strange Case die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did Mauger (Archbishop Of Rouen)'s father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 August 1026",
"style": "rule"
}
|
{
"index": 9194,
"need_tools_kwargs": true,
"question": "When did Mauger (Archbishop Of Rouen)'s father die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Carl wrote a list of 10 distinct positive integers on a board. Each integer in the list, apart from the first, is a multiple of the previous integer. The last of the 10 integers is between 600 and 1000. What is this last integer?\nA) 640\nB) 729\nC) 768\nD) 840\nE) 990",
"role": "user"
}
] |
math
|
{
"ground_truth": "768",
"style": "rule"
}
|
{
"index": 9195,
"need_tools_kwargs": true,
"question": "Carl wrote a list of 10 distinct positive integers on a board. Each integer in the list, apart from the first, is a multiple of the previous integer. The last of the 10 integers is between 600 and 1000. What is this last integer?\nA) 640\nB) 729\nC) 768\nD) 840\nE) 990",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films Part Time Wife and Believers (Film) share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 9196,
"need_tools_kwargs": true,
"question": "Do both directors of films Part Time Wife and Believers (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": "Who founded a utopian experiment which was inspired by the ideals of a philosophical movement developed in the late 1820s and 1830s?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "George Ripley",
"style": "rule"
}
|
{
"index": 9197,
"need_tools_kwargs": true,
"question": "Who founded a utopian experiment which was inspired by the ideals of a philosophical movement developed in the late 1820s and 1830s?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 coordinates of the center of the circle described by the equation $x^2 + y^2 - x + 2y = 0$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( \\frac{1}{2}, -1 \\right)",
"style": "rule"
}
|
{
"index": 9198,
"need_tools_kwargs": true,
"question": "Find the coordinates of the center of the circle described by the equation $x^2 + y^2 - x + 2y = 0$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a tournament with $8$ players, each pair of players played exactly one match. Each match ended either with a win for one player, who received $2$ points while the opponent received $0$ points, or in a draw, where both players received $1$ point each. After all matches were completed, it was found that every player had the same number of points. Determine the minimal total number of draws.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 9199,
"need_tools_kwargs": true,
"question": "In a tournament with $8$ players, each pair of players played exactly one match. Each match ended either with a win for one player, who received $2$ points while the opponent received $0$ points, or in a draw, where both players received $1$ point each. After all matches were completed, it was found that every player had the same number of points. Determine the minimal total number of draws.",
"split": "train"
}
| null |
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