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": "Which Australian rock journalist and critic wrote the compendium of notable popular recordings which he considers are \"the great songs of all time\", including one by the American singer songwriter whose debut album was \"Songs in A Minor\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Toby Creswell",
"style": "rule"
}
|
{
"index": 4800,
"need_tools_kwargs": true,
"question": "Which Australian rock journalist and critic wrote the compendium of notable popular recordings which he considers are \"the great songs of all time\", including one by the American singer songwriter whose debut album was \"Songs in A Minor\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the composer of film Thaai Sollai Thattadhe?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 June 2001",
"style": "rule"
}
|
{
"index": 4801,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Thaai Sollai Thattadhe?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 first performance of the opera \"Lord Byron\" was choreophraphed by a man that was awarded the Spingarn Medal in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1977",
"style": "rule"
}
|
{
"index": 4802,
"need_tools_kwargs": true,
"question": "The first performance of the opera \"Lord Byron\" was choreophraphed by a man that was awarded the Spingarn Medal in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was George Gaynes's wife born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 1, 1926",
"style": "rule"
}
|
{
"index": 4803,
"need_tools_kwargs": true,
"question": "When was George Gaynes's wife born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both director of film Grey Lady (Film) and director of film Happy Endings? from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 4804,
"need_tools_kwargs": true,
"question": "Are both director of film Grey Lady (Film) and director of film Happy Endings? from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of films Night Life of New York and Black Journal both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4805,
"need_tools_kwargs": true,
"question": "Are the directors of films Night Life of New York and Black Journal both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "what is the surface area of the lagoon southwest of Dreverna",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1,619 km2",
"style": "rule"
}
|
{
"index": 4806,
"need_tools_kwargs": true,
"question": "what is the surface area of the lagoon southwest of Dreverna",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Three generous friends, each of whom has candies, redistribute them as follows: Vasya gives part of his candies to Petya and Kolya, thereby doubling the number of candies they have. After that, Petya gives part of his candies to Kolya and Vasya, thereby doubling the number of candies they have as well. Finally, Kolya gives part of his candies to Vasya and Petya, whose counts also double. It turned out that Kolya had 36 candies both at the beginning and at the end. How many candies do the boys have in total?",
"role": "user"
}
] |
math
|
{
"ground_truth": "252",
"style": "rule"
}
|
{
"index": 4807,
"need_tools_kwargs": true,
"question": "Three generous friends, each of whom has candies, redistribute them as follows: Vasya gives part of his candies to Petya and Kolya, thereby doubling the number of candies they have. After that, Petya gives part of his candies to Kolya and Vasya, thereby doubling the number of candies they have as well. Finally, Kolya gives part of his candies to Vasya and Petya, whose counts also double. It turned out that Kolya had 36 candies both at the beginning and at the end. How many candies do the boys have in total?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the cause of death of director of film Escape From The Dark?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "prostate cancer",
"style": "rule"
}
|
{
"index": 4808,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Escape From The Dark?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film Magic Man (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hoboken",
"style": "rule"
}
|
{
"index": 4809,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Magic Man (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 sequence 2, 3, 5, 6, 7, 10, 11, $\\ldots$ contains all the positive integers from least to greatest that are neither squares nor cubes. What is the $400^{\\mathrm{th}}$ term of the sequence?",
"role": "user"
}
] |
math
|
{
"ground_truth": "425",
"style": "rule"
}
|
{
"index": 4810,
"need_tools_kwargs": true,
"question": "The sequence 2, 3, 5, 6, 7, 10, 11, $\\ldots$ contains all the positive integers from least to greatest that are neither squares nor cubes. What is the $400^{\\mathrm{th}}$ term of the sequence?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the mother of Princess Nejla Bint Asem born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Amman",
"style": "rule"
}
|
{
"index": 4811,
"need_tools_kwargs": true,
"question": "Where was the mother of Princess Nejla Bint Asem born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film whose director is younger, Collegiate (1926 Film) or The Chronicles Of Riddick?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Chronicles Of Riddick",
"style": "rule"
}
|
{
"index": 4812,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Collegiate (1926 Film) or The Chronicles Of Riddick?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 am thinking of a five-digit number composed of even digits. If I swap the digit in the third position with any other digit, the number becomes smaller. Additionally, the first digit is double the last, and the second digit is double the second to last.\n\nWhat number am I thinking of?\n\n(M. Mach)\n\nHint: Can you compare the third digit with the others?",
"role": "user"
}
] |
math
|
{
"ground_truth": "88644",
"style": "rule"
}
|
{
"index": 4813,
"need_tools_kwargs": true,
"question": "I am thinking of a five-digit number composed of even digits. If I swap the digit in the third position with any other digit, the number becomes smaller. Additionally, the first digit is double the last, and the second digit is double the second to last.\n\nWhat number am I thinking of?\n\n(M. Mach)\n\nHint: Can you compare the third digit with the others?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 star of Remedy was born April 15, 1937?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Frank Vincent",
"style": "rule"
}
|
{
"index": 4814,
"need_tools_kwargs": true,
"question": "What star of Remedy was born April 15, 1937?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 propositions p and q: \n\n- Proposition p: The range of the function $y=\\log_{0.5}(x^2+2x+a)$ is $\\mathbb{R}$.\n- Proposition q: The function $y=-(5-2a)^x$ is a decreasing function.\n\nIf either p or q is true, but not both, then the range of the real number $a$ is?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1<a<2",
"style": "rule"
}
|
{
"index": 4815,
"need_tools_kwargs": true,
"question": "Given propositions p and q: \n\n- Proposition p: The range of the function $y=\\log_{0.5}(x^2+2x+a)$ is $\\mathbb{R}$.\n- Proposition q: The function $y=-(5-2a)^x$ is a decreasing function.\n\nIf either p or q is true, but not both, then the range of the real number $a$ is?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Caroline Paulus's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2 March 1991",
"style": "rule"
}
|
{
"index": 4816,
"need_tools_kwargs": true,
"question": "What is the date of death of Caroline Paulus's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many ordered pairs of positive integers $(x,y)$ are there such that $y^2-x^2=2y+7x+4$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 4817,
"need_tools_kwargs": true,
"question": "How many ordered pairs of positive integers $(x,y)$ are there such that $y^2-x^2=2y+7x+4$?",
"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": "\"High Maintenance\" is a song that features the lead vocalist of a band that has sold 9.2 million what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "albums in the US",
"style": "rule"
}
|
{
"index": 4818,
"need_tools_kwargs": true,
"question": "\"High Maintenance\" is a song that features the lead vocalist of a band that has sold 9.2 million 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": "Where was the director of film 100 Meters born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Barcelona",
"style": "rule"
}
|
{
"index": 4819,
"need_tools_kwargs": true,
"question": "Where was the director of film 100 Meters born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do Finn Nygaard and Mei Li Vos share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4820,
"need_tools_kwargs": true,
"question": "Do Finn Nygaard and Mei Li Vos 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": "Convert the point $(2 \\sqrt{3}, 6, -4)$ in rectangular coordinates to spherical coordinates. Enter your answer in the form $(\\rho,\\theta,\\phi),$ where $\\rho > 0,$ $0 \\le \\theta < 2 \\pi,$ and $0 \\le \\phi \\le \\pi.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( 8, \\frac{\\pi}{3}, \\frac{2 \\pi}{3} \\right)",
"style": "rule"
}
|
{
"index": 4821,
"need_tools_kwargs": true,
"question": "Convert the point $(2 \\sqrt{3}, 6, -4)$ in rectangular coordinates to spherical coordinates. Enter your answer in the form $(\\rho,\\theta,\\phi),$ where $\\rho > 0,$ $0 \\le \\theta < 2 \\pi,$ and $0 \\le \\phi \\le \\pi.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 5 movie tickets numbered 1, 2, 3, 4, 5 to be distributed among four people: A, B, C, and D. Each person should receive at least one ticket and a maximum of two tickets. If two tickets are distributed to a person, they must be consecutive numbers. How many different ways can the tickets be distributed?",
"role": "user"
}
] |
math
|
{
"ground_truth": "96",
"style": "rule"
}
|
{
"index": 4822,
"need_tools_kwargs": true,
"question": "There are 5 movie tickets numbered 1, 2, 3, 4, 5 to be distributed among four people: A, B, C, and D. Each person should receive at least one ticket and a maximum of two tickets. If two tickets are distributed to a person, they must be consecutive numbers. How many different ways can the tickets be distributed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "若 $a^{2}(b+c)=b^{2}(a+c)=1(a \\neq b)$ ，则 $(a+b) c^{2}-a b c$ 的值为多少？",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4823,
"need_tools_kwargs": true,
"question": "若 $a^{2}(b+c)=b^{2}(a+c)=1(a \\neq b)$ ，则 $(a+b) c^{2}-a b c$ 的值为多少？",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Four cats, four dogs, and four mice are placed in 12 cages. If a cat and a mouse are in the same column, the cat will meow non-stop; if a mouse is surrounded by two cats on both sides, the mouse will squeak non-stop; if a dog is flanked by a cat and a mouse, the dog will bark non-stop. In other cases, the animals remain silent. One day, the cages numbered 3, 4, 6, 7, 8, and 9 are very noisy, while the other cages are quiet. What is the sum of the cage numbers that contain the four dogs?",
"role": "user"
}
] |
math
|
{
"ground_truth": "28",
"style": "rule"
}
|
{
"index": 4824,
"need_tools_kwargs": true,
"question": "Four cats, four dogs, and four mice are placed in 12 cages. If a cat and a mouse are in the same column, the cat will meow non-stop; if a mouse is surrounded by two cats on both sides, the mouse will squeak non-stop; if a dog is flanked by a cat and a mouse, the dog will bark non-stop. In other cases, the animals remain silent. One day, the cages numbered 3, 4, 6, 7, 8, and 9 are very noisy, while the other cages are quiet. What is the sum of the cage numbers that contain the four dogs?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Eva Menasse's husband born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 July 1961",
"style": "rule"
}
|
{
"index": 4825,
"need_tools_kwargs": true,
"question": "When was Eva Menasse's husband born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The logarithmic spiral was investigated by the mathematician who was a proponent of which branch of mathematics?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leibnizian calculus",
"style": "rule"
}
|
{
"index": 4826,
"need_tools_kwargs": true,
"question": "The logarithmic spiral was investigated by the mathematician who was a proponent of which branch of mathematics?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 crazy physicist has discovered a new particle called an emon. He starts with two emons in the plane, situated a distance $1$ from each other. He also has a crazy machine which can take any two emons and create a third one in the plane such that the three emons lie at the vertices of an equilateral triangle. After he has five total emons, let $P$ be the product of the $\\binom{5}{2} = 10$ distances between the $10$ pairs of emons. Find the greatest possible value of $P^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "108",
"style": "rule"
}
|
{
"index": 4827,
"need_tools_kwargs": true,
"question": "A crazy physicist has discovered a new particle called an emon. He starts with two emons in the plane, situated a distance $1$ from each other. He also has a crazy machine which can take any two emons and create a third one in the plane such that the three emons lie at the vertices of an equilateral triangle. After he has five total emons, let $P$ be the product of the $\\binom{5}{2} = 10$ distances between the $10$ pairs of emons. Find the greatest possible value of $P^2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both The Bachelors (2017 Film) and Age Jodi Jantam Tui Hobi Por from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4828,
"need_tools_kwargs": true,
"question": "Are both The Bachelors (2017 Film) and Age Jodi Jantam Tui Hobi Por from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given $i$ as the imaginary unit, which of the following statements is correct?\n\nA: $i+i^{2}+i^{3}+i^{4}=0$\n\nB: $2+i \\gt 1+i$\n\nC: If $z=\\left(1-2i\\right)^{2}$, then the point corresponding to $z$ in the complex plane is located in the fourth quadrant\n\nD: Given a complex number $z$ satisfying $|z|=2$, the set of points corresponding to the complex number $z$ is a circle centered at $O$ with a radius of $2$",
"role": "user"
}
] |
math
|
{
"ground_truth": "AD",
"style": "rule"
}
|
{
"index": 4829,
"need_tools_kwargs": true,
"question": "Given $i$ as the imaginary unit, which of the following statements is correct?\n\nA: $i+i^{2}+i^{3}+i^{4}=0$\n\nB: $2+i \\gt 1+i$\n\nC: If $z=\\left(1-2i\\right)^{2}$, then the point corresponding to $z$ in the complex plane is located in the fourth quadrant\n\nD: Given a complex number $z$ satisfying $|z|=2$, the set of points corresponding to the complex number $z$ is a circle centered at $O$ with a radius of $2$",
"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": "Express the set of angles with the same terminal side as angle $150^{\\circ}$ in radian measure as $(\\quad \\quad)$.\nA: $\\\\{β|β=- \\dfrac {5π}{6}+2kπ,k∈Z\\\\}$\nB: $\\\\{β|β= \\dfrac {5π}{6}+k⋅360^{\\circ},k∈Z\\\\}$\nC: $\\\\{β|β= \\dfrac {2π}{3}+2kπ,k∈Z\\\\}$\nD: $\\\\{β|β= \\dfrac {5π}{6}+2kπ,k∈Z\\\\}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\\\{β|β= \\dfrac {5π}{6}+2kπ,k∈Z\\\\}",
"style": "rule"
}
|
{
"index": 4830,
"need_tools_kwargs": true,
"question": "Express the set of angles with the same terminal side as angle $150^{\\circ}$ in radian measure as $(\\quad \\quad)$.\nA: $\\\\{β|β=- \\dfrac {5π}{6}+2kπ,k∈Z\\\\}$\nB: $\\\\{β|β= \\dfrac {5π}{6}+k⋅360^{\\circ},k∈Z\\\\}$\nC: $\\\\{β|β= \\dfrac {2π}{3}+2kπ,k∈Z\\\\}$\nD: $\\\\{β|β= \\dfrac {5π}{6}+2kπ,k∈Z\\\\}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "正实数 \\(u, v, w\\) 均不等于 1, 若 \\(\\log _{u}(v w)+\\log _{v} w=5, \\log _{v} u+\\log _{w} v=3\\)，则 \\(\\log _{w} u\\) 的值为 \\(\\frac{k}{m}\\)，请计算\\(k+m\\)的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 4831,
"need_tools_kwargs": true,
"question": "正实数 \\(u, v, w\\) 均不等于 1, 若 \\(\\log _{u}(v w)+\\log _{v} w=5, \\log _{v} u+\\log _{w} v=3\\)，则 \\(\\log _{w} u\\) 的值为 \\(\\frac{k}{m}\\)，请计算\\(k+m\\)的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle ABC$, the coordinates of point $A$ are $(\\sqrt{3}, 3)$, the equation of the median $CM$ on side $AB$ is $5\\sqrt{3}x + 9y - 18 = 0$, and the equation of the angle bisector $BT$ on $\\angle B$ is $y = 1$. Find:\n\n1. The coordinates of vertex $B$;\n2. The area of $\\triangle ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8\\sqrt{3}",
"style": "rule"
}
|
{
"index": 4832,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, the coordinates of point $A$ are $(\\sqrt{3}, 3)$, the equation of the median $CM$ on side $AB$ is $5\\sqrt{3}x + 9y - 18 = 0$, and the equation of the angle bisector $BT$ on $\\angle B$ is $y = 1$. Find:\n\n1. The coordinates of vertex $B$;\n2. The area of $\\triangle ABC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The musician also known as \"Braddah Iz\" is a member of what Hawaiian musical group?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mākaha Sons",
"style": "rule"
}
|
{
"index": 4833,
"need_tools_kwargs": true,
"question": "The musician also known as \"Braddah Iz\" is a member of what Hawaiian musical group?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 radius of circle \\( \\odot O \\) is 1, and the quadrilateral \\( ABCD \\) is an inscribed square within this circle, with \\( EF \\) being a diameter of \\( \\odot O \\). Let \\( M \\) be a point moving along the boundary of the square \\( ABCD \\). Determine the minimum value of the dot product \\( \\overrightarrow{ME} \\cdot \\overrightarrow{MF} \\), where \\( E \\) and \\( F \\) are the endpoints of the diameter.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 4834,
"need_tools_kwargs": true,
"question": "Given that the radius of circle \\( \\odot O \\) is 1, and the quadrilateral \\( ABCD \\) is an inscribed square within this circle, with \\( EF \\) being a diameter of \\( \\odot O \\). Let \\( M \\) be a point moving along the boundary of the square \\( ABCD \\). Determine the minimum value of the dot product \\( \\overrightarrow{ME} \\cdot \\overrightarrow{MF} \\), where \\( E \\) and \\( F \\) are the endpoints of the diameter.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the performer of song Tell Me, Momma?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 4835,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Tell Me, Momma?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the right triangle \\(ABC\\) where \\(\\angle B = 90^\\circ\\), point \\(P\\) lies on the angle bisector of \\(\\angle A\\) inside the triangle. Point \\(M\\) is located on the side \\(AB\\) (distinct from points \\(A\\) and \\(B\\)). The lines \\(AP\\), \\(CP\\), and \\(MP\\) intersect the sides \\(BC\\), \\(AB\\), and \\(AC\\) at points \\(D\\), \\(E\\), and \\(N\\) respectively. Given that \\(\\angle MPB = \\angle PCN\\) and \\(\\angle NPC = \\angle MBP\\), determine the ratio of the area of triangle \\(APC\\) to the area of quadrilateral \\(ACDE\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 4836,
"need_tools_kwargs": true,
"question": "In the right triangle \\(ABC\\) where \\(\\angle B = 90^\\circ\\), point \\(P\\) lies on the angle bisector of \\(\\angle A\\) inside the triangle. Point \\(M\\) is located on the side \\(AB\\) (distinct from points \\(A\\) and \\(B\\)). The lines \\(AP\\), \\(CP\\), and \\(MP\\) intersect the sides \\(BC\\), \\(AB\\), and \\(AC\\) at points \\(D\\), \\(E\\), and \\(N\\) respectively. Given that \\(\\angle MPB = \\angle PCN\\) and \\(\\angle NPC = \\angle MBP\\), determine the ratio of the area of triangle \\(APC\\) to the area of quadrilateral \\(ACDE\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Each of two regular polygons $P$ and $Q$ was divided by a line into two parts. One part of $P$ was attached to one part of $Q$ along the dividing line so that the resulting polygon was regular and not congruent to $P$ or $Q$. How many sides can it have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 4837,
"need_tools_kwargs": true,
"question": "Each of two regular polygons $P$ and $Q$ was divided by a line into two parts. One part of $P$ was attached to one part of $Q$ along the dividing line so that the resulting polygon was regular and not congruent to $P$ or $Q$. How many sides can it have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "if both 112 and 33 are factors of the number a * 43 * 62 * 1311 , then what is the smallest possible value of a ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1848",
"style": "rule"
}
|
{
"index": 4838,
"need_tools_kwargs": true,
"question": "if both 112 and 33 are factors of the number a * 43 * 62 * 1311 , then what is the smallest possible value of a ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year did the network, in which Sal Paolantonio replaced was the original anchors for, launch?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1993",
"style": "rule"
}
|
{
"index": 4839,
"need_tools_kwargs": true,
"question": "What year did the network, in which Sal Paolantonio replaced was the original anchors for, launch?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 directed and co-wrote the film \"Forget to Remember\" was first featured in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Darren Lynn Bousman",
"style": "rule"
}
|
{
"index": 4840,
"need_tools_kwargs": true,
"question": "Who directed and co-wrote the film \"Forget to Remember\" was first featured 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": "Vasya wrote a note on a piece of paper, folded it four times, and wrote \"MAME\" on top. Then he unfolded the note, wrote something else, folded it again along the crease lines in a random order (not necessarily as before), and left it on the table with a random side up. Find the probability that the inscription \"MAME\" is still on top.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{8}",
"style": "rule"
}
|
{
"index": 4841,
"need_tools_kwargs": true,
"question": "Vasya wrote a note on a piece of paper, folded it four times, and wrote \"MAME\" on top. Then he unfolded the note, wrote something else, folded it again along the crease lines in a random order (not necessarily as before), and left it on the table with a random side up. Find the probability that the inscription \"MAME\" is still on top.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $3 \\times 6$ array of cards numbered from 1 to 18 is laid out on a table. The cards are folded in half three times according to the following sequence: \n1. Fold the left third over the middle third.\n2. Fold the right third over the now overlapping left and middle thirds.\n3. Fold the bottom half over the top half. \n\nAfter performing all these folds, which numbered card is on top?",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 4842,
"need_tools_kwargs": true,
"question": "A $3 \\times 6$ array of cards numbered from 1 to 18 is laid out on a table. The cards are folded in half three times according to the following sequence: \n1. Fold the left third over the middle third.\n2. Fold the right third over the now overlapping left and middle thirds.\n3. Fold the bottom half over the top half. \n\nAfter performing all these folds, which numbered card is on top?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are director of film Manoranjan and director of film I Will, I Will... For Now both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4843,
"need_tools_kwargs": true,
"question": "Are director of film Manoranjan and director of film I Will, I Will... For Now both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For what values of \\(a\\) does the inequality \\(\\log _{\\frac{1}{4}}\\left(\\sqrt{x^{2}+a x+5}+1\\right) \\cdot \\log _{5}\\left(x^{2}+a x+6\\right)+\\log _{a} 3 \\geqslant 0\\) have exactly one solution?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4844,
"need_tools_kwargs": true,
"question": "For what values of \\(a\\) does the inequality \\(\\log _{\\frac{1}{4}}\\left(\\sqrt{x^{2}+a x+5}+1\\right) \\cdot \\log _{5}\\left(x^{2}+a x+6\\right)+\\log _{a} 3 \\geqslant 0\\) have exactly one solution?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 domains of functions $f(x)$ and $g(x)$ are both $\\mathbb{R}$, and $f(x) + g(2-x) = 5$, $g(x) - f(x-4) = 7$. If the graph of $y = g(x)$ is symmetric about the line $x = 2$, $g(2) = 4$, find the sum of the values of $f(k)$ from $k=1$ to $k=22$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-24",
"style": "rule"
}
|
{
"index": 4845,
"need_tools_kwargs": true,
"question": "Given that the domains of functions $f(x)$ and $g(x)$ are both $\\mathbb{R}$, and $f(x) + g(2-x) = 5$, $g(x) - f(x-4) = 7$. If the graph of $y = g(x)$ is symmetric about the line $x = 2$, $g(2) = 4$, find the sum of the values of $f(k)$ from $k=1$ to $k=22$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 visitors did the park where the Parrot Coaster is see in 2015?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "7.5 million",
"style": "rule"
}
|
{
"index": 4846,
"need_tools_kwargs": true,
"question": "How many visitors did the park where the Parrot Coaster is see in 2015?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "一个六面体的各个面和一个正八面体的各个面都是边长为 $a$ 的正三角形，这样两个多面体的内切球半径之比是一个既约分数 $\\frac{m}{n}$ ，那么积 $m \\cdot n$ 是 $\\qquad$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 4847,
"need_tools_kwargs": true,
"question": "一个六面体的各个面和一个正八面体的各个面都是边长为 $a$ 的正三角形，这样两个多面体的内切球半径之比是一个既约分数 $\\frac{m}{n}$ ，那么积 $m \\cdot n$ 是 $\\qquad$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who has released ten albums and three compilation albums and was a coach on the sixth season of the Russian reality talent show on Channel One?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leonid Nikolayevich Agutin",
"style": "rule"
}
|
{
"index": 4848,
"need_tools_kwargs": true,
"question": "Who has released ten albums and three compilation albums and was a coach on the sixth season of the Russian reality talent show on Channel One?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 line passing through the left focus $F_1$ of a hyperbola and perpendicular to the real axis of the hyperbola intersects the hyperbola at points $A$ and $B$. If there exists a point $C$ on the line of the imaginary axis of the hyperbola such that $\\vec{AC} \\cdot \\vec{BC} = 0$, then the range of the eccentricity $e$ of the hyperbola is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "e \\geqslant \\frac{\\sqrt{5} + 1}{2}",
"style": "rule"
}
|
{
"index": 4849,
"need_tools_kwargs": true,
"question": "A line passing through the left focus $F_1$ of a hyperbola and perpendicular to the real axis of the hyperbola intersects the hyperbola at points $A$ and $B$. If there exists a point $C$ on the line of the imaginary axis of the hyperbola such that $\\vec{AC} \\cdot \\vec{BC} = 0$, then the range of the eccentricity $e$ of the hyperbola 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": "Circle $X$ has a radius of $\\pi$. Circle $Y$ has a circumference of $8 \\pi$. Circle $Z$ has an area of $9 \\pi$. List the circles in order from smallest to the largest radius. \n$\\textbf{(A)}\\ X, Y, Z\\qquad\\textbf{(B)}\\ Z, X, Y\\qquad\\textbf{(C)}\\ Y, X, Z\\qquad\\textbf{(D)}\\ Z, Y, X\\qquad\\textbf{(E)}\\ X, Z, Y$",
"role": "user"
}
] |
math
|
{
"ground_truth": "Z, X, Y",
"style": "rule"
}
|
{
"index": 4850,
"need_tools_kwargs": true,
"question": "Circle $X$ has a radius of $\\pi$. Circle $Y$ has a circumference of $8 \\pi$. Circle $Z$ has an area of $9 \\pi$. List the circles in order from smallest to the largest radius. \n$\\textbf{(A)}\\ X, Y, Z\\qquad\\textbf{(B)}\\ Z, X, Y\\qquad\\textbf{(C)}\\ Y, X, Z\\qquad\\textbf{(D)}\\ Z, Y, X\\qquad\\textbf{(E)}\\ X, Z, Y$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If $10$ divides the number $1\\cdot2^1+2\\cdot2^2+3\\cdot2^3+\\dots+n\\cdot2^n$ , what is the least integer $n\\geq 2012$ ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2014",
"style": "rule"
}
|
{
"index": 4851,
"need_tools_kwargs": true,
"question": "If $10$ divides the number $1\\cdot2^1+2\\cdot2^2+3\\cdot2^3+\\dots+n\\cdot2^n$ , what is the least integer $n\\geq 2012$ ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 of the letters in MATHCOUNTS have a horizontal line of symmetry?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4852,
"need_tools_kwargs": true,
"question": "How many of the letters in MATHCOUNTS have a horizontal line of symmetry?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 director of film The Phantom Rider (Universal Serial) and director of film Jeewan Hathi from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4853,
"need_tools_kwargs": true,
"question": "Are both director of film The Phantom Rider (Universal Serial) and director of film Jeewan Hathi 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": "Determine all positive integers $n{}$ for which there exist pairwise distinct integers $a_1,\\ldots,a_n{}$ and $b_1,\\ldots, b_n$ such that \\[\\prod_{i=1}^n(a_k^2+a_ia_k+b_i)=\\prod_{i=1}^n(b_k^2+a_ib_k+b_i)=0, \\quad \\forall k=1,\\ldots,n.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4854,
"need_tools_kwargs": true,
"question": "Determine all positive integers $n{}$ for which there exist pairwise distinct integers $a_1,\\ldots,a_n{}$ and $b_1,\\ldots, b_n$ such that \\[\\prod_{i=1}^n(a_k^2+a_ia_k+b_i)=\\prod_{i=1}^n(b_k^2+a_ib_k+b_i)=0, \\quad \\forall k=1,\\ldots,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": "Find the set of solutions for $x$ in the inequality $\\dfrac{x+1}{x+2}>\\dfrac{3x+4}{2x+9}$ when $x\\neq 2$, $x\\neq -\\dfrac{9}{2}$. The original answer is in the form \\left[\\frac{a}{b}, -c\\right] \\cup \\left(\\frac{d-\\sqrt{e}}{f}, \\frac{g+\\sqrt{h}}{i}\\right), where a, b, c, d, e, f, g, h, and i are integers with the given conditions. Please give the value of a+b+c+d+e+f+g+h+i.",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 4855,
"need_tools_kwargs": true,
"question": "Find the set of solutions for $x$ in the inequality $\\dfrac{x+1}{x+2}>\\dfrac{3x+4}{2x+9}$ when $x\\neq 2$, $x\\neq -\\dfrac{9}{2}$. The original answer is in the form \\left[\\frac{a}{b}, -c\\right] \\cup \\left(\\frac{d-\\sqrt{e}}{f}, \\frac{g+\\sqrt{h}}{i}\\right), where a, b, c, d, e, f, g, h, and i are integers with the given conditions. Please give the value of a+b+c+d+e+f+g+h+i.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 large cube is constructed by stacking 64 smaller unit cubes in a 4x4x4 arrangement. A plane is perpendicular to one of the internal diagonals of this larger cube and bisects that diagonal. Determine how many unit cubes the plane intersects.",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 4856,
"need_tools_kwargs": true,
"question": "A large cube is constructed by stacking 64 smaller unit cubes in a 4x4x4 arrangement. A plane is perpendicular to one of the internal diagonals of this larger cube and bisects that diagonal. Determine how many unit cubes the plane intersects.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 station is near \"The Giant Egg\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tiananmen West Station",
"style": "rule"
}
|
{
"index": 4857,
"need_tools_kwargs": true,
"question": "What station is near \"The Giant Egg\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first, Aaron Katz or Jim Sharman?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James David Sharman",
"style": "rule"
}
|
{
"index": 4858,
"need_tools_kwargs": true,
"question": "Who was born first, Aaron Katz or Jim Sharman?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Bostonian was the founder of the company that originally published Prince of Persia?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Douglas Gene Carlston",
"style": "rule"
}
|
{
"index": 4859,
"need_tools_kwargs": true,
"question": "What Bostonian was the founder of the company that originally published Prince of Persia?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given $f(x)=x^{3}+ax^{2}+bx+a^{2}$, the extreme value at $x=1$ is $10$. Find the value of $a+b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-7",
"style": "rule"
}
|
{
"index": 4860,
"need_tools_kwargs": true,
"question": "Given $f(x)=x^{3}+ax^{2}+bx+a^{2}$, the extreme value at $x=1$ is $10$. Find the value of $a+b$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what corner of Missouri is radio station WMBH located?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "southwestern",
"style": "rule"
}
|
{
"index": 4861,
"need_tools_kwargs": true,
"question": "In what corner of Missouri is radio station WMBH located?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 largest value of $n$ less than 100,000 for which the expression $10(n-3)^5 - n^2 + 20n - 30$ is a multiple of 7?",
"role": "user"
}
] |
math
|
{
"ground_truth": "99999",
"style": "rule"
}
|
{
"index": 4862,
"need_tools_kwargs": true,
"question": "What is the largest value of $n$ less than 100,000 for which the expression $10(n-3)^5 - n^2 + 20n - 30$ is a multiple of 7?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 scarface actor was also in the movie The Abandoned?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mark Margolis",
"style": "rule"
}
|
{
"index": 4863,
"need_tools_kwargs": true,
"question": "What scarface actor was also in the movie The Abandoned?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cat broke into a wine store at night. It jumped onto a shelf where wine bottles were arranged in a long row - the first third of bottles were priced at 160 CZK each, the next third were priced at 130 CZK each, and the last third at 100 CZK each. First, the cat knocked over a bottle priced at 160 CZK, which was at the very beginning of the row, and then continued knocking over one bottle after another without skipping any. It knocked down a total of 25 bottles before it stopped. In the morning, the owner regretted that the cat did not start its rampage from the other end of the shelf. If it had broken the same number of bottles from the other end, the damage would have been 660 CZK less. How many bottles were originally on the shelf?",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 4864,
"need_tools_kwargs": true,
"question": "A cat broke into a wine store at night. It jumped onto a shelf where wine bottles were arranged in a long row - the first third of bottles were priced at 160 CZK each, the next third were priced at 130 CZK each, and the last third at 100 CZK each. First, the cat knocked over a bottle priced at 160 CZK, which was at the very beginning of the row, and then continued knocking over one bottle after another without skipping any. It knocked down a total of 25 bottles before it stopped. In the morning, the owner regretted that the cat did not start its rampage from the other end of the shelf. If it had broken the same number of bottles from the other end, the damage would have been 660 CZK less. How many bottles were originally on the shelf?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a monic polynomial of degree $4,$ in $x,$ with rational coefficients such that $\\sqrt{2} +\\sqrt{3}$ is a root of the polynomial.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x^4-10x^2+1",
"style": "rule"
}
|
{
"index": 4865,
"need_tools_kwargs": true,
"question": "Find a monic polynomial of degree $4,$ in $x,$ with rational coefficients such that $\\sqrt{2} +\\sqrt{3}$ is a root of the polynomial.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 : b = 5 : 4 \\), \\( b : c = 3 : x \\), and \\( a : c = y : 4 \\), find \\( y \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 4866,
"need_tools_kwargs": true,
"question": "In \\( a : b = 5 : 4 \\), \\( b : c = 3 : x \\), and \\( a : c = y : 4 \\), find \\( y \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do Kerry Mccoy (Musician) and Misty Jannat have the same occupation?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4867,
"need_tools_kwargs": true,
"question": "Do Kerry Mccoy (Musician) and Misty Jannat have the same occupation?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 1954–55 Ashes series consisted of an Australian team led by the cricketer who played how many test matches?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"index": 4868,
"need_tools_kwargs": true,
"question": "The 1954–55 Ashes series consisted of an Australian team led by the cricketer who played how many test matches?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 state is Cape Cod located in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "MA",
"style": "rule"
}
|
{
"index": 4869,
"need_tools_kwargs": true,
"question": "What state is Cape Cod located 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 country of origin does Charmed and Alyssa Milano have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 4870,
"need_tools_kwargs": true,
"question": "What country of origin does Charmed and Alyssa Milano 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": "The great-great-grandfather of current head of the House of Hohenzollern held what official title?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kaiser",
"style": "rule"
}
|
{
"index": 4871,
"need_tools_kwargs": true,
"question": "The great-great-grandfather of current head of the House of Hohenzollern held what official title?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 chorus performance, there are 6 female singers (including 1 lead singer) and 2 male singers arranged in two rows.\n(1) If there are 4 people per row, how many different arrangements are possible?\n(2) If the lead singer stands in the front row and the male singers stand in the back row, with again 4 people per row, how many different arrangements are possible?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5760",
"style": "rule"
}
|
{
"index": 4872,
"need_tools_kwargs": true,
"question": "In a chorus performance, there are 6 female singers (including 1 lead singer) and 2 male singers arranged in two rows.\n(1) If there are 4 people per row, how many different arrangements are possible?\n(2) If the lead singer stands in the front row and the male singers stand in the back row, with again 4 people per row, how many different arrangements are possible?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 main industry of the town that has a ruined L-plan keep in an ancient Scottish village?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "fishing",
"style": "rule"
}
|
{
"index": 4873,
"need_tools_kwargs": true,
"question": "What is the main industry of the town that has a ruined L-plan keep in an ancient Scottish village?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given $f(x) = \\frac{x^2 + 33}{x}, (x \\in \\mathbb{N}^*)$, find the minimum value of $f(x)$ in its domain.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{23}{2}",
"style": "rule"
}
|
{
"index": 4874,
"need_tools_kwargs": true,
"question": "Given $f(x) = \\frac{x^2 + 33}{x}, (x \\in \\mathbb{N}^*)$, find the minimum value of $f(x)$ in its domain.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 series of settlements celebrated their feast day on 30 September?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Deepings",
"style": "rule"
}
|
{
"index": 4875,
"need_tools_kwargs": true,
"question": "What series of settlements celebrated their feast day on 30 September?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The following bar graph represents the length (in letters) of the names of 19 people. What is the median length of these names?\n\n$\\textbf{(A) }3\\qquad\\textbf{(B) }4\\qquad\\textbf{(C) }5\\qquad\\textbf{(D) }6\\qquad \\textbf{(E) }7$",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 4876,
"need_tools_kwargs": true,
"question": "The following bar graph represents the length (in letters) of the names of 19 people. What is the median length of these names?\n\n$\\textbf{(A) }3\\qquad\\textbf{(B) }4\\qquad\\textbf{(C) }5\\qquad\\textbf{(D) }6\\qquad \\textbf{(E) }7$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a geometric sequence $\\{b_n\\}$ with a common ratio of $4$, if $T_n$ is the product of the first $n$ terms of the sequence $\\{b_n\\}$, then $\\frac{T_{20}}{T_{10}}$, $\\frac{T_{30}}{T_{20}}$, $\\frac{T_{40}}{T_{30}}$ also form a geometric sequence with a common ratio of $4^{100}$. Similarly, in an arithmetic sequence $\\{a_n\\}$ with a common difference of $3$, if $S_n$ is the sum of the first $n$ terms of $\\{a_n\\}$, then \\_\\_\\_\\_\\_\\_ also form an arithmetic sequence with a common difference of \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "300",
"style": "rule"
}
|
{
"index": 4877,
"need_tools_kwargs": true,
"question": "For a geometric sequence $\\{b_n\\}$ with a common ratio of $4$, if $T_n$ is the product of the first $n$ terms of the sequence $\\{b_n\\}$, then $\\frac{T_{20}}{T_{10}}$, $\\frac{T_{30}}{T_{20}}$, $\\frac{T_{40}}{T_{30}}$ also form a geometric sequence with a common ratio of $4^{100}$. Similarly, in an arithmetic sequence $\\{a_n\\}$ with a common difference of $3$, if $S_n$ is the sum of the first $n$ terms of $\\{a_n\\}$, then \\_\\_\\_\\_\\_\\_ also form an arithmetic sequence with a common difference of \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the mother of the director of film Over The Garden Wall (1934 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Carrie Daumery",
"style": "rule"
}
|
{
"index": 4878,
"need_tools_kwargs": true,
"question": "Who is the mother of the director of film Over The Garden Wall (1934 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": "What city is nearest to the castle inherited by James Roberton?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Glasgow",
"style": "rule"
}
|
{
"index": 4879,
"need_tools_kwargs": true,
"question": "What city is nearest to the castle inherited by James Roberton?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 in the expansion of $({x-\\frac{1}{{{x^2}}}})^n$, the binomial coefficients of the $3$rd and $8$th terms are equal, then the constant term in the expansion is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-84",
"style": "rule"
}
|
{
"index": 4880,
"need_tools_kwargs": true,
"question": "Given that in the expansion of $({x-\\frac{1}{{{x^2}}}})^n$, the binomial coefficients of the $3$rd and $8$th terms are equal, then the constant term in the expansion is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the director of film A Close Call For Boston Blackie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "January 2, 1901",
"style": "rule"
}
|
{
"index": 4881,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film A Close Call For Boston Blackie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a sequence $\\{a_n\\}$ that satisfies $a_{n+1}-a_n=3$ and $a_3=-2$. If for all $k \\in [4,+\\infty)$, $\\frac{a_{k+1}a_{k+2}}{a_k} \\geqslant a_m$ always holds, where $m,k \\in \\mathbb{N}^*$, then the maximum value of the real number $m$ is _______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 4882,
"need_tools_kwargs": true,
"question": "Given a sequence $\\{a_n\\}$ that satisfies $a_{n+1}-a_n=3$ and $a_3=-2$. If for all $k \\in [4,+\\infty)$, $\\frac{a_{k+1}a_{k+2}}{a_k} \\geqslant a_m$ always holds, where $m,k \\in \\mathbb{N}^*$, 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": "What is the date of death of Ingemar Liljefors's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4 March 1936",
"style": "rule"
}
|
{
"index": 4883,
"need_tools_kwargs": true,
"question": "What is the date of death of Ingemar Liljefors's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year is Anselm Kiefer's \"The Second Sinful Fall of Parmenides (Der zweite Sündenfall des Parmenides)\" dated?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1969",
"style": "rule"
}
|
{
"index": 4884,
"need_tools_kwargs": true,
"question": "What year is Anselm Kiefer's \"The Second Sinful Fall of Parmenides (Der zweite Sündenfall des Parmenides)\" dated?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film whose director was born first, Wandering Footsteps or Murder by Decree?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Wandering Footsteps",
"style": "rule"
}
|
{
"index": 4885,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Wandering Footsteps or Murder by Decree?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 point $P_i(x_i, y_i)$ be on the line $l_i: a_ix + b_iy = c_i$, if $a_i + b_i = ic_i$ (where $i=1,2$), and $|P_1P_2| \\geq \\frac{\\sqrt{2}}{2}$ always holds, then $\\frac{c_1}{a_1} + \\frac{a_2}{c_2} =$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4886,
"need_tools_kwargs": true,
"question": "Let point $P_i(x_i, y_i)$ be on the line $l_i: a_ix + b_iy = c_i$, if $a_i + b_i = ic_i$ (where $i=1,2$), and $|P_1P_2| \\geq \\frac{\\sqrt{2}}{2}$ always holds, then $\\frac{c_1}{a_1} + \\frac{a_2}{c_2} =$ \\_\\_\\_\\_\\_\\_.",
"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": "Tabernacle has held comedy concerts by which Tony Award-nominated actor?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Stephen Andrew Lynch",
"style": "rule"
}
|
{
"index": 4887,
"need_tools_kwargs": true,
"question": "Tabernacle has held comedy concerts by which Tony Award-nominated actor?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 designer of the Bucksbaum Center for the Arts claims what national heritage?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "an Argentine American architect",
"style": "rule"
}
|
{
"index": 4888,
"need_tools_kwargs": true,
"question": "The designer of the Bucksbaum Center for the Arts claims what national heritage?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $A,B,C$ be angles of an acute triangle with \\begin{align*} \\cos^2 A + \\cos^2 B + 2 \\sin A \\sin B \\cos C &= \\frac{15}{8} \\text{ and} \\\\ \\cos^2 B + \\cos^2 C + 2 \\sin B \\sin C \\cos A &= \\frac{14}{9} \\end{align*} There are positive integers $p$ , $q$ , $r$ , and $s$ for which \\[\\cos^2 C + \\cos^2 A + 2 \\sin C \\sin A \\cos B = \\frac{p-q\\sqrt{r}}{s},\\] where $p+q$ and $s$ are relatively prime and $r$ is not divisible by the square of any prime. Find $p+q+r+s$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "222",
"style": "rule"
}
|
{
"index": 4889,
"need_tools_kwargs": true,
"question": "Let $A,B,C$ be angles of an acute triangle with \\begin{align*} \\cos^2 A + \\cos^2 B + 2 \\sin A \\sin B \\cos C &= \\frac{15}{8} \\text{ and} \\\\ \\cos^2 B + \\cos^2 C + 2 \\sin B \\sin C \\cos A &= \\frac{14}{9} \\end{align*} There are positive integers $p$ , $q$ , $r$ , and $s$ for which \\[\\cos^2 C + \\cos^2 A + 2 \\sin C \\sin A \\cos B = \\frac{p-q\\sqrt{r}}{s},\\] where $p+q$ and $s$ are relatively prime and $r$ is not divisible by the square of any prime. Find $p+q+r+s$ .",
"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": "In the sequence $\\{a\\_n\\}$, $a_{n+1} - a_n = 3$, $a_2 = 4$, and $S_n$ represents the sum of the first $n$ terms. Find $S_5 = (\\quad)$.\n\nA: $30$\nB: $35$\nC: $45$\nD: $50$",
"role": "user"
}
] |
math
|
{
"ground_truth": "S_5 = 35",
"style": "rule"
}
|
{
"index": 4890,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a\\_n\\}$, $a_{n+1} - a_n = 3$, $a_2 = 4$, and $S_n$ represents the sum of the first $n$ terms. Find $S_5 = (\\quad)$.\n\nA: $30$\nB: $35$\nC: $45$\nD: $50$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Gunsmoke In Tucson and The Fighting Stallion (1927 Film) have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 4891,
"need_tools_kwargs": true,
"question": "Do both films Gunsmoke In Tucson and The Fighting Stallion (1927 Film) 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 is the date of birth of the composer of film William Shatner'S Gonzo Ballet?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 12, 1966",
"style": "rule"
}
|
{
"index": 4892,
"need_tools_kwargs": true,
"question": "What is the date of birth of the composer of film William Shatner'S Gonzo Ballet?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Three boys played a \"Word\" game in which they each wrote down ten words. For each word a boy wrote, he scored three points if neither of the other boys had the same word; he scored one point if only one of the other boys had the same word. No points were awarded for words which all three boys had. When they added up their scores, they found that they each had different scores. Sam had the smallest score of 19 points. Determine how many points James scored, knowing that he scored the most.",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 4893,
"need_tools_kwargs": true,
"question": "Three boys played a \"Word\" game in which they each wrote down ten words. For each word a boy wrote, he scored three points if neither of the other boys had the same word; he scored one point if only one of the other boys had the same word. No points were awarded for words which all three boys had. When they added up their scores, they found that they each had different scores. Sam had the smallest score of 19 points. Determine how many points James scored, knowing that he scored the most.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 is the recent World War II movie filmed that features a famous actor from the \"Die Hard\" movies?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Shanghai, China",
"style": "rule"
}
|
{
"index": 4894,
"need_tools_kwargs": true,
"question": "Where is the recent World War II movie filmed that features a famous actor from the \"Die Hard\" movies?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two cubes whose difference is equal to 1234567.",
"role": "user"
}
] |
math
|
{
"ground_truth": "642641",
"style": "rule"
}
|
{
"index": 4895,
"need_tools_kwargs": true,
"question": "Find two cubes whose difference is equal to 1234567.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $ \\varepsilon_1,\\varepsilon_2,...,\\varepsilon_{2n}$ be independent random variables such that $ P(\\varepsilon_i\\equal{}1)\\equal{}P(\\varepsilon_i\\equal{}\\minus{}1)\\equal{}\\frac 12$ for all $ i$ , and define $ S_k\\equal{}\\sum_{i\\equal{}1}^k \\varepsilon_i, \\;1\\leq k \\leq 2n$ . Let $ N_{2n}$ denote the number of integers $ k\\in [2,2n]$ such that either $ S_k>0$ , or $ S_k\\equal{}0$ and $ S_{k\\minus{}1}>0$ . Compute the variance of $ N_{2n}$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3(2n-1)}{16}",
"style": "rule"
}
|
{
"index": 4896,
"need_tools_kwargs": true,
"question": "Let $ \\varepsilon_1,\\varepsilon_2,...,\\varepsilon_{2n}$ be independent random variables such that $ P(\\varepsilon_i\\equal{}1)\\equal{}P(\\varepsilon_i\\equal{}\\minus{}1)\\equal{}\\frac 12$ for all $ i$ , and define $ S_k\\equal{}\\sum_{i\\equal{}1}^k \\varepsilon_i, \\;1\\leq k \\leq 2n$ . Let $ N_{2n}$ denote the number of integers $ k\\in [2,2n]$ such that either $ S_k>0$ , or $ S_k\\equal{}0$ and $ S_{k\\minus{}1}>0$ . Compute the variance of $ N_{2n}$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do director of film Boys' Night Out (Film) and director of film Chotushkone share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4897,
"need_tools_kwargs": true,
"question": "Do director of film Boys' Night Out (Film) and director of film Chotushkone 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": "Four friends, Art, Roger, Paul, and Trisha, bake cookies of equal thickness but different shapes. Art's cookies are circles with a radius of 2 units, and he produces exactly 10 cookies, selling each for 50 cents. To earn the same amount from a single batch, determine how much one of Roger's square cookies should cost in cents, given that he uses the same amount of dough as Art.",
"role": "user"
}
] |
math
|
{
"ground_truth": "63",
"style": "rule"
}
|
{
"index": 4898,
"need_tools_kwargs": true,
"question": "Four friends, Art, Roger, Paul, and Trisha, bake cookies of equal thickness but different shapes. Art's cookies are circles with a radius of 2 units, and he produces exactly 10 cookies, selling each for 50 cents. To earn the same amount from a single batch, determine how much one of Roger's square cookies should cost in cents, given that he uses the same amount of dough as Art.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Boxtrolls features the voice of which American voice actor born on April 28, 1960?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Steven Blum",
"style": "rule"
}
|
{
"index": 4899,
"need_tools_kwargs": true,
"question": "The Boxtrolls features the voice of which American voice actor born on April 28, 1960?",
"split": "train"
}
| null |
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