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null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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: Homerun (Film) and The Prisoner (1920 Film) have the directors from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 5300, "need_tools_kwargs": true, "question": "Do both films: Homerun (Film) and The Prisoner (1920 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 was the fourth studio album of the solo artist who had three minor country singles in the charts as one half of the duo Skip & Linda?", "role": "user" } ]
qa
{ "ground_truth": "Some Things Are Meant to Be", "style": "rule" }
{ "index": 5301, "need_tools_kwargs": true, "question": "What was the fourth studio album of the solo artist who had three minor country singles in the charts as one half of the duo Skip & Linda?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 weights of 3 grams, 7 grams, and 14 grams, totaling 11 weights with a combined weight of 108 grams. How many of each type of weight are there?", "role": "user" } ]
math
{ "ground_truth": "155", "style": "rule" }
{ "index": 5302, "need_tools_kwargs": true, "question": "There are weights of 3 grams, 7 grams, and 14 grams, totaling 11 weights with a combined weight of 108 grams. How many of each type of weight are there?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "We flip a fair coin 10 times. What is the probability that we get heads in exactly 8 of the 10 flips?", "role": "user" } ]
math
{ "ground_truth": "\\dfrac{45}{1024}", "style": "rule" }
{ "index": 5303, "need_tools_kwargs": true, "question": "We flip a fair coin 10 times. What is the probability that we get heads in exactly 8 of the 10 flips?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Tony multiplies together at least two consecutive positive integers. He obtains the six-digit number \\( N \\). The left-hand digits of \\( N \\) are '47', and the right-hand digits of \\( N \\) are '74'. What integers does Tony multiply together?", "role": "user" } ]
math
{ "ground_truth": "77, 78, 79", "style": "rule" }
{ "index": 5304, "need_tools_kwargs": true, "question": "Tony multiplies together at least two consecutive positive integers. He obtains the six-digit number \\( N \\). The left-hand digits of \\( N \\) are '47', and the right-hand digits of \\( N \\) are '74'. What integers does Tony multiply together?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 bus arrives randomly sometime between 1:00 and 2:30, waits for 20 minutes, and then leaves. If Laura also arrives randomly between 1:00 and 2:30, what is the probability that the bus will be there when Laura arrives?", "role": "user" } ]
math
{ "ground_truth": "\\frac{16}{81}", "style": "rule" }
{ "index": 5305, "need_tools_kwargs": true, "question": "A bus arrives randomly sometime between 1:00 and 2:30, waits for 20 minutes, and then leaves. If Laura also arrives randomly between 1:00 and 2:30, what is the probability that the bus will be there when Laura arrives?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\(\\frac{\\cot \\theta-1}{2 \\cot \\theta+1}=1\\), find the value of \\(\\cos 2 \\theta\\).\nA. \\(\\frac{3}{5}\\)\nB. \\(-\\frac{3}{5}\\)\nC. \\(\\frac{2 \\sqrt{5}}{5}\\)\nD. \\(-\\frac{2 \\sqrt{5}}{5}\\)", "role": "user" } ]
math
{ "ground_truth": "\\frac{3}{5}", "style": "rule" }
{ "index": 5306, "need_tools_kwargs": true, "question": "If \\(\\frac{\\cot \\theta-1}{2 \\cot \\theta+1}=1\\), find the value of \\(\\cos 2 \\theta\\).\nA. \\(\\frac{3}{5}\\)\nB. \\(-\\frac{3}{5}\\)\nC. \\(\\frac{2 \\sqrt{5}}{5}\\)\nD. \\(-\\frac{2 \\sqrt{5}}{5}\\)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What month and year did a team of scientists publish a study of a skeleton found in Bragança, northeastern Portugal, of a man who died around 1000 AD and was discovered to have a 47,XXY karyotype?", "role": "user" } ]
qa
{ "ground_truth": "August 2022", "style": "rule" }
{ "index": 5307, "need_tools_kwargs": true, "question": "What month and year did a team of scientists publish a study of a skeleton found in Bragança, northeastern Portugal, of a man who died around 1000 AD and was discovered to have a 47,XXY karyotype?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which of the stars in \"Iron Jawed Angels\" was born on 4 January 1965?", "role": "user" } ]
qa
{ "ground_truth": "Julia Ormond", "style": "rule" }
{ "index": 5308, "need_tools_kwargs": true, "question": "Which of the stars in \"Iron Jawed Angels\" was born on 4 January 1965?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rectangular prism is built using $N$ identical 1-cm cubes. From a viewpoint where three faces of the prism are visible, 420 of the 1-cm cubes are hidden from view. Determine the minimum possible value of $N$.", "role": "user" } ]
math
{ "ground_truth": "630", "style": "rule" }
{ "index": 5309, "need_tools_kwargs": true, "question": "A rectangular prism is built using $N$ identical 1-cm cubes. From a viewpoint where three faces of the prism are visible, 420 of the 1-cm cubes are hidden from view. Determine the minimum possible value of $N$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the award that the director of film The Hatchet Man earned?", "role": "user" } ]
qa
{ "ground_truth": "Academy Award for Best Story", "style": "rule" }
{ "index": 5310, "need_tools_kwargs": true, "question": "What is the award that the director of film The Hatchet Man earned?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Olavu Geluvu and Thangaikkor Geetham have the directors that share the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 5311, "need_tools_kwargs": true, "question": "Do both films Olavu Geluvu and Thangaikkor Geetham have the directors that 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": "Which Amercian Patriot and possible member of the Culper Spy Ring does Anna Strong portray on an AMC series?", "role": "user" } ]
qa
{ "ground_truth": "Anna Smith Strong", "style": "rule" }
{ "index": 5312, "need_tools_kwargs": true, "question": "Which Amercian Patriot and possible member of the Culper Spy Ring does Anna Strong portray on an AMC series?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Diane Ladd's daugther was nominated for the Academy Award for Best Actress for her performance in what film?", "role": "user" } ]
qa
{ "ground_truth": "\"Rambling Rose\"", "style": "rule" }
{ "index": 5313, "need_tools_kwargs": true, "question": "Diane Ladd's daugther was nominated for the Academy Award for Best Actress for her performance in what 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": "Are director of film The Poison Rose and director of film The Doll Of Luna Park both from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 5314, "need_tools_kwargs": true, "question": "Are director of film The Poison Rose and director of film The Doll Of Luna Park 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 Forward from the Premier League club Arsenal scored a goal in the Major League Soccer All-Star Game, on July 27, 2011?", "role": "user" } ]
qa
{ "ground_truth": "Danny Welbeck", "style": "rule" }
{ "index": 5315, "need_tools_kwargs": true, "question": "What Forward from the Premier League club Arsenal scored a goal in the Major League Soccer All-Star Game, on July 27, 2011?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Solve the equation:\na) \\(0.2 \\log_{x} \\frac{1}{32} = -0.5\\);\n\nb) \\(\\log_{x-1} 3 = 2\\);\n\nc) \\(\\log_{\\log_3} x = 2\\).", "role": "user" } ]
math
{ "ground_truth": "3^{\\sqrt{3}}", "style": "rule" }
{ "index": 5316, "need_tools_kwargs": true, "question": "Solve the equation:\na) \\(0.2 \\log_{x} \\frac{1}{32} = -0.5\\);\n\nb) \\(\\log_{x-1} 3 = 2\\);\n\nc) \\(\\log_{\\log_3} x = 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": "William is thinking of an integer between 1 and 50, inclusive. Victor can choose a positive integer $m$ and ask William: \"does $m$ divide your number?\", to which William must answer truthfully. Victor continues asking these questions until he determines William's number. What is the minimum number of questions that Victor needs to guarantee this?", "role": "user" } ]
math
{ "ground_truth": "15", "style": "rule" }
{ "index": 5317, "need_tools_kwargs": true, "question": "William is thinking of an integer between 1 and 50, inclusive. Victor can choose a positive integer $m$ and ask William: \"does $m$ divide your number?\", to which William must answer truthfully. Victor continues asking these questions until he determines William's number. What is the minimum number of questions that Victor needs to guarantee this?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 distinct points are arranged on a plane such that the segments connecting them have lengths \\(a\\), \\(a\\), \\(a\\), \\(2a\\), \\(2a\\), and \\(b\\). Determine the ratio of \\(b\\) to \\(a\\).", "role": "user" } ]
math
{ "ground_truth": "2\\sqrt{2}", "style": "rule" }
{ "index": 5318, "need_tools_kwargs": true, "question": "Four distinct points are arranged on a plane such that the segments connecting them have lengths \\(a\\), \\(a\\), \\(a\\), \\(2a\\), \\(2a\\), and \\(b\\). Determine the ratio of \\(b\\) to \\(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": "Who was born earlier, Trevor Penney or Rudolf Höpfler?", "role": "user" } ]
qa
{ "ground_truth": "Rudolf Höpfler", "style": "rule" }
{ "index": 5319, "need_tools_kwargs": true, "question": "Who was born earlier, Trevor Penney or Rudolf Höpfler?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 columnist for the 13th-oldest newspaper in the United States was also a correspondent for Fox News Channel?", "role": "user" } ]
qa
{ "ground_truth": "Terry Keenan", "style": "rule" }
{ "index": 5320, "need_tools_kwargs": true, "question": "Which columnist for the 13th-oldest newspaper in the United States was also a correspondent for Fox News Channel?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film Markandeya (1935 Film)?", "role": "user" } ]
qa
{ "ground_truth": "Indian", "style": "rule" }
{ "index": 5321, "need_tools_kwargs": true, "question": "What nationality is the director of film Markandeya (1935 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": "求所有的正整数 n,满足如下条件:n 的全体 k 个正因数可以排列为 d_1, d_2, \\cdots, d_k,使得对任意 i=1, 2, \\cdots, k,d_1+d_2+\\cdots+d_i 都是完全平方数。将所有满足条件的正整数 n 的和表示为 x,请给出 x 的值。", "role": "user" } ]
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 5322, "need_tools_kwargs": true, "question": "求所有的正整数 n,满足如下条件:n 的全体 k 个正因数可以排列为 d_1, d_2, \\cdots, d_k,使得对任意 i=1, 2, \\cdots, k,d_1+d_2+\\cdots+d_i 都是完全平方数。将所有满足条件的正整数 n 的和表示为 x,请给出 x 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 an equilateral triangle \\( \\triangle ABC \\), points \\( D, E, F \\) are located on sides \\( BC, CA, AB \\), respectively, dividing each side into a ratio of \\( 3:(n-3) \\) where \\( n > 6 \\). The segments \\( AD, BE, CF \\) intersect to form triangle \\( \\triangle PQR \\) (where \\( BE \\) intersects \\( AD \\) at \\( P \\), and intersects \\( CF \\) at \\( Q \\)). Given that the area of triangle \\( \\triangle PQR \\) is \\(\\frac{4}{49}\\) of the area of triangle \\( \\triangle ABC \\), determine the value of \\( n \\).", "role": "user" } ]
math
{ "ground_truth": "8", "style": "rule" }
{ "index": 5323, "need_tools_kwargs": true, "question": "In an equilateral triangle \\( \\triangle ABC \\), points \\( D, E, F \\) are located on sides \\( BC, CA, AB \\), respectively, dividing each side into a ratio of \\( 3:(n-3) \\) where \\( n > 6 \\). The segments \\( AD, BE, CF \\) intersect to form triangle \\( \\triangle PQR \\) (where \\( BE \\) intersects \\( AD \\) at \\( P \\), and intersects \\( CF \\) at \\( Q \\)). Given that the area of triangle \\( \\triangle PQR \\) is \\(\\frac{4}{49}\\) of the area of triangle \\( \\triangle ABC \\), determine the value of \\( n \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What Bible college located in Louisville, Kentucky, was attended by Paul R. House who served for a time as president of the Evangelical Theological Society?", "role": "user" } ]
qa
{ "ground_truth": "Southern Baptist Theological Seminary", "style": "rule" }
{ "index": 5324, "need_tools_kwargs": true, "question": "What Bible college located in Louisville, Kentucky, was attended by Paul R. House who served for a time as president of the Evangelical Theological Society?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 did Shannon Harper collaborate with Madeline Harper to create the Pseudonym of Anna James?", "role": "user" } ]
qa
{ "ground_truth": "mail, fax machines and their computers", "style": "rule" }
{ "index": 5325, "need_tools_kwargs": true, "question": "How did Shannon Harper collaborate with Madeline Harper to create the Pseudonym of Anna James?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Something's Going On, is the sixteenth studio album by American country music artist Trace Adkins, it was released on March 31, 2017 via which American independent record label, based in Nashville, Tennessee?", "role": "user" } ]
qa
{ "ground_truth": "Broken Bow Records", "style": "rule" }
{ "index": 5326, "need_tools_kwargs": true, "question": "Something's Going On, is the sixteenth studio album by American country music artist Trace Adkins, it was released on March 31, 2017 via which American independent record label, based in Nashville, Tennessee?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 wrote The Road to City A where City A is where KVNO radio is licensed?", "role": "user" } ]
qa
{ "ground_truth": "Robert Ludlum", "style": "rule" }
{ "index": 5327, "need_tools_kwargs": true, "question": "Who wrote The Road to City A where City A is where KVNO radio is licensed?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "George Francis trained world champion Ugandan former professional boxer who competed from 1980 to 1991, and 1996 to 1999 and held the WBC super-welterweight title during what time period?", "role": "user" } ]
qa
{ "ground_truth": "from 1989 to 1990", "style": "rule" }
{ "index": 5328, "need_tools_kwargs": true, "question": "George Francis trained world champion Ugandan former professional boxer who competed from 1980 to 1991, and 1996 to 1999 and held the WBC super-welterweight title during what time period?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What was unusual about the venue of the 1957 European Cup Final and 2012 UEFA Champions League Final?", "role": "user" } ]
qa
{ "ground_truth": "one of the teams played in its home stadium", "style": "rule" }
{ "index": 5329, "need_tools_kwargs": true, "question": "What was unusual about the venue of the 1957 European Cup Final and 2012 UEFA Champions League Final?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integer $n$ is called a good number if every integer multiple of $n$ is divisible by $n$ regardless of how its digits are rearranged. How many good numbers are there?", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "index": 5330, "need_tools_kwargs": true, "question": "A positive integer $n$ is called a good number if every integer multiple of $n$ is divisible by $n$ regardless of how its digits are rearranged. How many good numbers are there?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which musician, Neu Electrikk or Tyson Ritter, also had a career in acting?", "role": "user" } ]
qa
{ "ground_truth": "Tyson Jay Ritter", "style": "rule" }
{ "index": 5331, "need_tools_kwargs": true, "question": "Which musician, Neu Electrikk or Tyson Ritter, also had a career in acting?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $ABCDEFGH$ be a cube with each edge measuring 2 units. Find $\\sin \\angle EAC$.", "role": "user" } ]
math
{ "ground_truth": "\\frac{\\sqrt{2}}{2}", "style": "rule" }
{ "index": 5332, "need_tools_kwargs": true, "question": "Let $ABCDEFGH$ be a cube with each edge measuring 2 units. Find $\\sin \\angle EAC$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 letter in the words EH and MOPOZ corresponds to a certain digit, with the same digits corresponding to the same letters, and different digits corresponding to different letters.\n\nIt is known that E$\\cdot$H $=$ M $\\cdot \\mathrm{O} \\cdot \\mathrm{P} \\cdot \\mathrm{O} \\cdot 3$, and E $+\\mathrm{H}=\\mathrm{M}+\\mathrm{O}+\\mathrm{P}+\\mathrm{O}+$ 3. What is the value of $E \\cdot \\mathrm{H}+\\mathrm{M} \\cdot \\mathrm{O} \\cdot \\mathrm{P} \\cdot \\mathrm{O} \\cdot 3$?", "role": "user" } ]
math
{ "ground_truth": "72", "style": "rule" }
{ "index": 5333, "need_tools_kwargs": true, "question": "Each letter in the words EH and MOPOZ corresponds to a certain digit, with the same digits corresponding to the same letters, and different digits corresponding to different letters.\n\nIt is known that E$\\cdot$H $=$ M $\\cdot \\mathrm{O} \\cdot \\mathrm{P} \\cdot \\mathrm{O} \\cdot 3$, and E $+\\mathrm{H}=\\mathrm{M}+\\mathrm{O}+\\mathrm{P}+\\mathrm{O}+$ 3. What is the value of $E \\cdot \\mathrm{H}+\\mathrm{M} \\cdot \\mathrm{O} \\cdot \\mathrm{P} \\cdot \\mathrm{O} \\cdot 3$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which film has the director born first, Hi-Riders or Nitrate Kisses?", "role": "user" } ]
qa
{ "ground_truth": "Nitrate Kisses", "style": "rule" }
{ "index": 5334, "need_tools_kwargs": true, "question": "Which film has the director born first, Hi-Riders or Nitrate Kisses?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Second Honeymoon (Song)?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 5335, "need_tools_kwargs": true, "question": "What nationality is the performer of song Second Honeymoon (Song)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Nine distinct points are placed on the circumference of a circle. How many different triangles can be formed if each vertex must be one of these 9 points, and no three consecutive points can be vertices of the triangle?", "role": "user" } ]
math
{ "ground_truth": "75", "style": "rule" }
{ "index": 5336, "need_tools_kwargs": true, "question": "Nine distinct points are placed on the circumference of a circle. How many different triangles can be formed if each vertex must be one of these 9 points, and no three consecutive points can be vertices of the triangle?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the performer of song Revolver (Lewis Black Ep)?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 5337, "need_tools_kwargs": true, "question": "What nationality is the performer of song Revolver (Lewis Black Ep)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 lake borders the city where the 308th Bombardment Wing was last stationed?", "role": "user" } ]
qa
{ "ground_truth": "Lake Champlain", "style": "rule" }
{ "index": 5338, "need_tools_kwargs": true, "question": "What lake borders the city where the 308th Bombardment Wing was last stationed?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 stars in a 2013 film directed by someone known for horror films like \"The Hills Have Eyes\" (2006)?", "role": "user" } ]
qa
{ "ground_truth": "Daniel Radcliffe", "style": "rule" }
{ "index": 5339, "need_tools_kwargs": true, "question": "Who stars in a 2013 film directed by someone known for horror films like \"The Hills Have Eyes\" (2006)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where did the director of film Sev Kardeşim die?", "role": "user" } ]
qa
{ "ground_truth": "Istanbul", "style": "rule" }
{ "index": 5340, "need_tools_kwargs": true, "question": "Where did the director of film Sev Kardeşim die?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who is the child of the director of film Kaala Rathri?", "role": "user" } ]
qa
{ "ground_truth": "K. S. G. Venkatesh", "style": "rule" }
{ "index": 5341, "need_tools_kwargs": true, "question": "Who is the child of the director of film Kaala Rathri?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 continent of Trianglandia is an equilateral triangle with a side length of $9$. It is divided into $81$ smaller equilateral triangles, each with a side length of $1$. Each smaller triangle (country) can choose to build a wall along at most one of its $3$ sides. Due to ongoing conflicts, no two adjacent countries can have their walls touch, even at a corner. What is the maximum number of walls that can be constructed in Trianglandia?", "role": "user" } ]
math
{ "ground_truth": "45", "style": "rule" }
{ "index": 5342, "need_tools_kwargs": true, "question": "The continent of Trianglandia is an equilateral triangle with a side length of $9$. It is divided into $81$ smaller equilateral triangles, each with a side length of $1$. Each smaller triangle (country) can choose to build a wall along at most one of its $3$ sides. Due to ongoing conflicts, no two adjacent countries can have their walls touch, even at a corner. What is the maximum number of walls that can be constructed in Trianglandia?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 differential \\(d y\\):\n\n\\[ y = 2x + \\ln |\\sin x + 2 \\cos x| \\]", "role": "user" } ]
math
{ "ground_truth": "dy = \\frac{5 \\cos x}{\\sin x + 2 \\cos x} \\cdot dx", "style": "rule" }
{ "index": 5343, "need_tools_kwargs": true, "question": "Find the differential \\(d y\\):\n\n\\[ y = 2x + \\ln |\\sin x + 2 \\cos x| \\]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When was the church on which the Cleveland Feast of the Assumption Festival is centered founded?", "role": "user" } ]
qa
{ "ground_truth": "the early 1890s", "style": "rule" }
{ "index": 5344, "need_tools_kwargs": true, "question": "When was the church on which the Cleveland Feast of the Assumption Festival is centered founded?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given that the universal set $U=\\mathbb{R}$, and the set $A=\\{x\\,|\\,x>1\\}$, then the complement of set $A$ in $U$, denoted $\\complement_U A$, is _________.", "role": "user" } ]
math
{ "ground_truth": "\\{x\\,|\\,x \\leq 1\\}", "style": "rule" }
{ "index": 5345, "need_tools_kwargs": true, "question": "Given that the universal set $U=\\mathbb{R}$, and the set $A=\\{x\\,|\\,x>1\\}$, then the complement of set $A$ in $U$, denoted $\\complement_U A$, 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": "Which film has the director who is older than the other, El Verdugo De Sevilla or Up To His Ears? ", "role": "user" } ]
qa
{ "ground_truth": "El Verdugo De Sevilla", "style": "rule" }
{ "index": 5346, "need_tools_kwargs": true, "question": "Which film has the director who is older than the other, El Verdugo De Sevilla or Up To His Ears? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Kazi Sabyasachi's father?", "role": "user" } ]
qa
{ "ground_truth": "Pick's disease", "style": "rule" }
{ "index": 5347, "need_tools_kwargs": true, "question": "What is the cause of death of Kazi Sabyasachi'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 nationality is the director of film Above Rubies?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 5348, "need_tools_kwargs": true, "question": "What nationality is the director of film Above Rubies?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Jordan gave Danielle two dozen roses and a box of chocolates as a birthday day gift. Later that day, after Jordan left, Danielle traded the box of chocolates for another dozen roses. Overnight, some of the roses wilted, and Danielle decided to throw the wilted flowers away. On the second day, another half of the remaining flowers wilted, and she threw the wilted ones away. Danielle had 9 unwilted flowers remaining. What is the ratio of wilted flowers to the total number of flowers after the first night?", "role": "user" } ]
math
{ "ground_truth": "18", "style": "rule" }
{ "index": 5349, "need_tools_kwargs": true, "question": "Jordan gave Danielle two dozen roses and a box of chocolates as a birthday day gift. Later that day, after Jordan left, Danielle traded the box of chocolates for another dozen roses. Overnight, some of the roses wilted, and Danielle decided to throw the wilted flowers away. On the second day, another half of the remaining flowers wilted, and she threw the wilted ones away. Danielle had 9 unwilted flowers remaining. What is the ratio of wilted flowers to the total number of flowers after the first night?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the composer of film Tulasi Dalam (Film)?", "role": "user" } ]
qa
{ "ground_truth": "India", "style": "rule" }
{ "index": 5350, "need_tools_kwargs": true, "question": "What nationality is the composer of film Tulasi Dalam (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": "Alice is bored in class, so she thinks of a positive integer. Every second after that, she subtracts from her current number its smallest prime divisor, possibly itself. After 2022 seconds, she realizes that her number is prime. Find the sum of all possible values of her initial number.", "role": "user" } ]
math
{ "ground_truth": "8093", "style": "rule" }
{ "index": 5351, "need_tools_kwargs": true, "question": "Alice is bored in class, so she thinks of a positive integer. Every second after that, she subtracts from her current number its smallest prime divisor, possibly itself. After 2022 seconds, she realizes that her number is prime. Find the sum of all possible values of her initial number.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a hypothetical math competition, contestants are given the problem to find three distinct positive integers $X$, $Y$, and $Z$ such that their product $X \\cdot Y \\cdot Z = 399$. What is the largest possible value of the sum $X+Y+Z$?", "role": "user" } ]
math
{ "ground_truth": "29", "style": "rule" }
{ "index": 5352, "need_tools_kwargs": true, "question": "In a hypothetical math competition, contestants are given the problem to find three distinct positive integers $X$, $Y$, and $Z$ such that their product $X \\cdot Y \\cdot Z = 399$. What is the largest possible value of the sum $X+Y+Z$?", "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": "A value of \\( x \\) such that \\( (5 - 3x)^5 = -1 \\) is\n(A) \\( \\frac{4}{3} \\)\n(B) 0\n(C) \\( \\frac{10}{3} \\)\n(D) \\( \\frac{5}{3} \\)\n(E) 2", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 5353, "need_tools_kwargs": true, "question": "A value of \\( x \\) such that \\( (5 - 3x)^5 = -1 \\) is\n(A) \\( \\frac{4}{3} \\)\n(B) 0\n(C) \\( \\frac{10}{3} \\)\n(D) \\( \\frac{5}{3} \\)\n(E) 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": "A large tank can be filled by pipes A, B, or C. Pipes A and B together take 5 hours to fill the tank. Pipes A and C together take 8 hours to fill the tank. Pipes B and C together would take 10 hours to fill the tank. The volume of the tank is 160 cubic meters. How many hours does it take pipes A, B, and C working together to fill the tank? Express your answer as a simplified fraction.", "role": "user" } ]
math
{ "ground_truth": "\\frac{80}{17}", "style": "rule" }
{ "index": 5354, "need_tools_kwargs": true, "question": "A large tank can be filled by pipes A, B, or C. Pipes A and B together take 5 hours to fill the tank. Pipes A and C together take 8 hours to fill the tank. Pipes B and C together would take 10 hours to fill the tank. The volume of the tank is 160 cubic meters. How many hours does it take pipes A, B, and C working together to fill the tank? Express your answer as a simplified fraction.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the name of the village in the Chitradurga district of Karnataka where the serial rapist and serial killer Umesh Reddy was born?", "role": "user" } ]
qa
{ "ground_truth": "Basappa Malige.", "style": "rule" }
{ "index": 5355, "need_tools_kwargs": true, "question": "What is the name of the village in the Chitradurga district of Karnataka where the serial rapist and serial killer Umesh Reddy was born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A fair 8-sided die is rolled repeatedly until an odd number appears. The sides of the die are numbered from 1 to 8. What is the probability that the even numbers 2, 4, and 6 appear in strictly ascending order at least once before the first occurrence of any odd number?", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{512}", "style": "rule" }
{ "index": 5356, "need_tools_kwargs": true, "question": "A fair 8-sided die is rolled repeatedly until an odd number appears. The sides of the die are numbered from 1 to 8. What is the probability that the even numbers 2, 4, and 6 appear in strictly ascending order at least once before the first occurrence of any odd number?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Which actress known for her role as Anne Frank in the tv miniseries first made her film debut in the House of the Spirits?", "role": "user" } ]
qa
{ "ground_truth": "Hannah Taylor-Gordon", "style": "rule" }
{ "index": 5357, "need_tools_kwargs": true, "question": "Which actress known for her role as Anne Frank in the tv miniseries first made her film debut in the House of the Spirits?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Pool \\( A \\) and \\( B \\) are both rectangular cuboids with a length of 3 meters, a width of 2 meters, and a depth of 1.2 meters. Valve 1 is used to fill Pool \\( A \\), and it takes 18 minutes to fill it from empty. Valve 2 is used to transfer water from Pool \\( A \\) to Pool \\( B \\), and it takes 24 minutes to transfer a full pool of water from \\( A \\) to \\( B \\). If both Valve 1 and Valve 2 are opened simultaneously, calculate how much water (in cubic meters) will Pool \\( B \\) have when Pool \\( A \\) has a water depth of 0.4 meters.", "role": "user" } ]
math
{ "ground_truth": "7.2", "style": "rule" }
{ "index": 5358, "need_tools_kwargs": true, "question": "Pool \\( A \\) and \\( B \\) are both rectangular cuboids with a length of 3 meters, a width of 2 meters, and a depth of 1.2 meters. Valve 1 is used to fill Pool \\( A \\), and it takes 18 minutes to fill it from empty. Valve 2 is used to transfer water from Pool \\( A \\) to Pool \\( B \\), and it takes 24 minutes to transfer a full pool of water from \\( A \\) to \\( B \\). If both Valve 1 and Valve 2 are opened simultaneously, calculate how much water (in cubic meters) will Pool \\( B \\) have when Pool \\( A \\) has a water depth of 0.4 meters.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Where did the performer of song Let Me (Elvis Presley Song) die?", "role": "user" } ]
qa
{ "ground_truth": "Graceland", "style": "rule" }
{ "index": 5359, "need_tools_kwargs": true, "question": "Where did the performer of song Let Me (Elvis Presley Song) die?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "How large is the campus of the university for which Michael Morton played college football?", "role": "user" } ]
qa
{ "ground_truth": "332 acre", "style": "rule" }
{ "index": 5360, "need_tools_kwargs": true, "question": "How large is the campus of the university for which Michael Morton played college football?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the function $f(x)= \\begin{cases} (1-2a)x+3a,x < 1 \\\\ 2^{x-1},x\\geqslant 1 \\end{cases}$, where the domain of the function is $(R)$, find the range of values for the real number $a$.", "role": "user" } ]
math
{ "ground_truth": "[0, \\dfrac {1}{2})", "style": "rule" }
{ "index": 5361, "need_tools_kwargs": true, "question": "Given the function $f(x)= \\begin{cases} (1-2a)x+3a,x < 1 \\\\ 2^{x-1},x\\geqslant 1 \\end{cases}$, where the domain of the function is $(R)$, find the range of values for the real number $a$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Do director of film A Flat For Three and director of film María Rosa (1946 Film) have the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 5362, "need_tools_kwargs": true, "question": "Do director of film A Flat For Three and director of film María Rosa (1946 Film) have 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": "Are both Deh-E Abdollah, Kerman and Gel-E Shur located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 5363, "need_tools_kwargs": true, "question": "Are both Deh-E Abdollah, Kerman and Gel-E Shur located in the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "已知数列 \\{a_n\\} 满足:a_1=1,a_2=3,a_n=\\begin{cases}a_{\\frac{n}{2}}+2,& n\\ \\text{为 偶 数 }\\\\ 2a_{\\frac{n+1}{2}}-1,& n\\ \\text{为 奇 数 }\\end{cases}. 求数列 \\{a_n\\} 前 2^n 项和 S_{2^n}。原始答案的形式为k \\cdot 3^n - m \\cdot 2^n,请给出k + m的值。", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "index": 5364, "need_tools_kwargs": true, "question": "已知数列 \\{a_n\\} 满足:a_1=1,a_2=3,a_n=\\begin{cases}a_{\\frac{n}{2}}+2,& n\\ \\text{为 偶 数 }\\\\ 2a_{\\frac{n+1}{2}}-1,& n\\ \\text{为 奇 数 }\\end{cases}. 求数列 \\{a_n\\} 前 2^n 项和 S_{2^n}。原始答案的形式为k \\cdot 3^n - m \\cdot 2^n,请给出k + m的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Jan van Aken is a writer belonging to which Germanic ethnic group native to the Netherlands?", "role": "user" } ]
qa
{ "ground_truth": "Dutch people", "style": "rule" }
{ "index": 5365, "need_tools_kwargs": true, "question": "Jan van Aken is a writer belonging to which Germanic ethnic group native to the Netherlands?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Korver is a popular what?", "role": "user" } ]
qa
{ "ground_truth": "Dutch names", "style": "rule" }
{ "index": 5366, "need_tools_kwargs": true, "question": "Korver is a popular 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": "Let $f(t)=\\frac{t}{1-t}$, $t \\not= 1$. If $y=f(x)$, then $x$ can be expressed as \n$\\textbf{(A)}\\ f\\left(\\frac{1}{y}\\right)\\qquad \\textbf{(B)}\\ -f(y)\\qquad \\textbf{(C)}\\ -f(-y)\\qquad \\textbf{(D)}\\ f(-y)\\qquad \\textbf{(E)}\\ f(y)$", "role": "user" } ]
math
{ "ground_truth": "-f(-y)", "style": "rule" }
{ "index": 5367, "need_tools_kwargs": true, "question": "Let $f(t)=\\frac{t}{1-t}$, $t \\not= 1$. If $y=f(x)$, then $x$ can be expressed as \n$\\textbf{(A)}\\ f\\left(\\frac{1}{y}\\right)\\qquad \\textbf{(B)}\\ -f(y)\\qquad \\textbf{(C)}\\ -f(-y)\\qquad \\textbf{(D)}\\ f(-y)\\qquad \\textbf{(E)}\\ f(y)$", "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": "What is the date of death of Gaston De Gerlache's father?", "role": "user" } ]
qa
{ "ground_truth": "4 December 1934", "style": "rule" }
{ "index": 5368, "need_tools_kwargs": true, "question": "What is the date of death of Gaston De Gerlache'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": "Joey and Chloe and their daughter Zoe all have the same birthday. Joey is $1$ year older than Chloe, and Zoe is exactly $1$ year old today. Today is the first of the $9$ birthdays on which Chloe's age will be an integral multiple of Zoe's age. What will be the sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age?", "role": "user" } ]
math
{ "ground_truth": "11", "style": "rule" }
{ "index": 5369, "need_tools_kwargs": true, "question": "Joey and Chloe and their daughter Zoe all have the same birthday. Joey is $1$ year older than Chloe, and Zoe is exactly $1$ year old today. Today is the first of the $9$ birthdays on which Chloe's age will be an integral multiple of Zoe's age. What will be the sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Adlan Varayev defeated the wrestler who ended up winning how many world and Olympic medals in 1987?", "role": "user" } ]
qa
{ "ground_truth": "seven-time", "style": "rule" }
{ "index": 5370, "need_tools_kwargs": true, "question": "Adlan Varayev defeated the wrestler who ended up winning how many world and Olympic medals in 1987?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Location is the lead single from the album released on what date?", "role": "user" } ]
qa
{ "ground_truth": "March 3, 2017", "style": "rule" }
{ "index": 5371, "need_tools_kwargs": true, "question": "Location is the lead single from the album released on what date?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Treviso is a city and \"comune\" that is home to an Italian brand of shoe and clothing manufactured with what?", "role": "user" } ]
qa
{ "ground_truth": "waterproof/breathable fabrics.", "style": "rule" }
{ "index": 5372, "need_tools_kwargs": true, "question": "Treviso is a city and \"comune\" that is home to an Italian brand of shoe and clothing manufactured with 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": "Kyle Moran was born in the town on what river?", "role": "user" } ]
qa
{ "ground_truth": "Castletown", "style": "rule" }
{ "index": 5373, "need_tools_kwargs": true, "question": "Kyle Moran was born in the town on what river?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": " Hitmaker starred which member of the band Super Junior?", "role": "user" } ]
qa
{ "ground_truth": "Kim Young-woon", "style": "rule" }
{ "index": 5374, "need_tools_kwargs": true, "question": " Hitmaker starred which member of the band Super Junior?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of the director of film I Am A Camera (Film)?", "role": "user" } ]
qa
{ "ground_truth": "2 May 1958", "style": "rule" }
{ "index": 5375, "need_tools_kwargs": true, "question": "What is the date of death of the director of film I Am A Camera (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": "A certain product in a shopping mall sells an average of 30 units per day, with a profit of 50 yuan per unit. To reduce inventory as quickly as possible, the mall decides to take appropriate price reduction measures. It has been found that for every 1 yuan reduction in price per unit, the mall can sell an additional 2 units per day. \nFind: \n(1) How much should the price of each product be reduced to achieve a daily profit of 2100 yuan for the mall? \n(2) How much should the price of each product be reduced to maximize the mall's daily profit?", "role": "user" } ]
math
{ "ground_truth": "17.5", "style": "rule" }
{ "index": 5376, "need_tools_kwargs": true, "question": "A certain product in a shopping mall sells an average of 30 units per day, with a profit of 50 yuan per unit. To reduce inventory as quickly as possible, the mall decides to take appropriate price reduction measures. It has been found that for every 1 yuan reduction in price per unit, the mall can sell an additional 2 units per day. \nFind: \n(1) How much should the price of each product be reduced to achieve a daily profit of 2100 yuan for the mall? \n(2) How much should the price of each product be reduced to maximize the mall's daily profit?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Fox series was the man who wrote the script in which \"The Disappointments Room\" known for?", "role": "user" } ]
qa
{ "ground_truth": "Prison Break", "style": "rule" }
{ "index": 5377, "need_tools_kwargs": true, "question": "What Fox series was the man who wrote the script in which \"The Disappointments Room\" known for?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Let \\(x,\\) \\(y,\\) and \\(z\\) be positive real numbers such that \\(x + y + z = 4.\\) Find the minimum value of\n\\[\n\\frac{9}{x} + \\frac{1}{y} + \\frac{25}{z}.\n\\]", "role": "user" } ]
math
{ "ground_truth": "20.25", "style": "rule" }
{ "index": 5378, "need_tools_kwargs": true, "question": "Let \\(x,\\) \\(y,\\) and \\(z\\) be positive real numbers such that \\(x + y + z = 4.\\) Find the minimum value of\n\\[\n\\frac{9}{x} + \\frac{1}{y} + \\frac{25}{z}.\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": "Venus of the Hardsell is notable for being fictionally part of stories created by what three individuals?", "role": "user" } ]
qa
{ "ground_truth": "Alan Moore, Steve Bissette and John Totleben", "style": "rule" }
{ "index": 5379, "need_tools_kwargs": true, "question": "Venus of the Hardsell is notable for being fictionally part of stories created by what three individuals?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film The Caller (2008 Film)?", "role": "user" } ]
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 5380, "need_tools_kwargs": true, "question": "What nationality is the director of film The Caller (2008 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": "Which film has the director who is older than the other, Radio Magic or My Wedding Night? ", "role": "user" } ]
qa
{ "ground_truth": "Radio Magic", "style": "rule" }
{ "index": 5381, "need_tools_kwargs": true, "question": "Which film has the director who is older than the other, Radio Magic or My Wedding Night? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Fear the Voices was co-written by the bassist for the group he was a part of until which month?", "role": "user" } ]
qa
{ "ground_truth": "January 1993", "style": "rule" }
{ "index": 5382, "need_tools_kwargs": true, "question": "Fear the Voices was co-written by the bassist for the group he was a part of until which month?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Who is the spouse of the director of film Avalokitesvara (Film)?", "role": "user" } ]
qa
{ "ground_truth": "Pan Shiyi", "style": "rule" }
{ "index": 5383, "need_tools_kwargs": true, "question": "Who is the spouse of the director of film Avalokitesvara (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": "求所有的整数 $n$ ,使得对任意两两不等的正实数 $a 、 b 、 c$, 都有\n$\\frac{a^{n+1}}{|b-c|^{n}}+\\frac{b^{n+1}}{|c-a|^{n}}+\\frac{c^{n+1}}{|a-b|^{n}} \\geqslant a+b+c$.\n请给出满足该条件的最小自然数n的值。", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 5384, "need_tools_kwargs": true, "question": "求所有的整数 $n$ ,使得对任意两两不等的正实数 $a 、 b 、 c$, 都有\n$\\frac{a^{n+1}}{|b-c|^{n}}+\\frac{b^{n+1}}{|c-a|^{n}}+\\frac{c^{n+1}}{|a-b|^{n}} \\geqslant a+b+c$.\n请给出满足该条件的最小自然数n的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What ballet was the last work of the composer of \"La poupée de Nuremberg\"?", "role": "user" } ]
qa
{ "ground_truth": "\"Le corsaire\"", "style": "rule" }
{ "index": 5385, "need_tools_kwargs": true, "question": "What ballet was the last work of the composer of \"La poupée de Nuremberg\"?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Column of Saint Zanobi is a monumental marble column located just north of religious building with the status of what?", "role": "user" } ]
qa
{ "ground_truth": "a minor basilica", "style": "rule" }
{ "index": 5386, "need_tools_kwargs": true, "question": "The Column of Saint Zanobi is a monumental marble column located just north of religious building with the status of what?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "In a certain competition, the rules are as follows: among the 5 questions preset by the organizer, if a contestant can answer two consecutive questions correctly, they will stop answering and advance to the next round. Assuming the probability of a contestant correctly answering each question is 0.8, and the outcomes of answering each question are independent of each other, then the probability that the contestant will exactly answer 4 questions before advancing to the next round is", "role": "user" } ]
math
{ "ground_truth": "0.128", "style": "rule" }
{ "index": 5387, "need_tools_kwargs": true, "question": "In a certain competition, the rules are as follows: among the 5 questions preset by the organizer, if a contestant can answer two consecutive questions correctly, they will stop answering and advance to the next round. Assuming the probability of a contestant correctly answering each question is 0.8, and the outcomes of answering each question are independent of each other, then the probability that the contestant will exactly answer 4 questions before advancing to the next round 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": "\nSolve the system\n\n\\[\n\\begin{aligned}\n& y^{2}=4 x^{3}+x-4 \\\\\n& z^{2}=4 y^{3}+y-4 \\\\\n& x^{2}=4 z^{3}+z-4\n\\end{aligned}\n\\]", "role": "user" } ]
math
{ "ground_truth": "(1, 1, 1)", "style": "rule" }
{ "index": 5388, "need_tools_kwargs": true, "question": "\nSolve the system\n\n\\[\n\\begin{aligned}\n& y^{2}=4 x^{3}+x-4 \\\\\n& z^{2}=4 y^{3}+y-4 \\\\\n& x^{2}=4 z^{3}+z-4\n\\end{aligned}\n\\]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Triangle $ABC$ is circumcribed around a circle with center $O$. This circle is tangent to each side of the triangle. Given that $\\angle BAC = 75^\\circ$ and $\\angle ACB = 55^\\circ$, calculate $\\angle BCO$ where $O$ is the incenter of $\\triangle ABC$.", "role": "user" } ]
math
{ "ground_truth": "25^\\circ", "style": "rule" }
{ "index": 5389, "need_tools_kwargs": true, "question": "Triangle $ABC$ is circumcribed around a circle with center $O$. This circle is tangent to each side of the triangle. Given that $\\angle BAC = 75^\\circ$ and $\\angle ACB = 55^\\circ$, calculate $\\angle BCO$ where $O$ is the incenter 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": "What American sitcom that ran on CBS starred Casey Sander? ", "role": "user" } ]
qa
{ "ground_truth": "Rules of Engagement", "style": "rule" }
{ "index": 5390, "need_tools_kwargs": true, "question": "What American sitcom that ran on CBS starred Casey Sander? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Find the sum of all values of $x$ such that the set $\\{107, 122,127, 137, 152,x\\}$ has a mean that is equal to its median.", "role": "user" } ]
math
{ "ground_truth": "381", "style": "rule" }
{ "index": 5391, "need_tools_kwargs": true, "question": "Find the sum of all values of $x$ such that the set $\\{107, 122,127, 137, 152,x\\}$ has a mean that is equal to its median.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Given the linear fractional transformation of $x$ into $f_1(x)=\\dfrac{2x-1}{x+1}$ . Define $f_{n+1}(x)=f_1(f_n(x))$ for $n=1,2,3,\\cdots$ . Assuming that $f_{35}(x)=f_5(x)$ , it follows that $f_{28}(x)$ is equal to $\\textbf{(A) }x\\qquad\\textbf{(B) }\\frac{1}{x}\\qquad\\textbf{(C) }\\frac{x-1}{x}\\qquad\\textbf{(D) }\\frac{1}{1-x}\\qquad \\textbf{(E) }\\text{None of these}$ ", "role": "user" } ]
math
{ "ground_truth": "\\frac{1}{1-x}", "style": "rule" }
{ "index": 5392, "need_tools_kwargs": true, "question": "Given the linear fractional transformation of $x$ into $f_1(x)=\\dfrac{2x-1}{x+1}$ . Define $f_{n+1}(x)=f_1(f_n(x))$ for $n=1,2,3,\\cdots$ . Assuming that $f_{35}(x)=f_5(x)$ , it follows that $f_{28}(x)$ is equal to $\\textbf{(A) }x\\qquad\\textbf{(B) }\\frac{1}{x}\\qquad\\textbf{(C) }\\frac{x-1}{x}\\qquad\\textbf{(D) }\\frac{1}{1-x}\\qquad \\textbf{(E) }\\text{None of these}$ ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When was the guitarist born, who re-recorded the bass guitar for the album \"True Norwegian Black Metal – Live in Grieghallen\" by the band Gorgoroth?", "role": "user" } ]
qa
{ "ground_truth": "18 June 1972", "style": "rule" }
{ "index": 5393, "need_tools_kwargs": true, "question": "When was the guitarist born, who re-recorded the bass guitar for the album \"True Norwegian Black Metal – Live in Grieghallen\" by the band Gorgoroth?", "split": "train" }
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DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": " \nGiven $F_{1}$ and $F_{2}$ are the left and right foci of the hyperbola $C: \\frac{x^{2}}{9}-\\frac{y^{2}}{27}=1$, and the coordinates of point $A$ are $\\left(\\frac{9}{2}, \\frac{\\sqrt{135}}{2}\\right)$, find the coordinates of the intersection point $M$ between the angle bisector of $\\angle F_{1} A F_{2}$ and the $x$ axis.\n\n(A) $(2,0)$ \n(B) $(-2,0)$ \n(C) $(4,0)$ \n(D) $(-4,0)$", "role": "user" } ]
math
{ "ground_truth": "(2, 0)", "style": "rule" }
{ "index": 5394, "need_tools_kwargs": true, "question": " \nGiven $F_{1}$ and $F_{2}$ are the left and right foci of the hyperbola $C: \\frac{x^{2}}{9}-\\frac{y^{2}}{27}=1$, and the coordinates of point $A$ are $\\left(\\frac{9}{2}, \\frac{\\sqrt{135}}{2}\\right)$, find the coordinates of the intersection point $M$ between the angle bisector of $\\angle F_{1} A F_{2}$ and the $x$ axis.\n\n(A) $(2,0)$ \n(B) $(-2,0)$ \n(C) $(4,0)$ \n(D) $(-4,0)$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "Consider a rectangular prism with 8 vertices and 12 edges. If each vertex of the prism is truncated, and each face of the prism is divided by a diagonal cut into two triangles, how many edges does the altered shape have? Please explain your reasoning and show all necessary calculations.", "role": "user" } ]
math
{ "ground_truth": "42", "style": "rule" }
{ "index": 5395, "need_tools_kwargs": true, "question": "Consider a rectangular prism with 8 vertices and 12 edges. If each vertex of the prism is truncated, and each face of the prism is divided by a diagonal cut into two triangles, how many edges does the altered shape have? Please explain your reasoning and show all necessary calculations.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When is William Marshall (1796–1872)'s father's birthday?", "role": "user" } ]
qa
{ "ground_truth": "27 July 1765", "style": "rule" }
{ "index": 5396, "need_tools_kwargs": true, "question": "When is William Marshall (1796–1872)'s father's birthday?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "A tradesman has three types of items which he deals with. For Item A, he uses a false balance that defrauds to the extent of 30% in buying and selling. For Item B, he defrauds to the extent of 20% in buying and 10% in selling. For Item C, he defrauds 10% in buying and 20% in selling. Considering he spends equal amounts on purchasing all three items, calculate his overall percentage gain on his total outlay. Remember to include the gain percentage for each item as a part of the calculation.\n\nNote: In each case, the defrauding percentage is applied during both buying and selling of the respective item.", "role": "user" } ]
math
{ "ground_truth": "52.18\\%", "style": "rule" }
{ "index": 5397, "need_tools_kwargs": true, "question": "A tradesman has three types of items which he deals with. For Item A, he uses a false balance that defrauds to the extent of 30% in buying and selling. For Item B, he defrauds to the extent of 20% in buying and 10% in selling. For Item C, he defrauds 10% in buying and 20% in selling. Considering he spends equal amounts on purchasing all three items, calculate his overall percentage gain on his total outlay. Remember to include the gain percentage for each item as a part of the calculation.\n\nNote: In each case, the defrauding percentage is applied during both buying and selling of the respective item.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "When is the director of film Your Hands On My Body 's birthday?", "role": "user" } ]
qa
{ "ground_truth": "26 November 1924", "style": "rule" }
{ "index": 5398, "need_tools_kwargs": true, "question": "When is the director of film Your Hands On My Body 's birthday?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of the director of film The Trial Of Lee Harvey Oswald (1964 Film)?", "role": "user" } ]
qa
{ "ground_truth": "December 2, 2004", "style": "rule" }
{ "index": 5399, "need_tools_kwargs": true, "question": "What is the date of death of the director of film The Trial Of Lee Harvey Oswald (1964 Film)?", "split": "train" }
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