data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Collin learned that he could earn $0.25 per aluminum can that he brought into the recycling center. He found 12 cans at home and three times as many at his grandparents' house. His neighbor gave him 46. His dad brought home 250 cans from the office. His dad told him he could keep the money from the cans he brought home from the office if he promised to put half of his entire amount collected into savings. How much money would Collin have to put into savings?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$43.00",
"style": "rule"
}
|
{
"index": 6000,
"need_tools_kwargs": true,
"question": "Collin learned that he could earn $0.25 per aluminum can that he brought into the recycling center. He found 12 cans at home and three times as many at his grandparents' house. His neighbor gave him 46. His dad brought home 250 cans from the office. His dad told him he could keep the money from the cans he brought home from the office if he promised to put half of his entire amount collected into savings. How much money would Collin have to put into savings?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 standard deck of playing cards with $26$ red cards and $26$ black cards is split into two piles, each having at least one card. In pile $A$ there are six times as many black cards as red cards. In pile $B,$ the number of red cards is a multiple of the number of black cards. How many red cards are in pile $B?$",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 6001,
"need_tools_kwargs": true,
"question": "A standard deck of playing cards with $26$ red cards and $26$ black cards is split into two piles, each having at least one card. In pile $A$ there are six times as many black cards as red cards. In pile $B,$ the number of red cards is a multiple of the number of black cards. How many red cards are in pile $B?$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A jar contains 97 marbles that are either red, green, or blue. Neil draws two marbles from the jar without replacement and notes that the probability that they would be the same color is $\\frac{5}{12}$. After Neil puts his marbles back, Jerry draws two marbles from the jar with replacement. Compute the probability that the marbles that Jerry draws are the same color.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{41}{97}",
"style": "rule"
}
|
{
"index": 6002,
"need_tools_kwargs": true,
"question": "A jar contains 97 marbles that are either red, green, or blue. Neil draws two marbles from the jar without replacement and notes that the probability that they would be the same color is $\\frac{5}{12}$. After Neil puts his marbles back, Jerry draws two marbles from the jar with replacement. Compute the probability that the marbles that Jerry draws are the same color.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Summit1g started streaming the battle royale game published by which company?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "PUBG Corp.",
"style": "rule"
}
|
{
"index": 6003,
"need_tools_kwargs": true,
"question": "Summit1g started streaming the battle royale game published by which company?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Misha has accepted a job in the mines and will produce one ore each day. At the market, he can perform the following transactions:\n- Buy or sell one ore for $3.\n- Buy or sell bundles of three wheat for $12 each.\n- Sell one wheat for one ore.\n\nHis ultimate goal is to build a city, which requires:\n- Three ore\n- Two wheat\n\nHow many dollars must Misha begin with in order to build a city after three days of working?",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 6004,
"need_tools_kwargs": true,
"question": "Misha has accepted a job in the mines and will produce one ore each day. At the market, he can perform the following transactions:\n- Buy or sell one ore for $3.\n- Buy or sell bundles of three wheat for $12 each.\n- Sell one wheat for one ore.\n\nHis ultimate goal is to build a city, which requires:\n- Three ore\n- Two wheat\n\nHow many dollars must Misha begin with in order to build a city after three days of working?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the composer of film Trimurti (1974 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "27 June 1939",
"style": "rule"
}
|
{
"index": 6005,
"need_tools_kwargs": true,
"question": "What is the date of birth of the composer of film Trimurti (1974 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": "Points $E$ and $F$ are located on square $ABCD$ so that $\\triangle BEF$ is equilateral. What is the ratio of the area of $\\triangle DEF$ to that of $\\triangle ABE$?\n\n[asy]\npair A,B,C,D,I,F;\nA=(0,0);\nB=(10,0);\nC=(10,10);\nD=(0,10);\nF=(7.4,10);\nI=(0,2.6);\ndraw(B--I--F--cycle,linewidth(0.7));\ndraw(A--B--C--D--cycle,linewidth(0.7));\nlabel(\"$A$\",A,S);\nlabel(\"$B$\",B,S);\nlabel(\"$C$\",C,N);\nlabel(\"$D$\",D,N);\nlabel(\"$E$\",I,W);\nlabel(\"$F$\",F,N);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6006,
"need_tools_kwargs": true,
"question": "Points $E$ and $F$ are located on square $ABCD$ so that $\\triangle BEF$ is equilateral. What is the ratio of the area of $\\triangle DEF$ to that of $\\triangle ABE$?\n\n[asy]\npair A,B,C,D,I,F;\nA=(0,0);\nB=(10,0);\nC=(10,10);\nD=(0,10);\nF=(7.4,10);\nI=(0,2.6);\ndraw(B--I--F--cycle,linewidth(0.7));\ndraw(A--B--C--D--cycle,linewidth(0.7));\nlabel(\"$A$\",A,S);\nlabel(\"$B$\",B,S);\nlabel(\"$C$\",C,N);\nlabel(\"$D$\",D,N);\nlabel(\"$E$\",I,W);\nlabel(\"$F$\",F,N);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Masherbrum and Gudo De Cavaleiro both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6007,
"need_tools_kwargs": true,
"question": "Are Masherbrum and Gudo De Cavaleiro both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both directors of films 5 Raske Piger and A Touch Of The Sun (1979 Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6008,
"need_tools_kwargs": true,
"question": "Are both directors of films 5 Raske Piger and A Touch Of The Sun (1979 Film) from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many solutions in integers \\(x, y\\) does the equation \\( |3x + 2y| + |2x + y| = 100 \\) have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "400",
"style": "rule"
}
|
{
"index": 6009,
"need_tools_kwargs": true,
"question": "How many solutions in integers \\(x, y\\) does the equation \\( |3x + 2y| + |2x + y| = 100 \\) have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Thirty-nine students from seven classes invented 60 problems, with the students from each class inventing the same number of problems (which is not zero), and the students from different classes inventing different numbers of problems. How many students invented one problem each?",
"role": "user"
}
] |
math
|
{
"ground_truth": "33",
"style": "rule"
}
|
{
"index": 6010,
"need_tools_kwargs": true,
"question": "Thirty-nine students from seven classes invented 60 problems, with the students from each class inventing the same number of problems (which is not zero), and the students from different classes inventing different numbers of problems. How many students invented one problem each?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Pakistani cricket umpire who won 3 consecutive ICC umpire of the year awards in 2009, 2010, and 2011 will be in the ICC World Twenty20?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Aleem Sarwar Dar",
"style": "rule"
}
|
{
"index": 6011,
"need_tools_kwargs": true,
"question": "Which Pakistani cricket umpire who won 3 consecutive ICC umpire of the year awards in 2009, 2010, and 2011 will be in the ICC World Twenty20?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Bottom-blown oxygen converter is a furnace developed by the company that is now part of the multinational company of what nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Anglo–Swiss",
"style": "rule"
}
|
{
"index": 6012,
"need_tools_kwargs": true,
"question": "The Bottom-blown oxygen converter is a furnace developed by the company that is now part of the multinational company of what 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": "Where does the latest champion of the Scottish Open live?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "London",
"style": "rule"
}
|
{
"index": 6013,
"need_tools_kwargs": true,
"question": "Where does the latest champion of the Scottish Open live?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "During the regular season, Washington Redskins achieve a record of $10$ wins and $6$ losses. Compute the probability that their wins came in three streaks of consecutive wins, assuming that all possible arrangements of wins and losses are equally likely. (For example, the record $LLWWWWWLWWLWWWLL$ contains three winning streaks, while $WWWWWWWLLLLLLWWW$ has just two.) The original answer is in \\(\\frac{k}{m}\\) format, please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "331",
"style": "rule"
}
|
{
"index": 6014,
"need_tools_kwargs": true,
"question": "During the regular season, Washington Redskins achieve a record of $10$ wins and $6$ losses. Compute the probability that their wins came in three streaks of consecutive wins, assuming that all possible arrangements of wins and losses are equally likely. (For example, the record $LLWWWWWLWWLWWWLL$ contains three winning streaks, while $WWWWWWWLLLLLLWWW$ has just two.) The original answer is in \\(\\frac{k}{m}\\) format, please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given \\( n \\in \\mathbf{N}, n > 4 \\), and the set \\( A = \\{1, 2, \\cdots, n\\} \\). Suppose there exists a positive integer \\( m \\) and sets \\( A_1, A_2, \\cdots, A_m \\) with the following properties:\n1. \\( \\bigcup_{i=1}^{m} A_i = A \\);\n2. \\( |A_i| = 4 \\) for \\( i=1, 2, \\cdots, m \\);\n3. Let \\( X_1, X_2, \\cdots, X_{\\mathrm{C}_n^2} \\) be all the 2-element subsets of \\( A \\). For every \\( X_k \\) \\((k=1, 2, \\cdots, \\mathrm{C}_n^2)\\), there exists a unique \\( j_k \\in\\{1, 2, \\cdots, m\\} \\) such that \\( X_k \\subseteq A_{j_k} \\).\n\nFind the smallest value of \\( n \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 6015,
"need_tools_kwargs": true,
"question": "Given \\( n \\in \\mathbf{N}, n > 4 \\), and the set \\( A = \\{1, 2, \\cdots, n\\} \\). Suppose there exists a positive integer \\( m \\) and sets \\( A_1, A_2, \\cdots, A_m \\) with the following properties:\n1. \\( \\bigcup_{i=1}^{m} A_i = A \\);\n2. \\( |A_i| = 4 \\) for \\( i=1, 2, \\cdots, m \\);\n3. Let \\( X_1, X_2, \\cdots, X_{\\mathrm{C}_n^2} \\) be all the 2-element subsets of \\( A \\). For every \\( X_k \\) \\((k=1, 2, \\cdots, \\mathrm{C}_n^2)\\), there exists a unique \\( j_k \\in\\{1, 2, \\cdots, m\\} \\) such that \\( X_k \\subseteq A_{j_k} \\).\n\nFind the smallest 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": "Jodie Resther starred in which horror fantasy-themed television series?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Are You Afraid of the Dark?",
"style": "rule"
}
|
{
"index": 6016,
"need_tools_kwargs": true,
"question": "Jodie Resther starred in which horror fantasy-themed television 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": "Which country the composer of song Silver Bells is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 6017,
"need_tools_kwargs": true,
"question": "Which country the composer of song Silver Bells is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what 1942 British romance film did actress/singer Jane Birkin's mother star in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Breach of Promise",
"style": "rule"
}
|
{
"index": 6018,
"need_tools_kwargs": true,
"question": "In what 1942 British romance film did actress/singer Jane Birkin's mother star in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Journey Through Rosebud stars an actress who won a BAFTA Award for Best Actress for her role in what film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Butch Cassidy and the Sundance Kid\"",
"style": "rule"
}
|
{
"index": 6019,
"need_tools_kwargs": true,
"question": "Journey Through Rosebud stars an actress who won a BAFTA Award for Best Actress for her role 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": "已知抛物线 $y^{2}=6 x$ 上的两个动点 $A\\left(x_{1}, y_{1}\\right)$ 和 $B\\left(x_{2}, y_{2}\\right)$, 其中 $x_{1} \\neq x_{2}$ 且 $x_{1}+x_{2}=4$. 线段 $A B$ 的垂直平分线与 $x$ 轴交于点 $C$, 求 $\\triangle A B C$ 面积的最大值。原始答案为 $\\frac{m}{n} \\sqrt{k}$ 的形式，请给出 m + n + k 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 6020,
"need_tools_kwargs": true,
"question": "已知抛物线 $y^{2}=6 x$ 上的两个动点 $A\\left(x_{1}, y_{1}\\right)$ 和 $B\\left(x_{2}, y_{2}\\right)$, 其中 $x_{1} \\neq x_{2}$ 且 $x_{1}+x_{2}=4$. 线段 $A B$ 的垂直平分线与 $x$ 轴交于点 $C$, 求 $\\triangle A B C$ 面积的最大值。原始答案为 $\\frac{m}{n} \\sqrt{k}$ 的形式，请给出 m + n + k 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": "Given that the radius of circle $O$ is $2$, and its inscribed triangle $ABC$ satisfies $c^{2}-a^{2}=4( \\sqrt {3}c-b)\\sin B$, where $a$, $b$, and $c$ are the sides opposite to angles $A$, $B$, and $C$, respectively.\n(I) Find angle $A$;\n(II) Find the maximum area $S$ of triangle $ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2+\\sqrt{3}",
"style": "rule"
}
|
{
"index": 6021,
"need_tools_kwargs": true,
"question": "Given that the radius of circle $O$ is $2$, and its inscribed triangle $ABC$ satisfies $c^{2}-a^{2}=4( \\sqrt {3}c-b)\\sin B$, where $a$, $b$, and $c$ are the sides opposite to angles $A$, $B$, and $C$, respectively.\n(I) Find angle $A$;\n(II) Find the maximum area $S$ 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": "Ross Clifford had a radio program on the radio station that is on what AM frequency?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1170 kHz",
"style": "rule"
}
|
{
"index": 6022,
"need_tools_kwargs": true,
"question": "Ross Clifford had a radio program on the radio station that is on what AM frequency?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 range of the function\n\\[k(x) = \\frac{2x + 7}{x - 3}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-\\infty,2) \\cup (2,\\infty)",
"style": "rule"
}
|
{
"index": 6023,
"need_tools_kwargs": true,
"question": "Find the range of the function\n\\[k(x) = \\frac{2x + 7}{x - 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": "The actress of Julie Mora Cooper Hovath played which role in the sitom One Day at a Time?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "a divorced mother",
"style": "rule"
}
|
{
"index": 6024,
"need_tools_kwargs": true,
"question": "The actress of Julie Mora Cooper Hovath played which role in the sitom One Day at a Time?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Did Eric Bengtson and Mara Keisling have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6025,
"need_tools_kwargs": true,
"question": "Did Eric Bengtson and Mara Keisling 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": "Which film was released first, Dil Vil Pyaar Vyaar or Friend: The Great Legacy?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Friend: The Great Legacy",
"style": "rule"
}
|
{
"index": 6026,
"need_tools_kwargs": true,
"question": "Which film was released first, Dil Vil Pyaar Vyaar or Friend: The Great Legacy?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 an equilateral triangle \\(ABC\\). Point \\(K\\) is the midpoint of side \\(AB\\), point \\(M\\) lies on side \\(BC\\) such that \\(BM : MC = 1 : 3\\). On side \\(AC\\), point \\(P\\) is chosen such that the perimeter of triangle \\(PKM\\) is minimized. In what ratio does point \\(P\\) divide side \\(AC\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2:3",
"style": "rule"
}
|
{
"index": 6027,
"need_tools_kwargs": true,
"question": "Given an equilateral triangle \\(ABC\\). Point \\(K\\) is the midpoint of side \\(AB\\), point \\(M\\) lies on side \\(BC\\) such that \\(BM : MC = 1 : 3\\). On side \\(AC\\), point \\(P\\) is chosen such that the perimeter of triangle \\(PKM\\) is minimized. In what ratio does point \\(P\\) divide side \\(AC\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Take a unit sphere \\(S\\), i.e., a sphere with radius 1. Circumscribe a cube \\(C\\) about \\(S\\), and inscribe a cube \\(D\\) in \\(S\\) such that every edge of cube \\(C\\) is parallel to some edge of cube \\(D\\). What is the shortest possible distance from a point on a face of \\(C\\) to a point on a face of \\(D\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1 - \\frac{\\sqrt{3}}{3}",
"style": "rule"
}
|
{
"index": 6028,
"need_tools_kwargs": true,
"question": "Take a unit sphere \\(S\\), i.e., a sphere with radius 1. Circumscribe a cube \\(C\\) about \\(S\\), and inscribe a cube \\(D\\) in \\(S\\) such that every edge of cube \\(C\\) is parallel to some edge of cube \\(D\\). What is the shortest possible distance from a point on a face of \\(C\\) to a point on a face of \\(D\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the director of film Pesadilla Para Un Rico born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 August 1921",
"style": "rule"
}
|
{
"index": 6029,
"need_tools_kwargs": true,
"question": "When was the director of film Pesadilla Para Un Rico 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": "James Young and Michael Jones, share which common occupations?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "film director and screenwriter",
"style": "rule"
}
|
{
"index": 6030,
"need_tools_kwargs": true,
"question": "James Young and Michael Jones, share which common occupations?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a nonnegative integer $n$, let $r_9(n)$ stand for the remainder left when $n$ is divided by $9.$ For example, $r_9(25)=7.$\n\nWhat is the $22^{\\text{nd}}$ entry in an ordered list of all nonnegative integers $n$ that satisfy $$r_9(5n)\\le 4~?$$(Note that the first entry in this list is $0$.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "38",
"style": "rule"
}
|
{
"index": 6031,
"need_tools_kwargs": true,
"question": "For a nonnegative integer $n$, let $r_9(n)$ stand for the remainder left when $n$ is divided by $9.$ For example, $r_9(25)=7.$\n\nWhat is the $22^{\\text{nd}}$ entry in an ordered list of all nonnegative integers $n$ that satisfy $$r_9(5n)\\le 4~?$$(Note that the first entry in this list is $0$.)",
"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": "Do both films Say It With Flowers and Boot Hill Bandits have the directors that share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6032,
"need_tools_kwargs": true,
"question": "Do both films Say It With Flowers and Boot Hill Bandits 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": "In the Cartesian coordinate system $xOy$, the equation of curve $C_{1}$ is $x^{2}+y^{2}-4x=0$. The parameter equation of curve $C_{2}$ is $\\left\\{\\begin{array}{l}x=\\cos\\beta\\\\ y=1+\\sin\\beta\\end{array}\\right.$ ($\\beta$ is the parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive $x$-axis as the polar axis.<br/>$(1)$ Find the polar coordinate equations of curves $C_{1}$ and $C_{2}$;<br/>$(2)$ If the ray $\\theta =\\alpha (\\rho \\geqslant 0$, $0＜\\alpha＜\\frac{π}{2})$ intersects curve $C_{1}$ at point $P$, the line $\\theta=\\alpha+\\frac{π}{2}(\\rho∈R)$ intersects curves $C_{1}$ and $C_{2}$ at points $M$ and $N$ respectively, and points $P$, $M$, $N$ are all different from point $O$, find the maximum value of the area of $\\triangle MPN$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{5} + 2",
"style": "rule"
}
|
{
"index": 6033,
"need_tools_kwargs": true,
"question": "In the Cartesian coordinate system $xOy$, the equation of curve $C_{1}$ is $x^{2}+y^{2}-4x=0$. The parameter equation of curve $C_{2}$ is $\\left\\{\\begin{array}{l}x=\\cos\\beta\\\\ y=1+\\sin\\beta\\end{array}\\right.$ ($\\beta$ is the parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive $x$-axis as the polar axis.<br/>$(1)$ Find the polar coordinate equations of curves $C_{1}$ and $C_{2}$;<br/>$(2)$ If the ray $\\theta =\\alpha (\\rho \\geqslant 0$, $0＜\\alpha＜\\frac{π}{2})$ intersects curve $C_{1}$ at point $P$, the line $\\theta=\\alpha+\\frac{π}{2}(\\rho∈R)$ intersects curves $C_{1}$ and $C_{2}$ at points $M$ and $N$ respectively, and points $P$, $M$, $N$ are all different from point $O$, find the maximum value of the area of $\\triangle MPN$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Snowshoe Peak is the highest peak in a part of the Rocky Mountains that cover how many square miles?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2,134",
"style": "rule"
}
|
{
"index": 6034,
"need_tools_kwargs": true,
"question": " Snowshoe Peak is the highest peak in a part of the Rocky Mountains that cover how many square miles?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On November 2, 2010, John Spratt lost to an AMerican politician who served in the South Carolina General Assembly from 2007 until when?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2011",
"style": "rule"
}
|
{
"index": 6035,
"need_tools_kwargs": true,
"question": "On November 2, 2010, John Spratt lost to an AMerican politician who served in the South Carolina General Assembly from 2007 until when?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 band is this American drummer currently member of, whom Annihilator's album \"All for You\" featured for the second time?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dream Theater",
"style": "rule"
}
|
{
"index": 6036,
"need_tools_kwargs": true,
"question": "Which band is this American drummer currently member of, whom Annihilator's album \"All for You\" featured for the second time?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 January 2012, which team represented the Urraca Clube de Futbol in its opening game? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Spain national under-17 football team",
"style": "rule"
}
|
{
"index": 6037,
"need_tools_kwargs": true,
"question": "In January 2012, which team represented the Urraca Clube de Futbol in its opening game? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x) = x^3 - x^2 - 10x$, and the set $A = \\{x | f'(x) \\leq 0\\}$, set $B = \\{x | p + 1 \\leq x \\leq 2p - 1\\}$. If $A \\cup B = A$, find the range of values for $p$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "p \\leq 3",
"style": "rule"
}
|
{
"index": 6038,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = x^3 - x^2 - 10x$, and the set $A = \\{x | f'(x) \\leq 0\\}$, set $B = \\{x | p + 1 \\leq x \\leq 2p - 1\\}$. If $A \\cup B = A$, find the range of values for $p$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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: Blondes by Choice and The Red-Haired Alibi have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 6039,
"need_tools_kwargs": true,
"question": "Do both films: Blondes by Choice and The Red-Haired Alibi 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": "Given that in the polar coordinate system, the equation of the curve $\\Omega$ is $\\rho=6\\cos \\theta$. With the pole as the origin of the rectangular coordinate system, the polar axis as the positive semi-axis of the $x$-axis, and the same length unit in both coordinate systems, establish a rectangular coordinate system. The parametric equations of line $l$ are $\\begin{cases} x=4+t\\cos \\theta \\\\ y=-1+t\\sin \\theta \\end{cases} (t \\text{ is a parameter, } \\theta \\in \\mathbb{R})$.\n\n(I) Find the rectangular coordinate equation of the curve $\\Omega$ and the general equation of line $l$.\n\n(II) Suppose line $l$ intersects curve $\\Omega$ at points $A$ and $C$. Line $l_0$, which passes through point $(4,-1)$ and is perpendicular to line $l$, intersects curve $\\Omega$ at points $B$ and $D$. Find the maximum area of quadrilateral $ABCD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 6040,
"need_tools_kwargs": true,
"question": "Given that in the polar coordinate system, the equation of the curve $\\Omega$ is $\\rho=6\\cos \\theta$. With the pole as the origin of the rectangular coordinate system, the polar axis as the positive semi-axis of the $x$-axis, and the same length unit in both coordinate systems, establish a rectangular coordinate system. The parametric equations of line $l$ are $\\begin{cases} x=4+t\\cos \\theta \\\\ y=-1+t\\sin \\theta \\end{cases} (t \\text{ is a parameter, } \\theta \\in \\mathbb{R})$.\n\n(I) Find the rectangular coordinate equation of the curve $\\Omega$ and the general equation of line $l$.\n\n(II) Suppose line $l$ intersects curve $\\Omega$ at points $A$ and $C$. Line $l_0$, which passes through point $(4,-1)$ and is perpendicular to line $l$, intersects curve $\\Omega$ at points $B$ and $D$. Find the maximum area of quadrilateral $ABCD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 universal set $U=\\\\{(x,y)|x, y∈R\\\\}$, set $M=\\\\{(x,y)| \\\\dfrac {y+2}{x-2}=1\\\\}$, and set $N=\\\\{(x,y)|y\\\\neq x-4\\\\}$, determine the value of $((∁\\_{U}M)∩(∁\\_{U}N))$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{(2,-2)\\}",
"style": "rule"
}
|
{
"index": 6041,
"need_tools_kwargs": true,
"question": "Given the universal set $U=\\\\{(x,y)|x, y∈R\\\\}$, set $M=\\\\{(x,y)| \\\\dfrac {y+2}{x-2}=1\\\\}$, and set $N=\\\\{(x,y)|y\\\\neq x-4\\\\}$, determine the value of $((∁\\_{U}M)∩(∁\\_{U}N))$.",
"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": "Twelve tiles are numbered $1, 2, 3, \\cdots, 12$. Half of these tiles are odd numbered and half are even numbered. Each of three players randomly selects and keeps four of the tiles and sums those four values. Find the probability that all three players obtain an odd sum using the format $m/n$, where $m$ and $n$ are relatively prime integers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{800}{963}",
"style": "rule"
}
|
{
"index": 6042,
"need_tools_kwargs": true,
"question": "Twelve tiles are numbered $1, 2, 3, \\cdots, 12$. Half of these tiles are odd numbered and half are even numbered. Each of three players randomly selects and keeps four of the tiles and sums those four values. Find the probability that all three players obtain an odd sum using the format $m/n$, where $m$ and $n$ are relatively prime integers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the performer of song Everything You Want (Ray J Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "McComb",
"style": "rule"
}
|
{
"index": 6043,
"need_tools_kwargs": true,
"question": "What is the place of birth of the performer of song Everything You Want (Ray J Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A math teacher is 176 cm tall. The heights of his grandfather, father, and son are 173 cm, 170 cm, and 182 cm, respectively. Since the son's height is related to the father's height, the teacher uses the method of linear regression analysis to predict his grandson's height as ______ cm.",
"role": "user"
}
] |
math
|
{
"ground_truth": "185",
"style": "rule"
}
|
{
"index": 6044,
"need_tools_kwargs": true,
"question": "A math teacher is 176 cm tall. The heights of his grandfather, father, and son are 173 cm, 170 cm, and 182 cm, respectively. Since the son's height is related to the father's height, the teacher uses the method of linear regression analysis to predict his grandson's height as ______ cm.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 South African stand-up comedian and actor performed as a member of what, and appeared in the largest city in the South African province of KwaZulu-Natal?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Joe Parker's Comedy Express",
"style": "rule"
}
|
{
"index": 6045,
"need_tools_kwargs": true,
"question": "The South African stand-up comedian and actor performed as a member of what, and appeared in the largest city in the South African province of KwaZulu-Natal?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what city was Shirin Neshat's first solo exhibition?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "New York City",
"style": "rule"
}
|
{
"index": 6046,
"need_tools_kwargs": true,
"question": "In what city was Shirin Neshat's first solo exhibition?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Grief Street?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 1, 1991",
"style": "rule"
}
|
{
"index": 6047,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Grief Street?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( a, b, c, d \\) be real numbers. Find the minimum value of\n$$\n\\sum a^{2}+\\sum ab+\\sum a\n$$\nwhere \\( \\sum \\) represents the cyclic sum.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{2}{5}",
"style": "rule"
}
|
{
"index": 6048,
"need_tools_kwargs": true,
"question": "Let \\( a, b, c, d \\) be real numbers. Find the minimum value of\n$$\n\\sum a^{2}+\\sum ab+\\sum a\n$$\nwhere \\( \\sum \\) represents the cyclic sum.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Every day at noon, a mail steamer leaves from Le Havre to New York, and at the same time, another steamer from the same company leaves New York for Le Havre. Each of these steamers takes exactly seven days to complete their journey, and they travel the same route.\n\nHow many steamers from the same company will a steamer traveling from Le Havre to New York meet on its way?",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 6049,
"need_tools_kwargs": true,
"question": "Every day at noon, a mail steamer leaves from Le Havre to New York, and at the same time, another steamer from the same company leaves New York for Le Havre. Each of these steamers takes exactly seven days to complete their journey, and they travel the same route.\n\nHow many steamers from the same company will a steamer traveling from Le Havre to New York meet on its way?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the father of Bobo Craxi born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Milan",
"style": "rule"
}
|
{
"index": 6050,
"need_tools_kwargs": true,
"question": "Where was the father of Bobo Craxi 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": "Typhoon Amy originated near what land mass that is part of the Republic of Marshall Islands?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Amy developed from an area of low pressure near the Kwajalein Atoll",
"style": "rule"
}
|
{
"index": 6051,
"need_tools_kwargs": true,
"question": "Typhoon Amy originated near what land mass that is part of the Republic of Marshall Islands?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 an isosceles trapezoid \\(ABCD\\), where \\(AD \\parallel BC\\), \\(BC = 2AD = 4\\), \\(\\angle ABC = 60^\\circ\\), and \\(\\overrightarrow{CE} = \\frac{1}{3} \\overrightarrow{CD}\\), find \\(\\overrightarrow{CA} \\cdot \\overrightarrow{BE}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-10",
"style": "rule"
}
|
{
"index": 6052,
"need_tools_kwargs": true,
"question": "Given an isosceles trapezoid \\(ABCD\\), where \\(AD \\parallel BC\\), \\(BC = 2AD = 4\\), \\(\\angle ABC = 60^\\circ\\), and \\(\\overrightarrow{CE} = \\frac{1}{3} \\overrightarrow{CD}\\), find \\(\\overrightarrow{CA} \\cdot \\overrightarrow{BE}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "给定正整数 \\( n \\)。求最小的实数 \\( c \\)，使得对任意和为 1 的正实数 \\( a_1, a_2, \\cdots, a_n \\)，都有 \\(\\sum_{i=1}^{n}\\sum_{j=1}^{n}a_i^{a_j}\\leq c\\)。已知原始答案为 \\( an^2 + bn + c \\) 的形式，请给出 \\( a + b + c \\) 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6053,
"need_tools_kwargs": true,
"question": "给定正整数 \\( n \\)。求最小的实数 \\( c \\)，使得对任意和为 1 的正实数 \\( a_1, a_2, \\cdots, a_n \\)，都有 \\(\\sum_{i=1}^{n}\\sum_{j=1}^{n}a_i^{a_j}\\leq c\\)。已知原始答案为 \\( an^2 + bn + c \\) 的形式，请给出 \\( a + b + c \\) 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": "Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $102, which she typically uses for gifts and charitable causes. What is Jill's net monthly salary?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$3400",
"style": "rule"
}
|
{
"index": 6054,
"need_tools_kwargs": true,
"question": "Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $102, which she typically uses for gifts and charitable causes. What is Jill's net monthly salary?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 distance between points $A$ and $B$ is 500 kilometers. Two cyclists, Alpha and Beta, start from point $A$ to point $B$ at the same time. Alpha cycles 30 kilometers per day, and Beta cycles 50 kilometers per day but rests every other day. At the end of the $\\qquad$ day, the remaining distance Beta has to travel to point $B$ is twice the remaining distance Alpha has to travel.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 6055,
"need_tools_kwargs": true,
"question": "The distance between points $A$ and $B$ is 500 kilometers. Two cyclists, Alpha and Beta, start from point $A$ to point $B$ at the same time. Alpha cycles 30 kilometers per day, and Beta cycles 50 kilometers per day but rests every other day. At the end of the $\\qquad$ day, the remaining distance Beta has to travel to point $B$ is twice the remaining distance Alpha has to travel.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\sin \\frac{\\alpha}{2}-2 \\cos \\frac{\\alpha}{2}=1$, find the value of $\\frac{1+\\sin \\alpha+\\cos \\alpha}{1+\\sin \\alpha-\\cos \\alpha}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 6056,
"need_tools_kwargs": true,
"question": "Given $\\sin \\frac{\\alpha}{2}-2 \\cos \\frac{\\alpha}{2}=1$, find the value of $\\frac{1+\\sin \\alpha+\\cos \\alpha}{1+\\sin \\alpha-\\cos \\alpha}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sum was put at simple interest at a certain rate for 3 years. Had it been put at a higher rate, it would have fetched $81 more. The sum is $900. What is the difference in percentage between the original rate and the higher rate?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.33\\%",
"style": "rule"
}
|
{
"index": 6057,
"need_tools_kwargs": true,
"question": "A sum was put at simple interest at a certain rate for 3 years. Had it been put at a higher rate, it would have fetched $81 more. The sum is $900. What is the difference in percentage between the original rate and the higher rate?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\lg 2=0.3010$ and $\\lg 3=0.4771$, find the approximate value of $x$ when $3^{x+3}=135$.\n\n(A) 5 \n(B) 1.47 \n(C) 1.67 \n(D) 1.78 \n(E) 1.63",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.47",
"style": "rule"
}
|
{
"index": 6058,
"need_tools_kwargs": true,
"question": "Given $\\lg 2=0.3010$ and $\\lg 3=0.4771$, find the approximate value of $x$ when $3^{x+3}=135$.\n\n(A) 5 \n(B) 1.47 \n(C) 1.67 \n(D) 1.78 \n(E) 1.63",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rectangle \\(ABCD\\) where point \\(E\\) lies on side \\(AB\\) between points \\(A\\) and \\(B\\), and point \\(F\\) lies on side \\(AD\\) between points \\(A\\) and \\(D\\). You are given the areas of the following triangles: the area of triangle \\(EBC\\) is \\(16\\), the area of triangle \\(EAF\\) is \\(12\\), and the area of triangle \\(FDC\\) is \\(30\\). Calculate the area of triangle \\(EFC\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "38",
"style": "rule"
}
|
{
"index": 6059,
"need_tools_kwargs": true,
"question": "Consider a rectangle \\(ABCD\\) where point \\(E\\) lies on side \\(AB\\) between points \\(A\\) and \\(B\\), and point \\(F\\) lies on side \\(AD\\) between points \\(A\\) and \\(D\\). You are given the areas of the following triangles: the area of triangle \\(EBC\\) is \\(16\\), the area of triangle \\(EAF\\) is \\(12\\), and the area of triangle \\(FDC\\) is \\(30\\). Calculate the area of triangle \\(EFC\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Garden. The four sides of the garden are 20, 16, 12, and 10 meters, and its area is maximal with these dimensions. What is the area?",
"role": "user"
}
] |
math
|
{
"ground_truth": "194.40",
"style": "rule"
}
|
{
"index": 6060,
"need_tools_kwargs": true,
"question": "Garden. The four sides of the garden are 20, 16, 12, and 10 meters, and its area is maximal with these dimensions. What is the area?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 coefficient of $x^{50}$ in\n\\[(1 + x)^{1000} + 2x (1 + x)^{999} + 3x^2 (1 + x)^{998} + \\dots + 1001x^{1000}\\]can be expressed in the form $\\binom{n}{k}.$ Find the smallest possible value of $n + k.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1052",
"style": "rule"
}
|
{
"index": 6061,
"need_tools_kwargs": true,
"question": "The coefficient of $x^{50}$ in\n\\[(1 + x)^{1000} + 2x (1 + x)^{999} + 3x^2 (1 + x)^{998} + \\dots + 1001x^{1000}\\]can be expressed in the form $\\binom{n}{k}.$ Find the smallest possible value of $n + k.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the composer of song Polly (Nirvana Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Aberdeen",
"style": "rule"
}
|
{
"index": 6062,
"need_tools_kwargs": true,
"question": "What is the place of birth of the composer of song Polly (Nirvana Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A vessel of capacity 2 liters has a certain percentage of alcohol and another vessel of capacity 6 liters has 50% alcohol. The total liquid of 8 liters was poured out into a vessel of capacity 10 liters and the rest of the vessel was filled with water. The new concentration of the mixture is 37%. What is the percentage of alcohol in the first vessel?",
"role": "user"
}
] |
math
|
{
"ground_truth": "35\\%",
"style": "rule"
}
|
{
"index": 6063,
"need_tools_kwargs": true,
"question": "A vessel of capacity 2 liters has a certain percentage of alcohol and another vessel of capacity 6 liters has 50% alcohol. The total liquid of 8 liters was poured out into a vessel of capacity 10 liters and the rest of the vessel was filled with water. The new concentration of the mixture is 37%. What is the percentage of alcohol in the first vessel?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 domain of the real number \\( y = \\log_2 \\left[ a x^2 + (a-1) x + \\frac{1}{4} \\right] \\) is all real numbers, find the range of values of the real number \\( a \\). \n\nA. \\((0, \\frac{3+\\sqrt{5}}{2})\\)\n\nB. \\((\\frac{3-\\sqrt{5}}{2}, 1)\\)\n\nC. \\((-\\infty, \\frac{3-\\sqrt{5}}{2}) \\cup (\\frac{3+\\sqrt{5}}{2},+\\infty)\\)\n\nD. \\((\\frac{3-\\sqrt{5}}{2}, \\frac{3+\\sqrt{5}}{2})\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "(\\frac{3 - \\sqrt{5}}{2}, \\frac{3 + \\sqrt{5}}{2})",
"style": "rule"
}
|
{
"index": 6064,
"need_tools_kwargs": true,
"question": "Given that the domain of the real number \\( y = \\log_2 \\left[ a x^2 + (a-1) x + \\frac{1}{4} \\right] \\) is all real numbers, find the range of values of the real number \\( a \\). \n\nA. \\((0, \\frac{3+\\sqrt{5}}{2})\\)\n\nB. \\((\\frac{3-\\sqrt{5}}{2}, 1)\\)\n\nC. \\((-\\infty, \\frac{3-\\sqrt{5}}{2}) \\cup (\\frac{3+\\sqrt{5}}{2},+\\infty)\\)\n\nD. \\((\\frac{3-\\sqrt{5}}{2}, \\frac{3+\\sqrt{5}}{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": "The Kakube Festival is celebrated by people in the capital of what district of the Upper West Region of Ghana?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Nandom district",
"style": "rule"
}
|
{
"index": 6065,
"need_tools_kwargs": true,
"question": "The Kakube Festival is celebrated by people in the capital of what district of the Upper West Region of Ghana?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Laura and her grandmother Ana just discovered that last year, their ages were divisible by 8 and that next year, their ages will be divisible by 7. Grandma Ana is not yet 100 years old. What is Laura's age?",
"role": "user"
}
] |
math
|
{
"ground_truth": "41",
"style": "rule"
}
|
{
"index": 6066,
"need_tools_kwargs": true,
"question": "Laura and her grandmother Ana just discovered that last year, their ages were divisible by 8 and that next year, their ages will be divisible by 7. Grandma Ana is not yet 100 years old. What is Laura'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": "When was the director of film Battles Of Chief Pontiac born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "February 28, 1910",
"style": "rule"
}
|
{
"index": 6067,
"need_tools_kwargs": true,
"question": "When was the director of film Battles Of Chief Pontiac born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The extensions of the sides \\(AB\\) and \\(CD\\) of trapezoid \\(ABCD\\) intersect at point \\(E\\). Find the sides of triangle \\(AED\\) if \\(AB = 3\\), \\(BC = 10\\), \\(CD = 4\\), \\(AD = 12\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2.5, \\, 3.33",
"style": "rule"
}
|
{
"index": 6068,
"need_tools_kwargs": true,
"question": "The extensions of the sides \\(AB\\) and \\(CD\\) of trapezoid \\(ABCD\\) intersect at point \\(E\\). Find the sides of triangle \\(AED\\) if \\(AB = 3\\), \\(BC = 10\\), \\(CD = 4\\), \\(AD = 12\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Mother (1955 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Moscow",
"style": "rule"
}
|
{
"index": 6069,
"need_tools_kwargs": true,
"question": "Where did the director of film Mother (1955 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If $\\triangle ABC \\cong \\triangle DEF$, $\\angle A = 100^{\\circ}$, and $\\angle E = 60^{\\circ}$, then $\\angle C =$ ____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "20^{\\circ}",
"style": "rule"
}
|
{
"index": 6070,
"need_tools_kwargs": true,
"question": "If $\\triangle ABC \\cong \\triangle DEF$, $\\angle A = 100^{\\circ}$, and $\\angle E = 60^{\\circ}$, then $\\angle C =$ ____.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What other team did the Baker Mayfield play for before taking Trevor Knight's position?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Texas Tech Red Raiders",
"style": "rule"
}
|
{
"index": 6071,
"need_tools_kwargs": true,
"question": "What other team did the Baker Mayfield play for before taking Trevor Knight's position?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 regular octagon $ABCDEFGH$ has sides of length two. Find the area of $\\triangle ADG$. The original answer is in the form k + m\\sqrt{2}, where k and m are integers. Please find the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 6072,
"need_tools_kwargs": true,
"question": "A regular octagon $ABCDEFGH$ has sides of length two. Find the area of $\\triangle ADG$. The original answer is in the form k + m\\sqrt{2}, where k and m are integers. Please find the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which character did Coy Stewart play in the sitcom that was premiered on nickelodeon on January 17 2015 starring Brec Bassinger, Coy Stewart, Jackie Radinsky, Buddy Handleson, Lilimar, Haley Tju, and Rio Mangini?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Troy",
"style": "rule"
}
|
{
"index": 6073,
"need_tools_kwargs": true,
"question": "Which character did Coy Stewart play in the sitcom that was premiered on nickelodeon on January 17 2015 starring Brec Bassinger, Coy Stewart, Jackie Radinsky, Buddy Handleson, Lilimar, Haley Tju, and Rio Mangini?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ABC Family series is one of the stars of the 2015 American drama film Rosemont best known for her role in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Make It or Break It\"",
"style": "rule"
}
|
{
"index": 6074,
"need_tools_kwargs": true,
"question": "What ABC Family series is one of the stars of the 2015 American drama film Rosemont best known for her role in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find continuous functions $ f(x),\\ g(x)$ which takes positive value for any real number $ x$ , satisfying $ g(x)\\equal{}\\int_0^x f(t)\\ dt$ and $ \\{f(x)\\}^2\\minus{}\\{g(x)\\}^2\\equal{}1$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": " f(x) = \\pm \\cosh(x) ",
"style": "rule"
}
|
{
"index": 6075,
"need_tools_kwargs": true,
"question": "Find continuous functions $ f(x),\\ g(x)$ which takes positive value for any real number $ x$ , satisfying $ g(x)\\equal{}\\int_0^x f(t)\\ dt$ and $ \\{f(x)\\}^2\\minus{}\\{g(x)\\}^2\\equal{}1$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Admiral Ackbar needs to send a 5-character message through hyperspace to the Rebels. Each character is a lowercase letter, and the same letter may appear more than once in a message. When the message is beamed through hyperspace, the characters come out in a random order. Ackbar chooses his message so that the Rebels have at least a $\\frac{1}{2}$ chance of getting the same message he sent. How many distinct messages could he send?",
"role": "user"
}
] |
math
|
{
"ground_truth": "26",
"style": "rule"
}
|
{
"index": 6076,
"need_tools_kwargs": true,
"question": "Admiral Ackbar needs to send a 5-character message through hyperspace to the Rebels. Each character is a lowercase letter, and the same letter may appear more than once in a message. When the message is beamed through hyperspace, the characters come out in a random order. Ackbar chooses his message so that the Rebels have at least a $\\frac{1}{2}$ chance of getting the same message he sent. How many distinct messages could he send?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $P$ be a point inside regular pentagon $A B C D E$ such that $\\angle P A B=48^{\\circ}$ and $\\angle P D C=42^{\\circ}$. Find $\\angle B P C$, in degrees.",
"role": "user"
}
] |
math
|
{
"ground_truth": "84^{\\circ}",
"style": "rule"
}
|
{
"index": 6077,
"need_tools_kwargs": true,
"question": "Let $P$ be a point inside regular pentagon $A B C D E$ such that $\\angle P A B=48^{\\circ}$ and $\\angle P D C=42^{\\circ}$. Find $\\angle B P C$, in degrees.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 race, four cars each independently run timed laps around a circuit. Each car's lap time is discretely measured in seconds and can be any integer value between 150 and 155 seconds, uniformly distributed. The winner is the car with the shortest lap time. In case of a tie, the involved cars re-run the lap until a single winner is determined. What is the probability that Maria's first lap time was 152 seconds, given that she won the race?\nA) $\\frac{1}{8}$ \nB) $\\frac{1}{6}$ \nC) $\\frac{1}{4}$ \nD) $\\frac{1}{3}$ \nE) $\\frac{1}{2}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{3}",
"style": "rule"
}
|
{
"index": 6078,
"need_tools_kwargs": true,
"question": "In a race, four cars each independently run timed laps around a circuit. Each car's lap time is discretely measured in seconds and can be any integer value between 150 and 155 seconds, uniformly distributed. The winner is the car with the shortest lap time. In case of a tie, the involved cars re-run the lap until a single winner is determined. What is the probability that Maria's first lap time was 152 seconds, given that she won the race?\nA) $\\frac{1}{8}$ \nB) $\\frac{1}{6}$ \nC) $\\frac{1}{4}$ \nD) $\\frac{1}{3}$ \nE) $\\frac{1}{2}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the lateral surface area of a regular triangular pyramid if the plane angle at its apex is $90^{\\circ}$ and the area of the base is $S$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "S \\sqrt{3}",
"style": "rule"
}
|
{
"index": 6079,
"need_tools_kwargs": true,
"question": "Find the lateral surface area of a regular triangular pyramid if the plane angle at its apex is $90^{\\circ}$ and the area of the base is $S$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What groundbreaking composer is the actor who plays Schwerner in Murder in Mississippi, best known for portraying?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Wolfgang Amadeus Mozart",
"style": "rule"
}
|
{
"index": 6080,
"need_tools_kwargs": true,
"question": "What groundbreaking composer is the actor who plays Schwerner in Murder in Mississippi, best known for portraying?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 distance between the line $ax + 4y - a = 0$ and the line $6x + 8y + 5 = 0$, which are parallel, is _________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.1",
"style": "rule"
}
|
{
"index": 6081,
"need_tools_kwargs": true,
"question": "The distance between the line $ax + 4y - a = 0$ and the line $6x + 8y + 5 = 0$, which are parallel, 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": "Are Pagodar, Faryab and Gowjeh Kand located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 6082,
"need_tools_kwargs": true,
"question": "Are Pagodar, Faryab and Gowjeh Kand 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": "Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of rhombus $ABCD$ is $24$, and $\\angle BAD = 60^\\circ$. What is the area of rhombus $BFDE$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 6083,
"need_tools_kwargs": true,
"question": "Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of rhombus $ABCD$ is $24$, and $\\angle BAD = 60^\\circ$. What is the area of rhombus $BFDE$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many ounces of a 60 % salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is a certain percentage salt? The required amount of the 60% salt solution is 70 ounces.",
"role": "user"
}
] |
math
|
{
"ground_truth": "40\\%",
"style": "rule"
}
|
{
"index": 6084,
"need_tools_kwargs": true,
"question": "How many ounces of a 60 % salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is a certain percentage salt? The required amount of the 60% salt solution is 70 ounces.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For real numbers $a,$ $b,$ and $c,$ the matrix\n\\[\n\\begin{pmatrix}\na^2 & b^2 & c^2 \\\\\nb^2 & c^2 & a^2 \\\\\nc^2 & a^2 & b^2\n\\end{pmatrix}\n\\]\nis not invertible. List all possible values of\n\\[\n\\frac{a^2}{b^2 + c^2} + \\frac{b^2}{a^2 + c^2} + \\frac{c^2}{a^2 + b^2}.\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{2}",
"style": "rule"
}
|
{
"index": 6085,
"need_tools_kwargs": true,
"question": "For real numbers $a,$ $b,$ and $c,$ the matrix\n\\[\n\\begin{pmatrix}\na^2 & b^2 & c^2 \\\\\nb^2 & c^2 & a^2 \\\\\nc^2 & a^2 & b^2\n\\end{pmatrix}\n\\]\nis not invertible. List all possible values of\n\\[\n\\frac{a^2}{b^2 + c^2} + \\frac{b^2}{a^2 + c^2} + \\frac{c^2}{a^2 + b^2}.\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": "For an integer $n\\ge 3$ and a permutation $\\sigma=(p_{1},p_{2},\\cdots ,p_{n})$ of $\\{1,2,\\cdots , n\\}$ , we say $p_{l}$ is a $landmark$ point if $2\\le l\\le n-1$ and $(p_{l-1}-p_{l})(p_{l+1}-p_{l})>0$ . For example , for $n=7$ ,\nthe permutation $(2,7,6,4,5,1,3)$ has four landmark points: $p_{2}=7$ , $p_{4}=4$ , $p_{5}=5$ and $p_{6}=1$ . For a given $n\\ge 3$ , let $L(n)$ denote the number of permutations of $\\{1,2,\\cdots ,n\\}$ with exactly one landmark point. Find the maximum $n\\ge 3$ for which $L(n)$ is a perfect square.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 6086,
"need_tools_kwargs": true,
"question": "For an integer $n\\ge 3$ and a permutation $\\sigma=(p_{1},p_{2},\\cdots ,p_{n})$ of $\\{1,2,\\cdots , n\\}$ , we say $p_{l}$ is a $landmark$ point if $2\\le l\\le n-1$ and $(p_{l-1}-p_{l})(p_{l+1}-p_{l})>0$ . For example , for $n=7$ ,\nthe permutation $(2,7,6,4,5,1,3)$ has four landmark points: $p_{2}=7$ , $p_{4}=4$ , $p_{5}=5$ and $p_{6}=1$ . For a given $n\\ge 3$ , let $L(n)$ denote the number of permutations of $\\{1,2,\\cdots ,n\\}$ with exactly one landmark point. Find the maximum $n\\ge 3$ for which $L(n)$ is a perfect square.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Hercules Taylour's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "14 February 1795",
"style": "rule"
}
|
{
"index": 6087,
"need_tools_kwargs": true,
"question": "What is the date of death of Hercules Taylour'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": "Let $f(x)$ be an odd function defined on the interval $(-2, 2)$ and monotonically decreasing. Find the range of $a$ such that $f(2-a)+f(2a-3) < 0$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(\\frac{1}{2}, \\frac{5}{2})",
"style": "rule"
}
|
{
"index": 6088,
"need_tools_kwargs": true,
"question": "Let $f(x)$ be an odd function defined on the interval $(-2, 2)$ and monotonically decreasing. Find the range of $a$ such that $f(2-a)+f(2a-3) < 0$.",
"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": "Where was the place of death of the director of film Desire (1958 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Přerov",
"style": "rule"
}
|
{
"index": 6089,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Desire (1958 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 brother of Francisco Rodríguez Araya is known for his ability to deliver pinpoint crosses?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Roberto Rodríguez",
"style": "rule"
}
|
{
"index": 6090,
"need_tools_kwargs": true,
"question": "Which brother of Francisco Rodríguez Araya is known for his ability to deliver pinpoint crosses?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Lee Yong-soo was a woman who worked in the industry that was instigated by what group?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Imperial Japanese Army",
"style": "rule"
}
|
{
"index": 6091,
"need_tools_kwargs": true,
"question": "Lee Yong-soo was a woman who worked in the industry that was instigated by what group?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A standard deck of 52 cards is randomly arranged. What is the probability that the top three cards are $\\spadesuit$, $\\heartsuit$, and $\\spadesuit$ in that sequence?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{78}{5100}",
"style": "rule"
}
|
{
"index": 6092,
"need_tools_kwargs": true,
"question": "A standard deck of 52 cards is randomly arranged. What is the probability that the top three cards are $\\spadesuit$, $\\heartsuit$, and $\\spadesuit$ in that sequence?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which group owns the sister company of Market Place by Jasons?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jardine Matheson Holdings",
"style": "rule"
}
|
{
"index": 6093,
"need_tools_kwargs": true,
"question": "Which group owns the sister company of Market Place by Jasons?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Hustler (Film) and director of film Zehreela Insaan both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6094,
"need_tools_kwargs": true,
"question": "Are director of film The Hustler (Film) and director of film Zehreela Insaan 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": "Vanessa Mesquita made the cover of a magazine established by who ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Editora Abril",
"style": "rule"
}
|
{
"index": 6095,
"need_tools_kwargs": true,
"question": "Vanessa Mesquita made the cover of a magazine established by who ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 17%, what is the cost price of the article?",
"role": "user"
}
] |
math
|
{
"ground_truth": "478.77",
"style": "rule"
}
|
{
"index": 6096,
"need_tools_kwargs": true,
"question": "The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 17%, what is the cost price of the article?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 this British archaeologist and officer in the British Army contributed to the excavation of Stone Age and megalithic sites of South India with K. V. Soundararajan?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mortimer Wheeler",
"style": "rule"
}
|
{
"index": 6097,
"need_tools_kwargs": true,
"question": "Who was this British archaeologist and officer in the British Army contributed to the excavation of Stone Age and megalithic sites of South India with K. V. Soundararajan?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知在 \\triangle ABC 中，\\angle A=90^\\circ，边 BC 上一点 D 满足 BD:DC=c:4b. 若 AD=1，则 b+c 的最小值的原始答案形式为 \\frac{k\\sqrt{m}}{n}，请给出 k+m+n 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "43",
"style": "rule"
}
|
{
"index": 6098,
"need_tools_kwargs": true,
"question": "已知在 \\triangle ABC 中，\\angle A=90^\\circ，边 BC 上一点 D 满足 BD:DC=c:4b. 若 AD=1，则 b+c 的最小值的原始答案形式为 \\frac{k\\sqrt{m}}{n}，请给出 k+m+n 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Turnford Brook flows through a borough that covers how many square miles ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "20 sqmi",
"style": "rule"
}
|
{
"index": 6099,
"need_tools_kwargs": true,
"question": "Turnford Brook flows through a borough that covers how many square miles ?",
"split": "train"
}
| null |
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