data_source
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1 value
prompt
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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 wiki...
math
{ "ground_truth": "3+\\ln 2", "style": "rule" }
{ "index": 500, "need_tools_kwargs": true, "question": "If $\\int_{1}^{2} (2x+ \\frac{1}{x})dx=$ ______.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "48", "style": "rule" }
{ "index": 501, "need_tools_kwargs": true, "question": "How many ordered triples of integers \\((x, y, z)\\) are there such that\n\\[ x^2 + y^2 + z^2 = 34 \\]?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Three Colours: Red", "style": "rule" }
{ "index": 502, "need_tools_kwargs": true, "question": "Which film whose director is younger, Brunet Wieczorową Porą or Three Colours: Red?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 503, "need_tools_kwargs": true, "question": "Determine the coefficients $a, b, c$ given that the following system of equations has no solution, but if $|x-1|$ is written instead of $x-1$ in the second equation, the pair $x = \\frac{3}{4}, y = \\frac{5}{8}$ satisfies the new system of equations.\n\n\\[\...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "47", "style": "rule" }
{ "index": 504, "need_tools_kwargs": true, "question": "Right triangle $ABC$ has side lengths $BC=6$, $AC=8$, and $AB=10$. A circle centered at $O$ is tangent to line $BC$ at $B$ and passes through $A$. A circle centered at $P$ is tangent to line $AC$ at $A$ and passes through $B$. The original answer is in \\(\\...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "8", "style": "rule" }
{ "index": 505, "need_tools_kwargs": true, "question": "Four coins are placed in a line. A passerby walks by and flips each coin, stopping if she ever obtains two adjacent heads. If the passerby manages to flip all four coins, find the number of possible head-tail combinations for her four flips.", "split": "tr...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "-0.5", "style": "rule" }
{ "index": 506, "need_tools_kwargs": true, "question": "The sequence of numbers \\( t_{1}, t_{2}, t_{3}, \\ldots \\) is defined by\n\n$$\n\\left\\{\n\\begin{array}{l}\nt_{1}=2 \\\\\nt_{n+1}=\\frac{t_{n}-1}{t_{n}+1}\n\\end{array}\n\\right.\n$$\n\nfor each positive integer \\( n \\). Find \\( t_{2011} \\).", "spl...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "24 October 2017", "style": "rule" }
{ "index": 507, "need_tools_kwargs": true, "question": "What is the date of death of the director of film Anubhavam?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "six Tony Awards", "style": "rule" }
{ "index": 508, "need_tools_kwargs": true, "question": "How many award did Audra McDonald win like the award she won for Master Class?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Hellas Verona Football Club", "style": "rule" }
{ "index": 509, "need_tools_kwargs": true, "question": "What Italian football club team won the Serie A Championship in 1984-85 for their first and so far only Scudetto?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Exeter College", "style": "rule" }
{ "index": 510, "need_tools_kwargs": true, "question": "The Extreme Centre: A Warning was a book by the activist who studied at which college?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "600", "style": "rule" }
{ "index": 511, "need_tools_kwargs": true, "question": "Xiao Liang went to the science museum. The science museum is located 400 meters northeast of Xiao Liang's home. When Xiao Liang left home, he walked 600 meters in the northwest direction by mistake. At this time, he did not see the science museum. He asked a...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 512, "need_tools_kwargs": true, "question": "Given the polygons A, B, C, D, and E, each constructed from unit squares and right triangles, calculate the area of each polygon and determine which one has the largest area. The details of the polygons are as follows:\n- **Polygon A**: Contains 6 unit squar...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "the aftermath of the invasion of Kuwait by Ba'athist Iraq during the early stages of the Persian Gulf War.", "style": "rule" }
{ "index": 513, "need_tools_kwargs": true, "question": "How was the Republic of Kawait formed?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "animated television series", "style": "rule" }
{ "index": 514, "need_tools_kwargs": true, "question": "What do Munto and Macross Frontier have in common?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "11", "style": "rule" }
{ "index": 515, "need_tools_kwargs": true, "question": "Usain is walking for exercise by zigzagging across a $100$-meter by $30$-meter rectangular field, beginning at point $A$ and ending on the segment $\\overline{BC}$. He wants to increase the distance walked by zigzagging as shown in the figure below $(APQRS)$...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "July 25, 1986", "style": "rule" }
{ "index": 516, "need_tools_kwargs": true, "question": "What is the date of death of the director of film The Reluctant Debutante (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 wiki...
qa
{ "ground_truth": "David Bretherton", "style": "rule" }
{ "index": 517, "need_tools_kwargs": true, "question": "Who is the child of the director of film The Singer Of Naples?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "(m, n) = (3, 2)", "style": "rule" }
{ "index": 518, "need_tools_kwargs": true, "question": "Do there exist natural numbers \\( m \\) and \\( n \\) for which the following equation holds: \\[ \\left(-2 a^{n} b^{n}\\right)^{m}+\\left(3 a^{m} b^{m}\\right)^{n}=a^{6} b^{6} \\]?\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 wiki...
math
{ "ground_truth": "6.00", "style": "rule" }
{ "index": 519, "need_tools_kwargs": true, "question": "James splits 4 packs of stickers that have 30 stickers each. Each sticker cost $.10. If his friend pays for half how much did James pay?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "72", "style": "rule" }
{ "index": 520, "need_tools_kwargs": true, "question": "A student plans to consider the number of math problems done each day during the vacation. If the number of problems done exceeds $6$, it is recorded as a positive number, and if it is less than $6$, it is recorded as a negative number. The student's record ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "10 November 2002", "style": "rule" }
{ "index": 521, "need_tools_kwargs": true, "question": "When did the director of film Catherine & Co. 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 wiki...
qa
{ "ground_truth": "70 mi", "style": "rule" }
{ "index": 522, "need_tools_kwargs": true, "question": "How long is the mountain range that includes Turner's Gap?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 523, "need_tools_kwargs": true, "question": "Given that the expansion of $(x+1)^2\\left(x+ \\frac{1}{x^{3}}\\right)^n$ does not contain the term $x^2$, where $n\\in\\mathbb{N}^*$, and $5\\leq n \\leq 8$, then $n= \\_\\_\\_\\_\\_\\_$.", "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 wiki...
math
{ "ground_truth": "142122", "style": "rule" }
{ "index": 524, "need_tools_kwargs": true, "question": "The numbers \\( 13, 14, 15, \\ldots, 25 \\) are painted in five colors: one black number, three red numbers, three blue numbers, three yellow numbers, and three green numbers.\n\nIt is known that:\n- The sums of the numbers of all four groups of three number...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "420", "style": "rule" }
{ "index": 525, "need_tools_kwargs": true, "question": "Let $ABC$ be a triangle with $AB = 130$, $BC = 140$, $CA = 150$. Let $G$, $H$, $I$, $O$, $N$, $K$, $L$ be the centroid, orthocenter, incenter, circumcenter, nine-point center, the symmedian point, and the de Longchamps point. Let $D$, $E$, $F$ be the feet of...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 526, "need_tools_kwargs": true, "question": "How many real numbers $x$ are solutions to the following equation? \\[ |x-1| = |x-2| + |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 wiki...
math
{ "ground_truth": "75^\\circ", "style": "rule" }
{ "index": 527, "need_tools_kwargs": true, "question": "Given triangle \\( ABC \\), where \\( 2h_c = AB \\) and \\( \\angle A = 75^\\circ \\). Find the measure of 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 wiki...
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 528, "need_tools_kwargs": true, "question": "Do both directors of films The Gilded Lily (1935 Film) and Fiskerlivets Farer 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 wiki...
qa
{ "ground_truth": "romantic comedy television series", "style": "rule" }
{ "index": 529, "need_tools_kwargs": true, "question": "What type of series is the Argentine telenovela \"Sos mi vida\"?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Albert Rivière", "style": "rule" }
{ "index": 530, "need_tools_kwargs": true, "question": "Who was born first, Albert Rivière or Péter Zwack?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "1}^na_i", "style": "rule" }
{ "index": 531, "need_tools_kwargs": true, "question": "During the measurement of a certain physical quantity, due to errors from the instrument and observation, \\( n \\) measurements yield \\( n \\) data points \\( a_{1}, a_{2}, \\cdots, a_{n} \\). The \"best approximation value\" \\( a \\) of the measured phys...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "3 March 1877", "style": "rule" }
{ "index": 532, "need_tools_kwargs": true, "question": "Army Network Enterprise Technology Command has headquarters at the Fort that was established on what date?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "260", "style": "rule" }
{ "index": 533, "need_tools_kwargs": true, "question": "A car travels due east at 1 mile per minute on a long, straight road. Simultaneously, a circular storm, whose radius is 75 miles, moves northeast at $1 mile per minute$. At time $t=0$, the center of the storm is 130 miles due north of the car. At time $t=t_1...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "720", "style": "rule" }
{ "index": 534, "need_tools_kwargs": true, "question": "On a $3 \\times 3$ board, the numbers from $1$ to $9$ are written in some order without repeating. We say that the arrangement obtained is Isthmian if the numbers in any two adjacent squares have different parity. Determine the number of different Isthmian a...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 535, "need_tools_kwargs": true, "question": "Indiana Jones reached an abandoned temple in the jungle and entered the treasury. There were 5 chests, with the knowledge that only one contains the treasure, and the others trigger a stone slab to fall on the head of anyone who tries to open them. The chest...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Bayt al-mal", "style": "rule" }
{ "index": 536, "need_tools_kwargs": true, "question": "A person considered a religious successor to the Islamic prophet Muhammad (Muhammad ibn ʿAbdullāh) and a leader of the entire Muslim community would have used what financial institution?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "human skin", "style": "rule" }
{ "index": 537, "need_tools_kwargs": true, "question": "What are the masks that Bill Johnson's character in the 1986 horror film made of?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "x = -\\frac{p}{2} \\pm \\sqrt{\\frac{p^2}{4} - q}", "style": "rule" }
{ "index": 538, "need_tools_kwargs": true, "question": "Solve the equation \\( x^2 + px + q = 0 \\) by the substitution \\( x = y + z \\) and determining \\( z \\) (using its arbitrariness) so that a pure quadratic equation (i.e., not containing the first degree of the unknown) is obtained.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Kyle Thomas \"Rowdy\" Busch", "style": "rule" }
{ "index": 539, "need_tools_kwargs": true, "question": "The 2013 AdvoCare 500 was won by which racer and team owner?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "1800", "style": "rule" }
{ "index": 540, "need_tools_kwargs": true, "question": "Vovochka adds three-digit numbers in a column in the following way: he does not carry over tens, but writes the sum of pairs of digits in the same place value position under each pair of digits, even if the result is a two-digit number. For example, for the ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "144", "style": "rule" }
{ "index": 541, "need_tools_kwargs": true, "question": "The number of students in grades V-VI of a particular school is represented by a three-digit number. If you find the product of the digits of this number, and then the product of the digits of the resulting number, you can represent these three numbers as:\n...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "American", "style": "rule" }
{ "index": 542, "need_tools_kwargs": true, "question": "What nationality is the director of film Meeting Evil?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Valenciennes", "style": "rule" }
{ "index": 543, "need_tools_kwargs": true, "question": "What is the place of birth of Adrienne Marie Louise Grandpierre-Deverzy's husband?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "98th", "style": "rule" }
{ "index": 544, "need_tools_kwargs": true, "question": "What number season of the National Football League was Paul King the umpire on Ronald Torbert's crew?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 545, "need_tools_kwargs": true, "question": "Were both Arthur Francis Buddington and Albert Seitz, born in the same place?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "40", "style": "rule" }
{ "index": 546, "need_tools_kwargs": true, "question": "Ed and Ann both have lemonade with their lunch. If Ed orders a regular size drink of \\( x \\) ounces, and Ann orders a large lemonade that is 50% more than Ed's drink, how many ounces of lemonade did they drink together after both consumed \\(\\frac{3}{4}\\...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "y=\\arcsin x", "style": "rule" }
{ "index": 547, "need_tools_kwargs": true, "question": "The inverse function of the function $y=\\sin x, x\\in\\left[-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right]$ is \\_\\_\\_\\_\\_\\_.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 548, "need_tools_kwargs": true, "question": "Acute triangle $ABC$ satisfies $AB=2AC$ and $AB^4+BC^4+CA^4 = 2006 \\cdot 10^{10}$. A tetrahedron $DEFP$ is formed by choosing points $D$, $E$, and $F$ on the segments $BC$, $CA$, and $AB$ (respectively) and folding $A$, $B$, $C$ over $EF$, $FD$, and $DE$ (r...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 549, "need_tools_kwargs": true, "question": "Are both Horea, Satu Mare and Bazovik 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 wiki...
qa
{ "ground_truth": "Cypress Hill", "style": "rule" }
{ "index": 550, "need_tools_kwargs": true, "question": "Which artist featured in \"Cloud Nine\" is from South Gate, California?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Los Angeles", "style": "rule" }
{ "index": 551, "need_tools_kwargs": true, "question": "Where was the place of death of the director of film The Road Through The Dark?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Los Angeles", "style": "rule" }
{ "index": 552, "need_tools_kwargs": true, "question": "Where was the place of death of the director of film Felix O'Day?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Henry Fonda", "style": "rule" }
{ "index": 553, "need_tools_kwargs": true, "question": "Who is the father of the director of film Idaho Transfer?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "actor, author", "style": "rule" }
{ "index": 554, "need_tools_kwargs": true, "question": "What two jobs do both Lucky McKee and William Shatner have in common?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "pulmonary fibrosis", "style": "rule" }
{ "index": 555, "need_tools_kwargs": true, "question": "What is the cause of death of director of film Tai-Pan (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 wiki...
qa
{ "ground_truth": "The Office", "style": "rule" }
{ "index": 556, "need_tools_kwargs": true, "question": "Born in China is narrated by an American actor best known for his role on what show?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "2045254", "style": "rule" }
{ "index": 557, "need_tools_kwargs": true, "question": "Let $\\mathbb{Z}^{\\geq 0}$ be the set of all non-negative integers. Consider a function $f: \\mathbb{Z}^{\\geq 0} \\to \\mathbb{Z}^{\\geq 0}$ such that $f(0) = 1$ and $f(1) = 1$, and for any integer $n \\geq 1$, we have:\n\\[\nf(n + 1)f(n - 1) = nf(n)f(n - ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Michael Polchlopek", "style": "rule" }
{ "index": 558, "need_tools_kwargs": true, "question": "What member of The Smoking Guns also wrestled in Japan?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "German", "style": "rule" }
{ "index": 559, "need_tools_kwargs": true, "question": "What nationality is the director of film Black Beauty (1946 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 wiki...
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 560, "need_tools_kwargs": true, "question": "Let $D$ be a convex subset of the $n$-dimensional space, and suppose that $D'$ is obtained from $D$ by applying a positive central dilatation and then a translation. Suppose also that the sum of the volumes of $D$ and $D'$ is $1$, and $D \\cap D' \\neq \\emp...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "July 16, 1981", "style": "rule" }
{ "index": 561, "need_tools_kwargs": true, "question": "What is the date of death of the performer of song Story Of A Life (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 wiki...
math
{ "ground_truth": "3.00", "style": "rule" }
{ "index": 562, "need_tools_kwargs": true, "question": "For breakfast, Daisy bought a muffin for $2 and a cup of coffee for $4. For lunch, Daisy had soup, a salad, and lemonade. The soup cost $3, the salad cost $5.25, and the lemonade cost $0.75. How much more money did Daisy spend on lunch than on breakfast?", ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Dr. Charles Phelps", "style": "rule" }
{ "index": 563, "need_tools_kwargs": true, "question": "Who was the American Baptist pastor, and former president of Maranatha Baptist Bible College involved in a sex scandal involving the rape of a minor at Trinity Baptist Church in Concord, New Hampshire?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "S_{20}", "style": "rule" }
{ "index": 564, "need_tools_kwargs": true, "question": "Consider an arithmetic sequence \\(\\{a_n\\}\\) where \\(3a_8 = 5a_{13}\\) and \\(a_1 > 0\\). Let \\(S_n\\) represent the sum of the first \\(n\\) terms of the sequence. Which of the following is the maximum \\(S_n\\) (where \\(n \\in \\mathbb{N}\\))?\n(A) \...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "131616", "style": "rule" }
{ "index": 565, "need_tools_kwargs": true, "question": "A, B, and C have a total of 45 balls. If A gives 1 ball to B, B gives 2 balls to C, and C gives 3 balls to A, then they all have the same number of balls. How many balls did A, B, and C originally 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 wiki...
math
{ "ground_truth": "323", "style": "rule" }
{ "index": 566, "need_tools_kwargs": true, "question": "Calculate the positive difference between the two expressions:\n\\[ C = 2 \\times 3 + 4 \\times 5 + 6 \\times 7 + \\cdots + 38 \\times 39 + 40 \\]\n\\[ D = 2 + 3 \\times 4 + 5 \\times 6 + \\cdots + 37 \\times 38 + 39 \\times 40 \\]\nwhere the sequences are s...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "2,3", "style": "rule" }
{ "index": 567, "need_tools_kwargs": true, "question": "Among the following propositions:\n1. For the proposition p: $\\exists x \\in R$ such that $x^2 + x - 1 < 0$, the negation $\\neg p$: $\\forall x \\in R$, $x^2 + x - 1 > 0$.\n2. If p is a necessary but not sufficient condition for q, then $\\neg p$ is a suff...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "x \\approx 1.698", "style": "rule" }
{ "index": 568, "need_tools_kwargs": true, "question": "Calculate the value of $x$ where $6x^{-1} - 3x^{-1} \\times 2x^{-2} = 1.25$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "1969", "style": "rule" }
{ "index": 569, "need_tools_kwargs": true, "question": "What year was the man disqualified from the 1990 FIA European Formula Three Cup 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 wiki...
math
{ "ground_truth": "6.39", "style": "rule" }
{ "index": 570, "need_tools_kwargs": true, "question": "a start walking from a place at a uniform speed of 5 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .", ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 571, "need_tools_kwargs": true, "question": "Are Black Rock High School and R. D. Parker Collegiate 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 wiki...
qa
{ "ground_truth": "Now, my son", "style": "rule" }
{ "index": 572, "need_tools_kwargs": true, "question": "What was the last thing Father Martin said before he was burned alive in the 2013 video game \"Outlast\"?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 573, "need_tools_kwargs": true, "question": "Calculate the number of multiplication and addition operations required in the process of evaluating the polynomial \\( f(x) = 5x^5 + 4x^4 + 3x^3 + 2x^2 + x + 1 \\) at \\( x = 2 \\) using the Horner's method (秦九韶算法).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 574, "need_tools_kwargs": true, "question": "Find the smallest positive integer solution to the equation $2^{2^k} \\equiv k \\pmod{29}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "2021", "style": "rule" }
{ "index": 575, "need_tools_kwargs": true, "question": "On an infinite chessboard (whose squares are labeled by \\((x, y)\\), where \\(x\\) and \\(y\\) range over all integers), a king is placed at \\((0, 0)\\). On each turn, it has a probability of \\(0.1\\) of moving to each of the four edge-neighboring squares...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Sevenoaks", "style": "rule" }
{ "index": 576, "need_tools_kwargs": true, "question": "Where was the father of Elizabeth Amherst Hale 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 wiki...
qa
{ "ground_truth": "Distant Drums", "style": "rule" }
{ "index": 577, "need_tools_kwargs": true, "question": "Which film has the director died later, Early To Bed (1936 Film) or Distant Drums?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Whose Line is it Anyway", "style": "rule" }
{ "index": 578, "need_tools_kwargs": true, "question": "The 5th Wheel was initially hosted by the now-host of what comedy show?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "United States Postal Service", "style": "rule" }
{ "index": 579, "need_tools_kwargs": true, "question": "The town that Aaron Chimbel is from was named by what organization?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "-6", "style": "rule" }
{ "index": 580, "need_tools_kwargs": true, "question": "Point $C$ has coordinates $(3, y)$. Point $C$ is first reflected over the $y$-axis and then over the $x$-axis. What is the sum of the four coordinate values after these two reflections?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "677", "style": "rule" }
{ "index": 581, "need_tools_kwargs": true, "question": "Given the polynomial $2a^4 + 5ax^2 - 13x^3 - x^4 + 2021 + 2x + ax^3 - bx^4 - 13x^3$ is a quadratic polynomial, find the value of $a^2 + b^2$.", "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 wiki...
qa
{ "ground_truth": "Golden Quill", "style": "rule" }
{ "index": 582, "need_tools_kwargs": true, "question": "What is the name of the award named in honor of the English actor who studied at the Royal Academy and had an eight decade career?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 583, "need_tools_kwargs": true, "question": "Let $x,$ $y,$ and $z$ be positive real numbers such that\n\\[\\frac{1}{x^4} + \\frac{1}{y^4} + \\frac{1}{z^4} = 1.\\]Find the minimum value of\n\\[\\frac{x^4 y^4 + x^4 z^4 + y^4 z^4}{x^3 y^2 z^3}.\\]The answer is in the form k\\sqrt{m}+n,. Please provide the...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 584, "need_tools_kwargs": true, "question": "Three integers have a sum of 18. When four more integers are added to the first three, the total sum becomes 49. Finally, when another three integers are added to the sum of the previous seven integers, the total sum reaches 75. Determine the maximum number ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 585, "need_tools_kwargs": true, "question": "设实数 $x,y$ 满足不等式组 \\(\\begin{cases} x-y\\leq0\\\\ 4x-y\\geq0\\\\ x+y\\leq 3\\end{cases}\\),求 \\(z=x+2y-\\frac{1}{x}\\) 的最大值。", "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 wiki...
qa
{ "ground_truth": "Most participants in one race", "style": "rule" }
{ "index": 586, "need_tools_kwargs": true, "question": " Index of Effluency is the top prize awarded in a series of endurance races that holds the Guinness World Record for what?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Young Thug", "style": "rule" }
{ "index": 587, "need_tools_kwargs": true, "question": "In Colour, composed over a five year period, featured which artists?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "26", "style": "rule" }
{ "index": 588, "need_tools_kwargs": true, "question": "Let $ABCD$ be a rectangle with $AB=10$ and $BC=26$. Let $\\omega_1$ be the circle with diameter $\\overline{AB}$ and $\\omega_2$ be the circle with diameter $\\overline{CD}$. Suppose $\\ell$ is a common internal tangent to $\\omega_1$ and $\\omega_2$ and tha...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Rock Style", "style": "rule" }
{ "index": 589, "need_tools_kwargs": true, "question": "What was the name of the last exhibition that took place at the Costume Institute under Richard Martin?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "2010", "style": "rule" }
{ "index": 590, "need_tools_kwargs": true, "question": "Define the tower function of threes recursively: \\( T(1) = 3 \\) and \\( T(n + 1) = 3^{T(n)} \\) for \\( n \\geq 1 \\). Let \\( A = (T(2009))^{T(2009)} \\) and \\( B = (T(2009))^A \\). Determine the largest integer \\( k \\) for which the expression \n\n\\[...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "26.8", "style": "rule" }
{ "index": 591, "need_tools_kwargs": true, "question": "A plan is to transport 1240 tons of goods A and 880 tons of goods B using a fleet of trucks to a certain location. The fleet consists of two different types of truck carriages, A and B, with a total of 40 carriages. The cost of using each type A carriage is ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "5", "style": "rule" }
{ "index": 592, "need_tools_kwargs": true, "question": "Let \\( [x] \\) denote the greatest integer less than or equal to \\( x \\). Determine the number of positive integer solutions to the equation \\( [1.9 x] + [8.8 y] = 36 \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "112", "style": "rule" }
{ "index": 593, "need_tools_kwargs": true, "question": "Find the number of triples $(x,a,b)$ where $x$ is a real number and $a,b$ belong to the set $\\{1,2,3,4,5,6,7,8,9\\}$ such that $$x^2-a\\{x\\}+b=0.$$\nwhere $\\{x\\}$ denotes the fractional part of the real number $x$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "10", "style": "rule" }
{ "index": 594, "need_tools_kwargs": true, "question": "In triangle \\( ABC \\), the lengths of the sides are given as \\( AB = 13 \\), \\( AC = 12 \\), and \\( BC = 5 \\). Circle \\( P \\) is defined as the circle with the smallest radius that passes through vertex \\( B \\) and is tangent to side \\( AC \\). Le...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Georges Benjamin Clemenceau", "style": "rule" }
{ "index": 595, "need_tools_kwargs": true, "question": "Who was born first Aurél Stromfeld or Georges Clemenceau ?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "999", "style": "rule" }
{ "index": 596, "need_tools_kwargs": true, "question": "Positive integers $a$, $b$, $c$, and $d$ are selected such that $a < b < c < d$, and the system of equations \\[\n3x + y = 3005\\quad\\text{and}\\quad y = |x-a| + |x-b| + |x-c| + |x-d|\n\\] has exactly one solution. Determine the minimum value of $d$.", "s...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
math
{ "ground_truth": "37837", "style": "rule" }
{ "index": 597, "need_tools_kwargs": true, "question": "We have a five-digit positive integer $N$. We select every pair of digits of $N$ (and keep them in order) to obtain the $\\binom{5}{2} = 10$ numbers: 33, 37, 37, 37, 38, 73, 77, 78, 83, 87. Find $N$.", "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 wiki...
qa
{ "ground_truth": "Venezuelan", "style": "rule" }
{ "index": 598, "need_tools_kwargs": true, "question": "What nationality is Magdalena Kopp's husband?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki...
qa
{ "ground_truth": "Belfast Telegraph", "style": "rule" }
{ "index": 599, "need_tools_kwargs": true, "question": "What Independent News & Media paper did Adair deliver in his youth?", "split": "train" }
null