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 wiki... | math | {
"ground_truth": "34^\\circ 37'",
"style": "rule"
} | {
"index": 2600,
"need_tools_kwargs": true,
"question": "A solid spherical segment with a specific gravity of $s$ floats in water such that only the spherical cap associated with the segment is above water. What is the half-angle of the cone associated with the spherical segment? What is the condition for solvability? What is the half-angle if $s=0.75?$ (Half-angle: the angle between the generating line and the axis of rotation.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2601,
"need_tools_kwargs": true,
"question": "What is the largest integer $n$ such that $2^n + 65$ is equal to the square of an integer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Battle Creek, Michigan",
"style": "rule"
} | {
"index": 2602,
"need_tools_kwargs": true,
"question": "Where is the Cocoa Krispies and former Superman sponsor located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1339",
"style": "rule"
} | {
"index": 2603,
"need_tools_kwargs": true,
"question": "Determine the number of positive integers $n$, with $n \\le 2007$, for which there exists a real solution $x$ to the equation $\\lfloor x \\rfloor+\\lfloor 2x\\rfloor+\\lfloor 3x\\rfloor=n$. Provide the answer as an integer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "yes",
"style": "rule"
} | {
"index": 2604,
"need_tools_kwargs": true,
"question": "Do both directors of films On Their Own and The Tonto Kid 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... | math | {
"ground_truth": "66",
"style": "rule"
} | {
"index": 2605,
"need_tools_kwargs": true,
"question": "Alok ordered some chapatis, 5 plates of rice, 7 plates of mixed vegetable, and 6 ice-cream cups. The cost of each chapati is Rs. 6, that of each plate of rice is Rs. 45, and that of mixed vegetable is Rs. 70. Alok paid the cashier Rs. 1111. How many chapatis did Alok order?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "89",
"style": "rule"
} | {
"index": 2606,
"need_tools_kwargs": true,
"question": "\\(\\log _{2} x \\cdot \\log _{3} x = \\log _{3}\\left(x^{3}\\right) + \\log _{2}\\left(x^{2}\\right) - 6\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "70",
"style": "rule"
} | {
"index": 2607,
"need_tools_kwargs": true,
"question": "Given a six-digit phone number, how many different seven-digit phone numbers exist such that, by crossing out one digit, you obtain the given six-digit number?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.169",
"style": "rule"
} | {
"index": 2608,
"need_tools_kwargs": true,
"question": "What is the volume of the region in three-dimensional space defined by the inequalities $|x|+|y|+|z|\\le1$ and $|x|+|y|+|z-1|\\le1$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "5",
"style": "rule"
} | {
"index": 2609,
"need_tools_kwargs": true,
"question": "What is the rating of the highest charting album from Judy Collins that includes the song from \"Love Actually\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "1011",
"style": "rule"
} | {
"index": 2610,
"need_tools_kwargs": true,
"question": "Express eleven in base 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": "2005",
"style": "rule"
} | {
"index": 2611,
"need_tools_kwargs": true,
"question": "When did Morrissey release a cover version of a song from the singer whose debut album was Horses?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "360",
"style": "rule"
} | {
"index": 2612,
"need_tools_kwargs": true,
"question": "How many degrees are in the sum of the measures of the six numbered angles pictured? The answer is in the form of x^\\circ. Please provide the value of 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... | qa | {
"ground_truth": "September 14, 2007.",
"style": "rule"
} | {
"index": 2613,
"need_tools_kwargs": true,
"question": "What were the date, month, and year when the aging mainframe-based Ground Segment Control System was transferred to the new Architecture Evolution Plan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Wonder Girls",
"style": "rule"
} | {
"index": 2614,
"need_tools_kwargs": true,
"question": "In which group did the singer whose debut extended play was \"Full Moon\" make her debut?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{\\sqrt{2}}{2} - \\frac{\\sqrt{2}}{2}i",
"style": "rule"
} | {
"index": 2615,
"need_tools_kwargs": true,
"question": "Given that $i$ is the imaginary unit, find the quadrant in the complex plane where the point corresponding to $\\left(\\frac{1+i}{\\sqrt{2}}\\right)^{2015}$ is located.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7\\times1+1\\times3+3\\times5",
"style": "rule"
} | {
"index": 2616,
"need_tools_kwargs": true,
"question": "Try to break a 25-ruble bill into eleven bills of denominations 1, 3, and 5 rubles.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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 Manhattan Project",
"style": "rule"
} | {
"index": 2617,
"need_tools_kwargs": true,
"question": "What project did the namesake of 2752 Wu Chien-Shiung work on?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "63",
"style": "rule"
} | {
"index": 2618,
"need_tools_kwargs": true,
"question": "The word \"SHARP\" in block letters is painted in black with strokes 1 unit wide on a 6 by 20 rectangular white sign. Calculate the area of the white portion of the sign.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "158",
"style": "rule"
} | {
"index": 2619,
"need_tools_kwargs": true,
"question": "There are 300 black and white pieces in total. The black crow divides the black and white pieces into 100 piles, each containing 3 pieces. There are 27 piles with exactly $l$ white pieces, 42 piles with 2 or 3 black pieces, and the number of piles with 3 white pieces is equal to the number of piles with 3 black pieces. How many white pieces are there in total?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.4",
"style": "rule"
} | {
"index": 2620,
"need_tools_kwargs": true,
"question": "Anton, Vasya, Sasha, and Dima were driving from city A to city B, each taking turns at the wheel. The entire journey was made at a constant speed.\n\nAnton drove the car for half the time Vasya did, and Sasha drove for as long as Anton and Dima together. Dima was at the wheel for only one-tenth of the distance. What fraction of the distance did Vasya drive? Provide your answer as a decimal.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "30.0",
"style": "rule"
} | {
"index": 2621,
"need_tools_kwargs": true,
"question": "The lengths of the four sides of the cyclic quadrilateral $ABCD$ are $AB=2$, $BC=7$, $CD=6$, and $DA=9$. Find the area of the quadrilateral.\n\n",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1998",
"style": "rule"
} | {
"index": 2622,
"need_tools_kwargs": true,
"question": "A tetrahedron $ABCD$ satisfies the following conditions: the edges $AB$, $AC$, and $AD$ are pairwise orthogonal, $AB=3$, and $CD=\\sqrt{2}$. Find the minimum possible value of $$BC^6 + BD^6 - AC^6 - AD^6.$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Pan Am Games",
"style": "rule"
} | {
"index": 2623,
"need_tools_kwargs": true,
"question": "This boxer trained by Naazim Richardson won a gold medal in what event in 2007?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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, 4) \\cup \\left(4, \\frac{64}{11}\\right]",
"style": "rule"
} | {
"index": 2624,
"need_tools_kwargs": true,
"question": "Find all real values of $x$ that satisfy $\\frac{x(x+1)}{(x-4)^2} \\ge 12.$ (Give your answer in interval notation.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Black Industries",
"style": "rule"
} | {
"index": 2625,
"need_tools_kwargs": true,
"question": "Who published the 2008 game Ross Watson was the lead developer on?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2626,
"need_tools_kwargs": true,
"question": " $$ Problem 4: $$ The sum of $5$ positive numbers equals $2$ . Let $S_k$ be the sum of the $k-th$ powers of\nthese numbers. Determine which of the numbers $2,S_2,S_3,S_4$ can be the greatest among them.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "20",
"style": "rule"
} | {
"index": 2627,
"need_tools_kwargs": true,
"question": "There are 20 rooms, some with lights on and some with lights off. The occupants of these rooms prefer to match the majority of the rooms. Initially, there are 10 rooms with lights on and 10 rooms with lights off, and the light in the first room is on. Starting from room one, each occupant will turn their light on if the majority of the remaining 19 rooms have their lights on; otherwise, they will turn their light off. After everyone in these 20 rooms has had a turn, determine how many rooms will have their lights off.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Medina and Al Quds",
"style": "rule"
} | {
"index": 2628,
"need_tools_kwargs": true,
"question": "What are the two other holiest cities in Islam other than the city that is known for the Hajj?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "1192 - 596\\sqrt{3}",
"style": "rule"
} | {
"index": 2629,
"need_tools_kwargs": true,
"question": "Two identical rectangular containers are filled with cylindrical rods, each rod having a diameter of 8 cm. Container X uses a simple vertical stacking method, while Container Y uses a hexagonal close packing method. After filling each container with 150 rods, what is the positive difference in the total heights (in cm) of the two packings?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Jacques Becker",
"style": "rule"
} | {
"index": 2630,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film A Man Named Rocca?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "\\dfrac {9}{50}",
"style": "rule"
} | {
"index": 2631,
"need_tools_kwargs": true,
"question": "Two people, A and B, play a guessing game. First, A thinks of a number denoted as $a$, then B guesses the number A thought of, denoting B's guess as $b$. Both $a$ and $b$ belong to the set $\\{0,1,2,…,9\\}$. If $|a-b|=1$, then A and B are said to have a \"telepathic connection\". If two people are randomly chosen to play this game, the probability that they have a \"telepathic connection\" 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": "\\frac{√6}{2}",
"style": "rule"
} | {
"index": 2632,
"need_tools_kwargs": true,
"question": "Given a line with a slope angle of 135° intersecting the hyperbola $$\\frac {x^{2}}{a^{2}}- \\frac {y^{2}}{b^{2}}=1$$ (a > 0, b > 0) at points A and B, and the midpoint of segment AB is P(2, -1). Determine the eccentricity of the hyperbola.\n\nA: $$√3$$\nB: $$√2$$\nC: $$\\frac {√6}{2}$$\nD: $$\\frac {√5}{2}$$",
"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 wiki... | qa | {
"ground_truth": "Ann Morriss",
"style": "rule"
} | {
"index": 2633,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Henry Goes Arizona?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "7.6",
"style": "rule"
} | {
"index": 2634,
"need_tools_kwargs": true,
"question": "Adam and Sarah start on bicycle trips from the same point at the same time. Adam travels north at 10 mph and Sarah travels west at 5 mph. After how many hours are they 85 miles apart?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "yes",
"style": "rule"
} | {
"index": 2635,
"need_tools_kwargs": true,
"question": "Do director of film Red Hot Leather and director of film The Yin and the Yang of Mr. Go 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 wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 2636,
"need_tools_kwargs": true,
"question": "Let \\(a, b, c, d\\) be rational numbers with \\(a > 0\\). If for every integer \\(n \\ge 0\\), the number \\(an^{3} + bn^{2} + cn + d\\) is also an integer, find the minimal value of \\(a\\). 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 wiki... | qa | {
"ground_truth": "17 to 28 May 2017",
"style": "rule"
} | {
"index": 2637,
"need_tools_kwargs": true,
"question": "24 Frames was posthumously showed at the film festival that took place during which time frame?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2638,
"need_tools_kwargs": true,
"question": "Consider two periodic functions \\(y_{1}\\) and \\(y_{2}\\) with minimal positive periods of \\(a\\) and \\(b\\) respectively, where \\(b = n \\cdot a\\) for some integer \\(n \\geq 2\\). If the minimal positive period of the function \\(y_{3} = y_{1} + y_{2}\\) is denoted as \\(t\\), analyze the following scenarios regarding the relationship between \\(t\\), \\(a\\), and \\(b\\): \n1. \\(t < a\\)\n2. \\(t = a\\)\n3. \\(a < t < b\\)\n4. \\(t = b\\)\n5. \\(t > b\\)\n\nDetermine how many of these scenarios are impossible and provide a justification for your answer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2639,
"need_tools_kwargs": true,
"question": "Natural numbers \\(a, x\\), and \\(y\\), each greater than 100, are such that \\(y^2 - 1 = a^2 (x^2 - 1)\\). What is the smallest possible value of the fraction \\(a / 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... | qa | {
"ground_truth": "Salvatore Tessio",
"style": "rule"
} | {
"index": 2640,
"need_tools_kwargs": true,
"question": "What is the role's name in \"the godfather\" of which the same actor play the new york city police department detective phil Fish in Fish which is the american sitecom and spin-off of \"barney miller\" that aired on 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 wiki... | math | {
"ground_truth": "23",
"style": "rule"
} | {
"index": 2641,
"need_tools_kwargs": true,
"question": "Tom plants a tree that is 1 year old and 5 feet tall. It gains 3 feet per year. How old is it when it is 23 feet tall?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2642,
"need_tools_kwargs": true,
"question": "Find the positive solution to\n\\[\\sqrt[3]{x + \\sqrt[3]{x + \\sqrt[3]{x + \\dotsb}}} = \\sqrt[3]{x \\sqrt[3]{x \\sqrt[3]{x \\dotsm}}}.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "f(x) = 2x^3 - 5x",
"style": "rule"
} | {
"index": 2643,
"need_tools_kwargs": true,
"question": "Given that \\( f(x) \\) is a polynomial function and satisfies \\( f(x+1) + f(x-1) = 4x^3 + 2x \\), find \\( f(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... | qa | {
"ground_truth": "thirteen",
"style": "rule"
} | {
"index": 2644,
"need_tools_kwargs": true,
"question": " Baby Jay is one of the mascots for a univeristy that has won how many NCAA Division I championships?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "3:7",
"style": "rule"
} | {
"index": 2645,
"need_tools_kwargs": true,
"question": " \nThe number of students in Xiaoming's class is less than 40 but more than 30. Which of the following ratios of boys to girls in the class is not possible? \nA. $2:3$ \nB. $3:4$ \nC. $4:5$ \nD. $3:7$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 2646,
"need_tools_kwargs": true,
"question": "In a chess competition, four friends A, B, C, and D each play one match against every other friend. The scoring system awards 3 points for a win, 1 point for a draw, and 0 points for a loss. Given that D scores 6 points, B scores 4 points, and C scores 2 points, determine how many points A has.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2 \\sqrt {3}",
"style": "rule"
} | {
"index": 2647,
"need_tools_kwargs": true,
"question": "Given the function $f(x)= \\sqrt {3}\\sin x\\cdot\\cos x- \\frac {1}{2}\\cos 2x$ $(x\\in\\mathbb{R})$. \n$(1)$ Find the minimum value and the smallest positive period of the function $f(x)$. \n$(2)$ Let $\\triangle ABC$ have internal angles $A$, $B$, $C$ opposite to sides $a$, $b$, $c$ respectively, and $f(C)=1$, $B=30^{\\circ}$, $c=2 \\sqrt {3}$. Find the area of $\\triangle ABC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Yankee Don",
"style": "rule"
} | {
"index": 2648,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, I, Madman or Yankee Don?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "8100",
"style": "rule"
} | {
"index": 2649,
"need_tools_kwargs": true,
"question": "Let $n$ be the smallest positive integer that is a multiple of $50$ and has exactly $100$ positive integral divisors, including $1$ and itself. Find $\\frac{n}{50}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2650,
"need_tools_kwargs": true,
"question": "How many primes $p$ are there such that $39p + 1$ is a perfect square? $ \n\\textbf{a)}\\ 0\n\\qquad\\textbf{b)}\\ 1\n\\qquad\\textbf{c)}\\ 2\n\\qquad\\textbf{d)}\\ 3\n\\qquad\\textbf{e)}\\ \\text{None of above}\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": "Yuri Lowenthal",
"style": "rule"
} | {
"index": 2651,
"need_tools_kwargs": true,
"question": "Which voice-over actor starred as Ben Tennyson in \"Ben 10\" and appeared in the English language version of \"Axel: The Biggest Little Hero\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Kraków",
"style": "rule"
} | {
"index": 2652,
"need_tools_kwargs": true,
"question": "Where was the father of Tomasz Lipiński 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": "Occupy Melbourne",
"style": "rule"
} | {
"index": 2653,
"need_tools_kwargs": true,
"question": "What social movement took place in a city with a population of 127,672?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "yes",
"style": "rule"
} | {
"index": 2654,
"need_tools_kwargs": true,
"question": "Do both Sorority Babes In The Slimeball Bowl-O-Rama and Bering Sea Beast films have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Australian",
"style": "rule"
} | {
"index": 2655,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Her Alibi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "9",
"style": "rule"
} | {
"index": 2656,
"need_tools_kwargs": true,
"question": "Balls of $3$ colours — red, blue, and white — are placed in two boxes. If you take out $3$ balls from the first box, there would definitely be a blue one among them. If you take out $4$ balls from the second box, there would definitely be a red one among them. If you take out any $5$ balls (only from the first, only from the second, or from two boxes at the same time), then there would definitely be a white ball among them. Find the greatest possible total number of balls in two boxes.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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",
"style": "rule"
} | {
"index": 2657,
"need_tools_kwargs": true,
"question": "The positive three-digit integer $N$ has a ones digit of $0$. What is the probability that $N$ is divisible by $4$? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "18 October 1691",
"style": "rule"
} | {
"index": 2658,
"need_tools_kwargs": true,
"question": "What is the date of death of August, Duke Of Saxe-Merseburg-Zörbig'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 wiki... | math | {
"ground_truth": "252",
"style": "rule"
} | {
"index": 2659,
"need_tools_kwargs": true,
"question": "Let \\( a_{n} = 1 + 2 + \\cdots + n \\), where \\( n \\in \\mathbf{N}_{+} \\), and \\( S_{m} = a_{1} + a_{2} + \\cdots + a_{m} \\), \\( m = 1, 2, \\cdots, m \\). Find the number of values among \\( S_{1}, S_{2}, \\cdots, S_{2017} \\) that are divisible by 2 but not by 4.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 2, 1973",
"style": "rule"
} | {
"index": 2660,
"need_tools_kwargs": true,
"question": "When was the retired American politician who was succeeded by Markwayne Mullin 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",
"style": "rule"
} | {
"index": 2661,
"need_tools_kwargs": true,
"question": "Given the parabola $y^2 = -6x$ with focus $F$, and points $M$, $N$ on the parabola satisfying $\\overrightarrow{FM} = k \\overrightarrow{FN}$ ($k \\neq 0$), find the minimum value of $|MN|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "\\frac{9\\pi}{5}",
"style": "rule"
} | {
"index": 2662,
"need_tools_kwargs": true,
"question": "Calculate the volumes of the solids formed by the rotation of the regions bounded by the graphs of the functions about the x-axis.\n\n$$\ny = 2x - x^2, \\quad y = -x + 2, \\quad x = 0\n$$",
"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": "RuPaul Andre Charles",
"style": "rule"
} | {
"index": 2663,
"need_tools_kwargs": true,
"question": "The World hosted which actor and drag queen?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "\\frac{8}{9}",
"style": "rule"
} | {
"index": 2664,
"need_tools_kwargs": true,
"question": "A dice roll is considered successful if the number rolled is at least three. Which is more likely: having at least one successful roll out of two rolls, or having at least two successful rolls out of four rolls?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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^{(n//2) \\times (m//2)}",
"style": "rule"
} | {
"index": 2665,
"need_tools_kwargs": true,
"question": "Find the number of ways to color $n \\times m$ board with white and black\ncolors such that any $2 \\times 2$ square contains the same number of black and white cells.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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",
"style": "rule"
} | {
"index": 2666,
"need_tools_kwargs": true,
"question": "求定义域为 \\( (0,+\\infty) \\) 到 \\( R \\) 的函数 \\( f \\)，满足条件 \\( f(1)=1 \\) 和 \\( f(x) \\) 二阶可导，以及 \\( f^{\\prime}\\left(\\frac{1}{x}\\right)=-\\frac{1}{2} f(x) \\)。已知原始答案的形式为 \\(\\sqrt{kx}(m - n\\ln x)\\)，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 wiki... | qa | {
"ground_truth": "gets drunk",
"style": "rule"
} | {
"index": 2667,
"need_tools_kwargs": true,
"question": "In The Simpsons episode that debuted the character Snake Jailbird, Homer Simpson does what that embarrasses his wife?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Miguel Ferrer",
"style": "rule"
} | {
"index": 2668,
"need_tools_kwargs": true,
"question": "What American actor starred in RoboCop and the television series Twin Peaks?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "29 September 855",
"style": "rule"
} | {
"index": 2669,
"need_tools_kwargs": true,
"question": "When did Louis Ii Of Italy's father die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Maine Central Railroad Company",
"style": "rule"
} | {
"index": 2670,
"need_tools_kwargs": true,
"question": "Pan Am Railways has a subsidiary in which former US Class I railroad in Maine?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "20",
"style": "rule"
} | {
"index": 2671,
"need_tools_kwargs": true,
"question": "The ages of two persons differ by some years. If 4 years ago, the elder one was 5 times as old as the younger one, their present ages are 29 and 49 years respectively. What is the difference in their ages?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "\\frac{1 + i \\sqrt{11}}{2}",
"style": "rule"
} | {
"index": 2672,
"need_tools_kwargs": true,
"question": "A polynomial of degree four with leading coefficient 1 and integer coefficients has two zeros, both of which are integers. Which of the following can also be a zero of the polynomial?\r\n\r $ \\textbf{(A)} \\ \\frac {1 \\plus{} i \\sqrt {11}}{2} \\qquad \\textbf{(B)} \\ \\frac {1 \\plus{} i}{2} \\qquad \\textbf{(C)} \\ \\frac {1}{2} \\plus{} i \\qquad \\textbf{(D)} \\ 1 \\plus{} \\frac {i}{2} \\qquad \\textbf{(E)} \\ \\frac {1 \\plus{} i \\sqrt {13}}{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... | math | {
"ground_truth": "0.2,",
"style": "rule"
} | {
"index": 2673,
"need_tools_kwargs": true,
"question": "The population of a town is 30000. It decreases annually at a certain rate. The population of the town after 2 years is 19200. What is the annual rate of decrease in population?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Joseph Kony",
"style": "rule"
} | {
"index": 2674,
"need_tools_kwargs": true,
"question": "A Brilliant Genocide was written about a revolution started by which resistance leader?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "December 18, 1978",
"style": "rule"
} | {
"index": 2675,
"need_tools_kwargs": true,
"question": "When was the American actress starred in Touched with Fire 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": "30\\sqrt{3} \\times BD",
"style": "rule"
} | {
"index": 2676,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $\\angle ABC = 60^\\circ$ and $AD$ is an angle bisector. If $AB = 120,$ $BC = y$, and $AC = 3y - 18,$ determine the area of $\\triangle ABD$. Use exact answer with a square root if necessary.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Tommy Solomon",
"style": "rule"
} | {
"index": 2677,
"need_tools_kwargs": true,
"question": "What did the actor who played Cameron in 10 Things I Hate About You play on 3rd Rock from the Sun?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "35\\%",
"style": "rule"
} | {
"index": 2678,
"need_tools_kwargs": true,
"question": "if x is less than y by 35 % then y exceed x by :",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2679,
"need_tools_kwargs": true,
"question": "求所有的实数 $x$,使得 $\\left[x^{3}\\right]=4 x+3$. 这里 $[y]$表示不超过实数 $y$ 的最大整数。原始答案包含一个分数形式，请给出分数形式的分子与分母之和。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "117",
"style": "rule"
} | {
"index": 2680,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of all positive integer divisors of $100,000.$ Find how many numbers are the product of two distinct elements of $S.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Paris",
"style": "rule"
} | {
"index": 2681,
"need_tools_kwargs": true,
"question": "Where was the composer of song Phresh Out The Runway 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": "\\frac{2}{5}",
"style": "rule"
} | {
"index": 2682,
"need_tools_kwargs": true,
"question": "In a drawer, there are three pairs of socks that differ slightly from each other. If the socks are picked one at a time from the drawer, what is the probability that after three picks, there will still not be a matching pair among the collected socks?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2683,
"need_tools_kwargs": true,
"question": "A semicircle is inscribed in a larger semicircle with a radius of $2$. Determine the radius of the smaller semicircle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Faversham, Kent",
"style": "rule"
} | {
"index": 2684,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film A Fighting Colleen?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "18",
"style": "rule"
} | {
"index": 2685,
"need_tools_kwargs": true,
"question": "We cannot wind up our wall clock if either the hour hand or the minute hand is moving between 3 and 4, or between 8 and 9. How much time per day is available for winding the clock?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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",
"style": "rule"
} | {
"index": 2686,
"need_tools_kwargs": true,
"question": "The ratio of the interior angles of two regular polygons is \\(4:3\\). One of the polygons has exactly 5 sides. Determine how many pairs of polygons exist where both polygons have more than three sides.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 2687,
"need_tools_kwargs": true,
"question": "The cube root of the real number $-8$ 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... | qa | {
"ground_truth": "Honolulu, Hawaii",
"style": "rule"
} | {
"index": 2688,
"need_tools_kwargs": true,
"question": "Where was the director of film Bushwhacked (Film) 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": "0",
"style": "rule"
} | {
"index": 2689,
"need_tools_kwargs": true,
"question": "Given a sequence $\\left\\{a_{n}\\right\\}$ which satisfies:\n$$\n\\begin{array}{l}\na_{1}=a_{2}=1, \\\\\na_{n+1}=\\frac{n^{2} a_{n}^{2}+5}{\\left(n^{2}-1\\right) a_{n-1}} \\text{ for } n > 1,\n\\end{array}\n$$\nis there a real number $x, y$ (with $x \\neq 0$) such that the sequence $\\left\\{\\frac{b_{n+2}+b_{n}}{b_{n+1}}\\right\\}$ (where $b_{n}=(n x+y) a_{n}, n \\in \\mathbf{Z}_{+}$) is a constant 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 wiki... | qa | {
"ground_truth": "North Avenue and First Avenue",
"style": "rule"
} | {
"index": 2690,
"need_tools_kwargs": true,
"question": "At what intersection was the former home of the wooden roller coaster now located at Six Flags Great America in Gurnee, Illinois located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 2691,
"need_tools_kwargs": true,
"question": "称一个复数列 $\\left\\{z_{n}\\right\\}$ 是\" 有趣的\"，若 $\\left|z_{1}\\right|=1$ ，且对任意正整数 $n$ ，均有 $4 z_{n+1}^{2}+ 2 z_{n} z_{n+1}+z_{n}^{2}=0$ 。求最大的常数 $C$ ，使得对一切有趣的数列 $\\left\\{z_{n}\\right\\}$ 及任意正整数 $m$ ，均有 $\\left|z_{1}+z_{2}+\\cdots+z_{m}\\right| \\geqslant C$ 。答案形式为$\\frac{\\sqrt{k}}{m}$，请给出k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hradec Králové",
"style": "rule"
} | {
"index": 2692,
"need_tools_kwargs": true,
"question": "Where was the director of film Against All 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": "0.9232",
"style": "rule"
} | {
"index": 2693,
"need_tools_kwargs": true,
"question": "The probability that the total length of flax plants of variety $A$ is 75-84 cm is 0.6. What is the probability that among 300 flax plants of this variety, the relative frequency of plants of such length will deviate in absolute magnitude from the probability of occurrence of plants of such length by no more than 0.05?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Ahn Sang-hoon",
"style": "rule"
} | {
"index": 2694,
"need_tools_kwargs": true,
"question": "Who directed a movie that shared and actress with the breakup guru and was released in 2015?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 2695,
"need_tools_kwargs": true,
"question": "The sequence $\\left\\{a_{n}\\right\\}$ satisfies $a_{1}=\\frac{1}{2}, a_{n+1}=a_{n}^{2}+a_{n}, n \\in \\mathbf{N}^{*}, b_{n}=\\frac{1}{1+a_{n}}$.\n\nGiven:\n$$\nS_{n}=b_{1}+b_{2}+\\cdots+b_{n}, P_{n}=b_{1} b_{2} \\cdots b_{n},\n$$\n\nfind the value of $2 P_{n}+S_{n}$.",
"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": "Kerala",
"style": "rule"
} | {
"index": 2696,
"need_tools_kwargs": true,
"question": "Where was the composer of film Bhaaryayum Kaamukiyum 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": "Larceny On The Air",
"style": "rule"
} | {
"index": 2697,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, Don Juan (1969 Film) or Larceny On The Air?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "late 19th and early 20th centuries",
"style": "rule"
} | {
"index": 2698,
"need_tools_kwargs": true,
"question": "123 Albert Street has a style that is from the philosophy that took hold during what time frame?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "756",
"style": "rule"
} | {
"index": 2699,
"need_tools_kwargs": true,
"question": "Consider the paths from \\((0,0)\\) to \\((6,3)\\) that only take steps of unit length up and right. Compute the sum of the areas bounded by the path, the \\(x\\)-axis, and the line \\(x=6\\) over all such paths.",
"split": "train"
} | null |
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