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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 300,
"need_tools_kwargs": true,
"question": "Are director of film High Society (2014 Film) and director of film The Yellow Teddy Bears both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "34",
"style": "rule"
} | {
"index": 301,
"need_tools_kwargs": true,
"question": "Consider a trapezium \\(ABCD\\) where \\(\\angle ADC = \\angle BCD = 60^\\circ\\) and the lengths of the sides are given by \\(AB = BC = AD = \\frac{1}{2} CD\\). If this trapezium is divided into \\(P\\) equal portions (where \\(P > 1\\)), and each portion is similar to trapezium \\(ABCD\\), determine the minimum value of \\(P\\).\n\nNext, let \\(Q\\) be the sum of the tens and unit digits of \\((P+1)^{2001}\\). Calculate the value of \\(Q\\).\n\nAdditionally, if the equation \\(\\sin 30^\\circ + \\sin^2 30^\\circ + \\ldots + \\sin Q 30^\\circ = 1 - \\cos^R 45^\\circ\\) holds, find the value of \\(R\\).\n\nFinally, let \\(\\alpha\\) and \\(\\beta\\) be the roots of the equation \\(x^2 - 8x + (R+1) = 0\\). If \\(\\frac{1}{\\alpha^2}\\) and \\(\\frac{1}{\\beta^2}\\) are the roots of the equation \\(225x^2 - Sx + 1 = 0\\), find the value 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": "River Tame",
"style": "rule"
} | {
"index": 302,
"need_tools_kwargs": true,
"question": "Belle Vue, Manchester borders a meto borough name after what river?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6\\sqrt{3}",
"style": "rule"
} | {
"index": 303,
"need_tools_kwargs": true,
"question": "Given $x$, $y$, and $a \\in R^*$, and when $x + 2y = 1$, the minimum value of $\\frac{3}{x} + \\frac{a}{y}$ is $6\\sqrt{3}$. Then, calculate the minimum value of $3x + ay$ when $\\frac{1}{x} + \\frac{2}{y} = 1$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "19\\%",
"style": "rule"
} | {
"index": 304,
"need_tools_kwargs": true,
"question": "A palindrome is an integer that reads the same forward and backward, such as 1331. What percent of the palindromes between 1000 and 2000 contain at least one 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... | qa | {
"ground_truth": "Euclid Avenue",
"style": "rule"
} | {
"index": 305,
"need_tools_kwargs": true,
"question": "In which street did Martin Gardner live with his family in Hastings-on-Hudson, New York, before moving to Hendersonville in 1979?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "\\$1.65",
"style": "rule"
} | {
"index": 306,
"need_tools_kwargs": true,
"question": "Martin decided to surprise the city's Orphanage for Young Girls with a beautiful assortment of flowers. He bought roses, lilies, sunflowers, daisies, orchids, and tulips from the local florist. The florist charged $2 for each rose, $1.50 for each lily, $1 for each sunflower, $0.75 for each daisy, $3 for each orchid, and $2.50 for each tulip. Martin bought 50 roses, 40 lilies, 30 sunflowers, 20 daisies, 10 orchids, and 15 tulips. \n\n1. Calculate the total cost of the flowers Martin bought for the orphanage.\n2. If the total number of flowers purchased is regarded as 100%, what percentage of the gift consisted of each type of flower?\n3. What is the average price per flower in Martin's entire 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... | qa | {
"ground_truth": "George Joseph Moscone",
"style": "rule"
} | {
"index": 307,
"need_tools_kwargs": true,
"question": "What is the full name and surname of the father of the 37th Mayor of San Francisco in California, who was assassinated?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 308,
"need_tools_kwargs": true,
"question": "Let $\\phi (x)$ be the number of positive integers less than or equal to $x$ that are relatively prime to $x$. Find the sum of all $x$ such that $\\phi (\\phi(x)) = x - 3$. Note that $1$ is relatively prime to every positive 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... | math | {
"ground_truth": "100",
"style": "rule"
} | {
"index": 309,
"need_tools_kwargs": true,
"question": "Let $z$ be a complex number such that $|z - 5 - i| = 5.$ Find the minimum value of\n\\[|z - 1 + 2i|^2 + |z - 9 - 4i|^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": "-32",
"style": "rule"
} | {
"index": 310,
"need_tools_kwargs": true,
"question": "Let the lines \\( y = ax - 4 \\) and \\( y = 8x - b \\) be symmetric with respect to the line \\( y = x \\). Find the values of \\( a \\) and \\( b \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$90,000",
"style": "rule"
} | {
"index": 311,
"need_tools_kwargs": true,
"question": "A company has 15 managers and 75 associates. The managers have an average salary of some amount. The 75 associates have an average salary of $30,000. The average salary for the company is $40,000. What is the average salary of the managers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "3.0",
"style": "rule"
} | {
"index": 312,
"need_tools_kwargs": true,
"question": "Two sides of a right triangle are 5 and 4. What is the smallest possible value of the third side?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "21660",
"style": "rule"
} | {
"index": 313,
"need_tools_kwargs": true,
"question": "The numbers from 1 to 360 are partitioned into 9 subsets of consecutive integers, and the sums of the numbers in each subset are arranged in the cells of a $3 \\times 3$ square. If it is possible that the square turns out to be a magic square, calculate the magic constant c, which is the sum of the numbers in each row, column, and both diagonals.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 314,
"need_tools_kwargs": true,
"question": "Were both Jennie Snyder Urman and Leonid Belakhov, 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... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 315,
"need_tools_kwargs": true,
"question": "Which country the director of film Love Business is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 316,
"need_tools_kwargs": true,
"question": "Determine all pairs $P(x), Q(x)$ of complex polynomials with leading coefficient 1 such that $P(x)$ divides $Q(x)^{2}+1$ and $Q(x)$ divides $P(x)^{2}+1$. The original answer is in the form of $(k,k), (m, m+n), (m, m-n)$, where $k, m, n$ are constants. Please provide the value of $k + m + n$.",
"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": "Woodrow Wilson Guthrie",
"style": "rule"
} | {
"index": 317,
"need_tools_kwargs": true,
"question": "What American singer-songwriter who is regarded as one of the most significant figures in American folk music inspired Jim Abel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "503",
"style": "rule"
} | {
"index": 318,
"need_tools_kwargs": true,
"question": "The probability that a set of three distinct vertices chosen at random from among the vertices of a regular $n$ -gon determine an obtuse triangle is $\\frac{93}{125}$ . Find the sum of all possible values of $n$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 25, 1963",
"style": "rule"
} | {
"index": 319,
"need_tools_kwargs": true,
"question": "When did the director of film Laughter In Hell 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": "26 March 1970",
"style": "rule"
} | {
"index": 320,
"need_tools_kwargs": true,
"question": "When is the director of film Seven Psychopaths 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18 \\pi",
"style": "rule"
} | {
"index": 321,
"need_tools_kwargs": true,
"question": "In the diagram, the smaller circles touch the larger circle and touch each other at the center of the larger circle. The radius of the larger circle is 6. What is the area of the shaded region?\n(A) \\(27 \\pi\\)\n(B) \\(6 \\pi\\)\n(C) \\(9 \\pi\\)\n(D) \\(18 \\pi\\)\n(E) \\(36 \\pi\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "19",
"style": "rule"
} | {
"index": 322,
"need_tools_kwargs": true,
"question": "On Thursday afternoon, the fifth and sixth periods are elective class times at a certain school, with four teachers available to teach: A, B, C, and D. It is known that teachers A and B can each teach up to two classes, while teachers C and D can each teach up to one class. The requirement is that each of the two periods must have exactly two teachers teaching (without considering the classes and content taught by the teachers). How many different teaching arrangements are there?\nA: 20\nB: 19\nC: 16\nD: 15",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 323,
"need_tools_kwargs": true,
"question": "Are both villages, Sarab-E Seyyed Ali and Qarjiligan, 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": "yes",
"style": "rule"
} | {
"index": 324,
"need_tools_kwargs": true,
"question": "Are both villages, Bideshk, Jiroft and Mir Abdollah, 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": "Alexander Cunningham",
"style": "rule"
} | {
"index": 325,
"need_tools_kwargs": true,
"question": "Was Cody Hoffman or Alexander Cunningham born first?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Television Broadcast Limited",
"style": "rule"
} | {
"index": 326,
"need_tools_kwargs": true,
"question": "The Rippling Blossom features an actress who works under what Hong Kong entity?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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 = \\frac{b}{2}",
"style": "rule"
} | {
"index": 327,
"need_tools_kwargs": true,
"question": "Given a rectangle $ABCD$, find the locus of points $X$ such that $AX + BX = CX + DX$.",
"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... | qa | {
"ground_truth": "Placebo",
"style": "rule"
} | {
"index": 328,
"need_tools_kwargs": true,
"question": "What band sings a song whose title is slang for an anesthesia drug?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "60",
"style": "rule"
} | {
"index": 329,
"need_tools_kwargs": true,
"question": "Two cones have a common vertex, and the slant height of the first cone is the height of the second cone. The angle at the vertex of the axial section of the first cone is $\\arccos \\frac{1}{3}$, and of the second cone is $120^{\\circ}$. Find the angle between the sides where the lateral surfaces of the cones intersect.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "100",
"style": "rule"
} | {
"index": 330,
"need_tools_kwargs": true,
"question": "Let $\\alpha$ and $\\beta$ be real numbers. Find the minimum value of\n\\[(2 \\cos \\alpha + 5 \\sin \\beta - 8)^2 + (2 \\sin \\alpha + 5 \\cos \\beta - 15)^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": "-3, -1, 1, 5",
"style": "rule"
} | {
"index": 331,
"need_tools_kwargs": true,
"question": "Let \\( x, y, z \\) be nonzero real numbers. Use the listing method to represent the set of all possible values of the algebraic expression \\( \\frac{x}{|x|} + \\frac{y}{|y|} + \\frac{z}{|z|} + \\frac{xy}{|xy|} + \\frac{xyz}{|xyz|} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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{16}{3}",
"style": "rule"
} | {
"index": 332,
"need_tools_kwargs": true,
"question": "The nonzero numbers \\( x, y \\), and \\( z \\) satisfy the equations\n\\[\nxy = 2(x + y), \\quad yz = 4(y + z), \\quad \\text{and} \\quad xz = 8(x + z).\n\\]\nSolve for \\( 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": "12",
"style": "rule"
} | {
"index": 333,
"need_tools_kwargs": true,
"question": "The positive real numbers $a, b, c$ satisfy the following equations:\n\n$$\\frac{a}{2b+1} + \\frac{2b}{3c+1} + \\frac{3c}{a+1} = 1$$\n\n$$\\frac{1}{a+1} + \\frac{1}{2b+1} + \\frac{1}{3c+1} = 2$$\n\nWhat is the value of $\\frac{1}{a} + \\frac{1}{b} + \\frac{1}{c}$?",
"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... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 334,
"need_tools_kwargs": true,
"question": "Each of the 5 brothers owns a piece of land. One day they pooled their money, bought their neighbor's garden, and divided the new land equally among themselves. As a result, Andrey's plot increased by $10\\%$, Boris's by $\\frac{1}{15}$, Vladimir's by $5\\%$, Grigory's by $4\\%$, and Dmitry's by $\\frac{1}{30}$. By what percentage did the total area of their land increase?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 335,
"need_tools_kwargs": true,
"question": "Are both Pfungwa Dziike and Mamnoon Hussain 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": "The Micro-Professor MPF-I, introduced in 1981 by Multitech (which, in 1987, changed its name to Acer), was the first branded computer product from Multitech and probably one of the world's longest selling computers.",
"style": "rule"
} | {
"index": 336,
"need_tools_kwargs": true,
"question": "Which company, Honeywell or Multitech, created the Micro-Professor MPF-I, which was the world's longest selling computer and later became Acer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "role of Vanessa on \"Atlanta\"",
"style": "rule"
} | {
"index": 337,
"need_tools_kwargs": true,
"question": "What is american actress ,who appeared in the Netflix anthology series written, directed, edited and produced by Joe Swanberg, best known for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "6 September 1962",
"style": "rule"
} | {
"index": 338,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Hangmen Also 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... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 339,
"need_tools_kwargs": true,
"question": "满足方程 \\df{1}{k_1}+\\df{1}{k_2}+\\cdots+\\df{1}{k_n}=1，k_1k_2\\cdots k_n\\leq 200 的所有有序正整数组 (n,k_1,\\cdots,k_n) 的个数为__________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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}{4}",
"style": "rule"
} | {
"index": 340,
"need_tools_kwargs": true,
"question": "Given the function $f(x)= \\begin{cases} kx^{2}+2x-1, & x\\in (0,1] \\\\ kx+1, & x\\in (1,+\\infty) \\end{cases}$ has two distinct zeros $x_{1}$ and $x_{2}$, then the maximum value of $\\dfrac {1}{x_{1}}+ \\dfrac {1}{x_{2}}$ 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": "Amparo Valle",
"style": "rule"
} | {
"index": 341,
"need_tools_kwargs": true,
"question": "Who is the mother of the composer of film Todo Es Mentira?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "182",
"style": "rule"
} | {
"index": 342,
"need_tools_kwargs": true,
"question": "Arthur, Bob, and Carla each choose a three-digit number. They each multiply the digits of their own numbers. Arthur gets 64, Bob gets 35, and Carla gets 81. Then, they add corresponding digits of their numbers together. The total of the hundreds place is 24, that of the tens place is 12, and that of the ones place is 6. What is the difference between the largest and smallest of the three original numbers?\n\n*Proposed by Jacob Weiner*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Julia Scarlett Elizabeth Louis-Dreyfus",
"style": "rule"
} | {
"index": 343,
"need_tools_kwargs": true,
"question": "The Statue is an episode of the series that includes what actress and comedienne?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 344,
"need_tools_kwargs": true,
"question": "The teacher invented a puzzle by replacing the example \\(a + b = c\\) with the addition of two natural numbers with their digits replaced by letters: identical digits are replaced by identical letters, and different digits by different letters. (For example, if \\(a = 23\\), \\(b = 528\\), then \\(c = 551\\), resulting in the puzzle \\(A B + V A \\Gamma = VVD\\) precisely up to the choice of letters). It turned out that the original example can be uniquely restored from the given puzzle. Find the smallest possible value of the sum \\(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": "Hroch",
"style": "rule"
} | {
"index": 345,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Hroch or Thomas Muentzer (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": "0",
"style": "rule"
} | {
"index": 346,
"need_tools_kwargs": true,
"question": "是否存在实系数非常数多项式 P(x),Q(x)，使得P(x)^{10}+P(x)^9=Q(x)^{21}+Q(x)^{20}?\n让我们一步一步地思考。请以“Answer: \\boxed{<final_answer>}”的格式输出最终答案。如果是选择题，请按顺序输出正确的选项，不带任何标点或空格。对于其他类型的问题，请只输出最终答案的数值。",
"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... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 347,
"need_tools_kwargs": true,
"question": "To guard a military installation around the clock, a day shift and a night shift are required. A sentry guard may take either a day, or a night shift, or work around the clock. In these cases the guard is given a leave of absence of not less than $1, 1.5$ or 2.5 full days, respectively. What is the least number of guards necessary to ensure the security of the installation?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Lee Sung-min",
"style": "rule"
} | {
"index": 348,
"need_tools_kwargs": true,
"question": "Which South Korean singer born in 1986 appeares as a guest to the Seoul Concert?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 349,
"need_tools_kwargs": true,
"question": "Do both directors of films The Grand Parade and Cartels (Film) 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": "x(y-1)=0",
"style": "rule"
} | {
"index": 350,
"need_tools_kwargs": true,
"question": "If $|x-\\log y|=x+\\log y$ where $x$ and $\\log y$ are real, then",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Philip Burne-Jones",
"style": "rule"
} | {
"index": 351,
"need_tools_kwargs": true,
"question": "Who is the son of the painter of The Last Sleep of Arthur in Avalon?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 352,
"need_tools_kwargs": true,
"question": "\\( \\frac{9 b^{4 / 3}-\\frac{a^{3 / 2}}{b^{2}}}{\\sqrt{a^{3 / 2} b^{-2}+6 a^{3 / 4} b^{-1 / 3}+9 b^{4 / 3}}} \\cdot \\frac{b^{2}}{a^{3 / 4}-3 b^{5 / 3}} ; \\quad b=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": "The False Friend",
"style": "rule"
} | {
"index": 353,
"need_tools_kwargs": true,
"question": "Which film has the director who died earlier, The False Friend or Two Smart People?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "\\left[\\frac{1}{3}, \\frac{3}{5}\\right]",
"style": "rule"
} | {
"index": 354,
"need_tools_kwargs": true,
"question": "Find the domain of the real-valued function $$f(x)=\\sqrt{-15x^2+14x-3}.$$ Give the endpoints in your answer as common fractions, not mixed numbers or decimals.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "New York",
"style": "rule"
} | {
"index": 355,
"need_tools_kwargs": true,
"question": "Where was the director of film These Wilder Years 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": "594",
"style": "rule"
} | {
"index": 356,
"need_tools_kwargs": true,
"question": "The rectangle $ABCD^{}_{}$ below has dimensions $AB^{}_{} = 12 \\sqrt{3}$ and $BC^{}_{} = 13 \\sqrt{3}$ . Diagonals $\\overline{AC}$ and $\\overline{BD}$ intersect at $P^{}_{}$ . If triangle $ABP^{}_{}$ is cut out and removed, edges $\\overline{AP}$ and $\\overline{BP}$ are joined, and the figure is then creased along segments $\\overline{CP}$ and $\\overline{DP}$ , we obtain a triangular pyramid, all four of whose faces are isosceles triangles. Find the volume of this pyramid. AIME 1990 Problem 14.png",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 357,
"need_tools_kwargs": true,
"question": "Are both bands, Spottiswoode & His Enemies and Colosseum II, 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... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 358,
"need_tools_kwargs": true,
"question": "John thought of a positive two-digit number. He multiplied it by \\(5\\) and subtracted \\(7\\). After that, he switched the digits of the result, which ended up being a number between \\(84\\) and \\(90\\), inclusive. What was John's original 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... | qa | {
"ground_truth": "five",
"style": "rule"
} | {
"index": 359,
"need_tools_kwargs": true,
"question": "Dorothy Goetz was the first wife of a composer that arrived in the United States from Russia at what age?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Awaken Punch",
"style": "rule"
} | {
"index": 360,
"need_tools_kwargs": true,
"question": "Which film was released first, The Awaken Punch or The Fate Of The Furious?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Niacin",
"style": "rule"
} | {
"index": 361,
"need_tools_kwargs": true,
"question": "What is the name of the band that features a person that has also worked with Talas, Steve Vai, David Lee Roth, Mr. Big and The Winery Dogs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\begin{pmatrix} 20 \\\\ 35 \\\\ 15 \\end{pmatrix}",
"style": "rule"
} | {
"index": 362,
"need_tools_kwargs": true,
"question": "A transformation $S,$ operating on vectors, has the following properties:\n(i) $S(a \\mathbf{v} + b \\mathbf{w}) = a S(\\mathbf{v}) + b S(\\mathbf{w})$ for all vectors $\\mathbf{v}$ and $\\mathbf{w},$ and for all scalars $a$ and $b.$\n(ii) $S(\\mathbf{v} \\times \\mathbf{w}) = S(\\mathbf{v}) \\times S(\\mathbf{w})$ for all vectors $\\mathbf{v}$ and $\\mathbf{w}.$\n(iii) $S \\begin{pmatrix} 8 \\\\ 4 \\\\ 2 \\end{pmatrix} = \\begin{pmatrix} 5 \\\\ 0 \\\\ 10 \\end{pmatrix}.$\n(iv) $S \\begin{pmatrix} -8 \\\\ 2 \\\\ 4 \\end{pmatrix} = \\begin{pmatrix} 5 \\\\ 10 \\\\ 0 \\end{pmatrix}.$\n\nDetermine $S \\begin{pmatrix} 4 \\\\ 10 \\\\ 12 \\end{pmatrix}.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 363,
"need_tools_kwargs": true,
"question": "Given the sequence \\(\\{a_{n}\\}\\) that satisfies the condition \\((n-1) a_{n+1}=(n+1)\\left(a_{n}-1\\right)\\) with \\(a_{2}=6\\), let \\(b_{n} = a_{n} + n\\) for \\(n \\in \\mathbf{N}_{+}\\).\n\n1. Find the first 4 terms of the sequence \\(\\{a_{n}\\}\\).\n2. Determine the sequence \\(b_{n}\\).\n3. Is there a non-zero constant \\(p, q\\) such that the sequence \\(\\left\\{\\frac{a_{n}}{p \\cdot n+q}\\right\\}\\) forms an arithmetic sequence? If it exists, find the relationship that \\(p, q\\) must satisfy; if it does not exist, provide an explanation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Emperor Alexander III",
"style": "rule"
} | {
"index": 364,
"need_tools_kwargs": true,
"question": "The composer of The String Quartet No. 3 in E-flat minor was awarded a lifetime pension by what emperor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Kulathupuzha",
"style": "rule"
} | {
"index": 365,
"need_tools_kwargs": true,
"question": "Where was the composer of film Marikkunnilla Njan 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": "4.0",
"style": "rule"
} | {
"index": 366,
"need_tools_kwargs": true,
"question": "Determine the minimum term of the sequence\n\n$$\n\\sqrt{\\frac{7}{6}}+\\sqrt{\\frac{96}{7}}, \\sqrt{\\frac{8}{6}}+\\sqrt{\\frac{96}{8}}, \\sqrt{\\frac{9}{6}}+\\sqrt{\\frac{96}{9}}, \\ldots, \\sqrt{\\frac{95}{6}}+\\sqrt{\\frac{96}{95}}\n$$",
"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": "2",
"style": "rule"
} | {
"index": 367,
"need_tools_kwargs": true,
"question": "If \\(\\frac{y}{x-z}=\\frac{x+y}{z}=\\frac{x}{y}\\) for three positive numbers \\(x,y\\) and \\(z\\), all different, then \\(\\frac{x}{y}=\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 368,
"need_tools_kwargs": true,
"question": "Were Rachel De Solla and Asunción Acosta of 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": "0",
"style": "rule"
} | {
"index": 369,
"need_tools_kwargs": true,
"question": "Solve the inequality: \\( x + y^{2} + \\sqrt{x - y^{2} - 1} \\leq 1 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2x^2 - 16x + 32 - y = 0",
"style": "rule"
} | {
"index": 370,
"need_tools_kwargs": true,
"question": "The graph of a parabola has the following properties:\n- It passes through the point $(2, 8)$.\n- The $y$-coordinate of the focus is 4.\n- Its axis of symmetry is parallel to the $y$-axis.\n- Its vertex lies on the $y$-axis.\n\nExpress the equation of the parabola in the form \n\\[ax^2 + bxy + cy^2 + dx + ey + f = 0,\\]\nwhere $a$, $b$, $c$, $d$, $e$, $f$ are integers, $a$ is a positive integer, and $\\gcd(|a|,|b|,|c|,|d|,|e|,|f|) = 1.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4.5",
"style": "rule"
} | {
"index": 371,
"need_tools_kwargs": true,
"question": "In the right trapezoid \\(ABCD\\), where \\(AB \\perp BC\\), \\(BC \\parallel AD\\), and the lengths are given as \\(AB = 12\\), \\(BC = 10\\), and \\(AD = 6\\). Point \\(F\\) is a movable point on a circle centered at point \\(C\\) with a radius of 8, and point \\(E\\) is a point on \\(AB\\). When the value of \\(DE + EF\\) is minimized, determine the length of \\(AE\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "DHL Worldwide Express",
"style": "rule"
} | {
"index": 372,
"need_tools_kwargs": true,
"question": "The subject of James Scurlock's most recent book was co-founder of what company?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 373,
"need_tools_kwargs": true,
"question": "**Problem:**\n\nThe 14 prime numbers less than $\\sqrt{2005}$ are:\n\n$$2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43$$\n\nIf we take 15 or more numbers that are relatively prime, they cannot all be of the form $\\prod^n p_i^{a_i}$ with $n=1$. One of them must be prime because it must be prime with all prime numbers less than $\\sqrt{2005}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Max Joseph",
"style": "rule"
} | {
"index": 374,
"need_tools_kwargs": true,
"question": "The actress that rose to prominence after appearing in Robin Thicke's \"Blurred Lines\" video co-stars with Zac Efron in a 2015 film directed by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 375,
"need_tools_kwargs": true,
"question": "A natural number is called a *prime power* if that number can be expressed as $p^n$ for some prime $p$ and natural number $n$ . \nDetermine the largest possible $n$ such that there exists a sequence of prime powers $a_1, a_2, \\dots, a_n$ such that $a_i = a_{i - 1} + a_{i - 2}$ for all $3 \\le i \\le n$ . ",
"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": "Der Schinderhannes",
"style": "rule"
} | {
"index": 376,
"need_tools_kwargs": true,
"question": "Which film has the director born first, The Very Late Afternoon of a Faun or Der Schinderhannes?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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 magazine was founded in 1988",
"style": "rule"
} | {
"index": 377,
"need_tools_kwargs": true,
"question": "Was the Bass Player and Moving Pictures in production at the same time?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 378,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Goodbye Youth (1927 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": "Columbus, Ohio",
"style": "rule"
} | {
"index": 379,
"need_tools_kwargs": true,
"question": "Deadringer features vocals from the rapper from what city?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 380,
"need_tools_kwargs": true,
"question": "$ABCD$ is a square 4 inches on a side, and each of the inside squares is formed by joining the midpoints of the outer square's sides. What is the area of the shaded region in square inches?\n\n[asy]\ndraw( (-1,-1)--(1,-1) -- (1,1) -- (-1,1)--cycle); draw( (-2,-2)--(2,-2) -- (2,2) -- (-2,2)--cycle);\ndraw( (-2, -2) -- (2, -2) -- (2,2) -- (-2 ,2)-- cycle); draw( (0, 2) -- (2,0) -- (0, -2) -- (-2, 0)-- cycle);\ndraw( (0, 2) -- (2, 0) -- (0 , -2) -- (-2 ,0)-- cycle);\n\nfilldraw( (-1, -1) -- (1, -1) -- (0, -2)--cycle, gray);\nfilldraw( (1, -1) -- (1, 1) -- (2, 0)--cycle, gray);\nfilldraw( (1, 1) -- (-1, 1) -- (0, 2)--cycle, gray);\nfilldraw( (-1, 1) -- (-1, -1) -- (-2, 0)--cycle, gray);\n\nlabel(\"$A$\", (-2,2), NW);\nlabel( \"$B$\", (2,2), NE);\nlabel( \"$C$\", (2,-2), SE);\nlabel( \"$D$\", (-2,-2), SW);\n\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "EduPristine",
"style": "rule"
} | {
"index": 381,
"need_tools_kwargs": true,
"question": "Which online classroom training provider provides certifications in the field that deals with the study of investments?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 382,
"need_tools_kwargs": true,
"question": "There are 12 students participating in a performance event. The event consists of $n$ programs. Each program is performed by 6 students, and any two programs have at most 2 common performers. Find the maximum value of $n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Detroit, Michigan",
"style": "rule"
} | {
"index": 383,
"need_tools_kwargs": true,
"question": "Where is the location of the headquarters of the company that built the auxiliary propulsion system for the STV Fair Jeanne?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "decoration posthumously",
"style": "rule"
} | {
"index": 384,
"need_tools_kwargs": true,
"question": "What did the second cutter named for Signalman First Class received besides from the Medal of Honor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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{4}{3}",
"style": "rule"
} | {
"index": 385,
"need_tools_kwargs": true,
"question": "A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio of the area of the larger hexagon to the area of the smaller hexagon? Express your answer as a common fraction.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1}^N",
"style": "rule"
} | {
"index": 386,
"need_tools_kwargs": true,
"question": "Given the sequence \\( a_{1} = 2 \\),\n\\[ a_{n+1} = \\frac{2^{n+1} a_{n}}{\\left(n+\\frac{1}{2}\\right) a_{n} + 2^{n}} \\text{ for } n \\in \\mathbf{Z}_{+}, \\]\n\n(1) Find the general term formula of the sequence \\(\\{a_{n}\\}\\).\n\n(2) Given that \\( b_{n} = \\frac{n^{3} + 2n^{2} + 2n + 2}{n(n+1)(n^{2} + 1)a} \\), find the sum of the first \\( n \\) terms of the sequence \\(\\{b_{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": "Brian Miller",
"style": "rule"
} | {
"index": 387,
"need_tools_kwargs": true,
"question": "Who is the writer of the 2011 sci-fi thriller starring Warren Christie?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "1023",
"style": "rule"
} | {
"index": 388,
"need_tools_kwargs": true,
"question": "Regular decagon $P_1 P_2 \\dotsb P_{10}$ is drawn in the coordinate plane with $P_1$ at $(1,0)$ and $P_6$ at $(3,0).$ If $P_n$ is the point $(x_n,y_n),$ compute the numerical value of the product\n\\[(x_1 + y_1 i)(x_2 + y_2 i)(x_3 + y_3 i) \\dotsm (x_{10} + y_{10} i).\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "26x^2+30x",
"style": "rule"
} | {
"index": 389,
"need_tools_kwargs": true,
"question": "Expand the following expression: $(13x+15)\\cdot 2x$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 390,
"need_tools_kwargs": true,
"question": "Given the function\n$$\nf(x)=x^{4}+a x^{3}+b x^{2}+a x+1 \\quad (a, b \\in \\mathbf{R})\n$$\n\nwhich has at least one root, find the minimum value of \\( a^2 - b \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac{1}{2}",
"style": "rule"
} | {
"index": 391,
"need_tools_kwargs": true,
"question": "A fair 12-sided die is rolled. What is the probability that the number rolled is a divisor of 12?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3:1",
"style": "rule"
} | {
"index": 392,
"need_tools_kwargs": true,
"question": "Josh has 85 marbles. There are some blue marbles, 14 red marbles, and the rest are yellow. If there are 29 yellow marbles, what is the ratio of blue marbles to red marbles?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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{3}}{2}",
"style": "rule"
} | {
"index": 393,
"need_tools_kwargs": true,
"question": "A regular hexagon with side length 1 is rotated about one vertex by an angle of $\\alpha$, where $0^\\circ < \\alpha < 60^\\circ$ and $\\cos \\alpha = \\frac{\\sqrt{3}}{2}$. Find the area of the shaded region that is common to both hexagons.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "Jensen Buchanan",
"style": "rule"
} | {
"index": 394,
"need_tools_kwargs": true,
"question": "Who is younger, Kjersti Døvigen or Jensen Buchanan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "n^2",
"style": "rule"
} | {
"index": 395,
"need_tools_kwargs": true,
"question": "On each square of an $n\\times n$ -chessboard, there are two bugs. In a move, each bug moves to a (vertically of horizontally) adjacent square. Bugs from the same square always move to different squares. Determine the maximal number of free squares that can occur after one move.\n\n*(Swiss Mathematical Olympiad 2011, Final round, problem 10)*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": "104",
"style": "rule"
} | {
"index": 396,
"need_tools_kwargs": true,
"question": "In quadrilateral $ABCD$, let $AB = 7$, $BC = 11$, $CD = 3$, $DA = 9$, $\\angle BAD = \\angle BCD = 90^o$, and diagonals $\\overline{AC}$ and $\\overline{BD}$ intersect at $E$. The ratio $\\frac{BE}{DE} = \\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$.",
"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... | math | {
"ground_truth": "70",
"style": "rule"
} | {
"index": 397,
"need_tools_kwargs": true,
"question": "In the diagram, triangle \\(ABC\\) is isosceles, with \\(AB = AC\\). If \\(\\angle ABC = 50^\\circ\\) and \\(\\angle DAC = 60^\\circ\\), the value of \\(x\\) 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": "Soft And Sentimental",
"style": "rule"
} | {
"index": 398,
"need_tools_kwargs": true,
"question": "Which album was released earlier, Soft And Sentimental or Sky'S The Limit (Magic Album)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a 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": 399,
"need_tools_kwargs": true,
"question": "Do the movies Satan In High Heels and Round Eyes In The Middle Kingdom, originate from the same country?",
"split": "train"
} | null |
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