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": "171",
"style": "rule"
} | {
"index": 1600,
"need_tools_kwargs": true,
"question": "Suppose you have three children and 40 pieces of candy. How many ways are there to distribute the candy such that each child gets more than one but fewer than 20 pieces?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "BEE",
"style": "rule"
} | {
"index": 1601,
"need_tools_kwargs": true,
"question": "The first five letters of the alphabet are assigned the values \\( A=1, B=2, C=3, D=4, \\) and \\( E=5 \\). The value of a word equals the sum of the values of its letters. For example, the value of \\( B A D \\) is \\( 2+1+4=7 \\). Which of the following words has the largest value?\n(A) \\( B A D \\)\n(B) \\( C A B \\)\n(C) \\( D A D \\)\n(D) \\( B E E \\)\n(E) \\( B E D \\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Yelberton Abraham Tittle Jr.",
"style": "rule"
} | {
"index": 1602,
"need_tools_kwargs": true,
"question": "Who is a former professional American football quarterback who broke his left hand and had a professional American football halfback replace him however he was relieved by Tittle in the fourth quarter of the game? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "become ensnared",
"style": "rule"
} | {
"index": 1603,
"need_tools_kwargs": true,
"question": "Who wants to help destroy the one ring?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, -5)",
"style": "rule"
} | {
"index": 1604,
"need_tools_kwargs": true,
"question": "\nFind two integers \\( A \\) and \\( B \\) that are 1 unit apart on the number line and possess the following property: a root of the equation \\( x^{3}+5x^{2}-3x+1=0 \\) lies in the interval \\( (A, 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": "P^{2n}Q^m",
"style": "rule"
} | {
"index": 1605,
"need_tools_kwargs": true,
"question": "Suppose that $P = 2^m$ and $Q = 3^n$. Which of the following is equal to $12^{mn}$ for every pair of integers $(m,n)$?\n$\\textbf{(A)}\\ P^2Q \\qquad \\textbf{(B)}\\ P^nQ^m \\qquad \\textbf{(C)}\\ P^nQ^{2m} \\qquad \\textbf{(D)}\\ P^{2m}Q^n \\qquad \\textbf{(E)}\\ P^{2n}Q^m$",
"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... | math | {
"ground_truth": "(-\\infty, 10]",
"style": "rule"
} | {
"index": 1606,
"need_tools_kwargs": true,
"question": "Given an odd function $f(x)$ defined on $\\mathbb{R}$ such that when $x > 0$, $f(x) = x^{2} - 2x - 3$. \n$(1)$ Find the analytical expression of the function $f(x)$. \n$(2)$ If there exist $x_{1}$, $x_{2} \\in [-4,4]$ such that $|f(x_{1}) - f(x_{2})| \\geq m$, find the range of real number $m$.",
"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": "16 September 1952",
"style": "rule"
} | {
"index": 1607,
"need_tools_kwargs": true,
"question": "What is the date of death of Walter De Frece's 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": "Jersey City",
"style": "rule"
} | {
"index": 1608,
"need_tools_kwargs": true,
"question": "Where was the director of film Two Tickets To London 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": "51",
"style": "rule"
} | {
"index": 1609,
"need_tools_kwargs": true,
"question": "Squares are constructed on each of the sides of triangle $\\triangle ABC$, as shown. If the perimeter of $\\triangle ABC$ is 17, then what is the perimeter of the nine-sided figure that is composed of the remaining three sides of each of the squares? [asy]\nimport olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;\npicture a;\ndraw(a,(0,0)--(3,0)--(0,4)--cycle);\nlabel(\"$A$\",(-2.1,-2.2),SW);\nlabel(\"$B$\",(3.1,-2.2),SE);\nlabel(\"$C$\",(0.05,0.3),N);\ndraw(a,(3,0)--(3,-3)--(0,-3)--(0,0));\ndraw(a,(0,0)--(-4,0)--(-4,4)--(0,4));\ndraw(a,shift(-2.4,2.2)*rotate(90 - aTan(4/3))*((3,0)--(8,0)--(8,-5)--(3,-5)));\nadd(currentpicture,rotate(-130)*a);\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": "Austria",
"style": "rule"
} | {
"index": 1610,
"need_tools_kwargs": true,
"question": "Which country the director of film Death And Diamonds (Film) 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": "52.5",
"style": "rule"
} | {
"index": 1611,
"need_tools_kwargs": true,
"question": "On a rectangular sheet of paper, a picture in the shape of a \"cross\" is drawn from two rectangles \\(ABCD\\) and \\(EFGH\\), whose sides are parallel to the edges of the sheet. It is known that \\(AB = 9\\), \\(BC = 5\\), \\(EF = 3\\), and \\(FG = 10\\). Find the area of the quadrilateral \\(AFCH\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1612,
"need_tools_kwargs": true,
"question": "Consider the polynomial \n\\[\nP(x) = \\prod_{k=0}^{10}(x^{2^k} + 2^k) = (x+1)(x^2+2)(x^4+4)\\cdots(x^{1024}+1024).\n\\]\nDetermine the value of \\(a\\) such that the coefficient of \\(x^{2012}\\) in \\(P(x)\\) can be expressed as \\(2^a\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 1613,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Return Of Pink Five?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1614,
"need_tools_kwargs": true,
"question": "Do both films Guelwaar and Rooms To Let 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": "University of Nebraska–Lincoln",
"style": "rule"
} | {
"index": 1615,
"need_tools_kwargs": true,
"question": "Where did the 2010 coach of the Ohio Bobcats coach from 1998 to 2003?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1616,
"need_tools_kwargs": true,
"question": "A sequence $(b_n)$ is defined as follows: $b_1 = 1,$ $b_2 = 2,$ $b_3 = 3,$ and\n\\[b_n = \\frac{2(b_{n - 1} - b_{n - 2})}{b_{n - 3}}\\] for all $n \\ge 4.$ Calculate $b_{15}$.",
"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... | math | {
"ground_truth": "36",
"style": "rule"
} | {
"index": 1617,
"need_tools_kwargs": true,
"question": "Source: 2017 Canadian Open Math Challenge, Problem A4\n-----\nThree positive integers $a$ , $b$ , $c$ satisfy $$ 4^a \\cdot 5^b \\cdot 6^c = 8^8 \\cdot 9^9 \\cdot 10^{10}. $$ Determine the sum of $a + b + c$ .\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": "3504",
"style": "rule"
} | {
"index": 1618,
"need_tools_kwargs": true,
"question": "What is the smallest number after $3456$ whose digits add up to $12$?",
"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... | qa | {
"ground_truth": "19 February 1946",
"style": "rule"
} | {
"index": 1619,
"need_tools_kwargs": true,
"question": "When was the director of film The Whore And The Whale 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{195}{8}",
"style": "rule"
} | {
"index": 1620,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ has $AB = 13, BC = 14$, and $AC = 15$. The points $D, E$, and $F$ are the midpoints of $\\overline{AB}, \\overline{BC}$, and $\\overline{AC}$ respectively. Let $X \\neq E$ be the intersection of the circumcircles of $\\triangle BDE$ and $\\triangle CEF$. What is $XA + XB + XC$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mexico",
"style": "rule"
} | {
"index": 1621,
"need_tools_kwargs": true,
"question": "Which country is the species Acanthops bidens native to?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1622,
"need_tools_kwargs": true,
"question": "Let $P(x)$ and $Q(x)$ be distinct, non-constant polynomials such that\n\\[P(Q(x)) = P(x) Q(x)\\]for all $x.$ If $P(1) = P(-1) = 100,$ then find the polynomial $Q(x)$ in the form $ax^2 + b$. Please give the value of $a + b$.",
"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... | qa | {
"ground_truth": "November 30, 2018",
"style": "rule"
} | {
"index": 1623,
"need_tools_kwargs": true,
"question": "What is the date of death of Pauline Robinson Bush'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": "40",
"style": "rule"
} | {
"index": 1624,
"need_tools_kwargs": true,
"question": "A Moskvich car was sent to transport mail from the post office to the airfield. The plane carrying the mail landed earlier than expected, and the delivered mail was sent to the post office by a passing truck. After driving for 30 minutes, the truck met the Moskvich on the road, which received the mail and turned back immediately without delay. The Moskvich arrived at the post office 20 minutes earlier than usual. How many minutes earlier than the scheduled time did the plane land?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$0.50",
"style": "rule"
} | {
"index": 1625,
"need_tools_kwargs": true,
"question": "Each tire costs a certain amount, and the total cost for 8 tires is $4. How much does each tire cost?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "June 26, 2014",
"style": "rule"
} | {
"index": 1626,
"need_tools_kwargs": true,
"question": "What date was the draft, in which Nemanja Dangubić was selected by the Philadelphia 76ers, held? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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^{99}-2^{99}",
"style": "rule"
} | {
"index": 1627,
"need_tools_kwargs": true,
"question": "Petya wants to list all possible sequences of 100 natural numbers where the number three appears at least once, and any two consecutive elements differ by no more than 1. How many such sequences does he need to list?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Evictors",
"style": "rule"
} | {
"index": 1628,
"need_tools_kwargs": true,
"question": "Which film has the director who died later, The Evictors or Just For Tonight (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": "no",
"style": "rule"
} | {
"index": 1629,
"need_tools_kwargs": true,
"question": "Do both Kansas City Kitty and Side Street Angel 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... | math | {
"ground_truth": "\\frac{x - 1}{x}",
"style": "rule"
} | {
"index": 1630,
"need_tools_kwargs": true,
"question": "Given \\( f(x)=\\frac{1+x}{2-x} \\), define \\( f_{1}(x)=f(x) \\) and \\( f_{n+1}(x)=f\\left[f_{n}(x)\\right] \\). Which of the following is the expression for \\( f_{16}(x) \\)?\nA. \\( \\frac{x+1}{x} \\)\nB. \\( \\frac{x}{x+1} \\)\nC. \\( \\frac{x}{x-1} \\)\nD. \\( \\frac{x-1}{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": "Caitlín \"Cait\" O'Riordan",
"style": "rule"
} | {
"index": 1631,
"need_tools_kwargs": true,
"question": "Haunted was originally sung by which Nigerian-born musician?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Danfoss Group",
"style": "rule"
} | {
"index": 1632,
"need_tools_kwargs": true,
"question": "Mads Clausen was the founder of what company that is a global producer of products and services that are used in areas such as cooling food, air conditioning, heating buildings, and controlling electric motors?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "13",
"style": "rule"
} | {
"index": 1633,
"need_tools_kwargs": true,
"question": "Let $P(x)$ be the degree three polynomial with\n\\begin{align*}\nP(1) &= \\log 1, \\\\\nP(2) &= \\log 2, \\\\\nP(3) &= \\log 3, \\\\\nP(4) &= \\log 4.\n\\end{align*}Then $P(5)$ can be expressed in the form $A \\log \\frac{B}{C},$ where $A,$ $B,$ and $C$ are positive integers, and $C$ is prime. Find $A + B + C.$",
"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": "Ricco",
"style": "rule"
} | {
"index": 1634,
"need_tools_kwargs": true,
"question": "What was the pseudonym of the Swiss painter Erich Wassmer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 1969",
"style": "rule"
} | {
"index": 1635,
"need_tools_kwargs": true,
"question": "You Got the Silver is a song from the album released in what month?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": 1636,
"need_tools_kwargs": true,
"question": "On the first question, 40 dwarfs answered \"yes\"; on the second question, 50 dwarfs answered \"yes\"; on the third question, 70 dwarfs answered \"yes\"; and on the fourth question, 100 dwarfs answered \"yes.\" How many honest dwarfs are in the underground kingdom?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "72^\\circ",
"style": "rule"
} | {
"index": 1637,
"need_tools_kwargs": true,
"question": "In a regular pentagon, the measure of each interior angle is $108^{\\circ}$. If $P Q R S T$ is a regular pentagon, then the measure of $\\angle P R S$ is\n(A) $72^{\\circ}$\n(B) $54^{\\circ}$\n(C) $60^{\\circ}$\n(D) $45^{\\circ}$\n(E) $80^{\\circ}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1638,
"need_tools_kwargs": true,
"question": "多项式序列 \\{f_n(x)\\} 满足 f_1(x)=1, f_{2n}(x)=xf_n(x), f_{2n+1}(x)=f_n(x)+f_{n+1}(x), n\\geq1. 求所有的有理数 a，使得 a 是某个 f_n(x) 的根。已知答案的形式为0, -1, -\\frac{k_1}{m_1}, -\\frac{k_2}{m_2}，请给出k_1+m_1+k_2+m_2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": "no",
"style": "rule"
} | {
"index": 1639,
"need_tools_kwargs": true,
"question": "Do director of film Kiss Her! and director of film The Dark At The Top Of The Stairs (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": "1",
"style": "rule"
} | {
"index": 1640,
"need_tools_kwargs": true,
"question": "You have a $3 \\times 2021$ chessboard from which one corner square has been removed. You also have a set of $3031$ identical dominoes, each of which can cover two adjacent chessboard squares. Let $m$ be the number of ways in which the chessboard can be covered with the dominoes, without gaps or overlaps. What is the remainder when $m$ is divided by $19$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Jeff Abercrombie",
"style": "rule"
} | {
"index": 1641,
"need_tools_kwargs": true,
"question": "\"Jesus or a Gun\" is a single by a band formmed by Carl Bell and what bassist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1642,
"need_tools_kwargs": true,
"question": "Lucy lost one-third of her money. She then spent one-fourth of the remainder. Lucy had $30 at the beginning. How much money was left after she spent one-fourth of the remainder?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "16.39",
"style": "rule"
} | {
"index": 1643,
"need_tools_kwargs": true,
"question": "When I walk on a moving walkway in one direction, I traverse it in 6 seconds. In the opposite direction, I traverse it in 6 minutes, which is the time it usually takes me to walk a distance of 500 meters.\n\nWhat is the length of the moving walkway?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "19818",
"style": "rule"
} | {
"index": 1644,
"need_tools_kwargs": true,
"question": "Evaluate the expression $3f(3) + f(27)$ for the function $f(x) = x^3 + 3\\sqrt[3]{x}$.",
"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": "50",
"style": "rule"
} | {
"index": 1645,
"need_tools_kwargs": true,
"question": "Let \\\\({{a}_n}=\\dfrac{1}{n}\\sin \\dfrac{n\\pi }{25},{{s}_n}={{a}_1}+{{a}_2}+...+{{a}_n}\\\\), among \\\\(S_{1},S_{2},\\cdots,S_{50}\\\\), the number of positive numbers 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": "90",
"style": "rule"
} | {
"index": 1646,
"need_tools_kwargs": true,
"question": "In a regular tetrahedron \\(ABCD\\), points \\(E\\) and \\(F\\) are located on edges \\(AB\\) and \\(CD\\) respectively, such that the ratios \\(\\frac{AE}{EB}\\) and \\(\\frac{CF}{FD}\\) are both equal to \\(\\lambda\\), where \\(0 < \\lambda < +\\infty\\). Define the function \\(f(\\lambda) = \\alpha_{\\lambda} + \\beta_{\\lambda}\\), where \\(\\alpha_{\\lambda}\\) is the angle between line segments \\(EF\\) and \\(AC\\), and \\(\\beta_{\\lambda}\\) is the angle between line segments \\(EF\\) and \\(BD\\). Determine the behavior of the function \\(f(\\lambda)\\) as \\(\\lambda\\) varies.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "16 November 1797",
"style": "rule"
} | {
"index": 1647,
"need_tools_kwargs": true,
"question": "When did Prince Wilhelm Of Prussia (1783–1851)'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": "1 July 1981",
"style": "rule"
} | {
"index": 1648,
"need_tools_kwargs": true,
"question": "What is a birthday of one of the sons of Tim Kennelly?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Estadio Fernando Torres",
"style": "rule"
} | {
"index": 1649,
"need_tools_kwargs": true,
"question": "Francisco 'Paco' Antonio Candela Pascual plays his home games in which stadium ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "October 1st",
"style": "rule"
} | {
"index": 1650,
"need_tools_kwargs": true,
"question": "On what date did a Canadian politician born January 2, 1979, succeed as leader of the New Democratic Party in Canada? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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=\\log _{2} \\frac {1}{x}",
"style": "rule"
} | {
"index": 1651,
"need_tools_kwargs": true,
"question": "Which of the following functions is monotonically decreasing in the interval $(0,+\\infty)$?\nA: $y=x^{3}$\nB: $y= \\frac {1}{x-1}$\nC: $y=\\log _{2} \\frac {1}{x}$\nD: $y=-\\tan x$",
"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": "143",
"style": "rule"
} | {
"index": 1652,
"need_tools_kwargs": true,
"question": "Suppose that \\(a\\) and \\(b\\) are positive integers such that \\(\\frac{a}{b-20}\\) and \\(\\frac{b+21}{a}\\) are positive integers. Find the maximum possible value of \\(a + 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": "880",
"style": "rule"
} | {
"index": 1653,
"need_tools_kwargs": true,
"question": "Grogg takes an a × b × c rectangular block (where a, b, c are positive integers), paints the outside of it purple, and cuts it into abc small 1 × 1 × 1 cubes. He then places all the small cubes into a bag, and Winnie reaches in and randomly picks one of the small cubes. If the probability that Winnie picks a totally unpainted cube is 20%, determine all possible values of the number of cubes in the bag. Please provide the sum of all possible values.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{40}{21}",
"style": "rule"
} | {
"index": 1654,
"need_tools_kwargs": true,
"question": "Let \\( \\triangle ABC \\) be a triangle with \\( AB = 5 \\), \\( AC = 8 \\), and \\( \\angle BAC = 60^\\circ \\). Let \\( UVWXYZ \\) be a regular hexagon that is inscribed inside \\( \\triangle ABC \\) such that \\( U \\) and \\( V \\) lie on side \\( BA \\), \\( W \\) and \\( X \\) lie on side \\( AC \\), and \\( Z \\) lies on side \\( CB \\). What is the side length of hexagon \\( UVWXYZ \\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "364",
"style": "rule"
} | {
"index": 1655,
"need_tools_kwargs": true,
"question": "An array composed of certain nonzero natural numbers has the following properties:\n1. Each number in the array (except for 1) is divisible by at least one of $2$, $3$, or $5$.\n2. For any nonzero natural number $n$, if the array contains one of $2n$, $3n$, or $5n$, the array must also contain $n$, $2n$, $3n$, and $5n$.\nIf the number of elements in this array is between 300 and 400, then the array contains how many numbers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$81.30",
"style": "rule"
} | {
"index": 1656,
"need_tools_kwargs": true,
"question": "A total of 1096 people attended the concert at the County Fair. Reserved seats cost $25.00 each and unreserved seats cost a certain amount each. If $26,170.00 was collected and 246 of each type of ticket was sold, how much did the unreserved seats cost?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1657,
"need_tools_kwargs": true,
"question": "A unit has 360 employees. They use the systematic sampling method to select 20 people for a questionnaire survey. The 360 people are randomly numbered from 1 to 360. The number of people selected among the 20 whose numbers fall within the interval [181, 288] 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": "\\sqrt{2},-\\sqrt{2}",
"style": "rule"
} | {
"index": 1658,
"need_tools_kwargs": true,
"question": "The function $f$ is not defined for $x = 0,$ but for all non-zero real numbers $x,$\n\\[f(x) + 2f \\left( \\frac{1}{x} \\right) = 3x.\\]Find the real solutions to $f(x) = f(-x).$ Enter the real solutions, separated by commas.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1659,
"need_tools_kwargs": true,
"question": "The area of a triangle \\(ABC\\) is \\(\\displaystyle 40 \\text{ cm}^2\\). Points \\(D, E\\) and \\(F\\) are on sides \\(AB, BC\\) and \\(CA\\) respectively. If \\(AD = 3 \\text{ cm}, DB = 5 \\text{ cm}\\), and the area of triangle \\(ABE\\) is equal to the area of quadrilateral \\(DBEF\\), find the area of triangle \\(AEC\\) in \\(\\text{cm}^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": "1946",
"style": "rule"
} | {
"index": 1660,
"need_tools_kwargs": true,
"question": "Find the four-digit number that gives a remainder of 112 when divided by 131 and a remainder of 98 when divided by 132.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1661,
"need_tools_kwargs": true,
"question": "Are Yide Mansion and Bolands Centre both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "actor and director",
"style": "rule"
} | {
"index": 1662,
"need_tools_kwargs": true,
"question": "What did Dennis Dugan and Steve Ihnat have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 1663,
"need_tools_kwargs": true,
"question": "Let \\(x\\) and \\(y\\) be positive real numbers satisfying the following system of equations:\n\\[\n\\begin{cases}\n\\sqrt{x}\\left(2 + \\dfrac{5}{x+y}\\right) = 3 \\\\\\\\\n\\sqrt{y}\\left(2 - \\dfrac{5}{x+y}\\right) = 2\n\\end{cases}\n\\]\nFind the maximum value of \\(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... | math | {
"ground_truth": "1.73205080756888",
"style": "rule"
} | {
"index": 1664,
"need_tools_kwargs": true,
"question": "Let set $A=\\left\\{x \\mid x^{2}-[x]=2\\right\\}$ and set $B=\\{x \\mid x<2\\}$, where the symbol $[x]$ denotes the greatest integer less than or equal to $x$. Find $A \\cap B$.",
"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": "245",
"style": "rule"
} | {
"index": 1665,
"need_tools_kwargs": true,
"question": "A street has 50 houses on each side, for a total of 100 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses are 1, 5, 9, etc., and on the north side they are 3, 7, 11, etc. A sign painter paints house numbers on a house for $\\$1$ per digit. If he paints the appropriate house number once on each of these 100 houses, how much does he earn?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Laura Anne Ingraham",
"style": "rule"
} | {
"index": 1666,
"need_tools_kwargs": true,
"question": "Just In with Laura Ingraham is an American news program broadcast on the Fox News Channel weekdays at 5:00 p.m. Eastern Time, the show was hosted by which American conservative talk radio host, author and conservative political commentator?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1667,
"need_tools_kwargs": true,
"question": "Are the directors of films The Burrowers and Point Of No Return (1993 Film) 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": "\\frac{2}{3}+\\frac{4}{37}",
"style": "rule"
} | {
"index": 1668,
"need_tools_kwargs": true,
"question": "Find two positive irreducible fractions with denominators not exceeding 100, whose sum is equal to 86/111.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1669,
"need_tools_kwargs": true,
"question": "Which country the composer of song Satin Doll 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... | qa | {
"ground_truth": "Robert N. Charrette",
"style": "rule"
} | {
"index": 1670,
"need_tools_kwargs": true,
"question": "Name the creator of Aftermath! who was inducted in the Origins Hall of Fame in 2003.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{13}{16}",
"style": "rule"
} | {
"index": 1671,
"need_tools_kwargs": true,
"question": "Given an arithmetic sequence $\\{a_n\\}$ with a common difference $d \\neq 0$, if $a_1$, $a_3$, and $a_9$ form a geometric sequence, then $\\dfrac{a_1 + a_3 + a_9}{a_2 + a_4 + a_10}=$ ?",
"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... | qa | {
"ground_truth": "52",
"style": "rule"
} | {
"index": 1672,
"need_tools_kwargs": true,
"question": "How many wishes does the djinn give to Nandor in Season 4 of What We Do in the Shadows?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "8 August 2012",
"style": "rule"
} | {
"index": 1673,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film At A French Fireside?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "High Green",
"style": "rule"
} | {
"index": 1674,
"need_tools_kwargs": true,
"question": "The Hellcat Spangled Shalalala is a song by the English band formed in what suburb of Sheffield?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "January 17, 1931",
"style": "rule"
} | {
"index": 1675,
"need_tools_kwargs": true,
"question": "When was the American actor who appeared in The Bushido Blade 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": "(0,5)",
"style": "rule"
} | {
"index": 1676,
"need_tools_kwargs": true,
"question": "At what point does the line containing the points $(1, 7)$ and $(3, 11)$ intersect the $y$-axis? Express your answer as an ordered pair.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Corey Mitchell Hart",
"style": "rule"
} | {
"index": 1677,
"need_tools_kwargs": true,
"question": "Which Canadian singer was Young Man Running his fourth 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... | math | {
"ground_truth": "m\\leqslant 6",
"style": "rule"
} | {
"index": 1678,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=\\log _{a}(x-a)+1$, where $(a > 0$ and $a\\neq 1)$, it always passes through the fixed point $(3,1)$.\n(I) Find the value of the real number $a$;\n(II) Let the function $h(x)=a^{x}+1$, and the graph of the function $F(x)=[h(x)+2]^{2}$ is always above the graph of the function $G(x)=h(2x)+m+2$, find the range of values of the real number $m$.",
"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": "Castle Falkenstein",
"style": "rule"
} | {
"index": 1679,
"need_tools_kwargs": true,
"question": "What other game is comparable to Theatrix but uses playing cards as its randomiser?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "West Midlands",
"style": "rule"
} | {
"index": 1680,
"need_tools_kwargs": true,
"question": "Joseph Powell William was active in local government in a city From which borough ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "96",
"style": "rule"
} | {
"index": 1681,
"need_tools_kwargs": true,
"question": "The electronic clock shown can display time from 00:00:00 to 23:59:59. How many times in a day (24 hours) does the clock display a time that consists of the digits 1, 2, 3, 4, 5, and 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": "Independent Media Corporation",
"style": "rule"
} | {
"index": 1682,
"need_tools_kwargs": true,
"question": "n recent years Pakistan champions cricket league (PCCL) matches have been telecasted live through a channel that belongs to which corporation ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "38.118",
"style": "rule"
} | {
"index": 1683,
"need_tools_kwargs": true,
"question": "one hour after yolanda started walking from x to y , a distance of 80 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 8 miles per hour and bob â s was 9 miles per hour , how many miles had bob walked when they met ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Erik Tegmark",
"style": "rule"
} | {
"index": 1684,
"need_tools_kwargs": true,
"question": "The Centre for the Study of Existential Risk is the home of which Swedish-American cosmologist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Danielle Staub",
"style": "rule"
} | {
"index": 1685,
"need_tools_kwargs": true,
"question": "Famous Food awarded a partnership to which Real Housewives of New Jersey cast member?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Susan Luciani",
"style": "rule"
} | {
"index": 1686,
"need_tools_kwargs": true,
"question": "Who was the director of the British short film starring the actress who played Patsy Stone in the BBC sitcom \"Absolutely Fabulous\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1687,
"need_tools_kwargs": true,
"question": "Ruby was going to order pizza for dinner. Her son would only eat pepperoni pizza. Her daughter would only eat sausage. Ruby and her husband wanted black olive and mushroom pizza. To make life easy, Ruby decided to order an entire pizza for each of her children and she would split one with her husband. The pizza restaurant charged a certain amount per pizza and $1.00 per topping. She also needed to add a $5.00 tip. Including tip, the pizza order cost $39. How much does the pizza restaurant charge per pizza?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "13",
"style": "rule"
} | {
"index": 1688,
"need_tools_kwargs": true,
"question": "A store prices an item using dollars and cents notation. When a 4% sales tax is added, the result is exactly \\( n \\) dollars. Since \\( n \\) is an integer, no rounding is necessary. What is the smallest possible value of \\( n \\)?\n(A) 1 \n(B) 13 \n(C) 25 \n(D) 26 \n(E) 100\n\n(31st Annual American High School Mathematics Examination, 1980)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$115.15",
"style": "rule"
} | {
"index": 1689,
"need_tools_kwargs": true,
"question": "Mrs. Lopez and her family are going to the movie theatre. Adult tickets are $11. Children’s tickets (ages 3-12) are $8. Senior citizen’s tickets (ages 60+) are $9. Mrs. Lopez needs to buy movie tickets for her husband, herself, her parents (ages 72 and 75), her three children (ages 3, 10, 14), her two nephews (ages 6 and 17), her aunt (age 65), two friends of the family (ages 56 and 33), and her sister (age 40).\n\nIn addition, her husband has a 25% discount on his ticket, her parents have a combined 15% discount, her nephew who is 17 has a 10% student discount, her sister has a 30% member discount, and her aunt gets a buy-one-get-one-free offer on her ticket. How much money does she need to buy everyone’s tickets?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Z-Boys",
"style": "rule"
} | {
"index": 1690,
"need_tools_kwargs": true,
"question": "The Best: Make the Music Go Bang! includes liner notes by an American skateboard legend who is one of the original members of the Zephyr Competition Skateboarding Team, which is famously known as what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "f(x) = \\begin{cases}\n\\frac{2}{2 - x}, & 0 \\leq x < 2, \\\\\n0, & x \\geq 2.\n\\end{cases}",
"style": "rule"
} | {
"index": 1691,
"need_tools_kwargs": true,
"question": "Find all functions $f$ defined on the non-negative reals and taking non-negative real values such that: $f(2)=0,f(x)\\ne0$ for $0\\le x<2$, and $f(xf(y))f(y)=f(x+y)$ for all $x,y$.",
"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... | math | {
"ground_truth": "\\frac{1}{6}",
"style": "rule"
} | {
"index": 1692,
"need_tools_kwargs": true,
"question": "In the regular quadrangular pyramid \\(P-ABCD\\), \\(M\\) and \\(N\\) are the midpoints of \\(PA\\) and \\(PB\\) respectively. If the tangent of the dihedral angle between a side face and the base is \\(\\sqrt{2}\\), find the cosine of the angle between skew lines \\(DM\\) and \\(AN\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1693,
"need_tools_kwargs": true,
"question": "Are the directors of both films Father Steps Out (1941 Film) and Balipeetam 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": "\\dfrac{1}{3}",
"style": "rule"
} | {
"index": 1694,
"need_tools_kwargs": true,
"question": "A rope with a length of $3$ meters is selected and cut at any position. The probability that both resulting segments are not less than $1$ meter in length 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": "Jennifer Saunders",
"style": "rule"
} | {
"index": 1695,
"need_tools_kwargs": true,
"question": "Which core member of The Comic Strip was born on 6 July 1958 ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1931",
"style": "rule"
} | {
"index": 1696,
"need_tools_kwargs": true,
"question": "In what year was the CEO of \"Love Worth Finding\" 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": "0.3",
"style": "rule"
} | {
"index": 1697,
"need_tools_kwargs": true,
"question": "Given a sample data with a volume of 20, the groups have been created with the following class intervals and frequencies: $(10, 20]$, 2; $(20, 30]$, 3; $(30, 40]$, 4; $(40, 50]$, 5; $(50, 60]$, 4; $(60, 70]$, 2. Calculate the frequency of the sample in the interval $(50, 70]$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tacoma, Washington",
"style": "rule"
} | {
"index": 1698,
"need_tools_kwargs": true,
"question": "Where was the director of film Night Raiders 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": "61^\\circ",
"style": "rule"
} | {
"index": 1699,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, altitudes $AD$, $BE$, and $CF$ intersect at the orthocenter $H$. If $\\angle ABC = 49^\\circ$ and $\\angle ACB = 12^\\circ$, then find the measure of $\\angle BHC$, in degrees.",
"split": "train"
} | null |
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