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": "\\left(0,\\frac{9\\sqrt{3}}{4}\\right]",
"style": "rule"
} | {
"index": 2300,
"need_tools_kwargs": true,
"question": "In triangle $\\triangle ABC$, the sides opposite angles $A$, $B$, and $C$ are denoted as $a$, $b$, and $c$ respectively. Given that $asinB=\\sqrt{3}bcosA$ and $a=3$, find the range of possible values for the area of $\\triangle ABC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "c_{12}",
"style": "rule"
} | {
"index": 2301,
"need_tools_kwargs": true,
"question": "How many 12-digit positive integers composed only of the digits 1, 2, or 3 have exactly two consecutive 1'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... | math | {
"ground_truth": "\\frac{5}{8}",
"style": "rule"
} | {
"index": 2302,
"need_tools_kwargs": true,
"question": "Find the area bounded by the graph of $ y\\equal{}\\sqrt[3]{x\\plus{}\\sqrt{x^2\\plus{}1}}\\plus{}\\sqrt[3]{x\\minus{}\\sqrt{x^2\\plus{}1}}$ , the line $ x\\minus{}y\\minus{}1\\equal{}0$ and the $ x$ axis.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Pink Panther 2",
"style": "rule"
} | {
"index": 2303,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Ruby & Quentin or The Pink Panther 2?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2304,
"need_tools_kwargs": true,
"question": "Were Medea Amiranashvili and Andrzej Niemirowicz 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": "yes",
"style": "rule"
} | {
"index": 2305,
"need_tools_kwargs": true,
"question": "Do the bands Godsmack and The Bobby Fuller Four, originate 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": "106",
"style": "rule"
} | {
"index": 2306,
"need_tools_kwargs": true,
"question": "A gardener wants to plant three maple trees, four oak trees, and five birch trees in a row. He randomly determines the arrangement of these trees, and each possible arrangement is equally likely. Let the probability that no two birch trees are adjacent be represented by \\(\\frac{m}{n}\\) in simplest form. 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": "154",
"style": "rule"
} | {
"index": 2307,
"need_tools_kwargs": true,
"question": "The diagram shows twenty congruent circles arranged in three rows and enclosed in a rectangle. The circles are tangent to one another and to the sides of the rectangle as shown in the diagram. The ratio of the longer dimension of the rectangle to the shorter dimension can be written as $\\dfrac{1}{2}(\\sqrt{p}-q)$ where $p$ and $q$ are positive integers. Find $p+q$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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",
"style": "rule"
} | {
"index": 2308,
"need_tools_kwargs": true,
"question": "Say that an ordered triple $(a, b, c)$ is [i]pleasing[/i] if\n\n(a) $a$, $b$, and $c$ are in the set $\\{ 1, 2, \\dots, 17 \\}$, and\n\n(b) both $b - a$ and $c - b$ are greater than $3$, and at least one of them is equal to $4$.\n\nHow many pleasing triples are there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2309,
"need_tools_kwargs": true,
"question": "Let the line \\( L: lx + my + n = 0 \\) intersect the parabola \\( y^2 = 4ax \\) at points \\( P \\) and \\( Q \\). \\( F \\) is the focus of the parabola. The line segments \\( PF \\) and \\( QF \\) intersect the parabola at points \\( R \\) and \\( S \\). Determine the equation of the line \\( RS \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{3}{2}",
"style": "rule"
} | {
"index": 2310,
"need_tools_kwargs": true,
"question": "If \\( 0 < x < \\frac{\\pi}{2} \\) and \\( \\frac{\\sin^{4} x}{9} + \\frac{\\cos^{4} x}{4} = \\frac{1}{13} \\), then the value of \\( \\tan x \\) is:\n(A) \\( \\frac{1}{2} \\)\n(B) \\( \\frac{2}{3} \\)\n(C) 1\n(D) \\( \\frac{3}{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": "336",
"style": "rule"
} | {
"index": 2311,
"need_tools_kwargs": true,
"question": "There are 7 seats in a row, and 4 people are to be seated such that exactly two empty seats are adjacent, and person A and person B cannot sit next to each other. How many different seating arrangements are there? (Answer with a 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": "no",
"style": "rule"
} | {
"index": 2312,
"need_tools_kwargs": true,
"question": "Did Floyd H. Roberts and Shawkat Chowdhury 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": "1010100",
"style": "rule"
} | {
"index": 2313,
"need_tools_kwargs": true,
"question": "What is the base $2$ representation of $84_{10}$?",
"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": "Japanese Empire",
"style": "rule"
} | {
"index": 2314,
"need_tools_kwargs": true,
"question": "Persona Non Grata depicted the life of a diplomat who served in Lithuania for what 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": "C. 105",
"style": "rule"
} | {
"index": 2315,
"need_tools_kwargs": true,
"question": "In a trapezoid, the line segment joining the midpoints of the diagonals has length $5$. If the longer base has a length of $115$, calculate the shorter base.\nA. 100\nB. 102\nC. 105\nD. 107\nE. 109",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{512}",
"style": "rule"
} | {
"index": 2316,
"need_tools_kwargs": true,
"question": "A $3 \\times 3$ square is divided into $9$ unit squares, each initially painted either white or black, with each color having an equal likelihood of $\\frac{1}{2}$. After a $90^\\circ$ clockwise rotation about its center, every black square that lands in a position formerly occupied by a white square is repainted white. Determine the probability that the entire grid is white after the rotation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-0.618, 1.618)",
"style": "rule"
} | {
"index": 2317,
"need_tools_kwargs": true,
"question": "Solve the inequality\n\\[\\dfrac{x+1}{x+2}>\\dfrac{3x+4}{2x+9}.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2318,
"need_tools_kwargs": true,
"question": "若既约分数 $\\frac{p}{q}\\left(p, q \\in \\mathbf{N}^{*}\\right)$ 化为小数是 $0.18 \\cdots$ ，则当 $q$ 最小时， $p=$ _______",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2319,
"need_tools_kwargs": true,
"question": "Do director of film Tim'S Vermeer and director of film Four Steps In The Clouds 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": "10 \\pi",
"style": "rule"
} | {
"index": 2320,
"need_tools_kwargs": true,
"question": "The graph of\n\\[r = -2 \\cos \\theta + 6 \\sin \\theta\\]is a circle. Find the area of the circle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{5}{9}",
"style": "rule"
} | {
"index": 2321,
"need_tools_kwargs": true,
"question": "Given: $\\cos\\alpha + \\sin\\alpha = \\frac{2}{3}$, then the value of $\\frac{\\sqrt{2}\\sin(2\\alpha - \\frac{\\pi}{4}) + 1}{1 + \\tan\\alpha}$ 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": "4026",
"style": "rule"
} | {
"index": 2322,
"need_tools_kwargs": true,
"question": "If $a_1, a_2, \\ldots, a_{2013} \\in [-2, 2]$ and $a_1 + a_2 + \\cdots + a_{2013} = 0$, find the maximum of $a_1^3 + a_2^3 + \\cdots + a_{2013}^3$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2323,
"need_tools_kwargs": true,
"question": "Are both airports, Orito Airport and San Ramón Airport, 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... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 2324,
"need_tools_kwargs": true,
"question": "Given the polynomial $f(x) = 2x^7 + x^6 + x^4 + x^2 + 1$, calculate the value of $V_2$ using Horner's method when $x=2$.",
"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": "12",
"style": "rule"
} | {
"index": 2325,
"need_tools_kwargs": true,
"question": "Positive real numbers \\(x, y\\), and \\(z\\) satisfy the equations\n\\(x^2 + y^2 = 9\\)\n\\(y^2 +\\sqrt2yz + z^2 = 16\\)\n\\(z^2 +\\sqrt2zx + x^2 = 25\\).\nCompute \\(\\sqrt2xy + yz + zx\\). The original answer is in the form of \\(k\\sqrt{2}\\). Please provide the value of \\(k\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chanhassen, Minnesota",
"style": "rule"
} | {
"index": 2326,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Rave Un2 The Year 2000?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{244}{365}",
"style": "rule"
} | {
"index": 2327,
"need_tools_kwargs": true,
"question": "Maxim will go to first grade on September 1, 2014, at the age of 6, and this day will not be his birthday. What is the probability that he was born in 2008?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2328,
"need_tools_kwargs": true,
"question": "Determine the number of functions that satisfy the condition $f:\\mathbb{R}\\rightarrow\\mathbb{R}$\n$$\nf\\left(y^{2}+2 x f(y)+f(x)^{2}\\right)=(y+f(x))(x+f(y))\n$$\nFor all real numbers $x$ and $y$.",
"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": "Canadian",
"style": "rule"
} | {
"index": 2329,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Lears?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2330,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Finding North?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "People v. Turner",
"style": "rule"
} | {
"index": 2331,
"need_tools_kwargs": true,
"question": "Which criminal case filed in Santa Clara County Superior Court did judge Aaron Persky rendered the verdict in",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Grace Foley",
"style": "rule"
} | {
"index": 2332,
"need_tools_kwargs": true,
"question": "What role did the actress, who starred in the British miniseries Goodbye Cruel World, play in the BBC drama \"Waking the Dead\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "24 January 2002",
"style": "rule"
} | {
"index": 2333,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Prachanda Putanigalu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2334,
"need_tools_kwargs": true,
"question": "In 2021, a first-class postage stamp cost 85 pence and a second-class postage stamp cost 66 pence. If you want to spend an exact number of pounds and buy at least one of each type of stamp, determine the smallest total number of stamps that should be purchased.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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^\\circ",
"style": "rule"
} | {
"index": 2335,
"need_tools_kwargs": true,
"question": "All sides of the convex hexagon $ABCDEF$ are of equal length, and $\\angle A = \\angle B = \\angle C = 90^\\circ$. What is the degree measure of $\\angle F$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2336,
"need_tools_kwargs": true,
"question": "Pedrinho wrote all the integers between 100 and 999 where the sum of the digits is 12. For example, the numbers 129 and 750 are among the written numbers.\n\na) How many written numbers have only two identical digits?\n\nb) How many written numbers consist only of odd digits?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{2}, 2 \\right]",
"style": "rule"
} | {
"index": 2337,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = 2^{x-b}$ ($2 \\leqslant x \\leqslant 4$, $b$ is a constant), whose graph passes through the point $(3,1)$, determine the range of $f(x)$.\n\nA: $\\left[ 4,16 \\right]$\nB: $\\left[ 2,10 \\right]$\nC: $\\left[ \\frac{1}{2},2 \\right]$\nD: $\\left[ \\frac{1}{2},+\\infty \\right)$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "432",
"style": "rule"
} | {
"index": 2338,
"need_tools_kwargs": true,
"question": "In ancient China, Confucianism required students to master six basic skills (Six Arts): rites, music, archery, charioteering, calligraphy, and mathematics. A school's traditional Chinese culture society held a \"Six Arts\" lecture activity on weekends, with six sessions in a day, one for each art. Calculate the total number of different scheduling methods between \"archery\" and \"mathematics\" with at most one art in between.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Marvel Cinematic Universe",
"style": "rule"
} | {
"index": 2339,
"need_tools_kwargs": true,
"question": "Ryan Sands was cast as Geoffrey Wilder in a Hulu adaptation set in what universe?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Kai",
"style": "rule"
} | {
"index": 2340,
"need_tools_kwargs": true,
"question": "In the Snow Queen, what is the name of Chelsea Hobbs' rival's friend?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "106",
"style": "rule"
} | {
"index": 2341,
"need_tools_kwargs": true,
"question": "When the last three digits of \\(1978^n\\) and \\(1978^m\\) are equal, find the positive integers \\(m\\) and \\(n\\) (where \\(n > m \\geq 1\\)) such that the sum \\(m+n\\) is minimized.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "80\\%",
"style": "rule"
} | {
"index": 2342,
"need_tools_kwargs": true,
"question": "What quantities of water should be taken out from five containers: one with 72 liters of 30% acidic liquid, one with 85 liters of 40% acidic liquid, one with 65 liters of 25% acidic liquid, one with 90 liters of 50% acidic liquid, and one with 55 liters of 35% acidic liquid, in order to mix them and create 80% acidic liquid?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{30}{7}",
"style": "rule"
} | {
"index": 2343,
"need_tools_kwargs": true,
"question": "In an acute triangle, one altitude divides a side into segments of lengths 7 units and 10 units, and another altitude divides another side into lengths 3 units and $y$ units. Find the value of $y$.",
"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": "0.999503722084455",
"style": "rule"
} | {
"index": 2344,
"need_tools_kwargs": true,
"question": "Let \\(\\lfloor x \\rfloor\\) denote the largest integer less than or equal to \\(x\\), and let \\(\\{ x \\}\\) denote the fractional part of \\(x\\). For example, \\(\\lfloor \\pi \\rfloor = 3\\), and \\(\\{\\pi \\} = 0.14159 \\ldots\\), while \\(\\lfloor 100 \\rfloor = 100\\) and \\(\\{100 \\} = 0\\). If \\(n\\) is the largest solution to the equation \\(\\frac{\\lfloor n \\rfloor}{n} = \\frac{2015}{2016}\\), compute \\(\\{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": "1717",
"style": "rule"
} | {
"index": 2345,
"need_tools_kwargs": true,
"question": "If Greg rolls four fair six-sided dice, what is the probability that he rolls more 1's than 6's?The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "T_n = 2^n - 1 + \\frac{n^2 + n}{2}",
"style": "rule"
} | {
"index": 2346,
"need_tools_kwargs": true,
"question": "Given that $\\{a_n\\}$ is an increasing geometric sequence, $a_1 \\cdot a_4 = 8$, $a_2 + a_3 = 6$,\n(Ⅰ) Find the general formula for the sequence $\\{a_n\\}$;\n(Ⅱ) Let $b_n = a_n + \\log_2 a_{n+1}$, find the sum of the first $n$ terms of the sequence $\\{b_n\\}$, denoted as $T_n$.",
"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": "90^\\circ",
"style": "rule"
} | {
"index": 2347,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, \\( O \\) is the circumcenter of $\\triangle ABC$, and it satisfies \\(\\overrightarrow{AO} \\cdot \\overrightarrow{AB} + \\overrightarrow{BO} \\cdot \\overrightarrow{BC} = \\overrightarrow{CO} \\cdot \\overrightarrow{CA}\\). Determine the measure of \\(\\angle 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": "Stillwater County, Montana",
"style": "rule"
} | {
"index": 2348,
"need_tools_kwargs": true,
"question": "Which Montana county has a county seat with a population of 1,893 at the 2010 census?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2349,
"need_tools_kwargs": true,
"question": "Are Palm Island, Queensland and Grantham Island 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... | math | {
"ground_truth": "2, 14",
"style": "rule"
} | {
"index": 2350,
"need_tools_kwargs": true,
"question": "In the relationship $y=3x-1$, when $x$ changes from $1$ to $5$, $y$ changes from ______ 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": "15",
"style": "rule"
} | {
"index": 2351,
"need_tools_kwargs": true,
"question": "How many ordered triples $(x, y, z)$ of positive integers satisfy the following conditions?\n- $\\text{lcm}(x, y) = 72$\n- $\\text{lcm}(x, z) = 600$\n- $\\text{lcm}(y, z) = 900$\n\nFind the number of such ordered triples.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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\\log2+3\\log3",
"style": "rule"
} | {
"index": 2352,
"need_tools_kwargs": true,
"question": "Evaluate the logarithm of 216. Begin by expressing 216 in terms of its prime factors and use logarithmic properties to simplify your answer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "4.7 million",
"style": "rule"
} | {
"index": 2353,
"need_tools_kwargs": true,
"question": "How many downloads did the lead single from Over My Head get as of January 2015?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Deep Pal",
"style": "rule"
} | {
"index": 2354,
"need_tools_kwargs": true,
"question": "Who is the cinematographer for the 1998 Indian romantic thriller film in the backdrop of insurgency in Northeast India, written and directed by Mani Ratnam, and produced by Mani Ratnam, Ram Gopal Varma, and Shekhar Kapur?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "79",
"style": "rule"
} | {
"index": 2355,
"need_tools_kwargs": true,
"question": "Andrea is three times as old as Jim was when Jim was twice as old as he was when the sum of their ages was $47$. If Andrea is $29$ years older than Jim, what is the sum of their ages now?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2 \\sqrt{3} - 3",
"style": "rule"
} | {
"index": 2356,
"need_tools_kwargs": true,
"question": "Three circles with radii \\(\\frac{1}{2}\\), \\(\\frac{1}{2}\\), and \\(\\sqrt{\\frac{13-6 \\sqrt{3}}{13}}\\) are positioned such that the triangle formed by the centers of these circles is equilateral with a side length of \\(\\frac{\\sqrt{3}}{2}\\). Find the radius of the circumcircle around the triangle, each vertex of which is the intersection point of two of these circles, and is farther from the center of the third circle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Los Angeles",
"style": "rule"
} | {
"index": 2357,
"need_tools_kwargs": true,
"question": "Where did the director of film The Devil'S Saddle 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": "4",
"style": "rule"
} | {
"index": 2358,
"need_tools_kwargs": true,
"question": "An ant begins its path at point \\( A \\) and can only travel right or down along specified line segments. Determine the total number of different paths the ant can take from point \\( A \\) to point \\( C \\) while passing through point \\( 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": "2001",
"style": "rule"
} | {
"index": 2359,
"need_tools_kwargs": true,
"question": "Several positive integers are given, not necessarily all different. Their sum is 2003. Suppose that \\( n_1 \\) of the given numbers are equal to 1, \\( n_2 \\) of them are equal to 2, \\ldots, \\( n_{2003} \\) of them are equal to 2003. Find the largest possible value of\n\\[ n_2 + 2n_3 + 3n_4 + \\cdots + 2002n_{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... | qa | {
"ground_truth": "8 April 1942",
"style": "rule"
} | {
"index": 2360,
"need_tools_kwargs": true,
"question": "What is the birthdate of the man that is being succeeded by Stuart Chambers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{5}",
"style": "rule"
} | {
"index": 2361,
"need_tools_kwargs": true,
"question": "Solve the equation:\n\n\\[\n\\left\\lfloor \\frac{5+6x}{8} \\right\\rfloor = \\frac{15x-7}{5}\n\\]\n\nwhere the symbol \\(\\lfloor a \\rfloor\\) denotes the floor (or integer) part of the number \\(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... | math | {
"ground_truth": "80",
"style": "rule"
} | {
"index": 2362,
"need_tools_kwargs": true,
"question": "Let \\( p, q, r \\) be complex numbers such that:\n\\[\npq + 5q = -20, \\\\\nqr + 5r = -20, \\\\\nrp + 5p = -20.\n\\]\nDetermine all possible values of \\( pqr \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sholpan Kozhakhmetova",
"style": "rule"
} | {
"index": 2363,
"need_tools_kwargs": true,
"question": "Who was born later, William Patterson (Alberta Politician) or Sholpan Kozhakhmetova?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Konami",
"style": "rule"
} | {
"index": 2364,
"need_tools_kwargs": true,
"question": "What company released a game in 2006 which included a real life mission where six armed men stormed the Iranian embassy in South Kensington, London in 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": "245 \\sqrt{3}",
"style": "rule"
} | {
"index": 2365,
"need_tools_kwargs": true,
"question": "A triangle has altitudes of lengths 15, 21, and 35. Find its area.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "April 30, 1941",
"style": "rule"
} | {
"index": 2366,
"need_tools_kwargs": true,
"question": "When did the director of film The Spitfire (1914 Film) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "210",
"style": "rule"
} | {
"index": 2367,
"need_tools_kwargs": true,
"question": "At a gathering of 35 people, there are 25 people who all know each other, 5 people who know no one, and 5 people who each know exactly 18 people from the first group. People who know each other hug, while those who do not know each other shake hands. Calculate the total number of handshakes that occur at the gathering.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Orange County, California",
"style": "rule"
} | {
"index": 2368,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film If I Were Rich?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Eureka County, Nevada, United States",
"style": "rule"
} | {
"index": 2369,
"need_tools_kwargs": true,
"question": "Where was Mary Hill Fulstone 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": "100 + 75\\pi",
"style": "rule"
} | {
"index": 2370,
"need_tools_kwargs": true,
"question": "A square has sides of length 10, and a circle centered at one of its vertices has radius 10. What is the area of the union of the regions enclosed by the square and the circle? Express your answer in terms of $\\pi$.",
"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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2371,
"need_tools_kwargs": true,
"question": "Are the directors of both films How I Discovered America and Any Wife 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{3}{2}",
"style": "rule"
} | {
"index": 2372,
"need_tools_kwargs": true,
"question": "Let \\( K, L, \\) and \\( M \\) be the midpoints of the edges \\( AD \\), \\( A_1B_1 \\), and \\( CC_1 \\) respectively of a rectangular parallelepiped \\( ABCDA_1B_1C_1D_1 \\), where \\( AB = a \\), \\( AA_1 = b \\), and \\( AD = c \\). Calculate the ratio of the sum of the squares of the sides of triangle \\( KLM \\) to the square of the diagonal of the parallelepiped.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1942",
"style": "rule"
} | {
"index": 2373,
"need_tools_kwargs": true,
"question": "What year was the Argentine singer and actor who both directed and starred in El Tio Disparate born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Highway 1",
"style": "rule"
} | {
"index": 2374,
"need_tools_kwargs": true,
"question": "Ghaznī, also historically known as Ghaznīn, or Ghazna, is a city in Afghanistan with a population of nearly 150,000 people, it is linked by which 2,200 kilometre two-lane road network circulating inside Afghanistan, connecting the following major cities (clockwise): Kabul, Maidan Shar, Ghazni, Kandahar, Delaram, Herat, Sheberghan, Mazari Sharif, and Puli Khumri?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2375,
"need_tools_kwargs": true,
"question": "Did Jan Frode Nornes and Robert C. Marshall have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{4}",
"style": "rule"
} | {
"index": 2376,
"need_tools_kwargs": true,
"question": "Regular octagon $ABCDEFGH$ is divided into eight smaller equilateral triangles, such as $\\triangle ABJ$, where $J$ is the center of the octagon. By connecting every second vertex starting from $A$, we obtain a larger equilateral triangle $\\triangle ACE$. Compute the ratio of the area of $\\triangle ABJ$ to the area of $\\triangle ACE$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{11}{16}",
"style": "rule"
} | {
"index": 2377,
"need_tools_kwargs": true,
"question": "Two chess players, A and B, are in the midst of a match. Player A needs to win 2 more games to be the final winner, while player B needs to win 3 more games. If each player has a probability of $\\frac{1}{2}$ to win any given game, then calculate the probability of player A becoming the final winner.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mortal Engines Quartet",
"style": "rule"
} | {
"index": 2378,
"need_tools_kwargs": true,
"question": "What tetralogy was written by Philip Reeve that is a sequel of a series about a woman named Fever Crumb?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Alfred Hitchcock",
"style": "rule"
} | {
"index": 2379,
"need_tools_kwargs": true,
"question": "Who directed the film that inspired Madonna when writing The Look of Love?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{3}, \\frac{1}{3}]",
"style": "rule"
} | {
"index": 2380,
"need_tools_kwargs": true,
"question": "The function $f(x) = x - \\frac{1}{3}\\sin(2x) + a\\sin(x)$ is monotonically increasing on $\\mathbb{R}$. Find the range of values for $a$.",
"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... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 2381,
"need_tools_kwargs": true,
"question": "For how many integers $k$ does the following system of equations have a solution other than $a=b=c=0$ in the set of real numbers?\n\\[\n\\begin{cases}\n a^2 + b^2 = kc(a+b), \\\\\n b^2 + c^2 = ka(b+c), \\\\\n c^2 + a^2 = kb(c+a).\n\\end{cases}\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": "Penthouse",
"style": "rule"
} | {
"index": 2382,
"need_tools_kwargs": true,
"question": "In which magazine was the short story, on which the film Disciples of the Crow is loosely based, first published ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2383,
"need_tools_kwargs": true,
"question": "Were both Peter O. Hansen and Fred Goodwill, born in the same place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "27",
"style": "rule"
} | {
"index": 2384,
"need_tools_kwargs": true,
"question": "From a \\(6 \\times 6\\) square grid, gray triangles were cut out. What is the area of the remaining shape? The length of each side of the cells is 1 cm. Provide your answer in square centimeters.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "6032",
"style": "rule"
} | {
"index": 2385,
"need_tools_kwargs": true,
"question": "一个凸 2011 边形 M 内部有 2011 个点，这 2011 个点和 M 的顶点中不存在三点共线。一种将所有点染为两种颜色之一的方式称为好的，如果可以在某些点之间连线段，使得：(1) 每条线段的两个端点同色；(2) 任意两条线段在 M 内不相交；(3) 任意同色的两个点之间存在一条由所连线段组成的通路。求所有好的染色方式的数目。原始答案的形式为(k \\times m + 2) \\times 2^n，请给出k + m + n的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 2386,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be a triangle with $AB = 13$, $BC = 14$, and $CA = 15$. The altitude from $A$ intersects $BC$ at $D$.\n\nLet $\\omega_1$ and $\\omega_2$ be the incircles of $\\triangle ABD$ and $\\triangle ACD$, respectively. The common external tangent of $\\omega_1$ and $\\omega_2$ (other than $BC$) intersects $AD$ at $E$. Compute 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... | math | {
"ground_truth": "-7",
"style": "rule"
} | {
"index": 2387,
"need_tools_kwargs": true,
"question": "Let $a,$ $b,$ $c,$ $d,$ and $e$ be the distinct roots of the equation $x^5 + 7x^4 - 2 = 0.$ Find\n\\begin{align*}\n&\\frac{a^5}{(a - b)(a - c)(a - d)(a - e)} + \\frac{b^5}{(b - a)(b - c)(b - d)(b - e)} \\\\\n&\\quad + \\frac{c^5}{(c - a)(c - b)(c - d)(c - e)} + \\frac{d^5}{(d - a)(d - b)(d - c)(d - e)} \\\\\n&\\quad + \\frac{e^5}{(e - a)(e - b)(e - c)(e - d)}.\n\\end{align*}",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "588",
"style": "rule"
} | {
"index": 2388,
"need_tools_kwargs": true,
"question": "A mother purchases 5 blue plates, 2 red plates, 2 green plates, and 1 orange plate. How many ways are there for her to arrange these plates for dinner around her circular table if she doesn't want the 2 green plates to be adjacent?\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": "324",
"style": "rule"
} | {
"index": 2389,
"need_tools_kwargs": true,
"question": "Consider a positive integer $N$ an 9-27 triple if the digits of the base-$9$ representation of $N$ create a base-$10$ number that is three times $N$. Find the largest 9-27 triple.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "6049",
"style": "rule"
} | {
"index": 2390,
"need_tools_kwargs": true,
"question": "Let $ABC$ be the triangle with vertices located at the center of masses of Vincent Huang's house, Tristan Shin's house, and Edward Wan's house; here, assume the three are not collinear. Let $N = 2017$ , and define the $A$ -*ntipodes* to be the points $A_1,\\dots, A_N$ to be the points on segment $BC$ such that $BA_1 = A_1A_2 = \\cdots = A_{N-1}A_N = A_NC$ , and similarly define the $B$ , $C$ -ntipodes. A line $\\ell_A$ through $A$ is called a *qevian* if it passes through an $A$ -ntipode, and similarly we define qevians through $B$ and $C$ . Compute the number of ordered triples $(\\ell_A, \\ell_B, \\ell_C)$ of concurrent qevians through $A$ , $B$ , $C$ , respectively.\n\n*Proposed by Brandon Wang*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "189",
"style": "rule"
} | {
"index": 2391,
"need_tools_kwargs": true,
"question": "Initially, a natural number was displayed on the calculator screen. Each time, Olya added to the current number $n$ on the calculator screen a natural number by which $n$ was not divisible. For example, if the number 10 was displayed on the screen, Olya could add 7 and get 17.\n\nOlya repeated this operation five times, and the number 200 appeared on the screen. What is the largest possible initial number for which this could have happened?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2392,
"need_tools_kwargs": true,
"question": "Solve the inequality \\(x^{2} \\leq 2([\\sqrt[3]{x}+0.5]+[\\sqrt[3]{x}])\\), where \\([x]\\) is the integer part of \\(x\\), i.e., \\([x]\\) is the integer for which the inequality \\([x] \\leq x < [x] + 1\\) holds. Provide the difference between the largest and smallest solutions of the inequality.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Mooch",
"style": "rule"
} | {
"index": 2393,
"need_tools_kwargs": true,
"question": "SkyBridge Capital is a firm run by a financier who is known by what nickname?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "breed of dog",
"style": "rule"
} | {
"index": 2394,
"need_tools_kwargs": true,
"question": "Griffon Bleu de Gascogne and Maltese are both 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": "9025",
"style": "rule"
} | {
"index": 2395,
"need_tools_kwargs": true,
"question": "Let $a_n$ be the last digit of the sum of the digits of the number formed by repeating the block $2005$ exactly $n$ times. Calculate $a_1 + a_2 + \\dots + a_{2005}$.",
"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": "Irving, Texas.",
"style": "rule"
} | {
"index": 2396,
"need_tools_kwargs": true,
"question": "Where is the headquarters of the company that produced the 'Time Machine' series of science fiction stories?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Asalto A La Ciudad",
"style": "rule"
} | {
"index": 2397,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Asalto A La Ciudad or Mr. Fifteen Balls?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Earthsea",
"style": "rule"
} | {
"index": 2398,
"need_tools_kwargs": true,
"question": "What is the name of the fantasy books by American writer Ursula K. Le Guin featuring the fictional people, The Kargs, called?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Harry B. Lachman",
"style": "rule"
} | {
"index": 2399,
"need_tools_kwargs": true,
"question": "Which film director is older, Pavel Ruminov or Harry Lachman?",
"split": "train"
} | null |
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