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": "73^\\circ",
"style": "rule"
} | {
"index": 5600,
"need_tools_kwargs": true,
"question": "In triangle $XYZ$, altitudes $XP$, $YQ$, and $ZR$ intersect at the orthocenter $H$. If $\\angle XYZ = 58^\\circ$ and $\\angle XZY = 15^\\circ$, find the measure of $\\angle YHZ$, in degrees.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "International Red Cross",
"style": "rule"
} | {
"index": 5601,
"need_tools_kwargs": true,
"question": "During an episode of mass murder and mass rape, what institution attempted to coordinate humanitarian aid effort?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 24, 1944",
"style": "rule"
} | {
"index": 5602,
"need_tools_kwargs": true,
"question": "When is the director of film Study Of A River 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Jackson County",
"style": "rule"
} | {
"index": 5603,
"need_tools_kwargs": true,
"question": "The 2014–15 Missouri Comets played thier home games in what county?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Nice",
"style": "rule"
} | {
"index": 5604,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Monocle Laughs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\alpha = -35 + 9i",
"style": "rule"
} | {
"index": 5605,
"need_tools_kwargs": true,
"question": "Let $\\alpha$ and $\\beta$ be complex numbers such that $\\alpha + \\beta$ and $2i(\\alpha - 3\\beta)$ are both positive real numbers. If $\\beta = 4 + 3i,$ compute $\\alpha$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5606,
"need_tools_kwargs": true,
"question": "Did Davy Fogel and Maikel Nieves share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "New Order",
"style": "rule"
} | {
"index": 5607,
"need_tools_kwargs": true,
"question": "What British singing group released a single in 1984 based on a 1974 film directed by a five-time nominee of the Academy Award for Best Director?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "A = 8n^2 + 4n",
"style": "rule"
} | {
"index": 5608,
"need_tools_kwargs": true,
"question": "Given that the sequence $\\{a\\_n\\}$ is an arithmetic sequence with non-zero terms, $S\\_n$ is the sum of its first $n$ terms, and $a\\_n = \\sqrt{S\\_{2n-1}}\\ (n \\in \\mathbb{N}^*)$, $A = -a\\_1a\\_2 + a\\_2a\\_3 - a\\_3a\\_4 + a\\_4a\\_5 - \\dots + a\\_{2n}a\\_{2n+1}$, find $A$.",
"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": "1005",
"style": "rule"
} | {
"index": 5609,
"need_tools_kwargs": true,
"question": "$ f\\left( x \\right) \\equal{} \\frac {x^5}{5x^4 \\minus{} 10x^3 \\plus{} 10x^2 \\minus{} 5x \\plus{} 1}$ . $ \\sum_{i \\equal{} 1}^{2009} f\\left( \\frac {i}{2009} \\right) \\equal{} ?$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "DHL Worldwide Express",
"style": "rule"
} | {
"index": 5610,
"need_tools_kwargs": true,
"question": "Which shipping company was co-founded by a man whose biography was written by James Scurlock?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5611,
"need_tools_kwargs": true,
"question": "Does the TechCrunch article suggest that social media interactions involving monetary incentives are becoming a standard practice, while The Independent - Life and Style article questions the historical accuracy of events portrayed in 'The Crown (TV series)'?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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: 50",
"style": "rule"
} | {
"index": 5612,
"need_tools_kwargs": true,
"question": "Given a set of data: 10, 30, 50, 50, 70. The median is\nA: 30\nB: 45\nC: 50\nD: 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... | math | {
"ground_truth": "\\frac{1}{10}",
"style": "rule"
} | {
"index": 5613,
"need_tools_kwargs": true,
"question": "The numbers $1,2,3,4,5,6$ are randomly arranged in a row and denoted as $a, b, c, d, e, f$. What is the probability that $abc + \\operatorname{def}$ is odd?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Charlie Sheen",
"style": "rule"
} | {
"index": 5614,
"need_tools_kwargs": true,
"question": "Who plays a stockbroker in a film that Claire Simpson was an editor for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.5832",
"style": "rule"
} | {
"index": 5615,
"need_tools_kwargs": true,
"question": "In a certain school, there are 5000 students. Each student is assigned an ID number from 0001 to 5000. No two students can have the same ID number. If a student is selected uniformly at random, what is the probability that the ID number of the student does not contain any 2s among its 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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 5616,
"need_tools_kwargs": true,
"question": "Do director of film Hell's Crossroads and director of film Crystal Fairy & the Magical Cactus 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": "1.75",
"style": "rule"
} | {
"index": 5617,
"need_tools_kwargs": true,
"question": "In an $m \\times n$ grid, each square is either filled or not filled. For each square, its *value* is defined as $0$ if it is filled and is defined as the number of neighbouring filled cells if it is not filled. Here, two squares are neighbouring if they share a common vertex or side. Let $f(m,n)$ be the largest total value of squares in the grid. Determine the minimal real constant $C$ such that $$ \\frac{f(m,n)}{mn} \\le C $$ holds for any positive integers $m,n$ *CSJL*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15912121",
"style": "rule"
} | {
"index": 5618,
"need_tools_kwargs": true,
"question": "The first term of a sequence is 1. Each subsequent term is 4 times the square root of the sum of all preceding terms plus 4.\n\nWhat is the sum of the first 1995 terms of the sequence?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 5619,
"need_tools_kwargs": true,
"question": "Were both David González Giraldo and Camilo Cándido, 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": "\\$79.19",
"style": "rule"
} | {
"index": 5620,
"need_tools_kwargs": true,
"question": "During vacation, Jimmy visits different beaches on an island, so he changes his place of lodging from time to time. The first 3 days he stays in a hostel, where he is charged $15 per night. However, there is a 10% service tax that is added to the nightly charge. The fourth and fifth days he stays in a cabin where he shares expenses with 2 of his friends, and they are charged $45 total per night, with a 7% government tax charged on top of the base cost. On the third day, Jimmy gets a discount code from a fellow traveler, which gives him a 15% discount on the cabin for the 5th day. How much did Jimmy spend on lodging during his vacation, including taxes and considering the discount he received?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "A: \\sqrt{3}x \\pm y = 0",
"style": "rule"
} | {
"index": 5621,
"need_tools_kwargs": true,
"question": "Given a hyperbola $\\frac{x^2}{m} - \\frac{y^2}{n} = 1$ (where $mn \\neq 0$) with an eccentricity of 2, and one of its foci is exactly the focus of the parabola $y^2 = 4x$, what is the equation of the asymptotes of this hyperbola?\n\nA: $\\sqrt{3}x \\pm y = 0$\nB: $x \\pm \\sqrt{3}y = 0$\nC: $3x \\pm y = 0$\nD: $x \\pm 3y = 0$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1001001",
"style": "rule"
} | {
"index": 5622,
"need_tools_kwargs": true,
"question": "A seven-digit integer is formed by repeating a positive three-digit integer and adding the same three-digit integer at the end. For example, if the three-digit integer is 123, the seven-digit number would be 123123123. What is the greatest common divisor of all such seven-digit integers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "three weeks",
"style": "rule"
} | {
"index": 5623,
"need_tools_kwargs": true,
"question": "I'm Moving On was originally recorded for the album released how long before John Lennon's death?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "29",
"style": "rule"
} | {
"index": 5624,
"need_tools_kwargs": true,
"question": "A regular dodecahedron is a convex polyhedron with 12 regular pentagonal faces and 20 vertices. If two distinct vertices are chosen at random, what is the probability that the line connecting them lies inside the dodecahedron?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": "45^\\circ",
"style": "rule"
} | {
"index": 5625,
"need_tools_kwargs": true,
"question": "Rectangle $EFGH$ has $EF = 8$ and $FG = 4$. Point $N$ is chosen on side $EF$ such that $\\angle ENG = \\angle FNG$. Determine the degree measure of $\\angle ENG$.\n$\\textbf{(A)}\\ 15 \\qquad\\textbf{(B)}\\ 30 \\qquad\\textbf{(C)}\\ 45 \\qquad\\textbf{(D)}\\ 60 \\qquad\\textbf{(E)}\\ 90$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1149852",
"style": "rule"
} | {
"index": 5626,
"need_tools_kwargs": true,
"question": "The Fibonacci numbers are defined by $F_{1}=F_{2}=1$ and $F_{n+2}=F_{n+1}+F_{n}$ for $n \\geq 1$. The Lucas numbers are defined by $L_{1}=1, L_{2}=2$, and $L_{n+2}=L_{n+1}+L_{n}$ for $n \\geq 1$. Calculate $\\frac{\\prod_{n=1}^{15} \\frac{F_{2 n}}{F_{n}}}{\\prod_{n=1}^{13} L_{n}}$.",
"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": "1",
"style": "rule"
} | {
"index": 5627,
"need_tools_kwargs": true,
"question": "Consider the sequence $\\{5, 55, 555, 5555, \\ldots, 555555555\\}$ consisting of nine numbers where each number is composed of digits that are all 5s, and the number of 5s increases by one in each subsequent number. Calculate the arithmetic mean, $N$, of these numbers, which is a 9-digit integer. After finding $N$, identify which digit from 1 to 9 does not appear in $N$.",
"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": "18",
"style": "rule"
} | {
"index": 5628,
"need_tools_kwargs": true,
"question": "Select three different digits from 0, 1, 2, 3, 4 to form a three-digit number, among which the number of odd numbers is ( )\nA: 18\nB: 27\nC: 36\nD: 60",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "March 17, 2015",
"style": "rule"
} | {
"index": 5629,
"need_tools_kwargs": true,
"question": "Eddie Jemison had a role in the television series \"IZombie\", which premiered on what date?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Canadian-American",
"style": "rule"
} | {
"index": 5630,
"need_tools_kwargs": true,
"question": "What was the nationality of the comic book artist who worked with Jerry Siegel to create the character Lois Lane?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "135",
"style": "rule"
} | {
"index": 5631,
"need_tools_kwargs": true,
"question": "In quadrilateral \\(ABCD\\), it is given that \\(\\angle B = 90^\\circ\\), \\(AB = BC = 5\\), \\(CD = 2\\sqrt{15}\\), and \\(DA = \\sqrt{10}\\). Calculate the measure of \\(\\angle BAD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Thiruvananthapuram",
"style": "rule"
} | {
"index": 5632,
"need_tools_kwargs": true,
"question": "Where was the composer of film Shyloo 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": "22",
"style": "rule"
} | {
"index": 5633,
"need_tools_kwargs": true,
"question": "Given $w$ and $z$ are complex numbers such that $|w+z|=2$ and $|w^2+z^2|=16,$ find the smallest possible value of $|w^3+z^3|.$",
"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": "Penn State",
"style": "rule"
} | {
"index": 5634,
"need_tools_kwargs": true,
"question": "The coach of the 2017 Houston Texans coached which team from 2012 to 2013?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5635,
"need_tools_kwargs": true,
"question": "Pyramid $OABCD$ has square base $ABCD$, congruent edges $\\overline{OA}, \\overline{OB}, \\overline{OC},$ and $\\overline{OD},$ and $\\angle AOB=60^\\circ.$ Let $\\theta$ be the measure of the dihedral angle formed by faces $OAB$ and $OBC.$ Given that $\\cos \\theta=m+\\sqrt{n},$ where $m$ and $n$ are integers, find $m+n.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "genus",
"style": "rule"
} | {
"index": 5636,
"need_tools_kwargs": true,
"question": "What type of category does Acantholimon and Podranea have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Grey Gardens",
"style": "rule"
} | {
"index": 5637,
"need_tools_kwargs": true,
"question": "Christine Ebersole appeared on Broadway in what musical, based on a 1975 documentary?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 1, 1977",
"style": "rule"
} | {
"index": 5638,
"need_tools_kwargs": true,
"question": "When was the cable television system that ran VCH founded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "monthly",
"style": "rule"
} | {
"index": 5639,
"need_tools_kwargs": true,
"question": "How often is the journal established by the 1954 recipient of the Bharat Ratna 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... | math | {
"ground_truth": "1001110000_2",
"style": "rule"
} | {
"index": 5640,
"need_tools_kwargs": true,
"question": "Let $T$ be the set of all positive integers that have five digits in base $2$. What is the sum of all of the elements in $T$, when expressed in base $2$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "DisneyToon Studios",
"style": "rule"
} | {
"index": 5641,
"need_tools_kwargs": true,
"question": "Who produced the 2003 animated film which Thomson Andrews played for ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "most all-purpose yards in a season",
"style": "rule"
} | {
"index": 5642,
"need_tools_kwargs": true,
"question": " Tobin Bo Gunnar Gerhart held the Stanford record for most rushing yards in a season until the record was broke by an American football running back holds the NCAA record for what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1979",
"style": "rule"
} | {
"index": 5643,
"need_tools_kwargs": true,
"question": "Given that there is a gathering attended by 1982 people, and among any group of 4 people, at least 1 person knows the other 3. How many people, at minimum, must know all the attendees at this 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... | math | {
"ground_truth": "-6[-W]",
"style": "rule"
} | {
"index": 5644,
"need_tools_kwargs": true,
"question": "For every real number $x$, let $[x]$ be the greatest integer which is less than or equal to $x$. If the postal rate for first class mail is six cents for every ounce or portion thereof, then the cost in cents of first-class postage on a letter weighing $W$ ounces is always",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "250",
"style": "rule"
} | {
"index": 5645,
"need_tools_kwargs": true,
"question": "Find the maximal positive integer $p$ such that $5^7$ is the sum of $p$ consecutive positive integers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{100}{243}",
"style": "rule"
} | {
"index": 5646,
"need_tools_kwargs": true,
"question": "A \"passing game\" follows these rules: At the nth level, a die is thrown n times. If the sum of the points from these n throws is greater than \\(2^n\\), the player passes the level. Questions:\n(1) What is the maximum number of levels a player can pass in this game?\n(2) What is the probability of passing the first three levels consecutively?\n(Note: The die is a fair cube with faces showing 1, 2, 3, 4, 5, 6 points. After a throw, the number shown on the top face when the die comes to rest is the point rolled.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5647,
"need_tools_kwargs": true,
"question": "How many four-digit numbers can be formed using the digits $1$, $9$, $8$, and $8$ that leave a remainder of 8 when divided by 11?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "22",
"style": "rule"
} | {
"index": 5648,
"need_tools_kwargs": true,
"question": "How many of us are there?\n\nTo help you answer this question, let's say that the probability that at least two of us share the same birthday is less than $1 / 2$, which would no longer be true if one more person joined us.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40/27",
"style": "rule"
} | {
"index": 5649,
"need_tools_kwargs": true,
"question": "Starting with an equilateral triangle as shown in diagram a, each side of the triangle is divided into three equal parts, and at the middle segment, new equilateral triangles are constructed outward, as shown in diagram b, forming a \"snowflake hexagon.\" Next, each of the 12 sides of the \"snowflake hexagon\" is divided into three equal parts, and new equilateral triangles are constructed outward at the middle segments, as shown in diagram c, forming a new \"snowflake shape.\" What is the ratio of the area of the shape in diagram c to the area of the triangle in diagram 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": "4\\sqrt{6}",
"style": "rule"
} | {
"index": 5650,
"need_tools_kwargs": true,
"question": "A triangular field ABC is bordered by Cedar Avenue, Dove Road, and a river. Elm Street runs parallel to Cedar Avenue, and the river runs perpendicular to both. The edge along Cedar Avenue from point A to B measures 4 miles, BC along Dove Road measures 2 miles at a right angle to Cedar Avenue, and the edge along the river from point C to A measures 6 miles. Calculate the area of the triangular field ABC.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "China",
"style": "rule"
} | {
"index": 5651,
"need_tools_kwargs": true,
"question": "Which national team is currently managed by an Italian former professional football player and a world cup winning manager who was in charge of a Europe XI in a UEFA Celebration Match in 2007?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "193",
"style": "rule"
} | {
"index": 5652,
"need_tools_kwargs": true,
"question": "Let the sequence \\((a_n)\\) be defined as \\(a_1=\\frac{1}{3}\\) and \\(a_{n+1}=\\frac{a_n}{\\sqrt{1+13a_n^2}}\\) for every \\(n\\geq 1\\). If \\(a_k\\) is the largest term of the sequence satisfying \\(a_k < \\frac{1}{50}\\), find 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... | math | {
"ground_truth": "B: \\frac{1}{2}",
"style": "rule"
} | {
"index": 5653,
"need_tools_kwargs": true,
"question": "Let $f(x)$ be an even function with the domain of $R$, and $f(2+x) = f(-x)$, $f(\\frac{1}{2}) = \\frac{1}{2}$. Then $f(\\frac{2023}{2}) = \\_\\_\\_$\n\nA: $-\\frac{1}{2}$\n\nB: $\\frac{1}{2}$\n\nC: $-\\frac{3}{2}$\n\nD: $\\frac{3}{2}$",
"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": "24",
"style": "rule"
} | {
"index": 5654,
"need_tools_kwargs": true,
"question": "The four faces of a tetrahedral die are labeled $0, 1, 2,$ and $3.$ The die has a peculiar property: when rolled, it vanishes, and a number of copies equal to the number on the face it landed on appear. For example:\n- If it lands on face $0,$ it disappears.\n- If it lands on face $1,$ nothing happens.\n- If it lands on face $2$ or $3,$ there will be $2$ or $3$ copies of the die, respectively (including the original).\n\nSuppose the die and all its copies are continually rolled. Let $p$ be the probability that they will all eventually disappear. Find $\\left\\lfloor \\frac{10}{p} \\right\\rfloor$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5655,
"need_tools_kwargs": true,
"question": "Let \\(ABC\\) be an acute triangle, and consider a rectangle \\(PQRS\\) with point \\(P\\) on side \\(AB\\), points \\(Q\\) and \\(R\\) on side \\(BC\\), and point \\(S\\) on side \\(AC\\). This rectangle is designed to have the largest area among all rectangles \\(TUVW\\) with point \\(T\\) on \\(AB\\), points \\(U\\) and \\(V\\) on \\(BC\\), and point \\(W\\) on \\(AC\\). If \\(D\\) is the foot of the altitude from point \\(A\\) to side \\(BC\\) such that \\(AD \\perp BC\\), and it is given that \\(PQ\\) is the harmonic mean of \\(\\frac{AD}{DB}\\) and \\(\\frac{AD}{DC}\\), determine the length of side \\(BC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Charles Henri Ford",
"style": "rule"
} | {
"index": 5656,
"need_tools_kwargs": true,
"question": "Murder on the Waterfront stars an American model and stage and film actress whose brother was what bohemian surrealist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ann Arbor, Michigan, United States",
"style": "rule"
} | {
"index": 5657,
"need_tools_kwargs": true,
"question": "In what city is a pizza restaurant chain criticized by Stealing Share headquartered?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Fred Hoiberg",
"style": "rule"
} | {
"index": 5658,
"need_tools_kwargs": true,
"question": "The 2011–12 Baylor Bears basketball team finished in a 3rd place tie in the conference with the team that was coached by whom?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\omega = 2, \\phi = \\frac{2\\pi}{3}",
"style": "rule"
} | {
"index": 5659,
"need_tools_kwargs": true,
"question": "Given that $\\omega > 0$, the graph of the function $y = \\sin(\\omega x + \\phi)$ ($-\\pi < \\phi < \\pi$) is shifted to the left by $\\frac{\\pi}{3}$ units, resulting in the following graph. Determine the values of $\\omega$ and $\\phi$. The options are:\nA: $\\omega = 1, \\phi = -\\frac{\\pi}{3}$\nB: $\\omega = 2, \\phi = -\\frac{\\pi}{3}$\nC: $\\omega = 1, \\phi = \\frac{2\\pi}{3}$\nD: $\\omega = 2, \\phi = \\frac{2\\pi}{3}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac{15}{16}",
"style": "rule"
} | {
"index": 5660,
"need_tools_kwargs": true,
"question": "If $α∈(0, \\dfrac{π}{2})$, $\\cos ( \\dfrac{π}{4}-α)=2 \\sqrt{2}\\cos 2α$, then $\\sin 2α=$____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5661,
"need_tools_kwargs": true,
"question": "已知在 \\triangle ABC 中，\\sin A\\sin B=\\sin C\\tan C，\\triangle ABC 的面积为 \\sqrt{5}，则 AB 的最小可能值为__________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Child of the Bear",
"style": "rule"
} | {
"index": 5662,
"need_tools_kwargs": true,
"question": "Kancamagus' grandfathers name translates to 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": "45",
"style": "rule"
} | {
"index": 5663,
"need_tools_kwargs": true,
"question": "Find the sum of all positive integers $n$ where the mean and median of $\\{20, 42, 69, n\\}$ are both integers.\n\n*Proposed by bissue*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Santa Clara, California",
"style": "rule"
} | {
"index": 5664,
"need_tools_kwargs": true,
"question": "In what city was Nickelodeon Splat City located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "120",
"style": "rule"
} | {
"index": 5665,
"need_tools_kwargs": true,
"question": "If the sum of two numbers is 55 and the HCF and LCM of these numbers are 5 and a certain value respectively, then the sum of the reciprocals of the numbers is equal to 0.09166666666666666. What is the LCM of the two 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": "f(\\cos x) = 2 + \\cos^2 x",
"style": "rule"
} | {
"index": 5666,
"need_tools_kwargs": true,
"question": "If $f(\\sin x) = 2 - \\cos^2 x$, then $f(\\cos x)$ is equal to ( )\n\nA. $2 - \\sin^2 x$\n\nB. $2 + \\sin^2 x$\n\nC. $2 - \\cos^2 x$\n\nD. $2 + \\cos^2 x$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 5667,
"need_tools_kwargs": true,
"question": "Factor completely over the set of polynomials with integer coefficients:\n\\[x^4 - 4x^3 + 14x^2 - 4x + 13.\\]\nThe original answer is in the form of \\[(ax^2 + b)(cx^2 + dx + e)\\], where \\[a, b, c, d,\\] and \\[e\\] are integers. Please find the value of \\[a + b + c + d + e\\].",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"index": 5668,
"need_tools_kwargs": true,
"question": "Let $A$, $B$, and $C$ be unique collinear points such that $AB = BC = \\frac{1}{3}$. Let $P$ be a point that lies on the circle centered at $B$ with radius $\\frac{1}{3}$ and the circle centered at $C$ with radius $\\frac{1}{3}$. Find the measure of angle $\\angle PAC$ in degrees.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sanskrit musicological texts",
"style": "rule"
} | {
"index": 5669,
"need_tools_kwargs": true,
"question": "The Vijayanagara musicological nonet consists of a work that is one of the most important what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "James Fowler",
"style": "rule"
} | {
"index": 5670,
"need_tools_kwargs": true,
"question": "What was the name of the architect who rebuilt Dalby Hall in Lincolnshire for J. W. Preston in 1856 after the home was destroyed by fire?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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",
"style": "rule"
} | {
"index": 5671,
"need_tools_kwargs": true,
"question": "In the diagram, all rows, columns, and diagonals have the sum 12. What is the sum of the four corner numbers?\n(A) 14\n(B) 15\n(C) 16\n(D) 17\n(E) 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": "Seth Rogen",
"style": "rule"
} | {
"index": 5672,
"need_tools_kwargs": true,
"question": "Bob Stencil has interviewed what supporting actor from the series \"Freaks and Geeks\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "530456",
"style": "rule"
} | {
"index": 5673,
"need_tools_kwargs": true,
"question": "How many 12-digit positive integers have all digits either 1, 2, or 3, and have at least 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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 5674,
"need_tools_kwargs": true,
"question": "Do director of film Massacre Mafia Style and director of film A Son Is Born share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "German",
"style": "rule"
} | {
"index": 5675,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Three Quarter Moon?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3.75",
"style": "rule"
} | {
"index": 5676,
"need_tools_kwargs": true,
"question": "Let \\(ABCD\\) be a rhombus where \\(AB=10\\), \\(AC=16\\), and \\(\\angle ABC = 60^\\circ\\). Extend \\(\\overline{CD}\\) through \\(D\\) to \\(E\\) so that \\(DE=6\\). If \\(\\overline{BE}\\) intersects \\(\\overline{AD}\\) at \\(F\\), determine the length of \\(FD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "23",
"style": "rule"
} | {
"index": 5677,
"need_tools_kwargs": true,
"question": "Given a rectangle \\(ABCD\\) where a circle intersects the side \\(AB\\) at points \\(K\\) and \\(L\\). If the lengths \\(AK\\), \\(KL\\), and \\(DN\\) are given as \\(10\\), \\(17\\), and \\(7\\) respectively, determine the length of the segment \\(MN\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "142",
"style": "rule"
} | {
"index": 5678,
"need_tools_kwargs": true,
"question": "Given a function $p(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f$, where each coefficient $a, b, c, d, e,$ and $f$ is either $1$ or $-1$. If $p(2) = 11$, what is the value of $p(3)$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 5679,
"need_tools_kwargs": true,
"question": "You are given a 4x4 grid where each digit from 1 through 4 must appear exactly once in each row and once in each column. The initial grid is as follows:\n\n\\[\n\\begin{tabular}{|c|c|c|c|}\\hline\n & 2 & & 3 \\\\ \\hline\n4 & & & \\\\ \\hline\n & & 1 & \\\\ \\hline\n & & 3 & \\\\ \\hline\n\\end{tabular}\n\\]\n\nDetermine what number will occupy the lower right-hand square of the grid after filling in the missing numbers according to the rules.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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<3",
"style": "rule"
} | {
"index": 5680,
"need_tools_kwargs": true,
"question": "Given the sets $A=\\{x\\mid \\begin{cases} 3x+6 > 0 \\\\ 2x-10 < 0\\\\\\end{cases}\\}$ and $B=\\{x\\mid m+1\\leqslant x\\leqslant 2m-1\\}$, find the range of values for $m$ such that $B\\subseteq A$.",
"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": "11040",
"style": "rule"
} | {
"index": 5681,
"need_tools_kwargs": true,
"question": "Select three digits from 1, 3, 5, 7, 9, and two digits from 0, 2, 4, 6, 8 to form a five-digit number without any repeating digits. How many such numbers can be formed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20 \\sqrt{2}",
"style": "rule"
} | {
"index": 5682,
"need_tools_kwargs": true,
"question": "In the diagram, $\\triangle ABE$, $\\triangle BCE$ and $\\triangle CDE$ are right-angled, with $\\angle AEB = \\angle BEC = \\angle CED = 45^\\circ$, and $AE=40$. Find the length of $CE$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5683,
"need_tools_kwargs": true,
"question": "Are director of film The Enchanted Square and director of film Desadanam 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": "148",
"style": "rule"
} | {
"index": 5684,
"need_tools_kwargs": true,
"question": "120 unit cubes are put together to form a rectangular prism whose six faces are then painted. This leaves 24 unit cubes without any paint. What is the surface area of the prism?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 16, 1924",
"style": "rule"
} | {
"index": 5685,
"need_tools_kwargs": true,
"question": "When is the composer of film Silver Streak (Film) 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "about 3782 ft",
"style": "rule"
} | {
"index": 5686,
"need_tools_kwargs": true,
"question": "How high is the mountain that is at the start of the Appalachian Trail?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5687,
"need_tools_kwargs": true,
"question": "The nine squares in the table shown are to be filled so that every row and every column contains each of the numbers \\(1, 2, 3\\). One square contains a \\(3\\), as shown. Determine the values of \\(A\\) and \\(B\\) in the table below, and then find the sum \\(A + B\\).\n\n\\[\n\\begin{tabular}{|c|c|c|}\\hline \n & & 3\\\\ \\hline \n & 2 & \\\\ \\hline \n A & & B\\\\ \\hline\n\\end{tabular}\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": "44\\%",
"style": "rule"
} | {
"index": 5688,
"need_tools_kwargs": true,
"question": "In order to compute the area of a particular circle, Juan first measures the length of its diameter. The actual diameter is 20 cm, but Juan's measurement has an error of up to $20\\%$. What is the largest possible percent error, in percent, in Juan's computed 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": "-1.0",
"style": "rule"
} | {
"index": 5689,
"need_tools_kwargs": true,
"question": "Compute $\\sin 270^\\circ$.",
"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... | qa | {
"ground_truth": "rocksteady",
"style": "rule"
} | {
"index": 5690,
"need_tools_kwargs": true,
"question": "The artist behind the \"You Don't Love Me (No, No, No)\" album had a career during which era?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "103",
"style": "rule"
} | {
"index": 5691,
"need_tools_kwargs": true,
"question": "Given a positive integer \\( n \\), let \\( p(n) \\) represent the product of the non-zero digits of \\( n \\) (if \\( n \\) has only one digit, then \\( p(n) \\) equals that digit). If\n\\[ \nS = p(1) + p(2) + p(3) + \\cdots + p(999), \n\\]\nwhat is the largest prime factor of \\( S \\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "419",
"style": "rule"
} | {
"index": 5692,
"need_tools_kwargs": true,
"question": "Six teams play in a soccer tournament where each team faces every other team exactly once. Each match results in a win or a loss, with no ties allowed. Winners receive one point; losers receive none. In the first match, Team $A$ defeats Team $B$. Assuming each team has an equal chance to win each match, and all match outcomes are independent, find the probability that Team $A$ scores more points than Team $B$ throughout the tournament. Let this probability be expressed as a fraction $m/n$ in its 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": "\\frac{3}{2}",
"style": "rule"
} | {
"index": 5693,
"need_tools_kwargs": true,
"question": "Determine the value of the expression $\\frac{\\log \\sqrt{27}+\\log 8-3 \\log \\sqrt{10}}{\\log 1.2}$.",
"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": "The Chance Of A Night Time",
"style": "rule"
} | {
"index": 5694,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Lover Boy (1985 Film) or The Chance Of A Night Time?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "31 December 1719",
"style": "rule"
} | {
"index": 5695,
"need_tools_kwargs": true,
"question": "When did Margaret Flamsteed's husband 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": "yes",
"style": "rule"
} | {
"index": 5696,
"need_tools_kwargs": true,
"question": "Are Kuleh Bayan and Qasr, Mashhad 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": "3F",
"style": "rule"
} | {
"index": 5697,
"need_tools_kwargs": true,
"question": "Let \\( F = \\lg \\frac{1+x}{1-x} \\). If each \\( x \\) in the expression is replaced by \\( \\frac{3x + x^3}{1 + 3x^2} \\), then the new function \\( G \\) simplified is equal to \n(A) \\( -F \\). \n(B) \\( F \\). \n(C) \\( 3F \\). \n(D) \\( F^2 \\). \n(E) \\( F^3 - F \\). \n(from the 14th Annual American High School Mathematics Examination, 1963)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "20 June 1856",
"style": "rule"
} | {
"index": 5698,
"need_tools_kwargs": true,
"question": "What is the date of death of Princess Florestine Of Monaco'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": "\\begin{pmatrix} 5 & 0 \\\\ -66 & -137 \\end{pmatrix}",
"style": "rule"
} | {
"index": 5699,
"need_tools_kwargs": true,
"question": "Given that $\\mathbf{A}^{-1} = \\begin{pmatrix} 3 & 8 \\\\ -2 & -5 \\end{pmatrix}$, find the inverse of $\\mathbf{A}^3$.",
"split": "train"
} | null |
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