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": "0.19",
"style": "rule"
} | {
"index": 5200,
"need_tools_kwargs": true,
"question": "Find the minimum value of the expression \\(\\frac{5 x^{2}-8 x y+5 y^{2}-10 x+14 y+55}{\\left(9-25 x^{2}+10 x y-y^{2}\\right)^{5 / 2}}\\). If necessary, round the answer to hundredths.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Armisen",
"style": "rule"
} | {
"index": 5201,
"need_tools_kwargs": true,
"question": "Which American actor that founded Thunderant.com stared in \"Late Night\" as the bandleader of the show's house band?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 February 1857",
"style": "rule"
} | {
"index": 5202,
"need_tools_kwargs": true,
"question": "What is the date of death of Randi Solem's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Best Music Director",
"style": "rule"
} | {
"index": 5203,
"need_tools_kwargs": true,
"question": "What distinction was awarded to the Indian Carnatic vocalist, musician, multi-instrumentalist and composer when he won the National Award for a Kannada language film based on the life and teachings of the founder of the Tattvavada philosophy, Madhvacharya?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "27 July 1522",
"style": "rule"
} | {
"index": 5204,
"need_tools_kwargs": true,
"question": "What is the date of death of Ludwig Of Hanau-Lichtenberg's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Harvey Grant",
"style": "rule"
} | {
"index": 5205,
"need_tools_kwargs": true,
"question": "What Bullets player has an identical twin brother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "singer-songwriter",
"style": "rule"
} | {
"index": 5206,
"need_tools_kwargs": true,
"question": "Jason Scheff and Kyosuke Himuro are both in what profession?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8\\sqrt{6}",
"style": "rule"
} | {
"index": 5207,
"need_tools_kwargs": true,
"question": "In the triangular pyramid \\( S-ABC \\), \\( SA = 4 \\), \\( SB \\geq 7 \\), \\( SC \\geq 9 \\), \\( AB = 5 \\), \\( BC \\leq 6 \\), \\( AC \\leq 8 \\). The maximum volume of the triangular pyramid is \\(\\quad\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(6,0)",
"style": "rule"
} | {
"index": 5208,
"need_tools_kwargs": true,
"question": "Which of the following points is farthest from the origin: $(0,5)$, $(1,2)$, $(3,-4)$, $(6,0)$, $(-1,-2)?$",
"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... | math | {
"ground_truth": "45^\\circ",
"style": "rule"
} | {
"index": 5209,
"need_tools_kwargs": true,
"question": " $MD$ is a chord of length $2$ in a circle of radius $1,$ and $L$ is chosen on the circle so that the area of $\\triangle MLD$ is the maximized. Find $\\angle MLD.$ ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "September 30, 1873",
"style": "rule"
} | {
"index": 5210,
"need_tools_kwargs": true,
"question": "What is the date of birth of Herbert Copeland's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": 5211,
"need_tools_kwargs": true,
"question": "Caroline wants to plant 10 trees in her orchard. Planting $n$ apple trees requires $n^2$ square meters, planting $n$ apricot trees requires $5n$ square meters, and planting $n$ plum trees requires $n^3$ square meters. If she is committed to growing only apple, apricot, and plum trees, what is the least amount of space in square meters, that her garden will take up?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5212,
"need_tools_kwargs": true,
"question": "Consider a convex pentagon \\(ABCDE\\) where the following conditions hold: \\(AB = AE = CD = 1\\) and \\(BC + DE = 1\\). Additionally, the angles \\(\\angle ABC\\) and \\(\\angle DEA\\) are both \\(90^\\circ\\). Using this information, calculate the area of pentagon \\(ABCDE\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5213,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song I Don'T Care (Eva Tanguay Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1363",
"style": "rule"
} | {
"index": 5214,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $\\angle ABC = 90^\\circ$ and $AD$ is an angle bisector. If $AB = 90,$ $BC = x$, and $AC = 2x - 6,$ then find the area of $\\triangle ADC$. Round your answer to the nearest integer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "filmmaker",
"style": "rule"
} | {
"index": 5215,
"need_tools_kwargs": true,
"question": "What do Mikio Naruse and Raoul Peck 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": "American",
"style": "rule"
} | {
"index": 5216,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Lady Of The Lake (Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "India",
"style": "rule"
} | {
"index": 5217,
"need_tools_kwargs": true,
"question": "Which country the director of film Bhadaas is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{6}{5}",
"style": "rule"
} | {
"index": 5218,
"need_tools_kwargs": true,
"question": "Henry decides one morning to do a workout, and he walks \\(\\frac{3}{4}\\) of the way from his home to his gym, which is 2 kilometers away from his home. After reaching that point, he changes his mind and walks \\(\\frac{3}{4}\\) of the way back toward home. He continues this pattern of walking \\(\\frac{3}{4}\\) of the distance toward either the gym or home from his last position. If he keeps changing his mind in this manner, he will approach two points, \\(A\\) kilometers from home and \\(B\\) kilometers from home. What is the absolute difference \\(|A-B|\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 5219,
"need_tools_kwargs": true,
"question": "Are both movies, The Night Flyer (Film) and On The Town (Film), 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": "729000000",
"style": "rule"
} | {
"index": 5220,
"need_tools_kwargs": true,
"question": "Find the product of all integer divisors of $120$ that also divide $30$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "British",
"style": "rule"
} | {
"index": 5221,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song Amigos Para Siempre?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5222,
"need_tools_kwargs": true,
"question": "Let $a, b$ be positive real numbers, and let $x, y$ be complex numbers such that $|x| = a$ and $|y| = b$ . Find the minimal and maximal value of\n\\[\\left|\\frac{x + y}{1 + x\\overline{y}}\\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... | qa | {
"ground_truth": "Brearley School",
"style": "rule"
} | {
"index": 5223,
"need_tools_kwargs": true,
"question": "Where did Christopher Chaplin's mother graduate from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "All The Sins Of The Earth",
"style": "rule"
} | {
"index": 5224,
"need_tools_kwargs": true,
"question": "Which film has the director died later, All The Sins Of The Earth or Spitfire (1934 Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Robert Nesta Marley",
"style": "rule"
} | {
"index": 5225,
"need_tools_kwargs": true,
"question": "Who founded their band first, Bob Marley or Damian Kulash?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "October 30, 1997",
"style": "rule"
} | {
"index": 5226,
"need_tools_kwargs": true,
"question": "When did the director of film China Gate (1957 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": "11",
"style": "rule"
} | {
"index": 5227,
"need_tools_kwargs": true,
"question": "The sequence $\\{a_n\\}$ satisfies $a_1= \\frac{1}{2}$, and $a_n \\cdot a_{n-1} - 2a_n + a_{n-1} = 0$ $(n \\geqslant 2)$, then the largest positive integer $k$ that makes $a_k > \\frac{1}{2,017}$ is ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Adélard Bellemare",
"style": "rule"
} | {
"index": 5228,
"need_tools_kwargs": true,
"question": "Who was born first out of Adélard Bellemare and Peter Freebody?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1978",
"style": "rule"
} | {
"index": 5229,
"need_tools_kwargs": true,
"question": "Bobby Arora is the trading director of a retail chain that was formed in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 August 1972",
"style": "rule"
} | {
"index": 5230,
"need_tools_kwargs": true,
"question": "What is the date of death of Miles Fitzalan-Howard, 17Th Duke Of Norfolk'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... | qa | {
"ground_truth": "24",
"style": "rule"
} | {
"index": 5231,
"need_tools_kwargs": true,
"question": "How many league titles has the Norwegian professional football club for which Jan Christiansen played in Trondheim won?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Thomas Louis Berger",
"style": "rule"
} | {
"index": 5232,
"need_tools_kwargs": true,
"question": "Which author is best known for their novel \"Little Big Man\", Rosario Castellanos or Thomas Berger?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "French-Lithuanian",
"style": "rule"
} | {
"index": 5233,
"need_tools_kwargs": true,
"question": "What was the nationality of the semiotician who developed the Actantial model in 1966",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 12, 2011",
"style": "rule"
} | {
"index": 5234,
"need_tools_kwargs": true,
"question": "What date was the Foo Fighter's album released which contains the single \"Rope?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "UTC−3 time zone",
"style": "rule"
} | {
"index": 5235,
"need_tools_kwargs": true,
"question": "Which UTC time zone was the 2002 FIVB Volleyball Men's World Championship based on?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "David Bottrill",
"style": "rule"
} | {
"index": 5236,
"need_tools_kwargs": true,
"question": "Hooker with a Penis was from the album produced 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... | qa | {
"ground_truth": "Queen of Sufi music",
"style": "rule"
} | {
"index": 5237,
"need_tools_kwargs": true,
"question": "What is the nickname of the singer who released the album Baba Bulleh Shah in 2003?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1734",
"style": "rule"
} | {
"index": 5238,
"need_tools_kwargs": true,
"question": "Determine the number of pairs of integers \\( (m, n) \\) such that \\( 1 \\leq m \\leq 4024 \\) and the following inequalities hold: \n\\[ 3^n < 2^m < 2^{m+1} < 3^{n+1}. \\]\nAdditionally, it is given that \\( 3^{1734} \\) is between \\( 2^{4023} \\) and \\( 2^{4024} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5239,
"need_tools_kwargs": true,
"question": "Given the sets $M={x|m\\leqslant x\\leqslant m+ \\frac {7}{10}}$ and $N={x|n- \\frac {2}{5}\\leqslant x\\leqslant n}$, both of which are subsets of ${x|0\\leqslant x\\leqslant 1}$, find the minimum value of the \"length\" of the set $M\\cap N$. (Note: The \"length\" of a set ${x|a\\leqslant x\\leqslant b}$ is defined as $b-a$.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hollywood",
"style": "rule"
} | {
"index": 5240,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Countess Of Paris?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "MTV Splitsvilla",
"style": "rule"
} | {
"index": 5241,
"need_tools_kwargs": true,
"question": "Pavitra Punia started her career on which Indian reality show?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Livre de recettes d'un enfant",
"style": "rule"
} | {
"index": 5242,
"need_tools_kwargs": true,
"question": "What was the first opera written by the composer of \"La Colombe\"? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "five-time",
"style": "rule"
} | {
"index": 5243,
"need_tools_kwargs": true,
"question": "How many BAFTA TV Awards have been won by the DJ that premiered the song \"That's the Truth\" on British Radio?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Brian Francis Johnson",
"style": "rule"
} | {
"index": 5244,
"need_tools_kwargs": true,
"question": "No Sweat is the final studio album by British glam rock band Geordie, and the only one the band recorded without their original English vocalist, 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... | math | {
"ground_truth": "a^2 (4a + 1)",
"style": "rule"
} | {
"index": 5245,
"need_tools_kwargs": true,
"question": "Simplify $2a(2a^2 + a) - a^2$.",
"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": "his starring role in the ABC television series \"The Rebel\" (1959).",
"style": "rule"
} | {
"index": 5246,
"need_tools_kwargs": true,
"question": "What ABC television series did the actor, who played the notorious criminal John Dillinger in \"Young Dillinger,\" star 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": "4 January 1994",
"style": "rule"
} | {
"index": 5247,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Humshakal (1974 Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(3, 2021, 4), (-1,2019,-2)",
"style": "rule"
} | {
"index": 5248,
"need_tools_kwargs": true,
"question": "Solve the following system of equations:\n\n$$\n\\left\\{\\begin{aligned}\nx+y-2018 & =(y-2019) \\cdot x \\\\\ny+z-2017 & =(y-2019) \\cdot z \\\\\nx+z+5 & =x \\cdot z\n\\end{aligned}\\right.\n$$",
"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": "the City of Boroondara",
"style": "rule"
} | {
"index": 5249,
"need_tools_kwargs": true,
"question": "Curtis Reid died at a city that is in which local government 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... | math | {
"ground_truth": "(7, 3, 2)",
"style": "rule"
} | {
"index": 5250,
"need_tools_kwargs": true,
"question": "Determine all prime numbers \\( p, q \\), and \\( r \\) such that \\( p + q^2 = r^4 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 5251,
"need_tools_kwargs": true,
"question": "Six lines are drawn in the plane. Determine the maximum number of points through which at least three lines pass.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Laurie Anderson",
"style": "rule"
} | {
"index": 5252,
"need_tools_kwargs": true,
"question": "Who is the spouse of the composer of song Walk On The Wild Side (Lou Reed Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Attu Island",
"style": "rule"
} | {
"index": 5253,
"need_tools_kwargs": true,
"question": "Which island where the Japanese Navy attacked and occupied United States territory during World War II became uninhabited in 2010?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Lucille Désirée Ball",
"style": "rule"
} | {
"index": 5254,
"need_tools_kwargs": true,
"question": "Beauty for the Asking starred what American actress who was best known as the star of I Love Lucy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Belgian",
"style": "rule"
} | {
"index": 5255,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Quest (Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"Right Here (Human Nature Remix)\"",
"style": "rule"
} | {
"index": 5256,
"need_tools_kwargs": true,
"question": "What SWV song was on the Billboard R&B charts at No. 1 for seven weeks in 1993?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Ski Instructor",
"style": "rule"
} | {
"index": 5257,
"need_tools_kwargs": true,
"question": "What was Don Simpson's occupation after graduating from college?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Naomi Deutsch",
"style": "rule"
} | {
"index": 5258,
"need_tools_kwargs": true,
"question": "Who lived longer, Naomi Deutsch or Salih Neftçi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5259,
"need_tools_kwargs": true,
"question": "Given a permutation \\( s_0, s_2, \\ldots, s_n \\) of \\( 0, 1, 2, \\ldots, n \\), we may transform it if we can find \\( i, j \\) such that \\( s_i = 0 \\) and \\( s_j = s_{i-1} + 1 \\). The new permutation is obtained by transposing \\( s_i \\) and \\( s_j \\). For which \\( n \\) can we obtain \\((1, 2, \\ldots, n, 0)\\) by repeated transformations starting with \\((1, n, n-1, \\ldots, 3, 2, 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": "2.4",
"style": "rule"
} | {
"index": 5260,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), the lengths of the sides are \\( AB = 6 \\), \\( BC = 10 \\), and \\( CA = 8 \\). Let \\( \\overline{AH} \\) be the altitude from vertex \\( A \\) to side \\( BC \\). Points \\( D \\) and \\( E \\) are located on sides \\( \\overline{AC} \\) and \\( \\overline{AB} \\), respectively, such that \\( \\overline{BD} \\) and \\( \\overline{CE} \\) are angle bisectors that intersect \\( \\overline{AH} \\) at points \\( Q \\) and \\( P \\). It is given that \\( BD = DE = EC \\). Calculate the length of segment \\( PH \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{3}",
"style": "rule"
} | {
"index": 5261,
"need_tools_kwargs": true,
"question": "Given a hyperbola with asymptotes $2x \\pm y=0$, that passes through the intersection of the lines $x+y-3=0$ and $2x-y+3t=0$, where $-2 \\leq t \\leq 5$. Find the maximum possible length of the real axis of the hyperbola.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2017",
"style": "rule"
} | {
"index": 5262,
"need_tools_kwargs": true,
"question": "The function \\( f \\) satisfies the equation \\((x-1) f(x) + f\\left(\\frac{1}{x}\\right) = \\frac{1}{x-1}\\) for each value of \\( x \\) not equal to 0 and 1. Find \\( f\\left(\\frac{2016}{2017}\\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... | qa | {
"ground_truth": "Hamburg",
"style": "rule"
} | {
"index": 5263,
"need_tools_kwargs": true,
"question": "Where was the director of film Violent Shit Iii 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": "Jean Markose",
"style": "rule"
} | {
"index": 5264,
"need_tools_kwargs": true,
"question": "Who directed the 2014 film that was a knock-off of the 2012 film directed by Jung Byung-gil?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\"Your Woman\"",
"style": "rule"
} | {
"index": 5265,
"need_tools_kwargs": true,
"question": "Abort, Retry, Fail? is an EP released by a musician who became a one-hit wonder with what song?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 {2}{27}",
"style": "rule"
} | {
"index": 5266,
"need_tools_kwargs": true,
"question": "Consider a sequence ${a_n}$ where each term is positive, and let $S_n$ be the sum of the first $n$ terms. The sequence satisfies the condition $a_{n+1}^{2}=4S_{n}+4n-3$, and $a_{2}$, $a_{5}$, $a_{14}$ are the first three terms of a geometric sequence ${b_n}$.\n(1) Find the general term formulas for the sequences ${a_n}$ and ${b_n}$;\n(2) Let $T_{n}$ be the sum of the first $n$ terms of ${b_n}$. If for any $n∈N^{*}$, the inequality $(T_{n}+ \\frac {3}{2})k\\geqslant 3n-6$ always holds, find the range of values for the real number $k$.",
"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": "31",
"style": "rule"
} | {
"index": 5267,
"need_tools_kwargs": true,
"question": "Find the number of positive integer pairs \\((a, b)\\) satisfying \\(a^2 + b^2 < 2013\\) and \\(a^2 b \\mid (b^3 - a^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": "28,121,600",
"style": "rule"
} | {
"index": 5268,
"need_tools_kwargs": true,
"question": "License plates from different states follow different alpha-numeric formats, which dictate which characters of a plate must be letters and which must be numbers. Florida has license plates with an alpha-numeric format like the one pictured. North Dakota, on the other hand, has a different format, also pictured. Assuming all 10 digits are equally likely to appear in the numeric positions, and all 26 letters are equally likely to appear in the alpha positions, how many more license plates can Florida issue than North Dakota? [asy]\nimport olympiad; size(240); defaultpen(linewidth(0.8)); dotfactor=4;\ndraw((0,0)--(3,0)--(3,1)--(0,1)--cycle);\nlabel(\"\\LARGE HJF 94K\",(1.5,0.6)); label(\"Florida\",(1.5,0.2));\ndraw((4,0)--(7,0)--(7,1)--(4,1)--cycle);\nlabel(\"\\LARGE DGT 317\",(5.5,0.6)); label(\"North Dakota\",(5.5,0.2));\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 5269,
"need_tools_kwargs": true,
"question": "Are both Chris Wolf and Luis Sánchez (Footballer) 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": "Richard George Fariña",
"style": "rule"
} | {
"index": 5270,
"need_tools_kwargs": true,
"question": "Which writer was also a singer, Zane Grey or Richard Fariña?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5271,
"need_tools_kwargs": true,
"question": "Are both villages, Melah Kabud, Salas-E Babajani and Rangeh Rizhan, located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "10 October 1966",
"style": "rule"
} | {
"index": 5272,
"need_tools_kwargs": true,
"question": "What is the date of death of Gwen Sterry's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "676",
"style": "rule"
} | {
"index": 5273,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a_n\\}$, $(a_1=1, a_2=2)$, and $(a_{n+2} - a_n = 1 + (-1)^n (n \\in \\mathbb{N}^*))$, find the value of $(a_1 + a_2 + \\dots + a_{51} = \\_\\_\\_\\_\\_\\_\\_)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": " ",
"style": "rule"
} | {
"index": 5274,
"need_tools_kwargs": true,
"question": "Using a compass and a straightedge, construct an angle equal to a given angle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\{1,3,4\\}",
"style": "rule"
} | {
"index": 5275,
"need_tools_kwargs": true,
"question": "Given sets $A=\\{1,3\\}$ and $B=\\{3,4\\}$, then $A\\cup B=$?",
"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": "Stephen Ray \"Steve\" Perry",
"style": "rule"
} | {
"index": 5276,
"need_tools_kwargs": true,
"question": "Who is the lead singer of Journey Jaime St. James or Steve Perry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "over 8,000",
"style": "rule"
} | {
"index": 5277,
"need_tools_kwargs": true,
"question": "How many patients did a hospital above Congress Heights Station house at its peak in the 1950s?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "75th",
"style": "rule"
} | {
"index": 5278,
"need_tools_kwargs": true,
"question": "How many regular seasons did the National Hokey League have up til the 1991-92 Edmonton Oilers season?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dart Container",
"style": "rule"
} | {
"index": 5279,
"need_tools_kwargs": true,
"question": "Who now owns the company that was headed by Robert Leo \"Bob\" Hulseman until 2006?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1003",
"style": "rule"
} | {
"index": 5280,
"need_tools_kwargs": true,
"question": "a) Calculate the product $$ \\left(1+\\frac{1}{2}\\right) \\left(1+\\frac{1}{3}\\right) \\left(1+\\frac{1}{4}\\right)... \\left(1+\\frac{1}{2006}\\right) \\left(1+\\frac{1}{2007}\\right) $$ b) Let the set $$ A =\\left\\{\\frac{1}{2}, \\frac{1}{3},\\frac{1}{4}, ...,\\frac{1}{2006}, \\frac{1}{2007}\\right\\} $$ Determine the sum of all products of $2$ , of $4$ , of $6$ ,... , of $2004$ ¸and of $ 2006$ different elements of the set $A$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bar 20 Rides Again",
"style": "rule"
} | {
"index": 5281,
"need_tools_kwargs": true,
"question": "Which film has the director died later, Bar 20 Rides Again or The Girl in 419?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5282,
"need_tools_kwargs": true,
"question": "Were both Quintus Aurelius Symmachus and Ekaterina Vladimirovna Apraksina, born in the same place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1981–1984",
"style": "rule"
} | {
"index": 5283,
"need_tools_kwargs": true,
"question": "Between what years did the author of Solip:System write under the name Jon Williams?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5284,
"need_tools_kwargs": true,
"question": "Let \\( k \\) be a positive integer. Bernardo and Silvia take turns writing and erasing numbers on a blackboard as follows: Bernardo starts by writing the smallest perfect cube with \\( k+1 \\) digits. Every time Bernardo writes a number, Silvia erases the last \\( 2k \\) digits of it. Bernardo then writes the next perfect cube, Silvia erases the last \\( 2k \\) digits of it, and this process continues until the last two numbers that remain on the board differ by at least 2. Define \\( f(k) \\) as the smallest positive integer not written on the board. Determine \\( f(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": "320000 \\mbox{ acres}",
"style": "rule"
} | {
"index": 5285,
"need_tools_kwargs": true,
"question": "The figure shown represents a plot of land and is drawn using a scale in which 1 cm equals 2 miles. One square mile is 640 acres. How large is the actual plot of land, in acres? [asy]\ndraw((0,0)--(15,0)--(10,10)--(0,10)--cycle);\ndraw((0,1)--(1,1)--(1,0));\ndraw((0,9)--(1,9)--(1,10));\nlabel(\"15 cm\",(7.5,0),S);\nlabel(\"10 cm\",(0,5),W);\nlabel(\"10 cm\",(5,10),N);\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Yuen Woo-ping",
"style": "rule"
} | {
"index": 5286,
"need_tools_kwargs": true,
"question": "Who was the choreographer for the IP Man movie that's theme focuses on \"Life\" itself?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Emmett",
"style": "rule"
} | {
"index": 5287,
"need_tools_kwargs": true,
"question": "What is the first name of the individual who won the Gordon E. Moore Medal, an award given yearly by the Society of Chemical Industry to someone who has displayed early career success involving innovation in chemical industries, in 2010?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 5288,
"need_tools_kwargs": true,
"question": "Tasha and Amy both pick a number, and they notice that Tasha's number is greater than Amy's number by 12. After squaring their numbers, the sum of these squares equals half of 169. When they square their new numbers, Tasha's latest number is now greater than Amy's by 5070. What is the sum of their original 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": "4",
"style": "rule"
} | {
"index": 5289,
"need_tools_kwargs": true,
"question": "Andrew buys 27 identical small cubes, each with two adjacent faces painted red. He then uses all of these cubes to build a large cube. What is the largest number of completely red faces that the large cube can have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "September 23, 1815",
"style": "rule"
} | {
"index": 5290,
"need_tools_kwargs": true,
"question": "What is the date of death of Angus Bethune (Fur Trader)'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": "60^\\circ",
"style": "rule"
} | {
"index": 5291,
"need_tools_kwargs": true,
"question": "In a figure with circle $Q$, angle $KAT$ measures 60 degrees. What is the measure of minor arc $AK$ in degrees? [asy]\nimport olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;\ndraw(unitcircle);\ndraw(dir(90)--(-1,0)--(1,0));\ndot(\"$A$\",(-1,0),W); dot(\"$K$\",dir(90),N); dot(\"$T$\",(1,0),E); dot(\"$Q$\",(0,0),S);\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "United States national team",
"style": "rule"
} | {
"index": 5292,
"need_tools_kwargs": true,
"question": "During the 32nd season of the Utah Jazz franchise they traded an American professional basketball player who was a gold medal winner on what Summer Olympic team?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sunset Serenade",
"style": "rule"
} | {
"index": 5293,
"need_tools_kwargs": true,
"question": "Which film has the director who died earlier, Sunset Serenade or Chakravarthi Thirumagal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5294,
"need_tools_kwargs": true,
"question": "Do both films, The Queen'S Secretary and Shod With Fire, have the directors who are 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": "10",
"style": "rule"
} | {
"index": 5295,
"need_tools_kwargs": true,
"question": "There is a massive rainstorm lasting 4 days. There is an area that collects water to prevent flooding in the area. It ends up overflowing on the 4th day. The area can hold the equivalent of 6 feet of rain. It can also drain out the equivalent of 3 inches of rain per day to the nearby river without causing problems. The first day it rained some inches. The second day it rained twice that much. On the third day, it rained 50% more than the second day. It flooded the fourth day before getting a chance to do any of the draining. The minimum amount it rained on the fourth day is 21 inches. How many inches did it rain on the first day?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-75",
"style": "rule"
} | {
"index": 5296,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = x^3 - 3x^2 - 9x + 1$,\n(1) Determine the monotonicity of the function on the interval $[-4, 4]$.\n(2) Calculate the function's local maximum and minimum values as well as the absolute maximum and minimum values on the interval $[-4, 4]$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "All-Star Comedy Jam Tour",
"style": "rule"
} | {
"index": 5297,
"need_tools_kwargs": true,
"question": "What event kind of event named after a retired professional basketball player and rapper did Gary Owen perform at?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "790 km",
"style": "rule"
} | {
"index": 5298,
"need_tools_kwargs": true,
"question": "The western boundary of Molendinar follows a national highway that is how long?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Boston",
"style": "rule"
} | {
"index": 5299,
"need_tools_kwargs": true,
"question": "The producer for the music and soundtrack for a film directed by Stephen Herek about a tribute band singer named Chris \"Izzy\" Cole was born in what city?",
"split": "train"
} | null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.