data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "His career was reborn in 1953 with the success of \"From Here to Eternity\", with his performance subsequently",
"style": "rule"
} | {
"index": 4500,
"need_tools_kwargs": true,
"question": "When did Frank Sinatra's career begin to lag? Frank Sinatra lived in a walled compound with some of his best friends. Who were they?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4501,
"need_tools_kwargs": true,
"question": "Are Qanat-E Farrokh and Shah Zeyd both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 4502,
"need_tools_kwargs": true,
"question": "Are Pack Up Your Troubles (1940 Film) and Thunderbolt'S Tracks 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": "-186",
"style": "rule"
} | {
"index": 4503,
"need_tools_kwargs": true,
"question": "设集合 A=\\{1,2\\},B=\\{3,4\\}，X=\\{mn\\ |\\ z=a+bi,其中 a\\in A, b\\in B, z 为实系数方程 x^2+mx+n=0 的根 \\}. 则 X 中所有元素之和为__________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4.588\\%",
"style": "rule"
} | {
"index": 4504,
"need_tools_kwargs": true,
"question": "Find the mass percentage of H in Ascorbic acid",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "83",
"style": "rule"
} | {
"index": 4505,
"need_tools_kwargs": true,
"question": "A fair, twenty-faced die has $19$ of its faces numbered from $1$ through $19$ and has one blank face. Another fair, twenty-faced die has $19$ of its faces numbered from $1$ through $8$ and $10$ through $20$ and has one blank face. When the two dice are rolled, what is the probability that the sum of the two numbers facing up will be $24?$ Express your answer as a common fraction.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... | qa | {
"ground_truth": "Wałbrzych",
"style": "rule"
} | {
"index": 4506,
"need_tools_kwargs": true,
"question": "Where was the composer of film The Young Magician (Film) 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": "999",
"style": "rule"
} | {
"index": 4507,
"need_tools_kwargs": true,
"question": "For real numbers $x_1, x_2, x_3, \\dots, x_{333} \\in [-1, \\infty)$, let $S_k = \\sum_{i = 1}^{333} x_i^k$ for each $k$. If $S_2 = 777$, compute the least possible value of $S_3$.",
"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": "42",
"style": "rule"
} | {
"index": 4508,
"need_tools_kwargs": true,
"question": "已知三个互不相等的整数 $x 、 y 、 z$ 之和介于 40 与 44 之间. 若 $x, y, z$ 依次构成公差为 $d$ 的等差数列， $x+y 、 y+z 、 z+x$ 依次构成公比为 $q$ 的等比数列, 则 $d q=$\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": "April 12, 1962",
"style": "rule"
} | {
"index": 4509,
"need_tools_kwargs": true,
"question": "The founder of Summerland Tour was born 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... | math | {
"ground_truth": "0.817",
"style": "rule"
} | {
"index": 4510,
"need_tools_kwargs": true,
"question": "800 independent trials were conducted: in 200 of them, the probability of the expected outcome was 0.5, in 400 trials this probability was 0.4, and in the remaining cases, the probability of the favorable outcome was 0.3. Estimate from below the probability that the deviation in the frequency of the expected result from the average probability does not exceed 0.04 in absolute value.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2000",
"style": "rule"
} | {
"index": 4511,
"need_tools_kwargs": true,
"question": "To investigate a non-luminous black planet in distant space, Xiao Feitian drives a high-speed spaceship equipped with a powerful light, traveling straight towards the black planet at a speed of 100,000 km/s. When Xiao Feitian had just been traveling for 100 seconds, the spaceship instruments received light reflected back from the black planet. If the speed of light is 300,000 km/s, what is the distance from Xiao Feitian's starting point to the black planet in 10,000 kilometers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 6, 1992",
"style": "rule"
} | {
"index": 4512,
"need_tools_kwargs": true,
"question": "When did Juan Torena's wife 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": "45",
"style": "rule"
} | {
"index": 4513,
"need_tools_kwargs": true,
"question": "Let the set $M = \\{-2, 0, 1\\}$ and $N = \\{1, 2, 3, 4, 5\\}$. A function $f: M \\rightarrow N$ is defined such that for any $x \\in M$, $x + f(x) + x f(x)$ is an odd number. How many such functions $f$ are there?\n\nA. 45\n\nB. 27\n\nC. 15\n\nD. 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... | qa | {
"ground_truth": "Matka",
"style": "rule"
} | {
"index": 4514,
"need_tools_kwargs": true,
"question": "Dharmatma included a title character based on a king of which Indian form of lottery?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 4515,
"need_tools_kwargs": true,
"question": "Determine the value of\n$$\n\\sum_{n=1}^{\\infty} \\ln \\left(1+\\frac{1}{n}\\right) \\cdot \\ln \\left(1+\\frac{1}{2 n}\\right) \\cdot \\ln \\left(1+\\frac{1}{2 n+1}\\right)\n$$\nThe original answer is in the form of \\frac{m}{n} \\ln^3(2). 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... | qa | {
"ground_truth": "United Kingdom",
"style": "rule"
} | {
"index": 4516,
"need_tools_kwargs": true,
"question": "In what country was \"Glendora\" released by a company whose name was also used for television and radio sets?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "484",
"style": "rule"
} | {
"index": 4517,
"need_tools_kwargs": true,
"question": "Let $ABCDE$ be a convex pentagon with $AB \\parallel CE, BC \\parallel AD, AC \\parallel DE, \\angle ABC=120^\\circ, AB=3, BC=5,$ and $DE = 15.$ Given that the ratio between the area of triangle $ABC$ and the area of triangle $EBD$ is $m/n,$ where $m$ and $n$ are relatively prime positive integers, find $m+n.$\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": "Meta",
"style": "rule"
} | {
"index": 4518,
"need_tools_kwargs": true,
"question": "Which company, recently reported by TechCrunch, is not only facing scrutiny for potential non-compliance with GDPR due to its advertising subscription model but is also attempting to shift the oversight of teen social media usage to third parties, and has been accused of having a moderation bias that particularly affects Palestinian users?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Kaala Patthar",
"style": "rule"
} | {
"index": 4519,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Magic Trick (Film) or Kaala Patthar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "mini-marts",
"style": "rule"
} | {
"index": 4520,
"need_tools_kwargs": true,
"question": "The hotel, which is on the first seven floors of the Plaza Towers, features a 24-hour 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": "16.857",
"style": "rule"
} | {
"index": 4521,
"need_tools_kwargs": true,
"question": "Along a yard 600 meters long, 36 trees are planted at equal distances, one tree being at each end of the yard. Additionally, there is an obstacle 250 meters from the starting point, which requires a gap of 10 meters. The trees consist of two species, A and B, and they must be planted in an alternating pattern (ABAB...). What is the distance between two consecutive trees, considering the extra gap needed for the obstacle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "67384",
"style": "rule"
} | {
"index": 4522,
"need_tools_kwargs": true,
"question": "A four-digit number $n$ is said to be \"literally 1434\" if, when every digit is replaced by its remainder when divided by $5$, the result is $1434$. For example, $1984$ is \"literally 1434\" because $1 \\mod 5$ is $1$, $9 \\mod 5$ is $4$, $8 \\mod 5$ is $3$, and $4 \\mod 5$ is $4$. Find the sum of all four-digit positive integers that are \"literally 1434\".",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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, -5)",
"style": "rule"
} | {
"index": 4523,
"need_tools_kwargs": true,
"question": "A rectangle has side lengths 3 and 4. One of its vertices is at the point \\((1,2)\\). Which of the following could not be the coordinates of one of its other vertices?\n(A) \\((-3,-1)\\)\n(B) \\((1,-5)\\)\n(C) \\((5,-1)\\)\n(D) \\((-2,6)\\)\n(E) \\((1,-1)\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{3}",
"style": "rule"
} | {
"index": 4524,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be positive real numbers. Find the minimum value of\n\\[a^2 + ab + b^2 + \\frac{1}{(a+b)^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": "44",
"style": "rule"
} | {
"index": 4525,
"need_tools_kwargs": true,
"question": "54 张扑克牌，将第 1 张扔掉，第 2 张放到最后，第 3 张扔掉，第 4 张放到最后，依次下去，最后手上只剩下一张牌。求这张牌在原来的牌中从上面数的第几张。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Fourteen people died",
"style": "rule"
} | {
"index": 4526,
"need_tools_kwargs": true,
"question": "Ivan Cooper led an anti-internment march which developed into a massacre where how many people died ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{13}{204}",
"style": "rule"
} | {
"index": 4527,
"need_tools_kwargs": true,
"question": "Two cards are dealt from a standard deck of 52 cards. What is the probability that the first card dealt is a $\\diamondsuit$ and the second card dealt is a $\\spadesuit$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "23520",
"style": "rule"
} | {
"index": 4528,
"need_tools_kwargs": true,
"question": "Jonathan discovers that his ideal match is Sara Lark. To increase his chances of finding a girlfriend, he is open to dating any girl whose name is an anagram of \"Sara Lark,\" provided that the name includes both a first and last name with at least one letter each. How many such anagrams are possible?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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^{2004}+2^{2004}",
"style": "rule"
} | {
"index": 4529,
"need_tools_kwargs": true,
"question": "An L shape is made by adjoining three congruent squares. The shape can be subdivided into four smaller L shapes, each of which can in turn be subdivided, and so on. If we perform 2005 successive subdivisions, how many of the \\(4^{2005}\\) L shapes left at the end will have the same orientation as the original one?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Wrestling Grand Prix.",
"style": "rule"
} | {
"index": 4530,
"need_tools_kwargs": true,
"question": "Who is the governing body behind the PPV wrestling event \"The New Beginning in Osaka (2016)\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4531,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $\\{a_n\\}$, $a_3+a_4=4$, $a_5+a_7=6$. \n(I) Find the general formula for $\\{a_n\\}$. \n(II) Let $b_n=\\lfloor a_n \\rfloor$, calculate the sum of the first $10$ terms of the sequence $\\{b_n\\}$, where $\\lfloor x \\rfloor$ denotes the greatest integer less than or equal to $x$, such as $\\lfloor 0.9 \\rfloor=0$, $\\lfloor 2.6 \\rfloor=2$.",
"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": "400",
"style": "rule"
} | {
"index": 4532,
"need_tools_kwargs": true,
"question": "Find the area of rhombus $ABCD$ given that the circumradii of triangles $ABD$ and $ACD$ are $12.5$ and $25$, respectively.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 imperial era",
"style": "rule"
} | {
"index": 4533,
"need_tools_kwargs": true,
"question": "Since when has the dish required to be made in the first round of Time Machine Chefs been prepared?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Carrie Daumery",
"style": "rule"
} | {
"index": 4534,
"need_tools_kwargs": true,
"question": "Who is the mother of the director of film Blind Spot (1932 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": "Son of Electronic Printer",
"style": "rule"
} | {
"index": 4535,
"need_tools_kwargs": true,
"question": "The MOS Technology 6502 8-bit CPU was manufactured by a corporation whose name is an abbreviation 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": "12",
"style": "rule"
} | {
"index": 4536,
"need_tools_kwargs": true,
"question": "In how many ways can 4 distinct beads be placed on a bracelet that has a knot in it? (Beads cannot slide past the knot. Two ways are considered the same if one is a reflection of the other, since we can flip the bracelet over.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "149",
"style": "rule"
} | {
"index": 4537,
"need_tools_kwargs": true,
"question": "The product of three consecutive positive integers is $12$ times their sum. What is the sum of their squares?\n$\\mathrm{(A)}\\ 110 \\qquad\\mathrm{(B)}\\ 121 \\qquad\\mathrm{(C)}\\ 138 \\qquad\\mathrm{(D)}\\ 149 \\qquad\\mathrm{(E)}\\ 162$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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",
"style": "rule"
} | {
"index": 4538,
"need_tools_kwargs": true,
"question": "Let $\\times$ represent the cross product in $\\mathbb{R}^3.$ For what positive integers $n$ does there exist a set $S \\subset \\mathbb{R}^3$ with exactly $n$ elements such that $$S=\\{v \\times w: v, w \\in S\\}?$$ The original answer is in the form of an interval [a, b]. Please give the value of a + b.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(1,7)",
"style": "rule"
} | {
"index": 4539,
"need_tools_kwargs": true,
"question": "Given that $1\\leqslant a\\leqslant 3$ and $-4 < b < 2$, determine the range of values for $a+|b|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{89 + 40\\sqrt{2}}",
"style": "rule"
} | {
"index": 4540,
"need_tools_kwargs": true,
"question": "Sam is hiking in Colorado as well. He starts at his campsite, walks eastward five miles, then turns $45$ degrees northward and walks eight miles. How far is he from his starting point? Express your answer in simplest radical form.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4541,
"need_tools_kwargs": true,
"question": "Are Stalkher and Yamakasi (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... | qa | {
"ground_truth": "\"half\"",
"style": "rule"
} | {
"index": 4542,
"need_tools_kwargs": true,
"question": "My Little Grass Shack in Kealakekua, Hawaii is in a style whose name means 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": "(-2, -5)",
"style": "rule"
} | {
"index": 4543,
"need_tools_kwargs": true,
"question": "No matter what the value of the real number $k$ is, the fixed point through which the line $(2k+1)x+(1-k)y+7-k=0$ always passes is.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{\\pi}{6} + \\arcsin \\left(\\frac{1}{4}\\right)",
"style": "rule"
} | {
"index": 4544,
"need_tools_kwargs": true,
"question": "Three cones with apex $A$ touch each other externally, with the first two cones being identical and the vertex angle of the third cone equal to $2 \\arcsin \\frac{1}{4}$. Each of the cones touches internally a fourth cone with apex at point $A$. Find the vertex angle of the first two cones if it is half that of the fourth cone. (The vertex angle of a cone is the angle between its generatrices in an axial section.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tyson Chandler",
"style": "rule"
} | {
"index": 4545,
"need_tools_kwargs": true,
"question": "Who did the ninth overall pick in the 2007 NBA draft tie with during voting for the 2013 NBA All-Defensive 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... | math | {
"ground_truth": "64.8\\%",
"style": "rule"
} | {
"index": 4546,
"need_tools_kwargs": true,
"question": "In a study of a local pond to investigate the effects of toxic waste from a nearby chemical plant, Francine catches 250 frogs. She observes the following mutations: 32 frogs with extra legs, 21 frogs with 2 heads, 16 frogs that are bright red, 12 frogs with skin abnormalities, and 7 frogs with extra eyes. Calculate the exact percentage of the frogs that display each type of mutation as well as the percentage of frogs that are not mutated.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "30 November 1955",
"style": "rule"
} | {
"index": 4547,
"need_tools_kwargs": true,
"question": "What is the date of birth of the performer of song Catch My Fall?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Markieff Morris",
"style": "rule"
} | {
"index": 4548,
"need_tools_kwargs": true,
"question": "Who was the University of Kansas basketball player who played for the Phoenix Suns with his 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... | math | {
"ground_truth": "\\frac{28}{52}",
"style": "rule"
} | {
"index": 4549,
"need_tools_kwargs": true,
"question": "Does there exist a fraction equivalent to $\\frac{7}{13}$ such that the difference between the denominator and the numerator is 24?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4550,
"need_tools_kwargs": true,
"question": "Are the directors of films Chasing Trouble and Man Mandir both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "13/19",
"style": "rule"
} | {
"index": 4551,
"need_tools_kwargs": true,
"question": "at a small company , 76 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "University of Oklahoma",
"style": "rule"
} | {
"index": 4552,
"need_tools_kwargs": true,
"question": "At which University did the player who was the Indianapolis Colts first ever draft selection play his college football ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4553,
"need_tools_kwargs": true,
"question": "Woody wants to buy a games console that costs $282. He already has $42 and receives a certain amount as an allowance every week. It will take him 10 weeks to save the money he needs for the game console. How much is Woody's weekly allowance?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sin 2\\alpha < 2\\sin \\alpha",
"style": "rule"
} | {
"index": 4554,
"need_tools_kwargs": true,
"question": "If $\\alpha$ is an acute angle, then which of the following is true?\nA: $\\sin 2\\alpha > 2\\sin \\alpha$\nB: $\\sin 2\\alpha < 2\\sin \\alpha$\nC: $\\sin 2\\alpha = 2\\sin \\alpha$\nD: $\\sin 2\\alpha \\geq 2\\sin \\alpha$",
"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": "John Wiley & Sons",
"style": "rule"
} | {
"index": 4555,
"need_tools_kwargs": true,
"question": "The Economic Journal is published by the scholarly publishing business of what company?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Frank Sinatra",
"style": "rule"
} | {
"index": 4556,
"need_tools_kwargs": true,
"question": "Who is the father of the performer of song How Does That Grab You??",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2000998",
"style": "rule"
} | {
"index": 4557,
"need_tools_kwargs": true,
"question": "$x_{n+1}= \\left ( 1+\\frac2n \\right )x_n+\\frac4n$ , for every positive integer $n$ . If $x_1=-1$ , what is $x_{2000}$ ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{64}",
"style": "rule"
} | {
"index": 4558,
"need_tools_kwargs": true,
"question": "$ABCDE$ is inscribed in a circle with $AB = BC = CD = DE = 4$ and $AE = 1.$ Compute $(1 - \\cos \\angle B)(1 - \\cos \\angle ACE).$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lantern Waste",
"style": "rule"
} | {
"index": 4559,
"need_tools_kwargs": true,
"question": "What is the name of the place in The Chronicles of Narnia where Lucy Pevensie and Mr. Tumnus meet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Relapse 2",
"style": "rule"
} | {
"index": 4560,
"need_tools_kwargs": true,
"question": "What was the original planned title for the Eminem album that features the song \"No Love\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Caroline Matilda of Great Britain",
"style": "rule"
} | {
"index": 4561,
"need_tools_kwargs": true,
"question": "What member of the House of Hanover is featured in the book The Visit of the Royal Physician?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1918",
"style": "rule"
} | {
"index": 4562,
"need_tools_kwargs": true,
"question": "When was the gun invented that chambered the same .45 round as the M3 submachine gun?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}{288}",
"style": "rule"
} | {
"index": 4563,
"need_tools_kwargs": true,
"question": "Given the sequence $\\left\\{a_{n}\\right\\}$ defined by\n$$\na_{n}=\\left[(2+\\sqrt{5})^{n}+\\frac{1}{2^{n}}\\right] \\quad (n \\in \\mathbf{Z}_{+}),\n$$\nwhere $[x]$ denotes the greatest integer not exceeding the real number $x$, determine the minimum value of the constant $C$ such that for any positive integer $n$, the following inequality holds:\n$$\n\\sum_{k=1}^{n} \\frac{1}{a_{k} a_{k+2}} \\leqslant C.\n$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8:15",
"style": "rule"
} | {
"index": 4564,
"need_tools_kwargs": true,
"question": "In trapezoid \\(ABCD\\), the bases \\(AD = 16\\) and \\(BC = 9\\) are given. On the extension of \\(BC\\), a point \\(M\\) is chosen such that \\(CM = 3.2\\).\n\nIn what ratio does line \\(AM\\) divide the area of trapezoid \\(ABCD\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"index": 4565,
"need_tools_kwargs": true,
"question": "We rolled ten fair six-sided dice at once, and the product of the numbers rolled was 7776. We know that the highest number rolled appeared only once. What is the sum of the numbers 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... | qa | {
"ground_truth": "US$10.1 billion",
"style": "rule"
} | {
"index": 4566,
"need_tools_kwargs": true,
"question": "Q:How much was the founder of Beal Aerospace worth as of April 2017?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "141",
"style": "rule"
} | {
"index": 4567,
"need_tools_kwargs": true,
"question": "某人抛掷一枚硬币，出现正面向上和反面向上的概率均为 $\\frac{1}{2}$. 构造数列 $\\left\\{a_{n}\\right\\}$ ，使 \n$a_{n}= \\begin{cases}1, & \\text { 第 } n \\text { 次正面向上; } \\\\ -1, & \\text { 第 } n \\text { 次反面向上. }\\end{cases}$ \n记 $S_{n}=a_{1}+a_{2}+\\cdots+a_{n}$. 则 $S_{2} \\neq 0$, 且 $S_{8}=2$的概率为 $\\qquad$ （用最简分数作答）.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-3",
"style": "rule"
} | {
"index": 4568,
"need_tools_kwargs": true,
"question": "Let $S_n$ be the sum of the first $n$ terms of a geometric sequence $\\{a_n\\}$, and $8a_2+a_5=0$. The value of $\\frac{S_3}{S_2}$ is ( )\n\nA: $-3$ \nB: $5$ \nC: $-8$ \nD: $-11$",
"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": "-2 \\leqslant m \\leqslant 0",
"style": "rule"
} | {
"index": 4569,
"need_tools_kwargs": true,
"question": "Given that $α$: $m+1 \\leqslant x \\leqslant 2m+7 (m \\in R)$, and $β$: $1 \\leqslant x \\leqslant 3$, find the range of the real number $m$ if $α$ is a necessary but not sufficient condition for $β$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "February 24, 1880",
"style": "rule"
} | {
"index": 4570,
"need_tools_kwargs": true,
"question": "When is the director of film The Voice In The Fog 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 4571,
"need_tools_kwargs": true,
"question": "For how many integer values of $k$ do the graphs of $x^2 + y^2 = k^2$ and $xy = k$ \\textit{not} intersect?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1963 to 1986",
"style": "rule"
} | {
"index": 4572,
"need_tools_kwargs": true,
"question": "Jon Garth Murray, was the second son of late controversial activist Madalyn Murray O'Hair, was an American activist, founder of American Atheists, and the organization's president, from which span of years?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "r=60, AC=390",
"style": "rule"
} | {
"index": 4573,
"need_tools_kwargs": true,
"question": "A circle $\\Gamma$ with center $I$ is inscribed in a right triangle $ABC$ with $\\angle B = 90^\\circ$. The circle touches sides $AB$ and $BC$ at points $K$ and $L$ respectively. A line passing through point $I$ intersects sides $AB$ and $BC$ at points $M$ and $N$ respectively. The radius of circle $\\Gamma$ is to be found given that $MK = 144$ and $NL = 25$. Find $AC$ if it is additionally known that line $MN$ is parallel to $AC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "691",
"style": "rule"
} | {
"index": 4574,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be perfect squares whose product exceeds their sum by $4844$ . Compute the value of \\[\\left(\\sqrt a + 1\\right)\\left(\\sqrt b + 1\\right)\\left(\\sqrt a - 1\\right)\\left(\\sqrt b - 1\\right) - \\left(\\sqrt{68} + 1\\right)\\left(\\sqrt{63} + 1\\right)\\left(\\sqrt{68} - 1\\right)\\left(\\sqrt{63} - 1\\right).\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 4575,
"need_tools_kwargs": true,
"question": "What is the largest volume of a sphere which touches a unit sphere internally and touches externally a regular tetrahedron whose corners are over the unit sphere? Express your answer as a fraction in the form \\(\\frac{k}{m}\\), and give the value of \\(k + m\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "e",
"style": "rule"
} | {
"index": 4576,
"need_tools_kwargs": true,
"question": "For every positive real number $x$ , let\n\\[\ng(x)=\\lim_{r\\to 0} ((x+1)^{r+1}-x^{r+1})^{\\frac{1}{r}}.\n\\]\nFind $\\lim_{x\\to \\infty}\\frac{g(x)}{x}$ .\n\n<details><summary>Solution</summary>By the Binomial Theorem one obtains $\\lim_{x \\to \\infty} \\lim_{r \\to 0} \\left((1+r)+\\frac{(1+r)r}{2}\\cdot x^{-1}+\\frac{(1+r)r(r-1)}{6} \\cdot x^{-2}+\\dots \\right)^{\\frac{1}{r}}$ $=\\lim_{r \\to 0}(1+r)^{\\frac{1}{r}}=\\boxed{e}$</details>",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sierra High School.",
"style": "rule"
} | {
"index": 4577,
"need_tools_kwargs": true,
"question": "Where did Adore Delano attend high school?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4578,
"need_tools_kwargs": true,
"question": "In the interval $[1,1000]$, select $\\mathrm{n}$ different numbers $\\mathrm{a}_{1}, \\mathrm{a}_{2}, \\ldots, \\mathrm{a}_{n}$. There always exist two numbers $\\mathrm{a}_{i}, \\mathrm{a}_{j}$ such that $0 < \\left|a_{i} - a_{j}\\right| < 1 + 3 \\sqrt[3]{a_{i} a_{j}}$. Find the smallest possible value of $n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1912",
"style": "rule"
} | {
"index": 4579,
"need_tools_kwargs": true,
"question": "The first of the Simon Bloom books was optioned by a company founded 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": "Gerard Smyth",
"style": "rule"
} | {
"index": 4580,
"need_tools_kwargs": true,
"question": "What member of the Celtic nation began publish poetry in the late 1960's in the New Irish Writing Page of The Irish Press?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{S \\sqrt{S}}{3}",
"style": "rule"
} | {
"index": 4581,
"need_tools_kwargs": true,
"question": "The base of a pyramid is a rectangle with an area of \\( S \\). Two of the lateral faces are perpendicular to the base, and the other two are inclined at angles of \\( 30^{\\circ} \\) and \\( 60^{\\circ} \\) to the base. Find the volume of the pyramid.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Dark Avenger",
"style": "rule"
} | {
"index": 4582,
"need_tools_kwargs": true,
"question": "Which film came out earlier, Hababam Sınıfı Tatilde or The Dark Avenger?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(0,0,3)",
"style": "rule"
} | {
"index": 4583,
"need_tools_kwargs": true,
"question": "Convert the point $(\\rho,\\theta,\\phi) = \\left( 3, \\frac{5 \\pi}{12}, 0 \\right)$ in spherical coordinates to rectangular coordinates.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}{2}, \\frac{1}{4}",
"style": "rule"
} | {
"index": 4584,
"need_tools_kwargs": true,
"question": "Find all possible values of $\\frac{d}{a}$ where $a^{2}-6 a d+8 d^{2}=0, a \\neq 0$.",
"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": "(3,-1)",
"style": "rule"
} | {
"index": 4585,
"need_tools_kwargs": true,
"question": "What is the ordered pair of integers $(x,y)$ for which $12x + 21y = 15$ and $21x + 12y = 51$?",
"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... | qa | {
"ground_truth": "10 October 1470",
"style": "rule"
} | {
"index": 4586,
"need_tools_kwargs": true,
"question": "When is Suleiman The Magnificent's father's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(216, 36, 6)",
"style": "rule"
} | {
"index": 4587,
"need_tools_kwargs": true,
"question": "The dividend is six times greater than the divisor, and the divisor is six times greater than the quotient. What are the values of the dividend, the divisor, and the quotient?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4588,
"need_tools_kwargs": true,
"question": "Find all possible values of integer $n > 3$ such that there is a convex $n$-gon in which each diagonal is the perpendicular bisector of at least one other diagonal.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "x = -30",
"style": "rule"
} | {
"index": 4589,
"need_tools_kwargs": true,
"question": "Solve for $x$: $5 + 3.5x = 2.5x - 25$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Fabian Nicieza",
"style": "rule"
} | {
"index": 4590,
"need_tools_kwargs": true,
"question": "This character appeared in comics published by Marvel, one of his adversaries were Flag-Smasher and was created by Rob Liefeld. Who was the other creatore of this character?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1/76",
"style": "rule"
} | {
"index": 4591,
"need_tools_kwargs": true,
"question": "Each of the integers from -9 to 9, inclusive, is written on a separate slip of blank paper, and the nineteen slips are dropped into a hat. If 6 of the slips are drawn, without replacement, what is the probability that all 6 have an even number written on them?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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^\\circ",
"style": "rule"
} | {
"index": 4592,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, angle $ACB$ is 50 degrees, and angle $CBA$ is 70 degrees. Let $D$ be the foot of the perpendicular from $A$ to $BC$, $O$ the center of the circle circumscribed about triangle $ABC$, and $E$ the other end of the diameter which goes through $A$. Find the angle $DAE$, in degrees.\n\n[asy]\n\nunitsize(1.5 cm);\n\npair A, B, C, D, E, O;\n\nA = dir(90);\n\nB = dir(90 + 100);\n\nC = dir(90 - 140);\n\nD = (A + reflect(B,C)*(A))/2;\n\nE = -A;\n\nO = (0,0);\n\ndraw(Circle(O,1));\n\ndraw(A--B--C--cycle);\n\ndraw(A--D);\n\ndraw(A--E,dashed);\n\nlabel(\"$A$\", A, N);\n\nlabel(\"$B$\", B, W);\n\nlabel(\"$C$\", C, SE);\n\nlabel(\"$D$\", D, SW);\n\nlabel(\"$E$\", E, S);\n\ndot(\"$O$\", O, dir(0));\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... | math | {
"ground_truth": "930",
"style": "rule"
} | {
"index": 4593,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a_n\\}$, $a_1=1$, $a_{n+2}+(-1)^{n}a_{n}=2$. Let $S_n$ be the sum of the first $n$ terms of the sequence $\\{a_n\\}$. Then, $S_{60}=$ ______.",
"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": "Canadian",
"style": "rule"
} | {
"index": 4594,
"need_tools_kwargs": true,
"question": "What nationality was the actress who co-starred with Peter Breck in \"Hootenanny Hoot\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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, 6]",
"style": "rule"
} | {
"index": 4595,
"need_tools_kwargs": true,
"question": "Given the line \\( L: x + y - 9 = 0 \\) and the circle \\( M: 2x^2 + 2y^2 - 8x - 8y - 1 = 0 \\), point \\( A \\) is on line \\( L \\), and points \\( B \\) and \\( C \\) are on circle \\( M \\). In triangle \\( \\triangle ABC \\), \\(\\angle BAC = 45^\\circ\\) and \\( AB \\) passes through the center of circle \\( M \\). Then, the range of the x-coordinate of point \\( A \\) 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... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 4596,
"need_tools_kwargs": true,
"question": "Are the movies The Promotion and Of Mind And Music, 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": "Rome",
"style": "rule"
} | {
"index": 4597,
"need_tools_kwargs": true,
"question": "Where did the director of film Disorder (1962 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": "12",
"style": "rule"
} | {
"index": 4598,
"need_tools_kwargs": true,
"question": "设 \\overrightarrow{a},\\overrightarrow{b} 为两个垂直的平面向量，且 |\\overrightarrow{a}|=2|\\overrightarrow{b}|=10. 当 0\\leq t\\leq 1 时，记向量 t\\overrightarrow{a}+(1-t)\\overrightarrow{b} 与向量 (t-\\frac{1}{5})\\overrightarrow{a}+(1-t)\\overrightarrow{b} 最大夹角为 \\theta，则 \\cos\\theta 的答案形如 \\frac{k\\sqrt{m}}{n}，请给出 k+m+n 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{\\sin(7\\phi)}{\\sin(2\\phi)}",
"style": "rule"
} | {
"index": 4599,
"need_tools_kwargs": true,
"question": "In parallelogram $EFGH$, the angles $EFG$ and $HGF$ are three times as large as angle $HGE$, and angle $EGF$ is $s$ times as large as angle $EOH$, where $O$ is the intersection of diagonals $EG$ and $FH$. Find $s.$",
"split": "train"
} | null |
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