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": "0.51",
"style": "rule"
} | {
"index": 3300,
"need_tools_kwargs": true,
"question": "Suppose the probability of schemes A and B both passing in one trial is 0.3, and the two schemes do not affect each other during the trial. Then, the probability that at least one of the schemes passes in one trial 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": "1}^{k}b_{i}\\sqrt{a_{i}}\\neq0",
"style": "rule"
} | {
"index": 3301,
"need_tools_kwargs": true,
"question": "Let \\( a_{1}, a_{2}, \\cdots, a_{k} \\) be \\( k \\) different positive integers, none of which contain any square factors (one 1 is allowed). Then, for any non-zero rational numbers \\( b_{1}, b_{2}, \\cdots, b_{k} \\), we have \\( \\sum_{i=1}^{k} b_{i} \\sqrt{a_{i}} \\neq 0 \\). Note: A positive integer \\( n \\) is said to not contain square factors if there does not exist an integer \\( d > 1 \\) such that \\( d^2 \\) divides \\( 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": "7",
"style": "rule"
} | {
"index": 3302,
"need_tools_kwargs": true,
"question": "In the addition shown below, a digit, either the same or different, can be placed in each of the two boxes. Determine the sum of the two missing digits.\n\n\\[\n\\begin{array}{cccc}\n & 7 & \\square & 8 \\\\\n\\overline{2 & 1 & 8 & 2} \\\\\n8 & 6 & 3 \\\\\n & \\square & 9 & 1 \\\\\n\\end{array}\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": "Woman on Trial: The Lawrencia Bembenek Story",
"style": "rule"
} | {
"index": 3303,
"need_tools_kwargs": true,
"question": "What is the name of the Ari Madger movie about an American former police officer convicted of murdering her husband's ex-wife? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{3}{5}",
"style": "rule"
} | {
"index": 3304,
"need_tools_kwargs": true,
"question": "A parking lot has 16 spaces in a row. Twelve cars arrive, each of which requires one parking space, and their drivers chose spaces at random from among the available spaces. Auntie Em then arrives in her SUV, which requires 2 adjacent spaces. What is the probability that she is able to park?\n$\\textbf{(A)} \\; \\frac {11}{20} \\qquad \\textbf{(B)} \\; \\frac {4}{7} \\qquad \\textbf{(C)} \\; \\frac {81}{140} \\qquad \\textbf{(D)} \\; \\frac {3}{5} \\qquad \\textbf{(E)} \\; \\frac {17}{28}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Premiere Networks",
"style": "rule"
} | {
"index": 3305,
"need_tools_kwargs": true,
"question": "Rollye James is a talk show host who was a guest host on a late night talk show that airs from 1:00 am - 5:00 am, and is distributed by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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\\cdot3\\cdot7\\cdot13\\cdot29\\cdot59\\cdot61\\cdot191",
"style": "rule"
} | {
"index": 3306,
"need_tools_kwargs": true,
"question": "Find the prime factorization of\n$$\n2006^{2} \\cdot 2262-669^{2} \\cdot 3599+1593^{2} \\cdot 1337.\n$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 3307,
"need_tools_kwargs": true,
"question": "For how many values of the digit $B$ is it true that $45$ is divisible by $B$ and $451{,}B7$ is divisible by $3$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "is an American sportscaster, radio personality, and actor from Mason, Ohio.",
"style": "rule"
} | {
"index": 3308,
"need_tools_kwargs": true,
"question": "The Big JAB Middays feature Jim Rome and another whom is known 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": "143",
"style": "rule"
} | {
"index": 3309,
"need_tools_kwargs": true,
"question": "Determine the distinct digits \\( A, B, C \\) if the number formed by \"$\\overline{AB}$ (integer part) and \\( C \\) (decimal part)\", when multiplied by \\( C \\) and then rounded to the nearest integer, results in the number \\(\\overline{BC}\\): \\(\\overline{A B, C} \\cdot C \\approx \\overline{B C}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{V \\cdot n}{S}",
"style": "rule"
} | {
"index": 3310,
"need_tools_kwargs": true,
"question": "Given a regular $n$-sided prism, where the area of the base is $S$. Two planes intersect all the lateral edges of the prism in such a way that the volume of the part of the prism between the planes is $V$. Find the sum of the lengths of the segments of the lateral edges of the prism that are enclosed between the planes, given that the planes do not have any common points inside the prism.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 3311,
"need_tools_kwargs": true,
"question": "The largest fraction in the set \\(\\left\\{\\frac{1}{2}, \\frac{1}{3}, \\frac{1}{4}, \\frac{1}{5}, \\frac{1}{10}\\right\\}\\) is:\n(A) \\(\\frac{1}{2}\\)\n(B) \\(\\frac{1}{3}\\)\n(C) \\(\\frac{1}{4}\\)\n(D) \\(\\frac{1}{5}\\)\n(E) \\(\\frac{1}{10}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lee Jun-ho",
"style": "rule"
} | {
"index": 3312,
"need_tools_kwargs": true,
"question": "Which member of the South Korean boy band 2PM is in the Korean television drama Good Manager?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 24, 936",
"style": "rule"
} | {
"index": 3313,
"need_tools_kwargs": true,
"question": "When was Samsam Al-Dawla's father 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": "Columbia Records",
"style": "rule"
} | {
"index": 3314,
"need_tools_kwargs": true,
"question": "The song that is about a soul with incarnations in four different places in time and history is a single that is recorded by what record 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": "singer, songwriter",
"style": "rule"
} | {
"index": 3315,
"need_tools_kwargs": true,
"question": "What professions did Martin Johnson and Neil Tennant share?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Marriage In The Shadows",
"style": "rule"
} | {
"index": 3316,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, The Basque Ball: Skin Against Stone or Marriage In The Shadows?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Coram",
"style": "rule"
} | {
"index": 3317,
"need_tools_kwargs": true,
"question": "Which hamlet in Suffolk County, New York is part of District 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": "80",
"style": "rule"
} | {
"index": 3318,
"need_tools_kwargs": true,
"question": "In rhombus \\(ABCD\\), points \\(E\\) and \\(F\\) are chosen on sides \\(BC\\) and \\(CD\\) respectively such that \\(AB = AE = AF = EF\\). Given that \\(FC, DF, BE, EC > 0\\), determine the measure of \\(\\angle ABC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{81}{512}",
"style": "rule"
} | {
"index": 3319,
"need_tools_kwargs": true,
"question": "A $3 \\times 3$ square is divided into $9$ unit squares, each of which is painted either white or black, with each color being equally likely and chosen independently at random. After the square is rotated $180^\\circ$ about its center, every white square that is adjacent to or in a position formerly occupied by a black square is painted black. Determine the probability that the entire grid is black after these operations.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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",
"style": "rule"
} | {
"index": 3320,
"need_tools_kwargs": true,
"question": "已知 $|\\mathrm{z}|=1, \\mathrm{zx}^{2}+2 \\overline{\\mathrm{z}} \\mathrm{x}+2=0$，求 $z$ 的虚部的所有可能值。如果答案有多个，请用逗号分隔。答案的形式为\\frac{\\sqrt{m}}{n}, -\\frac{\\sqrt{m}}{n}, \\frac{p}{q}，请计算m+n+p+q的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "$268 million",
"style": "rule"
} | {
"index": 3321,
"need_tools_kwargs": true,
"question": "Emma Rose Kenney's roll in a Blue Sky Studios produced film earned how much money?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "January 6, 1949",
"style": "rule"
} | {
"index": 3322,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Tortilla Flat (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": "between the Adelaide Oval, War Memorial Drive, King William Road and St Peter's Cathedral",
"style": "rule"
} | {
"index": 3323,
"need_tools_kwargs": true,
"question": "Where are the Creswell Gardens located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2 \\times 2 \\times 3",
"style": "rule"
} | {
"index": 3324,
"need_tools_kwargs": true,
"question": "Which of the following expressions, when it replaces the symbol $\\Omega$, makes the equation $\\Omega \\times \\Omega=2 \\times 2 \\times 2 \\times 2 \\times 3 \\times 3$ correct?\n\nA) 2 \nB) 3 \nC) $2 \\times 3$ \nD) $2 \\times 3 \\times 3$ \nE) $2 \\times 2 \\times 3$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Elzie Crisler Segar.",
"style": "rule"
} | {
"index": 3325,
"need_tools_kwargs": true,
"question": "Who created the character, of whom, Captain Strong is a parody ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1185",
"style": "rule"
} | {
"index": 3326,
"need_tools_kwargs": true,
"question": "Given that \\( n! \\), in decimal notation, has exactly 57 ending zeros, find the sum of all possible values 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": "Alexander Graham Bell Fairchild",
"style": "rule"
} | {
"index": 3327,
"need_tools_kwargs": true,
"question": "What was the name of the entomologist and grandson of the Scottish-born scientist, inventor, engineer, and innovator who is credited with patenting the first practical telephone?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3328,
"need_tools_kwargs": true,
"question": "Do both directors of films Violins At The Ball and Superman Iv: The Quest For Peace share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-2",
"style": "rule"
} | {
"index": 3329,
"need_tools_kwargs": true,
"question": "On the set of solutions to the system of constraints\n\n$$\n\\left\\{\\begin{array}{l}\n2-2 x_{1}-x_{2} \\geqslant 0 \\\\\n2-x_{1}+x_{2} \\geqslant 0 \\\\\n5-x_{1}-x_{2} \\geqslant 0 \\\\\nx_{1} \\geqslant 0, \\quad x_{2} \\geqslant 0\n\\end{array}\\right.\n$$\n\nfind the minimum value of the function $F = x_{2} - x_{1}$.",
"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... | qa | {
"ground_truth": "Los Angeles",
"style": "rule"
} | {
"index": 3330,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Fangs Of Justice?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "London",
"style": "rule"
} | {
"index": 3331,
"need_tools_kwargs": true,
"question": "Where was the director of film Old Bill Through The Ages 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": "Workers' Party of Korea",
"style": "rule"
} | {
"index": 3332,
"need_tools_kwargs": true,
"question": " \"On-the-spot guidance\" is a practice which has been made use of by the Chairman of what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "23 April 1992",
"style": "rule"
} | {
"index": 3333,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Jana Aranya?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 22, 1878",
"style": "rule"
} | {
"index": 3334,
"need_tools_kwargs": true,
"question": "When was the director of film Jiraiya The Hero 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": "2011",
"style": "rule"
} | {
"index": 3335,
"need_tools_kwargs": true,
"question": "In a game similar to three card monte, the dealer places three cards on the table: the queen of spades and two red cards. The cards are placed in a row, and the queen starts in the center; the card configuration is thus RQR. The dealer proceeds to move. With each move, the dealer randomly switches the center card with one of the two edge cards (so the configuration after the first move is either RRQ or QRR). What is the probability that, after 2004 moves, the center card is the queen? The answer is in the form \\frac{k}{m} + \\frac{n}{p*2^q}. Please calculate the value of k + m + n + p + q.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "U.S. President Bill Clinton",
"style": "rule"
} | {
"index": 3336,
"need_tools_kwargs": true,
"question": "What united states president had a cat named socks?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3337,
"need_tools_kwargs": true,
"question": "Find the largest value of the expression\n\\[xy+x\\sqrt{1-x^2}+y\\sqrt{1-y^2}-\\sqrt{(1-x^2)(1-y^2)}\\]\nIf the values of x and y are in the format x = \\frac{\\sqrt{k}}{m} and y = n, please give the value of k + 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": "British pavilion",
"style": "rule"
} | {
"index": 3338,
"need_tools_kwargs": true,
"question": "O Canada! is a movie at a pavillion located next to what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Seinan Gakuin University",
"style": "rule"
} | {
"index": 3339,
"need_tools_kwargs": true,
"question": "Where did the performer of song Escape (Misia Song) study?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "edema",
"style": "rule"
} | {
"index": 3340,
"need_tools_kwargs": true,
"question": "Why did Mary Of Waltham's mother die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Johann Christoph Pepusch",
"style": "rule"
} | {
"index": 3341,
"need_tools_kwargs": true,
"question": "A version of \"Over the Hills and Far Away\" appears in an opera with music arranged by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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^{39}",
"style": "rule"
} | {
"index": 3342,
"need_tools_kwargs": true,
"question": "Find a power of 2 with a natural exponent that ends in three identical digits.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1512",
"style": "rule"
} | {
"index": 3343,
"need_tools_kwargs": true,
"question": "Define a \"Shenma number\" as a five-digit number where the middle digit is the smallest, the digits increase as they move away from the middle, and all the digits are different. How many such five-digit numbers can be formed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3344,
"need_tools_kwargs": true,
"question": "Are director of film Sunny (1941 film) and director of film Lonesome Jim 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": "Prague",
"style": "rule"
} | {
"index": 3345,
"need_tools_kwargs": true,
"question": "Where was the director of film Matouš The Cobbler 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": "September 11, 1932",
"style": "rule"
} | {
"index": 3346,
"need_tools_kwargs": true,
"question": "When was the U.S. politician from Oregon born to challenge whom the Oregon Citizens Alliance was founded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 3347,
"need_tools_kwargs": true,
"question": "Let \\(S\\) be the set of all points \\((x,y)\\) in the coordinate plane such that \\(0 \\le x \\le \\frac{\\pi}{2}\\) and \\(0 \\le y \\le \\frac{\\pi}{2}\\). Find the area of the subset of \\(S\\) for which \n\\[\n\\sin^2x-\\sin x \\sin y + \\sin^2y \\le \\frac{3}{4}.\n\\]\nThe answer is in the form \\(\\frac{k\\pi^2}{m}\\). Please calculate 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": "105",
"style": "rule"
} | {
"index": 3348,
"need_tools_kwargs": true,
"question": "A group of soldiers form a three-layer hollow square formation with 9 extra soldiers. If one more layer is added to the hollow part, there will be a shortage of 7 soldiers. How many soldiers are there in the group?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "506",
"style": "rule"
} | {
"index": 3349,
"need_tools_kwargs": true,
"question": "$A \\pm1-sequence$ is a sequence of 2022 numbers $a_{1},\\ldots,a_{2022}$, each equal to either +1 or -1. Determine the largest $C$ so that, for any $\\pm1$ sequence, there exists an integer $k$ and indices $1\\leqslant t_{1}<\\ldots<t_{k}\\leqslant2022$ so that $t_{i+1}-t_{i}\\leqslant2$ for all $i$, and $$\\left|\\sum_{i=1}^ka_{t_i}\\right|\\geqslant C.$$ Please provide the value of C.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Adelphi Theatre",
"style": "rule"
} | {
"index": 3350,
"need_tools_kwargs": true,
"question": "In which theatre of New York City did a play, described as Marxism but using the figure from a Christmas pantomime in the United Kingdom, perform?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12000",
"style": "rule"
} | {
"index": 3351,
"need_tools_kwargs": true,
"question": "What is the value of \n\\[\\left(\\sum_{k=1}^{15} \\log_{7^k} 4^{k^2}\\right)\\cdot\\left(\\sum_{k=1}^{50} \\log_{16^k} 49^k\\right)?\\]\nA. $10000$\nB. $12000$\nC. $14000$\nD. $16000$\nE. $18000$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.0596",
"style": "rule"
} | {
"index": 3352,
"need_tools_kwargs": true,
"question": "A 50-card deck consists of 4 cards labeled \"i\" for i = 1, 2, ..., 12 and 2 cards labeled \"13\". If Bob randomly chooses 2 cards from the deck without replacement, what is the probability that his 2 cards have the same label?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "B: (1, 4)",
"style": "rule"
} | {
"index": 3353,
"need_tools_kwargs": true,
"question": "Given that $a > 0$ and $a \\neq 1$, the graph of the function $y = a^{x - 1} + 3$ must pass through which point?\nA: $(4, 1)$\nB: $(1, 4)$\nC: $(1, 3)$\nD: $(-1, 3)$",
"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": "3024",
"style": "rule"
} | {
"index": 3354,
"need_tools_kwargs": true,
"question": "Three circles \\(\\omega_1, \\omega_2, \\omega_3\\) with a radius of 36 touch each other externally. On each circle, a point \\(P_1, P_2, P_3\\) is chosen respectively, such that \\(P_1P_2 = P_2P_3 = P_3P_1\\), and \\(P_1P_2\\) touches \\(\\omega_2\\), \\(P_2P_3\\) touches \\(\\omega_3\\), and \\(P_3P_1\\) touches \\(\\omega_1\\). The area of the triangle \\(P_1P_2P_3\\) can be expressed as \\(\\sqrt{a} + \\sqrt{b}\\), where \\(a\\) and \\(b\\) are natural numbers. Find the value of \\(a + b\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "28th",
"style": "rule"
} | {
"index": 3355,
"need_tools_kwargs": true,
"question": "Which District was the niece of Martin Luther King Jr. the representative for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Twelve Pound Look",
"style": "rule"
} | {
"index": 3356,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Ah! La Barbe or The Twelve Pound Look?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 3357,
"need_tools_kwargs": true,
"question": "Alice, Beth, Charlie, Daniel, and Ellen take a test with forty questions. Alice and Beth together get the same number of questions wrong as Charlie, Daniel, and Ellen together. Alice and Daniel together get three more questions wrong than Beth and Charlie do together. If Charlie gets six questions wrong, and Daniel eight questions wrong, how many questions does Alice get wrong?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{4}{5}",
"style": "rule"
} | {
"index": 3358,
"need_tools_kwargs": true,
"question": "Ellipse $\\frac{x^{2}}{4} + y^{2} = 1$ has any two points $P$ and $Q$ on it, and $O$ is the origin of coordinates. If $OP \\perp OQ$, then the minimum area of triangle $POQ$ is $\\qquad$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3359,
"need_tools_kwargs": true,
"question": "In the game of Rorrim 2, a counter is placed in one corner of a $4 \\times 4$ board. The player can move the counter to a cell that is the reflection of its current cell across one of the six dashed lines. If the counter starts at the cell $(1,1)$, how many distinct cells could the counter occupy after precisely three turns?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{4}",
"style": "rule"
} | {
"index": 3360,
"need_tools_kwargs": true,
"question": "Call a simple graph \\( G \\) quasi-colorable if we can color each edge blue, red, green, and white such that\n- for each vertex \\( v \\) of degree 3 in \\( G \\), the three edges containing \\( v \\) as an endpoint are either colored blue, red, and green, or all three edges are white,\n- not all edges are white.\n\nA connected graph \\( G \\) has \\( a \\) vertices of degree 4, \\( b \\) vertices of degree 3, and no other vertices, where \\( a \\) and \\( b \\) are positive integers. Find the smallest real number \\( c \\) so that the following statement is true: \"If \\( \\frac{a}{b} > c \\), then \\( G \\) is quasi-colorable.\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}",
"style": "rule"
} | {
"index": 3361,
"need_tools_kwargs": true,
"question": "Given that \\(a_{1}, a_{2}, \\cdots, a_{n}\\) are \\(n\\) people corresponding to \\(A_{1}, A_{2}, \\cdots, A_{n}\\) cards (\\(n \\geq 2\\), \\(a_{i}\\) corresponds to \\(A_{i}\\)). Now \\(a_{1}\\) picks a card from the deck randomly, and then each person in sequence picks a card. If their corresponding card is still in the deck, they take it, otherwise they pick a card randomly. What is the probability that \\(a_{n}\\) gets \\(A_{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": "\\cos^{-1}\\left(\\frac{14\\sqrt{340}}{340}\\right)",
"style": "rule"
} | {
"index": 3362,
"need_tools_kwargs": true,
"question": "Find the angle, in degrees, between the vectors $\\begin{pmatrix} 4 \\\\ -2 \\end{pmatrix}$ and $\\begin{pmatrix} 5 \\\\ 3 \\end{pmatrix}.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 3363,
"need_tools_kwargs": true,
"question": "Determine the number of integer pairs (m, n) such that $m^2 + 1954 = n^2$. Provide the count of such pairs.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3364,
"need_tools_kwargs": true,
"question": "Are both directors of films Sang Pencerah and Sena/Quina, La Inmortalidad Del Cangrejo 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": "Paradise, Nevada",
"style": "rule"
} | {
"index": 3365,
"need_tools_kwargs": true,
"question": "What city did Cirque du Soleil perform their resident show \"Love\" 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": "Bakare",
"style": "rule"
} | {
"index": 3366,
"need_tools_kwargs": true,
"question": "What is the prenomen or royal name of the ancient ruler of Egypt and a kingdom at the confluences of the Blue Nile, White Nile, and River Atbara?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3367,
"need_tools_kwargs": true,
"question": "Find the smallest positive interger number $n$ such that there exists $n$ real numbers $a_1,a_2,\\ldots,a_n$ satisfied three conditions as follow:\na. $a_1+a_2+\\cdots+a_n>0$ ;\nb. $a_1^3+a_2^3+\\cdots+a_n^3<0$ ;\nc. $a_1^5+a_2^5+\\cdots+a_n^5>0$ .",
"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... | qa | {
"ground_truth": "Amsoil Inc.",
"style": "rule"
} | {
"index": 3368,
"need_tools_kwargs": true,
"question": "What corporation based in Superior, Wisconsin sponsored the 2010 AMA Pro Supersport Championship?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "255",
"style": "rule"
} | {
"index": 3369,
"need_tools_kwargs": true,
"question": "When Eva counts, she skips all numbers containing a digit divisible by 3. For example, the first ten numbers she counts are 1, 2, 4, 5, 7, 8, 11, 12, 14, 15. What is the $100^{\\text{th}}$ number she counts?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Buenos Aires",
"style": "rule"
} | {
"index": 3370,
"need_tools_kwargs": true,
"question": "Where was the director of film The Tango Returns To Paris 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": "July 13, 1954",
"style": "rule"
} | {
"index": 3371,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film A Medal For Benny?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3372,
"need_tools_kwargs": true,
"question": "Find the largest positive integer $n$ with the following property: there are rectangles $A_1, \\ldots, A_n$ and $B_1, \\ldots, B_n$ on the plane, each with sides parallel to the axis of the coordinate system, such that the rectangles $A_i$ and $B_i$ are disjoint for all $i \\in \\{1, \\ldots, n\\}$, but the rectangles $A_i$ and $B_j$ have a common point for all $i, j \\in \\{1, \\ldots, n\\}$, $i \\ne j$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3373,
"need_tools_kwargs": true,
"question": "The effective annual rate of interest corresponding to a nominal rate of 10% per annum payable at a certain frequency is 10.25%. What is the frequency of interest payment?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "112",
"style": "rule"
} | {
"index": 3374,
"need_tools_kwargs": true,
"question": "Ten teams of five runners each compete in a cross-country race. A runner finishing in $n$th place contributes $n$ points to his team, and there are no ties. The team with the lowest score wins. Assuming the first place team does not have the same score as any other team, how many winning scores 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... | qa | {
"ground_truth": "Ronald Wilson Reagan",
"style": "rule"
} | {
"index": 3375,
"need_tools_kwargs": true,
"question": "Frank Hodsoll was appointed to the chairmanship of the NEA by which 40th President?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Married to the Mob",
"style": "rule"
} | {
"index": 3376,
"need_tools_kwargs": true,
"question": "What soundtrack did singer of \"Nothing Compares 2 U\" contribute to?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"Beauty Queen\"",
"style": "rule"
} | {
"index": 3377,
"need_tools_kwargs": true,
"question": "Hindi film actresses and the wife of the film actor Dilip Kumar is the daughter of Naseem Banu, known as what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Arthur Pue Gorman",
"style": "rule"
} | {
"index": 3378,
"need_tools_kwargs": true,
"question": "What is the name of first contractor of the oldest railroad in the United States' son, who became a pioneer in American Baseball?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{4}{5}",
"style": "rule"
} | {
"index": 3379,
"need_tools_kwargs": true,
"question": "In the given configuration, triangle $ABC$ has a right angle at $C$, with $AC=4$ and $BC=3$. Triangle $ABE$ has a right angle at $A$ where $AE=5$. The line through $E$ parallel to $\\overline{AC}$ meets $\\overline{BC}$ extended at $D$. Calculate the ratio $\\frac{ED}{EB}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left( 2, -\\frac{55}{8} \\right)",
"style": "rule"
} | {
"index": 3380,
"need_tools_kwargs": true,
"question": "Find the focus of the parabola $y = 2x^2 - 8x + 1$.",
"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": "\\$23.33",
"style": "rule"
} | {
"index": 3381,
"need_tools_kwargs": true,
"question": "Sandy bought 65 books for $1380 from Shop A, which had a 15% discount on the total cost. She then bought 55 books for €900 from Shop B, which had a 10% discount on the total cost. If the conversion rate is 1 USD = 0.85 EUR, what is the average price that Sandy paid per book in US dollars?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 3382,
"need_tools_kwargs": true,
"question": "Bernardo and Silvia play a game where an integer between 0 and 999 inclusive is selected and given to Bernardo. He doubles the number and passes it to Silvia, who then adds 50 to it and returns the result to Bernardo. The game continues until one player produces a number that exceeds 999. Determine the smallest initial number \\( N \\) that allows Bernardo to win the game. After finding \\( N \\), calculate the sum of its digits.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Tyler \"Ty\" Mendoza",
"style": "rule"
} | {
"index": 3383,
"need_tools_kwargs": true,
"question": "What role on \"Switched at Birth\" was played by the actor who is being replaced by Daniel Hall on \"The Young and the Restless\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3384,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Vice Squad (1982 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": "tourism during summer months",
"style": "rule"
} | {
"index": 3385,
"need_tools_kwargs": true,
"question": "Why is Funtown Splashtown USA such an important part of Saco, Maine?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-1,2)",
"style": "rule"
} | {
"index": 3386,
"need_tools_kwargs": true,
"question": "If for any real number $k$, the line $(3+k)x + (1-2k)y + 1 + 5k = 0$ always passes through a fixed point $A$, then the coordinates of point $A$ are____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 18, 1982",
"style": "rule"
} | {
"index": 3387,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Sex Madness?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Spirit in the Sky",
"style": "rule"
} | {
"index": 3388,
"need_tools_kwargs": true,
"question": "Which covered song, whose original version was released in 1969, was featured in Nina Hagen in Ekstasy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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, 13, 19",
"style": "rule"
} | {
"index": 3389,
"need_tools_kwargs": true,
"question": "Is it possible to find four different natural numbers, each of which is not divisible by 2, 3, or 4, but the sum of any two is divisible by 2, the sum of any three is divisible by 3, and the sum of all four is divisible by 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": "yes",
"style": "rule"
} | {
"index": 3390,
"need_tools_kwargs": true,
"question": "Are both villages, Asb-E Shur Pey and Qalandar-E Laki, 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": "Liberace",
"style": "rule"
} | {
"index": 3391,
"need_tools_kwargs": true,
"question": "Ellen Mirojnick worked on the film about which pianist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "73",
"style": "rule"
} | {
"index": 3392,
"need_tools_kwargs": true,
"question": "The sum $10 e^{2 \\pi i/11} + 10 e^{15 \\pi i/22}$ is expressed as $re^{i \\theta}.$ The original answer is in the form of $(k \\sqrt{2}, \\frac{m \\pi}{n})$. Please give the value of k + m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "67",
"style": "rule"
} | {
"index": 3393,
"need_tools_kwargs": true,
"question": "Let \\( \\{x\\} \\) denote the fractional part of \\( x \\). For example, \\( \\{5.5\\} = 0.5 \\). Find the smallest prime \\( p \\) such that the inequality \\[ \\sum_{n=1}^{p^2}\\left\\{\\frac{n^p}{p^2}\\right\\} > 2016 \\] holds.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3394,
"need_tools_kwargs": true,
"question": "Do both films Mary Tudor (1911 Film) and House Of The Dead (Film) have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1102",
"style": "rule"
} | {
"index": 3395,
"need_tools_kwargs": true,
"question": "What is the date of death of Hugh Vii Of Lusignan'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": "\"The White Queen\"",
"style": "rule"
} | {
"index": 3396,
"need_tools_kwargs": true,
"question": "What 2013 film starred the actor who had a role in a 2014 British drama film directed by Lone Scherfig?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1330",
"style": "rule"
} | {
"index": 3397,
"need_tools_kwargs": true,
"question": "A set of teams held a round-robin tournament in which every team played every other team exactly once. Every team won $10$ games and lost $10$ games; there were no ties. How many sets of three teams $\\{A, B, C\\}$ were there in which $A$ beat $B$, $B$ beat $C$, and $C$ beat $A?$\n$\\textbf{(A)}\\ 385 \\qquad \\textbf{(B)}\\ 665 \\qquad \\textbf{(C)}\\ 945 \\qquad \\textbf{(D)}\\ 1140 \\qquad \\textbf{(E)}\\ 1330$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"index": 3398,
"need_tools_kwargs": true,
"question": "A computer has 42 files that need to be saved on disks, each with a capacity of 2.88 MB. Among these files, 8 are 1.6 MB each, 16 are 1 MB each, and the remaining files are 0.5 MB each. Determine the minimal number of disks required to store all the files, ensuring that files cannot be split across disks.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Charisma Records",
"style": "rule"
} | {
"index": 3399,
"need_tools_kwargs": true,
"question": "\"The Carpet Crawlers\" is a song from a concept album released by which record label ?",
"split": "train"
} | null |
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