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": "1512",
"style": "rule"
} | {
"index": 6300,
"need_tools_kwargs": true,
"question": "已知 $n$ 为不超过 $2015$ 的正整数且 $1^{n}+2^{n}+3^{n}+4^{n}$ 的个位数为 $0$，求满足条件的正整数 $n$ 的个数。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6301,
"need_tools_kwargs": true,
"question": "Petya, Sasha, and Misha are playing knockout tennis. A knockout game means that in each round, two players play while the third waits. The loser of the round gives place to the waiting player and becomes the one waiting in the next round. Petya played a total of 12 rounds, Sasha played 7 rounds, and Misha played 11 rounds. How many times did Petya win against Sasha?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6302,
"need_tools_kwargs": true,
"question": "At the World Meteorologist Conference, each participant took turns announcing the average monthly temperature in their hometown. All other participants recorded the product of the temperatures in their own city and the announced temperature. A total of 54 positive and 56 negative numbers were recorded. What is the minimum number of times a positive temperature could have been announced?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Amos Comenius",
"style": "rule"
} | {
"index": 6303,
"need_tools_kwargs": true,
"question": "A British educator in England at the turn of the twentieth century was inspired by the writings of an English poet and cultural critic who worked as an inspector of schools, and who else?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Morocco",
"style": "rule"
} | {
"index": 6304,
"need_tools_kwargs": true,
"question": "Which country Muhammad Al-Nasir's father is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "modest",
"style": "rule"
} | {
"index": 6305,
"need_tools_kwargs": true,
"question": "The city in which Monty Waters was born is Italian for what word?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "David Churchill",
"style": "rule"
} | {
"index": 6306,
"need_tools_kwargs": true,
"question": "Who was Savannah Churchill's first husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 6307,
"need_tools_kwargs": true,
"question": "求不定方程 $x^{2}+615=2^{y}$ 的正整数解的组数。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 6308,
"need_tools_kwargs": true,
"question": "甲想了一个 1\\sim 50 中的整数. 乙选择一个正整数 m，并问甲\"m 是否整除你想的数？\"，甲必须如实回答. 乙继续提问，直到确定甲想的数. 问：乙至少需要提问多少次？",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "André Paul Guillaume Gide",
"style": "rule"
} | {
"index": 6309,
"need_tools_kwargs": true,
"question": "Who was a French author and winner of the Nobel prize in Literature in 1947, Edmund Wilson or André Gide?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6310,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Fires Of Rebellion?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6311,
"need_tools_kwargs": true,
"question": "Consider a sequence \\( y_1, y_2, y_3, \\ldots \\) defined by\n\\[\ny_1 = \\sqrt[3]{4},\\\\\ny_2 = (\\sqrt[3]{4})^{\\sqrt[3]{4}},\n\\]\nand generally,\n\\[\ny_n = (y_{n - 1})^{\\sqrt[3]{4}} \\text{ for } n > 1.\n\\]\nWhat is the smallest value of \\( n \\) for which \\( y_n \\) is an integer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{43}{216}",
"style": "rule"
} | {
"index": 6312,
"need_tools_kwargs": true,
"question": "Two players face off in a dice combat game. The attacker will roll three dice and the defender will roll two. The attacker will defeat the defender in a single roll of dice if and only if both conditions below are satisfied:\n\ni) The highest die of the attacker is greater than the highest die of the defender.\n\nii) The second highest die of the attacker is greater than the second highest die of the defender (we assume that the \"second highest die\" can be the same as the highest die if two or more dice tie for the highest value).\n\nGiven that all dice are fair and outcomes are equally probable, calculate the probability that the attacker wins when the defender rolls:\n\na) Two fives;\n\nb) One five and one four.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-2010",
"style": "rule"
} | {
"index": 6313,
"need_tools_kwargs": true,
"question": "The graph of the function $y=f(x)$ is symmetric around the line $y=x$. After moving it left by one unit, the graph is still symmetric around the line $y=x$. If $f(1)=0$, then $f(2011)=$ __(A)__.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 6314,
"need_tools_kwargs": true,
"question": "Consider all polynomials of the form\n\\[x^7 + b_6 x^6 + b_5 x^5 + \\dots + b_2 x^2 + b_1 x + b_0,\\]\nwhere \\( b_i \\in \\{0,1\\} \\) for all \\( 0 \\le i \\le 6 \\). Find the number of such polynomials that have exactly two different integer roots, -1 and 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": "October 14, 1990",
"style": "rule"
} | {
"index": 6315,
"need_tools_kwargs": true,
"question": "When did the composer of song Tonight Quintet 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": "\\frac{\\sqrt{145}}{15}",
"style": "rule"
} | {
"index": 6316,
"need_tools_kwargs": true,
"question": "A bug is on one exterior vertex of solid \\( S \\), a \\( 3 \\times 3 \\times 3 \\) cube that has its center \\( 1 \\times 1 \\times 1 \\) cube removed, and wishes to travel to the opposite exterior vertex. Let \\( O \\) denote the outer surface of \\( S \\) (formed by the surface of the \\( 3 \\times 3 \\times 3 \\) cube). Let \\( L(S) \\) denote the length of the shortest path through \\( S \\). (Note that such a path cannot pass through the missing center cube, which is empty space.) Let \\( L(O) \\) denote the length of the shortest path through \\( O \\). What is the ratio \\(\\frac{L(S)}{L(O)}\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6317,
"need_tools_kwargs": true,
"question": "Let $D$ be a point on side $[BC]$ of triangle $ABC$ where $|BC|=11$ and $|BD|=8$. The circle passing through the points $C$ and $D$ touches $AB$ at $E$. Let $P$ be a point on the line which is passing through $B$ and is perpendicular to $DE$. If $|PE|=7$, then what is $|DP|$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Taylor Swift and Travis Kelce",
"style": "rule"
} | {
"index": 6318,
"need_tools_kwargs": true,
"question": "Which two individuals, linked by recent events reported by 'The Age' and 'The Independent - Life and Style', were seen leaving a stadium together and are the subject of dating speculations due to one being spotted cheering on the other from the box seats at Arrowhead Stadium?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 11, 1937",
"style": "rule"
} | {
"index": 6319,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of song Boy! What Love Has Done To Me!?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "229.96",
"style": "rule"
} | {
"index": 6320,
"need_tools_kwargs": true,
"question": "A goods train runs at the speed of 72 kmph and crosses a platform of a certain length in 26 seconds. The length of the goods train is 290.04 m. What is the length of the platform in meters?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a = 1",
"style": "rule"
} | {
"index": 6321,
"need_tools_kwargs": true,
"question": "Given two lines $l_1: (a+1)x - 2y + 1 = 0$ and $l_2: x + ay - 2 = 0$ are perpendicular, find the value of $a$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Millennium Entertainment",
"style": "rule"
} | {
"index": 6322,
"need_tools_kwargs": true,
"question": "What company was in charge of US distribution for a film starring an actress who also starred in \"Doctor 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": "2047",
"style": "rule"
} | {
"index": 6323,
"need_tools_kwargs": true,
"question": "A magic $3 \\times 5$ board can toggle its cells between black and white. Define a \\textit{pattern} to be an assignment of black or white to each of the board's $15$ cells (so there are $2^{15}$ patterns total). Every day after Day 1, at the beginning of the day, the board gets bored with its black-white pattern and makes a new one. However, the board always wants to be unique and will die if any two of its patterns are less than $3$ cells different from each other. Furthermore, the board dies if it becomes all white. If the board begins with all cells black on Day $1$, compute the maximum number of days it can stay alive.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Randolph Churchill",
"style": "rule"
} | {
"index": 6324,
"need_tools_kwargs": true,
"question": "In 1941 when the Axis invaded Yugoslavia, King Peter II formed a Government in exile in London, the main reason for the change was, or as later alleged the influence of James Klugmann in Special Operations Executive (SOE) headquarters in Cairo or even who, he was a journalist and a Conservative Member of Parliament (MP) for Preston from 1940 to 1945?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6325,
"need_tools_kwargs": true,
"question": "Are Rex Theatre (Whitewood) and Théâtre-Musée Des Capucines 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": "Bijapur",
"style": "rule"
} | {
"index": 6326,
"need_tools_kwargs": true,
"question": "Where was the director of film Utkarsha 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": "\\frac{3}{2}",
"style": "rule"
} | {
"index": 6327,
"need_tools_kwargs": true,
"question": "Consider set \\( S \\) formed by the points inside and on the edges of a regular hexagon with side length 1. Find the minimum value of \\( r \\) such that there is a way to color the points in \\( S \\) with three colors such that the distance between any two points of the same color is less than \\( r \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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\\sqrt{2}",
"style": "rule"
} | {
"index": 6328,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, angle $C$ is $135^{\\circ}$. A square with center $O$ is constructed on side $AB$ outside the triangle. Find $OC$ if $AB = 6$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6329,
"need_tools_kwargs": true,
"question": "Did 'The Age' article claim that Taylor Swift was at Wembley Stadium, while 'The Independent - Life and Style' discusses her openness about a personal relationship, and 'FOX News - Lifestyle' mentions her engagement with a viral TikTok video, indicating different aspects of her public presence?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Pierre Charles Bouvier",
"style": "rule"
} | {
"index": 6330,
"need_tools_kwargs": true,
"question": "who has more entertainment prowell Pierre Bouvier:or Jello Biafra",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Hormel Foods Corporation",
"style": "rule"
} | {
"index": 6331,
"need_tools_kwargs": true,
"question": "Prem is similar to the luncheon loaf made by 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... | math | {
"ground_truth": "\\frac{m}{2r} = \\frac{\\pi^2 - 4}{8} \\approx 0.7337",
"style": "rule"
} | {
"index": 6332,
"need_tools_kwargs": true,
"question": "A spider can reach a point on the floor of a cylindrical room, directly opposite from where it hangs on the ceiling, in two ways with equal distances:\n\n1. It descends vertically and then continues along the diameter of the floor.\n2. It travels along the curved surface of the cylinder. When the curved surface is unrolled flat, its path is a straight line.\n\nCalculate the ratio of the height to the diameter of the cylinder.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "56",
"style": "rule"
} | {
"index": 6333,
"need_tools_kwargs": true,
"question": "Let \\( D(n) \\) denote the number of ways of writing the positive integer \\( n \\) as a product \\( n = f_1 \\cdot f_2 \\cdots f_k \\), where \\( k \\ge 1 \\), the \\( f_i \\) are integers strictly greater than 1, and the order in which the factors are listed matters. Calculate \\( D(72) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Fitzjohn's Primary School",
"style": "rule"
} | {
"index": 6334,
"need_tools_kwargs": true,
"question": "What primary school did Dua Lipa attend before moving to Kosovo with her family?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6335,
"need_tools_kwargs": true,
"question": "Are the directors of films La Smala and Ape And Super-Ape 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... | qa | {
"ground_truth": "April 17, 1911",
"style": "rule"
} | {
"index": 6336,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Miracle On 34Th Street?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "C. L. Franklin",
"style": "rule"
} | {
"index": 6337,
"need_tools_kwargs": true,
"question": "Who is the father of the performer of song Break It To Me Gently (Aretha Franklin Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "37",
"style": "rule"
} | {
"index": 6338,
"need_tools_kwargs": true,
"question": "Find all prime numbers $p, q, r$ such that $\\frac{p}{q} - \\frac{4}{r+1} = 1$. Please provide the sum of all $p+q+r$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}{6}",
"style": "rule"
} | {
"index": 6339,
"need_tools_kwargs": true,
"question": "Alice has an equilateral triangle \\(ABC\\) with an area of 1. Point \\(D\\) is located on side \\(BC\\) such that \\(BD = DC\\), making \\(D\\) the midpoint of \\(BC\\). Point \\(E\\) is on side \\(CA\\) such that \\(CE = 2EA\\), and point \\(F\\) is on side \\(AB\\) such that \\(2AF = FB\\). The line segments \\(AD\\), \\(BE\\), and \\(CF\\) intersect at a single point \\(M\\). Calculate the area of triangle \\(EMC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6340,
"need_tools_kwargs": true,
"question": "设函数 y=\\sin x\\cos x(\\sin x+\\cos x)，其中 x\\in\\left[-\\frac{\\pi}{4},\\frac{\\pi}{2}\\right]. 则函数 y 的值域为\\left[-\\frac{\\sqrt{a}}{b},\\frac{\\sqrt{c}}{d}\\right]. 请计算a+b+c+d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": 6341,
"need_tools_kwargs": true,
"question": "Find the value of the algebraic expression $2\\left(x^{2}-5xy\\right)-3\\left(x^{2}-6xy\\right)$, where $x=-1$ and $y=\\dfrac{1}{2}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 6342,
"need_tools_kwargs": true,
"question": "A ball is dropped from 16 feet high and always bounces back up one-third of the distance it just fell. After how many bounces will the ball first reach a maximum height less than 2 feet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6343,
"need_tools_kwargs": true,
"question": "Given a rectangle \\( R \\) with dimensions \\( a \\) and \\( b \\) where \\( a < b \\), find the number of different rectangles with dimensions \\( x \\) and \\( y \\) such that \\( x < b \\) and \\( y < b \\). These new dimensions must satisfy the conditions that the perimeter of the new rectangle is half that of rectangle \\( R \\) and the area is also half that of rectangle \\( R \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6344,
"need_tools_kwargs": true,
"question": "设 $n 、 m$ 是具有不同奇偶性的正整数, 且 $n>$ $m$. 求所有的整数 $x$, 使得 $\\frac{x^{2^{n}}-1}{x^{2^{m}}-1}$ 是一个完全平方数。若答案为$x$，请给出$|x|$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": "6",
"style": "rule"
} | {
"index": 6345,
"need_tools_kwargs": true,
"question": "Let \\( S \\) be the smallest positive multiple of 15 that comprises exactly \\( 3k \\) digits with \\( k \\) '0's, \\( k \\) '3's, and \\( k \\) '8's. Find the remainder when \\( S \\) is divided by 11.\n\n(A) 0 \n(B) 3 \n(C) 5 \n(D) 6 \n(E) 8",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6346,
"need_tools_kwargs": true,
"question": "In the plane rectangular coordinate system, the area of the region described by the system of inequalities\n\\[\n\\left\\{\n\\begin{array}{l}\n\\sqrt{3} x - y \\leq 0, \\\\\nx - \\sqrt{3} y + 2 \\geq 0, \\\\\ny \\geq 0\n\\end{array}\n\\right.\n\\]\nis:\nA. $\\frac{\\sqrt{3}}{2}$ \nB. $\\sqrt{3}$ \nC. 2 \nD. $2\\sqrt{3}$",
"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": "yes",
"style": "rule"
} | {
"index": 6347,
"need_tools_kwargs": true,
"question": "Are Bucknell University and Wilberforce University located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5044",
"style": "rule"
} | {
"index": 6348,
"need_tools_kwargs": true,
"question": "A sequence $\\{a_n\\}$ satisfies: $a_1= \\dfrac{1}{4}$, $a_2= \\dfrac{1}{5}$, and $a_1a_2+a_2a_3+\\ldots+a_na_{n+1}=na_1a_{n+1}$ for any positive integer $n$. Find the value of $\\dfrac{1}{a_1}+ \\dfrac{1}{a_2}+\\ldots+ \\dfrac{1}{a_{97}}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 : 4 : 5",
"style": "rule"
} | {
"index": 6349,
"need_tools_kwargs": true,
"question": "Drop perpendiculars IP and IQ from point I onto sides BC and AB respectively. Points P and Q are points of tangency of these sides with the inscribed circle, and the quadrilateral PIQB is a square. The angles KIL and PIQ are right angles, hence angles PIK and QIL are equal. Consequently, right triangles PIK and QIL are congruent. According to Thales' theorem, the length KP=QL is half of the length BP=BQ, and the length AQ is twice the length BQ=BP.\n\nTherefore, the length of side AB is \\( AL + LB = \\frac{6}{5}AL = \\frac{6}{5}AO = \\frac{3}{5}AC \\). From the Pythagorean theorem, \\( BC = \\frac{4}{5}AC \\). Hence, \\( AB:BC:CA = 3:4:5 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "122",
"style": "rule"
} | {
"index": 6350,
"need_tools_kwargs": true,
"question": "随机生成一个长度为 4 的由 0,1,2 构成的数列，则其中任意相邻两数之差的绝对值都小于 2 的概率的答案形式为\\frac{k}{m}，请给出k+m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": "writers",
"style": "rule"
} | {
"index": 6351,
"need_tools_kwargs": true,
"question": "Gabriela Mistral and Alan Sillitoe were both in what profession?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{43}{81}",
"style": "rule"
} | {
"index": 6352,
"need_tools_kwargs": true,
"question": "A biased coin lands heads with a probability of \\(\\frac{2}{3}\\) and tails with \\(\\frac{1}{3}\\). A player can choose between Game C and Game D. In Game C, the player tosses the coin five times and wins if either the first three or the last three outcomes are all the same. In Game D, she tosses the coin five times and wins if at least one of the following conditions is met: the first two tosses are the same and the last two tosses are the same, or the middle three tosses are all the same. Calculate the probabilities of winning for both games and determine which game has a higher probability of winning.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "52,",
"style": "rule"
} | {
"index": 6353,
"need_tools_kwargs": true,
"question": "Harry found a box containing 47 eggs. He then decides to add 5 and 2/3 more eggs to the box. Additionally, the weight of the eggs, including the new ones is 143.5 ounces. What is the total number of eggs in the box, and what is the weight of eggs in grams?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6354,
"need_tools_kwargs": true,
"question": "Are both Crooked Creek (Third Fork) and Kvichak River 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": "the beating of the heart",
"style": "rule"
} | {
"index": 6355,
"need_tools_kwargs": true,
"question": " Cardiac contractility modulation a treatment for patients with moderate to severe left ventricular systolic heart failure and is delivered by a medical device which uses electrical impulses, delivered by electrodes contracting the heart muscles, to regulate 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": "19",
"style": "rule"
} | {
"index": 6356,
"need_tools_kwargs": true,
"question": "Rachel and Robert run on a circular track. Rachel runs counterclockwise and completes a lap every $90$ seconds, and Robert runs clockwise and completes a lap every $80$ seconds. Both start from the same line at the same time. At some random time between $10~ minutes$ and $11 ~minutes$ after they begin to run, a photographer standing inside the track takes a picture that shows one-fourth of the track, centered on the starting line. What is the probability that both Rachel and Robert are in the picture? The original answer is in the form of \\frac{k}{m}, please 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... | qa | {
"ground_truth": "suspicious ways",
"style": "rule"
} | {
"index": 6357,
"need_tools_kwargs": true,
"question": "The actress who played Monica and Ross Geller's cousin on \"Friends\" also appeared in a film that follows various beauty pageant contestants who die in 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": "June 12, 1924",
"style": "rule"
} | {
"index": 6358,
"need_tools_kwargs": true,
"question": "When is the 41st President of the United States which Mark J. Albrecht was his advisor 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": "Mount Pleasant",
"style": "rule"
} | {
"index": 6359,
"need_tools_kwargs": true,
"question": "The Chippewas main campus is located where?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.06 < \\sigma < 1.14",
"style": "rule"
} | {
"index": 6360,
"need_tools_kwargs": true,
"question": "12 measurements of a certain physical quantity were taken with an instrument (without systematic error). The \"corrected\" standard deviation \\( s \\) of the random measurement errors was found to be 0.6. Find the accuracy of the instrument with a confidence level of 0.99, assuming that the measurement results are normally distributed.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1/2013",
"style": "rule"
} | {
"index": 6361,
"need_tools_kwargs": true,
"question": "Consider a round table on which $2014$ people are seated. Suppose that the person at the head of the table receives a giant plate containing all the food for supper. He then serves himself and passes the plate either right or left with equal probability. Each person, upon receiving the plate, will serve himself if necessary and similarly pass the plate either left or right with equal probability. Compute the probability that you are served last if you are seated $2$ seats away from the person at the head of the table.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6362,
"need_tools_kwargs": true,
"question": "求所有的正整数 n，使得存在非零整数 x_1, x_2, \\cdots, x_n, y，满足\\begin{cases} x_1+x_2+\\cdots+x_n=0, \\\\ x_1^2+x_2^2+\\cdots+x_n^2=ny^2. \\end{cases} 答案的形式为 (a, \\infty)，请给出a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": "Baroque",
"style": "rule"
} | {
"index": 6363,
"need_tools_kwargs": true,
"question": "The painter of Smiling Fishergirl was part of what art movement?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Fabaceae",
"style": "rule"
} | {
"index": 6364,
"need_tools_kwargs": true,
"question": "Glyptotermes minutus is a pest of a flowering tree in the pea family named 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": "Paul Anthony Sorrento",
"style": "rule"
} | {
"index": 6365,
"need_tools_kwargs": true,
"question": "Who played first base for the American League team in what ESPN selected as the \"Greatest of All Time\" in their \"World Series 100th Anniversary\" countdown?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6366,
"need_tools_kwargs": true,
"question": "Solve the system of inequalities:\n\n\\[\n\\left\\{\n\\begin{array}{l}\n|x-2a| \\leq 3 \\\\\n\\log_{2}(x+a) \\leq 2 \n\\end{array}\n\\right.\n\\]\n\nwhich is equivalent to:\n\n\\[\n\\left\\{\n\\begin{array}{l}\n-5 \\leq x-2a \\leq 5 \\\\\n0 < x+a \\leq 4 \n\\end{array}\n\\right.\n\\]\n\nand further simplifies to:\n\n\\[\n\\left\\{\n\\begin{array}{l}\n2a-5 \\leq x \\leq 2a+5 \\\\\n-a < x \\leq 4-a \n\\end{array}\n\\right.\n\\]\n\nThe system has a unique solution if \\(2a - 5 = 4 - a\\), which gives \\(a = 3\\). In this case, the only solution for \\(x\\) is \\(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": "No Dough Boys",
"style": "rule"
} | {
"index": 6367,
"need_tools_kwargs": true,
"question": "Which film has the director who died first, The Punch and Judy Man or No Dough Boys?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Rita Sahatçiu Ora",
"style": "rule"
} | {
"index": 6368,
"need_tools_kwargs": true,
"question": "Who is the artist in which James Abrahart has worked with and who rose to prominence after being featured on \"Hot Right Now?\" ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 6369,
"need_tools_kwargs": true,
"question": "How many three digit numbers are there such that the digits are non-zero, the tens digit is a multiple of the hundreds digit, the units digit is a multiple of the tens digit, and none of the digits are the same?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6370,
"need_tools_kwargs": true,
"question": "Let $p(x)$ be a polynomial with integer coefficients such that both equations $p(x)=1$ and $p(x)=3$ have integer solutions. If the equation $p(x)=2$ can have two different integer solutions, let the answer be represented by an integer $k$. Please determine the value of $k$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 6371,
"need_tools_kwargs": true,
"question": "Given that the line $l_1: x + (1+k)y = 2-k$ is parallel to the line $l_2: kx + 2y + 8 = 0$, find the value of $k$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10.0",
"style": "rule"
} | {
"index": 6372,
"need_tools_kwargs": true,
"question": "The cost of 1 piece of gum is 1 cent. What is the cost of 1000 pieces of gum, in 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... | qa | {
"ground_truth": "December 31, 1925",
"style": "rule"
} | {
"index": 6373,
"need_tools_kwargs": true,
"question": "When did the director of film Nero (1922 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... | qa | {
"ground_truth": "UCI ProTeam Team Sky",
"style": "rule"
} | {
"index": 6374,
"need_tools_kwargs": true,
"question": "The 2015 Tour of Oman was the sixth edition of the Tour of Oman cycling stage race, Chris Froome, the defending champion from 2013 and 2014, a British road racing cyclist for which organization?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "17^\\circ",
"style": "rule"
} | {
"index": 6375,
"need_tools_kwargs": true,
"question": "The complement of an angle is $5^{\\circ}$ more than four times the angle. What is the number of degrees in the measure of the angle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.24",
"style": "rule"
} | {
"index": 6376,
"need_tools_kwargs": true,
"question": "On the base \\(AC\\) of an isosceles triangle \\(ABC\\), a point \\(E\\) is taken, and on the sides \\(AB\\) and \\(BC\\), points \\(K\\) and \\(M\\) are taken such that \\(KE \\parallel BC\\) and \\(EM \\parallel AB\\). What fraction of the area of triangle \\(\\mathrm{ABC}\\) is occupied by the area of triangle \\(KEM\\) if \\(BM:EM = 2:3\\)?",
"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": "Randy And The Mob",
"style": "rule"
} | {
"index": 6377,
"need_tools_kwargs": true,
"question": "Which film was released more recently, Randy And The Mob or Benilde Or The Virgin Mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "December 1954",
"style": "rule"
} | {
"index": 6378,
"need_tools_kwargs": true,
"question": "When was the song that \"Gold Digger\" samples first released?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Jonathan Kellerman (born August 9, 1949) is an American psychologist,",
"style": "rule"
} | {
"index": 6379,
"need_tools_kwargs": true,
"question": "Who is an American psychologist, Jonathan Kellerman or P. G. Wodehouse?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "British",
"style": "rule"
} | {
"index": 6380,
"need_tools_kwargs": true,
"question": "Which country the director of film Punk: Attitude is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "7 January 1355",
"style": "rule"
} | {
"index": 6381,
"need_tools_kwargs": true,
"question": "What is the date of death of Beatrice, Countess Of Alburquerque's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "East Lancashire Railway",
"style": "rule"
} | {
"index": 6382,
"need_tools_kwargs": true,
"question": "Which railway is a part of Summerseat and also runs between Heywood and Rawtenstall?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "4,007,526",
"style": "rule"
} | {
"index": 6383,
"need_tools_kwargs": true,
"question": "The 1987 Asian WOmen's Handball Championship took place in a city with this population?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Private Life Of Louis Xiv",
"style": "rule"
} | {
"index": 6384,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, The Breaking Point (1924 Film) or The Private Life Of Louis Xiv?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "coriander leaves",
"style": "rule"
} | {
"index": 6385,
"need_tools_kwargs": true,
"question": "In addition to cooked and mashed beans accompanying Huevos a la mexicana what food is mixed in the eggs at the end of preparation? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Moscow",
"style": "rule"
} | {
"index": 6386,
"need_tools_kwargs": true,
"question": "Where did Grigori Aleksandrov'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": "1",
"style": "rule"
} | {
"index": 6387,
"need_tools_kwargs": true,
"question": "The sum of three integers is 36. When three more integers are added to the first three, the total sum becomes 60. Finally, when two additional integers are added to the sum of the previous six integers, the total becomes 76. If the product of the last two integers added is 48, determine the minimum number of even integers among the eight integers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Talbot Baines Reed",
"style": "rule"
} | {
"index": 6388,
"need_tools_kwargs": true,
"question": "Who was a regular and prolific contributor to a British story paper aimed at young and teenage boys, published from 1879 to 1967?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2 August 1955",
"style": "rule"
} | {
"index": 6389,
"need_tools_kwargs": true,
"question": "When did Albrecht, Duke Of Bavaria's father 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": "2 \\cdot \\sqrt[3]{112}",
"style": "rule"
} | {
"index": 6390,
"need_tools_kwargs": true,
"question": "Simplify $\\sqrt[3]{1+27} \\cdot \\sqrt[3]{1+\\sqrt[3]{27}} \\cdot \\sqrt{4}$.",
"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": "Gina Alexis Rodriguez",
"style": "rule"
} | {
"index": 6391,
"need_tools_kwargs": true,
"question": "The first season of Jane the Virgin, premiered in 2014, it consisted of 22 episodes and stars which American actress, of Puerto Rican descent?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Toshimitsu Deyama",
"style": "rule"
} | {
"index": 6392,
"need_tools_kwargs": true,
"question": "Was Seo Min-woo or Toshi born first?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"index": 6393,
"need_tools_kwargs": true,
"question": "The milk level in a rectangular box measuring 58 feet by some feet is to be lowered by 6 inches. To do this, 5437.5 gallons of milk must be removed. What is the width of the rectangular box?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5.5",
"style": "rule"
} | {
"index": 6394,
"need_tools_kwargs": true,
"question": "Solve the system of equations. In the answer, write the maximum value of \\( y \\).\n\n$$\n\\left\\{\\begin{array}{l}\n3x^{2} - xy = 1 \\\\\n9xy + y^{2} = 22\n\\end{array}\\right.\n$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 6395,
"need_tools_kwargs": true,
"question": "A giant spider is discovered. It weighs 2.5 times the previous largest spider, which weighed 6.4 ounces. Each of its legs has a cross-sectional area of .5 square inches. How much pressure in ounces per square inch does each leg undergo?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "poison",
"style": "rule"
} | {
"index": 6396,
"need_tools_kwargs": true,
"question": "What method of murder was used by English serial killer Graham Young whose life was portrayed in a 1995 black comedy film directed by Benjamin Ross?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1211",
"style": "rule"
} | {
"index": 6397,
"need_tools_kwargs": true,
"question": "Henri de Dreux commemorated by a window in a catherdral that replaced an older church destroyed by fire 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... | math | {
"ground_truth": "(-1,3)",
"style": "rule"
} | {
"index": 6398,
"need_tools_kwargs": true,
"question": "Given the sequence $\\{a\\_n\\}$, the sum of its first $n$ terms is $S\\_n=(-1)^{n}⋅n$. If $(a_{n+1}-p)(a_{n}-p) < 0$ holds true for any positive integer $n$, find the range of the real number $P$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Royal Albert Hall and The Kennedy Center",
"style": "rule"
} | {
"index": 6399,
"need_tools_kwargs": true,
"question": "A judge for the first season of Pakistan Idol was a singer who has performed at what two prestigious venues?",
"split": "train"
} | null |
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