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": "4014",
"style": "rule"
} | {
"index": 2400,
"need_tools_kwargs": true,
"question": "The value of $a$ is chosen so that the number of roots of the first equation $4^{x}-4^{-x}=2 \\cos(a x)$ is 2007. How many roots does the second equation $4^{x}+4^{-x}=2 \\cos(a x)+4$ have for the same 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... | math | {
"ground_truth": "2:1",
"style": "rule"
} | {
"index": 2401,
"need_tools_kwargs": true,
"question": "In a class president election, Marcy got three times as many votes as Barry, who got some votes, and Joey got 8 votes. Marcy got 66 votes. What is the ratio of the number of votes Barry got to the number of votes Joey got plus 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": "2^{n+3} - 8",
"style": "rule"
} | {
"index": 2402,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $\\{a_n\\}$, $a_2=3$, and $a_8=9$.\n(1) Find the general term formula of $\\{a_n\\}$.\n(2) Find the sum of the first $n$ terms, $S_n$, of the sequence $\\{2^{a_n}\\}$.",
"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... | qa | {
"ground_truth": "Charlie Chaplin",
"style": "rule"
} | {
"index": 2403,
"need_tools_kwargs": true,
"question": "What actor appears in the playbill of Norman Rockwell's illustration \"Family Night Out\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "16",
"style": "rule"
} | {
"index": 2404,
"need_tools_kwargs": true,
"question": "How old was the Spanish actress who provides financial support for the Sahara International Film Festival when she made her acting debut? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Aysén Region",
"style": "rule"
} | {
"index": 2405,
"need_tools_kwargs": true,
"question": "In which region is the lake, found in Patagonia and shared by Argentina and Chile, 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": "4851",
"style": "rule"
} | {
"index": 2406,
"need_tools_kwargs": true,
"question": "Find the number of ordered triples of positive integers $(a, b, c)$ such that\n\\[6a + 10b + 15c = 3000.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mutemath",
"style": "rule"
} | {
"index": 2407,
"need_tools_kwargs": true,
"question": "What rock band performed the second single from the 2008 vampire movie starring Kristen Stewart?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Cheryl",
"style": "rule"
} | {
"index": 2408,
"need_tools_kwargs": true,
"question": "Who was the wife of Jean Michel Jarre's friend who died during the Challenger launch?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2409,
"need_tools_kwargs": true,
"question": "Are director of film The Toth Family and director of film Svanuće from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"index": 2410,
"need_tools_kwargs": true,
"question": "Rebecca wants to split a collection of eggs into groups of 2. Rebecca has some eggs and 3 marbles. She created 8 groups. How many eggs does Rebecca have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1.75",
"style": "rule"
} | {
"index": 2411,
"need_tools_kwargs": true,
"question": "Two circles touch each other externally at point \\(K\\). On their common internal tangent, a point \\(P\\) is marked such that \\(KP = 14\\). Through point \\(P\\), two secants are drawn to the circles. One secant intersects the first circle at points \\(A\\) and \\(B\\) with chord length \\(AB = 45\\), where point \\(A\\) lies between points \\(B\\) and \\(P\\). The other secant intersects the second circle at points \\(C\\) and \\(D\\) with chord length \\(CD = 21\\), where point \\(C\\) lies between points \\(D\\) and \\(P\\). Calculate the ratio \\(BC : AD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2412,
"need_tools_kwargs": true,
"question": "Are both villages, Gur Mavali and Tolombeh-Ye Naseriyeh, Rigan, 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": "2\\sqrt{2}",
"style": "rule"
} | {
"index": 2413,
"need_tools_kwargs": true,
"question": "The line $ax-y+4-2a=0$ passes through the fixed point $A$. The distance from point $A$ to the line $y=x-2$ is ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Albany and Schenectady",
"style": "rule"
} | {
"index": 2414,
"need_tools_kwargs": true,
"question": "The congressional distric that John E. Sweeney represented includes all of which two counties?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2415,
"need_tools_kwargs": true,
"question": "What nationality is Sir Hugh Shaw-Stewart, 8Th Baronet'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": "August 17, 1980",
"style": "rule"
} | {
"index": 2416,
"need_tools_kwargs": true,
"question": "What is the date of death of Walter R. Mccoy's 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": "55\\%",
"style": "rule"
} | {
"index": 2417,
"need_tools_kwargs": true,
"question": "A group of students was interviewed for that if it was asked whether or not they speak French and/or English. Among those who speak French, 25 speak English well, while 65 of them do not speak English. If a certain percentage of students do not speak French and 200 students were surveyed, what percentage of students do not speak French?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2418,
"need_tools_kwargs": true,
"question": "Given that \\( a_{1} = 1, a_{2} = 2, a_{n+2} = \\frac{2 a_{n} a_{n+1}}{a_{n} + a_{n+1}} \\), the limit of the sequence \\( \\{a_{n}\\} \\) is:\nA. Does not exist\nB. Equals 1\nC. Equals \\(\\frac{3}{2}\\)\nD. Equals 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": "2",
"style": "rule"
} | {
"index": 2419,
"need_tools_kwargs": true,
"question": "Let $x, y, z$ be real numbers such that $$\\left|\\frac{y}{z} - xz\\right| \\leq 1 \\text{ and } \\left|yz + \\frac{x}{z}\\right| \\leq 1.$$ Find the maximum value of the expression $$x^3 + 2y.$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "216",
"style": "rule"
} | {
"index": 2420,
"need_tools_kwargs": true,
"question": "Senya has three straight sticks, each 24 centimeters long. He broke one of them into two parts such that, using the two pieces of this broken stick and the two whole sticks, he was able to create the outline of a right triangle. How many square centimeters is the area of this triangle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2.057",
"style": "rule"
} | {
"index": 2421,
"need_tools_kwargs": true,
"question": "In an electric circuit, four resistors with resistances 8 ohms, 9 ohms, 6 ohms, and 12 ohms are connected in parallel. Calculate the combined resistance (R) of these four resistors in the circuit.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": " 315",
"style": "rule"
} | {
"index": 2422,
"need_tools_kwargs": true,
"question": "Let $a > 0$, and let $P(x)$ be a polynomial with integer coefficients such that\n\\[P(1) = P(3) = P(5) = P(7) = a\\]and\n\\[P(2) = P(4) = P(6) = P(8) = -a.\\]What is the smallest possible 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... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 2423,
"need_tools_kwargs": true,
"question": "The fuel tank capacity of a car is 50 liters. After filling up the tank, the car departs from Shanghai to Harbin, which is 2560 kilometers away. It is known that the car consumes 8 liters of fuel for every 100 kilometers driven. To ensure driving safety, there should be at least 6 liters of fuel in the tank at all times. How many times must the car refuel on the way to Harbin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2424,
"need_tools_kwargs": true,
"question": "Triangle $LMT$ has $\\overline{MA}$ as an altitude. Given that $MA = 16$, $MT = 20$, and $LT = 25$, find the length of the altitude from $L$ to $\\overline{MT}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2425,
"need_tools_kwargs": true,
"question": "Triangle \\( \\triangle PQR \\) has an area of \\( 20 \\) square units. Points \\( S, T, U \\), distinct from \\( P, Q, R \\), lie on sides \\( PQ, QR \\), and \\( RP \\) respectively, with \\( PS = 3 \\) and \\( SQ = 2 \\). Given that the areas of triangle \\( \\triangle PTQ \\) and quadrilateral \\( SQTR \\) are equal, determine the area of triangle \\( \\triangle PTQ \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "23",
"style": "rule"
} | {
"index": 2426,
"need_tools_kwargs": true,
"question": "Let $x_1=1/20$, $x_2=1/13$, and \\[x_{n+2}=\\dfrac{2x_nx_{n+1}(x_n+x_{n+1})}{x_n^2+x_{n+1}^2}\\] for all integers $n\\geq 1$. Evaluate $\\textstyle\\sum_{n=1}^\\infty(1/(x_n+x_{n+1}))$.",
"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": "19 July 1810",
"style": "rule"
} | {
"index": 2427,
"need_tools_kwargs": true,
"question": "What is the date of death of Princess Alexandrine Of Prussia (1803–1892)'s mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "30\\pi\\,cm^2",
"style": "rule"
} | {
"index": 2428,
"need_tools_kwargs": true,
"question": "Given that the radius of the base of a cone is $5cm$ and the slant height is $6cm$, find the lateral area of the cone in $cm^{2}$.",
"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": "11",
"style": "rule"
} | {
"index": 2429,
"need_tools_kwargs": true,
"question": "Suppose that $f$ is a function from $\\mathbb{R}$ to $\\mathbb{R}$ such that $$f(x)+f\\left(1-\\dfrac{1}{x}\\right)=\\arctan x$$ for all real $x\\neq0.$ (As usual, y=arctan $x$ means $-\\pi/2<$ $y<\\pi/2$ and tan$y=x.)$ Find $$\\int_0^1f(x)\\:dx.$$ The original answer is in the format \\(\\frac{m \\pi}{n}\\). Please give the value of \\(m + n\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bugsy Siegel",
"style": "rule"
} | {
"index": 2430,
"need_tools_kwargs": true,
"question": "What Jewish American Mobster was the predecessor of Murder, Inc.? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "300",
"style": "rule"
} | {
"index": 2431,
"need_tools_kwargs": true,
"question": "Three towns \\(X, Y\\), and \\(Z\\) lie on a plane with coordinates \\((0,0)\\), \\((200,0)\\), and \\((0,300)\\) respectively. There are 100, 200, and 300 students in towns \\(X, Y\\), and \\(Z\\) respectively. A school is to be built on a grid point \\((x, y)\\), where \\(x\\) and \\(y\\) are both integers, such that the overall distance travelled by all the students is minimized. Find the value of \\(x + y\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 31, 1937",
"style": "rule"
} | {
"index": 2432,
"need_tools_kwargs": true,
"question": "When is the composer of film Astral City: A Spiritual Journey 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "355.9",
"style": "rule"
} | {
"index": 2433,
"need_tools_kwargs": true,
"question": "What is the starting tractive effort of a Railpower GG20B in kilonewtons?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2434,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Singing Waterfall?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2940",
"style": "rule"
} | {
"index": 2435,
"need_tools_kwargs": true,
"question": "How many different sequences of 17 coin tosses will contain exactly three HH, two HT, five TH, and six TT subsequences?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "21",
"style": "rule"
} | {
"index": 2436,
"need_tools_kwargs": true,
"question": "The sides of $\\triangle ABC$ form an arithmetic sequence of integers. The incircle $I$ is tangent to $AB$, $BC$, and $CA$ at points $D$, $E$, and $F$, respectively. Given that $DB = \\frac{3}{2}$ and $FA = \\frac{1}{2}$, find the radius of the incircle $I$. Express your answer in the form \\frac{\\sqrt{m}}{n}, where the fraction is in its simplest form. Calculate the value of m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Johanna Enlists",
"style": "rule"
} | {
"index": 2437,
"need_tools_kwargs": true,
"question": "Which film has the producer who is older, Thodallullu or Johanna Enlists?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Hermann Pohlmann",
"style": "rule"
} | {
"index": 2438,
"need_tools_kwargs": true,
"question": "Who designed the German bomber which used the SC250 bomb to notable effect ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 12, 1908",
"style": "rule"
} | {
"index": 2439,
"need_tools_kwargs": true,
"question": "When was the American comedian who created Friars Club of Beverly Hills 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": "3",
"style": "rule"
} | {
"index": 2440,
"need_tools_kwargs": true,
"question": "若实数 $x, y$ 满足 $4 x^{2}-4 x y+2 y^{2}=1$ ，则 $3 x^{2}+x y+y^{2}$ 的最大值与最小值的和为？",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 2441,
"need_tools_kwargs": true,
"question": "Are both director of film The Seven Little Foys and director of film Blazing The Overland Trail from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2442,
"need_tools_kwargs": true,
"question": "A runner, two cyclists, and a motorcyclist are moving with constant speeds on a circular highway. The runner and one of the cyclists are moving in one direction, while the motorcyclist and the other cyclist are moving in the opposite direction. The runner meets the second cyclist every 12 minutes, the first cyclist overtakes the runner every 20 minutes, and the motorcyclist overtakes the second cyclist every 5 minutes. How often does the motorcyclist meet the first cyclist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{18}",
"style": "rule"
} | {
"index": 2443,
"need_tools_kwargs": true,
"question": "Compute the value of the infinite series:\n\\[\n\\sum_{n=2}^{\\infty} \\frac{n^4 - 2n^3 + 3n^2 + 5n + 20}{3^n \\cdot \\left(n^4 + 4n^2 + 4\\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": "41",
"style": "rule"
} | {
"index": 2444,
"need_tools_kwargs": true,
"question": "There are two cameras that take pictures of a traffic intersection. Camera A starts taking pictures at $6$ AM and takes a picture every $11$ minutes. Camera B starts taking pictures at $7$ AM and takes pictures every $7$ minutes. Camera A and Camera B take a picture at the same time at four different times before noon. When Camera A and Camera B take their last picture together, how many minutes before noon is it?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Cassandra Clare",
"style": "rule"
} | {
"index": 2445,
"need_tools_kwargs": true,
"question": "What is the pen name of Judith Lewis, author of City of Glass?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 13, 1999",
"style": "rule"
} | {
"index": 2446,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film To Find A Man?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Versailles",
"style": "rule"
} | {
"index": 2447,
"need_tools_kwargs": true,
"question": "Bankrupt! is an album by a french band from which city ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2448,
"need_tools_kwargs": true,
"question": "Points $A, B, C, D, E,$ and $F$ lie, in that order, on $\\overline{AF}$, dividing it into five segments with lengths 2, 2, 3, 3, and 4 respectively. Point $G$ is not on line $AF$. Point $H$ lies on $\\overline{GD}$, and point $J$ lies on $\\overline{GF}$. The line segments $\\overline{HC}, \\overline{JE},$ and $\\overline{AG}$ are parallel. Find the ratio $HC/JE$.\n- A) $\\frac{5}{4}$\n- B) $\\frac{4}{3}$\n- C) $\\frac{3}{2}$\n- D) $\\frac{5}{3}$\n- E) $2$",
"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": "630",
"style": "rule"
} | {
"index": 2449,
"need_tools_kwargs": true,
"question": "Robert has $4$ indistinguishable gold coins and $4$ indistinguishable silver coins. Each coin has an engraving of one face on one side, but not on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable arrangements of the $8$ coins.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2450,
"need_tools_kwargs": true,
"question": "Were Olga Antonetti and Ray Walston of the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Björn Ulvaeus",
"style": "rule"
} | {
"index": 2451,
"need_tools_kwargs": true,
"question": "what swedish songwriter also produced an album called Ted?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2452,
"need_tools_kwargs": true,
"question": "Are the directors of both films Kungliga Patrasket and Third World California from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8640",
"style": "rule"
} | {
"index": 2453,
"need_tools_kwargs": true,
"question": "\n1) Restore the market supply function.\n2) Determine the amount of tax revenues collected at the chosen rate.\n3) Determine the rate of the per unit tax that would meet the decree of the ruler.\n4) What are the tax revenues that the ruler indicated to collect?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "schoolteacher and dressmaker",
"style": "rule"
} | {
"index": 2454,
"need_tools_kwargs": true,
"question": "Out of Our Father's House portrays a woman with 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... | qa | {
"ground_truth": "Geneva",
"style": "rule"
} | {
"index": 2455,
"need_tools_kwargs": true,
"question": "Where was the early frontrunner in the 2008 Formula 3 Euro Series 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{4}{5}",
"style": "rule"
} | {
"index": 2456,
"need_tools_kwargs": true,
"question": "Given the hyperbola defined by the equation \\( C: \\frac{x^{2}}{a^{2}} - \\frac{y^{2}}{b^{2}} = 1 \\) where \\( a > 0 \\) and \\( b > 0 \\), and knowing that the eccentricity of the hyperbola is 5, determine the value of \\( \\cos \\angle P F_{2} F_{1} \\) where \\( F_{1} \\) and \\( F_{2} \\) are the left and right foci of the hyperbola, and point \\( P \\) is an intersection point of the circle with diameter \\( F_{1}F_{2} \\) in the second quadrant.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2457,
"need_tools_kwargs": true,
"question": "The 40 unit squares of the $9 \\times 9$ table are labeled. A horizontal or vertical row of 9 unit squares is considered \"good\" if it contains more labeled unit squares than unlabeled ones. How many \"good\" rows (both horizontal and vertical) can the table have in total?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "300.0",
"style": "rule"
} | {
"index": 2458,
"need_tools_kwargs": true,
"question": "Using the 24-hour clock, the time \\(\\ 16:11:22 \\) on the date \\(16 / 11 / 22\\) (i.e. the 16th of November 2022) has hours, minutes, and seconds equal to the date, month, and (two-digit) year respectively. Let \\(S\\) be the number of seconds which will elapse after that date and time until this phenomenon next occurs. What is the value of \\(\\sqrt{S}\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.31125",
"style": "rule"
} | {
"index": 2459,
"need_tools_kwargs": true,
"question": "Calculate \\(\\sin (\\alpha+\\beta)\\), given \\(\\sin \\alpha+\\cos \\beta=\\frac{1}{4}\\) and \\(\\cos \\alpha+\\sin \\beta=-\\frac{8}{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": "3+\\sqrt{2}",
"style": "rule"
} | {
"index": 2460,
"need_tools_kwargs": true,
"question": "Given the random variables \\( X \\sim N(1,2) \\) and \\( Y \\sim N(3,4) \\), if \\( P(X < 0) = P(Y > a) \\), 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... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 2461,
"need_tools_kwargs": true,
"question": "Sixteen players stand in a four-by-four grid and each players says, “Every player adjacent to me (but not necessarily those diagonally across from me) is a knave.” What is the minimum possible number of knights 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": "35",
"style": "rule"
} | {
"index": 2462,
"need_tools_kwargs": true,
"question": "A certain agricultural and trade group develops animal husbandry and animal husbandry processing industries, with annual profits of $P$ and $Q$ (in ten thousand yuan), respectively. The relationship between these two productions and the invested capital $a$ (in ten thousand yuan) is $P=\\frac{a}{3}, Q=\\frac{10\\sqrt{a}}{3}$. This group plans to invest a total of $60$ ten thousand yuan in these two productions this year. When the maximum profit is obtained, how much will be invested in the animal husbandry industry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "59\\%",
"style": "rule"
} | {
"index": 2463,
"need_tools_kwargs": true,
"question": "The diagram shows a large square divided into squares of three different sizes. What percentage of the large square is shaded? \n\nA) 61%\nB) 59%\nC) 57%\nD) 55%\nE) 53%",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2464,
"need_tools_kwargs": true,
"question": "A sequence $(a_1,b_1)$, $(a_2,b_2)$, $(a_3,b_3)$, $\\ldots$ of points in the coordinate plane satisfies\n\\[(a_{n + 1}, b_{n + 1}) = (\\sqrt {3}a_n - b_n, \\sqrt {3}b_n + a_n)\\]for $n = 1,2,3,\\ldots$. Suppose that $(a_{100},b_{100}) = (2,4)$. What is $a_1 + b_1$? Express your answer using exponential notation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2465,
"need_tools_kwargs": true,
"question": "Let $q$ be the probability that, in the process of repeatedly flipping a fair coin, one will encounter a run of $6$ heads before one encounters a run of $3$ tails. Find $q$ in the form $m/n$ where $m$ and $n$ are relatively prime positive integers, then find $m+n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "16.9282032302755",
"style": "rule"
} | {
"index": 2466,
"need_tools_kwargs": true,
"question": "Find the minimum value of the function \\( f(x) = \\tan^2 x + 2 \\tan x + 6 \\cot x + 9 \\cot^2 x + 4 \\) on the interval \\( \\left(0, \\frac{\\pi}{2}\\right) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ebru Ceylan",
"style": "rule"
} | {
"index": 2467,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Three Monkeys?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2468,
"need_tools_kwargs": true,
"question": "Given that\n\\begin{align*}\n\\cos x + \\cos y + \\cos z &= 0, \\\\\n\\sin x + \\sin y + \\sin z &= 0,\n\\end{align*}find\n\\begin{align*}\n&\\tan^2 x + \\tan^2 y + \\tan^2 z - (\\tan^2 x \\tan^2 y + \\tan^2 x \\tan^2 z + \\tan^2 y \\tan^2 z) \\\\\n&\\quad - 3 \\tan^2 x \\tan^2 y \\tan^2 z.\n\\end{align*}",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{81}",
"style": "rule"
} | {
"index": 2469,
"need_tools_kwargs": true,
"question": "Five friends: Abby, Bernardo, Carl, Debra, and Eliza play a modified game where each starts with five coins. The game consists of four rounds, and in each round, five balls are placed in an urn—one green, one red, one yellow, and two white. Each player draws a ball at random without replacement. If a player draws the green ball, they give one coin to the player who draws the red ball. If a player draws the yellow ball, no coin transaction occurs for that player in that round. Determine the probability that, at the end of the fourth round, each of the players has five coins.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Oprah Winfrey",
"style": "rule"
} | {
"index": 2470,
"need_tools_kwargs": true,
"question": "The 2011 winner of the National Academies Communication Award was made into a movie 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... | qa | {
"ground_truth": "film director",
"style": "rule"
} | {
"index": 2471,
"need_tools_kwargs": true,
"question": "What do Nils Gaup and Roman Karmen have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.\\overline{277778}",
"style": "rule"
} | {
"index": 2472,
"need_tools_kwargs": true,
"question": "Express \\(\\frac{5}{18}\\) as a decimal.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Burma",
"style": "rule"
} | {
"index": 2473,
"need_tools_kwargs": true,
"question": "Which country Taingda Princess'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": "American",
"style": "rule"
} | {
"index": 2474,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Random Harvest (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": "Barcelona",
"style": "rule"
} | {
"index": 2475,
"need_tools_kwargs": true,
"question": "Where did the director of film The Man Who Wagged His Tail 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": "465",
"style": "rule"
} | {
"index": 2476,
"need_tools_kwargs": true,
"question": "What is the sum of the multiples of 3 from $-30$ to $60$, inclusive?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "India",
"style": "rule"
} | {
"index": 2477,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film Oorantha Sankranthi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Belinda Peregrín Schüll",
"style": "rule"
} | {
"index": 2478,
"need_tools_kwargs": true,
"question": "What is the singer of \"I Love You... Te Quiero\"'s full name?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Transporter 3",
"style": "rule"
} | {
"index": 2479,
"need_tools_kwargs": true,
"question": "What third film in a franchise did Camile Delamarre edit?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "On a Clear Day You Can See Forever",
"style": "rule"
} | {
"index": 2480,
"need_tools_kwargs": true,
"question": "The Historian is a drama film starring an American actor who earned his first Tonay nomination as lead actor in what 1966 musical?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2.4",
"style": "rule"
} | {
"index": 2481,
"need_tools_kwargs": true,
"question": "Given that \\( x \\) and \\( y \\) are within the interval \\((-2, 2)\\) and \\( x y = -1 \\), what is the minimum value of the function \\( u = \\frac{4}{4 - x^2} + \\frac{9}{9 - y^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": "50.0",
"style": "rule"
} | {
"index": 2482,
"need_tools_kwargs": true,
"question": "A temperature measured in degrees Celsius $(C)$ can be converted to degrees Fahrenheit $(F)$ using the formula $F=\\frac{9}{5} C+32$. If the temperature is 10 degrees Celsius, what is the temperature in degrees Fahrenheit?\n(A) -26.4\n(B) -12.2\n(C) 75.6\n(D) 50.0\n(E) 43.8",
"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": "40",
"style": "rule"
} | {
"index": 2483,
"need_tools_kwargs": true,
"question": "**Q14.** Let be given a trinagle $ABC$ with $\\angle A=90^o$ and the bisectrices of angles $B$ and $C$ meet at $I$ . Suppose that $IH$ is perpendicular to $BC$ ( $H$ belongs to $BC$ ). If $HB=5 \\text{cm}, \\; HC=8 \\text{cm}$ , compute the area of $\\triangle ABC$ .",
"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": "36",
"style": "rule"
} | {
"index": 2484,
"need_tools_kwargs": true,
"question": "Select 4 students from 6 students named A, B, C, etc. to participate in a 4×100m relay race. The first runner must be chosen from either A or B, and the fourth runner must be chosen from either A or C. Calculate the total number of different arrangements.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "14 February 1971",
"style": "rule"
} | {
"index": 2485,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Nowhere To Go (1958 Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2, 5, 6, 10",
"style": "rule"
} | {
"index": 2486,
"need_tools_kwargs": true,
"question": "In the land of knights and liars (knights always tell the truth, liars always lie), ten people were given different numbers from 1 to 10. Each person was then asked, \"Is your number divisible by 2?\" Three people answered affirmatively. To the question \"Is your number divisible by 4?\" six people answered affirmatively. To the question \"Is your number divisible by 5?\" two people answered affirmatively. What numbers did the liars receive?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2487,
"need_tools_kwargs": true,
"question": "Given a rearrangement of the numbers from $1$ to $n$, each pair of consecutive elements $a$ and $b$ of the sequence can be either increasing (if $a < b$) or decreasing (if $b < a$). How many rearrangements of the numbers from $1$ to $n$ have exactly two increasing pairs of consecutive elements? Express your answer in terms of $n$. The original answer is in the form of k^n - (n + m) \\cdot p^n + n(n + q)/2. Please find the value of k + m + 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... | math | {
"ground_truth": "1000",
"style": "rule"
} | {
"index": 2488,
"need_tools_kwargs": true,
"question": "2000 people registered on a new website. Each person invited 1000 others to be friends. Two people are considered friends if and only if both have invited each other to be friends. What is the minimum number of friend pairs that could have been 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": "Sally Jepkosgei Kipyego",
"style": "rule"
} | {
"index": 2489,
"need_tools_kwargs": true,
"question": "Wes Kittley has produced several national champions and Olympians, including what Kenyan long and middle distance runner?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Miami Gardens, Florida",
"style": "rule"
} | {
"index": 2490,
"need_tools_kwargs": true,
"question": "Denzel Curry was born in a suburb of what larger Florida city?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2501",
"style": "rule"
} | {
"index": 2491,
"need_tools_kwargs": true,
"question": "The smallest positive integer $n$ that satisfies $\\sqrt{n} - \\sqrt{n-1} < 0.01$ is\nA. 2499\nB. 2500\nC. 2501\nD. No such integer",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2492,
"need_tools_kwargs": true,
"question": "Do both directors of films A Date with Miss Fortune and Stella Maris (1925 film) share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "23 July 1973",
"style": "rule"
} | {
"index": 2493,
"need_tools_kwargs": true,
"question": "When was the composer of film Teraa Surroor 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": "5",
"style": "rule"
} | {
"index": 2494,
"need_tools_kwargs": true,
"question": "In the given diagram, semi-circles are constructed on diameters $\\overline{AB}$, $\\overline{AC}$, and $\\overline{CB}$, such that they are mutually tangent. If $\\overline{CD} \\bot \\overline{AB}$, find the ratio of the shaded area to the area of a circle with $\\overline{CD}$ as its radius. The original answer is in the form \\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": "MIT",
"style": "rule"
} | {
"index": 2495,
"need_tools_kwargs": true,
"question": "Which institute is this Indian theoretical physicist who contributed to studies of S-branes a visiting professor at?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ruby Rose Langenheim",
"style": "rule"
} | {
"index": 2496,
"need_tools_kwargs": true,
"question": "Which \"Australia's Next Top Model\" co-host appeared in John Wick: Chapter 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": "10",
"style": "rule"
} | {
"index": 2497,
"need_tools_kwargs": true,
"question": "Given that $b$ is an even multiple of $7768$, find the greatest common divisor of $7b^2 + 55b + 125$ and $3b + 10$.",
"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": "Michigan State",
"style": "rule"
} | {
"index": 2498,
"need_tools_kwargs": true,
"question": "The receiver who had 1,303 receiving yards and eight touchdowns with the 2003 Tennessee Titans played college football 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... | qa | {
"ground_truth": "Samuel Osei Kuffour",
"style": "rule"
} | {
"index": 2499,
"need_tools_kwargs": true,
"question": "Who is the retired professional footballer who played as a defender who was named man of the match at the 2001 Intercontinental Cup?",
"split": "train"
} | null |
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