data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Valley of the Kings",
"style": "rule"
} | {
"index": 8600,
"need_tools_kwargs": true,
"question": "Where was the place of burial of Mutnofret's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45^\\circ",
"style": "rule"
} | {
"index": 8601,
"need_tools_kwargs": true,
"question": "How many degrees are in the measure of the smaller angle that is formed by the hour-hand and minute-hand of a clock when it is 7:30?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 31, 1968",
"style": "rule"
} | {
"index": 8602,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Angela (1955 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": "54",
"style": "rule"
} | {
"index": 8603,
"need_tools_kwargs": true,
"question": "Jo climbs a flight of 8 stairs every day but is never allowed to take a 3-step when on any even-numbered step. Jo can take the stairs 1, 2, or 3 steps at a time, if permissible, under the new restriction. Find the number of ways Jo can climb these eight stairs.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Andrew Keegan",
"style": "rule"
} | {
"index": 8604,
"need_tools_kwargs": true,
"question": "Which actor known for his roles on the television shows \"Party of Five\" and \"7th Heaven\" also stared in a 2001 film based off of William Shakespeare's \"Othello\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Tales of Hoffmann\"",
"style": "rule"
} | {
"index": 8605,
"need_tools_kwargs": true,
"question": "What uncompleted opera was composed by the composer of Il signor Fagotto?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Grantham Town Football Club",
"style": "rule"
} | {
"index": 8606,
"need_tools_kwargs": true,
"question": "Simon WIlliam Gamble played non league football for what club located in Lincolnshire, England?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Victor Tourjansky and Giorgio Rivalta",
"style": "rule"
} | {
"index": 8607,
"need_tools_kwargs": true,
"question": "Who were the directors of the 1960 Italian epic adventure film starring the actor best known for his starring role in 1954's historical epic \"The Egyptian\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "865",
"style": "rule"
} | {
"index": 8608,
"need_tools_kwargs": true,
"question": "Equilateral $\\triangle ABC$ is inscribed in a circle of radius 2. Extend $\\overline{AB}$ through $B$ to point $D$ so that $AD=13,$ and extend $\\overline{AC}$ through $C$ to point $E$ so that $AE = 11.$ Through $D,$ draw a line $l_1$ parallel to $\\overline{AE},$ and through $E,$ draw a line $l_2$ parallel to $\\overline{AD}.$ Let $F$ be the intersection of $l_1$ and $l_2.$ Let $G$ be the point on the circle that is collinear with $A$ and $F$ and distinct from $A.$ Given that the area of $\\triangle CBG$ can be expressed in the form $\\frac{p\\sqrt{q}}{r},$ where $p, q,$ and $r$ are positive integers, $p$ and $r$ are relatively prime, and $q$ is not divisible by the square of any prime, find $p+q+r.$",
"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": "4 - \\frac{104}{29}i",
"style": "rule"
} | {
"index": 8609,
"need_tools_kwargs": true,
"question": "In a similar game, Hardy and Ramanujan both pick a complex number again. This time, the product of their numbers is $40 + 24i$, and Hardy selects $3 + 7i$. What number did Ramanujan choose?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8610,
"need_tools_kwargs": true,
"question": "Which country the performer of song The Mermaid (Shel Silverstein Song) 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": "The Curse Of Iku",
"style": "rule"
} | {
"index": 8611,
"need_tools_kwargs": true,
"question": "Which film has the director who died earlier, The Curse Of Iku or Cops And Robbers (1973 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": "Immediate Call",
"style": "rule"
} | {
"index": 8612,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, Immediate Call or Set Me Free (2014 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": "1990",
"style": "rule"
} | {
"index": 8613,
"need_tools_kwargs": true,
"question": "In which year was Prof. H. U. Hamidi appointed as Vice Chancellor of the University of Kashmir?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{2} - \\frac{1}{4e^2}",
"style": "rule"
} | {
"index": 8614,
"need_tools_kwargs": true,
"question": "Let the function $f(x) = \\frac{bx}{\\ln x} - ax$, where $e$ is the base of the natural logarithm.\n\n(I) If the tangent line to the graph of the function $f(x)$ at the point $(e^2, f(e^2))$ is $3x + 4y - e^2 = 0$, find the values of the real numbers $a$ and $b$.\n\n(II) When $b = 1$, if there exist $x_1, x_2 \\in [e, e^2]$ such that $f(x_1) \\leq f'(x_2) + a$ holds, find the minimum value of the real number $a$.",
"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": "8/9",
"style": "rule"
} | {
"index": 8615,
"need_tools_kwargs": true,
"question": "Given that p(a) = some value, p(b) = 4/15, and p(a ∪ b) = 12/15, find the value of p(a) if p(b|a) = 6/15.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "two",
"style": "rule"
} | {
"index": 8616,
"need_tools_kwargs": true,
"question": "How many BAFTA awards has the actor the producers wanted to play James Bond in Live and Let Die won?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9634",
"style": "rule"
} | {
"index": 8617,
"need_tools_kwargs": true,
"question": "A four-digit number has the following properties:\n1. The units digit equals the tens digit increased by $1$.\n2. The hundreds digit equals twice the tens digit.\n3. The thousands digit is at least twice the units digit.\n4. The number is twice a prime number.\n\nDetermine this four-digit number.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "932",
"style": "rule"
} | {
"index": 8618,
"need_tools_kwargs": true,
"question": "Richard and Shreyas are arm wrestling against each other. They will play $10$ rounds, and in each round, there is exactly one winner. If the same person wins in consecutive rounds, these rounds are considered part of the same \"streak\". How many possible outcomes are there in which there are strictly more than $3$ streaks? \n\nFor example, if we denote Richard winning by $R$ and Shreyas winning by $S$, $SSRSSRRRRR$ is one such outcome, with $4$ streaks.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "60^\\circ",
"style": "rule"
} | {
"index": 8619,
"need_tools_kwargs": true,
"question": "Sides $\\overline{AB}$ and $\\overline{EF}$ of regular hexagon $ABCDEF$ are extended to meet at point $P$. What is the degree measure of angle $P$?",
"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... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"index": 8620,
"need_tools_kwargs": true,
"question": "How many planks, each 6 arshins long and 6 vershoks wide, are needed to cover the floor of a square room with a side length of 12 arshins? Determine how many vershoks are in one arshin based on this information.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$30,000",
"style": "rule"
} | {
"index": 8621,
"need_tools_kwargs": true,
"question": "The space agency transports a new sensor, which weighs 2,000 grams, to a satellite. The cost of transportation is now $\\$15,000$ per kilogram. How much does it cost to transport this sensor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Elvis Presley and Johnny Cash",
"style": "rule"
} | {
"index": 8622,
"need_tools_kwargs": true,
"question": "What artist might have influenced the song, \"The Devil's Bleeding Crown\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{3}",
"style": "rule"
} | {
"index": 8623,
"need_tools_kwargs": true,
"question": "An intelligence station has four different passwords labeled A, B, C, and D. Each week, one of the passwords is used, and the password for each week is equally likely to be randomly selected from the three passwords not used in the previous week. If password A is used in the first week, what is the probability that password A is also used in the seventh week? Please explain your reasoning and calculations.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac{1}{660}",
"style": "rule"
} | {
"index": 8624,
"need_tools_kwargs": true,
"question": "My grandpa has 12 pieces of art, including 4 prints by Escher and 3 by Picasso. What is the probability that all four Escher prints and all three Picasso prints will be placed consecutively?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Gormsson",
"style": "rule"
} | {
"index": 8625,
"need_tools_kwargs": true,
"question": "The Danish House of Knýtlinga was lived in by Cnut the Great and his grandfather that had what last 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... | math | {
"ground_truth": "3.21",
"style": "rule"
} | {
"index": 8626,
"need_tools_kwargs": true,
"question": "David completes a piece of work in 5 days, John completes the same work in 9 days. If both of them work together, how many days are required to complete the work?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Madras",
"style": "rule"
} | {
"index": 8627,
"need_tools_kwargs": true,
"question": "Where did the director of film Nirupedalu 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": "Asking for Trouble",
"style": "rule"
} | {
"index": 8628,
"need_tools_kwargs": true,
"question": "On which movie was one of the film directed by Clare Kilner based? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "over 2 million.",
"style": "rule"
} | {
"index": 8629,
"need_tools_kwargs": true,
"question": "What is the population of the city where Merle Sande help found an Infectious Diseases Institute ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Reginald Denny",
"style": "rule"
} | {
"index": 8630,
"need_tools_kwargs": true,
"question": "A Lady's Morals starred which English aviator and amateur boxing champion?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac{1}{8}",
"style": "rule"
} | {
"index": 8631,
"need_tools_kwargs": true,
"question": "Let $x$ be a value such that $8x^2 + 7x - 1 = 0$ and $24x^2+53x-7 = 0.$ What is the value of $x$? Express your answer as a simplified common fraction.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8632,
"need_tools_kwargs": true,
"question": "Compute\n\\[\\sum_{j = 0}^\\infty \\sum_{k = 0}^\\infty 2^{-3k - j - (k + j)^2}.\\]The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Daniel Robert Elfman",
"style": "rule"
} | {
"index": 8633,
"need_tools_kwargs": true,
"question": "Who is known for working with Tim Burton; Danny Elfman or Beth Ditto?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8634,
"need_tools_kwargs": true,
"question": "Five students wrote a quiz with a maximum score of 50. The scores of four of the students were 42, 43, 46, and 49. The score of the fifth student was \\( N \\). The average (mean) of the five students' scores was the same as the median of the five students' scores. The number of values of \\( N \\) which are possible is: \n(A) 3 \n(B) 4 \n(C) 1 \n(D) 0 \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... | qa | {
"ground_truth": "Tina Turner",
"style": "rule"
} | {
"index": 8635,
"need_tools_kwargs": true,
"question": "In biographical films, Angela Bassett has played Rosa Parks and which singer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-9.59",
"style": "rule"
} | {
"index": 8636,
"need_tools_kwargs": true,
"question": "The country Omega grows and consumes only vegetables and fruits. It is known that in 2014, 1200 tons of vegetables and 750 tons of fruits were grown in Omega. In 2015, 900 tons of vegetables and 900 tons of fruits were grown. During the year, the price of one ton of vegetables increased from 90,000 to 100,000 rubles, and the price of one ton of fruits decreased from 75,000 to 70,000 rubles. By what percentage (%) did the real GDP of this country change in 2015, if the base year in Omega is 2014? Round your answer to two decimal places. If the real GDP of the country decreased, put a minus sign in the answer, and if it increased, put a plus sign.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3.5",
"style": "rule"
} | {
"index": 8637,
"need_tools_kwargs": true,
"question": "Through the points \\( A(0 ; 14) \\) and \\( B(0 ; 4) \\), two parallel lines are drawn. The first line, passing through point \\( A \\), intersects the hyperbola \\( y = \\frac{1}{x} \\) at points \\( K \\) and \\( L \\). The second line, passing through point \\( B \\), intersects the hyperbola \\( y = \\frac{1}{x} \\) at points \\( M \\) and \\( N \\).\n\nWhat is \\( \\frac{A L - A K}{B N - B 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": "Dusk",
"style": "rule"
} | {
"index": 8638,
"need_tools_kwargs": true,
"question": "What is the stage name of the female actress in Seven Psycopaths who also played in \"Somersault\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8639,
"need_tools_kwargs": true,
"question": "Are Rivière Blanche (La Tuque) and Humme (Weser) 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": "American tourist",
"style": "rule"
} | {
"index": 8640,
"need_tools_kwargs": true,
"question": "Lucy Elizabeth Fry played the lead in a television series that follows Eve who is a 19-year-old 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": "Nicole Kidman",
"style": "rule"
} | {
"index": 8641,
"need_tools_kwargs": true,
"question": "Who is the spouse of the performer of song Raise 'Em Up?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 8642,
"need_tools_kwargs": true,
"question": "Solve the system of equations: \n\\[ y(x+y)^2 = 9 \\]\n\\[ y(x^3 - y^3) = 7 \\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8643,
"need_tools_kwargs": true,
"question": "What is the remainder when 97^103 is multiplied by 7 and then divided by 17?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Who Invented Divorce?",
"style": "rule"
} | {
"index": 8644,
"need_tools_kwargs": true,
"question": "Which film was released earlier, Who Invented Divorce? or Anne Of The Indies?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "4.91",
"style": "rule"
} | {
"index": 8645,
"need_tools_kwargs": true,
"question": "A metal weight has a mass of 20 kg and is an alloy of four metals. The mass of the first metal in this alloy is one and a half times greater than that of the second, the mass of the second metal is in the ratio $3:4$ to the mass of the third, and the mass of the third metal is in the ratio $5:6$ to the mass of the fourth. Determine the mass of the third metal. Give the answer in kilograms, rounded to hundredths if necessary.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8646,
"need_tools_kwargs": true,
"question": "Given $x$ and $y$ satisfy the system of equations $\\left\\{\\begin{array}{l}x+3y=-1\\\\ x-3y=5\\end{array}\\right.$, the value of $x^{2}-9y^{2}$ is ( )\n\nA: $-5$\n\nB: $4$\n\nC: $5$\n\nD: $25$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "illustrated a number of books related to The Oz books series",
"style": "rule"
} | {
"index": 8647,
"need_tools_kwargs": true,
"question": "What did Dick Martin contribute to the Oz books series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 12, 13, 20, 21, 22, 30, 31, 50",
"style": "rule"
} | {
"index": 8648,
"need_tools_kwargs": true,
"question": "The square of the sum of the digits of the number \\( A \\) is equal to the sum of the digits of the number \\( A^2 \\). Find all such two-digit numbers \\( 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": "512\\sqrt{2}",
"style": "rule"
} | {
"index": 8649,
"need_tools_kwargs": true,
"question": "Let $T = (1+i)^{19} - (1-i)^{19}$, where $i=\\sqrt{-1}$. Determine $|T|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Melbourne, Australia",
"style": "rule"
} | {
"index": 8650,
"need_tools_kwargs": true,
"question": "What large city is located near the McCrae Homestead? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Arabian Love",
"style": "rule"
} | {
"index": 8651,
"need_tools_kwargs": true,
"question": "Which film has the director died earlier, The Barber Of Seville (1948 Film) or Arabian Love?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Mohammed Zahir Shah",
"style": "rule"
} | {
"index": 8652,
"need_tools_kwargs": true,
"question": "Noal Zaher Shah is the daughter of the seventh child of which king of Afghanistan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "49",
"style": "rule"
} | {
"index": 8653,
"need_tools_kwargs": true,
"question": "How many integers between $2$ and $100$ have only odd numbers in their prime factorizations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Fred Dinenage",
"style": "rule"
} | {
"index": 8654,
"need_tools_kwargs": true,
"question": "The presenter of \"Sky News Sunrise\" and \"This Morning\" replaced what host on \"Pass the Buck?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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[3]{4}}{6}",
"style": "rule"
} | {
"index": 8655,
"need_tools_kwargs": true,
"question": "Rationalize the denominator: $$\\frac{1}{\\sqrt[3]{2}+\\sqrt[3]{16}}$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4\\sqrt{116}",
"style": "rule"
} | {
"index": 8656,
"need_tools_kwargs": true,
"question": "In the diagram below, $ABCD$ is a trapezoid such that $\\overline{AB}\\parallel \\overline{CD}$ and $\\overline{AC}\\perp\\overline{CD}$. If $CD = 20$, $\\tan D = 2$, and $\\tan B = 2.5$, then what is $BC$?\n\n[asy]\npair A,B,C,D;\nC = (0,0);\nD = (20,0);\nA = (20,40);\nB= (30,40);\ndraw(A--B--C--D--A);\nlabel(\"$A$\",A,N);\nlabel(\"$B$\",B,N);\nlabel(\"$C$\",C,S);\nlabel(\"$D$\",D,S);\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Qing dynasty",
"style": "rule"
} | {
"index": 8657,
"need_tools_kwargs": true,
"question": "Which country Noble Consort Tong's husband 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": "zero",
"style": "rule"
} | {
"index": 8658,
"need_tools_kwargs": true,
"question": "The town of Cardin, Oklahoma is located within the Tar Creed Superfund site causing toxic areas and therefore reducing the population to what number in November 2010?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Charlotte Löwensköld",
"style": "rule"
} | {
"index": 8659,
"need_tools_kwargs": true,
"question": "What was the name of the novel written by the first female Nobel Prize winner for Literature which was adapted into a film in 1930 and 1979?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "540",
"style": "rule"
} | {
"index": 8660,
"need_tools_kwargs": true,
"question": "Suppose\n$$a(3+i)^6 + b(3+i)^5 + c(3+i)^4 + d(3+i)^3 + c(3+i)^2 + b(3+i) + a = 0,$$\nwhere $a, b, c, d$ are integers whose greatest common divisor is $1$. Determine $|d|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "May 5, 1972",
"style": "rule"
} | {
"index": 8661,
"need_tools_kwargs": true,
"question": "When did the director of film Bachelor Flat 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": "Received the nickname \"Laptop\"",
"style": "rule"
} | {
"index": 8662,
"need_tools_kwargs": true,
"question": "What was the nickname of the employee of an American company that manufactures footwear, sports, and casual apparel given by Bill Parcells because of his fondess for technology? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tiffany",
"style": "rule"
} | {
"index": 8663,
"need_tools_kwargs": true,
"question": "Mega Python vs. Gatoroid starred what singer who was born in October of 1971?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8664,
"need_tools_kwargs": true,
"question": "How many terms of the series $\\sum_{n=1}^{\\infty} \\frac{(-1)^{n-1} \\cdot n}{(2 n+1) 5^{n}}$ should be taken to calculate its sum with an accuracy of 0.01?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "170",
"style": "rule"
} | {
"index": 8665,
"need_tools_kwargs": true,
"question": "The equation\n\\[(x - \\sqrt[3]{13})(x - \\sqrt[3]{53})(x - \\sqrt[3]{103}) = \\frac{1}{3}\\]has three distinct solutions $r,$ $s,$ and $t.$ Calculate the value of $r^3 + s^3 + t^3.$",
"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",
"style": "rule"
} | {
"index": 8666,
"need_tools_kwargs": true,
"question": "Given three points O(0,0), A(-2,1), B(2,1), any point M(x,y) on curve C satisfies $|\\overrightarrow{MA} + \\overrightarrow{MB}| = \\overrightarrow{OM} \\cdot (\\overrightarrow{OA} + \\overrightarrow{OB}) + 2$ \n(1) Find the equation of curve C; \n(2) Point Q($x_0$, $y_0$) ($-2 < x_0 < 2$) is a moving point on curve C, the tangent line of curve C at point Q is l, and the coordinates of point P are (0, -1), l intersects PA and PB at points D and E, respectively. Find the ratio of the area of $\\triangle QAB$ to the area of $\\triangle PDE$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "fourteen",
"style": "rule"
} | {
"index": 8667,
"need_tools_kwargs": true,
"question": "The 1953 Auburn Tigers football team marked the 21st season as a member of an American college athletic conference that is headquartered in Birmingham Alabama, and has how many teams?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8668,
"need_tools_kwargs": true,
"question": "Are both villages, Khulak and Zehista, 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": "[\\frac{1}{3},1]",
"style": "rule"
} | {
"index": 8669,
"need_tools_kwargs": true,
"question": "Given $a\\neq 0$, let $f(x)=2\\sqrt{3}\\sin x \\cos x + 2\\cos^2 x - 1 - a$ and $g(x)=a\\log_2(x+3)-2$. If there exists $x_1 \\in [0,\\frac{\\pi}{2}]$ such that for all $x_2 \\in [1,5]$, $f(x_1)=g(x_2)$, then the range of real number $a$ 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": "no",
"style": "rule"
} | {
"index": 8670,
"need_tools_kwargs": true,
"question": "Are director of film The Mothman Prophecies (Film) and director of film Those High Grey Walls both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "128",
"style": "rule"
} | {
"index": 8671,
"need_tools_kwargs": true,
"question": "The diagonals of trapezoid \\(ABCD\\) intersect at point \\(M\\). The areas of triangles \\(ABM\\) and \\(CDM\\) are 18 and 50 units, respectively. What is the area of the trapezoid?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "C. (-3, -2] \\cup [1, 2)",
"style": "rule"
} | {
"index": 8672,
"need_tools_kwargs": true,
"question": "Given the sets \\( A = \\left\\{x \\mid x + \\frac{1}{2} \\geq \\frac{3}{2}\\right\\} \\) and \\( B = \\left\\{x \\mid x^2 + x < 6\\right\\} \\), find the intersection \\( A \\cap B \\).\n\nOptions:\nA. \\( [-3, -2) \\cup (1, 2] \\)\nB. \\( (-3, -2] \\cup (1, +\\infty) \\)\nC. \\( (-3, -2] \\cup [1, 2) \\)\nD. \\( (-\\infty, -3] \\cup (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": "343",
"style": "rule"
} | {
"index": 8673,
"need_tools_kwargs": true,
"question": "在正方体的每个面上随机填人 $1$,$2$, $\\cdots, 6$ 中的一个数字(各个面上的数字互不相 同）。再对八个顶点进行编号，使得每个顶点的编号数为其相邻三个面上的数字之积。则八个顶点的编号数之和的最大值为_____.",
"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": "Hollywood",
"style": "rule"
} | {
"index": 8674,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Men Against The Sky?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "22.5^\\circ",
"style": "rule"
} | {
"index": 8675,
"need_tools_kwargs": true,
"question": "In a diagram, what is the value of $y$? Consider a point P from which five lines are drawn creating five angles around P. The angles are labeled as $3y^\\circ$, $6y^\\circ$, $2y^\\circ$, $4y^\\circ$, and $y^\\circ$. Find the value of $y$.",
"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... | math | {
"ground_truth": "\\left(\\frac{1}{3}, 0\\right)",
"style": "rule"
} | {
"index": 8676,
"need_tools_kwargs": true,
"question": "What is the intersection of the lines given by \\(y = -3x + 1\\) and \\(y + 5 = 15x - 2\\)? Express your answer as an ordered pair, with both coordinates expressed as common fractions.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 8677,
"need_tools_kwargs": true,
"question": "A regular octagon $ABCDEFGH$ has its sides' midpoints connected to form a smaller octagon inside it. Determine the fraction of the area of the larger octagon $ABCDEFGH$ that is enclosed by this smaller octagon.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Rev. Richard Allen",
"style": "rule"
} | {
"index": 8678,
"need_tools_kwargs": true,
"question": "Who founded the predominantly African-American Methodist denomination based in the United States, located at 32 West 123rd Street in Harlem?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8679,
"need_tools_kwargs": true,
"question": "Let $f(x)=2\\sqrt{x} + \\frac{12}{\\sqrt{x}}$ and let $g(x)=2x^2-2x-3$. What is $f(g(3))$?",
"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": "\\sqrt{298}",
"style": "rule"
} | {
"index": 8680,
"need_tools_kwargs": true,
"question": "Let $x, y, z$ be real numbers such that $9x^2 + 4y^2 + 25z^2 = 1$. Find the maximum value of\n\\[8x + 3y + 15z.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{38045}{139968}",
"style": "rule"
} | {
"index": 8681,
"need_tools_kwargs": true,
"question": "What is the probability that when rolling 10 fair dice, each of the numbers from 1 to 6 appears at least once?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tacoma, Washington",
"style": "rule"
} | {
"index": 8682,
"need_tools_kwargs": true,
"question": "Where was the director of film The San Antonio Kid 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": "2",
"style": "rule"
} | {
"index": 8683,
"need_tools_kwargs": true,
"question": "Consider distinct points \\( P, Q, R, S \\) that lie on the circle defined by the equation \\( x^2 + y^2 = 16 \\) and have integer coordinates. The distances \\( PQ \\) and \\( RS \\) must be irrational numbers. Determine the greatest possible value of the ratio \\( \\frac{PQ}{RS} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Paravoor",
"style": "rule"
} | {
"index": 8684,
"need_tools_kwargs": true,
"question": "What is the place of birth of the composer of film Missi (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": "no",
"style": "rule"
} | {
"index": 8685,
"need_tools_kwargs": true,
"question": "Do both films: The Fortune Teller (1920 film) and A Man's Word have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "не более двух",
"style": "rule"
} | {
"index": 8686,
"need_tools_kwargs": true,
"question": "How many sides in a convex polygon can be equal in length to the longest diagonal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "documentary",
"style": "rule"
} | {
"index": 8687,
"need_tools_kwargs": true,
"question": "Licensed to Kill and Stations of the Elevated are both 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": "August 2, 1991",
"style": "rule"
} | {
"index": 8688,
"need_tools_kwargs": true,
"question": "When was the Canadian professional ice hockey left winger who was sent to Buffalo Sabres 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": "12.5\\sqrt{3}",
"style": "rule"
} | {
"index": 8689,
"need_tools_kwargs": true,
"question": "Two adjacent sides of a rhombus form a 60-degree angle. If each side of the rhombus measures 5 cm, what is the area of the rhombus, in square centimeters? Express your answer in simplest radical form.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "December 2, 1990",
"style": "rule"
} | {
"index": 8690,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Too Outrageous!?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(0,1)",
"style": "rule"
} | {
"index": 8691,
"need_tools_kwargs": true,
"question": "Given that the even function $f\\left(x\\right)$ is monotonically increasing on the interval $\\left[0,+\\infty \\right)$, the range of values for $x$ that satisfy $f\\left(2x-1\\right) \\lt f\\left(1\\right)$ 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": "14,674",
"style": "rule"
} | {
"index": 8692,
"need_tools_kwargs": true,
"question": "WCCW-FM serves the city with a population of what, as of 2010?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"index": 8693,
"need_tools_kwargs": true,
"question": "An equilateral triangle is surrounded by three squares. If you label the vertices of one of the squares as \\( P \\) and \\( Q \\), with \\( R \\) being a common vertex where the square and the equilateral triangle meet, and \\( S \\) and \\( T \\) being additional vertices formed by extending the sides, determine the value of \\( x \\), which represents the angle \\( \\angle QPR \\) in triangle \\( PRQ \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "25 April 1775",
"style": "rule"
} | {
"index": 8694,
"need_tools_kwargs": true,
"question": "When was Infanta Isabel Maria Of Braganza's mother 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": "no",
"style": "rule"
} | {
"index": 8695,
"need_tools_kwargs": true,
"question": "Do Kurt Joachim Fischer and Megi Luka 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": "Asian Indoor Games",
"style": "rule"
} | {
"index": 8696,
"need_tools_kwargs": true,
"question": "What is the name of the multi-sport event that was cancelled in 2011?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{3}",
"style": "rule"
} | {
"index": 8697,
"need_tools_kwargs": true,
"question": "Given that \\( AC = 1 \\ \\text{cm} \\) and \\( AD = 4 \\ \\text{cm} \\), determine the relationship between the areas of triangles \\( \\triangle ABC \\) and \\( \\triangle CBD \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "6,078,589",
"style": "rule"
} | {
"index": 8698,
"need_tools_kwargs": true,
"question": "Braathens Helikopter was a helicopter airline based at Stavanger Airport and another airport that had how many passengers in 2014?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "150",
"style": "rule"
} | {
"index": 8699,
"need_tools_kwargs": true,
"question": "Namjoon had 250 pieces of colored paper. Namjoon gave Yuna 60 pieces of colored paper, resulting Namjoon had 20 fewer than Yuna. How many pieces of colored paper did Yuna have at first?",
"split": "train"
} | null |
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