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": "4.8",
"style": "rule"
} | {
"index": 600,
"need_tools_kwargs": true,
"question": "The base of an isosceles triangle is 8 cm, and the legs are 12 cm each. Find the length of the segment connecting the points where the angle bisectors of the angles at the base intersect the legs of the 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... | qa | {
"ground_truth": "Ball-and-socket joints",
"style": "rule"
} | {
"index": 601,
"need_tools_kwargs": true,
"question": "What specific type of joints are in a giraffe's neck vertebrae?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "52",
"style": "rule"
} | {
"index": 602,
"need_tools_kwargs": true,
"question": "What are the last two digits of $2^{3^{4^{\\cdots^{2019}}}}$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 603,
"need_tools_kwargs": true,
"question": "The price of 2 cherries is the same as the price of 3 apples, and an apple is 12 times the size of a cherry. If a mother buys a box of apples with the same size as a box of cherries using the money for 1 box of cherries, how many boxes of apples can she buy? Please show your reasoning.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Vazhiyorakazchakal",
"style": "rule"
} | {
"index": 604,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, The Bridge To Nowhere or Vazhiyorakazchakal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 605,
"need_tools_kwargs": true,
"question": "Are both director of film Fine Feathers (1915 Film) and director of film The Heart Of The World from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "20 April 1945",
"style": "rule"
} | {
"index": 606,
"need_tools_kwargs": true,
"question": "When did the director of film Hitlerjunge Quex (Film) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lord Zedd",
"style": "rule"
} | {
"index": 607,
"need_tools_kwargs": true,
"question": "Robert Axelrod starred in the 1990 film \"Repo Jake\", who is he known as in the show \"Mighty Morphin Power Rangers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "m \\in \\left(\\frac{1}{3}, +\\infty\\right)",
"style": "rule"
} | {
"index": 608,
"need_tools_kwargs": true,
"question": "Given the quadratic inequality in one variable $mx^2-(1-m)x+m\\geq0$ has the solution set $\\mathbb{R}$, find the range of the real number $m$.",
"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": "professional tennis player",
"style": "rule"
} | {
"index": 609,
"need_tools_kwargs": true,
"question": "Michael Chang and Patrick McEnroe were 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... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 610,
"need_tools_kwargs": true,
"question": "Consider an acute triangle \\( \\triangle ABC \\) with isosceles triangles \\( \\triangle DAC \\), \\( \\triangle EAB \\), and \\( \\triangle FBC \\) constructed externally such that \\( DA = DC \\), \\( EA = EB \\), and \\( FB = FC \\). The angles are defined as \\( \\angle ADC = 2 \\angle BAC \\), \\( \\angle BEA = 2 \\angle ABC \\), and \\( \\angle CFB = 2 \\angle ACB \\). Let \\( D' \\) be the intersection of line \\( DB \\) and \\( EF \\), \\( E' \\) be the intersection of line \\( EC \\) and \\( DF \\), and \\( F' \\) be the intersection of line \\( FA \\) and \\( DE \\). Calculate the value of \\( \\frac{DB}{DD'} + \\frac{EC}{EE'} + \\frac{FA}{FF'} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{2}{21}",
"style": "rule"
} | {
"index": 611,
"need_tools_kwargs": true,
"question": "A Sudoku matrix is defined as a \\(9 \\times 9\\) array with entries from \\(\\{1,2, \\ldots, 9\\}\\) and with the constraint that each row, each column, and each of the nine \\(3 \\times 3\\) boxes that tile the array contains each digit from 1 to 9 exactly once. A Sudoku matrix is chosen at random (so that every Sudoku matrix has equal probability of being chosen). We know two of the squares in this matrix. What is the probability that the square marked by ? contains \\(x\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mexico City",
"style": "rule"
} | {
"index": 612,
"need_tools_kwargs": true,
"question": "Where was the director of film Club Sandwich (Film) born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May Revolution",
"style": "rule"
} | {
"index": 613,
"need_tools_kwargs": true,
"question": "The Argentine National Anthem was adopted 3 years after which event that led to the removal of Viceroy Baltasar Hildalgo de Cisneros?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Camomile Lawn",
"style": "rule"
} | {
"index": 614,
"need_tools_kwargs": true,
"question": "Iron Man 3 stars a British-American actress who made her first onscreen appearance at age 10 in the 1992 television adaptation of what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 615,
"need_tools_kwargs": true,
"question": "Handsome memorized over a hundred words in seven days. The ratio of the number of words memorized in the first three days to the number of words memorized in the last four days is $3:4$, and the ratio of the number of words memorized in the last three days to the number of words memorized in the first four days is $5:6$. How many words did Handsome memorize on the fourth day?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Goat Amalthea with the Infant Jupiter and a Faun",
"style": "rule"
} | {
"index": 616,
"need_tools_kwargs": true,
"question": "Which sculpture is the earliest known work by Gian Lorenzo Bernini?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Centro Sperimentale di Cinematografia",
"style": "rule"
} | {
"index": 617,
"need_tools_kwargs": true,
"question": "Where did the director of film So Sweet... So Perverse study?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.8",
"style": "rule"
} | {
"index": 618,
"need_tools_kwargs": true,
"question": "One addend is 0.57, and the other addend is 0.23. Find the sum.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "16.0",
"style": "rule"
} | {
"index": 619,
"need_tools_kwargs": true,
"question": "Tanya and Katya made an experiment and obtained two positive real numbers, each of which was between 4 and 100 inclusive. Tanya wrote the two numbers \\( x \\) and \\( y \\) and found their average, while Katya wrote the second number twice and took the average of the three numbers \\( x \\), \\( y \\), and \\( y \\). What is the maximum number by which their results may differ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "511",
"style": "rule"
} | {
"index": 620,
"need_tools_kwargs": true,
"question": "Let $x_1,x_2,\\dots,x_n$ be a sequence of integers, such that $-1\\leq x_i\\leq 2$, for $i=1,2,\\dots,n$, $x_1+x_2+\\dots+x_n = 7$ and $x_1^8+x_2^8+\\dots x_n^8 =2009$. Let $m$ and $M$ be the minimal and maximal possible value of $x_1^9+x_2^9+\\dots x_n^9$, respectively. Find the $\\frac{M}{m}$. Round your answer to nearest integer, 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... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 621,
"need_tools_kwargs": true,
"question": "What nationality of the company that published Planetary Report?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "November 3, 1951",
"style": "rule"
} | {
"index": 622,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film A Texas Steer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "ninth",
"style": "rule"
} | {
"index": 623,
"need_tools_kwargs": true,
"question": "Auisle or Óisle, was a Viking leader in Ireland and Scotland in the mid-late of which century, a nother Viking leader, Halfdan Ragnarsson, is sometimes considered a brother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 624,
"need_tools_kwargs": true,
"question": "Are the directors of films Chhalia and Laramie Mountains (Film) both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Norman Rockwell",
"style": "rule"
} | {
"index": 625,
"need_tools_kwargs": true,
"question": "What is the first and last name of the artist who received the 1969 \"Artist of the Year\" award from the Artists Guild of New York?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "George Albert Kerr",
"style": "rule"
} | {
"index": 626,
"need_tools_kwargs": true,
"question": "Who was born earlier, Péter Szabó (Swimmer) or George Albert Kerr?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 627,
"need_tools_kwargs": true,
"question": "已知 0\\leq y\\leq x\\leq\\df{\\pi}{2}，且 4\\cos^2y+4\\cos x\\sin y-4\\cos^2x\\leq 1. 则 x+y 的取值范围是形如 \\left[0,\\frac{k\\pi}{6}\\right]\\cup\\left[\\frac{m\\pi}{6},n\\pi\\right]，请给出k+m+n的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sheikh Mohammad Abdullah",
"style": "rule"
} | {
"index": 628,
"need_tools_kwargs": true,
"question": "What is the full name of the Indian politician who is quoted comparing Kashmir's Martyrs' Day with the Jallianwala Bagh Massacre?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "43",
"style": "rule"
} | {
"index": 629,
"need_tools_kwargs": true,
"question": "A large, regular hexagon is drawn on the ground, and a man stands at one of the vertices. The man flips a coin. If the coin lands heads, he walks counterclockwise along the edge of the hexagon until reaching the next nearest vertex. If the coin lands tails, he walks clockwise around the hexagon until reaching another vertex. Once there, he repeats the process. The man flips the coin a total of six times. What is the probability that the man is standing where he started when he is finished?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": "Virgin EMI Records",
"style": "rule"
} | {
"index": 630,
"need_tools_kwargs": true,
"question": "\"Lionhearted\" is a song from an album released internationally under which record label ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 631,
"need_tools_kwargs": true,
"question": "To find the smallest value of \\( n \\) such that the system of equations\n$$\n\\left\\{\\begin{array}{l}\n\\sin x_{1}+\\sin x_{2}+\\cdots+\\sin x_{n}=0, \\\\\n\\sin x_{1}+2 \\sin x_{2}+\\cdots+n \\sin x_{n}=100 .\n\\end{array}\\right.\n$$\nhas a solution.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 632,
"need_tools_kwargs": true,
"question": "For which value of $\\lambda$ is there a pair of values $x$ and $y$ that satisfies the following system of equations:\n\n$$\nx^{2}+y^{2}=8 x+6 y ; \\quad 9 x^{2}+y^{2}=6 y ; \\quad y^{2}+9=\\lambda x+6 y+\\lambda\n$$",
"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": "19",
"style": "rule"
} | {
"index": 633,
"need_tools_kwargs": true,
"question": "如图, 在棱长为 1 的正方体 \\(A B C D-A_{1} B_{1} C_{1} D_{1}\\) 中, \\(P, Q, R\\) 分别是棱 \\(A B, A D, A A_{1}\\) 的中点。以 \\(\\triangle P Q R\\) 为底面作一个直三棱柱，使其另一个底面的三个顶点也都在正方体的表面上。求这个直三棱柱的体积。原始答案的形式为\\(\\frac{k}{m}\\)，请给出k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left( -\\frac{4}{3}, \\infty \\right)",
"style": "rule"
} | {
"index": 634,
"need_tools_kwargs": true,
"question": "Solve the inequality\n\\[ 2 - \\frac{1}{3x + 4} < 5. \\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Alberto Savinio",
"style": "rule"
} | {
"index": 635,
"need_tools_kwargs": true,
"question": "Who is the sibling of the painter of The Melancholy of Departure?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Motown's Tamla label",
"style": "rule"
} | {
"index": 636,
"need_tools_kwargs": true,
"question": "The artist that released the album Stevie at the Beach was signed to what label at the age of 11?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1993",
"style": "rule"
} | {
"index": 637,
"need_tools_kwargs": true,
"question": "In what year was the comedy starring Shane McDermott and an actor known for his role in \"Bernie\" released?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Process",
"style": "rule"
} | {
"index": 638,
"need_tools_kwargs": true,
"question": "What is the nickname of the Philadelphia 76ers basketball player who was injured during the 2016-17 along with Ben Simmons, Jahlil Okafor, Jerryd Bayless, and Robert Covington?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 639,
"need_tools_kwargs": true,
"question": "\\( P_1, P_2, \\ldots, P_n \\) are points in the plane and \\( r_1, r_2, \\ldots, r_n \\) are real numbers such that the distance between \\( P_i \\) and \\( P_j \\) is \\( r_i + r_j \\) (for \\( i \\neq j \\)). Find the largest \\( n \\) for which this is possible.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "86",
"style": "rule"
} | {
"index": 640,
"need_tools_kwargs": true,
"question": "For how many integers $N$ between $1$ and $1990$ is the improper fraction $\\frac{N^2+7}{N+4}$ not in lowest terms? Provide the number of such integers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "116",
"style": "rule"
} | {
"index": 641,
"need_tools_kwargs": true,
"question": "Ava and Tiffany participate in a knockout tournament consisting of a total of $32$ players. In each of the $5$ rounds, the remaining players are paired uniformly at random. In each pair, both players are equally likely to win, and the loser is knocked out of the tournament. The probability that Ava and Tiffany play each other during the tournament is $\\frac{a}{b}$, where $a$ and $b$ are relatively prime positive integers. Compute $100a + b$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 642,
"need_tools_kwargs": true,
"question": "Were both Altimont Butler and Mohamed Adan, born in the same place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Minnesota",
"style": "rule"
} | {
"index": 643,
"need_tools_kwargs": true,
"question": "The Rochester Bugs were a minor league baseball team based in the third-largest city of what U.S. state?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Vasu Dixit",
"style": "rule"
} | {
"index": 644,
"need_tools_kwargs": true,
"question": "The Dewarists has featured the folk/fusion band who has which member on vocals and rhythm?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1483",
"style": "rule"
} | {
"index": 645,
"need_tools_kwargs": true,
"question": "In what year did the monarch whose flagship was called Griffen become king of Norway ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Amazon",
"style": "rule"
} | {
"index": 646,
"need_tools_kwargs": true,
"question": "Which company, featured in articles from both Wired and Cnbc | World Business News Leader, introduced an invite-only deal system during a summer event for its members and is also considered to provide a life-changing opportunity for its sellers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Edgard Varèse",
"style": "rule"
} | {
"index": 647,
"need_tools_kwargs": true,
"question": "Which french composer inspired Moonchild: Songs Without Words?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Ann Morriss",
"style": "rule"
} | {
"index": 648,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Fighting Man Of The Plains?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "65\\%",
"style": "rule"
} | {
"index": 649,
"need_tools_kwargs": true,
"question": "In a company, some percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women, given that it is 65 percent?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "James Brewster",
"style": "rule"
} | {
"index": 650,
"need_tools_kwargs": true,
"question": "What was the name of the carriage builder to whom painter Shepard Alonzo Mount was apprenticed as a young 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": "The Heart Buster",
"style": "rule"
} | {
"index": 651,
"need_tools_kwargs": true,
"question": "Which film has the director who was born first, Passing Strange (Disambiguation) or The Heart Buster?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "French Army",
"style": "rule"
} | {
"index": 652,
"need_tools_kwargs": true,
"question": "The 69th Pennsylvania Infantry Companies I and K wore a uniform reminiscent of regiments of which army?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "12 October 1918",
"style": "rule"
} | {
"index": 653,
"need_tools_kwargs": true,
"question": "When was the director of film Chakrapani 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": "The Cat and Fiddle",
"style": "rule"
} | {
"index": 654,
"need_tools_kwargs": true,
"question": "What road in England summits at 1689 ft above sea level?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "30 October 1649",
"style": "rule"
} | {
"index": 655,
"need_tools_kwargs": true,
"question": "What is the date of death of Charles D'Albert D'Ailly'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": "26",
"style": "rule"
} | {
"index": 656,
"need_tools_kwargs": true,
"question": "Steven \"Steve\" Smith is a politician representing a disctrict that includes a town with how many lakes and ponds?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sergei Sergeyevich Prokofiev",
"style": "rule"
} | {
"index": 657,
"need_tools_kwargs": true,
"question": "Who dies first Benjamin Britten or Sergei Prokofiev?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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^\\circ",
"style": "rule"
} | {
"index": 658,
"need_tools_kwargs": true,
"question": "In the diagram below, $\\overline{AB}\\parallel \\overline{CD}$ and $\\angle AXE$ is $108^\\circ$ less than 3 times $\\angle CYX$. Find $\\angle BXY$.\n\n[asy]\n\nunitsize(1inch);\n\npair A,B,C,D,X,Y,EE,F;\n\nA = (0,0);\n\nB=(1,0);\n\nC = (0,0.8);\n\nD=(1,0.8);\n\nEE = (0.35,-0.3);\n\nF = (0.8,1.1);\n\ndraw(EE--F);\n\ndraw(A--B);\n\ndraw(C--D);\n\ndot(A);\n\ndot(B);\n\ndot(C);\n\ndot(D);\n\ndot(EE);\n\ndot(F);\n\nlabel(\"$E$\",EE,S);\n\nlabel(\"$F$\",F,N);\n\nX = intersectionpoint(A--B,EE--F);\n\nY = intersectionpoint(C--D,EE--F);\n\nlabel(\"$X$\",X,NNW);\n\nlabel(\"$Y$\",Y,NNW);\n\nlabel(\"$A$\",A,W);\n\nlabel(\"$B$\",B,E);\n\nlabel(\"$C$\",C,W);\n\nlabel(\"$D$\",D,E);\n\ndot(X);\n\ndot(Y);\n\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": 659,
"need_tools_kwargs": true,
"question": "For what maximum integer \\( n \\) do two solutions of the equation \\( x^3 - (n+9)x^2 + (2n^2 - 3n - 34)x + 2(n-4)(n+3) = 0 \\) exceed 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": "Jean David-Weill",
"style": "rule"
} | {
"index": 660,
"need_tools_kwargs": true,
"question": "Who was born earlier, Russell Johnson or Jean David-Weill?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Supreme Court case",
"style": "rule"
} | {
"index": 661,
"need_tools_kwargs": true,
"question": "What do Cruzan v. Director, Missouri Department of Health and Bolling v. Sharpe 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... | qa | {
"ground_truth": "23 October 1910",
"style": "rule"
} | {
"index": 662,
"need_tools_kwargs": true,
"question": "What is the date of death of Isaravongs Vorarajakumara'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": "3rd",
"style": "rule"
} | {
"index": 663,
"need_tools_kwargs": true,
"question": " Stipe Miocic has tied the record for most successful title defenses held with Randy Couture, Tim Sylvia, Brock Lesnar an an american mixed martial artists who is ranked what in UFC's official heavyweight rankings?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Russia",
"style": "rule"
} | {
"index": 664,
"need_tools_kwargs": true,
"question": "What nationality is the founder of magazine Vremya (Magazine)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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. 7",
"style": "rule"
} | {
"index": 665,
"need_tools_kwargs": true,
"question": "Given the universal set $U=\\{1, 2, 3, 4, 5\\}$, and a set $A=\\{x|x^2 - 6x + 5 = 0, x \\in \\mathbb{R}\\}$. Let $B$ be a proper subset of the complement of $A$ with respect to $U$. The number of different sets $B$ is ( ).\n\nA. 5 \nB. 6 \nC. 7 \nD. 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... | qa | {
"ground_truth": "inReach",
"style": "rule"
} | {
"index": 666,
"need_tools_kwargs": true,
"question": "Eartha is located within the headquarters of a producer of personal satellite tracking, messaging, and navigation technology, whose main product is what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-3.0",
"style": "rule"
} | {
"index": 667,
"need_tools_kwargs": true,
"question": "If $\\tan x = 2,$ then find $\\tan \\left( x + \\frac{\\pi}{4} \\right).$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "46",
"style": "rule"
} | {
"index": 668,
"need_tools_kwargs": true,
"question": "A webinar lasts exactly 3,600 seconds. In total, how many ways are there to divide this webinar into $n$ periods of $m$ seconds, where $n$ and $m$ are positive integers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 669,
"need_tools_kwargs": true,
"question": "Consider an isosceles triangle with congruent sides each measuring \\( a \\) and a semi-perimeter \\( s \\). One of the base angles of this triangle is a right angle. Given that the product of the base and twice the triangle's height to the base equals \\( s^2 \\), determine the measure, in degrees, of the vertex angle at the base.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dwight",
"style": "rule"
} | {
"index": 670,
"need_tools_kwargs": true,
"question": "What is the middle name of the host of the Comedy Central show rated No. 1 among 18-24 year old men in its time slot?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 671,
"need_tools_kwargs": true,
"question": "In triangle $ABC,$ $\\angle A,$ $\\angle B,$ and $\\angle C$ form an arithmetic sequence. The length of the altitude from $B$ to $\\overline{AC}$ is equal to $AB - BC.$ Find all possible values of\n\\[\\sin \\frac{C - A}{2}.\\]Enter all possible values, separated by commas.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... | math | {
"ground_truth": "11:18",
"style": "rule"
} | {
"index": 672,
"need_tools_kwargs": true,
"question": "The electronic clock on the International Space Station displayed time in the format HH:MM. Due to an electromagnetic storm, the device malfunctioned, and each digit on the display either increased by 1 or decreased by 1. What was the actual time of the storm if the clock displayed 20:09 immediately after 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": "Frederick McCarthy Forsyth",
"style": "rule"
} | {
"index": 673,
"need_tools_kwargs": true,
"question": "Which author wrote \"The Day of the Jackal\", Frederick Forsyth or Jack London?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 674,
"need_tools_kwargs": true,
"question": "Are both villages, Drugovo and Nurabad, Taft, 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": "304",
"style": "rule"
} | {
"index": 675,
"need_tools_kwargs": true,
"question": "If the number written on the board is divisible by 19, it is divided by 19; if not, 17 is added to it. After this, the new number is written in place of the old one. Initially, a natural number less than 17 was written on the board. What is the largest possible number that could be obtained after several allowed operations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 676,
"need_tools_kwargs": true,
"question": "Let's consider a two-digit number $AB$. Before reversing its digits to form a second two-digit number, subtract 1 from digit $B$ (if $B\\neq0$). After this adjustment, reverse the digits to form another number, and then subtract the lesser of the two numbers from the greater one. What are the possible prime factors of the difference if $A \\neq B$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 677,
"need_tools_kwargs": true,
"question": "Which country the composer of song Let'S All Chant 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... | math | {
"ground_truth": "\\frac{11}{16}",
"style": "rule"
} | {
"index": 678,
"need_tools_kwargs": true,
"question": "Teams \\( A \\) and \\( B \\) are playing a series of matches where each team has an equal chance of winning any single match. Team \\( A \\) must win 2 matches, while team \\( B \\) must win 3 matches to win the series. Calculate the probability that team \\( A \\) wins the 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... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 679,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Code 8 (2016 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": "Javier Ángel Encinas Bardem",
"style": "rule"
} | {
"index": 680,
"need_tools_kwargs": true,
"question": "The Ages of Lulu starred which Academy Award-winning Spanish actor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 681,
"need_tools_kwargs": true,
"question": "Are both Azad, Sistan And Baluchestan and Aliqoli 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": "Australian Film, Television and Radio School",
"style": "rule"
} | {
"index": 682,
"need_tools_kwargs": true,
"question": "Where did the director of film Ten Canoes study?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wicket W. Warrick",
"style": "rule"
} | {
"index": 683,
"need_tools_kwargs": true,
"question": "The actor of character Professor Filius Flitwick played what character in \"Return of the Jedi\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "4 Tune Kookies",
"style": "rule"
} | {
"index": 684,
"need_tools_kwargs": true,
"question": "Indian film score composer, music director, music arranger, drummer and singer Ranjit Barot is the former drummer of what Indian classic rock band?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1100",
"style": "rule"
} | {
"index": 685,
"need_tools_kwargs": true,
"question": "Richard likes to solve problems from the IMO Shortlist. In 2013, Richard solves $5$ problems each Saturday and $7$ problems each Sunday. He has school on weekdays, so he \"only\" solves $2$, $1$, $2$, $1$, $2$ problems on each Monday, Tuesday, Wednesday, Thursday, and Friday, respectively, with the exception of December 3, 2013, where he solved $60$ problems out of boredom. Altogether, how many problems does Richard solve in 2013?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mary Stevens, M.D.",
"style": "rule"
} | {
"index": 686,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, A Hopeless Case or Mary Stevens, M.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... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"index": 687,
"need_tools_kwargs": true,
"question": "过抛物线$y^{2}=4x$的焦点$F$作直线$l$，与抛物线交于$A、B$两点，$M(4,0)$，延长$AM、BM$，与抛物线交于$C、D$两点。求$\\frac{S_{\\triangle CDM}}{S_{\\triangle ABM}}$的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Genoa",
"style": "rule"
} | {
"index": 688,
"need_tools_kwargs": true,
"question": "Where was the director of film La Morte Risale A Ieri Sera 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": "1",
"style": "rule"
} | {
"index": 689,
"need_tools_kwargs": true,
"question": "Let $ 0 \\le \\alpha, \\beta, \\gamma \\le \\frac{\\pi}{2}$ satisfy the conditions\r\n\r $ \\sin \\alpha\\plus{}\\sin \\beta\\plus{}\\sin \\gamma\\equal{}1, \\sin \\alpha \\cos 2\\alpha\\plus{}\\sin \\beta\\cos 2\\beta\\plus{}\\sin \\gamma \\cos 2\\gamma\\equal{}\\minus{}1.$ \r\n\r\nFind all possible values of $ \\sin^2 \\alpha\\plus{}\\sin^2 \\beta\\plus{}\\sin^2 \\gamma$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "180,000",
"style": "rule"
} | {
"index": 690,
"need_tools_kwargs": true,
"question": "Rahul has some savings in National Savings Certificate and Public Provident Fund. One-third of his savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. He has saved Rs. 72,000 in Public Provident Fund. What is the total amount of his savings?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "112",
"style": "rule"
} | {
"index": 691,
"need_tools_kwargs": true,
"question": "In triangle $XYZ$, $XY = 7$, $YZ = 24$, $ZX = 25$, and point $M$ is the intersection of the medians. Points $X'$, $Y'$, and $Z'$ are the images of $X$, $Y$, and $Z$, respectively, after a $180^\\circ$ rotation about $M$. What is the area of the union of the two regions enclosed by the triangles $XYZ$ and $X'Y'Z'$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 692,
"need_tools_kwargs": true,
"question": "Determine how many integer values of \\( n \\) make the expression \\( 5400 \\cdot \\left(\\frac{3}{4}\\right)^n \\) an integer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Poochie",
"style": "rule"
} | {
"index": 693,
"need_tools_kwargs": true,
"question": "What was the character name, for an Emmy Award winning actress, in the movie \"Five Minutes to 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": "June 18, 2006",
"style": "rule"
} | {
"index": 694,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Damned Don'T Cry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "TAFKAP",
"style": "rule"
} | {
"index": 695,
"need_tools_kwargs": true,
"question": "What was the acronym created to refer to Prince Rogers Nelson following his contract dispute with Warner Bros.?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Apatosaurus",
"style": "rule"
} | {
"index": 696,
"need_tools_kwargs": true,
"question": "What kind of dinosaur does Raymond Ochoa voice in the Pixar film \"The Good Dinosaur\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 697,
"need_tools_kwargs": true,
"question": "Are Haniyan and Arzuvaj both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{33}{65}",
"style": "rule"
} | {
"index": 698,
"need_tools_kwargs": true,
"question": "Given vectors $a=(\\cos α, \\sin α)$ and $b=(\\cos β, \\sin β)$, with $|a-b|= \\frac{2 \\sqrt{5}}{5}$, find the value of $\\cos (α-β)$.\n\n(2) Suppose $α∈(0,\\frac{π}{2})$, $β∈(-\\frac{π}{2},0)$, and $\\cos (\\frac{5π}{2}-β) = -\\frac{5}{13}$, find the value of $\\sin α$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "48",
"style": "rule"
} | {
"index": 699,
"need_tools_kwargs": true,
"question": "Compute the number of ordered pairs of complex numbers \\((u, v)\\) such that \\(uv = 10\\) and such that the real and imaginary parts of \\(u\\) and \\(v\\) are integers.",
"split": "train"
} | null |
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