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": "South America",
"style": "rule"
} | {
"index": 1400,
"need_tools_kwargs": true,
"question": "Sedum and Coriaria, both extend into which continent?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "night of July 13-14, 1966",
"style": "rule"
} | {
"index": 1401,
"need_tools_kwargs": true,
"question": "Violated Angels is a film based on a mass murder spree which took place when?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "647",
"style": "rule"
} | {
"index": 1402,
"need_tools_kwargs": true,
"question": "Misha rolls a standard, fair six-sided die until she rolls $1-2-3$ in that order on three consecutive rolls. The probability that she will roll the die an odd number of times is $\\dfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "7 March 1984",
"style": "rule"
} | {
"index": 1403,
"need_tools_kwargs": true,
"question": "When was one of the co founder of GF Biochemicals born who was also a a French professional footballer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{3 \\sqrt{3}}{2}",
"style": "rule"
} | {
"index": 1404,
"need_tools_kwargs": true,
"question": "In triangle $∆ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. The vectors $\\overset{→}{m}=(a, \\sqrt{3b})$ and $\\overset{→}{n}=(\\cos A,\\sin B)$ are parallel.\n\n(1) Find $A$;\n\n(2) If $a= \\sqrt{7}$, $b=2$, find the area of triangle $∆ABC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac{8}{27}",
"style": "rule"
} | {
"index": 1405,
"need_tools_kwargs": true,
"question": "Given that a match between two people is played with a best-of-five-games format, where the winner is the first to win three games, and that the probability of person A winning a game is $\\dfrac{2}{3}$, calculate the probability that person A wins with a score of $3:1$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Winslow Cemetery",
"style": "rule"
} | {
"index": 1406,
"need_tools_kwargs": true,
"question": "Where was the place of burial of Resolved White's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$75",
"style": "rule"
} | {
"index": 1407,
"need_tools_kwargs": true,
"question": "Lynne bought 7 books about cats and 2 books about the solar system. She also bought 3 magazines. Each book cost 7$ and each magazine cost $4. How much did Lynne spend in all?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2500",
"style": "rule"
} | {
"index": 1408,
"need_tools_kwargs": true,
"question": "We have a $100\\times100$ garden and we’ve plant $10000$ trees in the $1\\times1$ squares (exactly one in each.). Find the maximum number of trees that we can cut such that on the segment between each two cut trees, there exists at least one uncut tree.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "127",
"style": "rule"
} | {
"index": 1409,
"need_tools_kwargs": true,
"question": "Isosceles $\\triangle ABC$ has a right angle at $C$. Point $P$ is inside $\\triangle ABC$, such that $PA=11$, $PB=7$, and $PC=6$. Legs $\\overline{AC}$ and $\\overline{BC}$ have length $s=\\sqrt{a+b\\sqrt{2}}$, where $a$ and $b$ are positive integers. What is the value of $a+b$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "19",
"style": "rule"
} | {
"index": 1410,
"need_tools_kwargs": true,
"question": "A pizzeria in Castroville creates its own special blend of shredded cheese at a cost of $696.05 per kilogram. The blend includes mozzarella, at $504.35 per kilogram, and romano cheese, at $887.75 per kilogram. The employees have already shredded some mozzarella cheese and need to shred 18.999999999999986 kilograms of romano cheese. How many kilograms of mozzarella cheese have they shredded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Samantha Zoe Womack",
"style": "rule"
} | {
"index": 1411,
"need_tools_kwargs": true,
"question": "Charlie Cotton is a character who had a one night stand with the character played by which British actress and 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... | qa | {
"ground_truth": "Delta Connection",
"style": "rule"
} | {
"index": 1412,
"need_tools_kwargs": true,
"question": "Southeastern Airlines was acquired by a carrier of what regional airline that operates short and medium-haul routes?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "132",
"style": "rule"
} | {
"index": 1413,
"need_tools_kwargs": true,
"question": "Some people in Hong Kong express $\\frac{2}{8}$ as $8$th Feb and others express $\\frac{2}{8}$ as $2$nd Aug. This can be confusing as when we see $\\frac{2}{8}$, we don’t know whether it is $8$th Feb or $2$nd Aug. However, it is easy to understand $\\frac{9}{22}$ or $\\frac{22}{9}$ as $22$nd Sept, because there are only $12$ months in a year. How many dates in a year can cause this confusion?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1414,
"need_tools_kwargs": true,
"question": "If the sides of any triangle \\(A B C\\) are extended by their own lengths, the area of the triangle formed by the endpoints is seven times that of the original triangle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 1415,
"need_tools_kwargs": true,
"question": "If real numbers $x$ and $y$ satisfy: $x$, $y > 0$, $3xy-x-y-1=0$, then the minimum value of $xy$ is ( )\n\nA: $1$\n\nB: $2$\n\nC: $3$\n\nD: $4$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Phyllis Bedells",
"style": "rule"
} | {
"index": 1416,
"need_tools_kwargs": true,
"question": "What ballerina danced at a cinema currently operated by Cineworld on the north side of Leicester Square?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chickasaw Nation",
"style": "rule"
} | {
"index": 1417,
"need_tools_kwargs": true,
"question": "In 2010 Richard Jason Satawk \"R. J.\" Harris unsuccessfully challenged a member of what nation for the Republican Party nomination in the primary election for Oklahoma's 4th congressional district?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Singapore",
"style": "rule"
} | {
"index": 1418,
"need_tools_kwargs": true,
"question": "Where did the director of film Maya (1999 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": "Brit Awards \"Critics' Choice\" award",
"style": "rule"
} | {
"index": 1419,
"need_tools_kwargs": true,
"question": "What award was won in 2009 by the band that had an English musician who was born on 28 August 1986?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sheldon Lee Glashow",
"style": "rule"
} | {
"index": 1420,
"need_tools_kwargs": true,
"question": "What Metcalf Professor of Mathematics and Physics at Boston University worked with John Iliopoulos on his prediction of the charm quark?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3466",
"style": "rule"
} | {
"index": 1421,
"need_tools_kwargs": true,
"question": "Some integers, when divided by $\\frac{5}{7}, \\frac{7}{9}, \\frac{9}{11}, \\frac{11}{13}$ respectively, yield mixed numbers where the fractional parts are $\\frac{2}{5}, \\frac{2}{7}, \\frac{2}{9}, \\frac{2}{11}$ respectively. What is the smallest integer greater than 1 that satisfies these conditions?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kyle Greenwood",
"style": "rule"
} | {
"index": 1422,
"need_tools_kwargs": true,
"question": "Which Canadan professional wrestler was part of the tag team known as reDRagon with Bobby Fish ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1423,
"need_tools_kwargs": true,
"question": "What is the largest possible height of a right cylinder with radius $3$ that can fit in a cube with side length $12$? The original answer is in the form k\\sqrt{3}-m\\sqrt{2}. Please give the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 1424,
"need_tools_kwargs": true,
"question": "In a regular tetrahedron \\(ABCD\\), let \\(M\\) and \\(N\\) be the midpoints of edges \\(AB\\) and \\(CD\\) respectively. Determine the angle between segment \\(MN\\) and edge \\(AD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lyngby",
"style": "rule"
} | {
"index": 1425,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Girl And The Count?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "65821034183",
"style": "rule"
} | {
"index": 1426,
"need_tools_kwargs": true,
"question": "Find the value of 658217 x 99999.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "January 26, 1903",
"style": "rule"
} | {
"index": 1427,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Along The Rio Grande?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wesley Earl \"Wes\" Craven",
"style": "rule"
} | {
"index": 1428,
"need_tools_kwargs": true,
"question": "Between Wes Craven and Alex Segal, which filmmaker had more diverse job experiences?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nicolas Hayek",
"style": "rule"
} | {
"index": 1429,
"need_tools_kwargs": true,
"question": "The luxury watch company Longines is currently owned by a company founded by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "stepfather",
"style": "rule"
} | {
"index": 1430,
"need_tools_kwargs": true,
"question": "How was one of the cheif figures of the Catilinarian conspiracy connected to a general who played a critical role in the transformation of the Roman Republic?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "99",
"style": "rule"
} | {
"index": 1431,
"need_tools_kwargs": true,
"question": "In a computer science class, Mr. Johnson compiled the results of a test scored by six students. He entered their scores one by one into a computer program, which calculated the class average after each entry in such a way that the average was an integer after each entry. The scores in ascending order were 65, 72, 78, 84, 90, and 99. Determine the second last score that Mr. Johnson entered, ensuring that all average calculations remained integers after each entry.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Giant Squid",
"style": "rule"
} | {
"index": 1432,
"need_tools_kwargs": true,
"question": "What is the name of the band who made songs about an event that coincided with a deadly summer heat wave and polio epidemic in the United States that drove thousands of people to seaside resorts?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9.0",
"style": "rule"
} | {
"index": 1433,
"need_tools_kwargs": true,
"question": "What is the difference between 40% of 50% of 60 and 50% of 60% of 70?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(18.0, 6.0)",
"style": "rule"
} | {
"index": 1434,
"need_tools_kwargs": true,
"question": "A segment with endpoints at $A(2, -2)$ and $B(14, 4)$ is extended through $B$ to point $C$. If $BC = \\frac{1}{3} \\cdot AB$, what are the coordinates for point $C$? Express your answer as an ordered pair.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Boston",
"style": "rule"
} | {
"index": 1435,
"need_tools_kwargs": true,
"question": "This One's for the Children is a single by the pop group from what city?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10 - 5cd",
"style": "rule"
} | {
"index": 1436,
"need_tools_kwargs": true,
"question": "If $\\begin{vmatrix} a & b \\\\ c & d \\end{vmatrix} = 5,$ then find \n\\[\\begin{vmatrix} 2a - c & b + 2d \\\\ 2c & d \\end{vmatrix}.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1437,
"need_tools_kwargs": true,
"question": "Are Butch Miller (Racing Driver) and Stephen King (Conservationist) 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": "India",
"style": "rule"
} | {
"index": 1438,
"need_tools_kwargs": true,
"question": "Which country the director of film Chalachithrolsavam 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": "71",
"style": "rule"
} | {
"index": 1439,
"need_tools_kwargs": true,
"question": "The Cubs are playing the Red Sox in the World Series. To win the world series, a team must win 4 games before the other team does. If the Cubs win each game with probability $\\dfrac{3}{5}$ and there are no ties, what is the probability that the Cubs will win the World Series? Express your answer as a percent rounded to the nearest whole 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": "July 2012",
"style": "rule"
} | {
"index": 1440,
"need_tools_kwargs": true,
"question": "Since when has the co-anchor of \"The Today Show\" that Danny Jelaca has worked with held that position?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 1441,
"need_tools_kwargs": true,
"question": "What is the area of trapezoid $OBCD$ below? [asy]\nsize(200);\ndefaultpen(linewidth(0.8));\nxaxis(\"$x$\",-4,10);\nyaxis(\"$y$\",-3,5);\ndot(Label(\"$O$\",align=SW),(0,0));\ndot(Label(\"$D(2,3)$\",align=NW),(2,3));\ndot(Label(\"$C(4,3)$\",align=NE),(4,3));\ndot(Label(\"$B(8,0)$\",align=S),(8,0));\ndraw((0,0)--(2,3)--(4,3)--(8,0));\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": "\\frac{k}{4}",
"style": "rule"
} | {
"index": 1442,
"need_tools_kwargs": true,
"question": "In rectangle $ABCD$, line $DP$ is drawn bisecting $AB$ at $M$ and meeting $CD$ (extended) at $P$. From vertex $C$, line $CQ$ is drawn bisecting side $CD$ at $N$ and meeting $AB$ (extended) at $Q$. Lines $DP$ and $CQ$ meet at $O$. If the area of rectangle $ABCD$ is $k$, then the area of triangle $QPO$ is?\nA) $\\frac{k}{8}$\nB) $\\frac{k}{4}$\nC) $\\frac{3k}{8}$\nD) $\\frac{k}{2}$",
"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": "Robert Louis Fosse",
"style": "rule"
} | {
"index": 1443,
"need_tools_kwargs": true,
"question": "What is the full name of the director of original Broadway production of Pippin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1444,
"need_tools_kwargs": true,
"question": "Are the directors of films West of the Alamo and Mojave Moon 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": "ONTV",
"style": "rule"
} | {
"index": 1445,
"need_tools_kwargs": true,
"question": "What defunct American subscription service was VEU similar to?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Johnny Galecki",
"style": "rule"
} | {
"index": 1446,
"need_tools_kwargs": true,
"question": "What is the name of this American actor, based known for a role on Roseanne, who also starred in Morgan's Ferry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "3 March 1926",
"style": "rule"
} | {
"index": 1447,
"need_tools_kwargs": true,
"question": "When is the composer of film Waqt (1965 Film) 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "23",
"style": "rule"
} | {
"index": 1448,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, point $D$ is on $AC$ so that $\\frac{AD}{DC} = \\frac{1}{13}$. Let point $E$ be on $BC$, and let $F$ be the intersection of $AE$ and $BD$. If $\\frac{DF}{FB} = \\frac{2}{7}$ and the area of $\\triangle DBC$ is $26$, compute the area of $\\triangle FAB$. The original answer is in $\\frac{k}{m}$ format, please give the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(4,-2,3)",
"style": "rule"
} | {
"index": 1449,
"need_tools_kwargs": true,
"question": "Let $A = (8,0,0),$ $B = (0,-4,0),$ $C = (0,0,6),$ and $D = (0,0,0).$ Find the point $P$ such that\n\\[AP = BP = CP = DP.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "seven",
"style": "rule"
} | {
"index": 1450,
"need_tools_kwargs": true,
"question": "How many schools does the university where Dan W. Reicher is the Executive Director of the Steyer-Taylor Center have? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-46 - 4x",
"style": "rule"
} | {
"index": 1451,
"need_tools_kwargs": true,
"question": "Compute the following determinant:\n\\[\n\\begin{vmatrix} 2 & -1 & 4 \\\\ 3 & x & -2 \\\\ 1 & -3 & 0 \\end{vmatrix}\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": "717",
"style": "rule"
} | {
"index": 1452,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be an acute scalene triangle with circumcircle $\\omega$. The tangents to $\\omega$ at $B$ and $C$ intersect at $T$. Let $X$ and $Y$ be the projections of $T$ onto lines $AB$ and $AC$, respectively. Suppose $BT = CT = 16$, $BC = 22$, and $TX^2 + TY^2 + XY^2 = 1143$. Find $XY^2$.",
"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": "0.367",
"style": "rule"
} | {
"index": 1453,
"need_tools_kwargs": true,
"question": "If the probability that a baby born in a certain hospital will speak in the next day is 1/4, what is the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1454,
"need_tools_kwargs": true,
"question": "If the inequality\n$$\n\\left|a x^{2}+b x+a\\right| \\leqslant x\n$$\n\nholds for $x \\in [1,2]$, then the maximum value of $3a + b$ is ___.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "86",
"style": "rule"
} | {
"index": 1455,
"need_tools_kwargs": true,
"question": "Of 120 players on a football team, 62 are throwers. The rest of the team is divided so that three fifths are left-handed and the rest are right-handed. Assuming that all throwers are right-handed, how many right-handed players are there total?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 1456,
"need_tools_kwargs": true,
"question": "Given seven natural numbers \\(a, b, c, a+b-c, a+c-b, b+c-a, a+b+c\\), it is known that all of them are distinct prime numbers. Find all possible values of the smallest of these seven numbers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Jeremy Ito",
"style": "rule"
} | {
"index": 1457,
"need_tools_kwargs": true,
"question": "Who was the kicker for the college team of the player drafted by the Ravens in the second round of the 2008 NFL Draft in 2006?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{4}{13}",
"style": "rule"
} | {
"index": 1458,
"need_tools_kwargs": true,
"question": "If Anna picks one letter randomly from the alphabet, what is the probability that the letter is in the word `MATHEMATICS'?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "28",
"style": "rule"
} | {
"index": 1459,
"need_tools_kwargs": true,
"question": "Consider a cube \\(ABCDEFGH\\) with an edge length of 100. Let point \\(P\\) be located on edge \\(AB\\), point \\(Q\\) on edge \\(AD\\), and point \\(R\\) on edge \\(AF\\). The distances from point \\(A\\) to these points are defined as follows: \\(AP = x\\), \\(AQ = x + 1\\), and \\(AR = \\frac{x + 1}{2x}\\), where \\(x\\) is an integer. Calculate the number of integer values of \\(x\\) such that the volume of the pyramid \\(APQR\\) is between 0.04% and 0.08% of the volume of the cube.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "One Tough Cop",
"style": "rule"
} | {
"index": 1460,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, One Tough Cop or The Woman They Talk About?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1461,
"need_tools_kwargs": true,
"question": "Are Abrek Zaur and Glass: A Portrait Of Philip In Twelve Parts 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": "no",
"style": "rule"
} | {
"index": 1462,
"need_tools_kwargs": true,
"question": "Are Kohtalon Kirja and Third Degree Burn 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": "Nassau County",
"style": "rule"
} | {
"index": 1463,
"need_tools_kwargs": true,
"question": "Wheatley Hills Golf Club is located in what county?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sir Arthur Seymour Sullivan MVO",
"style": "rule"
} | {
"index": 1464,
"need_tools_kwargs": true,
"question": "Avon Saxon created the role of Friar Tuck in the opera by which English composer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Texas Tech University",
"style": "rule"
} | {
"index": 1465,
"need_tools_kwargs": true,
"question": "Kellyn Tate is an American softball coach, and former player, she previously held coaching position, for which athletic teams that represent which university?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "September 8, 1986",
"style": "rule"
} | {
"index": 1466,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Domino Kid?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "f(z) = z^2 + 2z + c",
"style": "rule"
} | {
"index": 1467,
"need_tools_kwargs": true,
"question": "Given the real part \\( u(x, y) = x^2 - y^2 + 2x \\) of a differentiable function \\( f(z) \\), find \\( f(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": "50\\sqrt{19}",
"style": "rule"
} | {
"index": 1468,
"need_tools_kwargs": true,
"question": "Five points $A$, $B$, $C$, $D$, and $O$ are placed on a plane. $A$ is directly north of $O$, $B$ is directly west of $O$, $C$ is directly south of $O$, and $D$ is directly east of $O$. The distance between $C$ and $D$ is now 180 m. A hot-air balloon is positioned directly above $O$ at point $H$. This balloon is held by four ropes: $HA$, $HB$, $HC$, and $HD$. The lengths of ropes $HC$ and $HD$ are now 170 m and 150 m, respectively. Calculate the height $OH$ of the balloon above the field.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Henry Lau",
"style": "rule"
} | {
"index": 1469,
"need_tools_kwargs": true,
"question": "One Dream, is a Korean-language song performed by South Korean pop singer BoA, it features which Canadian singer, rapper, dancer, composer, record producer, beatboxer, actor and entertainer mostly active in South Korea?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1006",
"style": "rule"
} | {
"index": 1470,
"need_tools_kwargs": true,
"question": "The expression $\\circ 1 \\circ 2 \\circ 3 \\circ \\dots \\circ 2012$ is written on a blackboard. Catherine places a $+$ sign or a $-$ sign into each blank. She then evaluates the expression and finds the remainder when it is divided by 2012. How many possible values are there for this remainder?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Academy Award for Best Adapted Screenplay",
"style": "rule"
} | {
"index": 1471,
"need_tools_kwargs": true,
"question": "What is the award that the director of film The River'S End (Film) earned?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$406.10",
"style": "rule"
} | {
"index": 1472,
"need_tools_kwargs": true,
"question": "Hallie is working as a waitress with varying hourly pay rates. On Monday, she works for 7 hours at $10/hour and receives $18 in tips. On Tuesday her pay rate is $12/hour, she works for 5 hours and receives $12 in tips. On Wednesday, she works at $10/hour for 7 hours and receives $20 in tips. On Thursday she works at $11/hour for 8 hours and receives $25 in tips. On Friday, her hourly rate is $9/hour, she works 6 hours and receives $15 in tips. Hallie is subject to a 5% income tax on her overall salary, but tips are exempted from taxes. Additionally, on Thursdays, she receives a special 10% employee discount on her earnings. Calculate her net earnings from Monday to Friday, considering her varying hourly salary, tips, the income tax, and the special Thursday discount.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1000",
"style": "rule"
} | {
"index": 1473,
"need_tools_kwargs": true,
"question": "Reese joined a Pinterest group where members contributed an average of 10 pins per day. The group owner deleted older pins at the rate of 5 pins per week per person. The group has 20 people. After Reese had been a member for a month, there were 6,600 pins. What was the initial total number of pins in the group?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 1474,
"need_tools_kwargs": true,
"question": "A circle is inscribed in an isosceles triangle with a base of 12 cm. From this circle, three tangents are drawn, which partition the given triangle into three smaller triangles. The sum of the perimeters of these smaller triangles is 48 cm. Find the lateral side of the given 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": "Steve Lawrence",
"style": "rule"
} | {
"index": 1475,
"need_tools_kwargs": true,
"question": "Which Footsteps singer had a wife that won numerous awards, including a Grammy and am Emmy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.25",
"style": "rule"
} | {
"index": 1476,
"need_tools_kwargs": true,
"question": "Suppose that $x,$ $y,$ and $z$ are three positive numbers that satisfy the equations $xyz = 1,$ $x + \\frac {1}{z} = 5,$ and $y + \\frac {1}{x} = 29.$ Find $z + \\frac {1}{y}.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Central American agouti",
"style": "rule"
} | {
"index": 1477,
"need_tools_kwargs": true,
"question": "What have Cuba, Bahamas, Jamaica, Hispaniola and the Cayman Islands all have in common? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-2 - \\sqrt{3}",
"style": "rule"
} | {
"index": 1478,
"need_tools_kwargs": true,
"question": "1. Solve the trigonometric inequality: $\\cos x \\geq \\frac{1}{2}$\n2. In $\\triangle ABC$, if $\\sin A + \\cos A = \\frac{\\sqrt{2}}{2}$, find the value of $\\tan A$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 1479,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Satellite In 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": "16",
"style": "rule"
} | {
"index": 1480,
"need_tools_kwargs": true,
"question": "Seven fishermen stand in a circle. The fishermen have a professional habit of exaggerating numbers. Each fisherman has an exaggeration factor (unique integer) representing how many times the actual number is exaggerated. For example, if a fisherman with an exaggeration factor of 3 catches two fish, he will say he caught six fish. When asked, \"How many fish did your left neighbor catch?\", the responses (not necessarily in the order the fishermen are sitting) were $12, 12, 20, 24, 32, 42,$ and $56$. When asked, \"How many fish did your right neighbor catch?\", six of the fishermen responded $12, 14, 18, 32, 48,$ and $70$. What did the seventh fisherman respond?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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",
"style": "rule"
} | {
"index": 1481,
"need_tools_kwargs": true,
"question": "How many ordered triples $(x, y, z)$ of real numbers satisfy the system of equations:\n\\[\nx^2 + y^2 + z^2 = 9,\n\\]\n\\[\nx^4 + y^4 + z^4 = 33,\n\\]\n\\[\nxyz = -4?\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": "2013",
"style": "rule"
} | {
"index": 1482,
"need_tools_kwargs": true,
"question": "Given that odd prime numbers \\( x, y, z \\) satisfy\n\\[ x \\mid (y^5 + 1), \\quad y \\mid (z^5 + 1), \\quad z \\mid (x^5 + 1). \\]\n\nFind the minimum value of the product \\( xyz \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1483,
"need_tools_kwargs": true,
"question": "Elsa wrote the numbers $1, 2, \\ldots, 8$ on the board. She then allows herself operations of the following form: she selects two numbers $a$ and $b$ such that $a+2 \\leq b$, if such numbers exist, then she erases them, and writes the numbers $a+1$ and $b-1$ in their place.\n\n(a) Demonstrate that Elsa must stop after a finite number of operations.\n\n(b) What is the maximum number of operations Elsa can perform?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "21",
"style": "rule"
} | {
"index": 1484,
"need_tools_kwargs": true,
"question": "Find the sum of all positive integers $n$ such that $1.5n - 6.3 < 4.5$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(3, -2, 2)",
"style": "rule"
} | {
"index": 1485,
"need_tools_kwargs": true,
"question": "A certain regular tetrahedron has three of its vertices at the points $(0,1,2),$ $(4,2,1),$ and $(3,1,5).$ Find the coordinates of the fourth vertex, given that they are also all 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": "4",
"style": "rule"
} | {
"index": 1486,
"need_tools_kwargs": true,
"question": "Given an acute triangle \\( \\triangle ABC \\), construct isosceles triangles \\( \\triangle DAC, \\triangle EAB, \\triangle FBC \\) outside of \\( \\triangle ABC \\) such that \\( DA = DC, EA = EB, FB = FC \\), and the angles \\( \\angle ADC = 2 \\angle BAC, \\angle BEA = 2 \\angle ABC, \\angle CFB = 2 \\angle ACB \\). Define \\( D' \\) as the intersection of line \\( DB \\) with \\( EF \\), \\( E' \\) as the intersection of line \\( EC \\) with \\( DF \\), and \\( F' \\) as the intersection of line \\( FA \\) with \\( 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... | qa | {
"ground_truth": "Wende Correctional Facility",
"style": "rule"
} | {
"index": 1487,
"need_tools_kwargs": true,
"question": "Where did the serial killer that the novel The Spider and the Fly was based on 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": "yes",
"style": "rule"
} | {
"index": 1488,
"need_tools_kwargs": true,
"question": "Are both Band Bast-E Pain and Mazraeh-Ye Nasrabad 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": "-3439",
"style": "rule"
} | {
"index": 1489,
"need_tools_kwargs": true,
"question": "Suppose that for an infinitely differentiable function \\(f\\), \\(\\lim_{x\\to 0}\\frac{f(4x) + af(3x) + bf(2x) + cf(x) + df(0)}{x^4}\\) exists. The answer is in the form of 1000a + 100b + 10c + d. Please find the value of this expression.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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\\sqrt{3}}{3}",
"style": "rule"
} | {
"index": 1490,
"need_tools_kwargs": true,
"question": "All the complex roots of $(z - 2)^6 = 64z^6$ when plotted in the complex plane, lie on a circle. Find the radius of this circle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "56.71936\\%",
"style": "rule"
} | {
"index": 1491,
"need_tools_kwargs": true,
"question": "A vendor sells 20 percent of the pears he had on Monday and throws away 50 percent of the remaining pears. On Tuesday, the vendor sells 30 percent of the remaining pears and throws away 20 percent of what is left. On Wednesday, the vendor sells 15 percent of the remaining pears and throws away 35 percent of what is then left. Finally, on Thursday, the vendor sells 10 percent of the remaining pears but has to throw away 40 percent of what is left due to spoilage. Construct an equation to find the total percentage of pears thrown away by the vendor.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3984",
"style": "rule"
} | {
"index": 1492,
"need_tools_kwargs": true,
"question": "Let $p(x)$ be a nonzero polynomial of degree less than $1992$ having no nonconstant factor in common with $x^3 - x$. Let $$ \\frac{d^{1992}}{dx^{1992}} \\left( \\frac{p(x)}{x^3 - x} \\right) = \\frac{f(x)}{g(x)} $$ for polynomials $f(x)$ and $g(x)$. Find the smallest possible degree of $f(x)$.",
"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... | math | {
"ground_truth": "62500",
"style": "rule"
} | {
"index": 1493,
"need_tools_kwargs": true,
"question": "Ctibor marked a square land plot on a map with a scale of 1:50000 and calculated that its side corresponds to $1 \\mathrm{~km}$ in reality. He then resized the map on a copier such that the marked square had an area $1.44 \\mathrm{~cm}^{2}$ smaller than the original.\n\nWhat was the scale of the resized map?\n\nHint: What were the dimensions of the marked plot on the original map?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Maulavi Mohammed Abdul Kabir",
"style": "rule"
} | {
"index": 1494,
"need_tools_kwargs": true,
"question": "Which senior member of the Taliban leadership has a name that is also one of the quality of God in Islam?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "108",
"style": "rule"
} | {
"index": 1495,
"need_tools_kwargs": true,
"question": "The number of six-digit even numbers formed by 1, 2, 3, 4, 5, 6 without repeating digits and with neither 1 nor 3 adjacent to 5 is ________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "186",
"style": "rule"
} | {
"index": 1496,
"need_tools_kwargs": true,
"question": "Select 3 people from 4 boys and 3 girls to undertake three different tasks. If there is at least 1 girl among these 3 people, the total number of possible arrangements is ( )\nA: 108\nB: 186\nC: 216\nD: 270",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$120",
"style": "rule"
} | {
"index": 1497,
"need_tools_kwargs": true,
"question": "a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price t of the machine ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1498,
"need_tools_kwargs": true,
"question": "Are both airports, Corning–Painted Post Airport and Winner Regional Airport, 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": "7.5^\\circ",
"style": "rule"
} | {
"index": 1499,
"need_tools_kwargs": true,
"question": "What is the measure, in degrees, of the acute angle formed by the minute hand and the hour hand on a standard clock when it indicates $3$:$15$?",
"split": "train"
} | null |
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