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": "18 seasons",
"style": "rule"
} | {
"index": 9600,
"need_tools_kwargs": true,
"question": "In the 2004-05 Season, The Houston Rockets acquired a center from Chicago Bulls who played how many seasons of NBA ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9601,
"need_tools_kwargs": true,
"question": "Rakekniven was climbed in 1996 by a mountaineer that holds which nationality ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "21 June 2001",
"style": "rule"
} | {
"index": 9602,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Bangaru Bommalu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 November 1670",
"style": "rule"
} | {
"index": 9603,
"need_tools_kwargs": true,
"question": "When did Louis-Abraham Van Loo's father die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "115200",
"style": "rule"
} | {
"index": 9604,
"need_tools_kwargs": true,
"question": "How many ways can you assign one of the numbers \\(1, 2, 3, \\ldots, 10\\) to each corner of a cube so that no number is used more than once and so that for each side face the sum of the numbers in the four adjacent corners is odd?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1st",
"style": "rule"
} | {
"index": 9605,
"need_tools_kwargs": true,
"question": "Sawyer joined coaching on the new year's day and took coaching every day without fail till a certain day. The daily coaching charges are 39 dollars and the year is not a leap year. Sawyer has to pay 11895 dollars in coaching fees. On which day did Sawyer discontinue the coaching?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Wenche Kvamme",
"style": "rule"
} | {
"index": 9606,
"need_tools_kwargs": true,
"question": "Was Wenche Kvamme or Konstantin Svechkar born first?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{5}{12}",
"style": "rule"
} | {
"index": 9607,
"need_tools_kwargs": true,
"question": "An equilateral triangle \\(ABC\\) made of plywood is placed on the floor. Three nails are driven into the floor (one close to each side of the triangle) such that the triangle cannot be rotated without lifting it off the floor. The first nail divides side \\(AB\\) in the ratio \\(1:3\\) from vertex \\(A\\), the second nail divides side \\(BC\\) in the ratio \\(2:1\\) from vertex \\(B\\). In what ratio does the third nail divide side \\(AC\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "-0.75",
"style": "rule"
} | {
"index": 9608,
"need_tools_kwargs": true,
"question": "Given the function \\( f(x) = \\lg \\frac{1 + x}{1 - x} \\), if \\( f\\left(\\frac{y + z}{1 + y z}\\right) = 1 \\) and \\( f\\left(\\frac{y - z}{1 - y z}\\right) = 2 \\), where \\( -1 < y, z < 1 \\), find the value of \\( f(y) \\cdot 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... | qa | {
"ground_truth": "The section around the crossing of the River Ribble",
"style": "rule"
} | {
"index": 9609,
"need_tools_kwargs": true,
"question": "What section of the canal that passes through Yealand Redmayne was never completed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9610,
"need_tools_kwargs": true,
"question": "Are Abalakovo, Yeniseysky District, Krasnoyarsk Krai and Pencarreg 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{122}{41}",
"style": "rule"
} | {
"index": 9611,
"need_tools_kwargs": true,
"question": "Solve for \\(x\\): \\(x\\lfloor x\\lfloor x\\lfloor x\\lfloor x\\rfloor\\rfloor\\rfloor\\rfloor=122\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Metro Vancouver regional district",
"style": "rule"
} | {
"index": 9612,
"need_tools_kwargs": true,
"question": "The city in which the Cloverdale Fairgrounds are located is a member municipality of which regional 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... | math | {
"ground_truth": "\\dfrac{1}{2}",
"style": "rule"
} | {
"index": 9613,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively. If $b^{2}+c^{2}=2a^{2}$, then the minimum value of $\\cos A$ is ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-2,5)",
"style": "rule"
} | {
"index": 9614,
"need_tools_kwargs": true,
"question": "Parallelogram $ABCD$ with $A(2,5)$, $B(4,9)$, $C(6,5)$, and $D(4,1)$ is reflected across the $x$-axis to $A'B'C'D'$ and then $A'B'C'D'$ is reflected across the line $y=x+1$ to $A''B''C''D''$. This is done such that $D'$ is the image of $D$, and $D''$ is the image of $D'$. What is the ordered pair of $D''$ in the coordinate plane?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9615,
"need_tools_kwargs": true,
"question": "Farmer James has three types of cows on his farm. A cow with zero legs is called a $\\textit{ground beef}$ , a cow with one leg is called a $\\textit{steak}$ , and a cow with two legs is called a $\\textit{lean beef}$ . Farmer James counts a total of $20$ cows and $18$ legs on his farm. How many more $\\textit{ground beef}$ s than $\\textit{lean beef}$ s does Farmer James have?\n\n*Proposed by James Lin*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Copenhagen Agreement",
"style": "rule"
} | {
"index": 9616,
"need_tools_kwargs": true,
"question": "During the Climate Change Conference of 2009, what was the culminating document that came out of it at the conclusion in December 2009.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 {63}{256}",
"style": "rule"
} | {
"index": 9617,
"need_tools_kwargs": true,
"question": "Given $( \\sqrt {x}+ \\dfrac {2}{x^{2}})^{n}$, the ratio of the coefficient of the fifth term to the coefficient of the third term in its expansion is $56:3$. \n(Ⅰ) Find the constant term in the expansion; \n(Ⅱ) When $x=4$, find the term with the maximum binomial coefficient in the expansion.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "December 12, 1938",
"style": "rule"
} | {
"index": 9618,
"need_tools_kwargs": true,
"question": "What is the date of birth of the performer of song Mein Herz Weiß Genau, Was Es Will?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "56",
"style": "rule"
} | {
"index": 9619,
"need_tools_kwargs": true,
"question": "\\( A, P, B \\) are three points on a circle with center \\( O \\).\nIf \\( \\angle APB = 146^\\circ \\), find \\( \\angle OAB \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Thomas Gregory",
"style": "rule"
} | {
"index": 9620,
"need_tools_kwargs": true,
"question": "What actor played in a drama television series based on Israeli series the \"Yellow Peppers?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "John Ellis",
"style": "rule"
} | {
"index": 9621,
"need_tools_kwargs": true,
"question": "Who had only one brother and was a british executioner for 23 years?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a = 1",
"style": "rule"
} | {
"index": 9622,
"need_tools_kwargs": true,
"question": "(Full score for this problem is 12 points) Given $f(x) = e^x - ax - 1$.\n\n(1) Find the intervals where $f(x)$ is monotonically increasing.\n(2) If $f(x)$ is monotonically increasing on the domain $\\mathbb{R}$, find the range of possible values for $a$.\n(3) Does there exist a value of $a$ such that $f(x)$ is monotonically decreasing on $(-\\infty, 0]$ and monotonically increasing on $[0, +\\infty)$? If so, find the value of $a$; if not, explain why.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 9623,
"need_tools_kwargs": true,
"question": "函数 $y=\\frac{4^{x}+1}{2^{x}+1}$ 的最小值为某个形式为$k\\sqrt{m}-n$的数。请给出m+n+k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": "11 July 1732",
"style": "rule"
} | {
"index": 9624,
"need_tools_kwargs": true,
"question": "When did Countess Palatine Francisca Christina Of Sulzbach's father die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "board game",
"style": "rule"
} | {
"index": 9625,
"need_tools_kwargs": true,
"question": "Figure It Out and Tracks to Telluride are both?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "lymphoma",
"style": "rule"
} | {
"index": 9626,
"need_tools_kwargs": true,
"question": "Why did the director of film The Encounter (2002 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... | math | {
"ground_truth": "0.9487",
"style": "rule"
} | {
"index": 9627,
"need_tools_kwargs": true,
"question": "A line is parameterized by\n\\[\\begin{pmatrix} x \\\\ y \\end{pmatrix} = \\begin{pmatrix} 0 \\\\ -2 \\end{pmatrix} + t \\begin{pmatrix} 3 \\\\ 4 \\end{pmatrix}.\\]A second line is parameterized by\n\\[\\begin{pmatrix} x \\\\ y \\end{pmatrix} = \\begin{pmatrix} -8 \\\\ 12 \\end{pmatrix} + u \\begin{pmatrix} 1 \\\\ 3 \\end{pmatrix}.\\]If $\\theta$ is the acute angle formed by the two lines, then find $\\cos \\theta.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1027",
"style": "rule"
} | {
"index": 9628,
"need_tools_kwargs": true,
"question": "Consider the sequence $1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, ...$ Find $n$ such that the first $n$ terms sum up to $2010.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "47",
"style": "rule"
} | {
"index": 9629,
"need_tools_kwargs": true,
"question": "From the three-digit numbers \\(100, 101, 102, \\ldots, 699, 700\\), choose \\(n\\) different numbers such that you can always find three of them with the same sum of digits. What is the minimum value of \\(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": "British",
"style": "rule"
} | {
"index": 9630,
"need_tools_kwargs": true,
"question": "Which country the director of film Hitchcock (Film) is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 9631,
"need_tools_kwargs": true,
"question": "Do both films: The Barker and Newness have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 9632,
"need_tools_kwargs": true,
"question": "Given $a < b < 0$, which of the following inequalities does not hold? Fill in the blank with the serial number only. \n① $\\frac{1}{a} > \\frac{1}{b}$ \n② $\\frac{1}{a-b} > \\frac{1}{a}$ \n③ $|a| > |b|$ \n④ $a^2 > b^2$",
"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": "Piers John Sellers",
"style": "rule"
} | {
"index": 9633,
"need_tools_kwargs": true,
"question": "Which astronaut flew on more space missions, Piers Sellers or Jean-Jacques Favier?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "7 January 1995",
"style": "rule"
} | {
"index": 9634,
"need_tools_kwargs": true,
"question": "When did the director of film The Window (1949 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": "Nevada–Oregon",
"style": "rule"
} | {
"index": 9635,
"need_tools_kwargs": true,
"question": "Granite Peak is southeast of the small town that straddles which two states?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Black or the Pious",
"style": "rule"
} | {
"index": 9636,
"need_tools_kwargs": true,
"question": "By what nicknames was the elder brother of Matilda of Franconia called ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Grammy Award for Best Solo Rock Vocal Performance",
"style": "rule"
} | {
"index": 9637,
"need_tools_kwargs": true,
"question": "Which award the performer of song Runnin' For The Red Light (I Gotta Life) 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": "-5",
"style": "rule"
} | {
"index": 9638,
"need_tools_kwargs": true,
"question": "Let $x,$ $y,$ $z$ be nonzero real numbers such that $x + y + z = 0,$ and $xy + xz + yz \\neq 0.$ Find all possible values of\n\\[\\frac{x^5 + y^5 + z^5}{xyz (xy + xz + yz)}.\\]Enter all possible values, separated by commas.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "30\\%",
"style": "rule"
} | {
"index": 9639,
"need_tools_kwargs": true,
"question": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 108 ° of the circle , what percentage of megatek employees are in manufacturing ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Goodbye South, Goodbye",
"style": "rule"
} | {
"index": 9640,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Goodbye South, Goodbye or Say Uncle (Film)? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "47",
"style": "rule"
} | {
"index": 9641,
"need_tools_kwargs": true,
"question": "Circles with centers $A$ and $B$ have radii 3 and 8, respectively. A common internal tangent touches the circles at $C$ and $D$, as shown. Lines $AB$ and $CD$ intersect at $E$, and $AE = 5$. What is $CD$?\n\n[asy]\nunitsize(0.2cm);\npair A,B,C,D,E;\nA=(0,0);\nB=(18.3,0);\nE=(5,0);\nC=(1.8,-2.4);\nD=(13.5,6.4);\ndraw(Circle(A,3),linewidth(0.7));\ndraw(Circle(B,8),linewidth(0.7));\ndraw(A--B,linewidth(0.7));\ndraw(C--D,linewidth(0.7));\nlabel(\"$A$\",A,W);\nlabel(\"$B$\",B,S);\nlabel(\"$C$\",C,S);\nlabel(\"$D$\",D,NW);\nlabel(\"$E$\",E,S);\n[/asy]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": "46",
"style": "rule"
} | {
"index": 9642,
"need_tools_kwargs": true,
"question": "Given point $O$ is the origin, $\\overrightarrow{O M}=(-1,1)$, $\\overrightarrow{N M}=(-5,-5)$, set $A=\\{\\overrightarrow{O R} | R N \\mid=2\\}$, $\\overrightarrow{O P}, \\overrightarrow{O Q} \\in A, \\overrightarrow{M P}=\\lambda \\overrightarrow{M Q}(\\lambda \\in \\mathbf{R}, \\lambda \\neq 0)$, find $\\overrightarrow{M P} \\cdot \\overrightarrow{M Q}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "51",
"style": "rule"
} | {
"index": 9643,
"need_tools_kwargs": true,
"question": "Let $A = (0,0)$ and $B = (b,2)$ be points on the coordinate plane. Let $ABCDEF$ be a convex equilateral hexagon such that $\\angle FAB = 120^\\circ,$ $\\overline{AB}\\parallel \\overline{DE},$ $\\overline{BC}\\parallel \\overline{EF,}$ $\\overline{CD}\\parallel \\overline{FA},$ and the y-coordinates of its vertices are distinct elements of the set $\\{0,2,4,6,8,10\\}.$ The area of the hexagon can be written in the form $m\\sqrt {n},$ where $m$ and $n$ are positive integers and n is not divisible by the square of any prime. Find $m + n.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{3}",
"style": "rule"
} | {
"index": 9644,
"need_tools_kwargs": true,
"question": "A square is initially divided into sixteen equal smaller squares. The center four squares are then each divided into sixteen smaller squares of equal area, and this pattern continues indefinitely. In each set of sixteen smaller squares, the four corner squares are shaded. What fractional part of the entire square is shaded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(1,2) \\cup (-\\infty, -1]",
"style": "rule"
} | {
"index": 9645,
"need_tools_kwargs": true,
"question": "Given \\\\(a \\in \\mathbb{R}\\\\), let proposition \\\\(P\\\\) be: \\\\(\\forall x \\in [1,2]\\\\), \\\\(x^2 - a \\geqslant 0\\\\), and proposition \\\\(Q\\\\) be: the equation \\\\(\\frac{x^2}{a+1} + \\frac{y^2}{a-2} = 1\\\\) represents a hyperbola.\n\n\\\\((1)\\\\) If proposition \\\\(Q\\\\) is true, find the range of the real number \\\\(a\\\\).\n\n\\\\((2)\\\\) If the proposition \\\\(P \\vee Q\\\\) is true, and the proposition \\\\(P \\wedge Q\\\\) is false, find the range of the real number \\\\(a\\\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7200",
"style": "rule"
} | {
"index": 9646,
"need_tools_kwargs": true,
"question": "There are 4 male and 2 female volunteers, totaling 6 volunteers, and 2 elderly people standing in a row for a group photo. The photographer requests that the two elderly people stand next to each other and the two female volunteers do not stand next to each other. The number of different standing arrangements 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": "10",
"style": "rule"
} | {
"index": 9647,
"need_tools_kwargs": true,
"question": "How many different triangles can be formed having a perimeter of 11 units if each side must have integral length?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Belknap County",
"style": "rule"
} | {
"index": 9648,
"need_tools_kwargs": true,
"question": "In what county was Simon Wiggin Robinson 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": "Margaret Hilda Thatcher",
"style": "rule"
} | {
"index": 9649,
"need_tools_kwargs": true,
"question": "Streamlining the Cities was issued by the government of what British stateswoman who was Prime Minister of the United Kingdom from 1979 to 1990?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Boxing Day Test",
"style": "rule"
} | {
"index": 9650,
"need_tools_kwargs": true,
"question": "What Australian cricket Test match did South Africa replace with a T20I in 2012?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Madvillainy",
"style": "rule"
} | {
"index": 9651,
"need_tools_kwargs": true,
"question": "Live from Planet X is a live album by British-American rapper/producer MF Doom, his debut album was titled?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9652,
"need_tools_kwargs": true,
"question": "Let the first term of a geometric sequence be $\\frac{5}{8}$, and let the second term be $100$. Determine the smallest $n$ for which the $n$th term of the sequence is divisible by $100,000,000$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9653,
"need_tools_kwargs": true,
"question": "Calculate the product of \\(0.0003125\\) and \\(8,125,312\\). What is the product closest 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": "Doom",
"style": "rule"
} | {
"index": 9654,
"need_tools_kwargs": true,
"question": "What video game is a roguelike game devloped by ChaosForge and is a science fiction horror-themed first person shooter?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2341 mi",
"style": "rule"
} | {
"index": 9655,
"need_tools_kwargs": true,
"question": "How long is the river that bounds the Mid-Continent Region on the west?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9656,
"need_tools_kwargs": true,
"question": "Let $x, y, z$ be positive real numbers that satisfy at least one of the inequalities: $2xy > 1$, $yz > 1$. Find the least possible value of:\n$$xy^3z^2 + \\frac{4z}{x} - 8yz - \\frac{4}{yz}.$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sukumar Ray",
"style": "rule"
} | {
"index": 9657,
"need_tools_kwargs": true,
"question": "Who is the father of the author of Our Films, Their Films?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9658,
"need_tools_kwargs": true,
"question": "An 8 x 8 chessboard is divided into \\( p \\) disjoint rectangles (along the lines between squares), so that each rectangle has the same number of white squares as black squares, and each rectangle has a different number of squares. Find the maximum possible value of \\( p \\) and all possible sets of rectangle sizes.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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\\frac{1}{3}",
"style": "rule"
} | {
"index": 9659,
"need_tools_kwargs": true,
"question": "Dave walks to school at an average of 80 steps per minute, with each step measuring 80 cm. It takes him 20 minutes to reach school. Jack, his brother, walks the same route but averages 120 steps per minute, with each of his steps being 50 cm long. Calculate how long it takes Jack to get to school.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Firebirds",
"style": "rule"
} | {
"index": 9660,
"need_tools_kwargs": true,
"question": "Which team plays at the park that American baseball pitcher Marcus Stroman calls his summer home?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "36^\\circ, 36^\\circ, 108^\\circ",
"style": "rule"
} | {
"index": 9661,
"need_tools_kwargs": true,
"question": "In an isosceles triangle, bisectors are drawn from the obtuse and acute angles. The bisector from the vertex is half the length of the bisector from the base angle. Find the angles 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... | math | {
"ground_truth": "150",
"style": "rule"
} | {
"index": 9662,
"need_tools_kwargs": true,
"question": "In triangle $ABC$ , $AB = 10$ , $BC = 14$ , and $CA = 16$ . Let $D$ be a point in the interior of $\\overline{BC}$ . Let points $I_B$ and $I_C$ denote the incenters of triangles $ABD$ and $ACD$ , respectively. The circumcircles of triangles $BI_BD$ and $CI_CD$ meet at distinct points $P$ and $D$ . The maximum possible area of $\\triangle BPC$ can be expressed in the form $a - b\\sqrt {c}$ , where $a$ , $b$ , and $c$ are positive integers and $c$ is not divisible by the square of any prime. Find $a + b + c$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9663,
"need_tools_kwargs": true,
"question": "Given that there are three points on the coordinate plane: \\( O(0,0) \\), \\( A(12,2) \\), and \\( B(0,8) \\). A reflection of \\( \\triangle OAB \\) along the straight line \\( y = 6 \\) creates \\( \\triangle PQR \\). If the overlapped area of \\( \\triangle OAB \\) and \\( \\triangle PQR \\) is \\( m \\) square units, find the value of \\( 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": "2/3",
"style": "rule"
} | {
"index": 9664,
"need_tools_kwargs": true,
"question": "If an integer n is to be selected at random from 1 to 99, inclusive, what is the probability that n(n + 1) will be divisible by 3?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2^{3/4} \\cdot 15^{1/4}",
"style": "rule"
} | {
"index": 9665,
"need_tools_kwargs": true,
"question": "What is the value of $\\sqrt[4]{2^3 + 2^4 + 2^5 + 2^6}$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "February 23, 1938",
"style": "rule"
} | {
"index": 9666,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Mixed Blood (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": "Annika Backes",
"style": "rule"
} | {
"index": 9667,
"need_tools_kwargs": true,
"question": "Who is the spouse of the performer of song Flight 643?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Four Christmases",
"style": "rule"
} | {
"index": 9668,
"need_tools_kwargs": true,
"question": "What movie did Katy Mixon star in that was directed by Seth Gordon?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 9669,
"need_tools_kwargs": true,
"question": "What is the $150$th digit after the decimal point when $\\frac{7}{29}$ is expressed as a decimal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sanders County",
"style": "rule"
} | {
"index": 9670,
"need_tools_kwargs": true,
"question": "KZJZ is a radio station airing an Adult Contemporary serves what Montana 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": "no",
"style": "rule"
} | {
"index": 9671,
"need_tools_kwargs": true,
"question": "Do both directors of films Flachsmann The Educator and Rayalaseema Ramanna Chowdary share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "42",
"style": "rule"
} | {
"index": 9672,
"need_tools_kwargs": true,
"question": "Given the equation \n\n\\[\n\\frac{\\left(\\frac{a}{c} + \\frac{a}{b} + 1\\right)}{\\left(\\frac{b}{a} + \\frac{b}{c} + 1\\right)} = 11\n\\]\n\nwhere \\(a\\), \\(b\\), and \\(c\\) are positive integers, determine the number of different ordered triples \\((a, b, c)\\) such that \\(a + 2b + c \\leq 40\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 < x \\leq 1",
"style": "rule"
} | {
"index": 9673,
"need_tools_kwargs": true,
"question": "Solve the inequality system: $\\left\\{\\begin{array}{l}{x>-6-2x}\\\\{x\\leq\\frac{3+x}{4}}\\end{array}\\right.$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lyndon",
"style": "rule"
} | {
"index": 9674,
"need_tools_kwargs": true,
"question": "What is the county seat for the county that Barclay, the unincorporated community, is in?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Type 35 Rifle",
"style": "rule"
} | {
"index": 9675,
"need_tools_kwargs": true,
"question": "What was created from the Type 30 rifle for the Imperial Japanese Navy as a replacement for their aging Type 22 Murata rifles, with the date meaning the Meiji period according to the Gregorian calendar together with year designations stating the year of the reign of the current Emperor? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9180",
"style": "rule"
} | {
"index": 9676,
"need_tools_kwargs": true,
"question": "Find the number of triples of natural numbers \\((a, b, c)\\) that satisfy the system of equations\n\n\\[\n\\begin{cases}\n\\gcd(a, b, c) = 35 \\\\\n\\text{lcm}(a, b, c) = 5^{18} \\cdot 7^{16}\n\\end{cases}\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": "1",
"style": "rule"
} | {
"index": 9677,
"need_tools_kwargs": true,
"question": "In right triangle $PQR$, $PQ=10$, $QR=15$, and $\\angle Q = 90^\\circ$. Points $M$ and $N$ are midpoints of $\\overline{PQ}$ and $\\overline{PR}$ respectively; $\\overline{QM}$ and $\\overline{RN}$ intersect at point $Y$. Compute the ratio of the area of quadrilateral $PNYM$ to the area of triangle $QYR$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9678,
"need_tools_kwargs": true,
"question": "Are director of film The Lost City of Z (film) and director of film Two Bits from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 9679,
"need_tools_kwargs": true,
"question": "In how many ways can 1995 be expressed as the sum of consecutive positive odd 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... | math | {
"ground_truth": "3\\sqrt{2} - 4",
"style": "rule"
} | {
"index": 9680,
"need_tools_kwargs": true,
"question": "In the Cartesian coordinate system $xoy$, the parametric equation of circle $C$ is \n$$\n\\begin{cases} \nx = -1 + 4\\cos\\theta \\\\\ny = 2 + 4\\sin\\theta \n\\end{cases}\n$$\n($\\theta$ is the parameter). Taking the origin $O$ as the pole and the non-negative half-axis of $x$ as the polar axis, the polar equation of line $l$ is $\\sqrt{2}\\rho\\sin(\\theta + \\frac{3\\pi}{4}) = 7$.\n\n(1) Find the Cartesian coordinate equation of line $l$; \n(2) $A$ and $B$ are moving points on circle $C$ and line $l$, respectively. Find the minimum value of $|AB|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Moscow Satyricon Theatre",
"style": "rule"
} | {
"index": 9681,
"need_tools_kwargs": true,
"question": "What is the former leader of the school of Soviet and Russian humorists's son the head of?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Rome",
"style": "rule"
} | {
"index": 9682,
"need_tools_kwargs": true,
"question": "Where did the director of film Jane Eyre (1996 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... | math | {
"ground_truth": "7200 \\mathrm{MB}",
"style": "rule"
} | {
"index": 9683,
"need_tools_kwargs": true,
"question": "Storage space on a computer is measured in gigabytes (GB) and megabytes (MB), where $1 \\mathrm{~GB} = 1024 \\mathrm{MB}$. Julia has an empty 300 GB hard drive and puts 300000 MB of data onto it. How much storage space on the hard drive remains empty?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2014",
"style": "rule"
} | {
"index": 9684,
"need_tools_kwargs": true,
"question": "Let $M$ be the set of all integers from $1$ to $2013$. Each subset of $M$ is assigned one of $k$ available colors. The only condition is that if the union of two different subsets $A$ and $B$ equals $M$, then $A$ and $B$ must be given different colors. What is the least possible value of $k$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4\\%",
"style": "rule"
} | {
"index": 9685,
"need_tools_kwargs": true,
"question": "On a shopping trip, Jill spent 50 percent of her total amount on clothing, 10 percent on food, and 40 percent on other items. She paid a certain percentage tax on the clothing, no tax on the food, and an 8 percent tax on all other items. The total tax that she paid was 5.2 percent of the total amount that she spent, excluding taxes. What percentage tax did Jill pay on the clothing?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9686,
"need_tools_kwargs": true,
"question": "Are Jafarabad, Rafsanjan and Chehel Morghian 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... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 9687,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song I'M Not That Girl?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1987",
"style": "rule"
} | {
"index": 9688,
"need_tools_kwargs": true,
"question": " Solar Soul is the seventh album by a band formed in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 9689,
"need_tools_kwargs": true,
"question": "设无穷数列 \\(\\left\\{a_{n}\\right\\}\\) 定义如下: \\(a_{1}=1, a_{2}=a_{3}=2, a_{4}=a_{5}=a_{6}=3, \\cdots\\)。令 \\(b_{m}=\\sum_{i=1}^{2 m^{2}} a_{i}\\)，求 \\(\\lim _{m \\rightarrow \\infty} \\frac{b_{m}}{m^{3}}\\)。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... | qa | {
"ground_truth": "June 25, 2009",
"style": "rule"
} | {
"index": 9690,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of song In The Closet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Departures",
"style": "rule"
} | {
"index": 9691,
"need_tools_kwargs": true,
"question": "What American quartery lifestyle magazine did Hearst Shkelev Media also publish?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{3}",
"style": "rule"
} | {
"index": 9692,
"need_tools_kwargs": true,
"question": "Given the function f(x) = 2sin( $\\frac {π}{3}x- \\frac {π}{6}$) (x∈R).\n(I) Find the monotonically decreasing interval of the function f(x);\n(II) If the graph of the function (x) is shifted to the right by $\\frac {1}{2}$ unit length, the resulting graph corresponds to the function g(x), and when x₁∈(-3,-2), x₂∈(0,1), g(x₁)+g(x₂)=0, find the value of g(x₁-x₂).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.92",
"style": "rule"
} | {
"index": 9693,
"need_tools_kwargs": true,
"question": "Given that $\\cos 78^{\\circ}$ is approximately $\\frac{1}{5}$, $\\sin 66^{\\circ}$ is approximately:\nA. 0.92\nB. 0.85\nC. 0.88\nD. 0.95",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Jakob Ludwig Felix Mendelssohn Bartholdy",
"style": "rule"
} | {
"index": 9694,
"need_tools_kwargs": true,
"question": "The Symphony No. 4 in A major, Op. 90, commonly known as the Italian, is an orchestral symphony written by German composer Felix Mendelssohn, pianist, organist and conductor of the early Romantic period, was also know by which name?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "324, 648",
"style": "rule"
} | {
"index": 9695,
"need_tools_kwargs": true,
"question": "Find all natural numbers that are 36 times the sum of their digits.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Devil'S Own",
"style": "rule"
} | {
"index": 9696,
"need_tools_kwargs": true,
"question": "Which film has the director who died later, The Devil'S Own or Maha Chor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9697,
"need_tools_kwargs": true,
"question": "Do the bands Giuffria and Silver Griffin, originate 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": 9698,
"need_tools_kwargs": true,
"question": "Do both films Meanwhile (Film) and Saptapadi (1961 Film) have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "52",
"style": "rule"
} | {
"index": 9699,
"need_tools_kwargs": true,
"question": "On a \"prime date,\" both the month and the day are prime numbers. For example, Feb. 7 or 2/7 is a prime date. How many prime dates occurred in 2007?",
"split": "train"
} | null |
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