data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left(-11, \\frac{28}{3}\\right)",
"style": "rule"
} | {
"index": 3200,
"need_tools_kwargs": true,
"question": "Consider the line \\( y = \\frac{3}{4}x - 5 \\). This line is parametrized by the form\n\\[\n\\begin{pmatrix} x \\\\ y \\end{pmatrix} = \\begin{pmatrix} -8 \\\\ s \\end{pmatrix} + t \\begin{pmatrix} l \\\\ 7 \\end{pmatrix}.\n\\]\nDetermine the ordered pair \\((s, l)\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "4.17\\%",
"style": "rule"
} | {
"index": 3201,
"need_tools_kwargs": true,
"question": "a sum of money becomes 7 / 6 of itself in 4 years at a certain rate of simple interest . the rate per annum 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": "30",
"style": "rule"
} | {
"index": 3202,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), the angles are given as \\(\\angle B = 60^\\circ\\) and \\(\\angle C = 75^\\circ\\). An isosceles right triangle \\(BDC\\) is constructed on side \\(BC\\) towards the interior of triangle \\(ABC\\), with \\(BC\\) serving as its hypotenuse. Calculate the measure of \\(\\angle DAC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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} - 1)",
"style": "rule"
} | {
"index": 3203,
"need_tools_kwargs": true,
"question": "The shortest distance from the points on the graph represented by the parametric equations $$\\begin{cases} x=3+3\\cos\\theta, \\\\ y=-3+3\\sin\\theta \\end{cases}$$ (where $\\theta$ is the parameter) to the line $y=x$ 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": "A: a_{1}a_{2} < 0, dS_{3} > 0",
"style": "rule"
} | {
"index": 3204,
"need_tools_kwargs": true,
"question": "Given a non-zero common difference ($d$) arithmetic sequence ($\\{a_{n}\\}$), where the sum of the first $n$ terms is ($S_{n}$), if $a_{2}$, $a_{3}$, $a_{7}$ form a geometric sequence, then ( )\nA: $a_{1}a_{2} > 0$, $dS_{3} > 0$\nB: $a_{1}a_{2} < 0$, $dS_{3} > 0$\nC: $a_{1}a_{2} > 0$, $dS_{3} < 0$\nD: $a_{1}a_{2} < 0$, $dS_{3} < 0$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Larry Blackmon and Tomi Jenkins",
"style": "rule"
} | {
"index": 3205,
"need_tools_kwargs": true,
"question": "Who wrote the single that Gun released in 1994 ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1,837",
"style": "rule"
} | {
"index": 3206,
"need_tools_kwargs": true,
"question": "What was the population, in 2010, of the town that has Pillsbury Memorial Hall as it's town hall",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Queen of Porn",
"style": "rule"
} | {
"index": 3207,
"need_tools_kwargs": true,
"question": "Shatner's Raw Nerve has had an appearance by the model and actress who had what nickname?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Best Rock Bass Player",
"style": "rule"
} | {
"index": 3208,
"need_tools_kwargs": true,
"question": "Sons of Apollo is an American progressive metal supergroup includes a member who has won what \"Guitar Player\" magazine readers' poll five times?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Armando Iannucci",
"style": "rule"
} | {
"index": 3209,
"need_tools_kwargs": true,
"question": "Which of the \"I'm Alan Partridge\" writers was born in 1963?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 3210,
"need_tools_kwargs": true,
"question": "Find the first 1000 decimal places for the numbers:\na) \\((6+\\sqrt{35})^{1999}\\)\nb) \\((6+\\sqrt{37})^{1999}\\)\nc) \\((6+\\sqrt{37})^{2000}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "comedy-drama",
"style": "rule"
} | {
"index": 3211,
"need_tools_kwargs": true,
"question": "how is Wallace Shawn and My Dinner with Andre connected?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{3}{7}",
"style": "rule"
} | {
"index": 3212,
"need_tools_kwargs": true,
"question": "Anna and Brigitte, two little girls, are twins; they look identical. At school, they sit together at one desk; one always sits on the left, and the other on the right. Each of them claims to be Brigitte. The teacher knows from experience that, generally speaking, the girl on the right lies one time out of four, and the girl on the left lies one time out of five. But the teacher wants to know the probability that Anna is sitting on the left. Help her.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4\\sqrt{2}",
"style": "rule"
} | {
"index": 3213,
"need_tools_kwargs": true,
"question": "Let complex numbers \\(z_{1}\\) and \\(z_{2}\\) satisfy \\(\\operatorname{Re}(z_{1}) > 0\\) and \\(\\operatorname{Re}(z_{2}) > 0\\) and \\(\\operatorname{Re}(z_{1}^2) = \\operatorname{Re}(z_{2}^2) = 2\\) (where \\(\\operatorname{Re}(z)\\) denotes the real part of the complex number \\(z\\)).\n\n(1) Find the minimum value of \\(\\operatorname{Re}(z_{1} z_{2})\\).\n\n(2) Find the minimum value of \\(\\left|z_{1} + 2\\right| + \\left|\\overline{z_{2}} + 2\\right| - \\left|\\overline{z_{1}} - z_{2}\\right|\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "To Love A Maori",
"style": "rule"
} | {
"index": 3214,
"need_tools_kwargs": true,
"question": "Which film came out first, The Leader, His Driver And The Driver'S Wife or To Love A Maori?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Harvey Jay Mason Jr.",
"style": "rule"
} | {
"index": 3215,
"need_tools_kwargs": true,
"question": "Who produced the music for Tori Kelly in the animated film which Tori Kelly voiced a shy teenage elephant named meena?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Paravoor",
"style": "rule"
} | {
"index": 3216,
"need_tools_kwargs": true,
"question": "Where was the composer of film Pancha Thanthram born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "19",
"style": "rule"
} | {
"index": 3217,
"need_tools_kwargs": true,
"question": "1987 can be written as a three-digit number $\\overline{xyz}$ in base $b$. If $x + y + z = 1 + 9 + 8 + 7$, determine all possible values of $x, y, z$, and $b$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3218,
"need_tools_kwargs": true,
"question": "Do both directors of films Outpost Of The Mounties and The Traffic Policeman 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": "0",
"style": "rule"
} | {
"index": 3219,
"need_tools_kwargs": true,
"question": "Determine the conditions under which the expressions \\( a + 2bc \\) and \\( (a + 2b)(a + 2c) \\) are equal, given that \\( a, b, c \\) are real 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": "W/3",
"style": "rule"
} | {
"index": 3220,
"need_tools_kwargs": true,
"question": "A can do a piece of work in 3 hours; B and C together can do it in 2 hours, while A and B together can do it in 2 hours. How long will C alone take to do the work?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3221,
"need_tools_kwargs": true,
"question": "Do both directors of films Circus World (Film) and Pesum Dheivam share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3222,
"need_tools_kwargs": true,
"question": "Are Peristeronari and Kharkuiyeh 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": "441",
"style": "rule"
} | {
"index": 3223,
"need_tools_kwargs": true,
"question": "A number is called \\textit{6-composite} if it has exactly 6 composite factors. What is the 6th smallest 6-composite number? (A number is \\textit{composite} if it has a factor not equal to 1 or itself. In particular, 1 is not composite.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3224,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Anywhere I Wander?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "8 Women",
"style": "rule"
} | {
"index": 3225,
"need_tools_kwargs": true,
"question": "Which film starring Firmine Richard is based on a play by Robert Thomas?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3226,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Goin' To Town?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3227,
"need_tools_kwargs": true,
"question": "The largest solution to\n\\[9x^3 - 20x = 8 \\sqrt{2}\\]can be written in the form $\\frac{\\sqrt{a} + \\sqrt{b}}{c},$ where $a,$ $b,$ and $c$ are positive integers, when simplified. 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... | qa | {
"ground_truth": "Southern California",
"style": "rule"
} | {
"index": 3228,
"need_tools_kwargs": true,
"question": "Where was footage from the role playing game convention in the \"Fellowship of the Dice\" filmed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\theta = \\frac{\\pi}{3}",
"style": "rule"
} | {
"index": 3229,
"need_tools_kwargs": true,
"question": "Find the angle of inclination $\\theta$ of the line $\\sqrt{3}x - y + 3 = 0$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "000",
"style": "rule"
} | {
"index": 3230,
"need_tools_kwargs": true,
"question": "Solve the system of equations\n\n$$\n\\begin{aligned}\n& a_{11} x+a_{12} y+a_{13} z=0 \\\\\n& a_{21} x+a_{22} y+a_{23} z=0 \\\\\n& a_{31} x+a_{32} y+a_{33} z=0\n\\end{aligned}\n$$\n\ngiven that the coefficients satisfy the following conditions:\n\na) All coefficients are positive,\n\nb) The sum of the coefficients in each row and each column is 1,\n\nc) $a_{11}=a_{22}=a_{33}=1/2$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3231,
"need_tools_kwargs": true,
"question": "Are both movies, Terang Boelan and 'Night, Mother (Film), 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": "Revolution",
"style": "rule"
} | {
"index": 3232,
"need_tools_kwargs": true,
"question": "What was the title of a song on the album \"To Love Somebody\" as well as \"the White Album\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Allen Stuart Drury",
"style": "rule"
} | {
"index": 3233,
"need_tools_kwargs": true,
"question": "Which American writer won a Pulitzer prize, Allen Drury or Terry Goodkind?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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+5\\sqrt{3}",
"style": "rule"
} | {
"index": 3234,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, $a+b=10$, $\\cos C$ is a root of the equation $2x^{2}-3x-2=0$. Find the minimum perimeter 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... | qa | {
"ground_truth": "It Happened In New York",
"style": "rule"
} | {
"index": 3235,
"need_tools_kwargs": true,
"question": "Which film has the director who was born first, It Happened In New York or Chop Chop (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": "3+n^2 \\pmod{7}",
"style": "rule"
} | {
"index": 3236,
"need_tools_kwargs": true,
"question": "If $n$ is an integer, what is the remainder when the expression representing the sum of $7 - n$, $n + 3$, and $n^2$ is divided by $7$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2,790",
"style": "rule"
} | {
"index": 3237,
"need_tools_kwargs": true,
"question": "What was the population in 2010 of the county Saffordville 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... | math | {
"ground_truth": "52",
"style": "rule"
} | {
"index": 3238,
"need_tools_kwargs": true,
"question": "Find the sum of all positive integers $n$ such that $\\frac{2n+1}{n(n-1)}$ has a terminating decimal representation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3239,
"need_tools_kwargs": true,
"question": "Given a right triangular prism $A B C A_{1} B_{1} C_{1}$. A sphere with diameter $B C$ intersects the edges $A C$ and $A B$ at points $P$ and $Q$ respectively, which are different from the vertices of the prism. The segments $B_{1} P$ and $C_{1} Q$ intersect at point $T$, and it is given that $B_{1} P=5$ and $T Q=2$.\n\na) Find the angle $T P A$.\n\nb) Find the ratio $A P : C P$.\n\nc) Additionally, let it be given that $A C=3$. Find the volume of the prism.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3240,
"need_tools_kwargs": true,
"question": "Given a sequence of positive integers \\(\\{a_n\\}\\) that satisfies the recurrence relation \\(a_{n+3}=a_{n+2}(a_{n+1}+2a_n)\\) for \\(n = 1, 2, \\ldots\\), and with \\(a_6 = 2288\\). Find \\(a_1, a_2, a_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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3241,
"need_tools_kwargs": true,
"question": "Did Delano Burgzorg and Jean-Charles François have 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": "\\pm 4",
"style": "rule"
} | {
"index": 3242,
"need_tools_kwargs": true,
"question": "The square root of $16$ is ____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Michael Schultz",
"style": "rule"
} | {
"index": 3243,
"need_tools_kwargs": true,
"question": "Who directed the drama film based on the self-help novel written by the bishop of The Potter's House?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{3}",
"style": "rule"
} | {
"index": 3244,
"need_tools_kwargs": true,
"question": "Calculate the sum:\n\\[\n\\sum_{n=1}^\\infty \\frac{n^3 + n^2 + n - 1}{(n+3)!}\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": "22 May 1946",
"style": "rule"
} | {
"index": 3245,
"need_tools_kwargs": true,
"question": "When was the English footballer and manager who scored for Everton in 1970 FA Charity Shield born? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "- \\sqrt {3}",
"style": "rule"
} | {
"index": 3246,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=\\cos (2x-φ)- \\sqrt {3}\\sin (2x-φ)(|φ| < \\dfrac {π}{2})$, its graph is shifted to the right by $\\dfrac {π}{12}$ units and is symmetric about the $y$-axis. Find the minimum value of $f(x)$ in the interval $\\[- \\dfrac {π}{2},0\\]$.\n\nA: $-1$\nB: $\\sqrt {3}$\nC: $- \\sqrt {3}$\nD: $-2$",
"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": "mail-order bride",
"style": "rule"
} | {
"index": 3247,
"need_tools_kwargs": true,
"question": "Foreign marriage includes Japanese, American men and what women from the eastern seabord?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Missouri",
"style": "rule"
} | {
"index": 3248,
"need_tools_kwargs": true,
"question": "Mike Gibbons won the middleweight championship after the previous champion was found murdered where?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "D: \\sqrt{2}+1",
"style": "rule"
} | {
"index": 3249,
"need_tools_kwargs": true,
"question": "The focus of the parabola $y^2=2px$ ($p>0$) is $F$, and its directrix passes through the left focus of the hyperbola $\\frac{x^2}{a^2}-\\frac{y^2}{b^2}=1$ ($a>0$, $b>0$). Point $M$ is an intersection point of these two curves, and $|MF|=p$. The eccentricity of the hyperbola is ( )\n\nA: $\\sqrt{2}$\nB: $2\\sqrt{2}$\nC: $\\frac{\\sqrt{2}+1}{2}$\nD: $\\sqrt{2}+1$",
"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... | math | {
"ground_truth": "\\frac{3}{2}",
"style": "rule"
} | {
"index": 3250,
"need_tools_kwargs": true,
"question": "Let $\\mathcal{F}$ be the set of continuous functions $f: \\mathbb{R} \\to \\mathbb{R}$ such that $$ e^{f(x)}+f(x) \\geq x+1, \\: \\forall x \\in \\mathbb{R} $$ For $f \\in \\mathcal{F},$ let $$ I(f)=\\int_0^ef(x) dx $$ Determine $\\min_{f \\in \\mathcal{F}}I(f).$ *Liviu Vlaicu*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 27, 1964",
"style": "rule"
} | {
"index": 3251,
"need_tools_kwargs": true,
"question": "When did the director of film Redheads On Parade 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": "306090",
"style": "rule"
} | {
"index": 3252,
"need_tools_kwargs": true,
"question": "In an equilateral triangle \\(ABC\\), a point \\(M\\) is chosen on the extension of side \\(BC\\) beyond point \\(C\\). A line is drawn through point \\(M\\) that is parallel to side \\(AC\\), intersecting the extension of side \\(AB\\) at point \\(N\\). The medians of triangle \\(BNM\\) intersect at point \\(O\\), and point \\(D\\) is the midpoint of segment \\(AM\\). Determine the angles of triangle \\(ODC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 the Baptist.",
"style": "rule"
} | {
"index": 3253,
"need_tools_kwargs": true,
"question": "Which Bible character's figure is in the middle ground of the \"Doni Tondo\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3254,
"need_tools_kwargs": true,
"question": "Are Marcos Giralt Torrente and James Lowrey 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": 3255,
"need_tools_kwargs": true,
"question": "Do Ray Eliot and Torbjørn Færøvik have 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": "913",
"style": "rule"
} | {
"index": 3256,
"need_tools_kwargs": true,
"question": "Let $f_1$, $f_2$, $f_3$, ..., be a sequence of numbers such that\n\\[\n f_n = f_{n - 1} + f_{n - 2}\n\\] \nfor every integer $n \\ge 3$. If $f_7 = 83$, what is the sum of the first 10 terms of the sequence?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3257,
"need_tools_kwargs": true,
"question": "设整数 n\\geq4. n 名选手两两之间各进行一场乒乓球比赛（每场比赛均分出胜负）. 求 n 的最小值，使得比赛结束后，总存在有序四人组 (A_1,A_2,A_3,A_4)，满足当 1\\leq i<j\\leq 4 时，选手 A_i 战胜选手 A_j.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3258,
"need_tools_kwargs": true,
"question": "Find the number of integers \\( n \\) such that the equation\n\\[ x y^{2}+y^{2}-x-y=n \\]\nhas an infinite number of integer solutions \\((x, y)\\). \n\n(A) 0 \n(B) 1 \n(C) 2 \n(D) 3 \n(E) More than 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": "\\exists x \\in \\mathbb{R}, x^2 - x + 2 < 0",
"style": "rule"
} | {
"index": 3259,
"need_tools_kwargs": true,
"question": "The negation of the proposition \"For all $x$ in $\\mathbb{R}$, $x^2 - x + 2 \\geq 0$\" 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": "-1",
"style": "rule"
} | {
"index": 3260,
"need_tools_kwargs": true,
"question": "Define a new operation using \"☆\" and \"★\": For any rational numbers $a$ and $b$, we have $a$☆$b=a^{b}$ and $a$★$b=b^{a}$. Then $[\\left(-3\\right)$☆$2]$★$\\left(-1)=$____.",
"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": "Moana Pozzi",
"style": "rule"
} | {
"index": 3261,
"need_tools_kwargs": true,
"question": "Who is the Italian pornographic actress that was discovered by talent scout Riccardo Schicchi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3262,
"need_tools_kwargs": true,
"question": "Are the directors of films Isusumbong Kita Sa Tatay Ko and Convicts (Film) both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(1, 1, 1)",
"style": "rule"
} | {
"index": 3263,
"need_tools_kwargs": true,
"question": "Solve the following system of equations:\n\n$$\n\\begin{aligned}\nx^2 + 7y + 2 &= 2z + 4\\sqrt{7x - 3} \\\\\ny^2 + 7z + 2 &= 2x + 4\\sqrt{7y - 3} \\\\\nz^2 + 7x + 2 &= 2y + 4\\sqrt{7z - 3}\n\\end{aligned}\n$$",
"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": "Scott Richard Weiland",
"style": "rule"
} | {
"index": 3264,
"need_tools_kwargs": true,
"question": "Who was born first Kevin Woo or Scott Weiland ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3265,
"need_tools_kwargs": true,
"question": "Let $ABC$ be an equilateral triangle with side length $1$. This triangle is rotated by some angle about its center to form triangle $DEF$. The intersection of $ABC$ and $DEF$ is an equilateral hexagon with an area that is $\\frac{4}{5}$ the area of $ABC$. The side length of this hexagon can be expressed in the form $\\frac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. What is $m+n$?",
"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": "3.5 mi",
"style": "rule"
} | {
"index": 3266,
"need_tools_kwargs": true,
"question": "How long is the tributary that the Grand Street Bridge crosses over?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "18.75",
"style": "rule"
} | {
"index": 3267,
"need_tools_kwargs": true,
"question": "a is five times as good a workman as b and takes 15 days less to do a piece of work than b takes. b alone can do the whole work 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": "no",
"style": "rule"
} | {
"index": 3268,
"need_tools_kwargs": true,
"question": "Are director of film The Miracle of Morgan's Creek and director of film Marighella (film) 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": "2003",
"style": "rule"
} | {
"index": 3269,
"need_tools_kwargs": true,
"question": "Redcon-1 includes the co-producer who produced the American Hong Kong action comedy film released 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": "2010",
"style": "rule"
} | {
"index": 3270,
"need_tools_kwargs": true,
"question": "Given a strictly increasing sequence $a_1 < a_2 < \\dots$ of positive integers such that each term $a_k$ is divisible either by 1005 or 1006, but neither term is divisible by 97. Find the least possible value of the maximal difference of consecutive terms $a_{i+1} - a_i$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "192,000",
"style": "rule"
} | {
"index": 3271,
"need_tools_kwargs": true,
"question": "10 percent of Ram's monthly salary is equal to 8 percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is a certain amount, and Ram's monthly salary is Rs. 25,600, what is Abhinav's annual salary?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{7}{9}",
"style": "rule"
} | {
"index": 3272,
"need_tools_kwargs": true,
"question": "Given triangle $\\triangle ABC$, the sides opposite angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, and the area is $S$. It is given that $6S=a^{2}\\sin A+b^{2}\\sin B$. Express $\\cos C$ in terms of $a$, $b$, and $c$ when the maximum value of $\\frac{{a+b}}{c}$ is achieved.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Yvonne From Paris",
"style": "rule"
} | {
"index": 3273,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Two Sisters (1929 Film) or Yvonne From Paris?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dennis Christopher George Potter",
"style": "rule"
} | {
"index": 3274,
"need_tools_kwargs": true,
"question": "Who was born first out of Douglas Coupland and Dennis Potter?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Alan and Priscilla Oppenheimer Foundation",
"style": "rule"
} | {
"index": 3275,
"need_tools_kwargs": true,
"question": "What foundation does the inventor of the first laser printer available to the mass market run?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Alstead, New Hampshire",
"style": "rule"
} | {
"index": 3276,
"need_tools_kwargs": true,
"question": "What is the name of the town that the second president and chairman of the board of Marshall Field & Company gifted a library 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": "Slightly Married",
"style": "rule"
} | {
"index": 3277,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Slightly Married or Listen, Let's Make Love?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "51",
"style": "rule"
} | {
"index": 3278,
"need_tools_kwargs": true,
"question": "In circle $O$ with radius 10 units, chords $AC$ and $BD$ intersect at right angles at point $P$. If $BD$ is a diameter of the circle, and the length of $PC$ is 3 units, calculate the product $AP \\cdot PB$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Andrew Clement Serkis",
"style": "rule"
} | {
"index": 3279,
"need_tools_kwargs": true,
"question": "Who will be performing the voice of Baloo in the 2018 version of \"Jungle book\", Andy Serkis or Charles A. Agemian?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "23 March 1971",
"style": "rule"
} | {
"index": 3280,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film A Place To Go?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 July 1993",
"style": "rule"
} | {
"index": 3281,
"need_tools_kwargs": true,
"question": "When did the director of film Scandal At Scourie 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": "12",
"style": "rule"
} | {
"index": 3282,
"need_tools_kwargs": true,
"question": "In the adjoining figure the five circles are tangent to one another consecutively and to the lines \n$L_1$ and $L_2$. \nIf the radius of the largest circle is $18$ and that of the smallest one is $8$, then the radius of the middle circle is\n\n$\\textbf{(A)} \\ 12 \\qquad \\textbf{(B)} \\ 12.5 \\qquad \\textbf{(C)} \\ 13 \\qquad \\textbf{(D)} \\ 13.5 \\qquad \\textbf{(E)} \\ 14$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "24 July 1908",
"style": "rule"
} | {
"index": 3283,
"need_tools_kwargs": true,
"question": "When is the director of film Sailor Beware! (1956 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": "300.08",
"style": "rule"
} | {
"index": 3284,
"need_tools_kwargs": true,
"question": "A train 100 meters long completely crosses a bridge of a certain length in 24 seconds. The speed of the train is 60. How long is the bridge?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "11.67",
"style": "rule"
} | {
"index": 3285,
"need_tools_kwargs": true,
"question": "Given that the polynomial $x^2-kx+16$ has only positive integer roots, find the average of all distinct possibilities for $k$.",
"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": "3.0",
"style": "rule"
} | {
"index": 3286,
"need_tools_kwargs": true,
"question": "Mike picked 7.0 apples, Nancy ate some apples, and Keith picked 6.0 apples and 4.0 pears at the farm. There were 10 apples left. How many apples did Nancy eat?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "documentary",
"style": "rule"
} | {
"index": 3287,
"need_tools_kwargs": true,
"question": "Thin and Cancer, have which genre 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": "31",
"style": "rule"
} | {
"index": 3288,
"need_tools_kwargs": true,
"question": "Factor the expression $81x^4 - 256y^4$ and find the sum of all integers in its complete factorization $(ax^2 + bxy + cy^2)(dx^2 + exy + fy^2)$.",
"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": "\\frac{1}{4}",
"style": "rule"
} | {
"index": 3289,
"need_tools_kwargs": true,
"question": "Let \\( x, y, z \\geq 0 \\) and \\( x + y + z = 1 \\). Find the maximum value and the minimum value of \\( \\iota y + yz + zx - 3xyz \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "4 km",
"style": "rule"
} | {
"index": 3290,
"need_tools_kwargs": true,
"question": "how far away is the headquarters of PrivatAir from the city center?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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=± \\sqrt{3}",
"style": "rule"
} | {
"index": 3291,
"need_tools_kwargs": true,
"question": "Let $f(x) = - \\frac{\\pi}{x} +\\sin(x) +a^{2}\\sin \\left(x+ \\frac{\\pi}{4} \\right)$, and its maximum value is $+3$. Find the constant $a$.",
"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": "Hasheem Thabeet",
"style": "rule"
} | {
"index": 3292,
"need_tools_kwargs": true,
"question": "Who was born later, Arnie Brown or Hasheem Thabeet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "80",
"style": "rule"
} | {
"index": 3293,
"need_tools_kwargs": true,
"question": "A car was driving at 60 km/h for 20 minutes, and then at 90 km/h for another 40 minutes. What was its average speed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "22 November 1624",
"style": "rule"
} | {
"index": 3294,
"need_tools_kwargs": true,
"question": "What is the date of death of Sir Edmund Bacon, 2Nd Baronet, Of Redgrave's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 3295,
"need_tools_kwargs": true,
"question": "How many distinct triangles can be drawn using three of the dots below as vertices?\n[asy]\ndot(origin^^(1,0)^^(2,0)^^(0,1)^^(1,1)^^(2,1));\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3296,
"need_tools_kwargs": true,
"question": "Are director of film They Only Kill Their Masters and director of film The Rover (2014 film) both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-2 + 16k, 1 - 7k)",
"style": "rule"
} | {
"index": 3297,
"need_tools_kwargs": true,
"question": "Find all integer solutions to the equation \\(21x + 48y = 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": "no",
"style": "rule"
} | {
"index": 3298,
"need_tools_kwargs": true,
"question": "Do both directors of films Two Mafiosi Against Goldginger and A State Of Mind 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": "10",
"style": "rule"
} | {
"index": 3299,
"need_tools_kwargs": true,
"question": "If\n\\[x^5 + 5x^4 + 10x^3 + 10x^2 - 5x + 1 = 10,\\]and $x \\neq -1,$ compute the numerical value of $(x + 1)^4.$",
"split": "train"
} | null |
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