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": "16",
"style": "rule"
} | {
"index": 8300,
"need_tools_kwargs": true,
"question": "For a positive integer $n$, define $F(n)=\\left\\{\\begin{array}{l}{{n}^{2}(0＜n＜10)}\\\\{f(n)(n≥10)}\\end{array}\\right.$ where $f(n)$ represents the sum of the squares of the first and last digits of $n$. For example, $F(6)=6^{2}=36$, $F(123)=f(123)=1^{2}+3^{2}=10$. Define $F_{1}(n)=F(n)$, $F_{k+1}(n)=F(F_{k}(n))$. For example, $F_{1}(123)=F(123)=10$, $F_{2}(123)=F(F_{1}(123))=F(10)=f(10)=1^{2}+0^{2}=1$. Find $F_{15}(4)=\\_\\_\\_\\_\\_\\_$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac{319}{324}",
"style": "rule"
} | {
"index": 8301,
"need_tools_kwargs": true,
"question": "Phil rolls 6 fair 6-sided dice. What is the probability that at least two dice show the same number?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American Stories, Food, Family And Philosophy",
"style": "rule"
} | {
"index": 8302,
"need_tools_kwargs": true,
"question": "Which film has the director died later, American Stories, Food, Family And Philosophy or Six And One Half Times Eleven?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Jimmy Timmy Power Hour",
"style": "rule"
} | {
"index": 8303,
"need_tools_kwargs": true,
"question": "What film trilogy was released during the fifth season of the show?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bergen County",
"style": "rule"
} | {
"index": 8304,
"need_tools_kwargs": true,
"question": "What county is the city that creator of the videos referred to as \"Then Nine Commandments\" was born 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": "50",
"style": "rule"
} | {
"index": 8305,
"need_tools_kwargs": true,
"question": "Right triangle $ABC$ is inscribed in circle $W$. $\\angle{CAB}=65$ degrees, and $\\angle{CBA}=25$ degrees. The median from $C$ to $AB$ intersects $W$ and line $D$. Line $l_1$ is drawn tangent to $W$ at $A$. Line $l_2$ is drawn tangent to $W$ at $D$. The lines $l_1$ and $l_2$ intersect at $P$. Determine $\\angle{APD}$. If the answer is x^\\circ, please provide the value of x.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "576",
"style": "rule"
} | {
"index": 8306,
"need_tools_kwargs": true,
"question": "For testing a certain product, there are 6 different genuine items and 4 different defective items. The test continues until all defective items are identified. If all defective items are exactly identified by the 5th test, how many possible testing methods are there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8307,
"need_tools_kwargs": true,
"question": "Find the mass of a plate \\(D\\) with surface density \\(\\mu = \\frac{x}{y^5}\\), bounded by the curves\n\n\\[\n\\frac{x^2}{16} + y^2 = 1, \\quad \\frac{x^2}{16} + y^2 = 3, \\quad y = \\frac{x}{4}, \\quad x = 0 \\quad \\left(y \\geq \\frac{x}{4}, x \\geq 0\\right)\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": "December 6, 2017",
"style": "rule"
} | {
"index": 8308,
"need_tools_kwargs": true,
"question": "when does the 2017 youtube rewind come out",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1997",
"style": "rule"
} | {
"index": 8309,
"need_tools_kwargs": true,
"question": "This 800,000 sqft Chinese-themed mall to be built will connect to a mall that first opened its doors for business 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... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 8310,
"need_tools_kwargs": true,
"question": "Are the directors of both films Worth Winning and Crowhaven Farm 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": "19",
"style": "rule"
} | {
"index": 8311,
"need_tools_kwargs": true,
"question": "设 \\(M_{n}=\\left\\{(\\right.\\) 十进制 \\(n\\) 位纯小数 \\(0. \\overline{a_{1} a_{2} \\cdots a_{n}} \\mid a_{i}\\) 只取 0 或 1 \\((i=1,2, \\cdots, n-1)\\), \\(\\left.a_{n}=1\\right\\}\\), \\(T_{n}\\) 是 \\(M_{n}\\) 中元素的个数, \\(S_{n}\\) 是 \\(M_{n}\\) 中所有元素的和, 则 \\(\\lim _{n \\rightarrow \\infty} \\frac{S_{n}}{T_{n}}=\\frac{k}{m}\\)。请给出\\(k + m\\)的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\{-2,0,3\\}",
"style": "rule"
} | {
"index": 8312,
"need_tools_kwargs": true,
"question": "Given the sets $A=\\{-2,0\\}$ and $B=\\{-2,3\\}$, then $A\\cup B=$ __________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "36",
"style": "rule"
} | {
"index": 8313,
"need_tools_kwargs": true,
"question": "Given a function $f(x)$ that satisfies: (1) For any positive real number $x$, it always holds that $f(2x) = 2f(x)$; (2) When $x \\in (1, 2)$, $f(x) = 2 - x$. If $f(a) = f(2020)$, determine the smallest positive 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... | qa | {
"ground_truth": "Portland, Oregon",
"style": "rule"
} | {
"index": 8314,
"need_tools_kwargs": true,
"question": "Where was the director of film Rubber Racketeers 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": "Nicholas Peter Andrew Grimshaw",
"style": "rule"
} | {
"index": 8315,
"need_tools_kwargs": true,
"question": "Who is best known for having hosted a variety of shows on BBC Radio 1 and has been host of \"The Radio 1 Breakfast Show\" since 2012, he also took over Chris Moyles, the show's longest-serving presenter to date ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Austrian",
"style": "rule"
} | {
"index": 8316,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song Der Doppelgänger?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8317,
"need_tools_kwargs": true,
"question": "In a circle with radius $10$, point $M$ is located on the chord $PQ$ such that $PM = 5$ and $MQ = 10$. Through point $M$, we draw chords $AB$ and $CD$. Points $X$ and $Y$ are the intersection points of chords $AD$ and $BC$ with chord $PQ$, respectively. Given that $XM = 3$, find the length of $MY$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8318,
"need_tools_kwargs": true,
"question": "In every cell of a \\(5 \\times 5\\) square, there is a number. The numbers in any given row (any row) and any given column (any column) form an arithmetic progression. The numbers in the corners of the square are \\(1, 25, 17, 81\\). What number is in the center cell? Do not forget to justify your answer.\n\n\\[\n\\begin{array}{|c|c|c|c|c|}\n\\hline\n1 & & & & 25 \\\\\n\\hline\n & & & & \\\\\n\\hline\n & & x & & \\\\\n\\hline\n & & & & \\\\\n\\hline\n81 & & & & 17 \\\\\n\\hline\n\\end{array}\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": "June 24, 2005",
"style": "rule"
} | {
"index": 8319,
"need_tools_kwargs": true,
"question": "When did April Winchell'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": "6",
"style": "rule"
} | {
"index": 8320,
"need_tools_kwargs": true,
"question": "A palindrome is a number that reads the same forward and backward. The largest possible 4-digit palindrome in base 3 can be expressed as a 3-digit palindrome in another base $b>2$. What is $b$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 8321,
"need_tools_kwargs": true,
"question": "Let $f$ be a function taking the integers to the integers such that\n\\[f(m + n) + f(mn - 1) = f(m) f(n) + 2\\]for all integers $m$ and $n.$\n\nLet $n$ be the number of possible values of $f(2),$ and let $s$ be the sum of all possible values of $f(2).$ Find $n \\times s.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8322,
"need_tools_kwargs": true,
"question": "Are Poshteh-Ye Mazhin and Varbad-E Olya 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": "Sonya Melissa Isaacs",
"style": "rule"
} | {
"index": 8323,
"need_tools_kwargs": true,
"question": "The Isaacs are a band that include which Christian music singer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"index": 8324,
"need_tools_kwargs": true,
"question": "Given that the function $f(x)$ satisfies: $f(p+q)=f(p)f(q)$, $f(1)=3$, find the value of $\\frac {f^{2}(1)+f(2)}{f(1)}+ \\frac {f^{2}(2)+f(4)}{f(3)}+ \\frac {f^{2}(3)+f(6)}{f(5)}+ \\frac {f^{2}(4)+f(8)}{f(7)}+ \\frac {f^{2}(5)+f(10)}{f(9)}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Runaway Soldier and the Devil",
"style": "rule"
} | {
"index": 8325,
"need_tools_kwargs": true,
"question": "Joh Bruce Yeh founded a chamber ensemble who won a Grammy in 1985 for their recording of this work based on what Rusian folk tale?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "77",
"style": "rule"
} | {
"index": 8326,
"need_tools_kwargs": true,
"question": "In a high school basketball game between the Tigers and Lions, the game was tied after the first quarter. The Tigers scored points in each of the four quarters forming a geometric sequence, while the Lions scored points in each of the four quarters forming a fluctuating arithmetic sequence (adding alternately a smaller and then a larger increment). At the end of the game, the Tigers won by 3 points, and the score of neither team exceeded 100 points. Calculate the total number of points scored by both teams in the second half.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "16 March 1747",
"style": "rule"
} | {
"index": 8327,
"need_tools_kwargs": true,
"question": "When did Joanna Elisabeth Of Holstein-Gottorp's husband 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": "25",
"style": "rule"
} | {
"index": 8328,
"need_tools_kwargs": true,
"question": "A team that is 6 kilometers long is marching at a speed of 5 kilometers per hour. A messenger on horseback delivers a message from the front to the rear of the team and then immediately returns to the front, taking a total of half an hour. What is the messenger's speed in kilometers per hour?\n(A) 25\n(B) 24\n(C) 20\n(D) 18",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{2}",
"style": "rule"
} | {
"index": 8329,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$, respectively. Given that $c\\sin A= \\sqrt {3}a\\cos C$ and $(a-c)(a+c)=b(b-c)$, consider the function $f(x)=2\\sin x\\cos ( \\frac {π}{2}-x)- \\sqrt {3}\\sin (π+x)\\cos x+\\sin ( \\frac {π}{2}+x)\\cos x$.\n(1) Find the period and the equation of the axis of symmetry of the function $y=f(x)$.\n(2) Find the value of $f(B)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$5",
"style": "rule"
} | {
"index": 8330,
"need_tools_kwargs": true,
"question": "Bob gets rent assistance because he's low-income. If he gets a raise of $0.50/hour and works 40 hours a week, how much more will he actually earn a week if his housing benefit is reduced by $60/month?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"index": 8331,
"need_tools_kwargs": true,
"question": "Find the smallest value of the expression $|3 \\cdot 5^m - 11 \\cdot 13^n|$ for all $m,n \\in \\mathbb{N}$.",
"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": "\\$87.60",
"style": "rule"
} | {
"index": 8332,
"need_tools_kwargs": true,
"question": "Dave bought 3 packs of white T-shirts, 2 packs of blue T-shirts, 4 packs of red T-shirts, and 1 pack of green T-shirts for his basketball team. The white T-shirts come in packs of 6 at $12 each, the blue T-shirts come in packs of 4 at $8 each, the red T-shirts come in packs of 5 at $10 each, and the green T-shirts come in a pack of 3 at $6. If Dave received a 10% discount on the white T-shirts, 5% on the blue T-shirts, 15% on the red T-shirts, and no discount on the green T-shirts, what is the total cost of the T-shirts Dave bought?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8333,
"need_tools_kwargs": true,
"question": "Given $F_{1}$ and $F_{2}$ are two foci of the ellipse $C$: $\\frac{{x}^{2}}{16}+\\frac{{y}^{2}}{4}=1$, $P$ and $Q$ are two points on $C$ symmetric with respect to the origin, and $|PQ|=|F_{1}F_{2}|$, then the area of quadrilateral $PF_{1}QF_{2}$ 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": "an 8 acre lake",
"style": "rule"
} | {
"index": 8334,
"need_tools_kwargs": true,
"question": "What is one of the most notable features of the resort which replaced that which closed on January 26, 1993?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8335,
"need_tools_kwargs": true,
"question": "Are director of film Shine On, Harvest Moon (1944 Film) and director of film Justice Chaudhury 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",
"style": "rule"
} | {
"index": 8336,
"need_tools_kwargs": true,
"question": "Given that the arithmetic square root of $m$ is $3$, and the square roots of $n$ are $a+4$ and $2a-16$. \n$(1)$ Find the values of $m$ and $n$. \n$(2)$ Find $\\sqrt[3]{{7m-n}}$.",
"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": "0<a<100 ; 42 \\text { km, 24 \\text { km, 33 км}} ",
"style": "rule"
} | {
"index": 8337,
"need_tools_kwargs": true,
"question": "\nThree compressor stations are not located on the same line but are connected by straight-line roads. The distance from the first station to the third station via the second station is twice as long as the direct distance between them; the distance from the first station to the second station via the third station is $a$ km longer than the direct distance; the distance from the second station to the third station via the first station is 75 km. Determine all possible values of $a$ for which such an arrangement of the compressor stations is possible. Calculate the distances between the compressor stations when $a=15$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1824",
"style": "rule"
} | {
"index": 8338,
"need_tools_kwargs": true,
"question": "When was the city where Deirdre McCloskey was born founded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Heidelberg",
"style": "rule"
} | {
"index": 8339,
"need_tools_kwargs": true,
"question": "Where was the husband of Clara Tott 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": "Ribosomes",
"style": "rule"
} | {
"index": 8340,
"need_tools_kwargs": true,
"question": "The large subunit and small subunit that use two types of RNA are major components that make up what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"index": 8341,
"need_tools_kwargs": true,
"question": "Consider an octagonal lattice where each vertex is evenly spaced and one unit from its nearest neighbor. How many equilateral triangles have all three vertices in this lattice? Every side of the octagon is extended one unit outward with a single point placed at each extension, keeping the uniform distance of one unit between adjacent points.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Faith Under Fire",
"style": "rule"
} | {
"index": 8342,
"need_tools_kwargs": true,
"question": "The Challenge of the Cults and New Religions includes a foreword by the journalist who hosted what television program?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "fourth place",
"style": "rule"
} | {
"index": 8343,
"need_tools_kwargs": true,
"question": "In which place did the poker player from a village in Nassau County, New York finish at the 2009 World Series of Poker Main Event?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bombay",
"style": "rule"
} | {
"index": 8344,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Ankhon Mein Tum Ho?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8345,
"need_tools_kwargs": true,
"question": "Do Glenyys Romanes and Karolina Zalewska 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... | qa | {
"ground_truth": "20 December 1765",
"style": "rule"
} | {
"index": 8346,
"need_tools_kwargs": true,
"question": "When is Charles William George St John's father'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": "1",
"style": "rule"
} | {
"index": 8347,
"need_tools_kwargs": true,
"question": "求所有的函数 f:\\bR\\rightarrow\\bR，使得对任意实数 x,y,z，均有f(f(x)+f(y)+f(z))=f(f(x)-f(y))+f(2xy+f(z))+2f(xz-yz)。原始答案的形式为f(x) = ax或f(x) = bx^2，请给出a + b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": "Ron Perlman",
"style": "rule"
} | {
"index": 8348,
"need_tools_kwargs": true,
"question": "Who is the star of the 2004 movie that Nancy Bishop did European casting for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "n^{2}+n",
"style": "rule"
} | {
"index": 8349,
"need_tools_kwargs": true,
"question": "Given that $S_{n}$ is the sum of the first $n$ terms of the sequence ${a_{n}}$, and $2S_{n}=3a_{n}-2 (n\\in\\mathbb{N}^{*})$.\n(I) Find $a_{n}$ and $S_{n}$;\n(II) If $b_{n}=\\log_{3}(S_{n}+1)$, find the sum of the first $n$ terms of the sequence ${b_{2n}}$, denoted as $T_{n}$.",
"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}{2}",
"style": "rule"
} | {
"index": 8350,
"need_tools_kwargs": true,
"question": "Angie, Bridget, Carlos, Diego, and Emma are seated at random around a round table. Calculate the probability that Angie and Carlos are seated directly across from each other in this arrangement.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "672",
"style": "rule"
} | {
"index": 8351,
"need_tools_kwargs": true,
"question": "The Screamers are coached by Coach Yellsalot. The Screamers have 12 players, but two of them, Bob and Yogi, refuse to play together. How many starting lineups (of 5 players) can Coach Yellsalot make, if the starting lineup can't contain both Bob and Yogi? (The order of the 5 players in the lineup does not matter; that is, two lineups are the same if they consist of the same 5 players.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Akinwande Oluwole \"Wole\" Babatunde Soyinka",
"style": "rule"
} | {
"index": 8352,
"need_tools_kwargs": true,
"question": "Which writer, P. J. O'Rourke or Wole Soyinka, was awarded the 1986 Nobel Prize in Literature?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1203",
"style": "rule"
} | {
"index": 8353,
"need_tools_kwargs": true,
"question": "In an exam with 3 questions, four friends checked their answers after the test and found that they got 3, 2, 1, and 0 questions right, respectively. Each of them made 3 statements about their performance:\n\n- Friend A claimed: \"I got two questions correct, and I did better than B, C scored less than D.\"\n- Friend B stated: \"I got all questions right, C got them all wrong, and A did worse than D.\"\n- Friend C mentioned: \"I got one question correct, D got two questions right, B did worse than A.\"\n- Friend D asserted: \"I got all questions right, C did worse than me, A did worse than B.\"\n\nGiven that each person tells as many true statements as the number of questions they got right, determine how many questions each friend got right, represented as \\(A, B, C, D\\). What is the four-digit number \\(\\overline{\\mathrm{ABCD}}\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1.291",
"style": "rule"
} | {
"index": 8354,
"need_tools_kwargs": true,
"question": "If $a$, $b$ are nonzero real numbers such that $a^2+b^2=8ab$, find the value of $\\left|\\frac{a+b}{a-b}\\right|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 8355,
"need_tools_kwargs": true,
"question": "\\(\\triangle ABC\\) 的三边长 \\(a, b, c\\) 满足：\\(a^2+b^2+3c^2=7\\)，则 \\(\\triangle ABC\\) 的面积的最大值的原始答案形式为\\(\\frac{\\sqrt{k}}{m}\\)，请给出k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"index": 8356,
"need_tools_kwargs": true,
"question": "Joy has 25 thin rods, each of different lengths: 2 cm, 4 cm, 6 cm, ..., 48 cm, 50 cm. She places rods of length 5 cm, 10 cm, and 21 cm on a table. Determine how many of the remaining rods she can select as a fourth rod to form a quadrilateral with a positive area.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "July 20, 1989",
"style": "rule"
} | {
"index": 8357,
"need_tools_kwargs": true,
"question": "When was the singer of Paper or Plastic 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": "Jefferson County",
"style": "rule"
} | {
"index": 8358,
"need_tools_kwargs": true,
"question": "The city where WKYI-CD is located is the historical and nominal seat of what county?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"Kala\"",
"style": "rule"
} | {
"index": 8359,
"need_tools_kwargs": true,
"question": "What is the name of the studio album by the British musician around whose vocals \"Swagga Like Us\" was constructed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "932",
"style": "rule"
} | {
"index": 8360,
"need_tools_kwargs": true,
"question": "Richard and Shreyas are arm wrestling against each other. They will play $10$ rounds, and in each round, there is exactly one winner. If the same person wins in consecutive rounds, these rounds are considered part of the same “streak”. How many possible outcomes are there in which there are strictly more than $3$ streaks? For example, if we denote Richard winning by $R$ and Shreyas winning by $S,$ $SSRSSRRRRR$ is one such outcome, with $4$ streaks.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sin \\angle EAC = \\frac{4}{\\sqrt{17}}",
"style": "rule"
} | {
"index": 8361,
"need_tools_kwargs": true,
"question": "Let $ABCDEFGH$ be a rectangular prism where $AB = CD = EF = GH = 2$, $BC = DA = HG = EF = 4$, and $AE = BF = CG = DH = 1$. Find $\\sin \\angle EAC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "100",
"style": "rule"
} | {
"index": 8362,
"need_tools_kwargs": true,
"question": "Let $T$ be the set of lattice points in the coordinate plane, but this time both coordinates are integers between $1$ and $45$ inclusive. Exactly $700$ points in $T$ lie on or below a line with equation $y = mx$. The possible values of $m$ lie in an interval of length $\\frac{c}{d}$, where $c$ and $d$ are relatively prime positive integers. What is $c+d?$\n- **A)** $50$\n- **B)** $75$\n- **C)** $85$\n- **D)** $100$\n- **E)** $120$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8363,
"need_tools_kwargs": true,
"question": "Which country the performer of song Dream Dancing (Cole Porter Song) is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{9}{16}",
"style": "rule"
} | {
"index": 8364,
"need_tools_kwargs": true,
"question": "In a regular octagon \\(ABCDEFGH\\), points \\(P\\), \\(Q\\), \\(R\\), \\(S\\), \\(T\\), \\(U\\), \\(V\\), and \\(W\\) are chosen on the sides \\(\\overline{AB}\\), \\(\\overline{BC}\\), \\(\\overline{CD}\\), \\(\\overline{DE}\\), \\(\\overline{EF}\\), \\(\\overline{FG}\\), \\(\\overline{GH}\\), and \\(\\overline{HA}\\) respectively, such that the lines \\(AG\\), \\(PW\\), \\(QT\\), \\(UR\\), and \\(SV\\) are parallel and equally spaced. Determine the ratio of the area of octagon \\(PQRSTUVW\\) to the area of octagon \\(ABCDEFGH\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "July 8, 1951",
"style": "rule"
} | {
"index": 8365,
"need_tools_kwargs": true,
"question": "When was one of the supporting roles actors in \"This Is Spinal Tap\" 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": "London",
"style": "rule"
} | {
"index": 8366,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Uncle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8367,
"need_tools_kwargs": true,
"question": "A rectangle \\(ADEC\\) is circumscribed around a right triangle \\(ABC\\) with legs \\(AB = 5\\) and \\(BC = 6\\). What is the area of \\(ADEC\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "ABBA",
"style": "rule"
} | {
"index": 8368,
"need_tools_kwargs": true,
"question": "Which group sang a holiday song similar to the song that Tarja Turunen recorded as \"Heinillä Härkien?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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\\sqrt{3}",
"style": "rule"
} | {
"index": 8369,
"need_tools_kwargs": true,
"question": "Let \\(\\omega = -\\frac{1}{2} + \\frac{1}{2}i\\sqrt{3}\\). Define \\(T\\) as the set of all points in the complex plane of the form \\(2a + b\\omega + c\\omega^2\\), where \\(0 \\leq a \\leq 2\\), \\(0 \\leq b \\leq 2\\), and \\(0 \\leq c \\leq 2\\). Calculate the area of the set \\(T\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(40+5)÷5",
"style": "rule"
} | {
"index": 8370,
"need_tools_kwargs": true,
"question": "What is the quotient when the sum of 40 and 5 is divided by 5? Write the expression.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Dean Cundey",
"style": "rule"
} | {
"index": 8371,
"need_tools_kwargs": true,
"question": "Who directed the 1997 film where Eve Gordon starred opposite Rick Moranis?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8372,
"need_tools_kwargs": true,
"question": "Define $||x||$ $(x\\in R)$ as the integer closest to $x$. Let $F(x)=||x||$, for example, $F(\\frac{4}{3})=1, F(\\sqrt{2})=1$. Then, $\\frac{1}{{F(1)}}+\\frac{1}{{F(\\sqrt{2})}}+\\frac{1}{{F(\\sqrt{3})}}+\\frac{1}{{F(2)}}+…+\\frac{1}{{F(\\sqrt{99})}}+\\frac{1}{{F(10)}}=\\_\\_\\_\\_\\_\\_$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Mahaprithibi",
"style": "rule"
} | {
"index": 8373,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Mahaprithibi or Under Cover (1916 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": "2.76393202250021",
"style": "rule"
} | {
"index": 8374,
"need_tools_kwargs": true,
"question": "In rectangle \\(ABCD\\), \\(AB=1\\) and \\(BC=2\\). Point \\(E\\) is on side \\(BC\\), and point \\(F\\) is on side \\(CD\\). If the length of \\(|\\overrightarrow{EF}| = 1\\), find the minimum value of \\(\\overrightarrow{AE} \\cdot \\overrightarrow{AF}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May 2, 1951",
"style": "rule"
} | {
"index": 8375,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Maisie Was A Lady?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8376,
"need_tools_kwargs": true,
"question": "What nationality is Charles I Louis, Elector Palatine's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "99999",
"style": "rule"
} | {
"index": 8377,
"need_tools_kwargs": true,
"question": "I bought a lottery ticket, the sum of the digits of its five-digit number turned out to be equal to the age of my neighbor. Determine the number of the ticket, given that my neighbor easily solved this problem.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 8378,
"need_tools_kwargs": true,
"question": "If the number 79777 has the digit 9 crossed out, the result is the number 7777. How many different five-digit numbers exist from which 7777 can be obtained by crossing out one digit?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1681",
"style": "rule"
} | {
"index": 8379,
"need_tools_kwargs": true,
"question": "No math tournament exam is complete without a self referencing question. What is the product of\nthe smallest prime factor of the number of words in this problem times the largest prime factor of the\nnumber of words in this problem",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8380,
"need_tools_kwargs": true,
"question": "In tetrahedron \\(ABCD\\), faces \\(ABC\\) and \\(BCD\\) are both equilateral triangles with side length 2. Additionally, \\(AD = 2\\sqrt{2}\\). Points \\(M\\) and \\(N\\) are the midpoints of edges \\(AB\\) and \\(CD\\), respectively. The shortest distance between \\(M\\) and \\(N\\) in the tetrahedron is \n\n(A) 2 \n(B) \\(\\frac{3}{2}\\) \n(C) 1 \n(D) \\(\\frac{5}{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": "Starsailor",
"style": "rule"
} | {
"index": 8381,
"need_tools_kwargs": true,
"question": "What rock group's 2003 album contains some of the last productions by a record producer later tried and convicted of murder?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{9}{2}",
"style": "rule"
} | {
"index": 8382,
"need_tools_kwargs": true,
"question": "$ABCD$ is a trapezoid where the measure of base $\\overline{AB}$ is three times the measure of the base $\\overline{CD}$. Additionally, the perimeter of trapezoid $ABCD$ is 36 units. Point $E$ is the intersection of the diagonals. If the length of diagonal $\\overline{AC}$ is 18 units, determine the length of segment $\\overline{EC}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8383,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Johnny Tiger?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ciarán Bourke",
"style": "rule"
} | {
"index": 8384,
"need_tools_kwargs": true,
"question": "Who is one of the original founding members of the band who released an album in 1964?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Jon Glaser",
"style": "rule"
} | {
"index": 8385,
"need_tools_kwargs": true,
"question": "What writer and sketch performer for many years on \"Late Night with Conan O'Brien\" had a series that aired consecutively each night between December 7, 2015 and December 11, 2015?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "ten",
"style": "rule"
} | {
"index": 8386,
"need_tools_kwargs": true,
"question": "Michael Dean Perry's older brother was a defensive lineman in the National Football League for how many seasons?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(7,0)",
"style": "rule"
} | {
"index": 8387,
"need_tools_kwargs": true,
"question": "Find the $x$-intercept of the line $4x + 7y = 28$. Provide your answer as an ordered pair. Express the $x$ and $y$ coordinates as common fractions as needed.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8388,
"need_tools_kwargs": true,
"question": "In the grid below, each of the blank squares and the square marked $X$ are to be filled by the mean of the two numbers in its adjacent squares. Which number should go in the square marked $X$?\n\nA) 15 \nB) 16 \nC) 17 \nD) 18 \nE) 19",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Waris Hussein",
"style": "rule"
} | {
"index": 8389,
"need_tools_kwargs": true,
"question": "The actor that played the Artful Dodger in \"Oliver!\" stars with Mark Lester in a 1971 British film directed by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bosanski Oštrodlaki Gonič",
"style": "rule"
} | {
"index": 8390,
"need_tools_kwargs": true,
"question": "In between Bosnian Coarse-haired Hound and Small Greek Domestic Dog, which one is hunting dog?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3.27272727272727",
"style": "rule"
} | {
"index": 8391,
"need_tools_kwargs": true,
"question": "In a \\(5 \\times 5\\) table, numbers (not necessarily integers) are placed such that each number is three times smaller than the number in the cell to its right and twice larger than the number in the cell below it. Find the number in the central cell, given that the sum of all the numbers in the table is 341.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "5 June 1977",
"style": "rule"
} | {
"index": 8392,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Good Morning, Little Countess?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "29 September 1972",
"style": "rule"
} | {
"index": 8393,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Captain And His Hero?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sara Gilbert",
"style": "rule"
} | {
"index": 8394,
"need_tools_kwargs": true,
"question": "Which star of Poison Ivy received two Primetime Emmy Award nominations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "803",
"style": "rule"
} | {
"index": 8395,
"need_tools_kwargs": true,
"question": "From the set of integers $\\{1,2,3,\\dots,2009\\}$, choose $k$ pairs $\\{a_i,b_i\\}$ with $a_i<b_i$ so that no two pairs have a common element. Suppose that all the sums $a_i+b_i$ are distinct and less than or equal to $2009$. Find the maximum 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": "\\frac{5}{2}",
"style": "rule"
} | {
"index": 8396,
"need_tools_kwargs": true,
"question": "Given the polar equation of a conic section \\(\\rho = \\frac{5}{3 - 2 \\cos \\theta}\\), what is the distance from its focus to its corresponding directrix?\nA. 5\nB. \\(\\frac{5}{2}\\)\nC. \\(\\frac{5}{3}\\)\nD. \\(\\frac{2}{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": "1100",
"style": "rule"
} | {
"index": 8397,
"need_tools_kwargs": true,
"question": "Consider the sequence created by intermixing the following sets of numbers: the first $1000$ odd numbers, and the squares of the first $100$ integers. What is the median of the new list of $1100$ numbers?\n- $1, 3, 5, \\ldots, 1999$\n- $1^2, 2^2, \\ldots, 100^2$\nA) $1089$\nB) $1095$\nC) $1100$\nD) $1102$\nE) $1105$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Gregg Palmer",
"style": "rule"
} | {
"index": 8398,
"need_tools_kwargs": true,
"question": "What actor had varying roles in twenty episodes of CBS's \"Gunsmoke\" with the actor who was best known for portraying Marshal Matt Dillon for 20 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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 8399,
"need_tools_kwargs": true,
"question": "Are both directors of films Madha Gaja Raja and The Silver Lining (1927 Film) from the same country?",
"split": "train"
} | null |
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