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": "973",
"style": "rule"
} | {
"index": 6600,
"need_tools_kwargs": true,
"question": "A sequence of positive integers with $a_1=1$ and $a_9+a_{10}=646$ is formed so that the first three terms are in geometric progression, the second, third, and fourth terms are in arithmetic progression, and, in general, for all $n\\ge1,$ the terms $a_{2n-1}, a_{2n}, a_{2n+1}$ are in geometric progression, and the terms $a_{2n}, a_{2n+1},$ and $a_{2n+2}$ are in arithmetic progression. Let $a_n$ be the greatest term in this sequence that is less than 1000. Find $n+a_n.$",
"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": "no",
"style": "rule"
} | {
"index": 6601,
"need_tools_kwargs": true,
"question": "Are the directors of both films Richard Iii (1955 Film) and His Days Are Numbered 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": "The Secret Life of the American Teenager",
"style": "rule"
} | {
"index": 6602,
"need_tools_kwargs": true,
"question": " Christmas Bounty is a 2013 television film that stars an American actress who is most notable for her role in 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... | qa | {
"ground_truth": "Nancy Davis Reagan",
"style": "rule"
} | {
"index": 6603,
"need_tools_kwargs": true,
"question": "What American film actress served as the First Lady of the United States from 1981 to 1989 starred in a 1957 black-and-white World War II submarine film drama from Columbia Pictures?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6604,
"need_tools_kwargs": true,
"question": "Are both Grupčin and Gardeh Now 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": "32",
"style": "rule"
} | {
"index": 6605,
"need_tools_kwargs": true,
"question": "Quentin, Skylar, and Colten have a total of 383 chickens. Quentin has some more than double the chickens that Skylar has. Skylar has 4 less than triple the number of chickens that Colten has. Colten has 37 chickens. How many more chickens does Quentin have than double the number of chickens Skylar has?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Washington",
"style": "rule"
} | {
"index": 6606,
"need_tools_kwargs": true,
"question": "Where did Herbert Furth's mother 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": "11",
"style": "rule"
} | {
"index": 6607,
"need_tools_kwargs": true,
"question": "In right $\\triangle ABC$ with hypotenuse $\\overline{AB}$, $AC = 12$, $BC = 35$, and $\\overline{CD}$ is the altitude to $\\overline{AB}$. Let $\\omega$ be the circle having $\\overline{CD}$ as a diameter. Let $I$ be a point outside $\\triangle ABC$ such that $\\overline{AI}$ and $\\overline{BI}$ are both tangent to circle $\\omega$. The ratio of the perimeter of $\\triangle ABI$ to the length $AB$ can be expressed in the form $\\frac {m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\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": "( \\sqrt{2}, \\frac{\\pi}{4})",
"style": "rule"
} | {
"index": 6608,
"need_tools_kwargs": true,
"question": "The polar equation of a circle is $\\rho=2(\\cos\\theta+\\sin\\theta)$. What is the polar coordinate of the center of this circle?\n\nA: $(1, \\frac{\\pi}{4})$ \nB: $(\\frac{1}{2}, \\frac{\\pi}{4})$ \nC: $(\\sqrt{2}, \\frac{\\pi}{4})$ \nD: $(2, \\frac{\\pi}{4})$",
"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": "\\frac {7}{6}",
"style": "rule"
} | {
"index": 6609,
"need_tools_kwargs": true,
"question": "Given that an ellipse has the equation $\\frac {x^{2}}{a^{2}} + \\frac {y^{2}}{b^{2}} = 1$ with $a > b > 0$ and eccentricity $e = \\frac {\\sqrt {6}}{3}$. The distance from the origin to the line that passes through points $A(0,-b)$ and $B(a,0)$ is $\\frac {\\sqrt {3}}{2}$.\n\n$(1)$ Find the equation of the ellipse.\n\n$(2)$ Given the fixed point $E(-1,0)$, if the line $y = kx + 2 \\ (k \\neq 0)$ intersects the ellipse at points $C$ and $D$, is there a value of $k$ such that the circle with diameter $CD$ passes through point $E$? Please provide an explanation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "f(2013) = -3",
"style": "rule"
} | {
"index": 6610,
"need_tools_kwargs": true,
"question": "Define a function $f(x)$ on $\\mathbb{R}$ such that\n$$\nf(x) = \\begin{cases}\n\\log_{2}(8-x) & \\text{if } x \\leq 0, \\\\\nf(x-1) - f(x-2) & \\text{if } x > 0.\n\\end{cases}\n$$\nDetermine the value of $f(2013)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1705",
"style": "rule"
} | {
"index": 6611,
"need_tools_kwargs": true,
"question": "Consider trapezoid \\(ABCD\\) with bases \\(AB\\) and \\(CD\\) measuring 55 and 31 units, respectively. The diagonals \\(AC\\) and \\(BD\\) intersect at point \\(O\\) and are mutually perpendicular. Calculate the dot product of the vectors \\(\\overrightarrow{AD}\\) and \\(\\overrightarrow{BC}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1966",
"style": "rule"
} | {
"index": 6612,
"need_tools_kwargs": true,
"question": "James Eddie is a NBA player for a team that was founded in this 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": "5",
"style": "rule"
} | {
"index": 6613,
"need_tools_kwargs": true,
"question": "Under a revised proposal, a year that ends in double zeroes will be considered a leap year only if the year leaves a remainder of 300 or 600 when divided by 800. How many leap years will there be that end in double zeroes from the year 1500 to 3500?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "David Michael Hasselhoff",
"style": "rule"
} | {
"index": 6614,
"need_tools_kwargs": true,
"question": "What Avalanche actor also set a Guinness World record?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\"College Town\"",
"style": "rule"
} | {
"index": 6615,
"need_tools_kwargs": true,
"question": "What was the previous name of the suburb that is included in Norwood electoral district?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3 \\sin \\left(2 x+\\frac{\\pi}{6}\\right)",
"style": "rule"
} | {
"index": 6616,
"need_tools_kwargs": true,
"question": "Given the function f(x) = A sin(ωx + φ) (x ∈ R) (where A > 0, $ω > 0, 0 < φ < \\frac{π}{2}$) and the distance between two adjacent intersection points of the graph and the x-axis is $\\frac{π}{2}$, and one of the highest points on the graph is ($\\frac{π}{6}$, 3), find the analytical expression of the function f(x) = \\_\\_\\_\\_\\_\\_.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "14 July 2015",
"style": "rule"
} | {
"index": 6617,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Manipayal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1966",
"style": "rule"
} | {
"index": 6618,
"need_tools_kwargs": true,
"question": "What year was a screenwriter and co-creator for an adult animated television series revolving around the activity of the Sebben & Sebben law firm 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": "Thomas Stearns Eliot",
"style": "rule"
} | {
"index": 6619,
"need_tools_kwargs": true,
"question": "Which American left the country to become a British citizen, Stan Lee or T. S. Eliot?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "City of Port Phillip",
"style": "rule"
} | {
"index": 6620,
"need_tools_kwargs": true,
"question": "What local government area oversees the city where the Lake Oval is located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{4}",
"style": "rule"
} | {
"index": 6621,
"need_tools_kwargs": true,
"question": "In an acute-angled triangle \\(ABC\\), the angle \\(\\angle BAC = 60^\\circ\\). A circle is constructed with \\(BC\\) as the diameter, which intersects side \\(AB\\) at point \\(D\\) and side \\(AC\\) at point \\(E\\). Calculate the ratio of the area of quadrilateral \\(BDEC\\) to the area of triangle \\(ABC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "21 June 1806",
"style": "rule"
} | {
"index": 6622,
"need_tools_kwargs": true,
"question": "What is the date of death of Richard Watson (Politician)'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": "2",
"style": "rule"
} | {
"index": 6623,
"need_tools_kwargs": true,
"question": "Today there are $2^n$ species on the planet Kerbin, all of which are exactly n steps from an original species. In an evolutionary step, One species split into exactly two new species and died out in the process. There were already $2^n-1$ species in the past, which are no longer present today can be found, but are only documented by fossils. The famous space pioneer Jebediah Kerman once suggested reducing the biodiversity of a planet by doing this to measure how closely two species are on average related, with also already extinct species should be taken into account. The degree of relationship is measured two types, of course, by how many evolutionary steps before or back you have to do at least one to get from one to the other. What is the biodiversity of the planet Kerbin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Katherine Grace McNamara",
"style": "rule"
} | {
"index": 6624,
"need_tools_kwargs": true,
"question": "Which actress, known for her role as Harper Munroe on the MTV comedy series \"Happyland\", starred alongside Laura Marano, Parker Mack, Michelle Clunie and Kathleen Wilhoite in the film A Sort of Homecoming?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6625,
"need_tools_kwargs": true,
"question": "What nationality is the director of film A Stranger In Town (1943 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": "8\\sqrt{2}",
"style": "rule"
} | {
"index": 6626,
"need_tools_kwargs": true,
"question": "The vertex of the parabola $y^2 = 4x$ is $O$, and the coordinates of point $A$ are $(5, 0)$. A line $l$ with an inclination angle of $\\frac{\\pi}{4}$ intersects the line segment $OA$ (but does not pass through points $O$ and $A$) and intersects the parabola at points $M$ and $N$. The maximum area of $\\triangle AMN$ 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": "10908",
"style": "rule"
} | {
"index": 6627,
"need_tools_kwargs": true,
"question": "Let \\( G, O, D, I, \\) and \\( T \\) be digits that satisfy the following equation:\n\n\\[\n\\begin{array}{cccc}\n & G & O & G & O \\\\\n+ & D & I & D & I \\\\\n\\hline\nG & O & D & O & T\n\\end{array}\n\\]\n\n(Note that \\( G \\) and \\( D \\) cannot be \\( 0 \\), and that the five variables are not necessarily different.)\n\nCompute the value of GODOT.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2 + \\sqrt{2}, 2 - \\sqrt{2}",
"style": "rule"
} | {
"index": 6628,
"need_tools_kwargs": true,
"question": "Find all real solutions to the equation:\n\\[\\frac{(x - 1)(x - 3)(x - 5)(x - 6)(x - 3)(x - 1)}{(x - 3)(x - 6)(x - 3)} = 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": "61 + 81 + 145 + 43 + 17 = 347",
"style": "rule"
} | {
"index": 6629,
"need_tools_kwargs": true,
"question": "Let $P(x) = x^2 - 4x - 4$. A real number $x$ is chosen at random from the interval $3 \\le x \\le 20$. The probability that $\\lfloor\\sqrt{P(x)}\\rfloor = \\sqrt{P(\\lfloor x \\rfloor)}$ is equal to $\\frac{\\sqrt{a} + \\sqrt{b} + \\sqrt{c} - d}{e}$ , where $a$, $b$, $c$, $d$, and $e$ are positive integers. Find $a + b + c + d + e$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(2,2)",
"style": "rule"
} | {
"index": 6630,
"need_tools_kwargs": true,
"question": "Given the system of equations $\\left\\{\\begin{array}{l}2x-y=2\\\\ y=ax+b\\end{array}\\right.$ has a solution of $\\left\\{\\begin{array}{l}x=2\\\\ y=2\\end{array}\\right.$, then the coordinates of the intersection point of the line $l_{1}$:$y=2x-2$ and the line $l_{2}$:$y=ax+b$ are ____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6631,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $20, p, q, r, s, s+10, 40$, what is the value of $s$?",
"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... | math | {
"ground_truth": "193",
"style": "rule"
} | {
"index": 6632,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), there is a right angle at \\(C\\), and \\(D\\) is the foot of the altitude from \\(C\\) to \\(AB\\). Points \\(L\\), \\(M\\), and \\(N\\) are the midpoints of segments \\(AD\\), \\(DC\\), and \\(CA\\), respectively. Given that \\(CL = 7\\) and \\(BM = 12\\), calculate \\(BN^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": 6633,
"need_tools_kwargs": true,
"question": "Do the movies The 10th Victim and Bunker Bean, originate from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Umera Ahmad, 2021, August",
"style": "rule"
} | {
"index": 6634,
"need_tools_kwargs": true,
"question": "Who wrote the drama \"HUM KAHAN K SACHAY THAY\"? In which year and month was it released?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 6635,
"need_tools_kwargs": true,
"question": "Are Edward Martell (Politician) and Atsede Baysa 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": "Aniki-Bóbó",
"style": "rule"
} | {
"index": 6636,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Aniki-Bóbó or Shaft (2019 film)? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Barbadian",
"style": "rule"
} | {
"index": 6637,
"need_tools_kwargs": true,
"question": "The song Skin which was included in Rihanna's Loud Tour is 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": "The Lawless Nineties",
"style": "rule"
} | {
"index": 6638,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Utopia (1983 Film) or The Lawless Nineties?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Nuclear Safety Inspector",
"style": "rule"
} | {
"index": 6639,
"need_tools_kwargs": true,
"question": "Waylon Smithers appeared an episode of The Simpsons that originally aired on January 21, 1990, and that has Homer promoted to what position?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "y=f(1-x)",
"style": "rule"
} | {
"index": 6640,
"need_tools_kwargs": true,
"question": "The graph of the function $y=f(x)$ is $C$. The graph symmetric to $C$ about the line $x=1$ is $C_{1}$. After moving $C_{1}$ two units to the left, we obtain the graph $C_{2}$. The function corresponding to $C_{2}$ is ($\\quad$).\nA: $y=f-(x)$\nB: $y=f(1-x)$\nC: $y=f(2-x)$\nD: $y=f(3-x)$",
"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": "2014",
"style": "rule"
} | {
"index": 6641,
"need_tools_kwargs": true,
"question": "Given the equation \\(x + 11y + 11z = n\\) where \\(n \\in \\mathbf{Z}_{+}\\), there are 16,653 sets of positive integer solutions \\((x, y, z)\\). Find the minimum value of \\(n\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "x = \\pm \\frac{\\pi}{6} + \\pi k.",
"style": "rule"
} | {
"index": 6642,
"need_tools_kwargs": true,
"question": "\\(\\sin 3x \\sin^3 x + \\cos 3x \\cos^3 x = \\frac{1}{8}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "11 July 2007",
"style": "rule"
} | {
"index": 6643,
"need_tools_kwargs": true,
"question": "What is the date of death of Jana Cilliers's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 6644,
"need_tools_kwargs": true,
"question": "已知 $\\forall x \\in R, f(x)=2 x^{4}+m x^{3}+(m+6) x^{2}+m x+2>0$, 求正整数 $m$ 的最大值.",
"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",
"style": "rule"
} | {
"index": 6645,
"need_tools_kwargs": true,
"question": "Find all prime numbers that do not have a multiple ending in $2015$.",
"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": "Roy Stanley Emerson",
"style": "rule"
} | {
"index": 6646,
"need_tools_kwargs": true,
"question": "Which tennis player is older, Roy Emerson or Wayne Black?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Newcastle and Carlisle Railway",
"style": "rule"
} | {
"index": 6647,
"need_tools_kwargs": true,
"question": "The two small towns', Fenton, Cumbria and Brampton, Carlisle are near this large railway.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "58.33",
"style": "rule"
} | {
"index": 6648,
"need_tools_kwargs": true,
"question": "A cyclist travels the 150 kilometers from $C$ to $D$ uphill at 25 kilometers per hour, then returns to $C$ downhill at a faster speed. If the average speed for the round trip is 35 kilometers per hour, what is the downhill speed, in kilometers per hour, of the cyclist traveling from $D$ to $C$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac{1} { 4027}",
"style": "rule"
} | {
"index": 6649,
"need_tools_kwargs": true,
"question": "If $x$ is a real number and $k$ is a nonnegative integer, recall that the binomial coefficient $\\binom{x}{k}$ is defined by the formula\n\\[\n \\binom{x}{k} = \\frac{x(x - 1)(x - 2) \\dots (x - k + 1)}{k!} \\, .\n\\]Compute the value of\n\\[\n \\frac{\\binom{1/2}{2014} \\cdot 4^{2014}}{\\binom{4028}{2014}} \\, .\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": "Canadian",
"style": "rule"
} | {
"index": 6650,
"need_tools_kwargs": true,
"question": "Which country the performer of song Soldier (Neil Young 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... | qa | {
"ground_truth": " Pathankot",
"style": "rule"
} | {
"index": 6651,
"need_tools_kwargs": true,
"question": "Where was the first \"All-India Ijtema of Jamaat-e-Islami\" held?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "63",
"style": "rule"
} | {
"index": 6652,
"need_tools_kwargs": true,
"question": "Let all the firms in a country have a certain rank, which is a natural number. When two firms of ranks $m$ and $n$ merge, a new firm of rank $(m+n)$ is formed. The profit of the new firm will be $m \\cdot n$ more than the sum of the profits of the firms that formed it. The profit of a firm of the first rank is 1 unit. Does there exist a rank at which the profit of the firm will be 2016 units?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "La Jolla",
"style": "rule"
} | {
"index": 6653,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Traveling Saleswoman?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6654,
"need_tools_kwargs": true,
"question": "Quadrilateral $CDEF$ is a parallelogram. Its area is $36$ square units. Points $G$ and $H$ are the midpoints of sides $CD$ and $EF,$ respectively. What is the area of triangle $CDJ?$ [asy]\ndraw((0,0)--(30,0)--(12,8)--(22,8)--(0,0));\ndraw((10,0)--(12,8));\ndraw((20,0)--(22,8));\nlabel(\"$I$\",(0,0),W);\nlabel(\"$C$\",(10,0),S);\nlabel(\"$F$\",(20,0),S);\nlabel(\"$J$\",(30,0),E);\nlabel(\"$D$\",(12,8),N);\nlabel(\"$E$\",(22,8),N);\nlabel(\"$G$\",(11,5),W);\nlabel(\"$H$\",(21,5),E);\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": "Tracy Middendorf",
"style": "rule"
} | {
"index": 6655,
"need_tools_kwargs": true,
"question": "What is the first name and surname of the actress who was the guest star that played the bride named Risa in Ally McBeal Season 3, Episode 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": "21",
"style": "rule"
} | {
"index": 6656,
"need_tools_kwargs": true,
"question": "Consider a month with 31 days and a number forming by multiplying the two smallest primes, i.e., prime factorization is $2 * 3$. Evaluate the number of days which are relatively prime to the month's 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... | math | {
"ground_truth": "2142",
"style": "rule"
} | {
"index": 6657,
"need_tools_kwargs": true,
"question": "A school library purchased 17 identical books. How much do they cost if they paid more than 11 rubles 30 kopecks, but less than 11 rubles 40 kopecks for 9 of these books?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "539",
"style": "rule"
} | {
"index": 6658,
"need_tools_kwargs": true,
"question": "In the diagram below, $ABCD$ is a square. Point $E$ is the midpoint of $\\overline{AD}$ . Points $F$ and $G$ lie on $\\overline{CE}$ , and $H$ and $J$ lie on $\\overline{AB}$ and $\\overline{BC}$ , respectively, so that $FGHJ$ is a square. Points $K$ and $L$ lie on $\\overline{GH}$ , and $M$ and $N$ lie on $\\overline{AD}$ and $\\overline{AB}$ , respectively, so that $KLMN$ is a square. The area of $KLMN$ is 99. Find the area of $FGHJ$ . [asy] pair A,B,C,D,E,F,G,H,J,K,L,M,N; B=(0,0); real m=7*sqrt(55)/5; J=(m,0); C=(7*m/2,0); A=(0,7*m/2); D=(7*m/2,7*m/2); E=(A+D)/2; H=(0,2m); N=(0,2m+3*sqrt(55)/2); G=foot(H,E,C); F=foot(J,E,C); draw(A--B--C--D--cycle); draw(C--E); draw(G--H--J--F); pair X=foot(N,E,C); M=extension(N,X,A,D); K=foot(N,H,G); L=foot(M,H,G); draw(K--N--M--L); label(\"$A$\",A,NW); label(\"$B$\",B,SW); label(\"$C$\",C,SE); label(\"$D$\",D,NE); label(\"$E$\",E,dir(90)); label(\"$F$\",F,NE); label(\"$G$\",G,NE); label(\"$H$\",H,W); label(\"$J$\",J,S); label(\"$K$\",K,SE); label(\"$L$\",L,SE); label(\"$M$\",M,dir(90)); label(\"$N$\",N,dir(180)); [/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"index": 6659,
"need_tools_kwargs": true,
"question": "In the tetrahedron \\( A B C D \\), the lengths of the edges are given as follows: \\( A B = A C = A D = B C = 1 \\), \\( B D = \\sqrt{3} \\), and \\( C D = \\sqrt{2} \\). Determine the angle between the edges \\( A D \\) and \\( B C \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 6660,
"need_tools_kwargs": true,
"question": "Suppose \\(\\overline{a_{1} a_{2} \\ldots a_{2009}}\\) is a 2009-digit integer such that for each \\(i=1,2, \\ldots, 2007\\), the 2-digit integer \\(\\overline{a_{i} a_{i+1}}\\) contains 3 distinct prime factors. Find \\(a_{2008}\\). \n\n(Note: \\(xyz \\ldots\\) denotes an integer whose digits are \\(x, y, z, \\ldots\\))",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Lithuanian Security Police (LSP)",
"style": "rule"
} | {
"index": 6661,
"need_tools_kwargs": true,
"question": "Algimantas Mykolas Dailidė, is a former official of which Nazi-sponsored local police force that operated in Nazi-occupied Lithuania from 1941 to 1944?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "October 1, 1929",
"style": "rule"
} | {
"index": 6662,
"need_tools_kwargs": true,
"question": "When was the mother of Buddy Alan 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": "Burnage, Manchester",
"style": "rule"
} | {
"index": 6663,
"need_tools_kwargs": true,
"question": "\"The Hindu Times\" is a song that was written by musician who was raised 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": "0.5a^3",
"style": "rule"
} | {
"index": 6664,
"need_tools_kwargs": true,
"question": "In a cube, the edges originating from a single vertex form a corner tetrahedron. What volume of the cube is occupied by the points that lie within the common regions of at least two corner tetrahedra?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "100 million",
"style": "rule"
} | {
"index": 6665,
"need_tools_kwargs": true,
"question": "Born 2 B.R.E.E.D. was co-written by the late singer-songwriter who has sold over how many records worldwide?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6666,
"need_tools_kwargs": true,
"question": "Let $n$ be a positive integer. Compute the number of words $w$ that satisfy the following three properties.\n\n1. $w$ consists of $n$ letters from the alphabet $\\{a,b,c,d\\}.$\n\n2. $w$ contains an even number of $a$'s\n\n3. $w$ contains an even number of $b$'s.\n\nFor example, for $n=2$ there are $6$ such words: $aa, bb, cc, dd, cd, dc.$\n\nThe original answer can be expressed in the form of k*4^{n-1} + m*2^{n-1}. Please find the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Pantera",
"style": "rule"
} | {
"index": 6667,
"need_tools_kwargs": true,
"question": "Seventh Void's debut album was released on the record label of a former member, and co-founder, of what heavy metal band?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$8.78",
"style": "rule"
} | {
"index": 6668,
"need_tools_kwargs": true,
"question": "John and his best friend Steve went to a bakery and bought an assortment of baked goods. They bought 3.5 chocolate cupcakes for $1.50 each, 2.25 almond pastries for $2.75 each, and 5 raspberry muffins for $2.10 each. They also had a 20% off coupon they applied to the total cost. After using the coupon, they split the remaining cost evenly. Calculate the cost paid by each person.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\{2,4\\}",
"style": "rule"
} | {
"index": 6669,
"need_tools_kwargs": true,
"question": "Let the universal set $U = \\{x \\in \\mathbb{N}^* | x < 6\\}$, and the sets $A = \\{1,3\\}$, $B = \\{3,5\\}$. Then, the complement of $A \\cup B$ in $U$ 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": "July 15, 1934",
"style": "rule"
} | {
"index": 6670,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film The Magic Cloak Of Oz?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "842",
"style": "rule"
} | {
"index": 6671,
"need_tools_kwargs": true,
"question": "According to the 2010 census, what was the population of the town loacted approcimately seven miles south of Cave Rock Tunnel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Songs For The New Depression",
"style": "rule"
} | {
"index": 6672,
"need_tools_kwargs": true,
"question": "Which album was released earlier, Here We Go Then, You And I or Songs For The New Depression?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6673,
"need_tools_kwargs": true,
"question": "A plane contains points \\(A\\) and \\(B\\) with \\(AB = 1\\). Let \\(S\\) be the union of all disks of radius \\(1\\) in the plane that cover \\(\\overline{AB}\\). The original answer is in the form \\(k\\pi - \\frac{\\sqrt{m}}{n}\\). Please find the value of \\(k + 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": "The Flight In The Night",
"style": "rule"
} | {
"index": 6674,
"need_tools_kwargs": true,
"question": "Which film came out earlier, The Flight In The Night or Deep In The Wood?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6675,
"need_tools_kwargs": true,
"question": "Do both directors of films Omana and The Leather Saint 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, 0)",
"style": "rule"
} | {
"index": 6676,
"need_tools_kwargs": true,
"question": "Let $p$ and $q$ be real numbers so that the roots of the quadratic equation\n\\[ z^2 + (6 + pi)z + (13 + qi) = 0 \\]\nare complex conjugates. Determine the values of $p$ and $q$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "111",
"style": "rule"
} | {
"index": 6677,
"need_tools_kwargs": true,
"question": "The deli has four kinds of bread, six kinds of meat, and five kinds of cheese. A sandwich consists of one type of bread, one type of meat, and one type of cheese. Ham, chicken, cheddar cheese, and white bread are each offered at the deli. If Al never orders a sandwich with a ham/cheddar cheese combination nor a sandwich with a white bread/chicken combination, how many different sandwiches could Al order?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(x + a)^n",
"style": "rule"
} | {
"index": 6678,
"need_tools_kwargs": true,
"question": "Given a positive integer \\( n \\geq 2 \\), consider the polynomial \\( f(x)=x^{n}+b_{n-1} x^{n-1}+\\ldots+b_{0} \\), where \\( b_{i} \\in \\mathbb{R} \\) for \\( i=0,1,2, \\ldots, n-1 \\). If there exists an infinite geometric progression of positive integers \\( \\{a_{k}\\} \\) such that: for any positive integer \\( k \\), there exists a positive integer \\( x_{k} \\) making \\( a_{k}=f(x_{k}) \\), find all possible \\( f(x) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 6679,
"need_tools_kwargs": true,
"question": "There are $k$ stones on the table. Alper, Betul, and Ceyhun take turns to remove one or two stones from the table. The player who cannot make a move loses the game, and the game ends. The game is played once for each $k=5,6,7,8,9$. If Alper is always the first player, for how many of the games can Alper guarantee that he does not lose the game?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6680,
"need_tools_kwargs": true,
"question": "Let $\\alpha$ and $\\beta$ be a pair of conjugate complex numbers. If $|\\alpha - \\beta| = 2$ and it is a real number, then $|\\alpha| = \\quad$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 5, 1971",
"style": "rule"
} | {
"index": 6681,
"need_tools_kwargs": true,
"question": "when was the American actor who starred in Four Brothers 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": "20",
"style": "rule"
} | {
"index": 6682,
"need_tools_kwargs": true,
"question": "How many triangles are in the figure below, where the structure consists of a square grid of dots with 3 rows and 3 columns, and triangles are formed by connecting these dots?\n[asy]\ndefaultpen(linewidth(0.7));\nfor(int i=0; i<3; ++i) {\n for(int j=0; j<3; ++j) {\n dot((i,j));\n if(i < 2) {\n draw((i,j)--(i+1,j)); // horizontal lines\n }\n if(j < 2) {\n draw((i,j)--(i,j+1)); // vertical lines\n }\n if(i < 2 && j < 2) {\n draw((i,j)--(i+1,j+1)); // diagonal lines\n draw((i+1,j)--(i,j+1)); // cross diagonal\n }\n }\n}\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 6683,
"need_tools_kwargs": true,
"question": "A quadrilateral \\(ABCD\\) is inscribed in a circle. Given that \\( |DA| = |BC| = 2 \\) and \\( |AB| = 4 \\), let \\(E\\) be the intersection point of lines \\(BC\\) and \\(DA\\). If \\(\\angle AEB = 60^\\circ\\) and \\( |CD| < |AB| \\), calculate the radius of the circle in which quadrilateral \\(ABCD\\) is inscribed.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 6684,
"need_tools_kwargs": true,
"question": "设非负实数 $x, y$ 满足 $2 x+y=1$, 求 $x+\\sqrt{x^{2}+y^{2}}$ 的最小值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "243",
"style": "rule"
} | {
"index": 6685,
"need_tools_kwargs": true,
"question": "Evaluate the product $\\frac{1}{3} \\cdot \\frac{9}{1} \\cdot \\frac{1}{27} \\cdot \\frac{81}{1} \\dotsm \\frac{1}{6561} \\cdot \\frac{19683}{1}$.",
"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": "labor union",
"style": "rule"
} | {
"index": 6686,
"need_tools_kwargs": true,
"question": "What kind of organization is AFSCME Local 77 in the university where Newman Ivey White attended?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Conducător",
"style": "rule"
} | {
"index": 6687,
"need_tools_kwargs": true,
"question": "What was the nickname of this Romanian and authoritarian politician under whose regime the chief rabbi of Romania Alexandru Șafran succeeded in saving Jews during the Holocaust?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Raymond Thomas \"Ray\" Cooper",
"style": "rule"
} | {
"index": 6688,
"need_tools_kwargs": true,
"question": "Made in England is the twenty-fifth studio album by English singer-songwriter Elton John, released in 1995, it was the last album to feature which regular English virtuoso percussionist, born on 19 September 1947?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6689,
"need_tools_kwargs": true,
"question": "Consider the following lines in the plane: $2y - 3x = 4$, $x + 4y = 1$, and $6x - 4y = 8$. Determine how many points lie at the intersection of at least two of these lines.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "150",
"style": "rule"
} | {
"index": 6690,
"need_tools_kwargs": true,
"question": "A rectangle $ABCD$ is divided into four smaller non-overlapping rectangles by two perpendicular line segments, whose endpoints lie on the sides of $ABCD$. Given that the smallest three rectangles have areas of $48$, $18$, and $12$, determine the area of rectangle $ABCD$.",
"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",
"style": "rule"
} | {
"index": 6691,
"need_tools_kwargs": true,
"question": "Given the ellipse \\( C: \\frac{x^{2}}{24}+\\frac{y^{2}}{16}=1 \\) and the line \\( l: \\frac{x}{12}+\\frac{y}{8}=1 \\), let \\( P \\) be a point on \\( l \\). The ray \\( OP \\) intersects the ellipse \\( C \\) at \\( R \\). Also, let \\( Q \\) be a point on \\( OP \\) such that \\(|OQ| \\cdot |OP| = |OR|^{2}\\). As \\( P \\) moves along \\( l \\), find the trajectory of point \\( Q \\) and describe the type of curve it represents.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6692,
"need_tools_kwargs": true,
"question": "When the positive integer x is divided by 9, the remainder is a certain number. The remainder when 6x is divided by 9 is 3. What is the remainder when x is divided by 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": "6 March 1968",
"style": "rule"
} | {
"index": 6693,
"need_tools_kwargs": true,
"question": "When did the director of film Aloha, Le Chant Des Îles die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "British",
"style": "rule"
} | {
"index": 6694,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song A Leaf?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 6695,
"need_tools_kwargs": true,
"question": "Each person marked the table with an X on the day(s) he/she would not be able to attend a meeting. On which day can the most people attend a meeting? The numbers corresponding to Monday to Sunday are 1-7. Please answer with 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": "4",
"style": "rule"
} | {
"index": 6696,
"need_tools_kwargs": true,
"question": "In a movie theater, five friends took seats from 1 to 5 (the leftmost seat is number 1). During the movie, Anya went to get popcorn. When she returned, she found that Varya had moved one seat to the right, Galya had moved two seats to the left, and Diana and Ella had swapped seats, leaving the end seat for Anya. In which seat was Anya sitting before she got up?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Poudre School District",
"style": "rule"
} | {
"index": 6697,
"need_tools_kwargs": true,
"question": "What school district is the fourth most populous city in Colorado located 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": "60",
"style": "rule"
} | {
"index": 6698,
"need_tools_kwargs": true,
"question": "Consider an acute triangle \\( \\triangle ABC \\) with circumcenter \\( O \\). The line \\( AO \\) intersects \\( BC \\) at point \\( D \\). Let \\( E \\) and \\( F \\) be the circumcenters of triangles \\( \\triangle ABD \\) and \\( \\triangle ACD \\), respectively. Given that \\( AB > AC \\) and \\( EF = BC \\), determine the difference between the angles \\( \\angle C \\) and \\( \\angle 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": "-1",
"style": "rule"
} | {
"index": 6699,
"need_tools_kwargs": true,
"question": "若 $a, b, c, d$ 是方程 $x^{4}+2 x^{3}+3 x^{2}+4 x+5= 0$ 的全部复数根, 求 $\\frac{a-1}{a+2}+\\frac{b-1}{b+2}+\\frac{c-1}{c+2}+\\frac{d-1}{d+2}$ 的值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"split": "train"
} | null |
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