data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Music Building",
"style": "rule"
} | {
"index": 7600,
"need_tools_kwargs": true,
"question": "The show that originated in 1963 was originaly produced 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": "12",
"style": "rule"
} | {
"index": 7601,
"need_tools_kwargs": true,
"question": "In Bethany's class of 30 students, it is known that twice as many students played basketball as played football, and twice as many played football as played neither sport. Determine the possible number of students who played both basketball and football.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7602,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, lines $CE$ and $AD$ are drawn so that $\\dfrac{CD}{DB}=\\dfrac{3}{1}$ and $\\dfrac{AE}{EB}=\\dfrac{3}{2}$. Let $r=\\dfrac{CP}{PE}$ where $P$ is the intersection point of $CE$ and $AD$. Find the value of $r$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7603,
"need_tools_kwargs": true,
"question": "A region is bounded by semicircular arcs constructed using the long and short sides of a rectangle. The rectangle has a length of $4/\\pi$ and a width of $1/\\pi$. Calculate the perimeter of this new shape.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7604,
"need_tools_kwargs": true,
"question": "在平面直角坐标系 $x O y$ 中, 已知 $A(-1,0), B(1,0)$ 。若对于 $y$ 轴上的任意 $n$ 个两两互异的点 $P_{k}(k=1,2, \\cdots, n)$, 总存在两个不同的点 $P_{i}, P_{j}$, 使得 $\\left|\\sin \\angle A P_{i} B-\\sin \\angle A P_{j} B\\right| \\leqslant \\frac{1}{3}$, 则 $n$ 的最小值为多少？",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "165",
"style": "rule"
} | {
"index": 7605,
"need_tools_kwargs": true,
"question": "Let $g(x, y)$ be the function for the set of ordered pairs of positive coprime integers such that:\n\\begin{align*} \ng(x, x) &= x, \\\\\ng(x, y) &= g(y, x), \\quad \\text{and} \\\\ \n(x + y) g(x, y) &= y g(x, x + y).\n\\end{align*}\nCalculate $g(15, 33)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Nude Bomb",
"style": "rule"
} | {
"index": 7606,
"need_tools_kwargs": true,
"question": "Which film has the director died earlier, The Nude Bomb or Forest Of Love?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-\\infty,-1)\\cup(1,\\infty)",
"style": "rule"
} | {
"index": 7607,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=\\begin{cases} 2^{-x}-1, & x\\leqslant 0 \\\\ \\sqrt{x} , & x > 0 \\end{cases}$, find the range of $x_{0}$ such that $f(x_{0}) > 1$.",
"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": "Los Angeles",
"style": "rule"
} | {
"index": 7608,
"need_tools_kwargs": true,
"question": "Where did the director of film Night In New Orleans 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": "Canada's Walk of Fame",
"style": "rule"
} | {
"index": 7609,
"need_tools_kwargs": true,
"question": "Which award the performer of song Alegría (Song) won?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "13.8564064605510",
"style": "rule"
} | {
"index": 7610,
"need_tools_kwargs": true,
"question": "Given a cyclic quadrilateral $ABCD$ with side lengths $AB=2$, $BC=6$, $CD=4$, and $DA=4$, find the area of quadrilateral $ABCD$.",
"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... | qa | {
"ground_truth": "his fight promoter",
"style": "rule"
} | {
"index": 7611,
"need_tools_kwargs": true,
"question": "Who gave Charles Salvador his nickname?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 7612,
"need_tools_kwargs": true,
"question": "Which country the performer of song Scandinavian Skies 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": "0.866025403784439",
"style": "rule"
} | {
"index": 7613,
"need_tools_kwargs": true,
"question": "In a unit cube \\( ABCD-A_{1}B_{1}C_{1}D_{1} \\), points \\( E, F, G \\) are the midpoints of edges \\( AA_{1}, C_{1}D_{1}, D_{1}A_{1} \\) respectively. Find the distance from point \\( B_{1} \\) to the plane containing points \\( E, F, G \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dillard's",
"style": "rule"
} | {
"index": 7614,
"need_tools_kwargs": true,
"question": "What is the current name of the Nashville-based company which had a location in Goodlettsville, Tennessee? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7615,
"need_tools_kwargs": true,
"question": "None of the faces of a tetrahedron is an isosceles triangle. How many different lengths of edges does the tetrahedron have at least?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7616,
"need_tools_kwargs": true,
"question": "Dakota gets hit by a bus and has to spend some days in the hospital. The hospital charges her $900/day for her bed, $250/hour for two specialists to look at her 15 minutes each, and $1800 for the ambulance ride. Dakota's medical bill is $4625. How many days did Dakota spend in the hospital?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "18 April 1964",
"style": "rule"
} | {
"index": 7617,
"need_tools_kwargs": true,
"question": "When was the Scottish historian born who coined Chimerica?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "66^\\circ",
"style": "rule"
} | {
"index": 7618,
"need_tools_kwargs": true,
"question": "Find the smallest positive angle $\\theta,$ in degrees, for which\n\\[\\cos \\theta = \\sin 60^\\circ + \\cos 42^\\circ - \\sin 12^\\circ - \\cos 6^\\circ.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "approximately 4000",
"style": "rule"
} | {
"index": 7619,
"need_tools_kwargs": true,
"question": "How many kilometers of coastline does the land that the Malacoctenus hubbsi is native to have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-2",
"style": "rule"
} | {
"index": 7620,
"need_tools_kwargs": true,
"question": "If the graph of the inverse proportion function $y=\\left(m+1\\right){x}^{3-{m}^{2}}$ increases with the increase of $x$ in each quadrant, then the value of $m$ 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": "-154",
"style": "rule"
} | {
"index": 7621,
"need_tools_kwargs": true,
"question": "If 45 - [ 28 - { 37 - ( 15 - * ) } ] = 59, then * is equal to what 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": "\\{x|x > 1\\}",
"style": "rule"
} | {
"index": 7622,
"need_tools_kwargs": true,
"question": "The solution to the inequality $3^{x}+\\log _{2}x \\gt 10$ 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": "Pawnee County",
"style": "rule"
} | {
"index": 7623,
"need_tools_kwargs": true,
"question": "An EF4 tornado touched down near which county in Kansas on May 18th?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "102.0",
"style": "rule"
} | {
"index": 7624,
"need_tools_kwargs": true,
"question": "Isabelle’s parents bought a new television for $480. The seller gives them a 5% discount. They pay a first installment of $150 and will pay the rest in 3 monthly installments. What is the amount of a monthly payment?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7625,
"need_tools_kwargs": true,
"question": "Two circles touch each other internally at point K. Chord \\( AB \\) of the larger circle touches the smaller circle at point L, with \\( A L = 10 \\). Find \\( B L \\) given that \\( A K : B K = 2 : 5 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nikos Karvelas",
"style": "rule"
} | {
"index": 7626,
"need_tools_kwargs": true,
"question": "Who is the spouse of the performer of song Mono I Agapi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1/6",
"style": "rule"
} | {
"index": 7627,
"need_tools_kwargs": true,
"question": "Let $S$ be the locus of all points $(x,y)$ in the first quadrant such that $\\dfrac{x}{t}+\\dfrac{y}{1-t}=1$ for some $t$ with $0<t<1$ . Find the area 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... | qa | {
"ground_truth": "Joanne Harris",
"style": "rule"
} | {
"index": 7628,
"need_tools_kwargs": true,
"question": "Who is the writer of the novel based on which Lasse Hallström directed a movie in which Lena Maria Jonna Olin appeared?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Tall Man",
"style": "rule"
} | {
"index": 7629,
"need_tools_kwargs": true,
"question": "Vic is a 2006 American short film staring an actor who co-starred with William H. Bonney in what television series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6.75\\pi",
"style": "rule"
} | {
"index": 7630,
"need_tools_kwargs": true,
"question": "Spot's doghouse has a regular hexagonal base, each side measuring 1.5 yards. He is tethered to a vertex with a three-yard rope. What is the area, in square yards, of the region outside the doghouse that Spot can reach? Express your answer in terms of $\\pi$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "over the whole year",
"style": "rule"
} | {
"index": 7631,
"need_tools_kwargs": true,
"question": "How long of a span of time did recordings take place for the song produced by Illmind, Cardiak, and CritaCal ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5233 ft",
"style": "rule"
} | {
"index": 7632,
"need_tools_kwargs": true,
"question": "Traveler's Rest is a stopping point of the trail that has what elevation?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "sole responsibility for artistic leadership of City Ballet",
"style": "rule"
} | {
"index": 7633,
"need_tools_kwargs": true,
"question": "Ocean's Kingdom is a ballet choreographed by a Danish Danseur who since 1990 has bore 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": "9.1",
"style": "rule"
} | {
"index": 7634,
"need_tools_kwargs": true,
"question": "Quadrilateral $ABCD$ is a square. Circle with center $D$ has arc $AEC$. A circle with center $B$ has arc $AFC$. If $AB = 4$ cm, what is the total number of square centimeters in the football-shaped area of regions II and III combined? Express your answer as a decimal to the nearest tenth.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nassau County",
"style": "rule"
} | {
"index": 7635,
"need_tools_kwargs": true,
"question": "In which county is this former estate of the heir to a U.S. Steel fortune located where George A. Crawley constructed a house?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 7636,
"need_tools_kwargs": true,
"question": "在 \\(\\triangle ABC\\) 中，\\(AB=1\\), \\(AC=2\\), \\(B-C=\\frac{2\\pi}{3}\\)，则 \\(\\triangle ABC\\) 的面积为 \\(\\frac{k\\sqrt{m}}{n}\\)。请计算k+m+n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": "magazine",
"style": "rule"
} | {
"index": 7637,
"need_tools_kwargs": true,
"question": "Writer's Digest and InStyle are both 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": "20",
"style": "rule"
} | {
"index": 7638,
"need_tools_kwargs": true,
"question": "The picture below shows how Juan wants to divide a square field into three regions, all sharing a well at vertex $B$. If the side length of the field is $60$ meters, and each of the three regions has the same area, how far must the points $M$ and $N$ be from $D$? Note: The area of each region includes the area occupied by the well.\n\n```latex\n\\begin{asy}\npair A=(0,0), B=(60,0), C=(60,-60), D=(0,-60), M=(0,-40), N=(20,-60);\npathpen=black;\nD(MP(\"A\",A,W)--MP(\"B\",B,NE)--MP(\"C\",C,SE)--MP(\"D\",D,SW)--cycle);\nD(B--MP(\"M\",M,W));\nD(B--MP(\"N\",N,S));\nD(CR(B,3));\n\\end{asy}\n```\n\nUnrelated information has been removed for clarity.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "215,\\!134,\\!600",
"style": "rule"
} | {
"index": 7639,
"need_tools_kwargs": true,
"question": "In a regional frisbee association, there are 5 teams, each consisting of 8 members. The teams take turns hosting an annual event. At this event, each team, except the host, selects two members to be on the organizing committee, while the host team selects four members. How many possible committee members are there for this 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... | math | {
"ground_truth": "\\frac{1}{4}",
"style": "rule"
} | {
"index": 7640,
"need_tools_kwargs": true,
"question": "Given the circle defined by the equation \\(x^{2}+y^{2}=1\\) and the point \\(A(1,0)\\) on this circle, consider a triangle \\( \\triangle ABC \\) inscribed in the circle such that the angle \\( \\angle BAC = 60^{\\circ} \\). Determine the equation of the locus of the midpoint \\(M\\) of segment \\(BC\\) as points \\(B\\) and \\(C\\) move along the circumference of the circle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "16\\%",
"style": "rule"
} | {
"index": 7641,
"need_tools_kwargs": true,
"question": "An 80-liter solution of cool-drink is made from 10% jasmine water. If 8 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine now?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "29",
"style": "rule"
} | {
"index": 7642,
"need_tools_kwargs": true,
"question": "Let's examine the set \\( T = \\{1, 2, 3, \\ldots, 99, 100\\} \\) which contains the first 100 positive integers. After removing all multiples of 2, 3, and 5 from the set \\( T \\), how many integers remain?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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=2x-e",
"style": "rule"
} | {
"index": 7643,
"need_tools_kwargs": true,
"question": "Find the equation of the tangent line to the curve $C$: $y=x\\ln x$ at the point $M(e,e)$.",
"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": "31",
"style": "rule"
} | {
"index": 7644,
"need_tools_kwargs": true,
"question": "In a class of 50 students, a systematic sampling method is to be used to select 10 students. These 50 students are randomly numbered from 1 to 50 and grouped accordingly. If the student with the number 46 is included in the sample, then the number drawn from the seventh group 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": "299",
"style": "rule"
} | {
"index": 7645,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a_n\\}$, if for any $n$, $a_n + a_{n+1} + a_{n+2}$ is a constant value ($n \\in \\mathbb{N}^*$), and $a_7 = 2$, $a_9 = 3$, $a_{98} = 4$, then the sum of the first 100 terms of this sequence, $S_{100}$, equals ____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "John McCredy McAlery",
"style": "rule"
} | {
"index": 7646,
"need_tools_kwargs": true,
"question": "The Danske Bank Premiership was founded by whom? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "144",
"style": "rule"
} | {
"index": 7647,
"need_tools_kwargs": true,
"question": "Let \\\\(a_1\\\\), \\\\(a_2\\\\), ..., \\\\(a_n\\\\) be a permutation of the numbers \\\\(1\\\\), \\\\(2\\\\), ..., \\\\(n\\\\). Define the \"order number\" of \\\\(a_i\\\\) (for \\\\(i=1,2,…,n\\\\)) as the count of numbers to the left of \\\\(a_i\\\\) that are smaller than \\\\(a_i\\\\). For example, in the permutation \\\\(6\\\\), \\\\(4\\\\), \\\\(5\\\\), \\\\(3\\\\), \\\\(2\\\\), \\\\(1\\\\), the order number of \\\\(5\\\\) is \\\\(1\\\\), and the order number of \\\\(3\\\\) is \\\\(0\\\\). In all permutations formed by the numbers \\\\(1\\\\), \\\\(2\\\\), \\\\(3\\\\), \\\\(4\\\\), \\\\(5\\\\), \\\\(6\\\\), \\\\(7\\\\), \\\\(8\\\\), find the number of distinct permutations where the order number of \\\\(8\\\\) is \\\\(2\\\\), the order number of \\\\(7\\\\) is \\\\(3\\\\), and the order number of \\\\(5\\\\) is \\\\(3\\\\). (Express the result as a 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": "1936",
"style": "rule"
} | {
"index": 7648,
"need_tools_kwargs": true,
"question": "When was the ship Ralph McMaster Rich was awarded the Navy Cross for his leadership on first launched?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Granby",
"style": "rule"
} | {
"index": 7649,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Angel And The Woman?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7650,
"need_tools_kwargs": true,
"question": "若正实数 a,b 满足 a^{\\lg b}=2,a^{\\lg a}\\cdot b^{\\lg b}=5，则 (ab)^{\\lg ab} 的值为__________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "80",
"style": "rule"
} | {
"index": 7651,
"need_tools_kwargs": true,
"question": "Four rectangular strips each measuring $4$ by $16$ inches are laid out with two vertical strips crossing two horizontal strips forming a single polygon which looks like a tic-tack-toe pattern. What is the perimeter of this polygon?\n\n[asy]\nsize(100);\ndraw((1,0)--(2,0)--(2,1)--(3,1)--(3,0)--(4,0)--(4,1)--(5,1)--(5,2)--(4,2)--(4,3)--(5,3)--(5,4)--(4,4)--(4,5)--(3,5)--(3,4)--(2,4)--(2,5)--(1,5)--(1,4)--(0,4)--(0,3)--(1,3)--(1,2)--(0,2)--(0,1)--(1,1)--(1,0));\ndraw((2,2)--(2,3)--(3,3)--(3,2)--cycle);\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": "American",
"style": "rule"
} | {
"index": 7652,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Trouble In Paradise (Loretta Lynn Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7653,
"need_tools_kwargs": true,
"question": "设 $a_{n}$ 是与 $\\sqrt{\\frac{n}{2}}$ 的差最小的整数， $b_{n}$ 是与 $\\sqrt{2 n}$ 的差最小的整数，记 $\\left\\{\\frac{1}{a_{n}}\\right\\}$ 的前 $n$ 项和为 $S_{n},\\left\\{\\frac{1}{b_{n}}\\right\\}$的前 $n$ 项和为 $T_{n}$ ，则 $2 T_{100}-S_{100}$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{8}{3}",
"style": "rule"
} | {
"index": 7654,
"need_tools_kwargs": true,
"question": "In an isosceles triangle \\(ABC\\) with base \\(AC\\), point \\(D\\) divides side \\(BC\\) in the ratio \\(3:1\\) starting from vertex \\(B\\), and point \\(E\\) is the midpoint of segment \\(AD\\). It is known that \\(BE = \\sqrt{7}\\) and \\(CE = 3\\). Find the radius of the circumcircle of triangle \\(ABC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15324",
"style": "rule"
} | {
"index": 7655,
"need_tools_kwargs": true,
"question": "In the expression below, each letter has replaced a certain digit in the base-6 numbering system:\n\n$$\nF A R E S = (F E E)^{2}\n$$\n\n(identical letters represent identical digits). Restore the original digits.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 7656,
"need_tools_kwargs": true,
"question": "Two bullet trains of equal lengths take 10 seconds and some time respectively to cross a telegraph post. The length of each bullet train is 120 meters. They cross each other traveling in opposite directions in 13.333333333333334 seconds. How long does it take for the second bullet train to cross the telegraph post?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Bride of Frankenstein",
"style": "rule"
} | {
"index": 7657,
"need_tools_kwargs": true,
"question": "What 1935 American film was scored by a composer of Jewish descent?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Bottom Of The Bottle",
"style": "rule"
} | {
"index": 7658,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, The Bottom Of The Bottle or A Cruel Romance? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Margot Rose",
"style": "rule"
} | {
"index": 7659,
"need_tools_kwargs": true,
"question": "Who has more scope of profession, Jeanne Daprano or Margot Rose?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tennessee",
"style": "rule"
} | {
"index": 7660,
"need_tools_kwargs": true,
"question": "What current state is the location of unrecognized and autonomous territory in the United States created in 1784 that was led by David Campbell?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7661,
"need_tools_kwargs": true,
"question": "By the first of September, Vlad bought several ballpoint and gel pens. He noticed that if all the purchased pens were gel pens, he would have paid 4 times more than he actually did. Conversely, if all the pens were ballpoint pens, the purchase would have cost him half of the actual amount. How many times more expensive is a gel pen compared to a ballpoint pen?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Marlborough College",
"style": "rule"
} | {
"index": 7662,
"need_tools_kwargs": true,
"question": "Where did the director of film A Matter Of Choice study?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.30",
"style": "rule"
} | {
"index": 7663,
"need_tools_kwargs": true,
"question": "It is known that Xiao Li has a probability of hitting the bullseye of $40\\%$ each time he shoots. Now, the method of random simulation is used to estimate the probability that Xiao Li hits the bullseye exactly twice in three shots. First, a calculator is used to generate random integers between $0$ and $9$, with $0$, $1$, $2$, $3$ representing hitting the bullseye, and $4$, $5$, $6$, $7$, $8$, $9$ representing missing the bullseye. Then, every three random numbers are grouped together to represent the results of three shots. After random simulation, the following $20$ groups of random numbers were generated:\n\n$321$ $421$ $191$ $925$ $271$ $932$ $800$ $478$ $589$ $663$\n\n$531$ $297$ $396$ $021$ $546$ $388$ $230$ $113$ $507$ $965$\n\nBased on this, estimate the probability that Xiao Li hits the bullseye exactly twice in three shots.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{2(10^{n+1} - 10 - 9n)}{27}",
"style": "rule"
} | {
"index": 7664,
"need_tools_kwargs": true,
"question": "Let \\( s_m \\) be the number \\( 66 \\ldots 6 \\) with \\( m \\) sixes. Find \\( s_1 + s_2 + \\ldots + s_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": "February 23, 1889",
"style": "rule"
} | {
"index": 7665,
"need_tools_kwargs": true,
"question": "When was the director of film The Call Of The Canyon 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": "9",
"style": "rule"
} | {
"index": 7666,
"need_tools_kwargs": true,
"question": "Consider the subset of complex numbers defined as \\(\\left\\{ x + y i \\mid 1 \\leqslant x < y \\leqslant 4, x, y \\in \\mathbf{N}_{+} \\right\\}\\). Identify all the distinct differences that can be obtained by randomly selecting two different elements from this set and performing subtraction. How many different differences can you find?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Henry Wilfrid Brambell",
"style": "rule"
} | {
"index": 7667,
"need_tools_kwargs": true,
"question": "What is the name of this Irish film and television actor from the film \"A Hard Day's Night\", who also acted in \"Never Say 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": 7668,
"need_tools_kwargs": true,
"question": "Let $f(x)$ be a real function with smallest period $5$, and $g(x)$ be defined as $f(2^x)$. Given that $g(x)$ has $25$ zeros in the range $[0,5)$, find the number of zeros that $g(x)$ has in the range $[1,4)$.",
"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{2}{e^{2}-1}\\leqslant m < 1",
"style": "rule"
} | {
"index": 7669,
"need_tools_kwargs": true,
"question": "Let the function $f(x)=\\ln(1+x)-mx$, where $m > 0$.\n\n$(1)$ If $m=1$, find the interval where the function $f(x)$ is monotonically decreasing.\n\n$(2)$ Find the extreme values of the function $f(x)$.\n\n$(3)$ If the function $f(x)$ has exactly two zeros in the interval $[0,e^{2}-1]$, find the range of $m$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "[-4, -2, 0, 2]",
"style": "rule"
} | {
"index": 7670,
"need_tools_kwargs": true,
"question": "Find all integers \\( n \\) for which the fraction \\(\\frac{n-2}{n+1}\\) takes on integer values.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Ireland",
"style": "rule"
} | {
"index": 7671,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Suing The Pope?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7672,
"need_tools_kwargs": true,
"question": "Which country the director of film Kiss The Bride Goodbye 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": "Philip Richard Morris",
"style": "rule"
} | {
"index": 7673,
"need_tools_kwargs": true,
"question": "Who was born earlier, Philip Richard Morris or Roberto Morassut?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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^{1.6}",
"style": "rule"
} | {
"index": 7674,
"need_tools_kwargs": true,
"question": "Find $x$ such that $\\log_x 256 = \\log_2 32$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7675,
"need_tools_kwargs": true,
"question": "已知在 $\\triangle A B C$ 中, $D$ 是边 $B C$ 的中点, 且 $\\angle D A C=15^{\\circ}$, 求 $\\angle A B C$ 的最大值。原始答案为 $\\frac{m\\pi}{n}$ 的形式，请给出 $m + n$ 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": "5",
"style": "rule"
} | {
"index": 7676,
"need_tools_kwargs": true,
"question": "Solve the equation:\n\n\\[7.74 \\sqrt{\\log _{5} x}+\\sqrt[3]{\\log _{5} x}=2.\\]\n\nSolve the system of equations (7.75-7.80):\n\nFor 7.75:\n\\[ \\begin{cases} 2-\\log _{2} y=2 \\log _{2}(x+y), \\\\ \\log _{2}(x+y)+\\log _{2}\\left(x^{2}-x y+y^{2}\\right)=1. \\end{cases} \\]\n\nFor 7.76:\n\\[ \\begin{cases} y^{5 x^{2}-51 x+10}=1, \\\\ x y=15. \\end{cases} \\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7677,
"need_tools_kwargs": true,
"question": "Are Zarvand and Kureh, Gilan both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nearly Married",
"style": "rule"
} | {
"index": 7678,
"need_tools_kwargs": true,
"question": "Which film has the director who died earlier, Nearly Married or Amar Bhoopali?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2004",
"style": "rule"
} | {
"index": 7679,
"need_tools_kwargs": true,
"question": "Find the number of ordered pairs of real numbers $(a,b)$ such that $(a + bi)^{2002} = a - bi$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}",
"style": "rule"
} | {
"index": 7680,
"need_tools_kwargs": true,
"question": "Given an ellipse with $\\frac{x^2}{a^2} + \\frac{y^2}{b^2} = 1$ ($a > b > 0$), its left focal point is $F_1(-1, 0)$, and vertex P on the ellipse satisfies $\\angle PF_1O = 45^\\circ$ (where O is the origin).\n(1) Determine the values of $a$ and $b$;\n(2) Given that line $l_1: y = kx + m_1$ intersects the ellipse at points A and B, and line $l_2: y = kx + m_2$ ($m_1 \\neq m_2$) intersects the ellipse at points C and D, and $|AB| = |CD|$:\n① Find the value of $m_1 + m_2$;\n② Determine the maximum value of the area S of quadrilateral 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": "33",
"style": "rule"
} | {
"index": 7681,
"need_tools_kwargs": true,
"question": "Four girls and eight boys came for a class photograph. Children approach the photographer in pairs and take a joint photo. Among how many minimum photos must there necessarily be either a photo of two boys, a photo of two girls, or two photos with the same children?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left(\\tfrac{15}{4},0\\right)",
"style": "rule"
} | {
"index": 7682,
"need_tools_kwargs": true,
"question": "An ellipse has foci at $(0, 2)$ and $(3, 0)$. It has two $x$-intercepts, one of which is the origin. What is the other one? Enter your answer as an ordered pair.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2024",
"style": "rule"
} | {
"index": 7683,
"need_tools_kwargs": true,
"question": "In a table with $88$ rows and $253$ columns, each cell is colored either purple or yellow. Suppose that for each yellow cell $c$, the following condition holds: \n$$x(c) \\cdot y(c) \\geq 184,$$ \nwhere $x(c)$ is the number of purple cells in the same row as $c$, and $y(c)$ is the number of purple cells in the same column as $c$. \nFind the least possible number of cells that are colored purple.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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",
"style": "rule"
} | {
"index": 7684,
"need_tools_kwargs": true,
"question": "Twenty pairs of integers are formed using each of the integers \\( 1, 2, 3, \\ldots, 40 \\) exactly once. The positive difference between the integers in each pair must be either 1 or 3. Determine the greatest possible sum of these differences.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\"preferred source for election results\"",
"style": "rule"
} | {
"index": 7685,
"need_tools_kwargs": true,
"question": "An American statistician and writer who analyzes baseball cited Leip's Atlas as 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": "9",
"style": "rule"
} | {
"index": 7686,
"need_tools_kwargs": true,
"question": "有 $n$ 个质点, 每个质点质量为 $m_{k}$, 则质心位置 $x=\\frac{\\sum m_{k} x_{k}}{\\sum m_{k}}$。对于一杆, 长 3 m, 放于 $x \\in[-1,2]$ 间, 且线密度满足 $\\beta=2+x$，则质心应位于 $x = \\frac{a}{b}$ 的形式，其中 $a$ 和 $b$ 是互质整数。求 $a + b$。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "100",
"style": "rule"
} | {
"index": 7687,
"need_tools_kwargs": true,
"question": "Let $\\overline{AB}$ be a diameter in a circle of radius $5\\sqrt2.$ Let $\\overline{CD}$ be a chord in the circle that intersects $\\overline{AB}$ at a point $E$ such that $BE=2\\sqrt5$ and $\\angle AEC = 45^{\\circ}.$ Find the value of $CE^2+DE^2.$",
"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": "Matthew Jason Bloom",
"style": "rule"
} | {
"index": 7688,
"need_tools_kwargs": true,
"question": "The Streak included a defeat of which color commentator and former wrestler in a handicap match?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7689,
"need_tools_kwargs": true,
"question": "One scoop of fish food can feed 8 goldfish. How many goldfish can 4 scoops of fish food feed?\n(A) 12\n(B) 16\n(C) 8\n(D) 64\n(E) 32",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 + \\sqrt{3}, 1 - \\sqrt{3}",
"style": "rule"
} | {
"index": 7690,
"need_tools_kwargs": true,
"question": "Solve the equation \\[x^2 = \\frac{4x-2}{x-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": "El Tesoro De La Isla Maciel",
"style": "rule"
} | {
"index": 7691,
"need_tools_kwargs": true,
"question": "Which film has the director who was born first, The Nutcracker (1993 Film) or El Tesoro De La Isla Maciel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Holly Black and Tony DiTerlizzi",
"style": "rule"
} | {
"index": 7692,
"need_tools_kwargs": true,
"question": "Karey Kirkpatrick has screenwriting credits in the 2008 fantasy film based on the book by whom?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7693,
"need_tools_kwargs": true,
"question": "Do director of film Surveykkallu and director of film The Hawk'S Trail 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": "90",
"style": "rule"
} | {
"index": 7694,
"need_tools_kwargs": true,
"question": "Matthew rolled a normal die 24 times, ensuring that all numbers from 1 to 6 appeared at least once. The number 1 came up more frequently than any other number. If Matthew aimed to achieve the largest possible total from these rolls, what total did he obtain?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "179^\\circ",
"style": "rule"
} | {
"index": 7695,
"need_tools_kwargs": true,
"question": "A convex pentagon has interior angles with measures $x+1$, $2x$, $3x$, $4x$, and $5x-1$ degrees. What is the measure of the largest angle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "28 September 1872",
"style": "rule"
} | {
"index": 7696,
"need_tools_kwargs": true,
"question": "When was the director of film The Harbour Lights (1923 Film) 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": "Lisa Thornhill",
"style": "rule"
} | {
"index": 7697,
"need_tools_kwargs": true,
"question": "Which actress played the role of Evelyn Thompson in the film 2000 film directed by Brett Ratner?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 7698,
"need_tools_kwargs": true,
"question": "Where was the director of film Ninì Tirabusciò: La Donna Che Inventò La Mossa born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{3} + 2",
"style": "rule"
} | {
"index": 7699,
"need_tools_kwargs": true,
"question": "In right triangle \\( \\triangle ACB \\), \\(\\angle C = 90^{\\circ}\\), points \\(D\\) and \\(E\\) lie on \\(BC\\) and \\(CA\\) respectively, and \\(\\frac{BD}{AC} = \\frac{AE}{CD} = K\\). Let \\(BE\\) intersect \\(AD\\) at \\(O\\). If \\(\\angle BOD = 75^{\\circ}\\), what is \\(K\\)?",
"split": "train"
} | null |
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