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": "2016",
"style": "rule"
} | {
"index": 7400,
"need_tools_kwargs": true,
"question": "Find the smallest integer solution of the equation\n\n$$\n\\left\\lfloor\\frac{x}{8}\\right\\rfloor-\\left\\lfloor\\frac{x}{40}\\right\\rfloor+\\left\\lfloor\\frac{x}{240}\\right\\rfloor=210\n$$\n\n(If $x$ is a real number, $\\lfloor x\\rfloor$ is the floor of $x$, that is, the greatest integer less than or equal to $x$.)",
"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": "Mary of Guelders",
"style": "rule"
} | {
"index": 7401,
"need_tools_kwargs": true,
"question": "Who was the wife of the king of the Scots who was assassinated on 21 February 1437?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7402,
"need_tools_kwargs": true,
"question": "Are Busingye Kabumba and Tony Debrum of 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": "3, -6, -3, 10",
"style": "rule"
} | {
"index": 7403,
"need_tools_kwargs": true,
"question": "Simplify $(3p^3 - 5p + 6) + (4 - 6p^2 + 2p)$. Express your answer in the form $Ap^3 + Bp^2 + Cp +D$, where $A$, $B$, $C$, and $D$ are numbers (possibly negative).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Vixen!",
"style": "rule"
} | {
"index": 7404,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Vixen! or Calle Mayor (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": "Dwarka Sector 14 Metro Station",
"style": "rule"
} | {
"index": 7405,
"need_tools_kwargs": true,
"question": "guru gobind singh indraprastha university dwarka nearest metro station",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}{6}",
"style": "rule"
} | {
"index": 7406,
"need_tools_kwargs": true,
"question": "In rectangle \\(PQRS\\), it is given that \\(PR = 3 \\cdot PQ\\). Points \\(T\\) and \\(U\\) lie on \\(\\overline{PQ}\\) such that \\(\\overline{RT}\\) bisects \\(\\angle SPR\\) and \\(\\overline{RU}\\) is perpendicular to \\(\\overline{RT}\\). Determine the ratio of the area of triangle \\(RTU\\) to the area of rectangle \\(PQRS\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Celtic Frost",
"style": "rule"
} | {
"index": 7407,
"need_tools_kwargs": true,
"question": "The former bassist of what influential extreme metal band, also collaborated on the non-fiction book Only Death is Real?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "United States",
"style": "rule"
} | {
"index": 7408,
"need_tools_kwargs": true,
"question": "Which country the performer of song Clap Hands! Here Comes Charley! 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": "823",
"style": "rule"
} | {
"index": 7409,
"need_tools_kwargs": true,
"question": "A leak in the bottom of a tank can empty the tank in 6 hrs. An inlet pipe fills water at the rate of 4 liters/min. When the tank is full, the inlet is opened and due to the leak, the tank empties in 8 hrs. What is the capacity of the tank in liters?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Gustavo Alfredo Santaolalla",
"style": "rule"
} | {
"index": 7410,
"need_tools_kwargs": true,
"question": "El Peyote Asesino is an Uruguayan hip-hop and hard rock band, Terraja 1998, was produced by which Argentine musician, film composer and producer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 7411,
"need_tools_kwargs": true,
"question": "求所有次数为 2 且首项系数为 1 的整系数多项式 P(x)，使得存在一个整系数多项式 Q(x)，满足 P(x)Q(x) 的所有系数均为 \\pm1。每个多项式的格式为 ax^2 + bx + c，请给出所有符合条件的多项式中 a + b + c 的总和。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "108\\sqrt{3}-36",
"style": "rule"
} | {
"index": 7412,
"need_tools_kwargs": true,
"question": "In rectangle $ABCD$, angle $C$ is trisected by $\\overline{CF}$ and $\\overline{CE}$, where $E$ is on $\\overline{AB}$, $F$ is on $\\overline{AD}$, $BE=6$, and $AF=2$. Find the area of $ABCD$.\n\n[asy]\nimport olympiad; import geometry; size(150); defaultpen(linewidth(0.8)); dotfactor=4;\nreal length = 2 * (6*sqrt(3) - 2), width = 6*sqrt(3);\ndraw(origin--(length,0)--(length,width)--(0,width)--cycle);\ndraw((length,width)--(0,2)^^(length,width)--(length - 6,0));\ndot(\"$A$\",origin,SW); dot(\"$B$\",(length,0),SE); dot(\"$C$\",(length,width),NE); dot(\"$D$\",(0,width),NW); dot(\"$F$\",(0,2),W); dot(\"$E$\",(length - 6,0),S);\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": "yes",
"style": "rule"
} | {
"index": 7413,
"need_tools_kwargs": true,
"question": "Are Alice Munro and Lillian Hellman both writers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "University of Texas",
"style": "rule"
} | {
"index": 7414,
"need_tools_kwargs": true,
"question": "What university did the team which was coached by the 2001-2006 head coach for the University of Miami, represent at the San Antonio 2011 NCAA division?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Ruth Jones",
"style": "rule"
} | {
"index": 7415,
"need_tools_kwargs": true,
"question": " who is one of the actors of the show that Mathew Horne appeared on ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "New York",
"style": "rule"
} | {
"index": 7416,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Branded 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": "\\frac{5308416}{73530625}",
"style": "rule"
} | {
"index": 7417,
"need_tools_kwargs": true,
"question": "Let $a=\\frac{4}{7}$ and let $b=\\frac{5}{6}$. Compute $(a^3b^{-2})^2.$",
"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": "Aloha Bowl",
"style": "rule"
} | {
"index": 7418,
"need_tools_kwargs": true,
"question": "Pro Bowl quarterback \"Slash\", played in which 1993 post-season college football bowl?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Christian Charles Philip Bale",
"style": "rule"
} | {
"index": 7419,
"need_tools_kwargs": true,
"question": "Prince of Jutland starred which English actor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Golden Idol",
"style": "rule"
} | {
"index": 7420,
"need_tools_kwargs": true,
"question": "Which film has the director born first, The Mirror (1943 Film) or The Golden Idol?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "New Orleans",
"style": "rule"
} | {
"index": 7421,
"need_tools_kwargs": true,
"question": "Where was the performer of song On My Way (Louis Armstrong Song) 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": "20 September 2014",
"style": "rule"
} | {
"index": 7422,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Commissioner (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": "288",
"style": "rule"
} | {
"index": 7423,
"need_tools_kwargs": true,
"question": "How many square centimeters (cm2) is the area of a rhombus that can be drawn between the four sides of a square with a circumference of 96 centimeters (cm)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Erykah Badu",
"style": "rule"
} | {
"index": 7424,
"need_tools_kwargs": true,
"question": "Who is this American singer-songwriter, record producer, disc jockey, activist, and actress who released in 2000 a song about a woman who is trying to begin a new relationship but has too much emotional \"baggage\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "162",
"style": "rule"
} | {
"index": 7425,
"need_tools_kwargs": true,
"question": "Given that six test scores have a mean of 85, a median of 86, and a mode of 88, determine the sum of the two lowest test scores.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Princess Of New York",
"style": "rule"
} | {
"index": 7426,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, The Princess Of New York or 1987: When The Day Comes?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\begin{pmatrix} 1 \\\\ 8 \\\\ 5 \\end{pmatrix}",
"style": "rule"
} | {
"index": 7427,
"need_tools_kwargs": true,
"question": "A line is described by a parameter \\( t \\). The vector on the line for \\( t = -2 \\) is \\( \\begin{pmatrix} 2 \\\\ 4 \\\\ 7 \\end{pmatrix} \\) and for \\( t = 1 \\) it is \\( \\begin{pmatrix} -1 \\\\ 0 \\\\ -3 \\end{pmatrix} \\). Determine the vector on this line at \\( t = -1 \\) and check whether the vector \\( \\begin{pmatrix} 3 \\\\ 604 \\\\ -6 \\end{pmatrix} \\) lies on this line.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\pm 3, \\pm 7",
"style": "rule"
} | {
"index": 7428,
"need_tools_kwargs": true,
"question": "Find all integers $a$ for which the number $a^{10} + 1$ is divisible by 10.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 7429,
"need_tools_kwargs": true,
"question": "求所有的函数 f:\\bN_+\\rightarrow\\bN_+，满足：(1) 对任意正整数 n，均有 f(n!)=f(n)!；(2) 对任意不同的正整数 m,n，均有 m-n\\mid f(m)-f(n)。假设f(n) ≡ 1对应编号k1，f(n) ≡ 2对应编号k2，f(n) = n对应编号k3，请给出k1+k2+k3的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 7430,
"need_tools_kwargs": true,
"question": "Consider an equilateral triangle \\( \\triangle ABC \\). Let \\( M \\) and \\( N \\) be the midpoints of sides \\( BC \\) and \\( BA \\) respectively, and let \\( O \\) be the circumcenter of triangle \\( BMN \\). A point \\( D \\) is located on side \\( AC \\) such that the area of triangle \\( AOD \\) is \\( \\frac{1}{n} \\) of the area of triangle \\( ABC \\), where \\( n > 1 \\) and \\( n \\) is a positive integer. Determine the ratio \\( \\frac{AD}{DC} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7431,
"need_tools_kwargs": true,
"question": "One necklace is worth $34. Bob decided to buy one for his wife. But, he also bought a book, which is $5 more expensive than the necklace. Before he went shopping, Bob set a limit and decided not to spend more than $70. How many dollars over the \"limit\" did Bob spend?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Gimnàstic de Tarragona",
"style": "rule"
} | {
"index": 7432,
"need_tools_kwargs": true,
"question": "Which of the Spanish sports club based in Tarragona did José María Calvo had loan spells?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1986",
"style": "rule"
} | {
"index": 7433,
"need_tools_kwargs": true,
"question": "When was the company that published Turkish Review founded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Robert Ludlum",
"style": "rule"
} | {
"index": 7434,
"need_tools_kwargs": true,
"question": "Who wrote The Road to City A where City A is where KFAB broadcasts?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7435,
"need_tools_kwargs": true,
"question": "If every $k$-element subset of $S=\\{1,2,\\dots , 32\\}$ contains three different elements $a,b,c$ such that $a$ divides $b$, and $b$ divides $c$, what is the minimum value of $k$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2.0",
"style": "rule"
} | {
"index": 7436,
"need_tools_kwargs": true,
"question": "\nFind the minimum value of the expression \n\n$$\n\\frac{|a-3b-2| + |3a-b|}{\\sqrt{a^2 + (b+1)^2}}\n$$\n\nfor \\(a, b \\geq 0\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 7437,
"need_tools_kwargs": true,
"question": "已知抛物线$y=x^2$与过点 $P(-1,-1)$ 的直线 $l$ 交于 $P_1,P_2$ 两点. 求:在线段$P_1P_2$ 上满足条件$\\frac{1}{PP_{1}}+\\frac{1}{PP_{2}}=\\frac{2}{PQ}$的点 $Q$的轨迹方程。假设答案的方程形式为$kx + my + n = 0$，且满足条件$-\\sqrt{a}-b < x < \\sqrt{a}-b$，请给出k+m+n+a+b的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 7438,
"need_tools_kwargs": true,
"question": "Are both Dictyosperma, and Huernia described as a genus?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Good Place.",
"style": "rule"
} | {
"index": 7439,
"need_tools_kwargs": true,
"question": "Which NBC sitcom is star of the second and final season of ''\" now playing the afterlife \"architect\" Michael?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7440,
"need_tools_kwargs": true,
"question": "Are director of film Dear Louise and director of film Little Red Flowers both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{243}{32}",
"style": "rule"
} | {
"index": 7441,
"need_tools_kwargs": true,
"question": "For polynomial $P(x)=1-\\dfrac{1}{3}x+\\dfrac{1}{6}x^{2}$, define\n\\[Q(x)=P(x)P(x^{3})P(x^{5})P(x^{7})P(x^{9})=\\sum_{i=0}^{50} a_ix^{i}.\\]Find $\\sum_{i=0}^{50} |a_i|.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6561",
"style": "rule"
} | {
"index": 7442,
"need_tools_kwargs": true,
"question": "Let $a_0 = 2,$ $b_0 = 3,$ and\n\\[a_{n + 1} = \\frac{a_n^2}{b_n} \\quad \\text{and} \\quad b_{n + 1} = \\frac{b_n^2}{a_n}\\]for all $n \\ge 0.$ Then $b_8$ can be expressed as $\\frac{3^m}{2^n}$ for some integers $m$ and $n$. The original answer is in the form of an ordered pair $(m, n)$. Please provide the value of $m + n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{\\frac{7}{8}}",
"style": "rule"
} | {
"index": 7443,
"need_tools_kwargs": true,
"question": "Let \\(\\mathcal{P}\\) be a parabola, and let \\(V_{1}\\) and \\(F_{1}\\) be its vertex and focus, respectively. Let \\(A\\) and \\(B\\) be points on \\(\\mathcal{P}\\) so that \\(\\angle A V_{1} B=90^{\\circ}\\). Let \\(\\mathcal{Q}\\) be the locus of the midpoint of \\(AB\\). It turns out that \\(\\mathcal{Q}\\) is also a parabola, and let \\(V_{2}\\) and \\(F_{2}\\) denote its vertex and focus, respectively. Determine the ratio \\(F_{1} F_{2} / V_{1} V_{2}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{4}{15}",
"style": "rule"
} | {
"index": 7444,
"need_tools_kwargs": true,
"question": "\nThrough the vertex \\(B\\) of triangle \\(ABC\\), a line \\(\\ell\\) is drawn parallel to side \\(AC\\). The angle bisector of angle \\(A\\) intersects \\(\\ell\\) at point \\(A'\\), and the angle bisector of angle \\(C\\) intersects \\(\\ell\\) at point \\(C'\\). It is known that the area of triangle \\(ABA'\\) is \\(50\\%\\) greater and the area of triangle \\(CBC'\\) is \\(25\\%\\) greater than the area of triangle \\(ABC\\). The bisectors intersect at point \\(O\\). What fraction of the area of triangle \\(AOC\\) is 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": "Augusta Mall",
"style": "rule"
} | {
"index": 7445,
"need_tools_kwargs": true,
"question": "What shopping mall includes a store that was founded by Karl Anderson Jr.?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Robin McLaurin Williams",
"style": "rule"
} | {
"index": 7446,
"need_tools_kwargs": true,
"question": "Robert Chapin has trained with which late stand-up comedian and actor from San Francisco?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7447,
"need_tools_kwargs": true,
"question": "Given two perpendicular lines, $2x + my - 1 = 0$ and $3x - 2y + n = 0$, with the foot of the perpendicular from the point $(2, p)$, find the value of $m + n + p$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7448,
"need_tools_kwargs": true,
"question": "Does the TechCrunch article suggest that there is a legislative remedy for AI risks and abuses, while the Engadget article indicates that President Biden and Congress are actively working on drafting legislation related to AI?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Danny Manning",
"style": "rule"
} | {
"index": 7449,
"need_tools_kwargs": true,
"question": "The 2000–01 NBA season was the Jazz's 27th season in the National Basketball Association, and 22nd season in Salt Lake City, Utah, after the retirement of Jeff Hornacek, the Jazz signed free agents John Starks, and 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": "Treaty of Karlowitz",
"style": "rule"
} | {
"index": 7450,
"need_tools_kwargs": true,
"question": "What treaty ended the war in which the Battle of Vác was fought?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Winners & Losers",
"style": "rule"
} | {
"index": 7451,
"need_tools_kwargs": true,
"question": "What show that starred Damien Bodie was created by the producers of \"packed to the Rafters\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2010",
"style": "rule"
} | {
"index": 7452,
"need_tools_kwargs": true,
"question": "In which year did the top religious body in Saudi Arabia give the green light for codification of Sharia law?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Kindly accept my humble and respectful dandabats.",
"style": "rule"
} | {
"index": 7453,
"need_tools_kwargs": true,
"question": "What was the first line after the salutation in the letter sent to Gosvami Maharaja by A. C. Bhaktivedanta, also known as A. C. Bhaktivedanta Swami Prabhupada, on October 5, 1955?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "22",
"style": "rule"
} | {
"index": 7454,
"need_tools_kwargs": true,
"question": "Technology changes the world. Express sorting robots have become popular from Weibo to Moments. According to the introduction, these robots can not only automatically plan the optimal route, accurately place packages in the corresponding compartments, sense and avoid obstacles, automatically return to the team to pick up packages, but also find charging piles to charge themselves when they run out of battery. A certain sorting warehouse plans to sort an average of 200,000 packages per day. However, the actual daily sorting volume may deviate from the plan. The table below shows the situation of sorting packages in the third week of October in this warehouse (the part exceeding the planned amount is recorded as positive, and the part that does not reach the planned amount is recorded as negative):\n\n| Day of the Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |\n|-----------------|--------|---------|-----------|----------|--------|----------|--------|\n| Sorting Situation (in 10,000s) | +6 | +4 | -6 | +8 | -1 | +7 | -4 |\n\n$(1)$ The day with the most sorted packages in the warehouse this week is ______; the day with the least sorted packages is ______; the day with the most sorted packages has ______ more packages than the day with the least sorted packages;<br/>$(2)$ How many packages, on average, did the warehouse actually sort per day this week?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Swain and Graham",
"style": "rule"
} | {
"index": 7455,
"need_tools_kwargs": true,
"question": "Hiwassee Dam is the third highest dam in the TVA system, behind the hydroelectric dam in what two North Carolina counties as the highest?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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, 198",
"style": "rule"
} | {
"index": 7456,
"need_tools_kwargs": true,
"question": "99 lines divide a plane into \\( n \\) parts. Find all possible values of \\( n \\) that are less than 199.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{\\sqrt{2}}{3}",
"style": "rule"
} | {
"index": 7457,
"need_tools_kwargs": true,
"question": "In a tetrahedron \\(A B C D\\), \\(B D = D C = C B = \\sqrt{2}\\), \\(A C = \\sqrt{3}\\), \\(A B = A D = 1\\). Let \\(M\\) be the midpoint of \\(C D\\). Find the cosine of the angle between line \\(B M\\) and line \\(A C\\):\n\n(A) \\(\\frac{\\sqrt{2}}{3}\\)\n(B) \\(\\frac{\\sqrt{2}}{2}\\)\n(C) \\(\\frac{\\sqrt{3}}{3}\\)\n(D) \\(\\frac{\\sqrt{6}}{3}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Los Angeles",
"style": "rule"
} | {
"index": 7458,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Vagabond Prince?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Harold R. Atteridge",
"style": "rule"
} | {
"index": 7459,
"need_tools_kwargs": true,
"question": "Who wrote the book and lyrics the musical about a porter in old Baghdad, with music by the composer who did The New Moon and The Desert 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... | qa | {
"ground_truth": "First Cemetery of Athens",
"style": "rule"
} | {
"index": 7460,
"need_tools_kwargs": true,
"question": "Where was the place of burial of the director of film O Striglos Pou Egine Arnaki?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$250.22",
"style": "rule"
} | {
"index": 7461,
"need_tools_kwargs": true,
"question": "After a 10% reduction in the price of petrol, a motorist is able to buy 5 gallons more petrol for a certain amount. The original price of petrol was $5.56 per gallon. How much did the motorist spend on petrol?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{35}{36}",
"style": "rule"
} | {
"index": 7462,
"need_tools_kwargs": true,
"question": "Consider a quadrilateral \\(ABCD\\) that has an inscribed circle \\(\\omega\\) with center \\(I\\). The distances from the center \\(I\\) to the vertices are given as \\(IA = 5\\), \\(IB = 7\\), \\(IC = 4\\), and \\(ID = 9\\). Using this information, determine the value of the ratio \\(\\frac{AB}{CD}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "November 26, 1946",
"style": "rule"
} | {
"index": 7463,
"need_tools_kwargs": true,
"question": "When is the director of film White Rush 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{9}{16}",
"style": "rule"
} | {
"index": 7464,
"need_tools_kwargs": true,
"question": "Suppose we flip five coins simultaneously: a penny (1 cent), a nickel (5 cents), a dime (10 cents), a quarter (25 cents), and a half-dollar (50 cents). What is the probability that at least 40 cents worth of coins come up heads?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7465,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Where Was I? (Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 7466,
"need_tools_kwargs": true,
"question": "Given the sets $A=\\{1, 2\\}$ and $B=\\{x | x^2 - ax + a - 1 = 0\\}$, if $A \\cup B = A$, find the value of the real number $a$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "21",
"style": "rule"
} | {
"index": 7467,
"need_tools_kwargs": true,
"question": "Grandma has two balls of yarn: one large and one small. From the large ball, she can either knit a sweater and three socks, or five identical hats. From the small ball, she can either knit half a sweater or two hats. (In both cases, all the yarn will be used up.) What is the maximum number of socks Grandma can knit using both balls of yarn? Justify your answer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Fairly Local",
"style": "rule"
} | {
"index": 7468,
"need_tools_kwargs": true,
"question": "What was the lead single on the album that included a song that peaked at number five on the US \"Billboard\" Hot 100 and was released on YouTube on May 12, 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... | math | {
"ground_truth": "\\frac12",
"style": "rule"
} | {
"index": 7469,
"need_tools_kwargs": true,
"question": "A square has area $\\frac14$. What is the side length of the square?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "D: 2\\sqrt{3}",
"style": "rule"
} | {
"index": 7470,
"need_tools_kwargs": true,
"question": "Given that the angle between the plane vectors $\\overrightarrow{a}$ and $\\overrightarrow{b}$ is $60^{\\circ}$, $\\overrightarrow{a} = (\\sqrt{3}, 1)$, and $|\\overrightarrow{b}| = 1$, find the value of $|\\overrightarrow{a} + 2\\overrightarrow{b}| = (\\ ).$\n\nA: $2$\nB: $\\sqrt{7}$\nC: $2\\sqrt{7}$\nD: $2\\sqrt{3}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Zaki Rostom",
"style": "rule"
} | {
"index": 7471,
"need_tools_kwargs": true,
"question": "What is the name of the Egyptian method actor regarded as one of the most influential and important actors of Egyptian cinema?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7472,
"need_tools_kwargs": true,
"question": "Did the report from Cnbc | World Business News Leader on \"Nike's Latin America and Asia Pacific unit\" or the article from Fortune on the \"U.S. home sales price\" both report a decrease in their respective financial figures?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2266.5\\pi",
"style": "rule"
} | {
"index": 7473,
"need_tools_kwargs": true,
"question": "A solid bowling ball with a spherical surface has a diameter of 24 cm. For a custom fit, two holes are drilled for bowler Alex. The holes, which are right circular cylinders, have depths of 6 cm and diameters of 3 cm and 4 cm, respectively. Calculate the volume of the bowling ball after the holes have been drilled, expressed 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": "no",
"style": "rule"
} | {
"index": 7474,
"need_tools_kwargs": true,
"question": "Did Por Intharapalit and Claire Beynon 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": "2:1",
"style": "rule"
} | {
"index": 7475,
"need_tools_kwargs": true,
"question": "The number of people who purchased book A is some multiple of the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. The number of people C who purchased only book A is 1000. What is the ratio of the number of people who purchased book A to the number of people who purchased book B?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 7476,
"need_tools_kwargs": true,
"question": "Are both director of film Zombieland and director of film NH 47 (film) from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Dilbaro",
"style": "rule"
} | {
"index": 7477,
"need_tools_kwargs": true,
"question": "For which song was Vibha Saraf nominated for Best Female Playback Singer at the 20th International Indian Film Academy Awards?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1026",
"style": "rule"
} | {
"index": 7478,
"need_tools_kwargs": true,
"question": "Given the sequence $1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1,...,$ \ffind $n$ such that the sum of the \ffirst $n$ terms is $2008$ or $2009$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{5}{8}",
"style": "rule"
} | {
"index": 7479,
"need_tools_kwargs": true,
"question": "Jacob uses the following procedure to write down a sequence of numbers. First he chooses the first term to be 6. To generate each succeeding term, he flips a fair coin. If it comes up heads, he doubles the previous term and subtracts 1. If it comes up tails, he takes half of the previous term and subtracts 1. What is the probability that the fourth term in Jacob's sequence is an [integer](https://artofproblemsolving.com/wiki/index.php/Integer)?\n$\\mathrm{(A)}\\ \\frac{1}{6}\\qquad\\mathrm{(B)}\\ \\frac{1}{3}\\qquad\\mathrm{(C)}\\ \\frac{1}{2}\\qquad\\mathrm{(D)}\\ \\frac{5}{8}\\qquad\\mathrm{(E)}\\ \\frac{3}{4}$",
"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{5+\\ln2}{4}",
"style": "rule"
} | {
"index": 7480,
"need_tools_kwargs": true,
"question": "Given a line parallel to the x-axis intersects the curves $y=e^{2x+1}$ and $y=\\sqrt{2x-1}$ at points A and B, respectively, the minimum value of $|AB|$ is ( )\n\nA: $\\frac {5+\\ln2}{4}$ \nB: $\\frac {5-\\ln2}{4}$ \nC: $\\frac {3+\\ln2}{4}$ \nD: $\\frac {3-\\ln2}{4}$",
"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... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 7481,
"need_tools_kwargs": true,
"question": "Are Shah Marz and Jowzi 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... | math | {
"ground_truth": "200",
"style": "rule"
} | {
"index": 7482,
"need_tools_kwargs": true,
"question": "In a magic square , the sum of the three entries in any row, column, or diagonal is the same value. The figure shows four of the entries of a magic square. Find $x$ . \n$\\begin{array}{|l|l|l|} \\hline x & 19 & 96 \\\\ \\hline 1 & & \\\\ \\hline & & \\\\ \\hline \\end{array}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "EG&G",
"style": "rule"
} | {
"index": 7483,
"need_tools_kwargs": true,
"question": "What defense contractor operated a highly classified fleet of passenger aircraft to transport United States Air Force military and contractor employees?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "bowed instrument sarangi",
"style": "rule"
} | {
"index": 7484,
"need_tools_kwargs": true,
"question": "What is the name and type of instrument popularized by the composer of Rag Shankara, Rag Mala in Jogia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"index": 7485,
"need_tools_kwargs": true,
"question": "James wrote a different integer from 1 to 9 in each cell of a table. He then calculated the sum of the integers in each of the rows and in each of the columns of the table. Five of his answers were 12, 13, 15, 16, and 17, in some order. What was his sixth answer?\n- A) 17\n- B) 16\n- C) 15\n- D) 14\n- E) 13",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7486,
"need_tools_kwargs": true,
"question": "All positive integers whose binary representations (excluding leading zeroes) have at least as many 1's as 0's are put in increasing order. Compute the number of digits in the binary representation of the 200th 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": "784",
"style": "rule"
} | {
"index": 7487,
"need_tools_kwargs": true,
"question": "Consider a parallelogram \\(ABCD\\) with an area of \\(1,000,000\\). Vertex \\(A\\) is located at the origin \\((0,0)\\), and the other vertices \\(B\\) and \\(D\\) are lattice points situated in the first quadrant. Vertex \\(B\\) lies on the line \\(y = x\\), while vertex \\(D\\) is on the line \\(y = kx\\) for some integer \\(k > 1\\). Determine how many such parallelograms can be formed under these conditions.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Jomoro district",
"style": "rule"
} | {
"index": 7488,
"need_tools_kwargs": true,
"question": "In which district of Ghana can one find a fort, erected on the site of a previous Swedish trading post, built by the British between 1768 and 1770?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7489,
"need_tools_kwargs": true,
"question": "The graph of $xy = 1$ is a hyperbola. Find the distance between the foci of this hyperbola.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "March 27, 1888",
"style": "rule"
} | {
"index": 7490,
"need_tools_kwargs": true,
"question": "When was the director of film Carolyn Of The Corners 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": " \\frac{y^{2}}{3} - \\frac{x^{2}}{9} = 1 ",
"style": "rule"
} | {
"index": 7491,
"need_tools_kwargs": true,
"question": "Find the standard equation of the hyperbola that shares the same asymptotes with the hyperbola $\\frac{x^{2}}{3}-y^{2}=1$ and passes through the point $(\\sqrt{3},2)$.",
"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... | qa | {
"ground_truth": "lightning rod, bifocals, and the Franklin stove, among other inventions",
"style": "rule"
} | {
"index": 7492,
"need_tools_kwargs": true,
"question": "What inventions are credited to the person who has a street named after him that runs East and West through the city of Richmond, Virginia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10.5",
"style": "rule"
} | {
"index": 7493,
"need_tools_kwargs": true,
"question": "Melissa had 123 books and Jordan had 27 books. After giving some of her books to Jordan, Melissa ended up with three times as many books as Jordan. Determine how many books Melissa gave to Jordan.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "27",
"style": "rule"
} | {
"index": 7494,
"need_tools_kwargs": true,
"question": "已知集合 M=\\{x\\ |\\ x^2-9>0\\}，N=\\{x\\in\\bZ\\ |\\ x^2-8x+a<0\\}。若集合 M\\cap N 的子集个数为 4，则实数 a 的取值范围是 [b, c]。请给出 b + c 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": "heart attack",
"style": "rule"
} | {
"index": 7495,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Call Her Savage?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7496,
"need_tools_kwargs": true,
"question": "设正实数 a,b,c,d 满足 (a+c)(b+d)=ac+bd. 求\\df{a}{b}+\\df{b}{c}+\\df{c}{d}+\\df{d}{a}的最小值.",
"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": "no",
"style": "rule"
} | {
"index": 7497,
"need_tools_kwargs": true,
"question": "Are director of film The Riding Tornado and director of film Murder Tomorrow both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"index": 7498,
"need_tools_kwargs": true,
"question": "Let $\\vartriangle ABC$ be an equilateral triangle. Points $D,E, F$ are drawn on sides $AB$,$BC$, and $CA$ respectively such that $[ADF] = [BED] + [CEF]$ and $\\vartriangle ADF \\sim \\vartriangle BED \\sim \\vartriangle CEF$. The ratio $\\frac{[ABC]}{[DEF]}$ can be expressed as $\\frac{a+b\\sqrt{c}}{d}$ , where $a$, $b$, $c$, and $d$ are positive integers such that $a$ and $d$ are relatively prime, and $c$ is not divisible by the square of any prime. Find $a + b + c + d$.\n(Here $[P]$ denotes the area of polygon $P$.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "inadequate prosecution",
"style": "rule"
} | {
"index": 7499,
"need_tools_kwargs": true,
"question": "Who is said to be responsible for the Adams going free?",
"split": "train"
} | null |
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