source stringclasses 10 values | domain listlengths 1 3 | llama8b_solve_rate float64 0 0.09 ⌀ | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|
big_math | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the geometric sequence $\\{a_n\\}$, $S_2... | math | {
"ground_truth": "28",
"style": "rule"
} | {
"answer": "28",
"index": 3300,
"question": "In the geometric sequence $\\{a_n\\}$, $S_2=7$ and $S_6=91$. Using the fact that the sum of every two adjacent terms also forms a geometric sequence, find the value of $S_4$. Express your answer as a single number.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A marching band of 240 musicians are to mar... | math | {
"ground_truth": "80",
"style": "rule"
} | {
"answer": "80",
"index": 3301,
"question": "A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than a certain number of musicians per row. There are 8 different rectangular formations possible. What is the maximum number of musicians per row?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The total population of a city and city C i... | math | {
"ground_truth": "5000",
"style": "rule"
} | {
"answer": "5000",
"index": 3302,
"question": "The total population of a city and city C is 5000 less than the total population of another city and city C. The population in city C is 5000 less than the population in the city with a higher population. Which city has a population that, when combined with city C, is 5000 less than the other city and city C?",
"split": "train"
} |
orca_math | [
"Mathematics -> Number Theory -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A number is said to be prime saturated if a... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 3303,
"question": "A number is said to be prime saturated if a certain value related to its prime factors is less than the square root of the number. The greatest two-digit prime saturated integer is 96. What value related to the prime factors should be less than the square root of the number for it to be prime saturated?",
"split": "train"
} |
amc_aime | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let $S$ be a list of positive integers--not... | math | {
"ground_truth": "649",
"style": "rule"
} | {
"answer": "649",
"index": 3304,
"question": "Let $S$ be a list of positive integers--not necessarily distinct--in which the number $68$ appears. The average (arithmetic mean) of the numbers in $S$ is $56$. However, if $68$ is removed, the average of the remaining numbers drops to $55$. What is the largest number that can appear in $S$?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A jeweler has six boxes: two contain diamon... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 3305,
"question": "A jeweler has six boxes: two contain diamonds, two contain emeralds, and two contain rubies. Each box is labeled with the number of gemstones it contains.\n\nIt is known that the total number of rubies is 15 more than the total number of diamonds. How many emeralds are in the boxes in total?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Calculus -> Differential Calculus -> Applications of Derivatives"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that point $M(x_{1},f(x_{1}))$ and po... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 3306,
"question": "Given that point $M(x_{1},f(x_{1}))$ and point $N(x_{2},g(x_{2}))$ lie on the graphs of the functions $f(x)=e^x-\\dfrac{1}{2}x^2$ and $g(x)=x-1$, respectively, with $x_{1} \\geqslant 0$ and $x_{2} > 0$, if the line $MN$ is parallel to the x-axis, find the minimum distance between points $M$ and $N$.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Starting from any of the \\( L \\)'s, the w... | math | {
"ground_truth": "144",
"style": "rule"
} | {
"answer": "144",
"index": 3307,
"question": "Starting from any of the \\( L \\)'s, the word \\(L E V E L\\) can be spelled by moving either up, down, left, or right to an adjacent letter. If the same letter may be used twice in each spell, how many different ways are there to spell the word \\(L E V E L\\)?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given \\(t \\in \\mathbb{R}\\), \\(\\lfloor... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 3308,
"question": "Given \\(t \\in \\mathbb{R}\\), \\(\\lfloor t \\rfloor\\) is the greatest integer less than or equal to \\(t\\). In the Cartesian coordinate system \\(xOy\\), determine the area of the figure formed by points \\(P(x,y)\\) satisfying \\(\\lfloor x \\rfloor^2 + \\lfloor y \\rfloor^2 = 13\\).",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A book has 500 pages, numbered 1, 2, 3, ...... | math | {
"ground_truth": "200",
"style": "rule"
} | {
"answer": "200",
"index": 3309,
"question": "A book has 500 pages, numbered 1, 2, 3, ..., how many times does the digit 1 appear in the page numbers?",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Other",
"Mathematics -> Discrete Mathematics -> Combinatorics -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let \\( M \\) be a subset of the set \\(\\{... | math | {
"ground_truth": "123",
"style": "rule"
} | {
"answer": "123",
"index": 3310,
"question": "Let \\( M \\) be a subset of the set \\(\\{1, 2, \\cdots, 25\\}\\). Any two disjoint subsets of \\( M \\) must have different sums of their elements. Find the maximum possible sum of the elements in \\( M \\).",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Replace the ellipsis with such a natural nu... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 3311,
"question": "Replace the ellipsis with such a natural number \\( p \\) so that the answer to the following question is unambiguous: How many lines are drawn on the plane if it is known that they intersect at \\( p \\) different points?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n At a restaurant, glasses are stored in two ... | math | {
"ground_truth": "208",
"style": "rule"
} | {
"answer": "208",
"index": 3312,
"question": "At a restaurant, glasses are stored in two different-sized boxes. One box contains some glasses, and the other contains 16 glasses. The average number of glasses per box is 15, and there are 16 more of the larger boxes. The total number of glasses at the restaurant is 480. How many glasses does the smaller box contain?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The recursive formula for the sequence $\\{... | math | {
"ground_truth": "687",
"style": "rule"
} | {
"answer": "687",
"index": 3313,
"question": "The recursive formula for the sequence $\\{a_n\\}$ is $a_n=(-1)^n\\cdot2^n+n\\cdot\\cos(n\\pi)$, and the sum of the first $n$ terms is $S_n$. Then, the value of $S_{10}$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the sequence ${a_n}=C_{200}^n⋅{({\\sq... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 3314,
"question": "Given the sequence ${a_n}=C_{200}^n⋅{({\\sqrt[3]{6}})^{200-n}}⋅{({\\frac{1}{{\\sqrt{2}}}})^n}$, where $n$ ranges from $1$ to $95$, find the number of integer terms in the sequence.",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The set \\( S \\) consists of 9 distinct po... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 3315,
"question": "The set \\( S \\) consists of 9 distinct positive integers. The average of the two smallest integers in \\( S \\) is 5. The average of the two largest integers in \\( S \\) is 22. Calculate the greatest possible average of all the integers of \\( S \\). Express your answer as a single number.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Egor, Nikita, and Innokentiy took turns pla... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 3316,
"question": "Egor, Nikita, and Innokentiy took turns playing chess with each other (two play, one watches). After each game, the loser gave up their spot to the spectator (there were no draws). It turned out that Egor participated in 13 games, and Nikita in 27 games. How many games did Innokentiy play?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Polynomial Operations"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given $f(x) = x^5 - 2x^4 + x^3 + x^2 - x - ... | math | {
"ground_truth": "2015",
"style": "rule"
} | {
"answer": "2015",
"index": 3317,
"question": "Given $f(x) = x^5 - 2x^4 + x^3 + x^2 - x - 5$, calculate the value of $f(x)$ at $x=5$ using the Horner's method.",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the smallest positive integer \\( n \\... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 3318,
"question": "Find the smallest positive integer \\( n \\) for which\n\\[\n1!2!(n-1)! > n!^2.\n\\]",
"split": "train"
} |
orca_math | [
"Mathematics -> Number Theory -> Congruences"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n What least number should be added to 29989,... | math | {
"ground_truth": "21",
"style": "rule"
} | {
"answer": "21",
"index": 3319,
"question": "What least number should be added to 29989, so that the sum is completely divisible by 73?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n What is the minimum number of participants ... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"answer": "11",
"index": 3320,
"question": "What is the minimum number of participants that could have been in the school drama club if fifth-graders constituted more than $25\\%$, but less than $35\\%$; sixth-graders more than $30\\%$, but less than $40\\%$; and seventh-graders more than $35\\%$, but less than $45\\%$ (there were no participants from other grades)?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Linear Algebra -> Vectors"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that $\\overrightarrow{e_{1}}$ and $\... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 3321,
"question": "Given that $\\overrightarrow{e_{1}}$ and $\\overrightarrow{e_{2}}$ are two non-collinear vectors, $\\overrightarrow{AB}=3\\overrightarrow{e_{1}}+2\\overrightarrow{e_{2}}$, $\\overrightarrow{CB}=2\\overrightarrow{e_{1}}-5\\overrightarrow{e_{2}}$, $\\overrightarrow{CD}=\\lambda\\overrightarrow{e_{1}}-\\overrightarrow{e_{2}}$. If points $A$, $B$, and $D$ are collinear, then $\\lambda=$ ______.",
"split": "train"
} |
big_math | [
"Mathematics -> Discrete Mathematics -> Sequences and Series"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 1000 numbers arranged in a row, s... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 3322,
"question": "There are 1000 numbers arranged in a row, such that any three consecutive numbers satisfy the condition that the middle number is equal to the sum of the numbers before and after it. If the first and second numbers are both 1, what is the sum of these 1000 numbers? Express your answer as a single integer.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Area"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Nine lines parallel to the base of a triang... | math | {
"ground_truth": "200",
"style": "rule"
} | {
"answer": "200",
"index": 3323,
"question": "Nine lines parallel to the base of a triangle divide the other sides each into 10 equal segments and the area into 10 distinct parts. If the area of the largest of these parts is 38, then find the area of the original triangle.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the coefficient of $x^2$ in the expans... | math | {
"ground_truth": "192",
"style": "rule"
} | {
"answer": "192",
"index": 3324,
"question": "Find the coefficient of $x^2$ in the expansion of $(-2 \\sqrt {x}- \\frac {1}{ \\sqrt {x}})^{6}$.",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Three students and two teachers are to stan... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 3325,
"question": "Three students and two teachers are to stand side by side in a row. If teacher A must stand to the left of teacher B and the two teachers must stand adjacent to each other, calculate the total number of different arrangements.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Suppose the sequence $\\{a\\_n\\}$ is an ar... | math | {
"ground_truth": "4029",
"style": "rule"
} | {
"answer": "4029",
"index": 3326,
"question": "Suppose the sequence $\\{a\\_n\\}$ is an arithmetic sequence, with the first term $a\\_1 < 0$, $a\\_2015 + a\\_2016 > 0$, and $a\\_2015 \\cdot a\\_2016 < 0$. Determine the maximum natural number $n$ such that the sum of the first $n$ terms, $S\\_n$, is less than 0.",
"split": "train"
} |
orca_math | [
"Mathematics -> Geometry -> Solid Geometry -> Surface Area"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n You built a cuboid-shaped pond with a lengt... | math | {
"ground_truth": "292",
"style": "rule"
} | {
"answer": "292",
"index": 3327,
"question": "You built a cuboid-shaped pond with a length of 18 meters (m), a width of 10 meters (m), and a height of 2 meters (m). If you are going to paint the inner side of the pond, how many square meters (㎡) of the pond could be painted?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that $(1+2x)^{11}=a_0+a_1x+a_2x^2+...... | math | {
"ground_truth": "22",
"style": "rule"
} | {
"answer": "22",
"index": 3328,
"question": "Given that $(1+2x)^{11}=a_0+a_1x+a_2x^2+...+a_{10}x^{10}+a_{11}x^{11}$, find the value of $a_1-2a_2+...-10a_{10}+11a_{11}$.",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Plane Geometry -> Area"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the area of the triangle that is cut o... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 3329,
"question": "Find the area of the triangle that is cut off by the line \\( y = 2x + 2 \\) from the figure defined by the inequality \\( |x-2| + |y-3| \\leq 3 \\).",
"split": "train"
} |
big_math | [
"Mathematics -> Number Theory -> Other"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the sum of the digits of all numbers i... | math | {
"ground_truth": "13501",
"style": "rule"
} | {
"answer": "13501",
"index": 3330,
"question": "Find the sum of the digits of all numbers in the sequence \\(1, 2, 3, 4, \\ldots, 1000\\). Express your answer as a single integer.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Statistics -> Probability"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Randomly select seven numbers from the set ... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 3331,
"question": "Randomly select seven numbers from the set $\\{1, 2, \\cdots, 63\\}$. Let the smallest of these numbers be denoted as $x$. What is the expected value $\\mathrm{E}(x)$ of $x$?",
"split": "train"
} |
aops_forum | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Parallelogram $ABCD$ is given such that ... | math | {
"ground_truth": "880",
"style": "rule"
} | {
"answer": "880",
"index": 3332,
"question": " Parallelogram $ABCD$ is given such that $\\angle ABC$ equals $30^o$ . Let $X$ be the foot of the perpendicular from $A$ onto $BC$ , and $Y$ the foot of the perpendicular from $C$ to $AB$ . If $AX = 20$ and $CY = 22$ , find the area of the parallelogram.\n",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are ___ different ways to assign 3 te... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 3333,
"question": "There are ___ different ways to assign 3 teachers to teach in 6 classes, with each teacher teaching 2 distinct classes.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a right triangle \\( \\triangle ABC \\),... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 3334,
"question": "In a right triangle \\( \\triangle ABC \\), the lengths of the two legs are 5 and 12. Two arcs are drawn with centers at points \\( A \\) and \\( B \\) and radii 12 and 5, respectively. These arcs intersect the hypotenuse at points \\( M \\) and \\( N \\). Calculate the length of the segment \\( MN \\). Express your answer as a single number.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Graph Theory -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A street sweeper starts from point $A$ and ... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 3335,
"question": "A street sweeper starts from point $A$ and travels through all the streets exactly once before returning to point $A$. How many different routes can the street sweeper take?",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given points C and D on segment AB, where M... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 3336,
"question": "Given points C and D on segment AB, where M and N are the midpoints of AC and DB respectively, and given that AB = 10 and CD = 2, calculate the length of MN. Express your answer as a whole number.",
"split": "train"
} |
orca_math | [
"Mathematics -> Geometry -> Plane Geometry -> Circles"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A landowner needs to fence his land which i... | math | {
"ground_truth": "73",
"style": "rule"
} | {
"answer": "73",
"index": 3337,
"question": "A landowner needs to fence his land which is shaped like a rectangle combined with a semicircle at one of the shorter sides, leaving an opening of length 3 m for access. The dimensions of the rectangular part are 20 meters long and 14 meters wide, with the semicircle having a radius of 7 meters. What is the total length of the fence in meters, considering the most efficient fencing arrangement for the land?",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n As shown in the figure, \\( C \\) and \\( D... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 3338,
"question": "As shown in the figure, \\( C \\) and \\( D \\) are two points on segment \\( AB \\), and \\( M \\) and \\( N \\) are the midpoints of \\( AC \\) and \\( DB \\) respectively. If \\( AB = 10 \\) and \\( CD = 2 \\), then find the length of \\( MN \\). Express your answer as a whole number.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Danny is bringing his sailboat out to the o... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 3339,
"question": "Danny is bringing his sailboat out to the ocean. When he uses his 24 square foot sail, he goes at a speed determined by the wind speed (w). His speed with the larger sail is 50w MPH. Similarly, when he uses his 12 square foot sail, his speed is 20w MPH. The wind speed is expected to increase linearly throughout the day, starting with no wind in the morning (w=0) and reaching a maximum wind speed of 1 by the end of the day.\n\nDuring a 10-hour sailing period, Danny must decide which sail to use and plans to travel a total distance of 200 miles. How many hours faster can he complete the journey with the larger sail compared to the smaller sail, given the increasing wind speed throughout the day?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Statistics -> Probability"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are two fair dice and their sides are... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 3340,
"question": "There are two fair dice and their sides are positive integers \\( a_{1}, \\ldots, a_{6} \\) and \\( b_{1}, \\ldots, b_{6} \\), respectively. After throwing them, the probability of getting a sum of \\( 2, 3, 4, \\ldots, 12 \\) respectively is the same as that of throwing two normal fair dice. Suppose that \\( a_{1}+\\cdots+a_{6} < b_{1}+\\cdots+b_{6} \\). What is \\( a_{1}+\\cdots+a_{6} \\)?",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In an $8 \\times 8$ frame with a width of 2... | math | {
"ground_truth": "2016",
"style": "rule"
} | {
"answer": "2016",
"index": 3341,
"question": "In an $8 \\times 8$ frame with a width of 2 cells (as shown in the figure) there are a total of 48 cells. How many cells are there in a $254 \\times 254$ frame with a width of 2 cells?",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n From the sequence \\( 1, 4, 7, 10, 13, \\cd... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"answer": "13",
"index": 3342,
"question": "From the sequence \\( 1, 4, 7, 10, 13, \\cdots \\), select seven consecutive numbers such that their sum is a multiple of 11. What is the smallest possible value of the smallest number among the selected seven numbers?",
"split": "train"
} |
big_math | [
"Mathematics -> Discrete Mathematics -> Graph Theory"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the smallest possible value of n such ... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 3343,
"question": "Find the smallest possible value of n such that there are n distinct lines in the plane, one of which intersects exactly 5 of the n lines, another intersects exactly 9 of the n lines, and yet another intersects exactly 11 of the n lines.",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let \\( S = \\{1, 2, \\cdots, 98\\} \\). Fi... | math | {
"ground_truth": "50",
"style": "rule"
} | {
"answer": "50",
"index": 3344,
"question": "Let \\( S = \\{1, 2, \\cdots, 98\\} \\). Find the smallest positive integer \\( n \\) such that, in any subset of \\( S \\) with \\( n \\) elements, it is always possible to select 10 numbers, and no matter how these 10 numbers are evenly divided into two groups, there will always be one number in one group that is relatively prime to the other 4 numbers in the same group, and one number in the other group that is not relatively prime to the other 4 numbers in that group.",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 3 weights of 1 gram, 3 weights of... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 3345,
"question": "There are 3 weights of 1 gram, 3 weights of 2 grams, and 1 weight of 5 grams. Weights can only be added to one side of the scale. How many different ways are there to weigh an object of 9 grams? Express your answer as a single integer.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a class at school, all students are the ... | math | {
"ground_truth": "37",
"style": "rule"
} | {
"answer": "37",
"index": 3346,
"question": "In a class at school, all students are the same age, except seven of them who are 1 year younger and two of them who are 2 years older. The sum of the ages of all the students in this class is 330. How many students are in this class?",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Other"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find a four-digit number with a digit sum o... | math | {
"ground_truth": "6200",
"style": "rule"
} | {
"answer": "6200",
"index": 3347,
"question": "Find a four-digit number with a digit sum of 8, where the first digit from the left is obtained by multiplying the second digit by 3, and the fourth digit is obtained by multiplying the third digit by 4.",
"split": "train"
} |
big_math | [
"Mathematics -> Precalculus -> Trigonometric Functions"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Evaluate the expression $\\sin 47^{\\circ}\... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 3348,
"question": "Evaluate the expression $\\sin 47^{\\circ}\\cos 43^{\\circ} + \\sin 137^{\\circ}\\sin 43^{\\circ}$. Provide your answer as a numerical value.",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let \\( S_{n} = 1 + 2 + \\cdots + n \\). Ho... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 3349,
"question": "Let \\( S_{n} = 1 + 2 + \\cdots + n \\). How many of \\( S_{1}, S_{2}, \\cdots, S_{2015} \\) are multiples of 2015?\n",
"split": "train"
} |
omnimath | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Dizzy Daisy is standing on the point $(0,0)... | math | {
"ground_truth": "131922",
"style": "rule"
} | {
"answer": "131922",
"index": 3350,
"question": "Dizzy Daisy is standing on the point $(0,0)$ on the $xy$-plane and is trying to get to the point $(6,6)$. She starts facing rightward and takes a step 1 unit forward. On each subsequent second, she either takes a step 1 unit forward or turns 90 degrees counterclockwise then takes a step 1 unit forward. She may never go on a point outside the square defined by $|x| \\leq 6,|y| \\leq 6$, nor may she ever go on the same point twice. How many different paths may Daisy take?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a chess tournament, two 7th-grade studen... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 3351,
"question": "In a chess tournament, two 7th-grade students and some number of 8th-grade students participated. Each participant played against every other participant exactly once. The two 7th-grade students together scored 8 points, and all the 8th-grade students scored the same number of points (in the tournament, each participant receives 1 point for a win, and $1/2$ point for a draw). How many 8th-grade students participated in the tournament?",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n On the extension of side $AC$ of triangle $... | math | {
"ground_truth": "420",
"style": "rule"
} | {
"answer": "420",
"index": 3352,
"question": "On the extension of side $AC$ of triangle $ABC$, a point $T$ is marked beyond point $A$ such that $\\angle BAC = 2 \\angle BTC$. Find the area of triangle $ABC$, given that $AB = AC$, $BT = 42$, and $AT = 29$.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A man buys some liters of liquid which cont... | math | {
"ground_truth": "100",
"style": "rule"
} | {
"answer": "100",
"index": 3353,
"question": "A man buys some liters of liquid which contains 25% of the liquid and the rest is water. He then mixes it with 90 liters of another mixture with 30% of liquid. The percentage of water in the new mixture is 72.63157894736842%. How many liters of the first liquid did he buy?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Non-Euclidean Geometry -> Hyperbolic Geometry"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The length of the chord where the asymptote... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 3354,
"question": "The length of the chord where the asymptotes of the hyperbola $x^2 - y^2 = 1$ intersect the circle $x^2 + y^2 - 6x - 2y + 1 = 0$ is ___.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 13 students in all. Hoseok stands... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 3355,
"question": "There are 13 students in all. Hoseok stands 9th from the right and Minyoung stands 8th from the left. Find how many people are in between Hoseok and Minyoung.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given a periodic sequence $\\{x_n\\}$ such ... | math | {
"ground_truth": "1339",
"style": "rule"
} | {
"answer": "1339",
"index": 3356,
"question": "Given a periodic sequence $\\{x_n\\}$ such that $x_n = |x_{n-1} - x_{n-2}|$ for $n \\geq 3$, and $x_1 = 1$, $x_2 = a \\geq 0$, find the sum of the first 2008 terms of the sequence when the period of the sequence is minimized.\n",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n What code will be produced for this message... | math | {
"ground_truth": "211221121",
"style": "rule"
} | {
"answer": "211221121",
"index": 3357,
"question": "What code will be produced for this message in the new encoding where the letter А is replaced by 21, the letter Б by 122, and the letter В by 1?",
"split": "train"
} |
orca_math | [
"Mathematics -> Algebra -> Algebraic Expressions"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If the function q is defined by the formula... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 3358,
"question": "If the function q is defined by the formula q = 5e / (4x(z^2)), and e is quadrupled, z is tripled, and q is multiplied by a factor of 0.2222222222222222, by what factor was x changed?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A farmer estimates that he will harvest 480... | math | {
"ground_truth": "48781",
"style": "rule"
} | {
"answer": "48781",
"index": 3359,
"question": "A farmer estimates that he will harvest 48097 bushels of wheat. The weather is perfect during the growing season, so he harvests 684 bushels of wheat more than expected. How many bushels of wheat did the farmer harvest?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n David and Brenda are playing Scrabble. In t... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 3360,
"question": "David and Brenda are playing Scrabble. In the first turn, Brenda scores 18 points, and David scores 10 points. In the second turn, Brenda scores 25 points and David scores 35 points. In the third turn, Brenda is ahead by 22 points when she makes a 15-point play. David responds with a 32-point play. By how many points is Brenda now ahead?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A mobile battery in 1 hour charges to 20 pe... | math | {
"ground_truth": "255",
"style": "rule"
} | {
"answer": "255",
"index": 3361,
"question": "A mobile battery in 1 hour charges to 20 percent. How much time (in minutes) will it require more to charge to a certain percentage if it takes 195 more minutes to reach that percentage?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n What is the average of the first 12 even nu... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"index": 3362,
"question": "What is the average of the first 12 even numbers, including both positive and negative even numbers in the sequence?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A bicycle, a bicycle helmet, and a bicycle ... | math | {
"ground_truth": "480",
"style": "rule"
} | {
"answer": "480",
"index": 3363,
"question": "A bicycle, a bicycle helmet, and a bicycle lock cost 480 dollars. How much did each cost, if the bicycle cost 5 times as much as the helmet, the lock cost half as much as the helmet, and the lock also represents 10% of the total cost?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Prealgebra -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Please write down a rational number that is... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"index": 3364,
"question": "Please write down a rational number that is smaller than $-\\frac{1}{2}$: ______. (Write down one number)",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n He bought some flowers for the city's Orpha... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"answer": "40",
"index": 3365,
"question": "He bought some flowers for the city's Orphanage for Young Girls. He bought 40 pieces of lilies, sunflowers, and daisies, and the orphanage received 160 flowers. How many pieces of roses did he buy?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> Combinations"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n To celebrate the arrival of the new year, t... | math | {
"ground_truth": "660",
"style": "rule"
} | {
"answer": "660",
"index": 3366,
"question": "To celebrate the arrival of the new year, the \"Shadow Play\" club of a certain school plans to form a 4-person representative team to participate in the city-level \"Shadow Play\" competition, consisting of 6 male students and 2 female students. The team will have one captain, one vice-captain, and two other members. If it is required that there is at least one female student in the representative team, there are _______ possible ways.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Graph Theory"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n We consider 2018 lines on the plane, each p... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 3367,
"question": "We consider 2018 lines on the plane, each pair of which are not parallel and no three of which are concurrent. Let $E$ be the set of their intersection points. We wish to assign a color to each point in $E$ such that any two points on the same line, whose connecting segment does not contain any other point from $E$, have different colors.\n\nHow many colors are needed at minimum to achieve such a coloring?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Evan owns 80 fewer books than the number he... | math | {
"ground_truth": "1080",
"style": "rule"
} | {
"answer": "1080",
"index": 3368,
"question": "Evan owns 80 fewer books than the number he had 4 years ago. He gave away half of his books 2 years ago. Evan will have 120 more than six times as many books as he owns now in ten years. If Evan had 400 books four years ago, calculate the total number of books he will have in ten years.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A hiker walking at a constant rate of 6 mil... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 3369,
"question": "A hiker walking at a constant rate of 6 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at a certain speed. The motor-cyclist stops to wait for the hiker 12 minutes after passing her, while the hiker continues to walk at her constant rate. The motor-cyclist must wait 48 minutes until the hiker catches up. What is the motor-cyclist's speed in miles per hour?",
"split": "train"
} |
aops_forum | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the number of ways to color $n \\time... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 3370,
"question": "Find the number of ways to color $n \\times m$ board with white and black\ncolors such that any $2 \\times 2$ square contains the same number of black and white cells.",
"split": "train"
} |
big_math | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If $m$ and $n$ are non-negative integers, a... | math | {
"ground_truth": "300",
"style": "rule"
} | {
"answer": "300",
"index": 3371,
"question": "If $m$ and $n$ are non-negative integers, and when adding $m+n$ there is no carry in any digit (for example, $134+3802=3936$), then the ordered pair $(m, n)$ is called \"simple\", and the sum $m+n$ is called the value of the ordered pair $(m, n)$. How many \"simple\" ordered pairs are there whose value is $1942$? Express your answer as a single integer.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Linear Algebra -> Vectors"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If $\\overrightarrow{e_{1}}$ and $\\overrig... | math | {
"ground_truth": "-8",
"style": "rule"
} | {
"answer": "-8",
"index": 3372,
"question": "If $\\overrightarrow{e_{1}}$ and $\\overrightarrow{e_{2}}$ are two non-collinear vectors, given that $\\overrightarrow{AB}=2 \\overrightarrow{e_{1}}+k \\overrightarrow{e_{2}}$, $\\overrightarrow{CB}= \\overrightarrow{e_{1}}+3 \\overrightarrow{e_{2}}$, $\\overrightarrow{CD}=2 \\overrightarrow{e_{1}}- \\overrightarrow{e_{2}}$, and points $A$, $B$, $D$ are collinear, then $k=$ \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the polar equation of curve $C$ is $\... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 3373,
"question": "Given the polar equation of curve $C$ is $\\rho=4\\sin \\theta$. If we establish a Cartesian coordinate system with the pole as the origin and the positive half-axis of the polar axis as the $x$-axis, and the parametric equation of line $l$ is $\\begin{cases} x=2\\cdot t \\\\ y= \\sqrt {3}\\cdot t+2\\end{cases}$ (where $t$ is the parameter), then the length of the segment cut off by curve $C$ on line $l$ is ______.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n With the same portion of the same gas, a pr... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 3374,
"question": "With the same portion of the same gas, a process was performed twice, during which the temperature of the gas is directly proportional to the square of its volume. Find the ratio of the works done by the gas in these processes.",
"split": "train"
} |
omnimath | [
"Mathematics -> Algebra -> Equations and Inequalities"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If $x$ and $y$ are integers with $2x^{2}+8y... | math | {
"ground_truth": "26",
"style": "rule"
} | {
"answer": "26",
"index": 3375,
"question": "If $x$ and $y$ are integers with $2x^{2}+8y=26$, what is a possible value of $x-y$?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 5 different types of books, with ... | math | {
"ground_truth": "125",
"style": "rule"
} | {
"answer": "125",
"index": 3376,
"question": "There are 5 different types of books, with at least 3 copies of each. If we want to buy 3 books to gift to 3 students, with each student receiving one book, how many different ways are there to do this?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n a man walking at a constant rate of 5 miles... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"answer": "25",
"index": 3377,
"question": "a man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 25 miles per hour . the woman stops to wait for the man 5 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The sum of the first thirteen terms of an a... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 3378,
"question": "The sum of the first thirteen terms of an arithmetic progression is $50\\%$ of the sum of the last thirteen terms of this progression. The sum of all terms of this progression, excluding the first three terms, is related to the sum of all terms, excluding the last three terms, by a ratio of $6:5$. Find the number of terms in this progression.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Chance boarded a plane departing from Londo... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 3379,
"question": "Chance boarded a plane departing from London to New York at 6:00 a.m. ET on Monday. His flight included a 3-hour layover in Dublin. He arrived in New York 18 hours after leaving London, taking into account the layover. If he took another plane flying to Cape Town the day he arrived in New York, but had a 4-hour layover in Johannesburg before continuing to Cape Town, and finally arrived in Cape Town at 10:00 a.m. ET on Tuesday, calculate the number of hours his flight took from New York to Cape Town, including the layover.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In triangle \\( \\triangle ABC \\), the rat... | math | {
"ground_truth": "120",
"style": "rule"
} | {
"answer": "120",
"index": 3380,
"question": "In triangle \\( \\triangle ABC \\), the ratio \\( (\\sin B + \\sin C) : (\\sin C + \\sin A) : (\\sin A + \\sin B) = 4 : 5 : 6 \\). Find the degree measure of the largest angle in the triangle. Express your answer in degrees as a numerical value.",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Linear Algebra -> Determinants"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let \\( A = \\left( a_{ij} \\right) \\) be ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 3381,
"question": "Let \\( A = \\left( a_{ij} \\right) \\) be the \\( n \\times n \\) matrix, where \\( a_{ij} \\) is the remainder of the division of \\( i^j + j^i \\) by 3 for \\( i, j = 1, 2, \\ldots, n \\). Find the greatest \\( n \\) for which \\(\\operatorname{det} A \\ne 0\\).",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Discrete Mathematics -> Sequences and Series"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the sequence 2004, 2005, 1, -2004, -2... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"answer": "0",
"index": 3382,
"question": "Given the sequence 2004, 2005, 1, -2004, -2005, …, the characteristic of this sequence is that starting from the second term, each term is equal to the sum of its preceding and following terms. Find the sum of the first 2010 terms of this sequence, denoted as $S_{2010}$.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Permutations"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n the security gate at a storage facility req... | math | {
"ground_truth": "360",
"style": "rule"
} | {
"answer": "360",
"index": 3383,
"question": "the security gate at a storage facility requires a 4 - digit lock code . if the lock code must consist only of digits from 1 through 7 , inclusive , with no repeated digits , and the first and last digits of the code must be odd , how many lock codes are possible ?",
"split": "train"
} |
big_math | [
"Mathematics -> Number Theory -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let \\(a\\) be a positive integer less than... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 3384,
"question": "Let \\(a\\) be a positive integer less than 100. If \\(a^{3}+23\\) is divisible by 24, how many such values of \\(a\\) are there? Express your answer as a whole number.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A school originally had a certain number of... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 3385,
"question": "A school originally had a certain number of classrooms, each with the same number of desks, totaling 539 desks. After adding 9 new classrooms, the total number of desks increased to 1080, and the number of desks in each classroom still remained equal but increased. How many classrooms are there now?",
"split": "train"
} |
omnimath | [
"Mathematics -> Number Theory -> Factorization"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The largest prime factor of 101101101101 is... | math | {
"ground_truth": "9901",
"style": "rule"
} | {
"answer": "9901",
"index": 3386,
"question": "The largest prime factor of 101101101101 is a four-digit number $N$. Compute $N$.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A binary string of length \\( n \\) is a se... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 3387,
"question": "A binary string of length \\( n \\) is a sequence of \\( n \\) digits, each of which is 0 or 1. The distance between two binary strings of the same length is the number of positions in which they disagree; for example, the distance between the strings 01101011 and 00101110 is 3 since they differ in the second, sixth, and eighth positions.\nFind as many binary strings of length 8 as you can, such that the distance between any two of them is at least 3. You get one point per string.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Each of the first $150$ positive integers... | math | {
"ground_truth": "101",
"style": "rule"
} | {
"answer": "101",
"index": 3388,
"question": "Each of the first $150$ positive integers is painted on a different marble, and the $150$ marbles are placed in a bag. If $n$ marbles are chosen (without replacement) from the bag, what is the smallest value of $n$ such that we are guaranteed to choose three marbles with consecutive numbers?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A convex polygon has a segment drawn throug... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 3389,
"question": "A convex polygon has a segment drawn through a point on each of two adjacent sides (but not at the vertices), forming another polygon whose sum of interior angles is 2520°. What is the number of sides of the original polygon?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let $\\{a\\_n\\}$ be a geometric sequence w... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"answer": "18",
"index": 3390,
"question": "Let $\\{a\\_n\\}$ be a geometric sequence with a common ratio $q > 1$. If $a_{2016}$ and $a_{2017}$ are the roots of the equation $4x^2-8x+3=0$, then $a_{2018}+a_{2019}=$ \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let $f(x)= | x^2 - 2x - 3|$, determine the ... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 3391,
"question": "Let $f(x)= | x^2 - 2x - 3|$, determine the number of solutions to the equation $f^3 (x) - 4 f^2(x) - f(x) + 4 = 0$.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a plane Cartesian coordinate system, a l... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 3392,
"question": "In a plane Cartesian coordinate system, a lattice point is a point with integer coordinates. Determine the number of lattice points (x, y) that satisfy the inequality (|x|-1)^2 + (|y|-1)^2 < 2. Express your answer as a single integer.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Circles"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the circle $O$, diameter $AB$ is perpend... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 3393,
"question": "In the circle $O$, diameter $AB$ is perpendicular to chord $CD$ at point $E$, and $EF$ is perpendicular to $DB$ at point $F$. If $AB = 6$ and $AE = 1$, then $DF \\cdot DB = \\boxed{\\text{\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_}}$.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Vanya goes to the swimming pool every Wedne... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 3394,
"question": "Vanya goes to the swimming pool every Wednesday and Friday. After his latest visit, he noticed that he had already gone 10 times this month. What will be the date of his third visit next month if he continues going on Wednesdays and Fridays?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Calculus -> Differential Calculus -> Applications of Derivatives"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The maximum value of the function $f(x) = 1... | math | {
"ground_truth": "-5",
"style": "rule"
} | {
"answer": "-5",
"index": 3395,
"question": "The maximum value of the function $f(x) = 1 + \\lg x + \\frac{9}{\\lg x}$ ($0 < x < 1$) is \\_\\_\\_\\_\\_.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Algebra -> Equations and Inequalities"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Suppose that three prime numbers $p,q,$ a... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"answer": "25",
"index": 3396,
"question": "Suppose that three prime numbers $p,q,$ and $r$ satisfy the equations $pq + qr + rp = 191$ and $p + q = r - 1$ . Find $p + q + r$ .",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Solid Geometry -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n How many planes are equidistant from four p... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 3397,
"question": "How many planes are equidistant from four points that do not lie in the same plane?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Tolya made four tokens for a game with valu... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 3398,
"question": "Tolya made four tokens for a game with values of $1, 2, 3, 5$ bokins, which should weigh $1, 2, 3, 5$ grams respectively. However, one of these tokens was made incorrectly - with the wrong weight. How can you determine the \"faulty\" token using a balance scale in just two weighings, without any additional weights?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Number Theory -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n On the beach, there was a pile of apples be... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"answer": "25",
"index": 3399,
"question": "On the beach, there was a pile of apples belonging to 3 monkeys. The first monkey came, divided the apples into 3 equal piles with 1 apple remaining, then it threw the remaining apple into the sea and took one pile for itself. The second monkey came, divided the remaining apples into 3 equal piles with 1 apple remaining again, it also threw the remaining apple into the sea and took one pile. The third monkey did the same. How many apples were there originally at least?",
"split": "train"
} |
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