data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|
DeepScaleR | [
{
"role": "user",
"content": "With all angles measured in degrees, determine the value of $\\prod_{k=1}^{30} \\csc^2(3k)^\\circ \\sec^2 (6k)^\\circ = p^q$, where $p$ and $q$ are integers greater than 1. Find $p+q$."
}
] | math | {
"style": "rule",
"ground_truth": "62"
} | {
"index": 38900,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "With all angles measured in degrees, the product $\\prod_{k=1}^{22} \\sec^2(4k)^\\circ=p^q$, where $p$ and $q$ are integers greater than 1. Find the value of $p+q$."
}
] | math | {
"style": "rule",
"ground_truth": "46"
} | {
"index": 38901,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "With all angles measured in degrees, the product $\\prod_{k=1}^{45} \\csc^2(2k-1)^\\circ=m^n$, where $m$ and $n$ are integers greater than 1. Find $m+n$."
}
] | math | {
"style": "rule",
"ground_truth": "91"
} | {
"index": 38902,
"solution": "Let $p=\\sin1\\sin3\\sin5...\\sin89$\n\\[p=\\sqrt{\\sin1\\sin3\\sin5...\\sin177\\sin179}\\]\n\\[=\\sqrt{\\frac{\\sin1\\sin2\\sin3\\sin4...\\sin177\\sin178\\sin179}{\\sin2\\sin4\\sin6\\sin8...\\sin176\\sin178}}\\]\n\\[=\\sqrt{\\frac{\\sin1\\sin2\\sin3\\sin4...\\sin177\\sin178\\sin179}{... |
DeepScaleR | [
{
"role": "user",
"content": "With four standard six-sided dice in play, Vivian rolls all four and can choose to reroll any subset of them. To win, Vivian needs the sum of the four dice after possibly rerolling some of them to be exactly 12. Vivian plays optimally to maximize her chances of winning. What is... | math | {
"style": "rule",
"ground_truth": "\\frac{1}{8}"
} | {
"index": 38903,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "With square tiles of a side length of an exact number of units, a room with a surface area of 18,144 square units has been tiled in the following manner: on the first day one tile was placed, the second day two tiles, the third day three tiles, and so on. How many tiles were ne... | math | {
"style": "rule",
"ground_truth": "2016"
} | {
"index": 38904,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "With the popularity of cars, the \"driver's license\" has become one of the essential documents for modern people. If someone signs up for a driver's license exam, they need to pass four subjects to successfully obtain the license, with subject two being the field test. In each... | math | {
"style": "rule",
"ground_truth": "\\frac{1}{9}"
} | {
"index": 38905,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "With the rapid development of the \"Internet + transportation\" model, \"shared bicycles\" have appeared successively in many cities. In order to understand the satisfaction of users in a certain area with the services provided, a certain operating company randomly surveyed 10 ... | math | {
"style": "rule",
"ground_truth": "50\\%"
} | {
"index": 38906,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "With the same amount of a monoatomic ideal gas, two cyclic processes $1-2-3-4-1$ and $1-3-4-1$ are carried out. Find the ratio of their efficiencies."
}
] | math | {
"style": "rule",
"ground_truth": "18/13"
} | {
"index": 38907,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Within a cube with edge length 6, there is a regular tetrahedron with edge length \\( x \\) that can rotate freely inside the cube. What is the maximum value of \\( x \\)?"
}
] | math | {
"style": "rule",
"ground_truth": "2\\sqrt{6}"
} | {
"index": 38908,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Within a triangular piece of paper, there are 100 points, along with the 3 vertices of the triangle, making it a total of 103 points, and no three of these points are collinear. If these points are used as vertices to create triangles, and the paper is cut into small triangles,... | math | {
"style": "rule",
"ground_truth": "201"
} | {
"index": 38909,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Within the range of 0° to 360°, find the angle(s) with the same terminal side as -120°."
}
] | math | {
"style": "rule",
"ground_truth": "240"
} | {
"index": 38910,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Without using a calculator, compute $1003^2-997^2-1001^2+999^2$."
}
] | math | {
"style": "rule",
"ground_truth": "8000"
} | {
"index": 38911,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Without using a calculator, find the largest prime factor of $15^4+2\\times15^2+1-14^4$."
}
] | math | {
"style": "rule",
"ground_truth": "211"
} | {
"index": 38912,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Without using a calculator, find the largest prime factor of $17^4 + 2 \\times 17^2 + 1 - 16^4$."
}
] | math | {
"style": "rule",
"ground_truth": "17"
} | {
"index": 38913,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Without using a calculator, find the largest prime factor of \\( 17^4 + 2 \\times 17^2 + 1 - 16^4 \\)."
}
] | math | {
"style": "rule",
"ground_truth": "17"
} | {
"index": 38914,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Without using any measuring tools or other auxiliary means, how can you cut exactly half a meter from a piece of cloth that is $\\frac{8}{15}$ meters long?"
}
] | math | {
"style": "rule",
"ground_truth": "1/2"
} | {
"index": 38915,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Without using any tables, find the exact value of the product:\n\\[ P = \\cos \\frac{\\pi}{15} \\cos \\frac{2\\pi}{15} \\cos \\frac{3\\pi}{15} \\cos \\frac{4\\pi}{15} \\cos \\frac{5\\pi}{15} \\cos \\frac{6\\pi}{15} \\cos \\frac{7\\pi}{15}. \\]"
}
] | math | {
"style": "rule",
"ground_truth": "1/128"
} | {
"index": 38916,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Working 22 hours in the second week of June, Xenia was able to earn $\\$$47.60 more than during the first week of June when she worked 15 hours. If her hourly wage was constant, how many dollars did she earn during the first two weeks of June? Express your answer to the nearest... | math | {
"style": "rule",
"ground_truth": "\\$ 251.60"
} | {
"index": 38917,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Workshop A and Workshop B together have 360 workers. The number of workers in Workshop A is three times that of Workshop B. How many workers are there in each workshop?"
}
] | math | {
"style": "rule",
"ground_truth": "270"
} | {
"index": 38918,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $2017$ following numbers on the blackboard: $-\\frac{1008}{1008}, -\\frac{1007}{1008}, ..., -\\frac{1}{1008}, 0,\\frac{1}{1008},\\frac{2}{1008}, ... ,\\frac{1007}{1008},\\frac{1008}{1008}$ .\nOne processes some steps as: erase two arbitrary numbers $x, y$ on the bla... | math | {
"style": "rule",
"ground_truth": "$-\\frac{144}{1008}$"
} | {
"index": 38919,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $(-5)^5\\div5^3+3^{4}-6^{1}$ as an integer."
}
] | math | {
"style": "rule",
"ground_truth": "50"
} | {
"index": 38920,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $-\\left(-3\\right)-4+\\left(-5\\right)$ in the form of algebraic sum without parentheses."
}
] | math | {
"style": "rule",
"ground_truth": "3-4-5"
} | {
"index": 38921,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $0.\\overline{43}$ as a simplified fraction."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{43}{99}"
} | {
"index": 38922,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $4.3+3.88$ as a decimal."
}
] | math | {
"style": "rule",
"ground_truth": "8.18"
} | {
"index": 38923,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $\\frac{5}{8}$ as a decimal."
}
] | math | {
"style": "rule",
"ground_truth": "0.625"
} | {
"index": 38924,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $\\mathbf{2012}$ as the sum of $N$ distinct positive integers, where $N$ is at its maximum. What is the maximum value of $N$?"
}
] | math | {
"style": "rule",
"ground_truth": "62"
} | {
"index": 38925,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $\\sqrt{\\frac{16}{25}+\\frac{9}{4}}$ as a common fraction."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{17}{10}"
} | {
"index": 38926,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write $x^{10} + x^5 + 1$ as the product of two polynomials with integer coefficients."
}
] | math | {
"style": "rule",
"ground_truth": "(x^2 + x + 1)(x^8 - x^7 + x^5 - x^4 + x^3 - x + 1)"
} | {
"index": 38927,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write 1 as a sum of 4 distinct unit fractions."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{1}{2}+\\frac{1}{3}+\\frac{1}{7}+\\frac{1}{42}"
} | {
"index": 38928,
"solution": "$\\frac{1}{2}+\\frac{1}{3}+\\frac{1}{7}+\\frac{1}{42}$"
} |
DeepScaleR | [
{
"role": "user",
"content": "Write 2.24 as a simplified fraction."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{56}{25}"
} | {
"index": 38929,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write 22 as the sum of several distinct natural numbers so that the product of these numbers is maximized. The maximum product is \\_\\_\\_\\_\\_\\_."
}
] | math | {
"style": "rule",
"ground_truth": "1008"
} | {
"index": 38930,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write a twelve-digit number that is not a perfect cube."
}
] | math | {
"style": "rule",
"ground_truth": "100000000000"
} | {
"index": 38931,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write any natural number on a piece of paper, and rotate the paper 180 degrees. If the value remains the same, such as $0$, $11$, $96$, $888$, etc., we call such numbers \"神马数\" (magical numbers). Among all five-digit numbers, how many different \"magical numbers\" are there?"
... | math | {
"style": "rule",
"ground_truth": "60"
} | {
"index": 38932,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write in ascending order the multiples of 3 which, when 1 is added, are perfect squares, i.e., $3, 15, 24, 48, \\ldots$ What is the multiple of 3 in the $2006^{\\mathrm{th}}$ position?"
}
] | math | {
"style": "rule",
"ground_truth": "9060099"
} | {
"index": 38933,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the digits from 0 to 9 in a line, in any order you choose. On the line below, combine the neighboring digits to form nine new numbers, and sum these numbers as in the example below:\n\n| 2 | | 1 | | 3 | | 7 | | 4 | | 9 | | 5 | | 8 | | 0 | | 6 |\n| :--- | :--- | :... | math | {
"style": "rule",
"ground_truth": "494"
} | {
"index": 38934,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the expression\n\n$$\nK=\\frac{\\frac{1}{a+b}-\\frac{2}{b+c}+\\frac{1}{c+a}}{\\frac{1}{b-a}-\\frac{2}{b+c}+\\frac{1}{c-a}}+\\frac{\\frac{1}{b+c}-\\frac{2}{c+a}+\\frac{1}{a+b}}{\\frac{1}{c-b}-\\frac{2}{c+a}+\\frac{1}{a-b}}+\\frac{\\frac{1}{c+a}-\\frac{2}{a+b}+\\frac{1}{b+c... | math | {
"style": "rule",
"ground_truth": "0.0625"
} | {
"index": 38935,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the expression $\\frac{4+3c}{7}+2$ as a single fraction."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{18+3c}{7}"
} | {
"index": 38936,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the following expression as a polynomial: $$(2x^2+3x+7)(x+1)-(x+1)(x^2+4x-63)+(3x-14)(x+1)(x+5).$$"
}
] | math | {
"style": "rule",
"ground_truth": "4x^3+4x^2"
} | {
"index": 38937,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the four numbers \\(1, 9, 8, 8\\) in a row and perform the following operation: for each pair of adjacent numbers, subtract the left number from the right number, then write the difference between these two numbers in between them. This completes one operation. Then, perf... | math | {
"style": "rule",
"ground_truth": "726"
} | {
"index": 38938,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the number 2013 several times in a row so that the resulting number is divisible by 9. Explain the answer."
}
] | math | {
"style": "rule",
"ground_truth": "201320132013"
} | {
"index": 38939,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the number in the form of a fraction (if possible):\n\n$$\nx=0.5123412341234123412341234123412341234 \\ldots\n$$\n\nCan you generalize this method to all real numbers with a periodic decimal expansion? And conversely?"
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{51229}{99990}"
} | {
"index": 38940,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the numbers $0, 1, 2, 3, 4, 5, 6, 7$ on the eight vertices of a cube (each vertex has one number, and all numbers must be used once), such that the sum of the two numbers on each edge is a prime number. Then, find the maximum sum of the four numbers on one face of the cub... | math | {
"style": "rule",
"ground_truth": "18"
} | {
"index": 38941,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the process of using the Horner's algorithm to find the value of the function $\\_(f)\\_()=1+\\_x+0.5x^2+0.16667x^3+0.04167x^4+0.00833x^5$ at $x=-0.2$."
}
] | math | {
"style": "rule",
"ground_truth": "0.81873"
} | {
"index": 38942,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Write the product of the digits of each natural number from 1 to 2018 (for example, the product of the digits of the number 5 is 5; the product of the digits of the number 72 is \\(7 \\times 2=14\\); the product of the digits of the number 607 is \\(6 \\times 0 \\times 7=0\\), ... | math | {
"style": "rule",
"ground_truth": "184320"
} | {
"index": 38943,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "X is the point (1994p, 7·1994p), where p is a prime, and O is the point (0, 0). How many triangles XYZ have Y and Z at lattice points, incenter at O, and YXZ as a right-angle?"
}
] | math | {
"style": "rule",
"ground_truth": "36"
} | {
"index": 38944,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xanthia buys hot dogs that come in packages of six, and she buys hot dog buns that come in packages of eight. What is the smallest number of hot dog packages she can buy in order to be able to buy an equal number of hot dogs and hot dog buns?"
}
] | math | {
"style": "rule",
"ground_truth": "4"
} | {
"index": 38945,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225 pages, how many more minutes than Xanthia would it take for Molly to finish reading the book?"
}
] | math | {
"style": "rule",
"ground_truth": "135"
} | {
"index": 38946,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Gang goes to buy milk and finds that it's on special offer that day: each bag costs 2.5 yuan, and there is a \"buy two, get one free\" promotion. Xiao Gang has 30 yuan. What is the maximum number of bags of milk he can buy?"
}
] | math | {
"style": "rule",
"ground_truth": "18"
} | {
"index": 38947,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Hong asked Da Bai: \"Please help me calculate the result of $999 \\quad 9 \\times 999 \\quad 9$ and determine how many zeros appear in it.\"\n2019 nines times 2019 nines\nDa Bai quickly wrote a program to compute it. Xiao Hong laughed and said: \"You don't need to compute ... | math | {
"style": "rule",
"ground_truth": "2018"
} | {
"index": 38948,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Hua needs to attend an event at the Youth Palace at 2 PM, but his watch gains 4 minutes every hour. He reset his watch at 10 AM. When Xiao Hua arrives at the Youth Palace according to his watch at 2 PM, how many minutes early is he actually?"
}
] | math | {
"style": "rule",
"ground_truth": "16"
} | {
"index": 38949,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Hua plays a certain game where each round can be played several times freely. Each score in a round is one of the numbers $8$, $a$ (a natural number), or $0$. The total score for a round is the sum of all individual scores in that round. Xiao Hua has achieved the following... | math | {
"style": "rule",
"ground_truth": "13"
} | {
"index": 38950,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Jun is playing a dice game. He starts at the starting square. If he rolls a 1 to 5, he moves forward by the number of spaces shown on the dice. If he rolls a 6 or moves beyond the final square at any time, he must immediately return to the starting square. How many possibl... | math | {
"style": "rule",
"ground_truth": "19"
} | {
"index": 38951,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Kang exercises every day by doing several sets of push-ups, 8 per set, and several sets of pull-ups, 5 per set. On the first day, he did a total of 41 reps (combining both exercises), and he increases the number by 1 each day until the 100th day. If the number of sets of p... | math | {
"style": "rule",
"ground_truth": "106"
} | {
"index": 38952,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Li and Xiao Hua are racing up the stairs. When Xiao Li reaches the 5th floor, Xiao Hua has reached the 3rd floor. At this rate, how many floors will Xiao Hua have reached when Xiao Li reaches the 25th floor?"
}
] | math | {
"style": "rule",
"ground_truth": "13"
} | {
"index": 38953,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Li drove from location A to location B. Two hours after departure, the car broke down at location C, and it took 40 minutes to repair. After the repair, the speed was only 75% of the normal speed, resulting in arrival at location B being 2 hours later than planned. If the ... | math | {
"style": "rule",
"ground_truth": "288"
} | {
"index": 38954,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Li was doing a subtraction problem and mistook the tens digit 7 for a 9 and the ones digit 3 for an 8, resulting in a difference of 76. The correct difference is ______."
}
] | math | {
"style": "rule",
"ground_truth": "51"
} | {
"index": 38955,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Liang went to the science museum. The science museum is located 400 meters northeast of Xiao Liang's home. When Xiao Liang left home, he walked 600 meters in the northwest direction by mistake. At this time, he did not see the science museum. He asked a lady, and she didn'... | math | {
"style": "rule",
"ground_truth": "600"
} | {
"index": 38956,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming and Xiao Hua are counting picture cards in a box together. Xiao Ming is faster, being able to count 6 cards in the same time it takes Xiao Hua to count 4 cards. When Xiao Hua reached 48 cards, he forgot how many cards he had counted and had to start over. When he coun... | math | {
"style": "rule",
"ground_truth": "169"
} | {
"index": 38957,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming arranges chess pieces in a two-layer hollow square array (the diagram shows the top left part of the array). After arranging the inner layer, 60 chess pieces are left. After arranging the outer layer, 32 chess pieces are left. How many chess pieces does Xiao Ming have... | math | {
"style": "rule",
"ground_truth": "80"
} | {
"index": 38958,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming arrives at the departure station between 7:50 and 8:30 to catch the high-speed train departing at 7:00, 8:00, or 8:30. Calculate the probability that his waiting time does not exceed 10 minutes."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac {2}{3}"
} | {
"index": 38959,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming attempts to remove all 24 bottles of beer from a box, with each attempt allowing him to remove either three or four bottles at a time. How many different methods are there for Xiao Ming to remove all the beer bottles?"
}
] | math | {
"style": "rule",
"ground_truth": "37"
} | {
"index": 38960,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming collected 20 pieces of data in a survey, as follows: \n$95\\ \\ \\ 91\\ \\ \\ 93\\ \\ \\ 95\\ \\ \\ 97\\ \\ \\ 99\\ \\ \\ 95\\ \\ \\ 98\\ \\ \\ 90\\ \\ \\ 99$ \n$96\\ \\ \\ 94\\ \\ \\ 95\\ \\ \\ 97\\ \\ \\ 96\\ \\ \\ 92\\ \\ \\ 94\\ \\ \\ 95\\ \\ \\ 96\\ \\ \\ 98$ ... | math | {
"style": "rule",
"ground_truth": "0.4"
} | {
"index": 38961,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming forgot the last two digits of his WeChat login password. He only remembers that the last digit is one of the letters \\\\(A\\\\), \\\\(a\\\\), \\\\(B\\\\), or \\\\(b\\\\), and the other digit is one of the numbers \\\\(4\\\\), \\\\(5\\\\), or \\\\(6\\\\). The probabil... | math | {
"style": "rule",
"ground_truth": "\\dfrac{1}{12}"
} | {
"index": 38962,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming has a probability of passing the English Level 4 test of $\\frac{3}{4}$. If he takes the test 3 times consecutively, what is the probability that he passes exactly one of these tests?"
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{9}{64}"
} | {
"index": 38963,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming has multiple 1 yuan, 2 yuan, and 5 yuan banknotes. He wants to buy a kite priced at 18 yuan using no more than 10 of these banknotes and must use at least two different denominations. How many different ways can he pay?"
}
] | math | {
"style": "rule",
"ground_truth": "11"
} | {
"index": 38964,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming invests in selling a type of eye-protecting desk lamp with a cost price of $20$ yuan per unit. During the sales process, he found that the relationship between the monthly sales volume $y$ (units) and the selling price $x$ (yuan) can be approximated as a linear functi... | math | {
"style": "rule",
"ground_truth": "2160"
} | {
"index": 38965,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming must stand in the very center, and Xiao Li and Xiao Zhang must stand together in a graduation photo with seven students. Find the number of different arrangements."
}
] | math | {
"style": "rule",
"ground_truth": "192"
} | {
"index": 38966,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming observed a faucet continuously dripping water due to damage. To investigate the waste caused by the water leakage, Xiao Ming placed a graduated cylinder under the faucet to collect water. He recorded the total amount of water in the cylinder every minute, but due to a... | math | {
"style": "rule",
"ground_truth": "144"
} | {
"index": 38967,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming observed a faucet that was continuously dripping water due to damage. In order to investigate the waste caused by the water leakage, Xiao Ming placed a graduated cylinder under the faucet to collect water and recorded the total amount of water in the cylinder every mi... | math | {
"style": "rule",
"ground_truth": "144"
} | {
"index": 38968,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming participated in the \"Inheriting Classics, Building the Future\" themed speech competition. His scores for speech image, speech content, and speech effect were 9, 8, and 9 respectively. If the scores for speech image, speech content, and speech effect are determined i... | math | {
"style": "rule",
"ground_truth": "8.5"
} | {
"index": 38969,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming set a six-digit passcode for his phone using the numbers $0-9$, but he forgot the last digit. The probability that Xiao Ming can unlock his phone with just one try is ____."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{1}{10}"
} | {
"index": 38970,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming throws a die with uniform density three times and observes the number of points on the upper face each time. It is known that the numbers of points in the three throws are all different. Calculate the probability that the sum of the three numbers of points does not ex... | math | {
"style": "rule",
"ground_truth": "\\frac{1}{5}"
} | {
"index": 38971,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming's family has three hens. The first hen lays one egg every day, the second hen lays one egg every two days, and the third hen lays one egg every three days. Given that all three hens laid eggs on January 1st, how many eggs did these three hens lay in total in the 31 da... | math | {
"style": "rule",
"ground_truth": "56"
} | {
"index": 38972,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming's home is 30 minutes away from school by subway and 50 minutes by bus. One day, Xiao Ming took the subway first and then transferred to the bus, taking a total of 40 minutes to reach school, with the transfer process taking 6 minutes. How many minutes did Xiao Ming ta... | math | {
"style": "rule",
"ground_truth": "10"
} | {
"index": 38973,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Ming, Xiao Hong, and Xiao Gang are three people whose ages are three consecutive even numbers. Their total age is 48 years old. What is the youngest age? What is the oldest age?"
}
] | math | {
"style": "rule",
"ground_truth": "18"
} | {
"index": 38974,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Wang left home at 8:30 to visit a housing exhibition and returned home at 12:00, while his alarm clock at home was showing 11:46 when he got back. Calculate the time in minutes until the alarm clock will point to 12:00 exactly."
}
] | math | {
"style": "rule",
"ground_truth": "15"
} | {
"index": 38975,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Wang loves mathematics and chose the six numbers $6$, $1$, $8$, $3$, $3$, $9$ to set as his phone's startup password. If the two $3$s are not adjacent, calculate the number of different passwords Xiao Wang can set."
}
] | math | {
"style": "rule",
"ground_truth": "240"
} | {
"index": 38976,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Wang places some equilateral triangle paper pieces on the table. The first time he places 1 piece; the second time he places three more pieces around the first triangle; the third time he places more pieces around the shape formed in the second placement, and so on. The re... | math | {
"style": "rule",
"ground_truth": "571"
} | {
"index": 38977,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Wang plans to finish reading a 200-page book within a certain number of days. After reading for 5 days, he changed his plan and decided to read 5 more pages each day. As a result, he finished reading one day earlier than planned. How many pages did he originally plan to re... | math | {
"style": "rule",
"ground_truth": "20"
} | {
"index": 38978,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Wang's scores in three rounds of jump rope were 23, 34, and 29, respectively. Xiao Wang's final score is."
}
] | math | {
"style": "rule",
"ground_truth": "86"
} | {
"index": 38979,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Xiao did an addition problem, but he mistook the second addend 420 for 240, and the result he got was 390. The correct result is ______."
}
] | math | {
"style": "rule",
"ground_truth": "570"
} | {
"index": 38980,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Zhang and Xiao Zhao can only take on the first two roles, while the other three can take on any of the four roles, calculate the total number of different selection schemes."
}
] | math | {
"style": "rule",
"ground_truth": "48"
} | {
"index": 38981,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Zhang departs from point A to point B at 8:00 AM, traveling at a speed of 60 km/h. At 9:00 AM, Xiao Wang departs from point B to point A. After arriving at point B, Xiao Zhang immediately returns along the same route and arrives at point A at 12:00 PM, at the same time as ... | math | {
"style": "rule",
"ground_truth": "96"
} | {
"index": 38982,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiao Zhang has three watches. The first watch runs 2 minutes fast every hour, the second watch runs 6 minutes fast, and the third watch runs 16 minutes fast. If the minute hands of the three watches are currently all pointing in the same direction, after how many hours will the... | math | {
"style": "rule",
"ground_truth": "30"
} | {
"index": 38983,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaofan checked the step count on the smartwatch app before going out and found that the step count was a two-digit number. After walking downstairs, he found that the tens digit and the units digit had swapped. When he reached the entrance of the residential area, he found tha... | math | {
"style": "rule",
"ground_truth": "26"
} | {
"index": 38984,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoli decides which subject among history, geography, or politics to review during tonight's self-study session based on the outcome of a mathematical game. The rules of the game are as follows: in the Cartesian coordinate system, starting from the origin $O$, and then ending ... | math | {
"style": "rule",
"ground_truth": "\\dfrac{3}{10}"
} | {
"index": 38985,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming and Xiaojun start simultaneously from locations A and B, heading towards each other. If both proceed at their original speeds, they meet after 5 hours. If both increase their speeds by 2 km/h, they meet after 3 hours. The distance between locations A and B is 30 km."
... | math | {
"style": "rule",
"ground_truth": "30"
} | {
"index": 38986,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming forgot how to write $egg$ and only remembered there were three letters $e$, $g$, $g$. He randomly wrote one of them. Calculate the probability that he wrote it correctly."
}
] | math | {
"style": "rule",
"ground_truth": "\\frac{1}{3}"
} | {
"index": 38987,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming has several 1-yuan, 2-yuan, and 5-yuan banknotes. He wants to use no more than 10 banknotes to buy a kite priced at 18 yuan, and he must use at least two different denominations. How many different payment methods are possible?"
}
] | math | {
"style": "rule",
"ground_truth": "11"
} | {
"index": 38988,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming is riding a bicycle, while Xiaoming's father is walking. They start from locations $A$ and $B$ respectively, moving towards each other. After meeting, Xiaoming continues for another 18 minutes to reach $B$. It is known that Xiaoming's cycling speed is 4 times that of h... | math | {
"style": "rule",
"ground_truth": "72"
} | {
"index": 38989,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming saw a tractor pulling a rope slowly on the road and decided to measure the length of the rope. If Xiaoming walks in the direction the tractor is moving, it takes him a total of 140 steps to walk from one end of the rope to the other. If Xiaoming walks in the opposite d... | math | {
"style": "rule",
"ground_truth": "35"
} | {
"index": 38990,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming saw a tractor pulling a rope slowly on the road. Xiaoming decided to measure the length of the rope. If Xiaoming walks in the same direction as the tractor, it takes 140 steps to walk from one end of the rope to the other end; if Xiaoming walks in the opposite directio... | math | {
"style": "rule",
"ground_truth": "35"
} | {
"index": 38991,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming shot a total of 80 times in 3 minutes and scored 50 goals. Calculate the frequency of Xiaoming's scoring."
}
] | math | {
"style": "rule",
"ground_truth": "0.625"
} | {
"index": 38992,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming started adding the page numbers of a book from page 1, sequentially until the end, and obtained a sum of 4979. Later, he discovered that one sheet (which includes two consecutive pages) was missing from the book. How many pages did the book originally have?"
}
] | math | {
"style": "rule",
"ground_truth": "100"
} | {
"index": 38993,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming takes 100 RMB to the store to buy stationery. After returning, he counts the money he received in change and finds he has 4 banknotes of different denominations and 4 coins of different denominations. The banknotes have denominations greater than 1 yuan, and the coins ... | math | {
"style": "rule",
"ground_truth": "63.37"
} | {
"index": 38994,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming's family raises chickens and pigs in a ratio of 26:5, and sheep to horses in a ratio of 25:9, while the ratio of pigs to horses is 10:3. Find the ratio of chickens, pigs, horses, and sheep."
}
] | math | {
"style": "rule",
"ground_truth": "156:30:9:25"
} | {
"index": 38995,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming's father departs from home to go shopping at the supermarket. If he first rides a bicycle for 12 minutes and then walks for 20 minutes, he can reach the supermarket; if he first rides a bicycle for 8 minutes and then walks for 36 minutes, he can also reach the supermar... | math | {
"style": "rule",
"ground_truth": "60"
} | {
"index": 38996,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming's home is 30 minutes away from school by subway and 50 minutes by bus. One day, due to some reasons, Xiaoming first took the subway and then transferred to the bus, taking 40 minutes to reach the school. The transfer process took 6 minutes. Calculate the time Xiaoming ... | math | {
"style": "rule",
"ground_truth": "10"
} | {
"index": 38997,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaoming's home is 30 minutes away from school by subway and 50 minutes by bus. One day, due to some reasons, Xiaoming first took the subway and then transferred to the bus, taking 40 minutes to reach the school. The transfer process took 6 minutes. How many minutes did Xiaomin... | math | {
"style": "rule",
"ground_truth": "10"
} | {
"index": 38998,
"solution": ""
} |
DeepScaleR | [
{
"role": "user",
"content": "Xiaopang and Xiaoya both have their birthdays in May, and both fall on a Wednesday. Xiaopang's birthday is later, and the sum of their birth dates is 38. What is Xiaopang's birthday in May?"
}
] | math | {
"style": "rule",
"ground_truth": "26"
} | {
"index": 38999,
"solution": ""
} |
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