prompt
listlengths 1
1
| reward_model
dict | data_source
stringclasses 1
value | extra_info
dict |
|---|---|---|---|
[
{
"content": "In 2010, Timothy went to the movies 7 more times than he did in 2009. In 2009, Timothy went to the movies 24 times. In 2010, Theresa went to see twice as many movies as Timothy did, but in 2009, she only saw half as many as he did. How many movies did Timothy and Theresa go to in both 2009 and 2010 combined? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "129",
"style": "rule"
}
|
numina_math
|
{
"index": 2700,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store buys a batch of 50 toy cars for $200 and sells them at a price of $6 each. How much profit does the store make if it sells all the toy cars? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 2701,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alice runs a small business selling handmade candles. She spends $50 on materials to make 20 candles. She sells each candle for $8.00. Alice also spends $10 on advertising. What is Alice’s net profit after selling all 20 candles? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 2702,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school fundraiser, students sell boxes of cookies. Each box of cookies contains 24 cookies. If each student in a class of 30 students sells 3 boxes, how many cookies in total did the class sell? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2160",
"style": "rule"
}
|
numina_math
|
{
"index": 2703,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The first term of an arithmetic sequence is 7, and the common difference is 3. What is the 50th term in this sequence? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "154",
"style": "rule"
}
|
numina_math
|
{
"index": 2704,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex can paint a wall in 4.5 hours. If his friend Bob can paint the same wall in 3.2 hours, how much faster is Bob compared to Alex in terms of time taken to paint the wall? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1.3",
"style": "rule"
}
|
numina_math
|
{
"index": 2705,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is planning to buy a laptop that costs $800. She has saved $500 so far and plans to save an additional $50 each week. How many weeks will it take for Sarah to save enough money to buy the laptop? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 2706,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider a sequence defined as follows: \\( a_1 = 1 \\), and for every positive integer \\( n \\geq 1 \\), \\( a_{n+1} = 2a_n + 1 \\). Find the sum of the first \\( n \\) terms of this sequence. Use this result to determine the sum of the first 10 terms. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2036",
"style": "rule"
}
|
numina_math
|
{
"index": 2707,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, 35% of the students are boys and the remaining 65% are girls. If there are 455 girls in the school, how many boys are there? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "245",
"style": "rule"
}
|
numina_math
|
{
"index": 2708,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cylindrical tank has a height of 10 meters and a volume of 200 cubic meters. If the tank is half full, what is the radius of the base of the tank in meters? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.52",
"style": "rule"
}
|
numina_math
|
{
"index": 2709,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a classroom, there are 5 groups of students working on a project. The number of students in each group is as follows: Group A has 4 students, Group B has 6 students, Group C has 5 students, Group D has 7 students, and Group E has 8 students. What is the average number of students per group? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 2710,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Anna is buying packs of pencils for her school. Each pack contains 12 pencils and costs $3.50. If she needs to buy 15 packs, how much will she spend in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "52.50",
"style": "rule"
}
|
numina_math
|
{
"index": 2711,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In Pascal's Triangle, find the entry in the 10th row that corresponds to the binomial coefficient \\(\\binom{10}{4}\\). Calculate the value using factorial notation. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "210",
"style": "rule"
}
|
numina_math
|
{
"index": 2712,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emma scored 92% on her math test, 85% on her science test, 78% on her history test, and 88% on her English test. What is her overall average percentage score? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "85.75",
"style": "rule"
}
|
numina_math
|
{
"index": 2713,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider a right triangle ABC in the coordinate plane with right angle at A and the other two vertices at B(0, 3) and C(4, 0). Calculate the perimeter of triangle ABC and determine if the side lengths are relatively prime. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 2714,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A bookstore is having a sale where all books are discounted by 20%. If a customer buys 3 books originally priced at $15 each and 2 books originally priced at $20 each, how much will they pay in total after the discount? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "68",
"style": "rule"
}
|
numina_math
|
{
"index": 2715,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Ethan and Lucas are collecting trading cards. Ethan has 96 cards, and Lucas has 72 cards. If Ethan decides to give away some cards so that he and Lucas have the same number of cards, how many cards must Ethan give to Lucas? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 2716,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A baker has a certain amount of flour. In the first batch of cakes, she uses \\( \\frac{2}{7} \\) of the total amount of flour. In the second batch, she uses \\( \\frac{1}{3} \\) of the total amount of flour. If she has 14 kilograms of flour left after making both batches, how much flour did she start with? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "36.75",
"style": "rule"
}
|
numina_math
|
{
"index": 2717,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is planning her study schedule for her upcoming exams. She plans to study 3 hours every weekday and 5 hours on each weekend day. If her exams are in 3 weeks, how many total hours will Sarah spend studying? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "75",
"style": "rule"
}
|
numina_math
|
{
"index": 2718,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jenna is baking cookies for a charity bake sale. She needs to make a total of 240 cookies. She plans to bake $\\frac{2}{5}$ of the cookies in the morning and the rest in the afternoon. If she decides to make half of the remaining cookies after the morning batch with her friend in the evening, how many cookies will Jenna and her friend bake together in the evening? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "72",
"style": "rule"
}
|
numina_math
|
{
"index": 2719,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jenny went to the store to buy supplies for her art project. She bought 3 packs of colored pencils, each containing 12 pencils, and 4 packs of markers, each containing 8 markers. Additionally, she bought 2 sketchbooks, each with 50 pages. How many items did Jenny buy in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "70",
"style": "rule"
}
|
numina_math
|
{
"index": 2720,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Gerald wants to buy a meat pie that costs 2 pfennigs. Gerald has 54 farthings, and there are 6 farthings to a pfennig. How many pfennigs will Gerald have left after buying the pie? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
numina_math
|
{
"index": 2721,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A function \\( f(x) \\) is defined as \\( f(x) = 2x + 3 \\), and another function \\( g(x) \\) is defined as \\( g(x) = x - 5 \\). If \\( h(x) \\) is the composition of \\( f \\) and \\( g \\), expressed as \\( h(x) = f(g(x)) \\), what is the value of \\( h(7) \\)? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
numina_math
|
{
"index": 2722,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is baking cookies and needs to manage her time efficiently. She spends 45 minutes preparing the dough, then bakes the cookies for 30 minutes. After that, she spends half of the baking time cooling the cookies. Finally, she spends an additional 20 minutes decorating them. How much total time does Sarah spend on the entire cookie-baking process? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1.83",
"style": "rule"
}
|
numina_math
|
{
"index": 2723,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "William's class set a goal each week of the number of cans of food that is to be collected. On the first day, 20 cans were collected. Then the number of cans increased by 5 each day. If they collected for 5 days a week to reach their goal, how many cans of food was their goal per week? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "150",
"style": "rule"
}
|
numina_math
|
{
"index": 2724,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden's length is 3 times its width minus 5 feet. If the width of the garden is 7 feet, what is the length of the garden? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "16",
"style": "rule"
}
|
numina_math
|
{
"index": 2725,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The sum of the first five terms of an arithmetic sequence is 100. If the first term is 8 and the common difference is \\(d\\), find the common difference \\(d\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 2726,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah and John are siblings. John is three times as old as Sarah and is also 12 years older than her. How old are Sarah and John? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "18",
"style": "rule"
}
|
numina_math
|
{
"index": 2727,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If \\(x = 4\\) and \\(y = 7\\), calculate the value of the algebraic expression \\(3x^2 + 5y - 2(x + y)\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "61",
"style": "rule"
}
|
numina_math
|
{
"index": 2728,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Let \\( f(x) = 2x + 3 \\) and \\( g(x) = \\frac{x-1}{2} \\). If \\( h(x) = f(g(x)) \\) and \\( k(x) = g(f(x)) \\), find \\( h(4) + k(4) \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "11",
"style": "rule"
}
|
numina_math
|
{
"index": 2729,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A baker makes cookies that are each 4 centimeters in diameter. He places the cookies in a rectangular tray that measures 40 centimeters by 24 centimeters. If the cookies are placed in rows and columns without any gaps between them, how many cookies can the baker fit on the tray? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 2730,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "What is the remainder when the base-7 number $5432_7$ is divided by $5$? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 2731,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex cycles at an average speed of 15 miles per hour. He spends 1 hour 45 minutes cycling on Monday and 2 hours 30 minutes cycling on Wednesday. What is his average speed for the total distance he cycled over the two days? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 2732,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden measures 15 meters in length and 10 meters in width. Calculate the area of the garden in square meters. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "150",
"style": "rule"
}
|
numina_math
|
{
"index": 2733,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Anna and Ben are planning a bike race on a circular track that is 400 meters in circumference. Anna cycles at a speed of 20 meters per second, while Ben cycles at a speed of 15 meters per second. If they start at the same point and same time but cycle in opposite directions, how long will it take for them to meet? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "11.43",
"style": "rule"
}
|
numina_math
|
{
"index": 2734,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A company has three departments: Sales, Marketing, and Development. The average monthly expenditure for each department is $5,000, $7,000, and $9,000 respectively. If the company decides to cut 10% of the expenditure from each department, how much money will the company save in total per month? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2000",
"style": "rule"
}
|
numina_math
|
{
"index": 2735,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emily wants to buy 5 packs of colored pencils for her art class. Each pack costs $3.65. She also needs to buy a sketchbook that costs $12.50. If she pays a total tax of $2.35 and has $8.45 left after her purchase, how much money did Emily start with? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "41.55",
"style": "rule"
}
|
numina_math
|
{
"index": 2736,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe requires \\( \\frac{3}{4} \\) cup of sugar for every 2 cups of flour. If you want to make a larger batch using 6 cups of flour, how much sugar will you need? Ensure to set up the proportion and solve for the amount of sugar. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.25",
"style": "rule"
}
|
numina_math
|
{
"index": 2737,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a garden, there are 120 rose bushes. The number of tulip plants is (3/5) of the number of rose bushes, and it is also (1/4) of the number of daffodil plants. How many daffodil plants are there? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "288",
"style": "rule"
}
|
numina_math
|
{
"index": 2738,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe requires 2/3 of a cup of sugar. If the sugar is measured using a 1/4 cup, how many times will the 1/4 cup need to be filled to get the required amount of sugar? Use the ceiling function if necessary. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 2739,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "There is a very large room that has 6 tables, 2 sofas and 3 chairs that have 4 legs each. There are also 4 tables with 3 legs each, 2 tables with 1 leg each, and 2 rocking chairs with 2 legs each. How many legs are there in the room? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "62",
"style": "rule"
}
|
numina_math
|
{
"index": 2740,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A car's fuel tank has a capacity of 60 liters. The car consumes fuel at a rate of 8 liters per 100 kilometers. If the car starts with a full tank and drives a distance of 450 kilometers, how much fuel will be left in the tank? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "24",
"style": "rule"
}
|
numina_math
|
{
"index": 2741,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A farmer has a large storage container filled with grain. He distributes \\( \\frac{3}{5} \\) of the grain to his animals. If the container originally held 250 kilograms of grain, how much grain is left in the container after the distribution? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 2742,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A hotel has a lobby with a floor made of square tiles. Each tile measures 1 meter on each side. The hotel management decides to replace all the tiles in the lobby. If the lobby floor measures 15.5 meters in length and 12.3 meters in width, how many whole tiles will the hotel need to cover the entire lobby floor? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "191",
"style": "rule"
}
|
numina_math
|
{
"index": 2743,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A jacket originally costs $120. During a sale, the price is increased by 10%, and then a discount of 15% is applied to the new price. What is the final price of the jacket after these changes? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "112.2",
"style": "rule"
}
|
numina_math
|
{
"index": 2744,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Samantha is 12 years old, and her sister Emily is 24 years old. In how many years will Emily be 1.5 times Samantha's age at that time? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 2745,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a book club, there are 5 different mystery novels, 4 different fantasy novels, and 3 different science fiction novels. The club wants to arrange these books on a shelf such that all books of the same genre are grouped together. In how many different ways can the books be arranged on the shelf? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "103680",
"style": "rule"
}
|
numina_math
|
{
"index": 2746,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden has a length of 15 meters and a width of 10 meters. If a fence is to be built around the entire garden, how many meters of fencing material are needed? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 2747,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A bookstore is having a sale where all books are 25% off the original price. If a customer buys three books originally priced at $20, $35, and $50, how much does the customer pay after the discount is applied to each book? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "78.75",
"style": "rule"
}
|
numina_math
|
{
"index": 2748,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Tate finishes high school in 1 year less than normal. It takes him 3 times that long to get his bachelor's degree and Ph.D. combined. If the normal time to finish high school is 4 years, how many years did he spend in high school and college? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 2749,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Lisa is training for a marathon and runs at a rate of 6 miles per hour. On Monday, she runs for 1.5 hours in the morning and 2/3 of that time in the evening. On Tuesday, she runs for 1.25 hours in the morning and twice that time in the evening. How many miles does Lisa run in total over the two days? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "37.5",
"style": "rule"
}
|
numina_math
|
{
"index": 2750,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Percius has a collection of 100 marbles. 40% of them are clear, 20% are black, and the remainder are of other colors. A friend of his asks if he can take five marbles at random. On average, how many marbles of other colors will his friend end up getting? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 2751,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "How many positive divisors do 8400 and 7560 have in common? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "32",
"style": "rule"
}
|
numina_math
|
{
"index": 2752,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sandra is comparing the cost of two gym memberships. The first gym charges $50 per month, while the second gym charges $45 per month with a one-time joining fee of $60. What is the total cost of each gym membership for a year, and which gym is cheaper over the course of one year? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0",
"style": "rule"
}
|
numina_math
|
{
"index": 2753,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given that \\( 7^{2023} \\) is an extremely large number, find the remainder when \\( 7^{2023} \\) is divided by 13. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 2754,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Olivia is practicing for a marathon. She decides to run 4 days a week. On the first day, she runs 3 miles. On the second day, she runs twice as many miles as the first day. On the third day, she runs 1 mile less than the second day. On the fourth day, she runs half as many miles as she ran on the third day. How many miles does Olivia run in total for the 4 days? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "16.5",
"style": "rule"
}
|
numina_math
|
{
"index": 2755,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A bottle of juice is originally priced at $3.50. If a store offers a 20% discount on the juice and a customer buys 3 bottles, how much does the customer pay in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8.4",
"style": "rule"
}
|
numina_math
|
{
"index": 2756,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is buying apples and oranges. She buys apples that cost $3 per pound and oranges that cost $4 per pound. She buys 10 pounds of apples and 5 pounds of oranges. If she gets a 10% discount on the total cost, how much does she pay for the fruits? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "45",
"style": "rule"
}
|
numina_math
|
{
"index": 2757,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A teacher wants to calculate the average score of her class on a recent math test. She has the scores of 7 students: 78, 85, 92, 88, 76, 95, and 89. If she wants the average score to be 85, what score does the 8th student need to achieve? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "77",
"style": "rule"
}
|
numina_math
|
{
"index": 2758,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Rachel works as a freelancer and charges $25 per hour for her work. She has recently taken on a project where she needs to complete 60 hours of work. However, she agreed to give a discount of $5 per hour for this particular project. How much less will Rachel earn from this project compared to her usual rate? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "300",
"style": "rule"
}
|
numina_math
|
{
"index": 2759,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given two positive integers \\(a\\) and \\(b\\), their least common multiple (LCM) is 180 and their greatest common divisor (GCD) is 6. If one of the integers is 30, what is the other integer? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "36",
"style": "rule"
}
|
numina_math
|
{
"index": 2760,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A bakery sells 1/3 of its cakes in the morning and 1/4 of the remaining cakes in the afternoon. If the bakery sells 50 cakes throughout the day, how many cakes did the bakery originally have? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 2761,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a local park, the park administration planted 45 trees in the east section, 90 trees in the west section, and the number of trees planted in the north section is 15 fewer than three times the total of the east and west sections. How many trees were planted in the north section? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "390",
"style": "rule"
}
|
numina_math
|
{
"index": 2762,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A school is organizing a field trip and needs to rent buses to transport 180 students. Each bus can hold 45 students, and the cost to rent each bus is $150. If the total budget for the bus rental is $600, will the school be within the budget, and how much money will be left or needed? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0",
"style": "rule"
}
|
numina_math
|
{
"index": 2763,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sophia is purchasing supplies for her art project. She buys 3 sketchbooks at $12 each and 5 packs of colored pencils at $8 each. If Sophia has a budget of $100, how much money will she have left after making these purchases? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "24",
"style": "rule"
}
|
numina_math
|
{
"index": 2764,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given the fraction \\(\\frac{7}{12}\\), convert it to its decimal form. Identify the repeating sequence, and then determine the digit in the 50th place to the right of the decimal point. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 2765,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Karen started her new job on January 15, 2019. She completed her training period on April 10, 2019. How many days did her training period last? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "85",
"style": "rule"
}
|
numina_math
|
{
"index": 2766,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A laptop originally costs $1,200. During a holiday sale, the store offers a 25% discount on the laptop. What is the sale price of the laptop and how much do you save by purchasing it during the sale? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "300",
"style": "rule"
}
|
numina_math
|
{
"index": 2767,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "What is the largest whole number that can be formed using each of the digits 7, 4, and 9 exactly once? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "974",
"style": "rule"
}
|
numina_math
|
{
"index": 2768,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Catherine has an equal number of notebooks and erasers. She has 84 notebooks. If she gives 3 notebooks and 2 erasers to each of her 12 friends and keeps the rest for herself, how many notebooks and erasers does she have left? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 2769,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A factory produces two types of widgets, A and B. The production ratio of widgets A to widgets B is 7:4. If the factory produces 560 widgets A in a day, how many widgets B does it produce in the same day? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "320",
"style": "rule"
}
|
numina_math
|
{
"index": 2770,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "John deposits $1000 in a savings account that earns simple interest at an annual rate of 5%. After 3 years, he withdraws the interest earned and needs to pay a tax of 20% on this interest. How much tax does John have to pay? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
numina_math
|
{
"index": 2771,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Cristian has 50 more black cookies in his cookie jar than white cookies. He eats half of the black cookies and 3/4 of the white cookies. If he initially had 80 white cookies, how many cookies are remaining within the cookie jar altogether? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "85",
"style": "rule"
}
|
numina_math
|
{
"index": 2772,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emily is budgeting her monthly expenses. Her monthly income is $3,000. She allocates 30% of her income to rent, 20% to groceries, 10% to savings, and the remaining amount to other expenses. What is the amount allocated to other expenses? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1200",
"style": "rule"
}
|
numina_math
|
{
"index": 2773,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Two workers, A and B, are hired to complete a job together. Worker A can complete the job alone in 6 hours, while worker B can complete the same job alone in 8 hours. They start working together, but after working for 2 hours, Worker B leaves. Worker A continues to work alone until the job is finished. How much longer will Worker A need to work alone to complete the job? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.5",
"style": "rule"
}
|
numina_math
|
{
"index": 2774,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Samantha is trying to calculate the average amount of milk she drinks each week. She drinks 250 milliliters of milk each morning and 300 milliliters each evening. How many liters of milk does Samantha drink on average per day over a week? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0.55",
"style": "rule"
}
|
numina_math
|
{
"index": 2775,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah has $120 saved up. She wants to buy some books that cost $8 each. She also plans to buy a new backpack that costs $24. After buying the backpack, how many books can Sarah buy with the remaining money, and how much money will she have left? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0",
"style": "rule"
}
|
numina_math
|
{
"index": 2776,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The price of a laptop increased by 20% over the past year. If the current price of the laptop is $900, what was the price of the laptop one year ago? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "750",
"style": "rule"
}
|
numina_math
|
{
"index": 2777,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a certain row of Pascal's Triangle, the 4th element from the left is 15 and the 5th element from the left is 10. Calculate the 6th element in that row. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10",
"style": "rule"
}
|
numina_math
|
{
"index": 2778,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Samantha is keeping track of her expenses for the week. On Monday, she spent $12.35 on groceries, $8.49 on transportation, and $15.78 on dining out. On Tuesday, she spent $20.67 on groceries and $5.55 on transportation. She wants to round each of these amounts to the nearest whole number and then find the total expenses for both days combined. What is the total rounded expense for Monday and Tuesday? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "63",
"style": "rule"
}
|
numina_math
|
{
"index": 2779,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store is having a 20% off sale on all items. Before the sale, the mean price of all items was $50, and the median price was $40. After the sale, what are the new mean and median prices of all items? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "40",
"style": "rule"
}
|
numina_math
|
{
"index": 2780,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A team of researchers is planning their trips to a remote island for data collection. On their first trip, they stayed for 3 weeks. For their second trip, they stayed twice as long as the first trip. On their third trip, they stayed one and a half times longer than their second trip. How many days in total did the researchers spend on the island? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "126",
"style": "rule"
}
|
numina_math
|
{
"index": 2781,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Carlos is trying to lose weight by walking every day. He plans to walk 2 kilometers every day in the month of October. If he burns 50 calories per kilometer and he starts the month weighing 80 kilograms, how many calories will Carlos burn in October, and what will his weight be if he burns 7,000 calories to lose 1 kilogram? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "79.556",
"style": "rule"
}
|
numina_math
|
{
"index": 2782,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a 3x3 magic square, the sum of the numbers in each row, column, and diagonal is the same. The top left cell of the square is filled with the number 8, and the center cell is filled with the number 5. If the bottom right cell is twice the number in the top right cell, find the number in the bottom right cell. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 2783,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If \\(\\sqrt{x + 5} - \\sqrt{x - 3} = 2\\), find the value of \\(x\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 2784,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, the students are arranged in a sequence based on their student ID numbers. The first student has an ID number of 1001, the second student has an ID number of 1003, and so on, following an arithmetic sequence. If the last student in the sequence has an ID number of 1063, how many students are there in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "32",
"style": "rule"
}
|
numina_math
|
{
"index": 2785,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A local bakery produces two types of bread: white bread and whole wheat bread. Each loaf of white bread costs $1.50 to produce, and each loaf of whole wheat bread costs $2.00 to produce. The bakery produced a total of 500 loaves of bread, and the total production cost was $850. How many loaves of each type of bread did the bakery produce? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "200",
"style": "rule"
}
|
numina_math
|
{
"index": 2786,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A polyhedron has 12 vertices, 30 edges, and 20 faces. Verify that this polyhedron satisfies Euler's Formula and calculate the number of faces that are pentagons if the polyhedron has 10 triangular faces and the rest are pentagons. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10",
"style": "rule"
}
|
numina_math
|
{
"index": 2787,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the sequence \\( a_n \\) defined by the recurrence relation:\n\\[ a_{n+1} = a_n + n \\mod 7 \\]\nwith the initial condition \\( a_1 = 1 \\). Determine the smallest positive integer \\( k \\) such that \\( a_k \\equiv 0 \\pmod{7} \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
numina_math
|
{
"index": 2788,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the sequence defined by \\( a_n = 3n + 2 \\). Evaluate the function for \\( n = 1, 2, 3, 4, \\) and \\( 5 \\). Then, identify the pattern and predict the value of \\( a_{10} \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "32",
"style": "rule"
}
|
numina_math
|
{
"index": 2789,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Simplify the expression: $\\frac{2^5 \\times 3^3}{6^2} \\div \\frac{4^2}{2^3 \\times 3}$. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "36",
"style": "rule"
}
|
numina_math
|
{
"index": 2790,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah has a recipe that calls for 3/4 cup of sugar. She wants to make 5 batches of the recipe. How many cups of sugar does she need in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3.75",
"style": "rule"
}
|
numina_math
|
{
"index": 2791,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A triangle has integer side lengths. If one side is $5$ units and another side is $12$ units, what is the minimum possible perimeter of the triangle? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "25",
"style": "rule"
}
|
numina_math
|
{
"index": 2792,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Simplify \\(\\frac{\\frac{2}{1+i}}{1-\\frac{1}{1-i}}\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 2793,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Find the smallest common multiple of the square roots of the perfect squares: \\(36\\), \\(64\\), and \\(100\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "120",
"style": "rule"
}
|
numina_math
|
{
"index": 2794,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a coordinate plane, points \\( A(0, 8) \\) and \\( B(6, 0) \\) are given. Point \\( D \\) is the midpoint of segment \\( \\overline{AB} \\), and point \\( E \\) is located at \\( (3, 0) \\). Determine the sum of the coordinates of point \\( F \\), the intersection of lines \\( \\overline{AE} \\) and \\( \\overline{BD} \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "18",
"style": "rule"
}
|
numina_math
|
{
"index": 2795,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The weight of a package is 5 times the weight of a book. If the combined weight of the package and the book is 18 kilograms, what is the weight of the package in grams? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15000",
"style": "rule"
}
|
numina_math
|
{
"index": 2796,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah wants to buy a new laptop that costs $1200. She has already saved $750. If she saves $45 per week, how many more weeks will it take for her to save enough money to buy the laptop? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10",
"style": "rule"
}
|
numina_math
|
{
"index": 2797,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store is running a promotion where customers get 1/3 off the price of any item if they buy 3 or more items. Jenna wants to buy 4 items priced at $15, $25, $30, and $20. What is the total cost Jenna will pay after applying the discount? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 2798,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a fruit market, the price of apples is 25% more than the price of bananas, and the price of oranges is 20% less than the price of apples. If the combined cost of buying 2 kilograms of bananas, 3 kilograms of apples, and 5 kilograms of oranges is \\$54, what is the price per kilogram of each type of fruit? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 2799,
"name": "numina_math",
"split": "train"
}
|
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