problem stringlengths 102 749 | answer stringlengths 1 95 | score float64 0.33 0.78 |
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A local bookstore is having a sale. They have 200 books on display, and they decide to rearrange them into groups of 15 books each. How many complete groups of books can they create? Additionally, they have 120 magazines to distribute equally among the groups. How many magazines will each group receive? And finally, if... | 2360 | 0.333333 |
A local bakery sells cupcakes for $2 each and cookies for $1.50 each. During a special sale, they offered a 20% discount on cupcakes and a 10% discount on cookies. If Sarah bought 5 cupcakes and 3 cookies, how much did she pay after the discounts? | 12.05 | 0.777778 |
A local bakery is having a special day where they offer a discount on cupcakes. For every 10 cupcakes you buy, you get 1 cupcake for free. If a customer buys 30 cupcakes, how many cupcakes do they get in total, including free ones? | 33 | 0.777778 |
A local farmer is planning to build a rectangular fence around her orchard. She has 120 meters of fencing material available. If she wants the length of the fence to be 4 meters more than twice the width, what should be the dimensions of the fence to maximize its area? | \frac{7024 | 0.333333 |
At a local bakery, a cake costs $20.00. If a customer buys a dozen cookies for $15.00, how much does a single cookie cost in cents? | 125 | 0.555556 |
A local bakery made 450 cookies to sell at a school fundraiser. If they sell the cookies for $0.75 each, how much total revenue do they expect to generate if they sell all the cookies? | 337.5 | 0.777778 |
A local bakery has a special deal where if you buy 3 cupcakes, you get a 1/3 cupcake free. If a customer buys 12 cupcakes, how many total cupcakes does the customer get? | 16 | 0.444444 |
In a school, there are 120 students who need to be divided into groups for a science project. If each group must have the same number of students and the number of groups must be a prime number, what is the maximum number of students that can be in each group? | 17 | 0.333333 |
A local bakery makes 120 cupcakes every day. If they sell 75 cupcakes each day, how many cupcakes do they have left at the end of the month? | 1350 | 0.666667 |
A school has 48 students in the science club. During the summer, they plan to split into teams for a science fair, with each team consisting of exactly 6 students. How many complete teams can the school form, and how many students will be left without a team? | 8 \text{ complete teams and 11 students left without a team | 0.555556 |
A local bakery makes 200 cupcakes every day. If the bakery sold 150 cupcakes on the first day and 130 on the second day, how many cupcakes are left in the bakery at the end of the second day? | 120 | 0.444444 |
A baker is preparing cookies for a school bake sale. He has 36 chocolate chip cookies and 24 oatmeal cookies. If he decides to give each student 2 cookies, how many students can he serve without running out of cookies? Also, how many cookies will be left after serving the maximum number of students? | 0 | 0.555556 |
A local farmer has a rectangular garden that measures 120 feet in length and 80 feet in width. She wants to build a small rectangular pond inside the garden that has a length of 30 feet and a width of 20 feet. What is the area of the garden that remains after the pond is built? | 9000 | 0.666667 |
At a school fair, there are 4 different food stalls. Each stall sells three different types of treats: cookies, cupcakes, and brownies. If each type of treat is sold 10 times, how many total treats are sold at the fair? | 120 | 0.777778 |
Two friends, Emma and Lily, decided to collect marbles. Emma collected 45 marbles, and Lily collected 30 marbles. They decided to put their marbles together and share them equally. How many marbles does each friend get? | 37.5 | 0.777778 |
Three friends, Alex, Bella, and Carlos, decided to split the cost of a car they bought for $6000. However, Alex wanted to buy a set of premium audio equipment for $1500, which made the total price for Alex, Bella, and Carlos more than the original price of the car. The cost of the car is not adjusted. How much more did... | 2500 | 0.333333 |
A local bakery made 120 cupcakes for a school party. They sold some cupcakes and then made 30 more cupcakes to restock. If they ended up with 160 cupcakes, how many cupcakes did they sell initially? | 40 | 0.666667 |
At a local bakery, a chef is preparing a special cake. The recipe requires 4 cups of sugar, 3 cups of flour, and 2 cups of cocoa powder to make 1 cake. If the chef wants to make 5 cakes for a big event, how many cups of each ingredient does he need in total? | 20 \text{ cups of sugar | 0.666667 |
A school is planning a field trip and needs to arrange transportation for 240 students. The school has two types of buses available: small buses that can carry 12 students each, and large buses that can carry 24 students each. How many small buses and large buses are needed to transport all the students if the school w... | 19 | 0.333333 |
In a certain town, there are three fruit markets. Market A sells apples at $2 per pound, Market B sells oranges at $3 per pound, and Market C sells bananas at $1 per pound. On a particular day, a customer buys a total of 20 pounds of fruit from these three markets. If the customer buys the same number of pounds of appl... | 5 | 0.666667 |
A local bakery is having a special sale where they offer a 20% discount on all pastries. If a customer buys 3 pastries originally priced at $5 each, how much would they save with the discount? | 3 | 0.555556 |
A local bakery is having a promotion where they offer a discount on their special cake. For every 3 cakes purchased, customers receive 1 additional cake for free. If a customer wants to buy 12 cakes, how many cakes will they end up with after applying the promotion? | 16 | 0.666667 |
Two cities, A and B, are connected by a railway line. City A has a population of 800,000 and City B has a population of 600,000. If the railway line is extended, it will connect 30 cities, including all cities in both A and B. If each city currently has an average of 2000 people living in it, how many more people will ... | 60000 | 0.333333 |
A local bakery is preparing for a special event. They need to make 120 cupcakes and 80 cookies. The bakery has already made 40 cupcakes and 30 cookies. How many more cupcakes and cookies do they need to make to meet their goal? | 130 cupcakes and 50 cookies | 0.666667 |
A local bakery made 120 cupcakes for a school party. After the party, they gave away 25 cupcakes to each of the 10 teachers. How many cupcakes were left for the students? | -130 | 0.333333 |
A local bakery sells cupcakes at a price of $2.50 each. If a customer buys more than 5 cupcakes, they get a 10% discount on the total price. How much would it cost a customer to buy 8 cupcakes if they qualify for the discount? | 18 | 0.777778 |
A local bakery is running a special promotion. For every 3 loaves of bread bought, customers get a 1/6 off on the 4th loaf. If a customer buys 20 loaves, how much will they save on the total bill? | 0.25 | 0.333333 |
A farmer had 150 apples. He sold 45 apples at the market and then gave 15 apples to each of his 5 friends. How many apples does the farmer have left? | 30 | 0.777778 |
A local farmer has a garden where he grows various vegetables. Last week, he planted 4 rows of carrots with 6 carrots in each row. This week, he decided to double the number of carrot plants in his garden. How many carrot plants does the farmer have in total now? | 48 | 0.666667 |
Mrs. Johnson's class is planning a field trip to the zoo. The total cost for renting a bus is $250. Each student ticket costs $10. If the class has a budget of $500 for the trip, how many student tickets can they buy after the bus rental, and will they have any money left over? | 25 | 0.555556 |
A local bookstore is having a sale. For every 5 books purchased, customers get 1 free. If Maria has $50 and each book costs $5, how many books can she buy including the free ones? | 15 | 0.777778 |
A local bakery is having a special sale. They sell cupcakes in packs of 4 for $8. If Sarah wants to buy cupcakes for a class party and she has $32, how many packs of cupcakes can she buy? How many cupcakes will she have in total after her purchase? | 4 \text{ packs of cupcakes and 16 cupcakes | 0.555556 |
A local bookstore is running a special promotion. For every 5 books a customer buys, they get an extra book for free. If a customer buys 25 books, how many books does the customer get in total? | 30 | 0.777778 |
A farmer harvested 120 apples from his orchard this week. If he sold 30% of the apples and then gave away 10% of the remaining apples, how many apples does he have left? | 76 | 0.555556 |
A local bakery makes chocolate chip cookies. On Monday, they made 150 cookies and sold 90 of them. On Tuesday, they made twice as many cookies as Monday and sold half of what they made. How many cookies are left with the bakery at the end of Tuesday? | 300 | 0.777778 |
A local bakery makes 120 cupcakes a day. If they sell 85 cupcakes on the first day and 75 cupcakes on the second day, how many cupcakes do they need to sell on the third day to reach their daily goal of 100 cupcakes? | 0 | 0.666667 |
A school is planning a field trip and needs to calculate the cost for the bus. The bus rental costs $250, and each student attending the trip pays $10 towards this cost. If the school expects 20 students to attend, what is the total cost of the bus trip? | 450 | 0.777778 |
A local bakery is planning a special sale. They decide to make 5 batches of cookies, with each batch containing 25 cookies. However, they discover that 10% of the cookies are defective and therefore unusable. How many usable cookies will the bakery have left after the sale? | 113 | 0.444444 |
A local library charges $3 for each book a student borrows from the library. If a student borrows 4 books in the first week, how much will they pay for borrowing 7 books in the second week? | 21 | 0.666667 |
A local bakery is preparing for a big festival. They need to bake 120 cupcakes. If they have already baked 35 cupcakes and plan to bake 20 more today, how many cupcakes will they have baked in total after today's baking session? | 175 | 0.666667 |
A local bookstore sold a certain number of books in the first month. In the second month, they sold twice as many books. In the third month, they sold three times as many books as the second month. If the total number of books sold over the three months is 390, how many books did they sell in the first month? | 40 | 0.777778 |
A local bakery is having a special sale. They offer a deal where if you buy 5 cupcakes, you get the next 5 free. If a customer buys 20 cupcakes, how many cupcakes can they get in total? | 40 | 0.333333 |
A farmer has a rectangular field that he wants to divide into three equal areas for planting different crops. The field is 60 meters long and 40 meters wide. What is the area of each section of the field? | 800 | 0.666667 |
John has a collection of 120 marbles. He decides to share them equally among his 5 friends. How many marbles will each friend receive, and how many marbles will be left with John? | 24 | 0.444444 |
A rectangular garden is being designed. The garden is to be 12 meters long and 8 meters wide. The owner wants to create a path around the garden that is uniformly wide. If the path increases the total area of the garden and path to 176 square meters, what is the width of the path? | 1.71 | 0.555556 |
A rectangular garden is 10 meters long and 8 meters wide. If you want to build a path around the garden that is 1 meter wide on all sides, what will be the new perimeter of the garden including the path? | 44 | 0.777778 |
A local bakery is having a special sale where they offer a discount on cupcakes. If a dozen cupcakes normally cost $36, but with the sale, the price is reduced to $25. How much money does a customer save by purchasing 5 dozen cupcakes during the sale? | 55 | 0.666667 |
A school bought 240 pencils for a science fair. If each student needed 3 pencils for their project, and the school has 10 classrooms with 25 students in each classroom, how many pencils did each student receive if the pencils were evenly distributed among the students? | 1.92 | 0.666667 |
A farmer has 35 cows and decides to sell 12 cows. After selling, he buys 8 new cows with the proceeds. How many cows does the farmer have now? | 46 | 0.555556 |
A local bakery made 120 cupcakes. They sold some cupcakes in the morning and then doubled that amount in the afternoon. How many cupcakes were left unsold? | 80 | 0.444444 |
Two trains start from opposite ends of a 300-mile track. The first train travels at a speed of 50 miles per hour, while the second train travels at a speed of 70 miles per hour. After how many hours will the two trains meet? | 2.5 | 0.777778 |
A farmer is planting trees in a new orchard. She plants 12 trees in the first row, 15 trees in the second row, and continues to increase the number of trees by 3 each row. After how many rows will the farmer have planted a total of 100 trees? | 6 | 0.333333 |
In a school, there are 30 students who are participating in a math club. The club decided to organize a treasure hunt where each student is assigned a point value based on their previous math scores. The point value is calculated as the sum of the digits of their scores. If the average point value of the students is 9,... | 270 | 0.555556 |
A local bakery makes 120 cupcakes each day and sells them for $2 each. On a special promotion day, they offer 20% more cupcakes than usual. How many cupcakes do they sell during the promotion day? | 144 | 0.777778 |
In a school math competition, there are 25 students who need to be divided into teams. Each team must have the same number of members, and the number of teams must be a prime number. What is the maximum number of teams that can be formed under these conditions? | 5 | 0.777778 |
A local bakery is having a special promotion. If you buy more than 5 cupcakes, you get a discount on the total price. If a regular cupcake costs $1.50 and you buy 6 cupcakes, how much will you save with the discount if the total cost without the discount is $9.30? | 0.30 | 0.555556 |
Mrs. Johnson's class has 24 students. She wants to divide them into groups for a project. If she decides to create groups with 6 students each, how many groups will there be? How many students will be left out? | 4 | 0.555556 |
Three friends, Alice, Bob, and Carol, decided to buy a new computer for $250. They split the cost equally. How much does each friend need to contribute? | 83.33 | 0.666667 |
A local bakery sells cupcakes at $2 each. They also sell cake slices at $3 each. If a customer buys a total of 15 items, how much money will they spend if they buy the same number of cupcakes as cake slices? | 40 | 0.666667 |
A rectangular garden measures 12 meters in length and 8 meters in width. You want to build a fence around the garden, but you have only enough fencing material to cover 100 meters. How many square meters of the garden's area will be left unshaded after the fence is built? (Hint: First, calculate the area of the garden.... | 64 | 0.555556 |
In a school garden, there are 3 types of flower pots: square pots, round pots, and triangular pots. Each type of pot is painted in a different color: red, blue, and green. If there are 4 square pots, 2 round pots, and 5 triangular pots, how many pots are there in total and how many of each color are used? | 11 | 0.777778 |
A local bakery is having a special promotion. Every time a customer buys a cake, they get a coupon for a free slice of another cake. Initially, a cake has 2 slices. After the first promotion, each cake has 3 slices. If there are 5 customers who each buy a cake, how many free slices of cake do they get in total? | 15 | 0.777778 |
A school is organizing a field trip. The total cost for renting a bus is $250. The cost for each student's meal is $10. If the school needs to cover 80% of the total cost for the trip, how many students can attend if the cost for the meal includes a 20% discount for early registration? | 25 | 0.333333 |
John has a savings account that he deposited $1000 in. The account earns interest at a rate of 4% per year. If John doesn't make any additional deposits or withdrawals, how much money will he have in his account after 3 years? | 1120 | 0.777778 |
At a local bakery, there are 5 shelves filled with cupcakes. Each shelf has 8 rows, and each row contains 12 cupcakes. If 3 cupcakes are sold from each row, how many cupcakes are left in total? | 360 | 0.666667 |
A local farmer has a circular field with a radius of 100 meters. He decides to create a path that goes around the field. The path is 5 meters wide all the way around the field. What is the area of the path alone? | 1025\pi | 0.444444 |
A local bookstore is organizing a sale on mystery novels. If they have a mystery novel collection with 45 mystery novels and they decide to mark up the price of each book by 25% to increase sales, what is the new price of one mystery novel? | 12.5 | 0.555556 |
A rectangular garden has a length of 15 meters and a width of 10 meters. A path of 1 meter wide surrounds the garden. What is the area of the path alone? | 54 | 0.777778 |
A local bakery made 120 cupcakes and 80 cookies. They sold 45 cupcakes and 30 cookies. How many cupcakes and cookies do they have left? | 75 \text{ cupcakes and | 0.666667 |
A local bakery is having a special sale. They have a cake that is priced at $30. If you buy more than 10 cakes, you get a discount of 10%. If you want to buy 15 cakes, how much will you have to pay? | 330 | 0.777778 |
A rectangular garden measures 12 meters in length and 8 meters in width. The garden owner wants to build a fence around the garden that is 1 meter wide all around. What is the total length of the fence needed? | 34 | 0.777778 |
A local bakery sold 3 times as many pies on Saturday as they did on Friday. If the total sales for Saturday were $240, how much did the bakery earn on Friday? | 80 | 0.555556 |
A farmer harvested 250 apples. He sold half of them at the market and gave a quarter of the remaining apples to his neighbor. How many apples does the farmer have left? | 94 | 0.777778 |
A local bakery is offering a special promotion. They bake 45 cupcakes and decide to put stickers on 75% of them. Each sticker costs $0.10. How much will it cost to get all the stickers for the cupcakes? | 3.38 | 0.555556 |
A local bakery is having a sale where they offer a special deal: buy 3 cakes and get 1 cake free. If each cake costs $12, how much money will you save with this deal if you buy 9 cakes? | 81 | 0.333333 |
At the city park, there are 75 pigeons. Half of them are black and the rest are white. How many pigeons are white? | 37.5 | 0.555556 |
A farmer is planting apple trees in a rectangular field. The field is 200 meters long and 150 meters wide. He wants to plant apple trees along the perimeter of the field, with each tree spaced 5 meters apart. How many apple trees will the farmer need to plant along the perimeter? | 140 | 0.555556 |
A farmer is planting apple trees in a rectangular field. The field is 150 meters long and 100 meters wide. The farmer decides to plant 5 apple trees in each row, with at least one tree in each square meter. How many rows will the farmer need to plant all the trees in the field? | 3000 | 0.444444 |
A farmer has 420 apples. He sells 3/7 of the apples at a local market. How many apples does he sell, and how many apples does he have left? | 180 | 0.666667 |
A school is planning a field trip and needs to calculate the total cost. They have a budget of $450. Each student ticket costs $15, and each adult ticket costs $25. The school plans to have 25 students and 5 teachers attend the trip. How much money will be left from the budget after purchasing all the tickets? | -50 | 0.777778 |
A local bakery is preparing for a special event and needs to make a large batch of cookies. They have 1500 grams of flour, but they need to know how many cookies they can make with it if each batch requires 200 grams of flour and they can bake 48 cookies per hour. How many cookies can they make with the flour they have... | 360 | 0.555556 |
A local bakery made 45 apple pies and 30 cherry pies for a community event. After the event, they sold 15 apple pies and 10 cherry pies. How many pies of each type are left unsold? | 30 \text{ apple pies and | 0.555556 |
A farmer has 120 apples. He decides to distribute these apples equally among 15 baskets. After filling the baskets, he realizes that he needs 20 more apples to make each basket contain exactly 15 apples. How many apples does the farmer need to buy to fill each basket to the correct amount? | 105 | 0.555556 |
A farmer has 52 cows. Each cow produces 36 liters of milk per day. The farmer sells milk at $2 per liter. How much money does the farmer make in one week from selling all the milk? | 26008 | 0.444444 |
A local bakery sells cupcakes at $2 each. If a school orders 50 cupcakes for a school event, how much money will the school save by ordering in bulk, compared to buying individual cupcakes at the same price? | 0 | 0.666667 |
A local bakery made 150 cupcakes. They sold 75 cupcakes on the first day and half of the remaining cupcakes on the second day. How many cupcakes are left at the end of the second day? | 37.5 | 0.666667 |
A farmer has 30 apples. He sells 15 apples at $0.50 each and uses the remaining apples to make 5 pies, with each pie requiring 4 apples. How much money does the farmer make from selling the pies? | 6.00 | 0.333333 |
Three cities, A, B, and C, are planning to build a triangular park in their region. City A can contribute 50% of the total land required. City B can contribute 30% of the total land. City C can contribute 20% of the total land. The total area of the land needed for the park is 100 square kilometers. How many square kil... | 50, 30, 20 | 0.333333 |
A local bakery made 120 cupcakes on Monday and 150 cupcakes on Tuesday. The bakery then decided to make an equal number of cupcakes on Wednesday and Thursday, and this pattern continued over the remaining days of the week. How many cupcakes did the bakery make on Wednesday? | 270 | 0.333333 |
During a school fundraiser, the PTA decided to sell handmade candles. They sold 120 candles on the first day, which was half the number sold on the second day. On the third day, they sold twice as many candles as on the second day. How many candles did they sell in total over the three days? | 840 | 0.777778 |
During a special sale at the local supermarket, Martha found a pair of shoes that originally cost $80. She used a coupon that reduced the price by 30%, but then she realized she could also get a discount of 15% off the already reduced price if she paid in cash. What would be the total cost of the shoes after applying b... | 47.60 | 0.777778 |
In a community garden, there are 3 rows of tomato plants. Each row has 4 tomato plants, and each plant produces 5 tomatoes. If the community decides to plant 2 more rows next year, how many tomatoes will they have in total then? | 100 | 0.777778 |
A baker is preparing to bake cookies for a school event. He has a recipe that makes 24 cookies using 3 cups of flour. If he wants to make enough cookies for 96 students, assuming each student gets 2 cookies, how many cups of flour will he need? | 24 | 0.777778 |
A local bakery is preparing for a big event and needs to bake 120 cakes. They have two ovens, and each oven can bake 40 cakes at a time. How many batches does the bakery need to bake to prepare all the cakes? | 2 | 0.777778 |
A school is organizing a field trip to a science museum. The total cost of renting a bus is $300, and the entrance fee for each student is $10. The school decides to subsidize the cost so that each student only pays $5 for the entrance fee. How many students can go on the field trip if the total budget for the field tr... | 60 | 0.555556 |
A school club has a budget of $250 to spend on supplies for a math competition. They need to buy calculators and notebooks for their 20 members. Each calculator costs $15 and each notebook costs $5. If the club wants to buy an equal number of calculators and notebooks, how much money will they have left after purchasin... | 10 | 0.444444 |
A school is planning a field trip and needs to calculate the total cost. The school needs to rent buses for transportation. Each bus can hold 40 students and the school needs 16 buses to transport 480 students. If the rental cost for each bus is $150, what is the total cost for renting all the buses? | 2400 | 0.555556 |
A local bakery makes 3 different types of cookies: chocolate chip, oatmeal raisin, and sugar cookies. They sell 2 chocolate chip cookies for $1, 3 oatmeal raisin cookies for $1.50, and 5 sugar cookies for $2.25. If the bakery sells 5 chocolate chip cookies, 7 oatmeal raisin cookies, and 4 sugar cookies in a day, how mu... | 17.75 | 0.555556 |
There are 45 students in a classroom. 25 of them are girls and the rest are boys. If 3 more boys join the classroom, how many students in total are there now? | 48 | 0.777778 |
A baker is preparing cupcakes for a school party. He needs to make enough cupcakes so that each of the 4 classrooms will have 15 cupcakes. However, he realizes that if he makes 2 extra cupcakes for each classroom, he will have enough for the party. How many cupcakes does the baker need to make? | 68 | 0.777778 |
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