Datasets:

cviswanath

/

flan-v2-processed

like 0

###Human : Mark wants to build a pyramid of soda cases that's four levels tall. Each level of the pyramid has a square base where each side is one case longer than the level above it. The top level is just one case. How many cases of soda does Mark need?..###Assistant : 30We know that the top level just has one case. Since each level has one more case per side than the level above it, the second level has sides that are 2 cases long. We can figure out how many cases we need for the second level by finding the area of a square with a side length of 2: 2 cases * 2 cases = 4 cases. The third level has three cases per side, so we need to find the area of a square with side length 3: 3 cases * 3 cases = 9 cases. The fourth level has a side length of 4, so we find its area with 4 cases * 4 cases = 16 cases. Finally, we add up the number of cases we need on each level: 1 cases + 4 cases + 9 cases + 16 cases = 30 cases..

###Human : Lucius owns a small business and spends $10 every day on ingredients. He then makes a portion of French Fries and a portion of Poutine and sells them to the market, paying ten percent of his weekly income as tax. If the price of French fries is $12 and the price of Poutine is $8, how much does he earn every week after paying the taxes, selling all his products, and buying all the ingredients?..###Assistant : 56He earns $12 + $8 = $20 after selling the French fries and Poutine every day. So, he earns $20 x 7 = $140 every week. And the total amount he pays for the taxes is $140 x 0.10 = $14. So, his income after paying the weekly taxes is $140 - $14 = $126. Lucius spends $10 x 7 = $70 for the ingredients every week. Therefore, his total income every week after buying all the ingredients and paying the taxes is $126 - $70 = $56..

###Human : An old pirate wants to leave his treasure on an island. He has 3500 gold coins. He wants to spread this equally across 5 chests. Additionally, he will put a total of 500 silver coins and twice as many bronze coins as silver, all distributed equally across the chests. How many coins in total will be in each chest?..###Assistant : 1000There will be 3500 gold coins / 5 chest = 700 gold coins in every chest. So, there will be 500 silver coins / 5 chests = 100 silver coins in each chest. Then, the number of bronze coins is double the number of silver coins, so there are 2 * 500 = 1000 bronze coins. So there will be 1000 bronze coins / 5 chests = 200 bronze coins in each chest. Finally, the total number of coins in every chest will be 700 gold coins + 100 silver coins + 200 bronze coins = 1000 coins..

###Human : The movie based on the book was released in 2005. It was directed by Wayne Wang; produced by Trevor Albert, Walden Media, and Joan Singleton; distributed by 20th Century Fox; with music composed by Rachel Portman. It stars AnnaSophia Robb as India Opal Buloni, Jeff Daniels as "The Preacher", Opal's father, Mr. Buloni, Cicely Tyson as Gloria Dump, Luke Benward as Steven "Stevie" Dewberry, Dave Matthews as Otis, Eva Marie Saint as Ms. Franny Block, Courtney Jines as Amanda Wilkinson, BJ Hopper as Mr. Alfred, Nick Price as Dunlap Dewberry, Elle Fanning as Sweetie Pie Thomas, Harland Williams as Policeman, John McConnell as Store Manager, Becca Lish as Gertrude the Parrot, and two dogs, Lyco and Scott as Winn-Dixie.\n\nAnswer this question based on the passage: who plays gloria dump in because of winn dixie?..###Assistant : Cicely TysonThis is the relevant information: It stars AnnaSophia Robb as India Opal Buloni, Jeff Daniels as "The Preacher", Opal's father, Mr. Buloni, Cicely Tyson as Gloria Dump, Luke Benward as Steven "Stevie" Dewberry, Dave Matthews as Otis, Eva Marie Saint as Ms. Franny Block, Courtney Jines as Amanda Wilkinson, BJ Hopper as Mr. Alfred, Nick Price as Dunlap Dewberry, Elle Fanning as Sweetie Pie Thomas, Harland Williams as Policeman, John McConnell as Store Manager, Becca Lish as Gertrude the Parrot, and two dogs, Lyco and Scott as Winn-Dixie..

###Human : Helga works for a newspaper company. She can write 5 articles every 30 minutes, and she usually works 4 hours a day 5 days a week. If Helga worked an extra 2 hours last Thursday, and an extra 3 hours last Friday, how many articles was she able to write this week?..###Assistant : 250Helga writes 5 x 2 = 10 articles per hour. And she can write 10 x 4 = 40 articles every 4 hours. So, the total number of articles she usually writes for a week is 40 x 5 = 200 articles. She was able to write 10 x 2 = 20 articles on her extra 2 hours last Thursday. And she was able to write 10 x 3 = 30 articles on her extra hour last Friday. So, the total number of articles she was able to write on her extra hours is 20 + 30 = 50. Therefore, she was able to write a total of 200 + 50 = 250 this week..

###Human : Jill likes to do small jobs online. She makes $10 a day for her first month working online, and double that per day in her second month. Her third month she makes the same amount per day as the previous month, but only works every other day. How much did she make over three months, assuming each month is 30 days long?..###Assistant : 1200Since there are 30 days in a month and Jill makes $10 a day her first month, she makes 30 * 10 = 300 dollars her first month. She makes twice the amount of the previous month's $300 in her second month, so she makes 2 * 300 = 600 dollars her second month. She makes the same amount per day the third month, but only works half the number of days, so she makes 600 / 2 = 300 dollars a month her third month. In total, she makes 300 + 300 + 600 = 1,200 dollars..

###Human : John and Yasmin's dad is named Gabriel. If John has twice the number of children that her sister has and Gabriel has six grandkids, how many children does Yasmin have?..###Assistant : 2We don't know Yasmin's number of children yet, but let's represent it as Y. If John has twice the number of children Yasmin has, then John has 2 * Y = 2Y kids. If Gabriel has 6 grandkids between John's and Yasmin's children, then we can represent this as 6 = 2Y + Y. If we solve the latest equation then we learn that 6 = 3Y. Given that Y represents how many kids Yasmin has, then solving for Y we know that Y = 6 / 3 or Y = 2 kids..

###Human : Eva learns for two semesters in a year. In 2019, she scored ten more marks in maths in the first semester than the second, 15 marks less in arts, and 1/3 marks less in science in the first semester than the second. If she got 80 marks in maths in the second semester, 90 marks in arts, and 90 in science, what's the total number of her marks in all the semesters?..###Assistant : 485In the first semester, she scored 80 + 10 = 90 marks in maths. She also scores 90 - 15 = 75 marks in arts in the first semester. She scored 1 / 3 marks less in science in the first semester than the second, which is 1 / 3 * 90 = 30. Her score in science in the first semester is 90 - 30 = 60. The total for the first semester is 90 + 75 + 60 = 225. The total for the second semester is 90 + 90 + 80 = 260. The combined marks for all the semesters in 260 + 225 = 485..

###Human : Caden has four jars of coins. One jar of pennies, one jar of nickels, one jar of dimes and one jar of quarters. He has twice as many quarters as he does dimes. He has five times as many nickels as he does dimes. He has three times as many pennies as he does nickels. If he has 120 pennies, how much money does he have?..###Assistant : 8Starting with 120 pennies he has $1.20. If he has three times as many pennies as he does nickels, he has 120 pennies / 3 nickels per penny = 40 nickels. 40 nickels = 40 * $0.05 = $2. If he has five times as many nickels as dimes he has 40 nickels / 5 dimes per nickel = 8 dimes. 8 * $0.10 = $0.80. if he has twice as many quarters than he does dimes, he has 8 dimes * 2 quarters per dime = 16 quarters = 16 * $ 0.25 = $4.00. In all he has $1.20 + $2.00 + $0.80 + $4.00 = $8.00..

###Human : Students at Highridge High earn 2 points for each correct answer during a quiz bowl If a student correctly answers all the questions in a round, the student is awarded an additional 4 point bonus. They played a total of five rounds each consisting of five questions. If James only missed one question, how many points did he get?..###Assistant : 66If James only missed one question in all five rounds of five questions, he correctly answered 5 * 5 - 1 = 24 questions. Before the bonus, James earned 24 correct answers * 2 points / answer = 48 points. Since missing one question would only disqualify him from receiving a bonus in one round, he would earn a bonus for 5 - 1 = 4 rounds. He should expect a bonus of 4 rounds * 4 points / round = 16 points. Including his bonus, James scored a total of 48 + 16 = 64 points..

###Human : Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten 20 hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record?..###Assistant : 11Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75 - 20 = 55 hotdogs to tie Joey Chestnut. Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10 / 2 = 5 minutes left until the competition is over. If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55 / 5 = 11 hot dogs per minute to have a chance of tying for a win..

###Human : Drew is 5 years older than Maya. Peter is 4 years older than Drew. John is 30 and is twice as old as Maya. In 2 years, Jacob will be exactly half of Peter’s age. How old is Jacob now?..###Assistant : 11If John is 30 and twice as old as Maya then Maya is 30 / 2 = 15 years old. Drew is 5 years older than Maya so Drew is 15 + 5 = 20 years old. Peter is 4 years older than Drew so is 20 + 4 = 24 years old. In 2 years, Peter will be 24 + 2 = 26 years old. Half of Peter’s age in 2 years will be 26 / 2 = 13 years old and Jacob’s age in 2 years. Jacob now is 13 - 2 = 11 years old..

###Human : Roger had a 6-hour drive planned out. He didn't want to listen to music so he downloaded several podcasts. The first podcast was 45 minutes long. The second podcast was twice as long as that. The third podcast was 1 hour and 45 minutes long. His fourth podcast is 1 hour long. How many hours will his next podcast have to be to fill up the full 6 hours?..###Assistant : 1The second podcast was twice as long as the first so 2 * 45 = 90. 1 hour is 60 mins. So his 1 hour and 45 min podcast is 60 + 45 = 105 minutes long. So far he has downloaded 45 + 90 + 105 + 60 = 300 min. If he converts 300 min to hours then he has 300 / 60 = 5 hours of podcasts downloaded. He has 5 hours of podcasts and his drive is 6 hours so he will need 6 - 5 = 1 more hour of podcasts..

###Human : A row of houses all share a community space where they put up their clotheslines. There are 2 clotheslines for every house on the street. On the street, there are a total of 11 children and 20 adults. Each child currently has 4 items of clothing on the clotheslines and each adult currently has 3 items of clothing on the clotheslines. If each clothesline can hold 2 items of clothing and all of the clotheslines are full, how many houses are on the street?..###Assistant : 26From the children, there are a total of 11 children * 4 items of clothing each = 44 items of clothing on the clotheslines. From the adults, there are a total of 20 adults * 3 items of clothing each = 60 items of clothing on the clotheslines. So there are a total of 44 + 60 = 104 items of clothing on the clotheslines. This means that there are 104 items of clothing / 2 items of clothing per clothesline = 52 clotheslines. There are 2 clotheslines per house so there must be 52 clotheslines / 2 = 26 houses on the street..

###Human : Emily went to the store and bought art supplies for $20 and 2 skirts that cost the same amount of money. She spent a total of $50. How much did Emily pay for each of the skirts?..###Assistant : 15First, you need to set up the problem with the information given. The cost of the skirts and art supplies must equal $50. Since we know that the cost of the skirts is the same price and that she bought art supplies for $20, we can set up an equation: 2x + 20 = 50, with x being the cost of the skirts. To solve the equation, subtract 20 from both sides, to give you the new equation: 2x = 30. Solve for x by dividing both sides of the equation by 2, 2x / 2 = 30 / 2 gives you x = 15. Therefore, each skirt cost $15..

###Human : The lunchroom is full of students: 40% are girls and the remainder are boys. There are 2 monitors for every 15 students. There are 8 monitors. Every boy drinks, on average, 1 carton of milk, and every girl drinks, on average, 2 cartons of milk. How many total cartons of milk are consumed by the students in the lunchroom?..###Assistant : 168There is 1 monitor for every fifteen students because 30 / 2 = 15. There are 120 students because 8 x 15 = 120. 60% of the lunchroom is boys because 100 - 40 = 60. There are 72 boys because 120 x .6 = 72. There are 48 girls because 120 x .4 = 48. The boys drink 72 cartons of milk because 72 x 1 = 72. The girls drink 96 cartons of milk because 48 x 2 = 96. They drink 168 cartons of milk because 72 + 96 = 168..

###Human : Martha is knitting winter clothes for her 3 grandchildren, who are all the same size (identical triplets.) Each set of clothes consists of a woolen hat, a scarf, a sweater, a pair of mittens, and a pair of wooly socks. She can knit a hat in 2 hours. A scarf takes her 3 hours. Each mitten takes her about an hour to knit. A sock takes an hour and a half. Each sweater takes her 6 hours. How long will it take her to knit all the outfits?..###Assistant : 48A pair of mittens takes 1 hour per mitten * 2 mittens = 2 hours. A pair of socks takes 1.5 hours per sock * 2 socks = 3 hours. So a complete outfit for each child takes 2 hours per hat + 3 hours per scarf + 2 hours per pair of mittens + 3 hours per pair of socks + 6 hours per sweater = 16 hours per outfit. So to knit winter outfits for all three of her grandchildren, Martha will take 3 outfits * 16 hours per outfit = 48 hours..

###Human : Luke takes a 70-minute bus to work every day. His coworker Paula takes 3/5 of this time to arrive by bus at work. If Luke takes a bike ride back home every day, 5 times slower than the bus, and Paula takes the bus back home, calculate the total amount of time, in minutes, they take traveling from home to work and back each day...###Assistant : 504When Luke takes the 70 - minute bus to work, his coworker Paula takes 3 / 5 * 70 = 42 minutes to travel from home to work. From work to home, Paula spends the same amount of time she spent going to work, giving a total of 42 + 42 = 84 minutes in a day traveling. From work to home, while riding the bike, Luke spends 5 * 70 = 350 minutes on the road. The total time Luke takes to travel from home to work and back is 350 + 70 = 420 minutes. Together, Luke and Paula takes 420 + 84 = 504 minutes..

###Human : Context: Stefan Kapičić voices Colossus, an X-Man with the mutant ability to transform his entire body into organic steel. Kapičić described Colossus as one of the most important characters in the film, requiring a more intense process for Kapičić during recording for the character. He explained that Colossus would continue to try make Deadpool a better person and potential X-Man after doing so in the first film. Unlike the first film, Kapičić also provided performance capture for the character's face on the sequel, while Andre Tricoteux returned to stand-in for the character on set. Leslie Uggams and Karan Soni also return from the first film as Deadpool's elderly roommate Blind Al and the taxi driver Dopinder, respectively. Additionally, Eddie Marsan plays the headmaster of the Essex Home for Mutant Rehabilitation, an orphanage; Robert Maillet briefly appears as Sluggo, an inmate of the Ice Box who originally had a more prominent antagonistic role alongside Black Tom before both roles were reduced due to the number of villains in the film; Hayley Sales and Islie Hirvonen respectively appear as Cable's wife and Hope, their daughter, during a flashforward; and Shioli Kutsuna portrays Yukio, Negasonic Teenage Warhead's girlfriend and fellow X-Man. A version of Yukio previously appeared in the 2013 film The Wolverine, portrayed by Rila Fukushima. The film's version of the X-Force team also includes Terry Crews as Bedlam, Lewis Tan as Shatterstar, Bill Skarsgård as Zeitgeist, Rob Delaney as Peter, and Brad Pitt as Vanisher. Pitt was considered for the role of Cable before scheduling issues prevented him from taking it; he filmed his Vanisher cameo in two hours during post-production.\n\nQuestion: who plays the asian girl in deadpool 2?..###Assistant : Shioli KutsunaThe relevant information to answer the above question is: Additionally, Eddie Marsan plays the headmaster of the Essex Home for Mutant Rehabilitation, an orphanage; Robert Maillet briefly appears as Sluggo, an inmate of the Ice Box who originally had a more prominent antagonistic role alongside Black Tom before both roles were reduced due to the number of villains in the film; Hayley Sales and Islie Hirvonen respectively appear as Cable's wife and Hope, their daughter, during a flashforward; and Shioli Kutsuna portrays Yukio, Negasonic Teenage Warhead's girlfriend and fellow X-Man..

###Human : Sarah's age is equal to three times Mark's age minus 4. Mark is four years older than Billy. Billy is half Ana's age. If Ana will be 15 in 3 years, how old is Sarah?..###Assistant : 26First figure out how old Ana is right now by subtracting 3 from 15: 15 - 3 = 12. Next, figure out how old Billy is by dividing Ana's age by 2: 12 / 2 = 6. Now figure out how old Mark is by adding 4 to Billy's age: 6 + 4 = 10. Now, to figure out Sarah's age, first multiply Mark's age by 3: 10 * 3 = 30. Finally, subtract 4 from triple Mark's age to find Sarah's age: 30 - 4 = 26..

###Human : Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?..###Assistant : 30First find the total time to paint the rose cups: 6 cups / 6 cups / hour = 1 hour. Then find the total time to paint the lily cups: 14 cups / 7 cups / hour = 2 hours. Then add the painting time for each type of cup to find the total painting time: 1 hour + 2 hours = 3 hours. Then divide Gina's total earnings by the number of hours she works to find her hourly wage: $90 / 3 hours = $30 / hour..

###Human : Jerry charges $20 to pierce someone's nose and 50% more to pierce their ears. If he pierces 6 noses and 9 ears, how much money does he make?..###Assistant : 390First find how much more Jerry charges to pierce one person's ears than their nose: $20 * 50% = $10. Then add that amount to the cost of nose piercing to find the total cost: $10 + $20 = $30. Then multiply that price by the number of ears he pierces to find his total earnings from ear - piercing: $30 / ear * 9 ears = $270. Then multiply the price of nose - piercing by the number of noses pierced: $20 / nose * 6 noses = $120. Then add the money from nose - piercing to the money from ear - piercing to find Jerry's total income: $120 + $270 = $390..

###Human : Mary is paying her monthly garbage bill for a month with exactly four weeks. The garbage company charges Mary $10 per trash bin and $5 per recycling bin every week, and Mary has 2 trash bins and 1 recycling bin. They're giving her an 18% discount on the whole bill before fines for being elderly, but also charging her a $20 fine for putting inappropriate items in a recycling bin. How much is Mary's garbage bill?..###Assistant : 102First find how much Mary pays weekly for the trash bins: $10 / trash bin * 2 trash bins = $20. Then add this to the cost of the recycling bin: $20 + $5 = $25. Then multiply the week cost by the number of weeks per month to find the monthly cost: $25 / week * 4 weeks / month = $100 / month. Now calculate Mary's senior discount: 18% * $100 = $18. Now subtract the discount and add the fine to find the total monthly cost: $100 - $18 + $20 = $102..

###Human : A school is getting ready to open for the year and the sports class is organizing the equipment they have been donated. In total, they have 300 donations to organize. 60 of these were basketball hoops, half of which also had basketballs included as part of the donation. 120 pool floats were donated, but a quarter of these were damaged and were discarded before the sports class arrived. There were 50 footballs, 40 tennis balls, and the remaining donations were basketballs. In total, how many basketballs have been donated?..###Assistant : 90Some of the pool floats were damaged, which means that 120 / 4 = 30 pool floats were discarded. This left the class with 120 – 30 = 90 pool floats that were actually part of the donations they need to organize. This means there were a total of 60 basketball hoops + 90 pool floats + 50 footballs + 40 tennis balls = 240 donations that were not basketballs. So out of the donations, there were 300 donations – 240 = 60 basketballs. In addition, half of the basketball hoops were donated with a basketball included which amounts to 60 basketball hoops / 2 = 30 basketballs. There was therefore a total of 60 + 30 = 90 basketballs donated..

###Human : Boston had .5 feet of snow on the first day of winter. The next day they got an additional 8 inches. Over the next 2 days, 2 inches of the snow melted. On the fifth day, they received another 2 times the amount of snow they received on the first day. How many feet of snow do they now have?..###Assistant : 212 inches is 1 foot and they received a .5 foot of snow on the first day so they received 12 * .5 = 6 inches of snow. The first day they had 6 inches and then received another 8 inches for a total of 6 + 8 = 14 inches. 2 inches melted from their 14 inches so that leaves 14 - 2 = 12 inches of snow. They received 2 times the amount as the first day's 6 inches of snow so that's 2 * 6 = 12 inches of snow. So they had 12 inches of snow and received another 12 inches of snow for a total of 12 + 12 = 24 inches. 12 inches is 1 foot and they have 24 inches of snow so they have 24 / 12 = 2 feet of snow..

###Human : It takes Nissa 10 seconds to clip each of her cats' nails. 90 seconds to clean each of her ears, and 5 minutes to shampoo her. If the cat has four claws on each foot, how many seconds does grooming her cat take total?..###Assistant : 640First find the total number of claws the cat has: 4 claws / foot * 4 feet = 16 claws. Then find the total time Nissa spends cutting the claws: 16 claws * 10 seconds / claw = 160 seconds. Then find the total time she spends cleaning the cats' ears: 90 seconds / ear * 2 ears = 180 seconds. Then find how long the shampooing takes in seconds: 5 minutes * 60 seconds / minute = 300 seconds. Then add the time she spends on each task to find the total time she spends grooming the cat: 160 seconds + 180 seconds + 300 seconds = 640 seconds..

###Human : Lilith is trying to break the world record for largest cap collection. She collects 3 caps per month in the first year, and 5 caps per month after the first year. Each Christmas, she also receives 40 caps from friends and family. She estimates that each year, she loses 15 of the caps she has collected. If Lilith has been collecting for 5 years, how many caps has she collected so far?..###Assistant : 401In the first year, Lilith collects 3 caps * 12 months = 36 caps. Every year afterwards, she collects 5 caps * 12 months = 60 caps. She does this for a total of 5 – 1 = 4 years. This is a total of 60 caps * 4 years = 240 caps. In total, she collects 36 + 240 = 276 caps by herself. Over the Christmases, she receives 40 caps * 5 years = 200 caps from friends and family. She also loses 15 caps * 5 years = 75 caps over the years. She has therefore collected 276 + 200 – 75 = 401 caps..

###Human : Cameron guides tour groups in a museum. He usually answers two questions per tourist. Today, he did four tours. The early morning first group was only 6 people. The following group was a busy group of 11. The third group had 8 people, but one was inquisitive and asked three times as many questions as usual. The last group of the day was a late group of 7. How many questions did Cameron answer?..###Assistant : 68Cameron answered 2 * 6 = 12 questions for the first group. He answered 2 * 11 = 22 questions for the second group. The third group had 8 - 1 = 7 tourists that asked 2 questions each. The third group also had 1 tourist that asked 2 * 3 = 6 questions. Thus, the third group asked 7 * 2 + 6 = 14 + 6 = 20 questions. The last group asked 7 * 2 = 14 questions. For all four tours, Cameron answered 12 + 22 + 20 + 14 = 68 questions..

###Human : There is a massive rainstorm lasting 4 days. There is an area that collects water to prevent flooding in the area. It ends up overflowing on the 4th day. The area can hold the equivalent of 6 feet of rain. It can also drain out the equivalent of 3 inches of rain per day to the nearby river without causing problems. The first day it rained 10 inches. The second day it rained twice that much. On the third day, it rained 50% more than the second day. It flooded the fourth day before getting a chance to do any of the draining. What is the minimum amount it rained on the fourth day?..###Assistant : 21The second day it rained 10 * 2 = 20 inches. On the third day it rained 20 * 1.5 = 30 inches. So in the first 3 days, it rained 10 + 20 + 30 = 60 inches. It drained 4 - 1 = 3 days. So it drained 3 * 3 = 9 inches. That means on the start of the fourth day, there were 60 - 9 = 51 inches in the pond. The area can hold 6 * 12 = 72 inches. So it rained at least 72 - 51 = 21 inches..

###Human : Rick likes to separate his collection of books into various groups by genre. He has 400 books in total and proceeds to divide them into two separate equally-sized categories repeatedly until he has each book in a category with 24 other books. How many times must he break these groups into smaller groups to accomplish this?..###Assistant : 4Rick starts with 400 books and divides them into two categories of equal size, meaning there are two categories of 400 / 2 = 200 books. Rick repeats this process again, dividing the 200 book categories into equal halves, leaving him with 200 / 2 = 100 books in each. Rick repeats this process again, dividing the 100 book categories into equal halves, leaving him with 100 / 2 = 50 books in each. Rick repeats this process again, dividing the 50 book categories into equal halves, leaving him with 50 / 2 = 25 books in each. Since Rick is looking for categories with 25 books in each, he accomplishes this by the 4th step..

###Human : A spaceship is traveling to another planet. The spaceship travels at a consistent speed its entire journey unless it is stopped for the crew’s break. After launch, the spaceship traveled for 10 hours then stopped for 3 hours. It then traveled for another 10 hours then stopped for 1 hour. After this, the spaceship would take an hour’s break after every 11 hours of traveling and maintained this routine until the end of its journey. If the entire journey took 3 days then how long, in hours, was the spaceship not moving?..###Assistant : 8On the first day, the spaceship spent a total of 10 hours + 10 hours = 20 hours traveling. On the first day, the spaceship spent a total of 3 hours + 1 hour = 4 hours not moving. This is a total of 20 hours traveling + 4 hours not moving = 24 hours or 1 day. So the rest of the journey took place over 3 days journey – 1 first day = 2 days. This is the same as 2 days * 24 hours = 48 hours. In these 2 days, the spaceship’s time is split into 11 hours traveling + 1 hour break = 12 hour blocks. So in the last 2 days, the spaceship wasn't moving for a total of 48 hours / 12 hour blocks = 4 hours. Adding this to breaks from the first day shows that the spaceship was not moving for a total of 4 + 4 = 8 hours..

###Human : Trip wanted to watch the new action movie in theaters. An evening ticket cost $10 and a large popcorn & drink combo would cost him an additional $10. He noticed on their website, they had a special offer. From 12 noon to 3 pm, save 20% off tickets and 50% off any food combos. How much money could Trip save by going to the earlier movie?..###Assistant : 7An evening movie is $10 and the food combo would be $10 so 10 + 10 = $20. If he goes to an earlier movie, it's 20% off the normal ticket price of $10 so 10 * .20 = $2. If he goes to an earlier movie, it's 50% off the normal food price of $10 so 10 * .50 = $5. If he saves $2 for the ticket and $5 on food, then 2 + 5 = $7 saved..

###Human : There are four growing trees. The first tree grows 1 meter/day, the second grows the same amount in half the time, the third grows 2 meters/day, and the fourth tree grows a meter more than the third each day. How many meters did the trees grow in total in 4 days?..###Assistant : 32The second tree grows 1 * 2 = 2 meters a day. The fourth tree grows 2 + 1 = 3 meters a day. The first tree grows 4 * 1 = 4 meters in 4 days. The second tree grows 2 * 4 = 8 meters in 4 days. The third tree grows 2 * 4 = 8 meters in 4 days. The fourth tree grows 3 * 4 = 12 meters in 4 days. In 4 days, all four trees grew 4 + 8 + 8 + 12 = 32 meters combined..

###Human : To buy a book, you pay $20 for each of the first 5 books at the supermarket, and for each additional book you buy over $20, you receive a discount of $2. If Beatrice bought 20 books, how much did she pay at the supermarket?..###Assistant : 370For the first five books, the total cost is $20 * 5 = $100. For every additional book over $5, you pay $2 less, totaling to $20 - $2 = $18. Beatrice bought 20 books, so the number of books at which she received the $2 discount is 20 - 5 = 15 books. For the 15 books, Beatrice paid 15 * $18 = $270. In total, Beatrice paid $100 + $270 = $370 for the 20 books..

###Human : Ten percent less than twice the total number of students present in the science class yesterday have attended class today. If there were 70 students in the class yesterday and 30 students are absent today, calculate the number of students registered for the course...###Assistant : 156Twice the number of students present in the science class yesterday is 70 * 2 = 140. Ten percent less than twice the number of students present in the class yesterday means there are 10 / 100 * 140 = 14 fewer students than twice the number present yesterday. The number of students present in the science class today is 140 - 14 = 126. If the total number of registered students for the course who are absent today is 30, a full class of the science course has 126 + 30 = 156 students..

###Human : Malcolm is trying to find the fastest walk to school and is currently comparing two routes. In the first route, he walks for 6 minutes uphill, walks for twice this amount of time along a path, then finishes the journey in a third of the time it took to walk the first two stages. In the second route, he walks along a flat path for 14 minutes, then finishes the walk in twice this amount of time. In minutes, how much longer was the second route compared with the first?..###Assistant : 18In the first route, Malcolm spends 6 minutes * 2 = 12 minutes walking along the path. So in total, the first two stages of this route take him 6 + 12 = 18 minutes. This means the final part of the journey took him 18 / 3 = 6 minutes. Therefore, the total time it takes to walk the first route is 18 + 6 = 24 minutes. In the second route, the second stage takes him 14 * 2 = 28 minutes. So the second route takes a total of 28 + 14 = 42 minutes to walk. The second route therefore takes an extra 42 minutes for the second route – 24 minutes for the first route = 18 minutes..

###Human : A small zoo houses a variety of 68 wild animals. After they send a gorilla family of six to a different zoo, they adopt a hippopotamus from another zoo. A while later, an animal rescue contacted them, and the zoo took in three endangered rhinos. Then one of their lionesses gave birth to cubs, and they opened a meerkat exhibit with twice as many meerkats as they had gained lion cubs. The zoo then had 90 animals in all. How many lion cubs were born at the zoo?..###Assistant : 8Let C be the number of lion cubs. There are 2C meerkats in the new exhibit. The zoo sent 4 gorillas away, so they had 68 - 6 = 62 animals left. They adopted a hippopotamus, so they had 62 + 1 = 63 animals. They took in 3 rhinos, so they had 63 + 3 = 66 animals. Thus, they had 90 - 66 = 24 new lion cubs and meerkats. Therefore, they had C + 2C = 3C = 24 new lion cubs as meerkats. Hence, there were C = 24 / 3 = 8 lion cubs born..

###Human : Reese had a sum of money in her savings account. The company she used to work with was not doing well which is why she lost her job. So she spent 20% of her savings for her expenses in February, 40% of it in March, and $1500 in April. How much did she have in her savings account if she still has $2900 after spending those amounts?..###Assistant : 11000The total percentage of money that Reese spent in February and March is 20% + 40% = 60%. This means the April expenses and the money left in her account make up 100% - 60% = 40% of her savings. Reese had $2900 + $1500 = $4400 for the April expenses and the money left in her account. So, $4400 is equal to 40% which means every 1% is equal to $4400 / 40 = $110. Therefore, Reese originally had $110 x 100 = $11000 in her savings account..

###Human : Stephanie is moving into a new apartment. She needs to figure out how many pieces of silverware she should purchase. She needs spoons, butter knives, steak knives, and forks. For herself she figures 5 of each would be sufficient. But in case she has guests, she wants to have 10 extra pieces of each type. Then she realizes that if everything is clean at the same time, that she will have too many of everything and not enough room to fit them in her kitchen silverware drawer. So she decides to purchase 4 fewer spoons, 4 fewer butter knives, 5 fewer steak knives, and 3 fewer forks. How many pieces total of all the silverware is Stephanie going to buy?..###Assistant : 44Stephanie wants to get 5 each of each type of silverware for herself. 5 spoons + 5 butter knives + 5 steak knives + 5 forks = 20 pieces of silverware. She wants 10 extra of each type for guests, 10 x 4 = 40. She decides to purchase less of each type. She was originally purchasing 15 of each type. 15 spoons - 4 less spoons = 11 spoons. 15 butter knives - 4 less = 11. 15 steak knives - 5 = 10. 15 forks - 3 less forks = 12. Stephanie is going to purchase 11 spoons, 11 butter knives, 10 steak knives, and 12 forks. 11 + 11 + 10 + 12 = 44. Stephanie is going to purchase 44 pieces of silverware..

###Human : Miriam has five times as many albums as Katrina. Katrina has six times the number of albums as Bridget. Bridget has 15 fewer albums than Adele. How many albums do they have together if Adele has 30 albums?..###Assistant : 585Since Adele has 30 albums, and Bridget has 15 fewer, Bridget has 30 - 15 = 15 albums. Together, Bridget and Adele has 30 + 15 = 45 albums. Katrina has six times the number of albums as Bridget, a total of 15 * 6 = 90 albums. Adele, Bridget, and Katrina have a total of 90 + 45 = 135 albums together. Miriam has five times the number of albums as Katrina, a total of 5 * 90 = 450 albums. Together, Adele, Bridget, Katrina, and Miriam have 135 + 450 = 585 albums..

###Human : Marge had a winning lottery ticket for $12006 and wanted to spend some of it wisely before using on any fun things. She paid half of the lottery amount for the taxes on her winnings, then put a third of the leftover money towards her student loans. She put $1000 in savings and invested a fifth of that amount in the stock market. How many dollars does she have left for fun?..###Assistant : 2802Marge used half the $12006 for taxes, so she had 12006 / 2 = $6003 left. She used 1 / 3 of the leftover money on student loans, so she paid 6003 / 3 = $2001. After paying the student loans, she had 6003 - 2001 = $4002 left. She put $1000 in savings, so she had 4002 - 1000 = $3002 left. She invested 1000 / 5 = $200 in the stock market. After investing, she had 3002 - 200 = $2802 left for fun..

###Human : Jason spent 1/4 of his money and an additional $10 on some books. He then spent 2/5 of the remaining money and an additional $8 on some DVDs. If he was left with $130, how much money did he have at first?..###Assistant : 320Let X be the money Jason had at first. Jason spent 1 / 4 * X + 10 on books. Jason spent 2 / 5 * [X - (1 / 4 * X + 10)] + 8 on some DVDs. Jason has X - (1 / 4 * X + 10) - {2 / 5 * [X - (1 / 4 * X + 10)] + 8} = $130 left. X - 1 / 4 * X - 10 - 2 / 5 * X + 1 / 10 * X + 4 - 8 = $130. 9 / 20 * X - 14 = $130. X = $320..

###Human : Susan had a sum of money. She spent 1/5 of it in September, 1/4 of it in October, and $120 in November. After spending these amounts of money, she still had $540 left. How much money did she have at first?..###Assistant : 1200Let X be the amount Susan had originally. Susan spent 1 / 5 * X in September, 1 / 4 * X in October, and $120 in November. Susan has X - 1 / 5 * X - 1 / 4 * X - $120 = $540 left. Combining like terms, we get 11 / 20 * X - $120 = $540. Adding $120 to both sides, we get 11 / 20 * X = $660. Dividing both sides by 11 / 20 we get X = $1200..

###Human : A family has three adults and children, both girls and boys. They went out for a family trip and prepared 3 dozen boiled eggs for the trip. Every adult got 3 eggs, and the boys each received 1 more egg than each girl since the girls had some snacks. How many boys went on the trip if the number of girls was 7 and each girl received an egg?..###Assistant : 10The total number of eggs the family had is 3 * 12 = 36 eggs. If each adult received 3 eggs, the total number of eggs they got is 3 * 3 = 9 eggs. The children shared 36 - 9 = 27 eggs. Since each girl received an egg, the boys shared 27 - 7 = 20 eggs. If each boy received 1 egg more than each girl, each received 1 + 1 = 2 eggs. The boys received 20 eggs, and if each got 2 eggs, then 20 / 2 = 10 boys went on the trip..

###Human : Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if 1 of them falls off the slice when Lard picks it up?..###Assistant : 9First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 1 * 2 = 2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 2 * 2 = 4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices, as the pepperoni was spread evenly. We find there are 40 / 4 = 10 slices of pepperoni per pizza slice. Since 1 slice of pepperoni fell off Jelly's slice, this means there are 10 - 1 = 9 slices left on her slice..

###Human : Jake's neighbors hire him to mow their lawn and plant some flowers. Mowing the lawn takes 1 hour and pays $15. If Jake wants to make $20/hour working for the neighbors, and planting the flowers takes 2 hours, how much should Jake charge (in total, not per hour) for planting the flowers?..###Assistant : 45First figure out how many hours total Jake works by adding the time spent mowing the lawn to the time spent planting flowers: 1 hour + 2 hours = 3 hours. Then figure out how much money Jake makes if he earns $20 / hour for three hours by multiplying the time spent by the pay rate: $20 / hour * 3 hours = $60. Then subtract the money Jake gets paid for mowing the lawn from the total to find how much he should charge in total for planting the flowers: $60 - $15 = $45..

###Human : Dan's skateboarding helmet has ten more craters than Daniel's ski helmet. Rin's snorkel helmet has 15 more craters than Dan's and Daniel's helmets combined. If Rin's helmet has 75 craters, how many craters are in Dan's helmet?..###Assistant : 35If Rin's snorkel helmet has 75 craters, then Dan's and Daniel's helmets combined have 75 - 15 = 60 craters. Let's assume Dan's helmet has C craters. Since Dan's skateboarding helmet has ten more craters than Daniel's ski helmet, the total number of craters their helmets have is C + (C - 10) = 60. 2C = 60 + 10. The total number of craters that Dan's helmet has is C = 70 / 2. Dan's skateboarding helmet has 35 craters..

###Human : Mr Castiel prepared 600 boar sausages on the weekend. He ate 2/5 of them on Monday, half of the remaining on Tuesday and saved the rest for Friday. If he ate 3/4 of the remaining boar sausages on Friday, how many sausages are left?..###Assistant : 45On Monday, Mr Castiel ate 2 / 5 * 600 = 240 sausages. The remaining number of sausages after he ate 240 on Monday is 600 - 240 = 360. On Tuesday, he ate half of the remaining sausages, a total of 360 / 2 = 180. The remaining number of sausages that he saved for Friday after eating 180 on Tuesday is 360 - 180 = 180. On Friday, Mr Castiel ate 3 / 4 * 180 = 135 of the sausages he had kept. The remaining number of sausages after he ate 135 on Friday is 180 - 135 = 45..

###Human : Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is 10% of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses?..###Assistant : 249Let x be Luna's house rental budget. The total budget for house and food rental is represented by the equation x + (60x / 100) = 240. The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. By combining like terms, the equation becomes 160x = 24000. Thus, the value of x is 24000 / 160 = 150 which represents the house rental budget. So, Luna's food budget is $240 - $150 = $90. Her phone bill budget is $90 x 10 / 100 = $9. Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $249..

###Human : Kris is blowing u balloons for her sister’s party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother’s help to increase the number of balloons. Kris can blow up a total of 2 balloon per minute, and her brother works twice as fast. After 15 minutes, her brother doubles his speed and works at this new speed for the remaining 15 minutes. After the 30 minutes, how many balloons, in total, did Kris and her brother blow up?..###Assistant : 240Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = 60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute * 2 = 4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute * 15 minutes = 60 balloons. In the second 15 minutes, he is working at double the rate he did previously, so he blows up 4 balloons per minute * 2 = 8 balloons per minute. In the second 15 minutes, Kris’ brother therefore blows up 8 balloons per minute * 15 minutes = 120 balloons. Throughout the 30 minutes, he has blown up a total of 60 + 120 = 180 balloons. Kris and her brother therefore blew up a total of 60 balloons from Kris + 180 balloons from Kris’ brother = 240 balloons..

###Human : Jacque arrived in France and his suitcase weighed 5 pounds. While in France, he picked up 5 bottles of perfume that weighed 1.2 ounces each, 4 pounds of chocolate, 2 bars of soap that weighed 5 ounces each and 2 jars of jam that weighed 8 ounces each. Considering 16 ounces is the same as 1 pound, how much did Jacque's suitcase weigh on the return flight home?..###Assistant : 11He bought 5 bottles of perfume that weighed 1.2 oz each so they weighed 5 * 1.2 = 6 oz. 2 bars of soap weighed 5 oz each so they weighed 2 * 5 = 10 oz. 2 jars of jam weighed 8 oz each so they weighed 2 * 8 = 16 oz. The perfume is 6 oz, the soap is 10 oz and the jam is 16 oz for a total of 6 + 10 + 16 = 32 oz. 16 oz is 1 pound, and he had 32 oz in products so he had 32 / 16 = 2 pounds of products. His suitcase weighed 5 pounds, and the chocolate weighed 4 pounds and the remaining products weighed 2 pounds so his suitcase weighed 5 + 4 + 2 = 11 pounds..

###Human : Geordie takes a toll road on his drive to work and back every day of his five-day workweek. The toll is $12.50 per car or $7 per motorcycle. Both his car and his motorcycle get 35 miles per gallon of gas and the commute to work is 14 miles. Gas costs him $3.75 per gallon. Geordie drives his car to work three times a week and his motorcycle to work twice a week. How many dollars does he spend driving to work and back on the same route in a week?..###Assistant : 118Geordie pays 12.50 * 3 = $37.50 for car tolls driving to work three times a week. He pays 7 * 2 = $14 for motorcycle tolls driving to work twice a week. He drives 14 * 5 = 70 miles to work each five - day workweek. He uses 70 / 35 = 2 gallons of gas on the drive. He spends 3.75 * 2 = $7.50 on gas each week. Thus, he spends 37.50 + 14 + 7.50 = $59 driving to work. Since he drives to work and back from work, he spends 59 * 2 = $118 a week..

###Human : Bill and Ted went into the forest to gather some wild mushrooms. Bill gathered 12 red mushrooms and 6 brown mushrooms. Ted gathered 14 green mushrooms and 6 blue mushrooms. If half of the blue mushrooms, two-thirds of the red mushrooms, and all of the brown mushrooms have white spots, how many white-spotted mushrooms did they gather?..###Assistant : 17Of the 12 red mushrooms, 2 / 3 had spots, for a total of (2 / 3) * 12 = 8 white - spotted mushrooms. Of the 6 brown mushrooms, 100% had spots, for a total of (100 / 100) * 6 = 6 white - spotted mushrooms. Of the 14 green mushrooms, 0% had white spots, for a total of 14 * 0 = 0 white - spotted mushrooms. And of the 6 blue mushrooms, half had spots, for a total of (1 / 2) * 6 = 3 white - spotted mushrooms. In total, they gathered 8 + 6 + 0 + 3 = 17 white - spotted mushrooms..

###Human : Joseph and his friends watched two movies in his house. The first movie is 1 hour and 30 minutes long while the second movie is 30 minutes longer than the first. Before the movies, they spent 10 minutes making popcorn and twice as long making fries. How long, in hours, did it take Joseph and his friends to cook and watch the movies?..###Assistant : 4The first movie was 60 + 30 = 90 minutes long since an hour has 60 minutes. The second movie was 90 + 30 = 120 minutes long. It took them a total of 90 + 120 = 210 minutes to watch the two movies. It took them 10 x 2 = 20 minutes to cook the fries. Thus, it took them a total of 10 + 20 = 30 minutes to cook. So, they spent 210 + 30 = 240 minutes watching the movies and cooking. In hours, this is equal to 240 / 60 = 4 hours..

###Human : Krystiana owns an apartment building. The rooms on the first floor cost $15 per month and the rooms on the 2nd floor cost $20 per month. The rooms on the third floor cost twice as much as the rooms on the first floor, but only two rooms are occupied. If each floor has 3 rooms, how much does Krystiana earn every month?..###Assistant : 165Krystiana earns $15 x 3 = $45 for the rooms on the first floor every month. She earns $20 x 3 = $60 for the rooms on the second floor every month. And the cost for each room on the third floor is $15 x 2 = $30. So, the total amount she earns for the rooms on the third floor is $30 x 2 = $60 every month. Therefore, the total amount she earns from the apartment building is $60 + $60 + $45 = $165..

###Human : Sam works at the Widget Factory, assembling Widgets. He can assemble 1 widget every 10 minutes. Jack from the loading dock can help assemble widgets when he doesn't have anything else to do. When he helps, they put together 2 complete widgets every 15 minutes. Recently the factory hired Tony to help assemble widgets. Being new to the job, he doesn't work as fast as Sam or Jack. Yesterday Sam worked for 6 hours before he had to leave work early for a dentist appointment. Jack was able to help out for 4 hours before he had to go back to the loading dock to unload a new shipment of widget materials. Tony worked the entire 8-hour shift. At the end of the day, they had completed 68 widgets. How long does it take Tony to assemble a Widget, in minutes?..###Assistant : 30Sam completes a widget every 10 minutes. When Jack helps they finish 2 in 15 minutes. Sam has finished 1 widget and has begun working on another one, and Jack finishes the second one at 15 minutes. So it takes Jack 15 minutes to complete a widget. Sam worked for 6 hours yesterday, so he was able to complete 6 hours * 60 minutes per hour / 10 minutes per widget = 36 widgets. Jack worked for 4 hours, so he was able to complete 4 hours * 60 minutes per hour / 15 minutes per widget = 16 widgets. Sam, Jack, and Tony were able to complete 68 widgets together. So of those, Tony personally completed 68 widgets - 36 widgets - 16 widgets = 16 widgets. It took Tony 8 hours to complete those 16 widgets, so he takes 8 hours * 60 minutes per hour / 16 widgets = 30 minutes per widget..

###Human : Remi wants to drink more water. He has a refillable water bottle that holds 20 ounces of water. That week Remi refills the bottle 3 times a day and drinks the whole bottle each time except for twice when he accidentally spills 5 ounces the first time and 8 ounces the second time. In 7 days how many ounces of water does Remi drink?..###Assistant : 407Remi drinks the same amount of water every day for a week except for when he spills some of it. His water bottle holds 20 ounces which he drinks 3 times a day, 20 x 3 = 60 ounces a typical day. Over 7 days, without spilling anything, Remi drinks 60 ounces x 7 days = 420 ounces. Except Remi spills 8 + 5 ounces of water during the week = 13 ounces of water Remi spills. Total, Remi drinks 420 ounces - 13 ounces of spilled water = 407 ounces Remi drank during the week..

###Human : If n is the smallest integer such that 432 times n is the square of an integer, what is the value of n?\nOptions:\n(A) 2\n(B) 3\n(C) 6\n(D) 12\n(E) 24..###Assistant : (B)The prime factorization of a square has to have even powers of all its prime factors. If the original number has a factor, say of 7, then when it’s squared, the square will have a factor of 7^2. Another way to say that is: any positive integer all of whose prime factors have even powers must be a perfect square of some other integer. Look at the prime factorization of 432\n432 = (2^4)*(3^3)\nThe factor of 2 already has an even power —- that’s all set. The factor of 3 currently has an odd power. If n = 3, then 432*n would have an even power of 2 and an even power of 3; therefore, it would be a perfect square. Thus, n = 3 is a choice that makes 432*n a perfect square..

###Human : Tiffany attends the carnival and her mother gives her $3 to play on a ring toss game. For every red bucket she tosses a ring into she gets 2 points. For every green bucket she gets three points. She gets zero points for a miss. Every play costs her $1 and she gets 5 rings per play. She's played two games and already gotten 4 red buckets and 5 green buckets. If she plays until her money runs out, what is the most total points she can get for all three games?..###Assistant : 38She has 8 points from red buckets because 4 x 2 = 8. She has 15 points from green buckets because 5 x 3 = 15. She has spent $2 on games because 2 x 1 = 2. She has $1 left to spend because 3 - 2 = 1. She can play one more game because 1 / 1 = 1. The best bucket gives three points because 3 > 2. The most she can earn in the final game is 15 because 5 x 3 = 15. The most she can score overall is 38 because 8 + 15 + 15 = 38..

###Human : Due to the restrictions of Coronavirus, Mr. Trent, the local store owner, increased the prices of goods at his store by 15% each to make the same income he was making before. If buying an orange was $40 and the price of purchasing a mango was $50, calculate how much it costs in total now to buy ten oranges and ten mangoes at the new prices...###Assistant : 1035If the initial price of orange was $40, after the increase, the price rose by 15 / 100 * $40 = $6. The total price of buying an orange at the new price is $6 + $40 = $46. For the mango, the price increased by 15 / 100 * $50 = 7.5. The price of purchasing a mango at the new price is $50 + $7.5 = 57.5. To buy ten oranges it would cost $46 * 10 = $460. To buy 10 mangoes, it now costs $57.5 * 10 = $575. The total cost of buying ten oranges and ten mangoes is $575 + $460 = $1035..

###Human : Matt has six cats and half of them are female. If each female cat has 7 kittens, and Matt sells 9 of them, what percentage of his remaining cats are kittens (rounded to the nearest percent)?..###Assistant : 67First find the number of cats that are females: 6 cats / 2 = 3 cats. Then find the total number of kittens born: 7 kittens / cat * 3 cats = 21 kittens. Then subtract the 9 kittens that were sold: 21 kittens - 9 kittens = 12 kittens. Then add the number of kittens to the number of adult cats to find the total number of cats: 12 kittens + 6 cats = 18 cats. Then divide the number of kittens by the total number of cats and multiply by 100% to find the percentage of cats that are kittens: 12 kittens / 18 cats * 100% = 66.666...%, which rounds up to 67%..

###Human : Mandy is ten years older than Jackson. Adele is 3/4 as old as Jackson. What's the total of their ages 10 years from now If Jackson is 20 years old now?..###Assistant : 95In ten years, Jackson will be 20 + 10 = 30 years old. If Jackson is 20 now, Mandy is 20 + 10 = 30 years old. Ten years from now, Mandy will be 30 + 10 = 40 years old. The combined age of Jackson and Mandy ten years from now is 30 + 40 = 70 years. Adele is 3 / 4 times as old as Jackson, meaning she is 3 / 4 * 20 = 15 years old. Adele's age will be 10 + 15 = 25 years old ten years from now. Altogether, Mandy, Jackson, and Adele will have a total of 25 + 70 = 95 years..

###Human : A tree had 1000 leaves before the onset of the dry season, when it sheds all its leaves. In the first week of the dry season, the tree shed 2/5 of the leaves. In the second week, it shed 40% of the remaining leaves. In the third week, the tree shed 3/4 times as many leaves as it shed on the second week. Calculate the number of leaves the tree hadn't shed by the third week...###Assistant : 90In the first week, the tree shed 2 / 5 * 1000 = 400 leaves. The number of leaves remaining on the tree at the end of the first week is 1000 - 400 = 600. In the second week, the tree shed 40 / 100 * 600 = 240 leaves. The number of leaves remaining on the tree is 600 - 240 = 360. The third week the tree shed 3 / 4 of its leaves, a total of 3 / 4 * 360 = 270 leaves. The number of leaves remaining on the tree is 360 - 270 = 90 leaves..

###Human : Clarissa is responsible for getting 10 copies of a manuscript printed and having each copy bound. The printers charge $0.05 per page to copy it and $5.00 per manuscript to have it bound. If the manuscript is 400 pages, how much will it cost to have it copied and bound 10 times?..###Assistant : 250The manuscript is 400 pages and the printers charge $0.05 per page for a total of 400 * .05 = $20.00 per manuscript. She needs 10 copies made and it costs $20.00 per manuscript so that's 10 * 20 = $200.00. She also needs each of the 10 copies to be bound, which is $5.00 per manuscript so that's 5 * 10 = $50.00. It will cost $200.00 to have them printed and $50.00 to have them bound for a total of 200 + 50 = $250.00..

###Human : Cynewulf lived roughly c. 770 -- 840 AD, yet very little is known about his life. The only information scholars have on Cynewulf's life is what they can discover from his poetry. Two of Cynewulf's signed poems were discovered in the Vercelli Book, which includes Cynewulf's holy cross poem "Elene" as well as Dream of the Rood. Where many scholars will argue that all of the poems in the Vercelli are in fact Cynewulf's, the noted German scholar Franz Dietrich demonstrates that the similarities between Cynewulf's "Elene" and The Dream of the Rood reveals that the two must have been authored by the same individual. Dietrich makes four main arguments: one, the theme of both poems is the cross, and more importantly, in both poems, the cross suffers with Christ; two, in "Elene" Cynewulf seems to make clear references to the same cross in Dream of the Rood; three, in "Elene" and his other poems Cynewulf usually speaks of himself, which makes it quite possible that the dreamer in Dream of the Rood is none other than Cynewulf himself; and finally four, "In both poems the author represents himself as old, having lost joys or friends and as ready to depart.\n\nBased on this passage, who is the dreamer in the dream of the rood?..###Assistant : CynewulfTo answer the question, consider the following: Dietrich makes four main arguments: one, the theme of both poems is the cross, and more importantly, in both poems, the cross suffers with Christ; two, in "Elene" Cynewulf seems to make clear references to the same cross in Dream of the Rood; three, in "Elene" and his other poems Cynewulf usually speaks of himself, which makes it quite possible that the dreamer in Dream of the Rood is none other than Cynewulf himself; and finally four, "In both poems the author represents himself as old, having lost joys or friends and as ready to depart..

###Human : Jason is hiring two construction workers, one electrician and one plumber. If the construction workers each make $100/day, the electrician makes double what a worker is paid and the plumber makes 250% of a worker's salary, how much are the overall labor costs for one day?..###Assistant : 650First find how much the electrician earns per day: $100 / day * 2 = $200 / day. Then find how much the plumber earns per day: $100 / day * 250% = $250 / day. Then find how much both workers pay together: $100 / day / worker * 2 workers = $200 / day. Then add the cost of each worker to find the total labor cost per day: $200 / day + $250 / day + $200 / day = $650 / day..

###Human : For every black & white cookie that Elsa makes, she has to make the batter, bake the cookies for 15 minutes and then allow to cool. She then has to dip the cookies in white icing and allow the icing to harden for 30 minutes. Then she has to re-dip them in chocolate icing and allowed to harden for an additional 30 minutes. If it takes her 2 hours to make the cookies from start to finish, how long does it take to make the dough and cool the cookies before she can start dipping them?..###Assistant : 45It takes 15 minutes to bake, 30 minutes for the white icing to harden and 30 minutes for the chocolate icing to harden so it takes 15 + 30 + 30 = 75 minutes. Every hour has 60 minutes and it takes her 2 hours so it takes 60 * 2 = 120 minutes to make the cookies. It takes 120 minutes to make the cookies from start to finish and she spends 75 minutes baking and hardening icing so it takes her 120 - 75 = 45 minutes to make the batter and cool the cookies..

###Human : Valerie needs to put stamps on the envelopes she is about to mail. She has thank you cards for each of her grandmother, uncle and aunt for the birthday presents they sent. She also has to pay the water bill and the electric bill separately. She wants to send three more mail-in rebates than she does bills and she has twice as many job applications as rebates to mail. How many stamps does she need if everything needs 1 stamp except the electric bill, which needs 2?..###Assistant : 21Valerie has to send a thank you card to each of 3 people, so she has 3 * 1 = 3 thank you cards to mail. She has 2 bills to mail. She has 3 more rebates than bills, so 3 + 2 = 5 mail - in rebates to mail. She has twice as many job applications as rebates, so she has 2 * 5 = 10 applications to mail. She has 3 + 2 + 5 + 10 = 20 pieces of mail to send. The electric bill needs an extra stamp, so she needs 20 + 1 = 21 stamps..

###Human : Lilah's family gallery has 400 photos. On a two-day trip to the Grand Canyon, they took half as many photos they have in the family's gallery on the first day and 120 more photos than they took on the first day on the second day. If they added all these photos to the family gallery, calculate the total number of photos in the gallery...###Assistant : 920On their first day to the grand canyon, the family took half as many photos as the ones they have in the gallery, meaning they took 1 / 2 * 400 = 200 photos. The total number of photos if they add the ones they took on the first day to the family's gallery is 400 + 200 = 600. On the second day, they took 120 more photos than they took on the first day, a total of 200 + 120 = 320 photos. After adding the photos they took on the second day to the galley, the number of photos will be 600 + 320 = 920..

###Human : Jimmy is setting up a garden. He has three plots: one plot for green beans, one plot for carrots, and one plot for corn. Each corn plant produces 5 times as many servings of veggies as each carrot, and each green bean plant produces half as many servings as each corn plant. If each carrot produces 4 servings of vegetables, and each plot has 9 plants, how many servings of vegetables is Jimmy growing?..###Assistant : 306First, find how many servings one corn plant produces by multiplying the number of carrot servings by 5: 4 servings * 5 = 20 servings. Then find how many servings one green bean plant produces by dividing the number of corn servings by two: 20 servings / 2 = 10 servings. Now multiply the number of servings per carrot plant by the number of carrot plants: 4 servings / plant * 9 plants = 36 servings. Do the same for corn: 20 servings / plant * 9 plants = 180 servings. And do the same for green beans: 10 servings / plant * 9 plants = 90 servings. Now add up the servings for all three types of plant: 36 servings + 180 servings + 90 servings = 306 servings..

###Human : The age of a lioness in a park is twice the age of a hyena in the same park. The lioness is 12 years old. If the babies of the two animals are half the age of their mothers, calculate the sum of the age of the babies in five years...###Assistant : 19If the lioness is 12 years old, the hyena, half her age, is 12 / 2 = 6 years old. The baby of the lioness is 12 / 2 = 6 years old, half the mother's age. Five years from now, the age of the lioness's cub will be 6 + 5 = 11. The baby of the hyena is 6 / 2 = 3 years old, which is half the mother's age. The hyena's baby will be 3 + 5 = 8 years old in five years. Together, the total age of the babies will be 8 + 11 = 19 years in five years..

###Human : Norma takes her clothes to the laundry. She leaves 9 T-shirts and twice as many sweaters as T-shirts in the washer. When she returns she finds 3 sweaters and triple the number of T-shirts. How many items are missing?..###Assistant : 15Norma left 9 T - shirts And twice as many sweaters, she took 9 * 2 = 18 sweaters. Adding the T - shirts and sweaters, Norma left 9 + 18 = 27 clothes. When she came back, she found 3 sweaters And triple the number of T - shirts, she found 3 * 3 = 9 T - shirts. Adding the T - shirts and sweaters, Norma found 3 + 9 = 12 clothes. Subtracting the clothes she left from the clothes she found, 27 - 12 = 15 clothes are missing..

###Human : Candace is trying to decide whether to wear her old shoes or new high-tech shoes for a hike. The high-tech shoes will help Candace walk twice as fast, but they're not broken in yet, so she'll get 1 blister after every 2 hours she spends walking in them. Each blister slows Candance down by 2 miles per hour. If Candance walks 6 miles per hour in the old shoes and plans to hike for 4 hours, how many miles per hour can she go in the new shoes?..###Assistant : 11Wearing the high - tech shoes, Candace can hike 6 mph * 2 = 12 mph for the first two hours. Then she gets one blister, so her speed drops to 12 mph - 2 mph = 10 mph for the next two hours of the hike. After that time Candace gets another blister, but 2 hours + 2 hours = 4 hours, so the hike is over and we don't care about her speed anymore. Candace spends an equal amount of time walking at 12 mph and 10 mph, so we can average the two speeds to find an overall speed of (12 mph + 10 mph) / 2 = 11 mph..

###Human : Laran has started a poster business. She is selling 5 posters per day at school. Two posters per day are her large posters that sell for $10. The large posters cost her $5 to make. The remaining posters are small posters that sell for $6. They cost $3 to produce. How much profit, in dollars, does Laran make per 5-day school week?..###Assistant : 95The profit made for each large poster is $10 - $5 = $5. Each day Laran earns $5 * 2 = $10 from selling large posters. The profit made for each small poster is $6 - $3 = $3. Each day Laran earns $3 * 3 = $9 from selling small posters. Laran makes a total profit of $10 + $9 = $19 per day. For a 5 day school week, Laran makes a profit of 5 * $19 = $95..

###Human : Mason is a caterer packing up silverware and plates for a big corporate event. Each piece of silverware weighs 4 ounces, and there are three pieces of silverware per setting. Each plate weighs 12 ounces, and there are two plates per setting. If Mason needs enough settings for 15 tables with 8 settings each, plus 20 backup settings in case of breakage, how many ounces will all the settings weigh?..###Assistant : 5040First find the total weight of the silverware per setting: 4 ounces / piece * 3 pieces / setting = 12 ounces / setting. Then find the total weight of the plates per setting: 12 ounces / plate * 2 plates / setting = 24 ounces / setting. Then add those two amounts to find the total weight per setting: 12 ounces / setting + 24 ounces / setting = 36 ounces / setting. Then multiply the number of tables by the number of settings per table to find the number of table settings: 15 tables * 8 settings / table = 120 settings. Then add the 20 backup settings to find the total number of settings: 120 settings + 20 settings = 140 settings. Then multiply the total number of settings by the weight per setting to find the total weight: 140 settings * 36 ounces / setting = 5040 ounces..

###Human : Carla needs to drive her car to do a bunch of errands. She needs to drive 8 miles to the grocery store, 6 miles to pick up her kids from school, 12 miles to drop her kids off at soccer practice, and twice the distance from the school to soccer practice to get everyone home again. If Carla's car gets 25 miles per gallon, and gas costs $2.50, how much will Carla have to spend on gas for her trip?..###Assistant : 5First find the distance between soccer practice and home by multiplying the distance between soccer practice and school by 2: 12 miles * 2 = 24 miles. Then find the total distance Carla drives by adding the length of each trip: 24 miles + 12 miles + 6 miles + 8 miles = 50 miles. Then find how many gallons of gas she needs by dividing the distance of the trip by her car's gas mileage: 50 miles / 25 mpg = 2 gallons. Then multiple the gallons of gas by the price per gallon to find the total cost: 2 gallons * $2.50 = $5..

###Human : Lyla, a grocery store owner, bought rice weighing 30 kg less than green beans, which weigh 10 kg more than sugar. While carrying the goods to the store, the bags fell down and 1/3 weight of the rice and 1/5 weight of sugar was lost. If the green beans weighed 60 kgs, then how much did the remaining stock weigh?..###Assistant : 120If rice weighed 30 kg less than the green beans, then the total rice weight is 60 kg - 30 kg = 30 kg. If the green beans weighed 10 kg more than sugar, then the total sugar weight is 60 kg - 10 kg = 50 kg. When 1 / 3 weight of rice was lost, the weight loss became 1 / 3 * 30 = 10kg. The weight of rice after the loss is 30 kg - 10 kg = 20 kg. When 1 / 5 weight of sugar was lost, the lost weight was 1 / 5 * 50 kg = 10 kg. The weight of sugar after the loss is 50 kg - 10 kg = 40 kg. The total weight for all the items is 40 kg + 20 kg + 60 kg = 120 kg..

###Human : Bill is buying healthcare on an exchange. The normal monthly price of the plan he wants is $500. The government will pay for part of this cost depending on Bill's income: 90% if he makes less than $10,000, 50% if he makes between $10,001 and $40,000, and 20% if he makes more than $50,000. Bill earns $25/hour and works 30 hours per week, four weeks per month. How much will Bill spend for health insurance in a year?..###Assistant : 3000First find how much money Bill makes every week by multiplying his hourly rate by the number of hours he works each week: $25 / hour * 30 hours / week = $750 / week. Then multiply that number by the number of weeks per month to find his monthly earnings: $750 / week * 4 weeks / month = $3,000 / month. Then multiply his monthly earnings by the number of months in a year to find his annual income: $3,000 / month * 12 months / year = $36,000 / year. This income means Bill gets a 50% monthly healthcare subsidy from the government. Multiply the cost of the premium by 50% to find the monthly cost Bill pays: $500 / month * .5 = $250 / month. Finally, multiply Bill's monthly cost by the number of months in a year to find his annual cost: $250 / month * 12 months / year = $3,000 / year..

###Human : Jim is a maintenance worker at a pool. Every time someone jumps in the pool, they cause 400 ml of water to splash out and evaporate. Jim has to get everyone out of the pool, clean, and refill it when it gets below 80% full. If the pool holds 2000 L of water, how many times can people jump in the pool before Jim has to clean it?..###Assistant : 1000First figure out how many liters of water are left in the pool when it's 80% full: 2000L * .8 = 1600 L. Now subtract that amount from the pool's total capacity to find how much water can splash out before Jim has to refill it: 2000 L - 1600 L = 400 L. Now multiply that amount by 1000 to convert it to milliliters: 400 L * 1000 ml / L = 400,000 ml. Finally, divide that amount by the amount that splashes out with each jump to find the number of jumps before pool cleaning: 400,000 ml / 400 ml / jump = 1000 jumps..

###Human : Andrew works in a company that provides a generous vacation allotment: for every 10 days worked, you get 1 vacation day. If last year Andrew worked 300 days and took 5 days off in March and twice as many in September, how many more vacation days can Andrew still take?..###Assistant : 15If for every 10 days worked Andrew earns 1 day of vacation, then over 300 days worked he would have earned 300 / 10 = 30 days of vacation. We know he took 5 days off in March and that in September twice as much. That means in September he took 5 * 2 = 10 days off. In total, Andrew has used 5 vacation days in March and another 10 in September. Therefore, he has used 5 + 10 = 15 vacation days. If Andrew earned 30 days of vacation but has only used 15, then he can still take another 30 - 15 = 15 days off..

###Human : Emma and Briana invested some capital into a business. Emma's investment is supposed to yield 15% of the capital annually while Briana's should yield 10% annually. If Emma invested $300 and Briana invested $500, what will be the difference between their return-on-investment after 2 years?..###Assistant : 1015% of $300 is (15 / 100) * $300 = $45. Emma will earn an annual ROI of $45 for 2 years for a total of $45 * 2 = $90. 10% of $500 is (10 / 100) * $500 = $50. Briana will earn an annual ROI of $50 for 2 years for a total of $50 * 2 = $100. The difference between their ROI after 2 years is $100 - $90 = $10..

###Human : Carson runs a carpool for five of his friends. The five of them cover all the gas expenses to compensate Carson for his time. Their total commute is 21 miles one way, gas costs $2.50/gallon, Carson's car gets 30 miles/gallon, and they commute to work 5 days a week, 4 weeks a month. How much does each person pay toward gas monthly?..###Assistant : 14First find the total number of monthly commutes: 5 days / week * 4 weeks / month = 20 days / month. Then multiply the distance of the commute one way by the two ways: 21 miles * 2 = 42 miles. Then multiply the number of commutes by the number of miles per commute: 42 miles / commute * 20 commutes = 840 miles. Then divide the number of miles by the car's gas mileage: 840 miles / 30 miles / gallon = 28 gallons. Then multiply that number by the cost of each gallon to find the total cost: 28 gallons * $2.50 / gallon = $70. Then divide the total cost by the number of friends to find the cost per person: $70 / 5 people = $14 / person..

###Human : Gentry assembled a new 24 foot round pool in her backyard. To fill the pool with water, she used four hoses. Two of the hoses each deliver water at a rate of 2 gallons per minute. The other two hoses each deliver water at a rate of 3 gallons per minute. With a volume of 15,000 gallons, how many hours will it take to fill the pool?..###Assistant : 25Each of the two hoses delivers water at a rate of 2 gallons per minute, for a combined total of 2 * 2 = 4 gallons of water per minute. The other two hoses each deliver water at a rate of 3 gallons per minute, for a combined total of 2 * 3 = 6 gallons of water per minute. Thus, all four hoses deliver a combined total of 4 + 6 = 10 gallons of water per minute. With a volume of 15,000 gallons, it would take 15,000 / 10 = 1500 minutes to fill the pool. Converting to hours, it will take 1500 / 60 = 25 hours to fill the pool..

###Human : Phil has a coin collection he likes to add to. He started with 50 state quarters his parents gave him. Over the next year he doubled this. The following year he collected 3 each month. The year after that he collected 1 every third month. The year after that he lost a quarter of them when he misplaced his collection. How many did he have left after losing some?..###Assistant : 105Phil started with 50, and doubled this amount the next year for 50 * 2 = 100 coins. Phil then collected 3 per month the following year, and since there are 12 months in a year that was 3 * 12 = 36 coins added. Phil then collected 1 every third month, and since there are 12 months that means he collected one every 12 / 3 = 4 months, for 4 coins added. Before he lost a quarter of his coins, Phil had 100 + 36 + 4 coins, or 140 coins in total. Losing a quarter of 140 coins means Phill lost 140 / 4 = 35 coins. That means Phil had 140 - 35 = 105 coins remaining..

###Human : Antonella has ten Canadian coins in her purse that are either loonies or toonies. A loonie equals $1 and a toonie equals $2. If she bought a $3 Frappuccino and still has $11, how many toonies did she initially have?..###Assistant : 4If Antonella spent $3 and now has $11, that means initially she had $3 + $11 = $14. Let the number of loonies Antonella had be L and the number of toonies be T. Initially she had in her purse a total of 1L + 2T = $14. We also know that she had 10 coins in total or 10 = L + T. That means initially she had T = 10 - L toonies. Combining both equations we know that 14 = 1L + 2 * (10 - L). If we multiply through the parentheses, we get 14 = 1L + 20 - 2L. If we combine the variables on one side and the constants on another, we get - 6 = - 1L or L = 6. Knowing the value of L, we can solve for T = 10 - L = 10 - 6 = 4..

###Human : Irene shares half of a small apple with her dog every day. A small apple weighs about 1/4 of a pound. She can currently buy apples for $2.00 a pound. How much will she spend so that she and her dog have enough apples to last for 2 weeks?..###Assistant : 7There are 7 days in a week and she needs apples for 2 weeks so that's 7 * 2 = 14 days. She shares an apple with her dog every day so for 14 days so she needs 1 * 14 = 14 apples. Each apple weighs 1 / 4 of a pound and she needs 14 apples so that's .25 * 14 = 3.5 pounds of apples. She needs 3.5 pounds of apples and they are on sale for $2.00 a pound so she will spend 3.5 * 2 = $7.00 for apples..

###Human : Peter has four horses. Each one eats 4 pounds of oats, twice a day, and 3 pounds of grain once a day. How many pounds of food does he need to feed his horses for 3 days?..###Assistant : 132Peter needs 2 * 4 pounds of oats = 8 pounds of oats per horse per day. Peter will need 8 pounds oats * 3 days = 24 pounds of oats per horse. Peter will need 24 pounds of oats * 4 horses = 96 pounds of oats total. Peter needs 3 pounds of grain * 3 days per horse = 9 pounds of grain per horse. Peter will need 9 pounds of grain * 4 horses = 36 pounds of grain total. For 3 days Peter will need a total of 96 pounds oats + 36 pounds grain = 132 pounds total..

###Human : A road has four intersections. At the first intersection, there are 40 road signs showing different types of information mounted on the street poles. At the second intersection, 1/4 times more road signs than the first intersection are mounted on the street poles. The number of road signs at the third intersection is twice the number at the second intersection. If at the fourth intersection the number of road signs is 20 fewer than those at the third intersection, calculate the total number of road signs at the four intersections...###Assistant : 270There are 1 / 4 * 40 = 10 more road signs at the second intersection than the first intersection. This means there are 40 + 10 = 50 road signs at the second intersection. The total number of road signs at the first and second intersection is 50 + 40 = 90. The third intersection has twice the number of road signs at the second intersection, meaning there are 2 * 50 = 100 road signs. The total number of road signs at first to the third intersection is 90 + 100 = 190 road signs. At the fourth intersection, the number is 20 fewer than at the third intersection, meaning there are 100 - 20 = 80 road signs. All four road intersections have 190 + 80 = 270 road signs in total..

###Human : Carly is a pet groomer. Today, her task was trimming the four nails on dogs’ paws. She trimmed 164 nails, but three of the dogs had only three legs. How many dogs did Carly work on?..###Assistant : 11Let N be the number of dogs with 4 legs Carly worked on. All the dogs with 4 legs had 4N paws. There were 3 * 3 = 9 paws on dogs with 3 legs. At 4 nails per paw, she trimmed 164 / 4 = 41 paws. She worked on 4N + 9 = 41 paws. Thus, she worked on 4N = 32 paws on dogs with 4 legs. She worked on N = 32 / 4 = 8 dogs with 4 legs. Thus, Carly worked on 8 + 3 = 11 dogs..

###Human : Milly's babysitter charges $16/hour. Milly is considering switching to a new babysitter who charges $12/hour, but also charges an extra $3 for each time the kids scream at her. If Milly usually hires the babysitter for 6 hours, and her kids usually scream twice per babysitting gig, how much less will the new babysitter cost?..###Assistant : 18First figure out how much the first babysitter costs by multiplying her hourly rate by the number of hours she works: $16 / hour * 6 hours = $96. Then use the same method to figure out how much the second babysitter charges before any screaming: $12 / hour * 6 hours = $72. Then figure out how much the babysitter charges for two screams: 2 screams * $3 / scream = $6. Finally, subtract the second babysitter's two charges from the first babysitter's total charge to find the difference: $96 - $72 - $6 = $18..

###Human : Phillip wants to make pickles with the supplies he finds at home. He has 4 jars, 10 cucumbers, and 100 oz of vinegar. Each cucumber makes six pickles. Each jar can hold 12 pickles. It takes 10 ounces of vinegar per jar of pickles. When he is all done making as many pickles as he has supplies for, how many ounces of vinegar are left?..###Assistant : 60The jars allow him to make 48 pickles because 4 x 12 = 48. The cucumbers allow him to make 60 pickles because 10 x 6 = 60. The vinegar allows him to make 10 jars of pickles because 100 / 10 = 10. The vinegar is enough to make 60 pickles because 10 x 6 = 60. He can make 48 pickles because 48 < 60. He needs 4 jars to make this because 48 / 12 = 4. He needs 40 ounces of vinegar because 4 x 10 = 40. He has 60 ounces remaining because 100 - 40 = 60..

###Human : Eighteen hours ago, Beth and I took 100 photographs of our project. Today, Beth and I will take 20% fewer photographs of the same project. If we were to take 300 photographs of the project, how many photographs would we take to reach the target?..###Assistant : 120If you took 100 photographs of the project 18 hours ago, and today 20% few photographs have been taken, then 20 / 100 * 100 = 20 fewer photographs of the project have been taken today. The total number of photographs of the project that have been taken today is 100 - 20 = 80. So far, you've taken 80 + 100 = 180 photographs of the project. Since the target number of photographs is 300, the number of photographs that you need to take to reach the target is 300 - 180 = 120..

###Human : There are 30 students in Ms. Leech's class. Twice as many girls as boys are in the class. There are 10 boys in the class and each boy today brought 5 cups for science activity class as Ms. Leech had instructed. If the total number of cups brought by the students in the class is 90, how many cups did each girl bring?..###Assistant : 2If there are 30 students in Ms. Leech's class, and the number of boys is 10, the number of girls in Ms. Leech class is 30 - 10 = 20. If each boy brought 5 cups for the science activity, the total number of cups brought by the boys is 5 * 10 = 50 cups. The number of cups that the girls brought is 90 - 50 = 40 of the total number. Since the number of girls in the class is 20, each girl brought 40 / 20 = 2 cups each..

###Human : Crystal wanted to sell everything left in her pastry class before closing for the night. She reduced her $3.00 cupcakes and her $2.00 cookies by half. How much money did she make if she sold the last 16 cupcakes and 8 cookies?..###Assistant : 32She reduced the price of the $3.00 cupcakes by half so they are now 3 / 2 = $1.50. She reduced the price of the $2.00 cookies by half so they are now 2 / 2 = $1.00. She sold 16 cupcakes at $1.50 each so she made = 16 * 1.50 = $24.00. She sold 8 cookies at $1.00 each so she made 8 * 1 = $8.00. She made $24.00 from the cupcakes and $8.00 from the cookies for a total of 24 + 8 = $32.00..

###Human : Francine wants to know if a local chemical plant is releasing toxic waste that makes the frogs mutate. In one local pond, she catches 5 frogs with extra legs, 2 frogs with 2 heads, two frogs that are bright red, and 18 normal frogs. What percentage of the frogs have mutated, rounded to the nearest integer?..###Assistant : 33First add up the numbers of the three kinds of mutant frog: 5 frogs + 2 frogs + 2 frogs = 9 frogs. Then add that number to the number of normal frogs to find the total number of frogs: 9 frogs + 18 frogs = 27 frogs. Finally, divide the number of mutant frogs by the total number of frogs and multiply by 100% to find the percentage of frogs that are mutants: 9 frogs / 27 frogs * 100% = 33.333...%, which rounds to 33%..

###Human : With the Intertropical Convergence Zone (ITCZ) swinging northward over West Africa from the Southern Hemisphere in April, heavy showers coming from pre-monsoonal convective clouds mainly in the form of squall lines also known as the north easterlies formed mainly as a result of the interactions of the two dominant airmasses in Nigeria known as the Maritime tropical (south westerlies) and the Continental tropical (north easterlies), begins in central Nigeria while the Monsoons from the south atlantic ocean arrives in central Nigeria in July bringing with it high humidity, heavy cloud cover and heavy rainfall which can be daily occurrence lasting till September when the monsoons gradually begin retreating southward to the southern part of Nigeria. Rainfall totals in central Nigeria varies from 1,100 mm (43.3 in) in the lowlands of the river Niger Benue trough to over 2,000 mm (78.7 in) along the south western escarpment of the Jos Plateau.\n\nAnswer this question based on the passage: when does the south west wind blow in nigeria?..###Assistant : AprilThe relevant information is: With the Intertropical Convergence Zone (ITCZ) swinging northward over West Africa from the Southern Hemisphere in April, heavy showers coming from pre-monsoonal convective clouds mainly in the form of squall lines also known as the north easterlies formed mainly as a result of the interactions of the two dominant airmasses in Nigeria known as the Maritime tropical (south westerlies) and the Continental tropical (north easterlies), begins in central Nigeria while the Monsoons from the south atlantic ocean arrives in central Nigeria in July bringing with it high humidity, heavy cloud cover and heavy rainfall which can be daily occurrence lasting till September when the monsoons gradually begin retreating southward to the southern part of Nigeria. Rainfall totals in central Nigeria varies from 1,100 mm (43.3 in) in the lowlands of the river Niger Benue trough to over 2,000 mm (78.7 in) along the south western escarpment of the Jos Plateau..

###Human : The longest ground duration of totality was 2 minutes 41.6 seconds at about 37 ° 35 ′ 0" N 89 ° 7 ′ 0" W  /  37.58333 ° N 89.11667 ° W  / 37.58333;-89.11667 in Giant City State Park, just south of Carbondale, Illinois, and the greatest extent (width) was at 36 ° 58 ′ 0" N 87 ° 40 ′ 18" W  /  36.96667 ° N 87.67167 ° W  / 36.96667;-87.67167 near the village of Cerulean, Kentucky, located in between Hopkinsville and Princeton. This was the first total solar eclipse visible from the Southeastern United States since the solar eclipse of March 7, 1970. Two NASA WB-57F flew above the clouds, prolonging the observation time spent in the umbra. A partial solar eclipse was seen from the much broader path of the Moon's penumbra, including all of North America, particularly areas just south of the totality pass, where the eclipse lasted about 3 -- 5 hours, northern South America, Western Europe, and some of Africa and north-east Asia.\n\nAnswer this question: where did the solar eclipse last the longest?..###Assistant : Giant City State Park , just south of Carbondale , IllinoisTo answer the above question, the relevant sentence is: The longest ground duration of totality was 2 minutes 41.6 seconds at about 37 ° 35 ′ 0" N 89 ° 7 ′ 0" W  /  37.58333 ° N 89.11667 ° W  / 37.58333;-89.11667 in Giant City State Park, just south of Carbondale, Illinois, and the greatest extent (width) was at 36 ° 58 ′ 0" N 87 ° 40 ′ 18" W  /  36.96667 ° N 87.67167 ° W  / 36.96667;-87.67167 near the village of Cerulean, Kentucky, located in between Hopkinsville and Princeton..

###Human : Nancy's ex owes her child support. He's supposed to pay 30% of his income each year. For 3 years, he made $30,000/year, then he got a 20% raise for the next four years. If he's only ever paid $1,200, how much does he owe her?..###Assistant : 69000First find how much money the ex made during the first 3 years by multiplying his annual earnings by the number of years: 3 years * $30,000 / year = $90,000 / . Then find how much his raise was by multiplying his salary by the percentage raise: $30,000 / year * 20% = $6,000 / year. Then add the raise to his original salary to find his new salary: $6,000 / year + $30,000 / year = $36,000 / year. Then find how much he made working at the new salary by multiplying it by the 4 years he worked: 4 years * $36,000 / year = $144,000. Add his earnings from the three years and the four years to find his total earnings: $144,000 + $90,000 = $234,000. Now multiply his total earnings by 30% to find how much he was supposed to pay: $234,000 * 30% = $70,200. Now subtract the amount he paid from this number to find how much he owes: $70,200 - $1,200 = $69,000..

###Human : Kimiko watches four YouTube videos. The first video is 2 minutes long, the second video is 4 minutes and 30 seconds, and the last two videos are equal in length. If she spends a total of 510 seconds watching YouTube, how many seconds long was each of the last two videos?..###Assistant : 60First convert the length of the first video to seconds: 2 minutes * 60 seconds / minute = 120 seconds. Then convert the length of the second video to seconds: 4 minutes * 60 seconds / minute + 30 seconds = 240 seconds + 30 seconds = 270 seconds. Now subtract the length of the first two videos from the total time Kimiko spent watching to find the combined length of the last two videos: 510 seconds - 120 seconds - 270 seconds = 120 seconds. Now divide the combined length by the number of videos to find each video's length: 120 seconds / 2 = 60 seconds..

###Human : If 1 ounce of Dawn liquid soap can make 200,000 bubbles, and Dr. Bronner's liquid soap can make twice as many bubbles per ounce as Dawn liquid soap, then how many bubbles can be made from one half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps?..###Assistant : 150000One half of a 1 / 2 - ounce liquid is (1 / 2) * (1 / 2) = 1 / 4 ounces. 1 / 4 ounce of Dawn liquid soap can make (1 / 4) * 200,000 = 50,000 bubbles. 1 / 4 ounce of Dr. Bronner's liquid soap can make 2 * (1 / 4) * 200,000 = 100,000 bubbles. Therefore, a half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps can make 50,000 + 100,000 = 150,000 bubbles..