Problem: A king has decided to build a number of castles in his kingdom. If each castle requires 5 builders and there are 15 builders in total, how many castles are being built?

Gemini-1.5 Flash:

Reasoning: Since each castle needs 5 builders, the king can build 15/5 = <<15/5=3>>3 castles.
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: In a mega-sized tube of toothpaste, there are 77 grams of toothpaste. If each usage consumes 11 grams of toothpaste, how many usages can you get from this tube?

Gemini-1.5 Flash:

Reasoning: To find out how many usages you can get, divide the total amount of toothpaste by the amount used per usage: 77 grams / 11 grams/usage = 7 usages.
### Answer: 7 

Expected answer: 7

Correct? Yes

Problem: A watch manufacturer can produce 8 watches every hour. After working for some hours, they have manufactured a total of 48 watches. How many hours did they work?

Gemini-1.5 Flash:

Reasoning: They made 48 watches, and they make 8 watches every hour. Therefore they worked for 48 / 8 = <<48/8=6>> hours.

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A cat mother had 3 kittens. If every kitten has the same number of toy mice, and there are only 3 toy mice available, how many toy mice does each kitten have?

Gemini-1.5 Flash:

Since there are 3 kittens and 3 toy mice, each kitten gets 3/3 = 1 toy mouse. 

### Answer: 1 

Expected answer: 1

Correct? Yes

Problem: A hungry tiger catches 12 fishes from a river during day time. However, it eats 2 fishes per hour. How many hours will it take for the tiger to finish all the fishes?

Gemini-1.5 Flash:

Reasoning: The tiger eats 2 fishes per hour, and it has 12 fishes. Therefore, it will take 12/2 = <<12/2=6>>6 hours to finish all the fishes. 
### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A T-shirt company plans to print new shirts. Each design requires 8 shirts to print the first samples. The company just finished printing 56 shirts for this purpose. How many designs does the company plan to print?

Gemini-1.5 Flash:

Reasoning: To find out how many designs they plan to print, we need to divide the total number of sample shirts by the number of shirts per design: 56 shirts / 8 shirts/design = <<56/8=7>> 7 designs.
### Answer: 7 

Expected answer: 7

Correct? Yes

Problem: A scooter rental shop charges each rider 7 dollars per hour. If one rider spends 35 dollars, how many hours did they ride the scooter?

Gemini-1.5 Flash:

Reasoning: The rider spent $35 and each hour costs $7, so they rode for $35/$7 = <<35/7=5>> hours.
### Answer: 5 

Expected answer: 5

Correct? Yes

Problem: A car travels at a consistent speed and takes 8 hours to complete the trip. If the total distance traveled was 32 miles, what was the speed of the car in miles per hour?

Gemini-1.5 Flash:

Reasoning: To find the speed, we divide the total distance traveled by the time taken. In this case, the speed is 32 miles / 8 hours = 4 miles per hour. 

### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: A jewelry store sells bracelets in collections. They have 77 bracelets in one collection, and each collection consists of identical bracelets in distinct multiples of 11. How many bracelets are in each multiple?

Gemini-1.5 Flash:

Reasoning: To find out how many bracelets are in each multiple, we need to find the factors of 77 that are multiples of 11. 

The factors of 77 are 1, 7, 11, and 77.

The only factor of 77 that is a multiple of 11 is 11.

Therefore, each collection has **11** bracelets. 

### Answer: 11 

Expected answer: 7

Correct? No

Problem: In a camping trip, the vertical height of a tent is half of its diagonal length. If the diagonal length of the tent is 14 feet, what is the vertical height of the tent?

Gemini-1.5 Flash:

Reasoning: The vertical height of the tent is half its diagonal length, so the vertical height is 14 feet / 2 = 7 feet. 

### Answer: 7 feet 

Expected answer: 7

Correct? Yes

Problem: A café sells hot chocolate. Each cup of hot chocolate contains 11 marshmallows. If a customer finds 22 marshmallows in their hot chocolate, how many cups of hot chocolate did they purchase?

Gemini-1.5 Flash:

Reasoning: Since each cup has 11 marshmallows, the customer bought 22 marshmallows / 11 marshmallows per cup = 2 cups of hot chocolate.
### Answer: 2 

Expected answer: 2

Correct? Yes

Problem: A farmer has a unique breed of tomatoes. When he harvests them, he realizes that the total weight (in kilograms) of the tomatoes, divided equally into 4, gives 11 kilograms per group. How much is the total weight of the tomatoes?

Gemini-1.5 Flash:

Reasoning: Since the total weight divided into 4 groups gives 11 kilograms per group, the total weight of the tomatoes is 11 kilograms/group * 4 groups = 44 kilograms.

### Answer: 44 

Expected answer: 44

Correct? Yes

Problem: Sarah has 45 pairs of laces for her ice skates. If she uses the same amount of laces for each pair of ice skates, and that amount is 5, how many pairs of ice skates does Sarah have?

Gemini-1.5 Flash:

Reasoning: Sarah has 45/5 = <<45/5=9>>9 pairs of ice skates.
### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: On a breezeless day, a wind turbine rotates at half of its speed compared to a windy day. If the wind turbine rotates at 3 revolutions per minute on a breezeless day, how many revolutions per minute does it make on a windy day?

Gemini-1.5 Flash:

Reasoning: On a breezeless day, the wind turbine rotates at half its speed on a windy day. This means on a windy day, it rotates twice as fast.
So, on a windy day, the wind turbine rotates at 3 revolutions/minute * 2 = <<3*2=6>> 6 revolutions per minute. 

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: In a roller skate shop, a customer can rent roller skates for a few hours. For each hour, the charge is 5 dollars. If the total charge was 15 dollars, for how many hours did the customer rent the roller skates?

Gemini-1.5 Flash:

Reasoning: The customer rented the skates for 15/5 = <<15/5=3>>3 hours.
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: Marie grew a truly bountiful crop of tomatoes this year, yielding 108 tomatoes. If she managed to pack the same number of tomatoes into each box and ended up with 12 boxes, how many tomatoes did each box contain?

Gemini-1.5 Flash:

Reasoning: To find out how many tomatoes were in each box, we need to divide the total number of tomatoes by the number of boxes. So, Marie packed 108 tomatoes / 12 boxes = <<108/12=9>> 9 tomatoes in each box.
### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: On a sunny beach day, a group of children starts a fun game. Each child gets to throw a beach ball 7 times in a row. If there have been 21 beach ball throws in total, how many children are there?

Gemini-1.5 Flash:

Reasoning: Since each child throws the ball 7 times, we need to find out how many times 7 goes into 21.  21 divided by 7 is equal to 3.
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: A mermaid finds a magical clam that generates pearls. The clam can generate 4 pearls every day. The mermaid wants to know how many pearls she will get after 1 day, how many pearls will she have?

Gemini-1.5 Flash:

The mermaid will have 4 pearls after 1 day because the clam generates 4 pearls each day. 

### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: There are 4 liters of juice available at a party. Each guest at the party had an equal share of the juice and each got 1 litre. How many guests attended the party?

Gemini-1.5 Flash:

Reasoning: Since each guest got 1 liter of juice, and there were 4 liters available, there must have been 4/1 = 4 guests at the party.
### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: There are 40 oranges in several boxes. If each box contains 5 oranges, how many boxes are there?

Gemini-1.5 Flash:

Reasoning: To find the number of boxes, we need to divide the total number of oranges by the number of oranges in each box. So, we have 40 oranges / 5 oranges/box = 8 boxes.

### Answer: 8 

Expected answer: 8

Correct? Yes

Problem: A jungle gym has different sections. A total of 77 children are able to play on the gym at one time due to safety restrictions. If each section allows for 7 children to play at once, how many sections does the jungle gym have?

Gemini-1.5 Flash:

Reasoning:  To find the number of sections, we divide the total number of children by the number of children each section can hold: 77 children / 7 children/section = 11 sections.

### Answer: 11 

Expected answer: 11

Correct? Yes

Problem: In a national park, rangers found that there are 12 bear footprints. If each bear has a total of 6 footprints, how many bears passed through the park?

Gemini-1.5 Flash:

Reasoning: If each bear has 6 footprints, then the 12 footprints mean that 12/6 = <<12/6=2>> 2 bears passed through the park.
### Answer: 2 

Expected answer: 2

Correct? Yes

Problem: Lisa has a laundry basket full of socks. She has 24 socks in total, and all the socks are paired. If each pair contains 2 socks, how many pairs of socks does Lisa have?

Gemini-1.5 Flash:

Reasoning: To find the number of pairs, we divide the total number of socks by the number of socks in each pair: 24 socks / 2 socks/pair = 12 pairs.

### Answer: 12 

Expected answer: 12

Correct? Yes

Problem: In a supermarket, there are 56 tubes of toothpaste on the shelf. If there are 7 tubes of toothpaste for each different flavor, how many different flavors are there?

Gemini-1.5 Flash:

Reasoning: To find out how many different flavors there are, we need to divide the total number of tubes by the number of tubes per flavor. So, 56 tubes / 7 tubes per flavor = 8 different flavors. 
### Answer: 8 

Expected answer: 8

Correct? Yes

Problem: A photographer took 60 pictures using a newly designed camera. If each developed photo roll from the camera can hold up to 5 pictures, how many photo rolls did he use?

Gemini-1.5 Flash:

Reasoning: The photographer used 60/5 = <<60/5=12>>12 photo rolls. 
### Answer: 12 

Expected answer: 12

Correct? Yes

Problem: In a particular area of the ocean, there are 90 dolphins. If each pod consists of 9 dolphins, how many pods are there?

Gemini-1.5 Flash:

To find out how many pods there are, we need to divide the total number of dolphins by the number of dolphins in each pod. 

So, we divide 90 dolphins by 9 dolphins per pod: 90 / 9 = 10

### Answer: 10 

Expected answer: 10

Correct? Yes

Problem: In a community of mermaids, the coral gardens need care and maintenance. It takes 18 hours for a group of mermaids to clean the coral garden. If each mermaid worked for 9 hours, how many mermaids were in the group?

Gemini-1.5 Flash:

Reasoning: To find the number of mermaids, we can divide the total time needed to clean the garden by the time each mermaid works: 18 hours / 9 hours/mermaid = 2 mermaids.
### Answer: 2 

Expected answer: 2

Correct? Yes

Problem: A father wants to set a limit on his son's screen time. He measures the daily television (TV) viewing time in hours. If he sets a limit of 3 hours per day, then how many hours will his son get to watch TV in one day?

Gemini-1.5 Flash:

The father sets a limit of 3 hours of TV per day. 
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: At the children's park, there is a long slide which is 24 feet in length. If one segment of the slide is equal to 12 feet, how many segments are there in total on the slide?

Gemini-1.5 Flash:

Reasoning: The slide is 24 feet long and each segment is 12 feet long, so the slide has 24 / 12 = 2 segments.
### Answer: 2 

Expected answer: 2

Correct? Yes

Problem: In a grocery store, every batch of strawberries has the same number of strawberries. If three batches contain a total of 6 strawberries, how many strawberries are there in one batch?

Gemini-1.5 Flash:

Reasoning: If three batches contain a total of 6 strawberries, then one batch contains 6/3 = <<6/3=2>>2 strawberries.
### Answer: 2 

Expected answer: 2

Correct? Yes

Problem: A toy car factory produces a certain constant number of cars in 1 hour. If the factory produces 8 cars in one hour, what is this production rate constant?

Gemini-1.5 Flash:

The production rate constant is simply the number of cars produced per hour. 

### Answer: 8 cars per hour 

Expected answer: 8

Correct? Yes

Problem: A watch store has 50 watches in stock, and they are divided equally into some display cases. If each display case contains 10 watches, how many display cases are there in the store?

Gemini-1.5 Flash:

Reasoning: If each display case has 10 watches, and there are 50 watches in total, then there are 50/10 = <<50/10=5>>5 display cases in the store. 
### Answer: 5 

Expected answer: 5

Correct? Yes

Problem: Linda has a collection of dolls. She noticed that if she doubles the quantity of one specific model, she would have 2 dolls of that model. How many dolls of that model does she currently have?

Gemini-1.5 Flash:

Reasoning: If Linda doubles the quantity of the specific model, she'll have 2 dolls. This means she currently has half the number of dolls.

So, Linda currently has 2 / 2 = 1 doll of that model.

### Answer: 1 

Expected answer: 1

Correct? Yes

Problem: In a medieval castle, a soldier can secure 5 rooms every hour. He has secured 30 rooms in total. How many hours did the soldier work to secure all these rooms?

Gemini-1.5 Flash:

Reasoning: The soldier secured 30 rooms, and he secures 5 rooms per hour.  To find out how many hours he worked, we divide the total rooms by the rooms secured per hour: 30 rooms / 5 rooms/hour = 6 hours.

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A puzzle consists of several pieces. If you divide the total number of pieces by 9, it gives you 11. How many pieces are there in the puzzle?

Gemini-1.5 Flash:

Reasoning:  If you divide the total number of pieces by 9 and get 11, that means there are 9 * 11 = <<9*11=99>>99 pieces in the puzzle.

### Answer: 99

Expected answer: 99

Correct? Yes

Problem: A blanket making company can make 35 blankets in a week. If they make the same number of blankets every day, how many blankets do they make in a day?

Gemini-1.5 Flash:

Reasoning: There are 7 days in a week. So the company makes 35 blankets / 7 days = 5 blankets per day.
### Answer: 5 

Expected answer: 5

Correct? Yes

Problem: A student has a total of 2 packs of pencils. Each pack contains 3 pencils. How many pencils does the student have in total?

Gemini-1.5 Flash:

The student has 2 packs of pencils, and each pack contains 3 pencils. 

To find the total number of pencils, we multiply the number of packs by the number of pencils per pack: 2 packs * 3 pencils/pack = 6 pencils.

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: In a juice bar, a fruit section has 45 liters of freshly squeezed orange juice. If each serving of juice requires the same amount in liters, and the quantity is such that it yields 5 servings, what is the quantity in liters of each serving?

Gemini-1.5 Flash:

Reasoning: To find the quantity in liters of each serving, we divide the total amount of juice by the number of servings: 45 liters / 5 servings = 9 liters/serving.
### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: A clothing store owner has 24 pants in stock. If each box of pants he ordered contains 12 pants, how many boxes did he order?

Gemini-1.5 Flash:

Reasoning: The owner ordered 24 pants / 12 pants per box = 2 boxes. 
### Answer: 2 

Expected answer: 2

Correct? Yes

Problem: In a forest, there are bears that stand 8 feet tall each. If the total height of all bears standing together is 8 feet, how many bears are there?

Gemini-1.5 Flash:

Reasoning: Since each bear stands 8 feet tall, and the total height of all bears standing together is also 8 feet, there must be only one bear. 

### Answer: 1 

Expected answer: 1

Correct? Yes

Problem: A pillow manufacturer produces i pillows each day. If this number is divided by 11, the result is 6 pillows. What is the total number of pillows the manufacturer produces each day?

Gemini-1.5 Flash:

Reasoning: If the number of pillows produced each day (i) divided by 11 equals 6, then we can represent this as an equation: i/11 = 6. To find the value of i, we need to multiply both sides of the equation by 11. This gives us: i = 6 * 11.
Therefore, i = <<6*11=66>>66 pillows.

### Answer: 66 

Expected answer: 66

Correct? Yes

Problem: A warehouse stores 70 crayons and they are distributed equally into multiple boxes. If each box contains 10 crayons, how many boxes are there in the warehouse?

Gemini-1.5 Flash:

Reasoning: To find the number of boxes, we divide the total number of crayons by the number of crayons per box: 70 crayons / 10 crayons/box = 7 boxes.

### Answer: 7 

Expected answer: 7

Correct? Yes

Problem: A song lasts for 90 seconds. If every verse takes exactly the same amount of time and the entire song contains 10 verses, how long does each verse last?

Gemini-1.5 Flash:

Reasoning: If the entire song is 90 seconds and has 10 verses, then each verse is 90/10 = <<90/10=9>>9 seconds long.
### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: In a forest nursery, each of the seed trays contains 8 tree saplings. If the total number of saplings is 16, how many seed trays are there?

Gemini-1.5 Flash:

Reasoning: To find the number of seed trays, we divide the total number of saplings by the number of saplings per tray. So, we have 16 saplings / 8 saplings per tray = <<16/8=2>> 2 seed trays.

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: In a jewelry store, there are 10 bracelets made by one craftsman. If each craftsman made exactly the same amount of bracelets, and there is 1 bracelet per craftsman displayed in the showroom, how many craftsmen's work is displayed in the showroom?

Gemini-1.5 Flash:

Reasoning: Since there are 10 bracelets made by one craftsman, and there is one bracelet per craftsman displayed, then there are 10 craftsmen represented in the showroom.

### Answer: 10 

Expected answer: 10

Correct? Yes

Problem: A giraffe spent 2 hours eating leaves. If the giraffe consumes 12 kilograms of leaves in this period, how many kilograms of leaves does the giraffe eat per hour?

Gemini-1.5 Flash:

Reasoning: To find out how many kilograms of leaves the giraffe eats per hour, we divide the total amount of leaves eaten by the number of hours spent eating. 
The giraffe eats 12 kilograms of leaves / 2 hours = <<12/2=6>> 6 kilograms of leaves per hour.

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A jewelry maker has a total of 36 beads. They want to create a bracelet which involves 9 beads each. How many bracelets can the jewelry maker create?

Gemini-1.5 Flash:

The jewelry maker can create 36 beads / 9 beads per bracelet = 4 bracelets. 
### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: In a jungle gym, there are a certain amount of play sections. Each play section has 7 monkeys playing on it. If there are 35 monkeys in total, how many play sections are there in the jungle gym?

Gemini-1.5 Flash:

Reasoning: Since there are 7 monkeys per play section, to find the number of play sections, we divide the total number of monkeys by the number of monkeys per section: 35 monkeys / 7 monkeys/section = 5 sections.

### Answer: 5 

Expected answer: 5

Correct? Yes

Problem: A person watches a 56-hour long TV series. If they watch the same amount of hours each day and they finish watching in 7 days, how many hours do they watch per day?

Gemini-1.5 Flash:

Reasoning: To find out how many hours the person watches per day, we divide the total number of hours by the number of days.
So, the person watches 56 hours / 7 days = 8 hours per day.
### Answer: 8 

Expected answer: 8

Correct? Yes

Problem: In a furniture warehouse, each door panel weighs 5kg. If the total weight of all door panels is 45kg, how many door panels are there in the warehouse?

Gemini-1.5 Flash:

Reasoning: To find the number of door panels, we divide the total weight by the weight of each panel: 45kg / 5kg/panel = 9 panels.

### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: There are 9 clouds in the sky. Each cloud has the exact same weight (w). What is the weight of one cloud if the total weight of all the 9 clouds is 9?

Gemini-1.5 Flash:

Reasoning:  If there are 9 clouds and they all weigh the same amount (w), and their total weight is 9, then the weight of one cloud is 9 divided by 9.
 
### Answer: 1 

Expected answer: 1

Correct? Yes

Problem: A train travels at a certain speed. If that speed is halved, it goes at 3 km/hr. What is the original speed of the train in km/hr?

Gemini-1.5 Flash:

Reasoning: If the speed is halved, it's currently traveling at 3 km/hr, which means the original speed is double that.

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: James has a toy car collection. He noticed that when he counts his collection, he gets a total of 12 cars. If each type of car he has comes in pairs, how many types of toy cars does James have?

Gemini-1.5 Flash:

Reasoning: If James has 12 cars, and each type comes in pairs, he has 12/2 = 6 different types of toy cars. 
### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A sailor has several identical boats. If all of his boats are out in the water, there are 8 boats sailing in total. If each boat comes in pairs, how many pairs of boats does the sailor own?

Gemini-1.5 Flash:

Reasoning: Since the boats come in pairs, there are 8 boats / 2 boats per pair = <<8/2=4>>4 pairs of boats.

### Answer: 4

Expected answer: 4

Correct? Yes

Problem: A farmer harvested 6 kilograms of tomatoes from his farm. If every basket he uses can carry 2 kilograms of tomatoes, how many baskets does he need to pack all his tomatoes?

Gemini-1.5 Flash:

Reasoning: The farmer needs 6/2 = <<6/2=3>>3 baskets to pack all his tomatoes.
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: A police officer notices that every car parked in the no-parking zone receives a ticket. If there are 6 cars parked in the no-parking zone and each is given one ticket, how many tickets does the officer distribute?

Gemini-1.5 Flash:

Since each of the 6 cars receives one ticket, the officer distributes a total of 6 tickets.

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: The distance between two points on the moon is 96 miles. If each small sector of the moon covers 8 miles, then how many sectors are there between these two points?

Gemini-1.5 Flash:

Reasoning: To find the number of sectors, we need to divide the total distance by the distance covered by each sector: 96 miles / 8 miles/sector = 12 sectors. 

### Answer: 12 

Expected answer: 12

Correct? Yes

Problem: A vineyard worker has been assigned to pick grapes from a certain number of plants. He picks 24 bunches of grapes after picking from 4 plants. How many bunches of grapes does he pick from each plant?

Gemini-1.5 Flash:

Reasoning: The vineyard worker picks 24 bunches / 4 plants = 6 bunches per plant.
### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A building has 120 square feet of window space. If each window takes up 10 square feet, how many windows are on the building?

Gemini-1.5 Flash:

Reasoning:  To find the number of windows, we divide the total window space by the space each window takes up. 
This is 120 square feet / 10 square feet per window = 12 windows.

### Answer: 12 

Expected answer: 12

Correct? Yes

Problem: At a beach party, there are 55 beach balls available for guests to play with. If each color of beach ball is present in groups of 5, how many different colors of beach balls are there?

Gemini-1.5 Flash:

Reasoning: To find the number of different colors, divide the total number of beach balls by the number of beach balls per color: 55 beach balls / 5 beach balls per color = 11 colors. 

### Answer: 11 

Expected answer: 11

Correct? Yes

Problem: A pirate finds a chest full of gold doubloons. If each doubloon weighs 9 grams and the total weight of all his doubloons is 90 grams, how many doubloons has the pirate found?

Gemini-1.5 Flash:

Reasoning: To find the number of doubloons, we need to divide the total weight by the weight of each doubloon: 90 grams / 9 grams/doubloon = 10 doubloons.

### Answer: 10 

Expected answer: 10

Correct? Yes

Problem: A student has a total of 18 erasers. If he puts them into 6 equally-sized boxes, how many erasers would each box contain?

Gemini-1.5 Flash:

Reasoning: To find out how many erasers are in each box, we need to divide the total number of erasers by the number of boxes.  
 
So, 18 erasers divided by 6 boxes equals 18/6 = 3 erasers per box.

### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: A beader has 36 beads for making bracelets. If each bracelet uses 12 beads, how many bracelets can the beader make?

Gemini-1.5 Flash:

Reasoning: The beader can make 36/12 = <<36/12=3>> 3 bracelets.
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: Mountain Peak, the famous company for manufacturing bicycles, produces a new model of bicycles every year. Currently, they have 63 bicycles ready for sale. If each gear of the new model can sell exactly 7 bicycles, how many gears are there in the new model of the bicycle?

Gemini-1.5 Flash:

Reasoning: To find out how many gears there are, we divide the total number of bicycles by the number of bicycles each gear can sell.  
 
This means there are 63 bicycles / 7 bicycles per gear = <<63/7=9>>9 gears in the new model. 

### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: A contractor has 80 windows to fit into houses. If each house requires 8 windows, how many houses can the contractor completely outfit with window fittings?

Gemini-1.5 Flash:

Reasoning: The contractor can completely outfit 80/8 = <<80/8=10>>10 houses.
### Answer: 10 

Expected answer: 10

Correct? Yes

Problem: A compass maker sells 12 compasses each day for a certain number of days. After a while, he has sold a total of 84 compasses. How many days did it take to sell this many compasses?

Gemini-1.5 Flash:

Reasoning: If the compass maker sells 12 compasses each day, and he sold 84 compasses in total, then it took him 84/12 = <<84/12=7>>7 days. 
### Answer: 7 

Expected answer: 7

Correct? Yes

Problem: A new computer lab at a school has 3 computers per row. If there are 7 rows in total, how many computers are there in the computer lab?

Gemini-1.5 Flash:

Reasoning: There are 3 computers per row and 7 rows, so there are 3 x 7 = <<3*7=21>>21 computers in total. 

### Answer: 21 

Expected answer: 21

Correct? Yes

Problem: A painter has 4 cups of yellow paint. If he uses those 4 cups to paint at a rate of 1 cup per large wall, how many large walls can he paint?

Gemini-1.5 Flash:

Reasoning: The painter can paint 4 large walls because he has 4 cups of paint and uses 1 cup per wall. 
### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: In a lemon farm, each tree produces lemons in a consistent way. If 6 trees can produce 60 lemons in total, how many lemons does each tree, on average, produce?

Gemini-1.5 Flash:

Reasoning: To find out how many lemons each tree produces, we divide the total number of lemons by the number of trees. 
 
 So, each tree produces 60 lemons / 6 trees = 10 lemons.

### Answer: 10 

Expected answer: 10

Correct? Yes

Problem: In a library, there are 9 books that form a complete series. If each book in the series corresponds to 1 complete story, how many stories are in the series?

Gemini-1.5 Flash:

Reasoning: Since each book contains one complete story, and there are 9 books in the series, there are 9 complete stories in the series.

### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: A clothing factory has 6 yards of fabric to make shirts. Each shirt requires 3 yards of fabric. How many shirts can the factory make?

Gemini-1.5 Flash:

Reasoning: The factory has enough fabric to make 6 yards / 3 yards per shirt = 2 shirts.

### Answer: 2 

Expected answer: 2

Correct? Yes

Problem: There are 24 train compartments in a train. Each train car consists of 8 compartments. How many cars does the train have?

Gemini-1.5 Flash:

Reasoning: To find the number of cars, we divide the total number of compartments by the number of compartments per car: 24 compartments / 8 compartments/car = 3 cars.

### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: A clothing factory produces pants and is currently working on 32 pairs. Each rack in the factory can hold 8 pairs of pants. How many racks are being used to hold all the pants?

Gemini-1.5 Flash:

Reasoning: To find out how many racks are being used, we need to divide the total number of pants by the number of pants each rack can hold: 32 pants / 8 pants/rack = 4 racks. 

### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: A contractor is designing a large window for a client. The window is to be separated into smaller square panes. If each square pane has 9 square inches of glass and total square inches of glass used for the large window is 36, what is the number of square panes in the window?

Gemini-1.5 Flash:

Reasoning: To find the number of square panes, divide the total square inches of glass by the square inches of glass per pane: 36 square inches / 9 square inches/pane = 4 panes.

### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: Granny loves to knit blankets for her grandchildren. She uses 12 balls of yarn for each blanket. If Granny has 72 balls of yarn, how many blankets can she knit?

Gemini-1.5 Flash:

Reasoning: To find out how many blankets Granny can knit, we need to divide the total number of yarn balls by the number of yarn balls needed for each blanket. 
So, Granny can knit 72 / 12 = <<72/12=6>> 6 blankets.

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A dairy farm produces milk packets. Each day, it produces 3 times the amount of milk packets it produced on the previous day. If on the third day, it produced 33 milk packets, how many milk packets did it produce on the second day?

Gemini-1.5 Flash:

Reasoning:  Since the farm produces 3 times the amount each day, on the second day it produced 33 / 3 = 11 milk packets.

### Answer: 11 

Expected answer: 11

Correct? Yes

Problem: A helicopter company has a policy of ensuring that each of their helicopters gets 10 hours of maintenance for every time it's used. If a particular helicopter has had 70 hours of maintenance, how many times has it been used?

Gemini-1.5 Flash:

Reasoning:  For every 10 hours of maintenance, the helicopter was used once.  So, to find the number of times the helicopter was used, divide the total maintenance time by the maintenance time per use: 70 hours / 10 hours/use = 7 uses.

### Answer: 7 

Expected answer: 7

Correct? Yes

Problem: There are 6 elephants in the zoo and they are divided into different habitats. If each habitat has 2 elephants, how many habitats are there in the zoo?

Gemini-1.5 Flash:

Reasoning: We have 6 elephants and each habitat holds 2 elephants. Therefore, we can find the number of habitats by dividing the total number of elephants by the number of elephants per habitat.

6 elephants / 2 elephants per habitat = 3 habitats

### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: A dolphin can jump 5 times in a single minute. If a dolphin continuously jumps for 'p' minutes, it can jump 60 times. How many minutes did the dolphin jump for?

Gemini-1.5 Flash:

Here's how to solve this problem:

* **Find the jumps per minute:** The dolphin jumps 5 times per minute.
* **Set up an equation:** Let 'p' represent the number of minutes the dolphin jumped. We know the dolphin jumps 5 times per minute and made 60 jumps total, so we can write the equation: 5 * p = 60
* **Solve for 'p':**  Divide both sides of the equation by 5: p = 60 / 5
* **Calculate:** p = 12

### Answer: 12 

Expected answer: 12

Correct? Yes

Problem: In a large forest, there are groups of trees. Each group has 7 trees. If there are 63 trees in total, how many groups of trees are there in the forest?

Gemini-1.5 Flash:

Reasoning: To find the number of groups, we need to divide the total number of trees by the number of trees in each group.  
So, 63 trees / 7 trees per group = 9 groups.

### Answer: 9 

Expected answer: 9

Correct? Yes

Problem: A hat shop has created 96 new hats to sell. If each style has exactly 12 of the same hat, how many styles does the hat shop have?

Gemini-1.5 Flash:

Reasoning: To find the number of styles, we need to divide the total number of hats by the number of hats per style.  
So, the hat shop has 96 / 12 = <<96/12=8>> 8 styles.

### Answer: 8

Expected answer: 8

Correct? Yes

Problem: In a certain month, it rained consistently every couple of days. If it rained 24 days in total and each period of continuous rain lasted for 8 days, how many periods of rain were there in that month?

Gemini-1.5 Flash:

Reasoning:  To find out how many periods of rain there were, we divide the total rainy days by the length of each period: 24 days / 8 days/period = 3 periods. 
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: In a factory, 6 bottles are manufactured in a single cycle. If the factory has manufactured 48 bottles today, how many cycles of production have been performed?

Gemini-1.5 Flash:

Reasoning: To find the number of cycles, we divide the total number of bottles manufactured by the number of bottles produced per cycle. 
This means the factory has completed 48 / 6 = <<48/6=8>> cycles of production.

### Answer: 8

Expected answer: 8

Correct? Yes

Problem: At a live concert, a singer wants to sing 110 verses to entertain his fans. He decides to divide the verses evenly among 10 songs. How many verses will there be in each song?

Gemini-1.5 Flash:

Reasoning: To find out how many verses are in each song, we need to divide the total number of verses (110) by the number of songs (10). 
 
 110 verses / 10 songs = 11 verses per song.

### Answer: 11 

Expected answer: 11

Correct? Yes

Problem: In a photography studio, there are 16 cameras that are shared by photographers. If each photographer gets 2 cameras, how many photographers are there in the studio?

Gemini-1.5 Flash:

Reasoning: If each photographer gets 2 cameras, and there are 16 cameras in total, then there are 16 / 2 = <<16/2=8>>8 photographers in the studio.
### Answer: 8 

Expected answer: 8

Correct? Yes

Problem: At a zoo, a group of 99 penguins need to be separated into different areas so each one has 9 penguins. How many areas are needed to separate all the penguins evenly?

Gemini-1.5 Flash:

Reasoning: To find out how many areas are needed, we divide the total number of penguins by the number of penguins in each area: 99 penguins / 9 penguins/area = 11 areas.

### Answer: 11 

Expected answer: 11

Correct? Yes

Problem: A Piano teacher sets a task to practice specific pieces of music. Each piece takes 3 hours to practice thoroughly. If her student has 9 hours for practice, how many pieces can the student practice thoroughly?

Gemini-1.5 Flash:

Reasoning: The student can practice 9 hours / 3 hours per piece = <<9/3=3>>3 pieces thoroughly.
### Answer: 3 

Expected answer: 3

Correct? Yes

Problem: In a pillow factory, 3 pillows can be stitched from a certain amount of fabric. If the fabric used is divided by 6, that results in the number of pillows that can be made from it. How much fabric is used to make these 3 pillows?

Gemini-1.5 Flash:

Here's how to solve this:

* **Let 'x' represent the amount of fabric used.**
* **We know x/6 = 3 (number of pillows)**
* **To solve for x, multiply both sides of the equation by 6:**  (x/6) * 6 = 3 * 6
* **This simplifies to x = 18**

### Answer: 18 

Expected answer: 18

Correct? Yes

Problem: A stationery store sells pens in packs. If each pack contains 9 pens, and there are exactly 9 packs, how many pens are in the store?

Gemini-1.5 Flash:

Reasoning: The store has 9 packs * 9 pens/pack = 81 pens. 
### Answer: 81 

Expected answer: 81

Correct? Yes

Problem: A tiger has 4 pounds of meat for his meal today. If one serving size is an eighth of a pound, then how many servings are in the tiger's meal?

Gemini-1.5 Flash:

Reasoning: The tiger has 4 pounds of meat, and each serving is 1/8 of a pound. To find the number of servings, we divide the total amount of meat by the size of each serving: 4 pounds / (1/8 pound/serving) = 32 servings. 
### Answer: 32 

Expected answer: 32

Correct? Yes

Problem: At a birthday party, there is a long string of 5 meters that is used for tying the balloons. If each balloon requires 1 meter of string to be tied, how many balloons can be tied with this string?

Gemini-1.5 Flash:

Reasoning: Since each balloon needs 1 meter of string, and you have 5 meters of string, you can tie 5/1 = 5 balloons.
### Answer: 5 

Expected answer: 5

Correct? Yes

Problem: A plane crashed into a deserted island and split into multiple parts. After an investigation, it was found that there were 48 parts in total. If each plane section accounts for 8 parts, how many sections did the plane originally have before the crash?

Gemini-1.5 Flash:

Reasoning: To find the number of sections, we divide the total number of parts by the number of parts per section.
This is 48 parts / 8 parts/section = <<48/8=6>>6 sections. 
### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: A farmer has a field full of strawberry plants. He collects 40 strawberries and divides them equally among his friends. If each friend is given 4 strawberries, how many friends does the farmer have?

Gemini-1.5 Flash:

Reasoning: To find out how many friends the farmer has, we need to divide the total number of strawberries by the number of strawberries each friend receives. 
 
The farmer has 40 strawberries / 4 strawberries per friend = 10 friends.

### Answer: 10 

Expected answer: 10

Correct? Yes

Problem: On a fun fair, a hot chocolate booth sells their beverage for 10 dollars per cup. One day, they manage to earn a total of 70 dollars. How many cups of hot chocolate did they sell?

Gemini-1.5 Flash:

Reasoning: Since each cup costs 10 dollars, they sold 70/10 = <<70/10=7>> 7 cups of hot chocolate. 
### Answer: 7 

Expected answer: 7

Correct? Yes

Problem: A jeweler has a certain amount of precious rings. If he sold 5 rings for a total of 35 dollars, how much does each ring cost?

Gemini-1.5 Flash:

To find the cost of each ring, we need to divide the total cost by the number of rings sold.

Reasoning: 35 dollars / 5 rings = 7 dollars per ring.

### Answer: 7 

Expected answer: 7

Correct? Yes

Problem: There are 60 lions in a national park. If the park authority decides to evenly distribute these lions into different regions such that each region has exactly 10 lions, how many regions would there be?

Gemini-1.5 Flash:

To find out how many regions there would be, we simply divide the total number of lions by the number of lions per region.

60 lions / 10 lions/region = 6 regions

### Answer: 6 

Expected answer: 6

Correct? Yes

Problem: For an upcoming clothing sale, a store decides to discount their jackets. After the discount, each jacket costs 6 dollars. If the original price was "d" dollars and it's now 1/5th of its original price, what was the original price of the jacket?

Gemini-1.5 Flash:

Reasoning: We know that the discounted price (6 dollars) is 1/5th of the original price (d dollars).  This can be written as an equation: 
(1/5) * d = 6 
To find the original price (d), we need to isolate it. We can do this by multiplying both sides of the equation by 5:
d = 6 * 5
d = 30

### Answer: 30 

Expected answer: 30

Correct? Yes

Problem: In a zoo, each giraffe eats 7 pounds of food each day. If the total amount of food consumed by the giraffes is 28 pounds today, how many giraffes are there in the zoo?

Gemini-1.5 Flash:

Reasoning: To find the number of giraffes, we divide the total food consumed by the amount each giraffe eats. 
Therefore, there are 28/7 = <<28/7=4>>4 giraffes in the zoo. 
### Answer: 4 

Expected answer: 4

Correct? Yes

Problem: In a shallow pool, a group of 30 starfish decided to divide themselves equally to live in different zones of the pool. If each zone contains 6 starfish, how many zones are there in total?

Gemini-1.5 Flash:

Reasoning: To find the total number of zones, we divide the total number of starfish by the number of starfish in each zone. So, we have 30 starfish / 6 starfish per zone = 5 zones.

### Answer: 5 

Expected answer: 5

Correct? Yes

Problem: An astronaut has 88 hours of oxygen in his tank. If he can use this tank for 8 days, how many hours of oxygen does the tank provide each day?

Gemini-1.5 Flash:

Reasoning: To find out how many hours of oxygen the tank provides each day, we divide the total hours of oxygen by the number of days the tank can last. 
This means 88 hours / 8 days = <<88/8=11>>11 hours per day.

### Answer: 11 

Expected answer: 11

Correct? Yes