🔗 Problem

Problem: A school bus drives 2496 miles over 52 weeks taking students to various competitions. How many miles does the bus drive on average each week?

Gemini-1.5 Flash:

    To find the average miles driven per week, we need to divide the total miles driven by the number of weeks.

    The bus drives an average of 2496 miles / 52 weeks = <<2496/52=48>> 48 miles each week.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: If the school bus had instead driven 6100 miles over the same 52 weeks, how many miles would the bus have driven on average each week?

Gemini-1.5 Flash:

    To find the average miles driven per week, we need to divide the total miles driven by the number of weeks.

    The bus would have driven an average of 6100 miles / 52 weeks = <<6100/52=117.31>> 117.31 miles each week.

    ### Answer: 117.31

Expected answer: 1525/13

Correct? No

🔗 Problem

Problem: An astronaut has a 90-day mission in space during which he consumes a total of 3870 liters of oxygen. If his oxygen consumption is the same every day, how much oxygen does he use daily?

Gemini-1.5 Flash:

    To find out how much oxygen the astronaut uses daily, we need to divide the total oxygen consumption by the number of days in the mission.

    Daily oxygen consumption = Total oxygen consumption / Number of days

    Daily oxygen consumption = 3870 liters / 90 days

    Daily oxygen consumption = 43 liters/day

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Follow-up

Problem: If the astronaut's mission got extended to 124 days instead of 90, and he still used a total of 3870 liters of oxygen, how much oxygen did he use daily?

Gemini-1.5 Flash:

    To find the daily oxygen consumption for the extended mission, we need to divide the total oxygen consumption by the new number of days.

    Daily oxygen consumption = Total oxygen consumption / Number of days

    Daily oxygen consumption = 3870 liters / 124 days

    Daily oxygen consumption ≈ 31.21 liters/day

    ### Answer: 31.21

Expected answer: 1935/62

Correct? No

🔗 Problem

Problem: A dinosaur lays 50 eggs evenly in 10 nests. How many eggs are there in each nest?

Gemini-1.5 Flash:

    To find out how many eggs are in each nest, we need to divide the total number of eggs by the number of nests.

    * **Eggs:** 50
    * **Nests:** 10

    So, 50 eggs / 10 nests = 5 eggs per nest.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: Instead of 50 eggs, a dinosaur lays 2603 eggs and distributes them evenly into 10 nests. How many eggs are there in each nest now?

Gemini-1.5 Flash:

    To find out how many eggs are in each nest, we divide the total number of eggs by the number of nests.

    * **Eggs:** 2603
    * **Nests:** 10

    So, 2603 eggs / 10 nests = 260.3 eggs per nest. Since we can't have fractions of eggs, we round down to the nearest whole number.

    ### Answer: 260

Expected answer: 2603/10

Correct? No

🔗 Problem

Problem: A family decided to donate 455 towels to a local shelter. They plan to donate an equal amount of towels each day for 5 days. How many towels will they donate each day?

Gemini-1.5 Flash:

    Reasoning: To find out how many towels they donate each day, we need to divide the total number of towels by the number of days.
    So, 455 towels / 5 days = <<455/5=91>> 91 towels per day.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: The family, after reviewing their stock, realized that they actually have 4581 towels to donate instead of 455. If they still plan to donate equal amounts for 5 days, how many towels will they donate each day now?

Gemini-1.5 Flash:

    Reasoning:  To find out how many towels they donate each day, we need to divide the total number of towels by the number of days.
    So, 4581 towels / 5 days = <<4581/5=916.2>> 916.2 towels per day. Since you can't donate a fraction of a towel, we need to round down to the nearest whole number.

    ### Answer: 916

Expected answer: 4581/5

Correct? No

🔗 Problem

Problem: A school has 1089 students and plans to take them on a field trip using buses. If each bus can carry exactly 11 students, how many buses does the school need to hire for the field trip?

Gemini-1.5 Flash:

    Reasoning:  To find out how many buses are needed, we divide the total number of students by the number of students each bus can carry: 1089 students / 11 students/bus = 99 buses.

    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: Following the field trip, the school finds out that they will now be taking 4570 students for the next excursion. If each bus can still only carry 11 students, how many buses will the school need to hire for this next field trip?

Gemini-1.5 Flash:

    Reasoning: To find out how many buses are needed, we divide the total number of students by the number of students each bus can carry: 4570 students / 11 students/bus = 415.45 buses. Since we can't have a fraction of a bus, we round up to the nearest whole number.

    ### Answer: 416

Expected answer: 4570/11

Correct? No

🔗 Problem

Problem: A bed sheet manufacturer produces 2520 bed sheets in 28 days. If they produce the same number of sheets every day, how many bed sheets are manufactured each day?

Gemini-1.5 Flash:

    To find out how many bed sheets are manufactured each day, we divide the total number of bed sheets by the number of days:

    2520 bed sheets / 28 days = 90 bed sheets/day

    ### Answer: 90

Expected answer: 90

Correct? Yes

🔗 Follow-up

Problem: Let's now consider a different bed sheet manufacturer who manages to produce a total of 7208 bed sheets in the same 28-day period. If they also produced the same number of sheets every day, how many bed sheets are manufactured each day in this case?

Gemini-1.5 Flash:

    To find the number of bed sheets produced each day by this manufacturer, we divide the total number of bed sheets by the number of days:

    7208 bed sheets / 28 days = 257.43 bed sheets/day

    Since we can't produce a fraction of a bed sheet, we round down to the nearest whole number.

    ### Answer: 257

Expected answer: 1802/7

Correct? No

🔗 Problem

Problem: A dog food manufacturer produces 2900 pounds of dog food in a day. If this amount is evenly distributed into 50 bags, how many pounds of food does each bag contain?

Gemini-1.5 Flash:

    Reasoning: To find out how many pounds of food each bag contains, we need to divide the total weight of the dog food by the number of bags.

    This can be represented by the equation: 2900 pounds / 50 bags =  pounds per bag

    Calculating this: 2900 pounds / 50 bags = 58 pounds per bag.

    ### Answer: 58

Expected answer: 58

Correct? Yes

🔗 Follow-up

Problem: The manufacturer changes the production procedure and now it can only produce 2301 pounds of dog food in a day, while maintaining the same number of bags which is 50. How many pounds of food does each bag contain now?

Gemini-1.5 Flash:

    Reasoning: With the new production procedure, the manufacturer produces 2301 pounds of dog food. To find out how many pounds go in each bag, we need to divide the total weight by the number of bags.

    This can be represented by the equation: 2301 pounds / 50 bags = pounds per bag

    Calculating this: 2301 pounds / 50 bags = 46.02 pounds per bag.

    ### Answer: 46.02

Expected answer: 2301/50

Correct? Yes

🔗 Problem

Problem: A cat catches 2187 mice over a period of 27 months. How many mice does the cat catch each month?

Gemini-1.5 Flash:

    To find out how many mice the cat catches each month, we need to divide the total number of mice caught by the number of months.

    So, we have 2187 mice / 27 months = 81 mice per month.

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: The cat's hunting skills have improved! Now this cat catches 2784 mice over the same period of 27 months. How many mice does the cat now catch each month?

Gemini-1.5 Flash:

    To find out how many mice the cat catches each month, we divide the total number of mice caught by the number of months.

    So, we have 2784 mice / 27 months = 103.11 mice per month. Since we can't have fractions of mice, we round down to the nearest whole number.

    ### Answer: 103

Expected answer: 928/9

Correct? No

🔗 Problem

Problem: A vineyard has harvested 1426 grapes and wants to pack them evenly among 62 boxes. How many grapes will be in each box?

Gemini-1.5 Flash:

    Reasoning:  To find out how many grapes are in each box, we need to divide the total number of grapes by the number of boxes.

     So, we have 1426 grapes / 62 boxes = <<1426/62=23>> 23 grapes per box.

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

Problem: If instead of 1426 grapes, the vineyard harvested 4830 grapes and still wanted to distribute them evenly among the 62 boxes, how many grapes would now be in each box?

Gemini-1.5 Flash:

    Reasoning: To find the number of grapes per box, we divide the total number of grapes by the number of boxes.

    So, we have 4830 grapes / 62 boxes = <<4830/62=78>> 78 grapes per box.

    ### Answer: 78

Expected answer: 2415/31

Correct? No

🔗 Problem

Problem: A group of scientists studying marine life have found 1152 starfish distributed evenly over 72 square feet of seafloor. How many starfish are there in each square foot of seafloor?

Gemini-1.5 Flash:

    Reasoning: To find out how many starfish are in each square foot, we need to divide the total number of starfish by the area of the seafloor. So, we divide 1152 starfish by 72 square feet.

    1152 starfish / 72 square feet = 16 starfish per square foot

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: The scientists then study a different area of seafloor and find 833 starfish distributed evenly over the same 72 square feet. How many starfish are there in each square foot of this different seafloor area?

Gemini-1.5 Flash:

    Reasoning: To find the number of starfish per square foot in this new area, we divide the total number of starfish by the area of the seafloor.

    833 starfish / 72 square feet = 11.57 starfish per square foot (approximately)

    ### Answer: 11.57

Expected answer: 833/72

Correct? No

🔗 Problem

Problem: In a sandbox, a child splits 36 toy trucks evenly between his 18 stuffed animals. How many toy trucks does each stuffed animal get?

Gemini-1.5 Flash:

    Reasoning: The child splits 36 toy trucks evenly between 18 stuffed animals, so each stuffed animal gets 36/18 = <<36/18=2>>2 toy trucks.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: The child then finds another huge stash of toy trucks totalling 2925. He continues to distribute them evenly among his 18 stuffed animals. How many additional toy trucks does each stuffed animal get now?

Gemini-1.5 Flash:

    Reasoning:  The child finds 2925 toy trucks and distributes them evenly among his 18 stuffed animals.  Each stuffed animal receives 2925/18 = <<2925/18=162.5>>162.5 toy trucks. However, since you can't have half a truck, we round down to 162.

    ### Answer: 162

Expected answer: 325/2

Correct? No

🔗 Problem

Problem: A police officer patrols a city that has been divided into 240 blocks. The city is divided evenly among 30 officers. How many blocks is each officer responsible for?

Gemini-1.5 Flash:

    Reasoning: If there are 30 officers and 240 blocks, then each officer is responsible for 240/30 = 8 blocks.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Now consider a larger city that is spread across 3698 blocks. It is also monitored by 30 police officers. How many blocks would each officer be responsible for in this larger city?

Gemini-1.5 Flash:

    Reasoning: If there are 30 officers and 3698 blocks, then each officer is responsible for 3698/30 = 123.27 blocks. Since you can't have a fraction of a block, we would round up to the nearest whole number.

    ### Answer: 124

Expected answer: 1849/15

Correct? No

🔗 Problem

Problem: In an enchanted forest, there are 7917 unicorns spread evenly among 87 meadows. How many unicorns are there in each meadow?

Gemini-1.5 Flash:

    To find out how many unicorns are in each meadow, we need to divide the total number of unicorns by the number of meadows.

    7917 unicorns / 87 meadows = 91 unicorns per meadow.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: If the enchanted forest had originally contained 2842 unicorns evenly distributed among the 87 meadows instead of 7917, how many unicorns would there be in each meadow?

Gemini-1.5 Flash:

    To find out how many unicorns are in each meadow, we need to divide the total number of unicorns by the number of meadows.

    2842 unicorns / 87 meadows = 33 unicorns per meadow.

    ### Answer: 33

Expected answer: 98/3

Correct? No

🔗 Problem

Problem: A river flows 902 kilometers through a country, passing through 82 cities along its course. If the river's length is evenly distributed among these cities, how many kilometers of the river's length are there within each city?

Gemini-1.5 Flash:

    Reasoning: To find the length of the river within each city, we divide the total river length by the number of cities.
    This means each city has 902 kilometers / 82 cities = <<902/82=11>>11 kilometers of river length.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: Suppose instead, the river was longer and flowed 3767 kilometers through the same country, passing through the same 82 cities along its course. If the river's length is evenly distributed among these cities under this new scenario, how many kilometers of the river's length would there be within each city?

Gemini-1.5 Flash:

    Reasoning: We divide the new total river length by the number of cities to find the length within each city.
    This means each city has 3767 kilometers / 82 cities = <<3767/82=46>>46 kilometers of river length.

    ### Answer: 46

Expected answer: 3767/82

Correct? No

🔗 Problem

Problem: A sunglasses manufacturer produces a total of 552 sunglasses across 69 different production runs. If every run produces an equal number of sunglasses, how many sunglasses are made in each run?

Gemini-1.5 Flash:

    Reasoning: If each production run makes the same number of sunglasses, and the manufacturer produces 552 sunglasses in 69 runs, then each run produces 552/69 = 8 sunglasses.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: The sunglasses manufacturer actually made a total of 7712 sunglasses across the same 69 production runs. If every run now produced an equal number of sunglasses, how many sunglasses would be made in each run?

Gemini-1.5 Flash:

    Reasoning: If each production run makes the same number of sunglasses, and the manufacturer produces 7712 sunglasses in 69 runs, then each run produces 7712/69 = 112 sunglasses.
    ### Answer: 112

Expected answer: 7712/69

Correct? No

🔗 Problem

Problem: A baby grows at an average rate of 2125 grams in his first 25 days. What is the average daily weight gain of the baby?

Gemini-1.5 Flash:

    To find the average daily weight gain, we need to divide the total weight gain by the number of days:

    Average daily weight gain = Total weight gain / Number of days

    Average daily weight gain = 2125 grams / 25 days

    Average daily weight gain = 85 grams/day

    ### Answer: 85 grams/day

Expected answer: 85

Correct? Yes

🔗 Follow-up

Problem: If instead, the baby grows at an average rate of 392 grams in his first 25 days, what is now the average daily weight gain of the baby?

Gemini-1.5 Flash:

    To find the average daily weight gain, we need to divide the total weight gain by the number of days:

    Average daily weight gain = Total weight gain / Number of days

    Average daily weight gain = 392 grams / 25 days

    Average daily weight gain = 15.68 grams/day

    ### Answer: 15.68 grams/day

Expected answer: 392/25

Correct? No

🔗 Problem

Problem: A lamp factory has produced a total of 1073 lamps over 37 consecutive days. If the factory makes the same quantity each day, how many lamps does it manufacture daily?

Gemini-1.5 Flash:

    Reasoning: If the factory produces the same number of lamps every day for 37 consecutive days, then the number of lamps produced each day is 1073/37.
    ### Answer: 29

Expected answer: 29

Correct? Yes

🔗 Follow-up

Problem: If the lamp factory had instead produced a total of 7668 lamps over the same 37 consecutive days, how many lamps would it have manufactured daily?

Gemini-1.5 Flash:

    Reasoning: If the factory produces the same number of lamps every day for 37 consecutive days, then the number of lamps produced each day is 7668/37.
    ### Answer: 207

Expected answer: 7668/37

Correct? No

🔗 Problem

Problem: A tiger walked a total of 2556 meters in 36 minutes. How many meters did the tiger walk in one minute?

Gemini-1.5 Flash:

    Reasoning: To find out how many meters the tiger walked in one minute, we need to divide the total distance by the total time.  So, we divide the total distance (2556 meters) by the total time (36 minutes).

    2556 meters / 36 minutes = 71 meters/minute

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Follow-up

Problem: After some recalibration, it was discovered that the tiger actually walked a total of 2301 meters, and not 2556 meters, in 36 minutes. Given this new information, how many meters did the tiger walk in one minute?

Gemini-1.5 Flash:

    Reasoning:  We now know the tiger walked 2301 meters in 36 minutes. To find out how many meters the tiger walked in one minute, we divide the total distance by the total time.

    2301 meters / 36 minutes = 63.92 meters/minute (approximately)

    ### Answer: 63.92

Expected answer: 767/12

Correct? No

🔗 Problem

Problem: There are 30 keys on a piano that you are considering to buy. If each key contributes equally to the total cost of the piano, and the piano costs 30 dollars, how much does each key cost?

Gemini-1.5 Flash:

    Reasoning: Since each key contributes equally to the cost, we can divide the total cost by the number of keys to find the cost of each key.

    Therefore, each key costs $30 / 30 = $1.
    ### Answer: $1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Now suppose you are considering a much more expensive piano that has the same number of keys but costs $6906 in total. If each key contributes equally to the total cost, how much does each key on this piano cost?

Gemini-1.5 Flash:

    Reasoning: Similar to the previous calculation, we can find the cost of each key by dividing the total cost by the number of keys.

    Therefore, each key costs $6906 / 30 = $230.20.

    ### Answer: $230.20

Expected answer: 1151/5

Correct? No

🔗 Problem

Problem: On the beach, there are 1804 seashells scattered across a 41-meter stretch of sand. If the seashells are distributed evenly across this stretch, how many seashells are there per meter?

Gemini-1.5 Flash:

    Reasoning: To find out how many seashells are per meter, we need to divide the total number of seashells by the length of the beach.
    This gives us 1804 seashells / 41 meters = <<1804/41=44>> 44 seashells per meter.

    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: Now consider this: instead of 1804 seashells, there are 9083 seashells evenly scattered across the same 41-meter stretch of beach sand. How many seashells would there be per meter now?

Gemini-1.5 Flash:

    Reasoning:  To find the number of seashells per meter, we divide the total number of seashells by the length of the beach.

    This gives us 9083 seashells / 41 meters = <<9083/41=221>> 221 seashells per meter.

    ### Answer: 221

Expected answer: 9083/41

Correct? No

🔗 Problem

Problem: A kite is flown for a total of 1311 minutes over the course of 23 days during the summer. If the kite is flown for the same amount of time each day, how many minutes is the kite in the air per day?

Gemini-1.5 Flash:

    To find out how many minutes the kite is in the air per day, we need to divide the total minutes flown by the number of days:

    1311 minutes / 23 days = 57 minutes/day

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: Instead of 1311 minutes of total flight time, suppose the kite was flown for a total of 9051 minutes over the same duration of 23 days. How many minutes per day was the kite in the air now?

Gemini-1.5 Flash:

    To find out how many minutes the kite was in the air per day, we'll divide the total flight time by the number of days:

    9051 minutes / 23 days = 393.52 minutes/day (approximately)

    ### Answer: 393.52

Expected answer: 9051/23

Correct? No

🔗 Problem

Problem: A farmer harvested 2065 kilograms of tomatoes evenly from her 59 tomato plants. How many kilograms of tomatoes were produced by each plant on average?

Gemini-1.5 Flash:

    Reasoning:  To find the average yield per plant, we divide the total harvest by the number of plants.

    This gives us 2065 kilograms / 59 plants = 35 kilograms/plant.

    ### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Follow-up

Problem: The farmer then realized she made a mistake in her count. She actually harvested 1021 kilograms of tomatoes from her 59 tomato plants instead of 2065 kilograms. Based on this new information, how many kilograms of tomatoes were produced by each plant on average now?

Gemini-1.5 Flash:

    Reasoning: We need to divide the total harvest by the number of plants to find the average yield per plant.

    This gives us 1021 kilograms / 59 plants = 17.32 kilograms/plant (rounded to two decimal places).

    ### Answer: 17.32

Expected answer: 1021/59

Correct? No

🔗 Problem

Problem: A small indoor mouse can travel a total distance of 4928 meters by running all over the house in 77 hours. On average, how many meters does the mouse run in one hour?

Gemini-1.5 Flash:

    Reasoning: The mouse runs an average of 4928 meters / 77 hours = <<4928/77=64>>64 meters per hour.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Consider instead that the indoor mouse had the ability to travel a total distance of 4928 meters in a shorter time span of 3690 minutes. On average, how many meters does the mouse run in one minute now?

Gemini-1.5 Flash:

    Reasoning: The mouse runs an average of 4928 meters / 3690 minutes =  <<4928/3690 = 1.33>>1.33 meters per minute.
    ### Answer: 1.33

Expected answer: 2464/1845

Correct? No

🔗 Problem

Problem: A kite flies at a height of 1800 feet using a 50-foot string. How high is the kite flying per each foot of the used string?

Gemini-1.5 Flash:

    Reasoning: To find out how high the kite flies per each foot of string, we need to divide the kite's height by the length of the string.

    This means we need to calculate 1800 feet / 50 feet = <<1800/50=36>> 36 feet per foot of string.

    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: Suppose the kite now flies at a height of 5659 feet using the same 50-foot string. Now, how high is the kite flying per each foot of the used string?

Gemini-1.5 Flash:

    Reasoning: To find out how high the kite flies per each foot of string, we need to divide the kite's height by the length of the string.

    This means we need to calculate 5659 feet / 50 feet = <<5659/50=113.18>> 113.18 feet per foot of string.

    ### Answer: 113.18

Expected answer: 5659/50

Correct? Yes

🔗 Problem

Problem: During a camping trip, you gather 2208 ounces of firewood, which needs to be evenly divided over 96 hours of maintaining the campfire. How many ounces of firewood are used per hour?

Gemini-1.5 Flash:

    To find out how many ounces of firewood are used per hour, we need to divide the total amount of firewood by the number of hours.

    So, we have 2208 ounces / 96 hours = 23 ounces/hour.

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A princess has received 600 gifts for her birthday. She decides to evenly distribute these gifts among 50 of her closest friends. How many gifts does each friend receive?

Gemini-1.5 Flash:

    Reasoning:  To find out how many gifts each friend receives, we need to divide the total number of gifts (600) by the number of friends (50).

    600 gifts / 50 friends = 12 gifts per friend

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: In the following year, the princess receives 4030 gifts for her birthday. She again decides to evenly distribute this larger amount of presents among her 50 close friends. How many gifts does each friend get in this year?

Gemini-1.5 Flash:

    Reasoning:  To find out how many gifts each friend receives, we need to divide the total number of gifts (4030) by the number of friends (50).

    4030 gifts / 50 friends = 80.6 gifts per friend

    Since we can't give out fractions of gifts, each friend would receive 80 gifts.

    ### Answer: 80

Expected answer: 403/5

Correct? No

🔗 Problem

Problem: Over the course of a 52-week year, you burned a total of 4264 logs in your fireplace. How many logs did you burn on average each week?

Gemini-1.5 Flash:

    Reasoning: To find the average number of logs burned per week, divide the total number of logs burned by the number of weeks in a year. So, 4264 logs / 52 weeks = <<4264/52=82>> 82 logs per week.

    ### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Follow-up

Problem: Now, consider that throughout this year, you actually burned a total of 4264 logs, but over a shorter period of 3764 hours. How many logs did you burn on average each hour?

Gemini-1.5 Flash:

    Reasoning: To find the average number of logs burned per hour, divide the total number of logs burned by the total number of hours. So, 4264 logs / 3764 hours = <<4264/3764 = 1.134>> approximately 1.134 logs per hour.

    ### Answer: 1.134

Expected answer: 1066/941

Correct? No

🔗 Problem

Problem: An unidentified flying object (UFO) traveled a distance of 1278 miles in 71 minutes. Assuming the UFO traveled at a constant speed, what was the UFO's speed in miles per minute?

Gemini-1.5 Flash:

    To find the UFO's speed, we need to divide the total distance traveled by the time taken.

    * **Distance:** 1278 miles
    * **Time:** 71 minutes

    **Speed = Distance / Time**

    Speed = 1278 miles / 71 minutes

    Speed ≈ 18 miles per minute

    ### Answer: 18 miles per minute

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: If instead, the UFO traveled the same distance of 1278 miles, but this time over a longer period of 218 minutes, what then would be the UFO's speed in miles per minute?

Gemini-1.5 Flash:

    We can calculate the UFO's speed using the same formula:

    * **Distance:** 1278 miles
    * **Time:** 218 minutes

    **Speed = Distance / Time**

    Speed = 1278 miles / 218 minutes

    Speed ≈ 5.86 miles per minute

    ### Answer: 5.86 miles per minute

Expected answer: 639/109

Correct? No

🔗 Problem

Problem: A snail travels a total distance of 1610 cm in 35 days. If the snail travels the same distance each day, how many centimeters does the snail travel daily?

Gemini-1.5 Flash:

    Reasoning: The snail travels 1610 cm / 35 days = <<1610/35=46>>46 centimeters daily.
    ### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Follow-up

Problem: If instead, the snail traveled a total distance of 9521 cm over the same 35 days, how many centimeters would the snail travel daily?

Gemini-1.5 Flash:

    Reasoning: The snail travels 9521 cm / 35 days = <<9521/35=272.03>> 272.03 centimeters daily.
    ### Answer: 272.03

Expected answer: 9521/35

Correct? No

🔗 Problem

Problem: A beach resort is hosting a sandcastle-building competition. They brought 960 pounds of sand for the event, and they need to divide it evenly among 80 competitor stations. How much sand will there be at each station?

Gemini-1.5 Flash:

    Reasoning: To find out how much sand each station will have, we need to divide the total amount of sand by the number of stations: 960 pounds / 80 stations = 12 pounds/station.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: What if the beach resort decided to bring in more sand for the sandcastle-building competition and now they have 1120 pounds distributed among the same 80 competitor stations? Now, how much sand will there be at each station?

Gemini-1.5 Flash:

    Reasoning:  We need to divide the new total amount of sand (1120 pounds) by the number of stations (80) to find out how much sand each station will have: 1120 pounds / 80 stations = 14 pounds/station.

    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: A jewellery store received a shipment of 2520 colourful bracelets and decided to divide them evenly amongst 56 display cases. How many bracelets would be in each display case?

Gemini-1.5 Flash:

    Reasoning: To find out how many bracelets are in each display case, we need to divide the total number of bracelets by the number of display cases.
    So, we have 2520 bracelets / 56 display cases = <<2520/56=45>> 45 bracelets per display case.

    ### Answer: 45

Expected answer: 45

Correct? Yes

🔗 Follow-up

Problem: After the jewellery store's successful sale, they decided to bring in a fresh shipment of 5311 new bracelets. If they distributed these new bracelets equally amongst the same 56 display cases as before, how many bracelets would be in each display case now?

Gemini-1.5 Flash:

    Reasoning: To find out how many bracelets are in each display case, we need to divide the total number of bracelets by the number of display cases.
    So, we have 5311 bracelets / 56 display cases = <<5311/56=94.84>> 94.84 bracelets per display case.  Since we can't have a fraction of a bracelet, we'll round down to the nearest whole number.

    ### Answer: 94

Expected answer: 5311/56

Correct? No

🔗 Problem

Problem: A tiger travels a total distance of 4104 miles over 54 days. If the tiger traveled an equal number of miles each day, how many miles does the tiger travel in one day?

Gemini-1.5 Flash:

    To find out how many miles the tiger travels in one day, we need to divide the total distance by the number of days.

    So, the tiger travels 4104 miles / 54 days = 76 miles per day.

    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

Problem: Now suppose that the tiger traveled a shorter distance of 2498 miles over the same period of 54 days. If the tiger still travelled an equal number of miles each day, how many miles would the tiger travel in one day now?

Gemini-1.5 Flash:

    If the tiger traveled 2498 miles over 54 days, we can find the distance traveled in one day by dividing the total distance by the number of days.

    Therefore, the tiger would travel 2498 miles / 54 days = 46.26 miles per day (approximately).

    ### Answer: 46.26

Expected answer: 1249/27

Correct? No

🔗 Problem

Problem: A host baked cookies for a party and made a total of 2460 cookies. The baking process is evenly distributed over 60 batches. How many cookies are there in each batch?

Gemini-1.5 Flash:

    Reasoning: To find the number of cookies per batch, we divide the total number of cookies by the number of batches: 2460 cookies / 60 batches = 41 cookies/batch.

    ### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Follow-up

Problem: The host now realized he miscalculated and actually baked 2460 cookies over 554 batches not 60. How many cookies are in each batch now?

Gemini-1.5 Flash:

    Reasoning:  To find the number of cookies per batch, we divide the total number of cookies by the number of batches: 2460 cookies / 554 batches = 4.44 cookies/batch (approximately).  Since we can't have a fraction of a cookie, we can round down to the nearest whole number.

    ### Answer: 4

Expected answer: 1230/277

Correct? No

🔗 Problem

Problem: If you divide 156 evenly into 6 sets, how many numbers will be in each set?

Gemini-1.5 Flash:

    To find out how many numbers are in each set, we need to divide the total number of numbers (156) by the number of sets (6).

    156 / 6 = 26

    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Follow-up

Problem: If instead of splitting 156 items, you had to divide a larger number of items, like 2347, into the same 6 groups, how many items would be in each group now?

Gemini-1.5 Flash:

    To find out how many items would be in each group, we need to divide the total number of items (2347) by the number of groups (6).

    2347 / 6 = 391.1666666666667

    Since we can't have a fraction of an item, we round down to the nearest whole number.

    ### Answer: 391

Expected answer: 2347/6

Correct? No

🔗 Problem

Problem: A bubble machine produces a total of 888 bubbles over a period of 24 minutes. How many bubbles does it produce in a minute?

Gemini-1.5 Flash:

    Reasoning: To find the number of bubbles per minute, we divide the total number of bubbles by the number of minutes: 888 bubbles / 24 minutes = 37 bubbles/minute.

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Follow-up

Problem: The bubble machine's performance improved and it now produces a total of 6080 bubbles over the same period of 24 minutes. How many bubbles does it produce in a minute now?

Gemini-1.5 Flash:

    Reasoning: To find the new number of bubbles per minute, we divide the new total number of bubbles by the number of minutes: 6080 bubbles / 24 minutes = 253.33 bubbles/minute.  Since we can't have a fraction of a bubble, we round down to the nearest whole number.

    ### Answer: 253

Expected answer: 760/3

Correct? No

🔗 Problem

Problem: A rainbow appears after a rainstorm and lasts for 680 seconds. It cycles through its complete range of colors 8 times during its appearance. How many seconds does it spend on each cycle?

Gemini-1.5 Flash:

    Reasoning: To find out how many seconds the rainbow spends on each cycle, we need to divide the total duration of the rainbow by the number of cycles.

    The rainbow lasts for 680 seconds and goes through 8 cycles, so each cycle takes 680 seconds / 8 cycles = 85 seconds per cycle.

    ### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Follow-up

Problem: In an unusual display, a different rainbow after a subsequent rainstorm lasts for 8713 seconds while still cycling through its complete range of colors 8 times. How many seconds does this rainbow spend on each cycle?

Gemini-1.5 Flash:

    Reasoning: Similar to the previous calculation, we need to divide the total duration of this rainbow by the number of cycles.

    This rainbow lasts 8713 seconds and cycles through its colors 8 times. Therefore, each cycle takes 8713 seconds / 8 cycles = 1089.125 seconds.

    ### Answer: 1089.125

Expected answer: 8713/8

Correct? Yes

🔗 Problem

Problem: A ball recycler has a total of 3864 balls that he wants to evenly distribute into 42 recycling bins. How many balls will there be in each bin?

Gemini-1.5 Flash:

    Reasoning: To find out how many balls will be in each bin, we need to divide the total number of balls by the number of bins.
    Therefore, 3864 balls / 42 bins = <<3864/42=92>> 92 balls per bin.

    ### Answer: 92

Expected answer: 92

Correct? Yes

🔗 Follow-up

Problem: If the ball recycler instead had a total of 4934 balls that he wanted to evenly distribute into 42 recycling bins, how many balls would there be in each bin?

Gemini-1.5 Flash:

    Reasoning:  To find the number of balls in each bin, we divide the total number of balls by the number of bins.
    Therefore, 4934 balls / 42 bins = <<4934/42=117.5>>  117.5 balls per bin.

    Since we can't have half a ball, we'll round down to the nearest whole number.

    ### Answer: 117

Expected answer: 2467/21

Correct? No

🔗 Problem

Problem: A metalsmith is making rings. He has 1610 grams of silver and decides to use 70 grams of silver for each ring. How many rings can the metalsmith create?

Gemini-1.5 Flash:

    Reasoning: To find out how many rings the metalsmith can make, we need to divide the total amount of silver by the amount of silver used per ring.
    This means we need to calculate 1610 grams / 70 grams/ring = <<1610/70=23>> 23 rings.

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

Problem: The metalsmith decided to melt more silver from the warehouse and now he has a total of 5312 grams of silver. If he continues using the same amount of 70 grams of silver for each ring, how many rings can the metalsmith create now?

Gemini-1.5 Flash:

    Reasoning: To find out how many rings the metalsmith can make now, we need to divide the total amount of silver he has by the amount of silver used per ring.
    This means we need to calculate 5312 grams / 70 grams/ring = <<5312/70=76>> 76 rings.

    ### Answer: 76

Expected answer: 2656/35

Correct? No

🔗 Problem

Problem: A crate contains 88 apples. If the apples are equally distributed into 44 bags, how many apples does each bag contain?

Gemini-1.5 Flash:

    Reasoning: To find out how many apples are in each bag, we divide the total number of apples by the number of bags.

    So, each bag contains 88 / 44 = 2 apples.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: Suppose we reconsider the number of apples and there are actually 8840 apples in the crate instead of 88. If these apples are still equally distributed into 44 bags, how many apples would each bag contain now?

Gemini-1.5 Flash:

    Reasoning: To find out how many apples are in each bag, we divide the total number of apples by the number of bags.

    So, each bag contains 8840 / 44 = 201 apples.

    ### Answer: 201

Expected answer: 2210/11

Correct? No

🔗 Problem

Problem: A jewelry maker uses 87 precious stones to create a bracelet that consists of 29 identical parts. How many stones are there in each part of the bracelet?

Gemini-1.5 Flash:

    Reasoning: To find out how many stones are in each part, we divide the total number of stones by the number of parts.

    Therefore, each part of the bracelet has 87/29 = <<87/29=3>> 3 stones.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: The jewelry maker now uses 8017 precious stones to create the bracelet still keeping the same structure of 29 identical parts. How many stones are there in each part of the new bracelet?

Gemini-1.5 Flash:

    Reasoning: To find out how many stones are in each part of the new bracelet, we divide the total number of stones by the number of parts.

    Therefore, each part of the new bracelet has 8017 / 29 = <<8017/29=276>> 276 stones.

    ### Answer: 276

Expected answer: 8017/29

Correct? No

🔗 Problem

Problem: A beverage company has set a target of filling 1320 bottles with juice evenly spread over 88 hours. How many bottles are filled per hour?

Gemini-1.5 Flash:

    To find out how many bottles are filled per hour, we need to divide the total number of bottles by the number of hours.

    So, we have 1320 bottles / 88 hours = 15 bottles/hour.

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: The beverage company has now set a new target of filling 8607 bottles with juice, maintaining the same 88 hours of operation. How many bottles are filled per hour under this new target?

Gemini-1.5 Flash:

    To find out how many bottles are filled per hour under the new target, we need to divide the total number of bottles by the number of hours.

    So, we have 8607 bottles / 88 hours = 97.8 bottles/hour.

    Since we can't fill a fraction of a bottle, we round down to the nearest whole number.

    ### Answer: 97

Expected answer: 8607/88

Correct? No

🔗 Problem

Problem: Annapurna is an avid gardener and plans to plant 3520 tulips in 40 equal rows. How many tulips will she plant in each row?

Gemini-1.5 Flash:

    Annapurna will plant 3520/40 = <<3520/40=88>>88 tulips in each row.
    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: Anna now realized she made a mistake earlier. Instead of 40 rows, she remembered that she actually only has 3052 spaces to plant her tulips. If she wants to split the 3520 tulips evenly, how many tulips will she plant in each space?

Gemini-1.5 Flash:

    Anna will plant 3520/3052 =  <<3520/3052=1.153>> 1.153 tulips in each space. However, since you can't plant parts of tulips, she won't be able to plant all of them evenly.
    ### Answer: 1.153

Expected answer: 880/763

Correct? No

🔗 Problem

Problem: A toy shop produced 3306 doll clothes and distributed them evenly among 58 dolls. How many pieces of clothing did each doll get?

Gemini-1.5 Flash:

    Reasoning: To find out how many pieces of clothing each doll got, we need to divide the total number of clothes by the number of dolls. So, we have 3306 divided by 58.

    3306 / 58 = 57

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: After another production run, the toy shop produced an additional 9115 doll clothes and distributed them evenly among the same 58 dolls. How many pieces of clothing did each doll get this time?

Gemini-1.5 Flash:

    Reasoning: To find out how many pieces of clothing each doll got this time, we need to divide the total number of new clothes by the number of dolls.

    9115 / 58 = 157

    ### Answer: 157

Expected answer: 9115/58

Correct? No

🔗 Problem

Problem: A bear consumes 1881 pounds of food over a 19-day hibernation period. On average, how many pounds of food does the bear consume per day during this period?

Gemini-1.5 Flash:

    To find the average amount of food consumed per day, we need to divide the total amount of food by the number of days.

    So, the bear consumes an average of 1881 pounds / 19 days = 99 pounds of food per day.

    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: If the same bear were to consume 7207 pounds of food over the same 19-day hibernation period instead, how many pounds of food would the bear consume per day during this period in that case?

Gemini-1.5 Flash:

    To find the average daily consumption, we divide the total food consumed by the number of days.

    So, in this case, the bear would consume an average of 7207 pounds / 19 days = 379 pounds of food per day.

    ### Answer: 379

Expected answer: 7207/19

Correct? No

🔗 Problem

Problem: A plane flew 1720 miles in 86 hours. How many miles did the plane fly per hour?

Gemini-1.5 Flash:

    Reasoning: To find the miles per hour, we need to divide the total miles flown by the total time taken.
    This is: 1720 miles / 86 hours = <<1720/86=20>> 20 miles per hour.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: If the same plane had flown 1990 miles instead of 1720 miles in the same 86 hours, how many miles did the plane fly per hour then?

Gemini-1.5 Flash:

    Reasoning:  To find the miles per hour, we need to divide the total miles flown by the total time taken.
    This is: 1990 miles / 86 hours = <<1990/86=23>> 23 miles per hour.

    ### Answer: 23

Expected answer: 995/43

Correct? No

🔗 Problem

Problem: A pencil factory manufactured 4950 pencils over a period of 90 hours. If the factory produced the same number of pencils every hour, how many pencils did it produce each hour?

Gemini-1.5 Flash:

    Reasoning:  To find the number of pencils produced per hour, divide the total number of pencils by the number of hours: 4950 pencils / 90 hours = 55 pencils/hour.
    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: The pencil factory revised its production records and found out that it actually produced 3487 pencils over a period of 90 hours, not 4950 pencils. If this new total amount was produced evenly over the same period, how many pencils did the factory actually produce each hour?

Gemini-1.5 Flash:

    Reasoning: To find the number of pencils produced per hour, divide the total number of pencils by the number of hours: 3487 pencils / 90 hours = 38.74 pencils/hour. Since you can't produce a fraction of a pencil, we round down to the nearest whole number.
    ### Answer: 38

Expected answer: 3487/90

Correct? No

🔗 Problem

Problem: During a certain season, a garden produces a total of 780 tomatoes. If this output is evenly distributed over 52 weeks, how many tomatoes does the garden produce each week?

Gemini-1.5 Flash:

    Reasoning: To find out how many tomatoes are produced each week, we need to divide the total number of tomatoes by the number of weeks.
    So, the garden produces 780/52 = <<780/52=15>>15 tomatoes each week.
    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: In the following season, conditions improve in the garden and it produces a total of 2502 tomatoes. If this greater output is distributed evenly across 52 weeks like before, how many tomatoes does the garden produce each week now?

Gemini-1.5 Flash:

    Reasoning: To find out how many tomatoes are produced each week, we need to divide the total number of tomatoes by the number of weeks.
    So, the garden produces 2502/52 = <<2502/52=48>>48 tomatoes each week.
    ### Answer: 48

Expected answer: 1251/26

Correct? No

🔗 Problem

Problem: A tiger travels a total distance of 1679 km evenly over a period of 73 days. How many kilometers does the tiger cover each day?

Gemini-1.5 Flash:

    Reasoning: To find the distance covered each day, we divide the total distance by the number of days.
    Therefore, the tiger covers 1679 km / 73 days = <<1679/73=23>> 23 km each day.

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

Problem: If the same tiger were to travel a total distance of 7008 km, instead of 1679 km, evenly over the SAME period of 73 days, how many kilometers would the tiger cover each day now?

Gemini-1.5 Flash:

    Reasoning: To find the distance covered each day, we divide the total distance by the number of days.
    Therefore, the tiger covers 7008 km / 73 days = <<7008/73=96>> 96 km each day.

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: A popular sporting goods store just got a shipment of 2280 new ice skates. They plan on distributing them equally among their 38 store locations. How many ice skates will each store receive?

Gemini-1.5 Flash:

    Reasoning: To find out how many ice skates each store will receive, we need to divide the total number of ice skates by the number of stores.
    So, we have 2280 ice skates / 38 stores = 60 ice skates per store.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: The sporting goods store unexpectedly received an additional shipment, bringing the total number of new ice skates to 3887. If they still plan on distributing them equally among their 38 store locations, how many ice skates will each store receive now?

Gemini-1.5 Flash:

    Reasoning: We need to divide the new total number of ice skates by the number of stores to find out how many each store will receive.
    So, we have 3887 ice skates / 38 stores = 102.5 ice skates per store.
    Since you can't have half an ice skate, we round down to the nearest whole number.
    ### Answer: 102

Expected answer: 3887/38

Correct? No

🔗 Problem

Problem: You've embarked on reading an epic novel of 4606 pages. You decide to split the reading evenly over 47 days. How many pages do you need to read each day to achieve this?

Gemini-1.5 Flash:

    To find out how many pages you need to read each day, divide the total number of pages by the number of days: 4606 pages / 47 days = 98 pages/day.

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

Problem: Following your initial reading plan, imagine if instead of a 4606 pages epic novel, you chose a different tome with a total of 5982 pages. If you still want to finish reading in 47 days, how many pages would you now need to read each day?

Gemini-1.5 Flash:

    To figure out the new daily reading goal, divide the total pages of the new book by the number of days you want to read it: 5982 pages / 47 days = 127 pages/day.

    ### Answer: 127

Expected answer: 5982/47

Correct? No

🔗 Problem

Problem: A dressmaking company has 3234 centimeters of fabric. If they used 33 centimeters of fabric to make each skirt, how many skirts can they make in total?

Gemini-1.5 Flash:

    Reasoning: Divide the total fabric by the amount used per skirt: 3234 centimeters / 33 centimeters/skirt = 98 skirts.
    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

Problem: If the dressmaking company decides to create a more elaborate skirt design that requires 158 centimeters of fabric per skirt instead of 33 centimeters, how many skirts can they make now with the 3234 centimeters of fabric they have?

Gemini-1.5 Flash:

    Reasoning: Divide the total fabric by the amount used per skirt for the new design: 3234 centimeters / 158 centimeters/skirt = 20.5 skirts.  Since you can't make a fraction of a skirt, they can only make 20 skirts with the new design.
    ### Answer: 20

Expected answer: 1617/79

Correct? No

🔗 Problem

Problem: A doctor has spent a total of 4424 minutes talking with patients over the past 56 days. If the doctor spends the same amount of time talking with patients each day, how many minutes does he spend each day?

Gemini-1.5 Flash:

    Reasoning: To find the number of minutes the doctor spends talking with patients each day, we divide the total minutes by the number of days.
    This means we have 4424 minutes / 56 days = <<4424/56=79>>79 minutes per day.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Follow-up

Problem: On further reflection, the doctor realized that over the past 56 days, he actually only spent 1047 minutes talking with patients. If he spent the same amount of time each day, how many minutes does he actually spend talking with patients daily?

Gemini-1.5 Flash:

    Reasoning: To find the number of minutes the doctor spends talking with patients each day, we divide the total minutes by the number of days.
    This means we have 1047 minutes / 56 days = <<1047/56=18.7>>18.7 minutes per day.

    ### Answer: 18.7

Expected answer: 1047/56

Correct? No

🔗 Problem

Problem: Sam has a total of 3025 marshmallows which he wants to package into bags of 55. How many marshmallows will be in each bag?

Gemini-1.5 Flash:

    This problem is asking how many marshmallows are in *each* bag, and we already know the bag size is 55.

    The total number of marshmallows (3025) is irrelevant to the number of marshmallows in each bag.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: If instead, Sam wants to divide his 3025 marshmallows evenly into 2011 bags, how many marshmallows will be in each bag then?

Gemini-1.5 Flash:

    To find out how many marshmallows are in each bag, we need to divide the total number of marshmallows (3025) by the number of bags (2011).

    3025 marshmallows / 2011 bags = 1.50 marshmallows per bag.

    Since we can't have half a marshmallow, we round down to the nearest whole number.

    ### Answer: 1

Expected answer: 3025/2011

Correct? No

🔗 Problem

Problem: A jeweler has 1944 pieces of beads and wants to create bracelets using an equal number of beads in each bracelet. If the jeweler ends up making 72 bracelets, how many beads does each bracelet have?

Gemini-1.5 Flash:

    Reasoning: The jeweler will use 1944/72 = <<1944/72=27>> beads for each bracelet.
    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: If the jeweler decided instead to make 495 bracelets using the same 1944 beads, how many beads would each bracelet have then?

Gemini-1.5 Flash:

    Reasoning: The jeweler would use 1944/495 = <<1944/495=3.92>> beads for each bracelet.
    ### Answer: 3.92

Expected answer: 216/55

Correct? No

🔗 Problem

Problem: A farmer has 272 carrots and he wants to evenly divide them into 17 bunches for the market. How many carrots will there be in each bunch?

Gemini-1.5 Flash:

    Reasoning:  To find out how many carrots are in each bunch, we divide the total number of carrots by the number of bunches: 272 carrots / 17 bunches = 16 carrots per bunch.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, if the farmer instead had 3176 carrots and still wanted to divide them evenly into 17 bunches, how many carrots would there then be in each bunch?

Gemini-1.5 Flash:

    Reasoning: To find out how many carrots are in each bunch, we divide the total number of carrots by the number of bunches: 3176 carrots / 17 bunches = 186.82 carrots per bunch. Since we can't have parts of carrots, we'll round down to the nearest whole number.

    ### Answer: 186

Expected answer: 3176/17

Correct? No

🔗 Problem

Problem: During a winter season, 1740 inches of snow fell over the course of 87 days. On average, how many inches of snow fell each day?

Gemini-1.5 Flash:

    Reasoning: To find the average snowfall per day, we divide the total snowfall by the number of days.
    So, the average snowfall is 1740 inches / 87 days = <<1740/87=20>> 20 inches per day.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: A carpenter has 80 inches of wood to create a door that requires exactly 80 inches. How many doors can he make?

Gemini-1.5 Flash:

    The carpenter has exactly the amount of wood needed for one door.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: If the carpenter now has 4322 inches of wood instead of 80, how many doors can he make if each door still requires exactly 80 inches of wood?

Gemini-1.5 Flash:

    To find out how many doors the carpenter can make, we need to divide the total amount of wood by the amount of wood needed for each door.

    * Total wood: 4322 inches
    * Wood per door: 80 inches

    Number of doors = Total wood / Wood per door = 4322 inches / 80 inches = 54.025 doors

    Since we can't make a fraction of a door, the carpenter can make a whole 54 doors.

    ### Answer: 54

Expected answer: 2161/40

Correct? No

🔗 Problem

Problem: A doctor, in the course of her career, has treated a total of 2691 patients. If this was achieved over a period of 39 years of active service, how many patients did she attend to in each year on average?

Gemini-1.5 Flash:

    To find the average number of patients the doctor treated per year, we divide the total number of patients by the number of years in service:

    2691 patients / 39 years = 69 patients/year

    ### Answer: 69

Expected answer: 69

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, considering that over her career, the doctor treated a total of 9447 patients, rather than 2691, how many patients did she attend to in each year on average now?

Gemini-1.5 Flash:

    We can calculate the average number of patients the doctor treated per year by dividing the total number of patients by the number of years in service:

    9447 patients / 39 years = 242 patients/year

    ### Answer: 242

Expected answer: 3149/13

Correct? No

🔗 Problem

Problem: A farmer harvested 936 cucumbers from his 52 plants. If he got the same number of cucumbers from each plant, how many cucumbers did he get from each plant?

Gemini-1.5 Flash:

    Reasoning: The farmer harvested 936/52 = <<936/52=18>>18 cucumbers from each plant.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: In the next season, the same farmer harvested a larger crop of 8539 cucumbers from his 52 plants. If he harvested the same number of cucumbers from each plant as in the previous season, how many cucumbers did he get from each plant this time around?

Gemini-1.5 Flash:

    Reasoning:  We know from the previous problem that the farmer harvests 18 cucumbers per plant.  Since we're told he harvested the same number of cucumbers per plant this time, he still harvested 18 cucumbers per plant.
    ### Answer: 18

Expected answer: 8539/52

Correct? No

🔗 Problem

Problem: A party organizer has 2470 balloons to be equally distributed over 26 parties. How many balloons does each party get?

Gemini-1.5 Flash:

    Reasoning: We need to divide the total number of balloons by the number of parties. So, 2470 balloons divided by 26 parties is equal to 2470 / 26 = 95 balloons per party.

    ### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Follow-up

Problem: The party organizer recently received another batch of balloons, increasing the total quantity to 8421. If these are to be equally distributed over the same 26 parties, how many balloons does each party now get?

Gemini-1.5 Flash:

    Reasoning: We need to divide the new total number of balloons by the number of parties. So, 8421 balloons divided by 26 parties is equal to 8421 / 26 = 324 balloons per party.

    ### Answer: 324

Expected answer: 8421/26

Correct? No

🔗 Problem

Problem: A manufacturer makes a large batch of 858 milliliters of juice. It plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain?

Gemini-1.5 Flash:

    Reasoning: To find out how much juice each bottle will contain, we need to divide the total amount of juice by the number of bottles.

    This means we need to calculate 858 milliliters / 13 bottles.

    858 milliliters / 13 bottles = 66 milliliters/bottle

    ### Answer: 66 milliliters

Expected answer: 66

Correct? Yes

🔗 Follow-up

Problem: Given the same situation as before, what if the manufacturer makes a larger batch of 1192 milliliters of juice instead, and still plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain now?

Gemini-1.5 Flash:

    Reasoning:  We need to divide the total amount of juice (1192 milliliters) by the number of bottles (13).

    This means we need to calculate 1192 milliliters / 13 bottles.

    1192 milliliters / 13 bottles = 92 milliliters/bottle

    ### Answer: 92 milliliters

Expected answer: 1192/13

Correct? No

🔗 Problem

Problem: A scooter travels a total of 1600 feet in 64 seconds. How many feet does the scooter travel in each second?

Gemini-1.5 Flash:

    To find the distance traveled per second, we divide the total distance by the total time:

    1600 feet / 64 seconds = 25 feet/second

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: Instead of traveling 1600 feet in 64 seconds, let's assume that the scooter traveled 3984 feet in the same amount of time. How many feet would the scooter travel in each second under this new scenario?

Gemini-1.5 Flash:

    To find the distance traveled per second, we divide the total distance by the total time:

    3984 feet / 64 seconds = 62.25 feet/second

    ### Answer: 62.25

Expected answer: 249/4

Correct? Yes

🔗 Problem

Problem: A company has manufactured a total of 2907 lamps that are to be divided equally among 51 stores. How many lamps will each store receive?

Gemini-1.5 Flash:

    To find out how many lamps each store will receive, we need to divide the total number of lamps by the number of stores:

    2907 lamps / 51 stores = 57 lamps per store.

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: Suppose the company instead manufactured a total of 4753 lamps that are to be divided equally among the 51 stores. How many lamps will each store receive now?

Gemini-1.5 Flash:

    We need to divide the total number of lamps by the number of stores:

    4753 lamps / 51 stores = 93 lamps per store.

    ### Answer: 93

Expected answer: 4753/51

Correct? No

🔗 Problem

Problem: A clock ticks 756 times in 18 minutes. How many times does it tick in one minute?

Gemini-1.5 Flash:

    Reasoning: To find out how many times the clock ticks in one minute, we need to divide the total ticks by the total minutes.

     The clock ticks 756/18 = <<756/18=42>>42 times in one minute.

    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: If instead the clock ticks a total of 3788 times in the same 18-minute period, how many times would it tick in one minute?

Gemini-1.5 Flash:

    Reasoning:  To find out how many times the clock ticks in one minute, we divide the total ticks by the total minutes.

    The clock ticks 3788/18 = <<3788/18=210.44>> 210.44 times in one minute. Since the clock can't tick a fraction of a time, we round down.

    ### Answer: 210

Expected answer: 1894/9

Correct? No

🔗 Problem

Problem: A pillow factory has 930 feathers available to fill their pillows. If they put the same amount of feathers into each pillow and are able to fill 15 pillows, how many feathers are in each pillow?

Gemini-1.5 Flash:

    Reasoning: To find out how many feathers are in each pillow, we need to divide the total number of feathers by the number of pillows.
    So, 930 feathers / 15 pillows = 62 feathers per pillow.

    ### Answer: 62

Expected answer: 62

Correct? Yes

🔗 Follow-up

Problem: An additional pillow factory comes into play where they have 5881 feathers available to fill their pillows. If they also put the same amount of feathers into each pillow and are able to fill 15 pillows just like the first factory, how many feathers would be in each of their pillows?

Gemini-1.5 Flash:

    Reasoning: To find out how many feathers are in each pillow, we need to divide the total number of feathers by the number of pillows.
    So, 5881 feathers / 15 pillows = 392.06 feathers per pillow. Since we can't have a fraction of a feather, we round down to the nearest whole number.

    ### Answer: 392

Expected answer: 5881/15

Correct? No

🔗 Problem

Problem: A pair of binoculars cost $702. If the cost is divided equally amongst a birdwatching group of 54 people, how much does each person have to contribute?

Gemini-1.5 Flash:

    Reasoning: To find out how much each person has to contribute, we divide the total cost by the number of people in the group.
    $702 / 54 = $13.
    ### Answer: $13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: After the birdwatching group purchased the binoculars, they found a different pair costing $446 and decided to return the previous set to buy the cheaper set. If the cost is divided equally amongst the 54 people again, how much does each person have to pay now?

Gemini-1.5 Flash:

    Reasoning: To find out how much each person has to contribute, we divide the total cost of the cheaper binoculars by the number of people in the group.
    $446 / 54 = $8.26 (rounded to the nearest cent).
    ### Answer: $8.26

Expected answer: 223/27

Correct? No

🔗 Problem

Problem: A rope is 510 cm long. If it's divided into 30 equal pieces, how long is each piece?

Gemini-1.5 Flash:

    Reasoning: To find the length of each piece, we divide the total length of the rope by the number of pieces: 510 cm / 30 pieces = 17 cm/piece.

    ### Answer: 17 cm

Expected answer: 17

Correct? Yes

🔗 Follow-up

Problem: Suppose the rope was actually 9650 cm long instead of 510 cm, and we still want to divide it into 30 equal parts. How long would each piece be now?

Gemini-1.5 Flash:

    Reasoning: We follow the same process as before, dividing the total length of the rope by the number of pieces: 9650 cm / 30 pieces = 321.67 cm/piece (rounded to two decimal places).

    ### Answer: 321.67 cm

Expected answer: 965/3

Correct? No

🔗 Problem

Problem: A pirate ship has a total of 6097 gold coins stowed away, evenly distributed among its 91 chests. How many coins are in each chest?

Gemini-1.5 Flash:

    To find out how many coins are in each chest, we need to divide the total number of coins by the number of chests.

    So, 6097 coins / 91 chests = 67 coins per chest.

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider our previous scenario, but this time the pirate ship stashes a total of 6097 gold coins evenly distributed among not 91, but 2910 chests. How many gold coins are now in each chest?

Gemini-1.5 Flash:

    To determine how many coins are in each chest, we need to divide the total number of coins by the number of chests.

    Therefore, we have 6097 coins / 2910 chests = approximately 2.1 coins per chest.

    Since you can't have a fraction of a gold coin, we need to round this down.

    ### Answer: 2

Expected answer: 6097/2910

Correct? No

🔗 Problem

Problem: A treasure chest contains 2425 gold coins. The coins are to be divided evenly among 97 pirates. How many coins does each pirate receive?

Gemini-1.5 Flash:

    To find out how many coins each pirate receives, we divide the total number of coins by the number of pirates: 2425 coins / 97 pirates = 25 coins per pirate.

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: Suppose the treasure chest actually contained 5005 gold coins instead of 2425. If these coins are to be divided evenly among the same 97 pirates, how many coins would each pirate receive now?

Gemini-1.5 Flash:

    To determine the number of coins each pirate would receive with 5005 coins, we divide the total number of coins by the number of pirates: 5005 coins / 97 pirates = 51 coins per pirate (approximately).

    Since we can't have fractions of coins, each pirate would receive 51 coins.

    ### Answer: 51

Expected answer: 5005/97

Correct? No

🔗 Problem

Problem: A boat consumes 204 liters of fuel during a journey of 51 hours. How many liters of fuel does the boat consume in one hour?

Gemini-1.5 Flash:

    Reasoning: To find out how many liters of fuel the boat consumes in one hour, we need to divide the total fuel consumed by the total time of the journey.
    This is represented by the equation: fuel consumption per hour = total fuel consumed / total time of journey.
    Therefore, the boat consumes 204 liters / 51 hours = <<204/51=4>>4 liters of fuel per hour.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: If the boat only had 100 liters of fuel to start with instead of 204 liters for the same 51-hour journey, how much fuel would the boat consume per hour now?

Gemini-1.5 Flash:

    Reasoning:  We know the boat consumes 4 liters of fuel per hour. With only 100 liters of fuel, it wouldn't be able to complete the 51-hour journey.

    However, the question asks how much fuel it would consume *per hour* if it only had 100 liters.  This question is independent of the length of the journey.

    ### Answer: 4

Expected answer: 100/51

Correct? No

🔗 Problem

Problem: A map's scale is such that 8448 kilometers are represented as 96 centimeters. How many kilometers does each centimeter represent on this map?

Gemini-1.5 Flash:

    Reasoning:  We need to find out how many kilometers are represented by 1 centimeter.  To do this, we divide the total kilometers by the total centimeters: 8448 kilometers / 96 centimeters = 88 kilometers/centimeter.

    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: Suppose that on another map, a larger area of 8448 kilometers is represented by a length of 4759 centimeters. In this scenario, how many kilometers would each centimeter represent?

Gemini-1.5 Flash:

    Reasoning: We will use the same approach as before: divide the total kilometers by the total centimeters.

    8448 kilometers / 4759 centimeters = 1.775 kilometers/centimeter (approximately)

    ### Answer: 1.775

Expected answer: 8448/4759

Correct? No

🔗 Problem

Problem: A train travels a total of 584 kms evenly over 73 hours. How many kms does it travel each hour?

Gemini-1.5 Flash:

    To find out how many kilometers the train travels each hour, we need to divide the total distance by the total time.

    So, we have: 584 km / 73 hours = 8 km/hour.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: A train travels a total of 584 kms evenly over 71 hours instead of 73. How many kms does it travel each hour now?

Gemini-1.5 Flash:

    To find out how many kilometers the train travels each hour, we need to divide the total distance by the total time.

    So, we have: 584 km / 71 hours = 8.23 km/hour (approximately).

    ### Answer: 8.23

Expected answer: 584/71

Correct? No

🔗 Problem

Problem: A teacher assigns a total of 3612 pages of reading over 86 days of school. If the teacher assigns an equal number of pages for every day, how many pages does each student need to read daily?

Gemini-1.5 Flash:

    Reasoning: To find out how many pages each student needs to read daily, we need to divide the total number of pages by the number of school days.
    3612 pages / 86 days = <<3612/86=42>> 42 pages per day.

    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: If the teacher realizes that the reading load is too much and reduces the total number of pages to be read to 3612, but spreads them over 328 days instead of 86 days, how many pages would each student need to read daily then?

Gemini-1.5 Flash:

    Reasoning:  We need to divide the total number of pages by the new number of school days to find the daily reading load.

    3612 pages / 328 days =  <<3612/328=11>> 11 pages per day.

    ### Answer: 11

Expected answer: 903/82

Correct? No

🔗 Problem

Problem: A hat maker makes 1083 hats throughout 57 weeks. If the hat maker makes the same amount of hats every week, how many hats does the hat maker produce weekly?

Gemini-1.5 Flash:

    Reasoning: To find out how many hats the maker produces each week, we need to divide the total number of hats by the number of weeks.
    So, the hat maker produces 1083/57 = <<1083/57=19>>19 hats each week.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Follow-up

Problem: In the following year, the hat maker manages to produce a total of 7678 hats over 57 weeks. Maintaining the same pace of production every week as the previous year, how many hats does the hat maker now produce weekly?

Gemini-1.5 Flash:

    Reasoning: To find the weekly production rate, we need to divide the total number of hats by the number of weeks.
    Therefore, the hat maker now produces 7678/57 = <<7678/57=134>> 134 hats each week.

    ### Answer: 134

Expected answer: 7678/57

Correct? No

🔗 Problem

Problem: A sock manufacturer produced 4218 pairs of socks over 74 days. If they produced the same number of socks each day, how many pairs of socks did they make daily?

Gemini-1.5 Flash:

    To find out how many pairs of socks they made daily, we need to divide the total number of pairs of socks by the number of days:

    4218 pairs of socks / 74 days = 57 pairs of socks per day

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: After a reassessment, it was found that the sock manufacturer actually produced a total of 4055 pairs of socks over the same 74 days. With this new information, how many pairs of socks did they make daily?

Gemini-1.5 Flash:

    We need to divide the new total number of pairs of socks by the number of days:

    4055 pairs of socks / 74 days = 55 pairs of socks per day

    ### Answer: 55

Expected answer: 4055/74

Correct? No

🔗 Problem

Problem: A jewellery shop makes bracelets, each using 69 small pearls. From 3657 pearls, how many full bracelets can be made?

Gemini-1.5 Flash:

    Reasoning: To find out how many full bracelets can be made, we need to divide the total number of pearls by the number of pearls needed per bracelet.

    This can be represented by the equation:
    3657 pearls / 69 pearls per bracelet = number of bracelets

    Calculating this division, we get:
    3657 / 69 = 53

    Therefore, the jewellery shop can make 53 full bracelets.

    ### Answer: 53

Expected answer: 53

Correct? Yes

🔗 Problem

Problem: A scooter travelled a total distance of 4000 meters in 80 minutes. How many meters did the scooter travel per minute?

Gemini-1.5 Flash:

    To find the distance travelled per minute, we need to divide the total distance by the total time.

    Distance per minute = Total distance / Total time

    Distance per minute = 4000 meters / 80 minutes

    Distance per minute = 50 meters/minute

    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: In the following week, the same scooter travelled a longer total distance of 5391 meters in the same time period of 80 minutes. How many meters did the scooter travel per minute now?

Gemini-1.5 Flash:

    To find the distance travelled per minute, we need to divide the total distance by the total time.

    Distance per minute = Total distance / Total time

    Distance per minute = 5391 meters / 80 minutes

    Distance per minute = 67.3875 meters/minute

    ### Answer: 67.3875

Expected answer: 5391/80

Correct? Yes

🔗 Problem

Problem: A toy factory makes 364 toys in a week. If the factory operates the same number of hours each day for 4 days a week, how many toys are made per day?

Gemini-1.5 Flash:

    Reasoning: If the factory makes 364 toys in 4 days, then it makes 364/4 = <<364/4=91>>91 toys per day.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: If the toy factory changes its operations and now makes 571 toys in a week over the same 4 days, how many toys are now made per day?

Gemini-1.5 Flash:

    Reasoning: If the factory now makes 571 toys in 4 days, it now makes 571/4 = <<571/4=142.75>>142.75 toys per day.  Since you can't make a fraction of a toy, the factory makes 142 toys per day.

    ### Answer: 142

Expected answer: 571/4

Correct? No

🔗 Problem

Problem: A slide that is 4950 millimeters long is divided into 66 equal sections. How many millimeters long is each section?

Gemini-1.5 Flash:

    Reasoning: To find the length of each section, we divide the total length of the slide by the number of sections: 4950 mm / 66 sections = 75 mm/section.

    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Follow-up

Problem: If the slide was instead 9823 millimeters long but still divided into 66 equal sections, how many millimeters long would each section be now?

Gemini-1.5 Flash:

    Reasoning: To find the length of each section, we divide the total length of the slide by the number of sections: 9823 mm / 66 sections = 148.83 mm/section (approximately).

    ### Answer: 148.83

Expected answer: 893/6

Correct? No

🔗 Problem

Problem: A dragon hoards 726 gold coins in his cave spread evenly among 66 small chests. How many gold coins are there in each chest?

Gemini-1.5 Flash:

    Reasoning: To find out how many gold coins are in each chest, we need to divide the total number of coins by the number of chests.
    So, we have 726 coins / 66 chests = 11 coins per chest.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: Considering the same dragon's hoard from the previous problem, suppose that the dragon actually had 3453 gold coins instead of 726. If the dragon still spread the gold evenly among the 66 chests, how many gold coins would be in each chest now?

Gemini-1.5 Flash:

    Reasoning: To find out how many gold coins are in each chest, we need to divide the total number of coins by the number of chests.
    So, we have 3453 coins / 66 chests = 52.32 coins per chest. Since we can't have a fraction of a coin, we round down to the nearest whole number.
    ### Answer: 52

Expected answer: 1151/22

Correct? No

🔗 Problem

Problem: A group of marine biologists count a total of 702 limbs on a group of starfish. If each starfish has 9 limbs, how many starfish are there in the group?

Gemini-1.5 Flash:

    Reasoning: To find the number of starfish, we divide the total number of limbs by the number of limbs per starfish: 702 limbs / 9 limbs/starfish = <<702/9=78>> 78 starfish.
    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, the marine biologists later noticed that they made a mistake and there were actually only 278 limbs counted. If each starfish still has 9 limbs, how many starfish are there in the group now?

Gemini-1.5 Flash:

    Reasoning: To find the number of starfish, we divide the total number of limbs by the number of limbs per starfish: 278 limbs / 9 limbs/starfish = <<278/9=30.88888889>> 30.88888889 starfish. Since we can't have a fraction of a starfish, we round down to the nearest whole number.
    ### Answer: 30

Expected answer: 278/9

Correct? No

🔗 Problem

Problem: The city park covers an area of 1927 acres. The area is divided into 47 equal sections for various activities and recreational facilities. If each section is of equal size, how large is each section in acres?

Gemini-1.5 Flash:

    Reasoning: To find the size of each section, we need to divide the total area of the park by the number of sections.
    This means each section is 1927 acres / 47 sections = <<1927/47=41>> 41 acres.

    ### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Follow-up

Problem: The city decides to reconfigure the park by further dividing the 1927 acre park into 411 equal sections instead to accommodate more activities and recreational facilities. If each new section is of equal size, how large is each section in acres now?

Gemini-1.5 Flash:

    Reasoning: To find the size of each new section, we need to divide the total area of the park by the new number of sections.
    This means each new section is 1927 acres / 411 sections = <<1927/411=4.69>> 4.69 acres (approximately).

    ### Answer: 4.69

Expected answer: 1927/411

Correct? No

🔗 Problem

Problem: A truck rental company has a total of 744 trucks distributed evenly among 24 branches. How many trucks does each branch have?

Gemini-1.5 Flash:

    Reasoning: To find the number of trucks per branch, we divide the total number of trucks by the number of branches.
    Therefore, each branch has 744 / 24 = <<744/24=31>>31 trucks.

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: The truck rental company decides to add more trucks and now has a total of 6028 trucks. If they are still distributed evenly among the 24 branches, how many trucks does each branch now have?

Gemini-1.5 Flash:

    Reasoning: To find the number of trucks per branch, we divide the total number of trucks by the number of branches.
    Therefore, each branch now has 6028 / 24 = <<6028/24=251.16666666666667>> 251.16666666666667 trucks.  However, since you can't have a fraction of a truck, we round down to the nearest whole number.

    ### Answer: 251

Expected answer: 1507/6

Correct? No

🔗 Problem

Problem: A farmer has 2820 oranges that he wants to distribute equally into 60 boxes. How many oranges will be in each box?

Gemini-1.5 Flash:

    Reasoning: To find out how many oranges will be in each box, we need to divide the total number of oranges by the number of boxes.  So, we divide 2820 oranges by 60 boxes.

    2820 oranges / 60 boxes = 47 oranges per box

    ### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Problem

Problem: A treasure chest contains 7280 gold coins. The coins are evenly distributed in 91 bags. How many gold coins are there in each bag?

Gemini-1.5 Flash:

    Reasoning: To find out how many gold coins are in each bag, we need to divide the total number of coins by the number of bags.
    So, 7280 gold coins / 91 bags = <<7280/91=80>> 80 gold coins per bag.

    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Follow-up

Problem: What if instead of 7280 gold coins, the treasure chest contained 5857 gold coins, still distributed evenly among the 91 bags? How many gold coins would each bag hold now?

Gemini-1.5 Flash:

    Reasoning: To find out how many gold coins are in each bag, we need to divide the total number of coins by the number of bags.
    So, 5857 gold coins / 91 bags = <<5857/91=64>> 64 gold coins per bag.

    ### Answer: 64

Expected answer: 5857/91

Correct? No

🔗 Problem

Problem: A soap factory produced 1980 bars of soap by using 20 equal-sized molds. What is the number of soap bars produced by each mold?

Gemini-1.5 Flash:

    Reasoning: If 20 molds produce 1980 bars of soap, then one mold produces 1980/20 = <<1980/20=99>> bars of soap.
    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: In the following month, the same soap factory now produced 9741 bars of soap using the same 20 equal-sized molds. How many soap bars are now produced by each mold?

Gemini-1.5 Flash:

    Reasoning: If 20 molds produce 9741 bars of soap, then one mold produces 9741/20 = <<9741/20=487.05>> bars of soap. Since you can't have a fraction of a bar of soap, we'll round down to the nearest whole number.
    ### Answer: 487

Expected answer: 9741/20

Correct? No

🔗 Problem

Problem: A mountain is 1457 meters high and consists of 47 equally tall layers of rock. How tall is each layer of rock?

Gemini-1.5 Flash:

    Reasoning: To find the height of each layer, we need to divide the total height of the mountain by the number of layers.
    Therefore, each layer is 1457 meters / 47 layers = <<1457/47=31>>31 meters tall.
    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: Now imagine the mountain's height is adjusted to 8729 meters and it still has the same 47 equally tall layers of rock. How tall would each layer of rock be in this scenario?

Gemini-1.5 Flash:

    Reasoning: To find the height of each layer, we need to divide the total height of the mountain by the number of layers.
    Therefore, each layer is 8729 meters / 47 layers = <<8729/47=185.7>>185.7 meters tall.
    ### Answer: 185.7

Expected answer: 8729/47

Correct? No

🔗 Problem

Problem: A 4230 meter long rope gets divided evenly into 90 pieces. How long is each piece of rope?

Gemini-1.5 Flash:

    Reasoning: To find the length of each piece, we divide the total length of the rope by the number of pieces.
    Each piece of rope is 4230 meters / 90 pieces = <<4230/90=47>>47 meters long.

    ### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Problem

Problem: A forest contains 2508 trees evenly distributed over 38 hectares of land. How many trees are there per hectare?

Gemini-1.5 Flash:

    Reasoning:  To find the number of trees per hectare, we need to divide the total number of trees by the total area:

    2508 trees / 38 hectares = 66 trees per hectare

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Follow-up

Problem: In the same forest, there are 2508 animals living on a 1417-hectares terrain. If the animals are evenly dispersed throughout the forest, how many animals would you expect to encounter in each hectare?

Gemini-1.5 Flash:

    Reasoning: To find the number of animals per hectare, we need to divide the total number of animals by the total area:

    2508 animals / 1417 hectares = 1.77 animals per hectare (approximately)

    ### Answer: 1.77

Expected answer: 2508/1417

Correct? No

🔗 Problem

Problem: A backpacker plans a thru-hike of 4526 miles, intending to walk the same distance each day for 62 days. What is the distance, in miles, that the backpacker walks each day?

Gemini-1.5 Flash:

    The backpacker walks 4526 miles / 62 days = 73 miles per day.
    ### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Follow-up

Problem: After finishing his first thru-hike, the backpacker decides to undertake a shorter journey of 2714 miles, still planning to cover an equal distance every day for 62 days. What is the new distance, in miles, that the backpacker plans to walk each day now?

Gemini-1.5 Flash:

    The backpacker will walk 2714 miles / 62 days = 43.77 miles per day.
    ### Answer: 43.77

Expected answer: 1357/31

Correct? No

🔗 Problem

Problem: An alien sends a pulsating signal every 925 seconds. If the signal is organized into 37 equal pulses, how long is each pulse?

Gemini-1.5 Flash:

    Reasoning: To find the length of each pulse, we divide the total signal length by the number of pulses: 925 seconds / 37 pulses = 25 seconds/pulse.

    ### Answer: 25 seconds

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: If instead of sending a pulsating signal every 925 seconds, the alien sends it every 9094 seconds, how long would each pulse be if the signal is still organized into 37 equal pulses?

Gemini-1.5 Flash:

    Reasoning:  We use the same method as before.  Divide the total signal length by the number of pulses: 9094 seconds / 37 pulses = 245.8 seconds/pulse.

    ### Answer: 245.8 seconds

Expected answer: 9094/37

Correct? No

🔗 Problem

Problem: A dragon had collected a hoard of 3010 jewels over a period of 43 years. If he collected evenly throughout these years, how many jewels did he collect each year?

Gemini-1.5 Flash:

    Reasoning: To find the number of jewels collected each year, we divide the total number of jewels by the number of years.
    So, the dragon collected 3010 / 43 = <<3010/43=70>>70 jewels each year.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

Problem: Let's consider that our dragon, instead of collecting 3010 jewels over 43 years, increased his hoard to 6402 jewels over the same period. If the dragon collected at an even pace throughout these years, how many jewels did he collect each year now?

Gemini-1.5 Flash:

    Reasoning: To find out how many jewels the dragon collected each year, we need to divide the total number of jewels by the number of years.

    So, the dragon collected 6402 / 43 = <<6402/43=149>>149 jewels each year.

    ### Answer: 149

Expected answer: 6402/43

Correct? No

🔗 Problem

Problem: An alien spaceship sends out a pattern of 6699 signals over the course of 87 Earth days. If the spaceship sends the same number of signals each day, how many signals does it send daily?

Gemini-1.5 Flash:

    Reasoning: To find the number of signals sent daily, we divide the total number of signals by the number of days.
    This gives us 6699 signals / 87 days = <<6699/87=77>> 77 signals per day.

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: If the alien spaceship from the previous problem actually sent out the same pattern of 6699 signals over the course of 2715 Earth days instead of 87 days, how many signals does it now send daily?

Gemini-1.5 Flash:

    Reasoning: We can use the same logic as before, dividing the total number of signals by the number of days.  This gives us 6699 signals / 2715 days = <<6699/2715=2.47>> 2.47 signals per day.

    However, since the spaceship can't send a fraction of a signal, we can conclude that it sends **2 signals** each day.  The remaining portion of a signal is likely part of a longer pattern that repeats over multiple days.

    ### Answer: 2

Expected answer: 2233/905

Correct? No

🔗 Problem

Problem: A water tank contains 2016 liters of water. It is designed to provide enough water for 28 days without replenishment. How much water does the tank provide per day?

Gemini-1.5 Flash:

    To find out how much water the tank provides per day, we divide the total amount of water by the number of days.

    2016 liters / 28 days = 72 liters/day

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: Considering the water tank from the previous problem, suppose it was filled with 8329 liters of water instead of 2016 liters. Without changing the duration of usage, how much water would the tank provide per day now?

Gemini-1.5 Flash:

    The duration of usage remains 28 days. With the new amount of water, the tank would provide:

    8329 liters / 28 days = 297.46 liters/day (approximately)

    ### Answer: 297.46

Expected answer: 8329/28

Correct? No

🔗 Problem

Problem: A toy company produced 4686 stuffed animals which were evenly distributed among 66 stores. If each store received the same number of stuffed toys, how many stuffed animals did each store receive?

Gemini-1.5 Flash:

    Reasoning: To find out how many stuffed animals each store received, we need to divide the total number of stuffed animals by the number of stores.

     4686 / 66 = <<4686/66=71>>71

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Follow-up

Problem: Now, imagine if the toy company had to distribute the same 4686 stuffed animals among 1023 stores instead of 66. If they still had to distribute them evenly, how many stuffed animals would each store receive now?

Gemini-1.5 Flash:

    Reasoning: If the company distributes 4686 stuffed animals among 1023 stores, we need to divide the total number of stuffed animals by the number of stores to find out how many each store receives.

    4686 / 1023 = <<4686/1023 = 4.58 (approximately)>> 4.58 (approximately)

    Since you can't have a fraction of a stuffed animal, each store would receive approximately 4 stuffed animals.

    ### Answer: 4 (approximately)

Expected answer: 142/31

Correct? No

🔗 Problem

Problem: A toy car company has 910 toy cars ready for selling and they want to pack them in boxes of 10. How many boxes will they need to pack all the toy cars?

Gemini-1.5 Flash:

    Reasoning:  To find out how many boxes they need, we divide the total number of toy cars by the number of cars that fit in each box: 910 / 10 = 91.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: The toy car company now decides to package the 910 toy cars in larger boxes that can hold 538 cars each. How many boxes will they need now to pack all the toy cars?

Gemini-1.5 Flash:

    Reasoning: To find out how many boxes they need, we divide the total number of toy cars by the number of cars that fit in each box: 910 / 538 = 1.69

    Since we can't have a fraction of a box, we need to round up to the nearest whole number.

    ### Answer: 2

Expected answer: 455/269

Correct? No

🔗 Problem

Problem: A juice factory produces 1333 bottles of juice and packs them evenly into 43 boxes. How many bottles of juice are there in each box?

Gemini-1.5 Flash:

    Reasoning: To find the number of bottles in each box, we divide the total number of bottles by the number of boxes.
    Therefore, there are 1333 / 43 = <<1333/43=31>> 31 bottles of juice in each box.

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: If the juice factory decides to make less juice and only produces 423 bottles instead, still distributed evenly across the 43 boxes, how many bottles of juice would now be in each box?

Gemini-1.5 Flash:

    Reasoning: To find the number of bottles in each box, we divide the total number of bottles by the number of boxes.
    Therefore, there are 423 / 43 = <<423/43=9.84>> 9.84 bottles of juice in each box.

    Since we can't have parts of bottles, we can say that there are **9** bottles in each box. However, there would be some bottles left over.

    ### Answer: 9

Expected answer: 423/43

Correct? No

🔗 Problem

Problem: A generous benefactor donated 741 gifts to a local charity. These gifts were evenly divided between 13 shelters. How many gifts did each shelter receive?

Gemini-1.5 Flash:

    Reasoning: To find out how many gifts each shelter received, we need to divide the total number of gifts by the number of shelters.
    So, each shelter received 741 gifts / 13 shelters = 57 gifts.

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: The benefactor decided to be even more generous and increased the number of gifts to 3697. If these additional gifts were also evenly divided between the 13 shelters, then how many gifts did each shelter receive now?

Gemini-1.5 Flash:

    Reasoning: We need to divide the total number of additional gifts by the number of shelters to find out how many each shelter receives.
    Therefore, each shelter received 3697 gifts / 13 shelters = 284 gifts.

    ### Answer: 284

Expected answer: 3697/13

Correct? No

🔗 Problem

Problem: A child makes a giant snowball with a volume of 528 cubic feet. The child uses the same amount of snow to make each of 16 smaller snowballs. What is the volume of each smaller snowball in cubic feet?

Gemini-1.5 Flash:

    Reasoning: The volume of each smaller snowball is 528 cubic feet divided by 16 snowballs.
    528 cubic feet / 16 snowballs = <<528/16=33>>33 cubic feet per snowball.
    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Follow-up

Problem: If the child decided to make a different giant snowball, this time using a total of 3327 cubic feet of snow, and again divides it to make 16 smaller snowballs, what would be the volume of each smaller snowball in cubic feet?

Gemini-1.5 Flash:

    Reasoning: The volume of each smaller snowball is 3327 cubic feet divided by 16 snowballs.
    3327 cubic feet / 16 snowballs = <<3327/16=208.0625>>208.0625 cubic feet per snowball.
    ### Answer: 208.0625

Expected answer: 3327/16

Correct? No

🔗 Problem

Problem: A slide is 728 inches long and has evenly spaced waves every 56 inches. How many waves are there on the slide?

Gemini-1.5 Flash:

    Reasoning: To find the number of waves, we need to divide the total length of the slide by the length of each wave.

    So, we calculate 728 inches / 56 inches/wave = <<728/56=13>> 13 waves.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: The slide in the amusement park is being redesigned, and its new length is 3769 inches. The waves are still placed every 56 inches. How many waves will the redesigned slide have now?

Gemini-1.5 Flash:

    Reasoning: To find the number of waves on the redesigned slide, we divide the new length of the slide by the length of each wave.

    So, we calculate 3769 inches / 56 inches/wave = <<3769/56=67.3035714286>> 67.3035714286 waves.

    Since we can't have a fraction of a wave, we round down to the nearest whole number.

    ### Answer: 67

Expected answer: 3769/56

Correct? No