🔗 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?

Gemma 2B:

    Reasoning: To find the average number of miles driven per week, we need to divide the total number of miles driven (2496) by the number of weeks (52).

    2496 ÷ 52 = 48

    So, the bus drives an average of 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?

Gemma 2B:

    Reasoning: To find the average number of miles driven per week, we need to divide the total number of miles driven (6100) by the number of weeks (52).

    6100 ÷ 52 = 117.31 (approximately)

    So, the bus would have driven an average of approximately 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?

Gemma 2B:

    Reasoning: To find the daily oxygen consumption, we need to divide the total oxygen consumed (3870 liters) by the number of days (90).

    Daily oxygen consumption = Total oxygen consumption ÷ Number of days
    = 3870 liters ÷ 90 days
    = 43 liters/day

    ### Answer: 43 liters/day

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?

Gemma 2B:

    Reasoning: To find the daily oxygen consumption, we need to divide the total oxygen consumed (3870 liters) by the new number of days (124).

    Daily oxygen consumption = Total oxygen consumption ÷ Number of days
    = 3870 liters ÷ 124 days
    = 31.2 liters/day

    ### Answer: 31.2 liters/day

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?

Gemma 2B:

    Reasoning: To find the number of eggs in each nest, we need to divide the total number of eggs (50) by the number of nests (10).

    50 ÷ 10 = 5

    So, there are 5 eggs in each 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?

Gemma 2B:

    Reasoning: To find the number of eggs in each nest, we need to divide the total number of eggs (2603) by the number of nests (10).

    2603 ÷ 10 = 260.3

    Since we can't have a fraction of an egg, we can round down to the nearest whole number. However, in this case, it's more reasonable to assume that the dinosaur lays a whole number of eggs in each nest. Therefore, we can divide 2603 by 10, which gives us:

    2603 ÷ 10 = 260 with a remainder of 3

    This means that 9 nests have 260 eggs each, and 1 nest has 259 eggs. But if we want a uniform distribution, we can say that each nest has 260 eggs.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many towels the family will donate each day, we need to divide the total number of towels (455) by the number of days (5).

    455 ÷ 5 = 91

    So, the family will donate 91 towels each 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?

Gemma 2B:

    Reasoning: To find out how many towels the family will donate each day, we need to divide the new total number of towels (4581) by the number of days (5).

    4581 ÷ 5 = 916.2

    Since we can't donate a fraction of a towel, we'll round down to the nearest whole number.

    916.2 ≈ 916

    So, the family will donate 916 towels each day.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of buses needed, we need to divide the total number of students by the number of students each bus can carry.

    Let's divide 1089 by 11:

    1089 ÷ 11 = 99 with a remainder of 0

    Since there is no remainder, we know that 11 is a factor of 1089, and we can conclude that the school needs exactly 99 buses to carry all 1089 students.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of buses needed, we need to divide the total number of students by the number of students each bus can carry.

    Let's divide 4570 by 11:

    4570 ÷ 11 = 415 with a remainder of 5

    Since there is a remainder of 5, we know that we need to round up to the next whole number to ensure that all students can be accommodated. Therefore, we need:

    415 + 1 = 416 buses

    ### 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?

Gemma 2B:

    Reasoning: To find out how many bed sheets are manufactured each day, we need to divide the total number of bed sheets produced (2520) by the number of days (28).

    2520 ÷ 28 = 90

    So, the manufacturer produces 90 bed sheets each 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?

Gemma 2B:

    Reasoning: To find out how many bed sheets are manufactured each day, we need to divide the total number of bed sheets produced (7208) by the number of days (28).

    7208 ÷ 28 = 257.43 (but since we can't produce a fraction of a bed sheet, we'll round down to the nearest whole number)

    257.43 ≈ 257

    So, the manufacturer produces 257 bed sheets each day.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of pounds of food in each bag, we need to divide the total amount of dog food (2900 pounds) by the number of bags (50).

    2900 ÷ 50 = 58

    So, each bag contains 58 pounds of dog food.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of pounds of food in each bag, we need to divide the new total amount of dog food (2301 pounds) by the same number of bags (50).

    2301 ÷ 50 = 46.02

    So, each bag now contains 46.02 pounds of dog food.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many mice the cat catches each month, we need to divide the total number of mice caught (2187) by the number of months (27).

    2187 ÷ 27 = 81

    So, the cat catches 81 mice each 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?

Gemma 2B:

    Reasoning: To find out how many mice the cat catches each month, we need to divide the total number of mice caught (2784) by the number of months (27).

    2784 ÷ 27 = 103

    So, the cat now catches 103 mice each month.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many grapes will be in each box, we need to divide the total number of grapes (1426) by the number of boxes (62).

    1426 ÷ 62 = 23

    So, there will be 23 grapes in each 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?

Gemma 2B:

    Reasoning: To find out how many grapes will be in each box, we need to divide the total number of grapes (4830) by the number of boxes (62).

    4830 ÷ 62 = 78

    So, there will be 78 grapes in each 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?

Gemma 2B:

    Reasoning: To find the number of starfish in each square foot of seafloor, we need to divide the total number of starfish (1152) by the total area of the seafloor (72 square feet).

    We can do this by dividing 1152 by 72:

    1152 ÷ 72 = 16

    ### 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?

Gemma 2B:

    Reasoning: To find the number of starfish in each square foot of this different seafloor area, we need to divide the total number of starfish (833) by the total area of the seafloor (72 square feet).

    We can do this by dividing 833 by 72:

    833 ÷ 72 = 11.54 (approximately)

    ### Answer: 11.54

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?

Gemma 2B:

    Reasoning: To find out how many toy trucks each stuffed animal gets, we need to divide the total number of toy trucks (36) by the number of stuffed animals (18).

    36 ÷ 18 = 2

    So, each stuffed animal gets 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?

Gemma 2B:

    Reasoning: To find out how many additional toy trucks each stuffed animal gets, we need to divide the new total number of toy trucks (2925) by the number of stuffed animals (18).

    2925 ÷ 18 = 162.5

    So, each stuffed animal gets an additional 162.5 toy trucks.

    ### Answer: 162.5

Expected answer: 325/2

Correct? Yes

🔗 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?

Gemma 2B:

    Reasoning: To find out how many blocks each officer is responsible for, we need to divide the total number of blocks (240) by the number of officers (30).

    240 ÷ 30 = 8

    So, each officer is responsible for 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?

Gemma 2B:

    Reasoning: To find out how many blocks each officer is responsible for, we need to divide the total number of blocks (3698) by the number of officers (30).

    3698 ÷ 30 = 123.27 (but since we can't have a fraction of a block, we'll round down to the nearest whole number)

    So, each officer would be responsible for 123 blocks.

    ### Answer: 123

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?

Gemma 2B:

    Reasoning: To find the number of unicorns in each meadow, we need to divide the total number of unicorns (7917) by the number of meadows (87).

    7917 ÷ 87 = 91

    So, there are 91 unicorns in each 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?

Gemma 2B:

    Reasoning: To find the number of unicorns in each meadow, we need to divide the total number of unicorns (2842) by the number of meadows (87).

    2842 ÷ 87 = 32.67 (but we can't have a fraction of a unicorn, so we'll round down to the nearest whole number)

    So, there would be 32 unicorns in each meadow.

    ### Answer: 32

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?

Gemma 2B:

    Reasoning: To find the length of the river within each city, we need to divide the total length of the river (902 km) by the number of cities (82).

    902 km ÷ 82 = 11 km

    So, there are 11 kilometers of the river's length within each city.

    ### 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?

Gemma 2B:

    Reasoning: To find the length of the river within each city, we need to divide the total length of the river (3767 km) by the number of cities (82).

    3767 km ÷ 82 = 46 km

    So, there would be 46 kilometers of the river's length within each city.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of sunglasses made in each run, we need to divide the total number of sunglasses (552) by the number of production runs (69).

    552 ÷ 69 = 8

    So, the manufacturer produces 8 sunglasses in each production run.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of sunglasses made in each run, we need to divide the total number of sunglasses (7712) by the number of production runs (69).

    7712 ÷ 69 = 112

    So, the manufacturer produces 112 sunglasses in each production run.

    ### 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?

Gemma 2B:

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

    Total weight gain = 2125 grams
    Number of days = 25

    Average daily weight gain = Total weight gain ÷ Number of days
    = 2125 ÷ 25
    = 85

    ### Answer: 85 grams

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?

Gemma 2B:

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

    Total weight gain = 392 grams
    Number of days = 25

    Average daily weight gain = Total weight gain ÷ Number of days
    = 392 ÷ 25
    = 15.68 (approximately)

    ### Answer: 15.68 grams (approximately)

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?

Gemma 2B:

    Reasoning: To find the daily production, we need to divide the total number of lamps produced (1073) by the number of days (37).

    1073 ÷ 37 = 29

    So, the factory manufactures 29 lamps daily.

    ### 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?

Gemma 2B:

    Reasoning: To find the daily production, we need to divide the total number of lamps produced (7668) by the number of days (37).

    7668 ÷ 37 = 207

    So, the factory would have manufactured 207 lamps daily.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of meters the tiger walked in one minute, we need to divide the total distance walked (2556 meters) by the total time taken (36 minutes).

    2556 meters ÷ 36 minutes = 2556 ÷ 36 = 71 meters per 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?

Gemma 2B:

    Reasoning: To find the number of meters the tiger walked in one minute, we need to divide the total distance walked (2301 meters) by the total time taken (36 minutes).

    2301 meters ÷ 36 minutes = 2301 ÷ 36 = 63.92 meters per minute ≈ 64 meters per minute (rounded to the nearest whole number)

    ### Answer: 64

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?

Gemma 2B:

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

    Cost of piano = $30
    Number of keys = 30

    Cost of each key = Total cost of piano ÷ Number of keys
    = $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?

Gemma 2B:

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

    Cost of piano = $6906
    Number of keys = 30

    Cost of each key = Total cost of piano ÷ Number of keys
    = $6906 ÷ 30
    = $230.2

    ### Answer: $230.2

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?

Gemma 2B:

    Reasoning: To find the number of seashells per meter, we need to divide the total number of seashells (1804) by the length of the stretch of sand (41 meters).

    1804 ÷ 41 = 44

    So, there are 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?

Gemma 2B:

    Reasoning: To find the number of seashells per meter, we need to divide the total number of seashells (9083) by the length of the stretch of sand (41 meters).

    9083 ÷ 41 = 221.5

    So, there are 221.5 seashells per meter.

    ### Answer: 221.5

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?

Gemma 2B:

    Reasoning: To find the number of minutes the kite is in the air per day, we need to divide the total number of minutes it was flown (1311) by the number of days it was flown (23).

    1311 ÷ 23 = 57

    ### 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?

Gemma 2B:

    Reasoning: To find the number of minutes the kite is in the air per day, we need to divide the total number of minutes it was flown (9051) by the number of days it was flown (23).

    9051 ÷ 23 = 393.96 (approximately)

    Since we can't have a fraction of a minute, we can round this value to the nearest whole number.

    ### Answer: 394

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?

Gemma 2B:

    Reasoning: To find the average amount of tomatoes produced by each plant, we need to divide the total amount of tomatoes harvested (2065 kg) by the number of plants (59).

    Let's do the division: 2065 ÷ 59 = 35

    So, each plant produced an average of 35 kilograms of tomatoes.

    ### 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?

Gemma 2B:

    Reasoning: To find the average amount of tomatoes produced by each plant, we need to divide the total amount of tomatoes harvested (1021 kg) by the number of plants (59).

    Let's do the division: 1021 ÷ 59 = 17.31 (approximately)

    So, each plant produced an average of approximately 17.31 kilograms of tomatoes.

    ### Answer: 17.31

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?

Gemma 2B:

    Reasoning: To find the average distance the mouse runs in one hour, we need to divide the total distance traveled by the number of hours.

    Total distance = 4928 meters
    Total hours = 77 hours

    Average distance per hour = Total distance ÷ Total hours
    = 4928 meters ÷ 77 hours
    = 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?

Gemma 2B:

    Reasoning: To find the average distance the mouse runs in one minute, we need to divide the total distance traveled by the number of minutes.

    Total distance = 4928 meters
    Total minutes = 3690 minutes

    Average distance per minute = Total distance ÷ Total minutes
    = 4928 meters ÷ 3690 minutes
    = 1.34 meters per minute (approximately)

    ### Answer: 1.34

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?

Gemma 2B:

    Reasoning: To find the height per foot of string, we need to divide the total height by the length of the string.

    Height per foot of string = Total height ÷ Length of string
    = 1800 feet ÷ 50 feet
    = 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?

Gemma 2B:

    Reasoning: To find the height per foot of string, we need to divide the total height by the length of the string.

    Height per foot of string = Total height ÷ Length of string
    = 5659 feet ÷ 50 feet
    = 113.18 feet per foot of string (approximately)

    ### 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?

Gemma 2B:

    Reasoning: To find out how many ounces of firewood are used per hour, we need to divide the total amount of firewood (2208 ounces) by the number of hours (96 hours).

    We can do this by dividing 2208 by 96:

    2208 ÷ 96 = 23

    So, 23 ounces of firewood are used per 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?

Gemma 2B:

    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).

    We can do this by dividing 600 by 50:

    600 ÷ 50 = 12

    So each friend receives 12 gifts.

    ### 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?

Gemma 2B:

    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).

    We can do this by dividing 4030 by 50:

    4030 ÷ 50 = 80.6

    Since we can't divide gifts into fractions, we can round down to the nearest whole number. Each friend receives 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?

Gemma 2B:

    Reasoning: To find the average number of logs burned per week, we need to divide the total number of logs burned (4264) by the number of weeks (52).

    Average logs burned per week = Total logs burned ÷ Number of weeks
    = 4264 ÷ 52
    = 82

    ### 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?

Gemma 2B:

    Reasoning: To find the average number of logs burned per hour, we need to divide the total number of logs burned (4264) by the total number of hours (3764).

    Average logs burned per hour = Total logs burned ÷ Total hours
    = 4264 ÷ 3764
    = 1.13 (approximately)

    ### Answer: 1.13

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?

Gemma 2B:

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

    Speed = Distance ÷ Time
    = 1278 miles ÷ 71 minutes
    = 18 miles per minute

    ### Answer: 18

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?

Gemma 2B:

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

    Speed = Distance ÷ Time
    = 1278 miles ÷ 218 minutes
    = 5.86 miles per minute (approximately)

    ### Answer: 5.86

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?

Gemma 2B:

    Reasoning: To find the daily distance traveled by the snail, we need to divide the total distance traveled (1610 cm) by the number of days (35).

    Daily distance = Total distance ÷ Number of days
    = 1610 cm ÷ 35
    = 46 cm

    ### Answer: 46 cm

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?

Gemma 2B:

    Reasoning: To find the daily distance traveled by the snail, we need to divide the total distance traveled (9521 cm) by the number of days (35).

    Daily distance = Total distance ÷ Number of days
    = 9521 cm ÷ 35
    = 271.74 cm (approximately)
    = 272 cm (rounded to the nearest whole number)

    ### Answer: 272 cm

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?

Gemma 2B:

    Reasoning: To find out how much sand each station will get, we need to divide the total amount of sand (960 pounds) by the number of stations (80).

    We can do this by dividing 960 by 80:

    960 ÷ 80 = 12

    So, each station will get 12 pounds of sand.

    ### 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?

Gemma 2B:

    Reasoning: To find out how much sand each station will get, we need to divide the new total amount of sand (1120 pounds) by the same number of stations (80).

    We can do this by dividing 1120 by 80:

    1120 ÷ 80 = 14

    So, each station will now get 14 pounds of sand.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of bracelets in each display case, we need to divide the total number of bracelets (2520) by the number of display cases (56).

    2520 ÷ 56 = 45

    So, there would be 45 bracelets in each 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?

Gemma 2B:

    Reasoning: We already know that each display case had 45 bracelets initially. Now, we need to add the new bracelets to each case.

    To find the number of new bracelets in each case, we divide the total number of new bracelets (5311) by the number of display cases (56):

    5311 ÷ 56 = 95

    So, there are 95 new bracelets in each case. To find the total number of bracelets in each case, we add the initial number of bracelets to the new ones:

    45 (initial) + 95 (new) = 140

    Now, there are 140 bracelets in each display case.

    ### Answer: 140

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?

Gemma 2B:

    Reasoning: To find the number of miles the tiger travels in one day, we need to divide the total distance traveled (4104 miles) by the number of days (54).

    4104 ÷ 54 = 76

    So, the tiger travels 76 miles in one 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?

Gemma 2B:

    Reasoning: To find the number of miles the tiger travels in one day, we need to divide the total distance traveled (2498 miles) by the number of days (54).

    2498 ÷ 54 = 46.25

    So, the tiger travels 46.25 miles in one day.

    ### Answer: 46.25

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?

Gemma 2B:

    Reasoning: To find the number of cookies in each batch, we need to divide the total number of cookies (2460) by the number of batches (60).

    2460 ÷ 60 = 41

    So, there are 41 cookies in each 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?

Gemma 2B:

    Reasoning: To find the number of cookies in each batch, we need to divide the total number of cookies (2460) by the correct number of batches (554).

    2460 ÷ 554 = 4.44 (approximately)

    So, there are approximately 4.44 cookies in each batch.

    ### Answer: 4.44

Expected answer: 1230/277

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: To find the number of items in each set, we need to divide the total number of items (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?

Gemma 2B:

    Reasoning: To find the number of items in each set, we need to divide the total number of items (2347) by the number of sets (6).

    2347 ÷ 6 = 391.17 (but we can't have a fraction of an item, so we'll round down to the nearest whole number)

    391.17 ≈ 391

    ### 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?

Gemma 2B:

    Reasoning: To find the number of bubbles produced per minute, we need to divide the total number of bubbles by the total time.

    Let's divide 888 bubbles by 24 minutes: 888 ÷ 24 = 37.

    So, the bubble machine produces 37 bubbles per 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?

Gemma 2B:

    Reasoning: To find the number of bubbles produced per minute, we need to divide the total number of bubbles by the total time.

    Let's divide 6080 bubbles by 24 minutes: 6080 ÷ 24 = 253.33 (but since we can't produce a fraction of a bubble, we'll round to the nearest whole number).

    So, the bubble machine produces 253 bubbles per minute now.

    ### 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?

Gemma 2B:

    Reasoning: The rainbow lasts for 680 seconds and cycles through its complete range of colors 8 times. To find the time it spends on each cycle, we can divide the total time by the number of cycles.

    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?

Gemma 2B:

    Reasoning: The rainbow lasts for 8713 seconds and cycles through its complete range of colors 8 times. To find the time it spends on each cycle, we can divide the total time by the number of cycles.

    8713 seconds ÷ 8 cycles = 1089.125 seconds per cycle

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

    1089.125 ≈ 1089

    ### Answer: 1089

Expected answer: 8713/8

Correct? No

🔗 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?

Gemma 2B:

    Reasoning: To find the number of balls in each bin, we need to divide the total number of balls (3864) by the number of bins (42).

    3864 ÷ 42 = 92

    So, there will be 92 balls in each recycling 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?

Gemma 2B:

    Reasoning: To find the number of balls in each bin, we need to divide the total number of balls (4934) by the number of bins (42).

    4934 ÷ 42 = 117.48

    Since we can't have a fraction of a ball, we'll round down to the nearest whole number. This means that each bin will have 117 balls, and there will be 10 balls left over that won't fit evenly into the bins.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many rings the metalsmith can create, we need to divide the total amount of silver (1610 grams) by the amount of silver used for each ring (70 grams).

    1610 ÷ 70 = 23

    So, the metalsmith can create 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?

Gemma 2B:

    Reasoning: To find out how many rings the metalsmith can create, we need to divide the new total amount of silver (5312 grams) by the amount of silver used for each ring (70 grams).

    5312 ÷ 70 = 75.88 (but since we can't make a fraction of a ring, we'll round down to the nearest whole number)

    So, the metalsmith can create 75 rings.

    ### Answer: 75

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?

Gemma 2B:

    Reasoning: To find the number of apples in each bag, we need to divide the total number of apples (88) by the number of bags (44).

    88 ÷ 44 = 2

    So, each bag contains 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?

Gemma 2B:

    Reasoning: To find the number of apples in each bag, we need to divide the total number of apples (8840) by the number of bags (44).

    8840 ÷ 44 = 200

    So, each bag would contain 200 apples.

    ### Answer: 200

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?

Gemma 2B:

    Reasoning: To find the number of stones in each part of the bracelet, we need to divide the total number of stones (87) by the number of identical parts (29).

    87 ÷ 29 = 3

    So, there are 3 stones in each part of the bracelet.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of stones in each part of the new bracelet, we need to divide the total number of stones (8017) by the number of identical parts (29).

    8017 ÷ 29 = 276

    So, there are 276 stones in each part of the new bracelet.

    ### 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?

Gemma 2B:

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

    Let's divide 1320 bottles by 88 hours:

    1320 ÷ 88 = 15

    So, the company needs to fill 15 bottles per hour to meet its target.

    ### 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?

Gemma 2B:

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

    Let's divide 8607 bottles by 88 hours:

    8607 ÷ 88 = 98

    So, the company needs to fill 98 bottles per hour to meet its new target.

    ### Answer: 98

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?

Gemma 2B:

    Reasoning: To find the number of tulips Annapurna will plant in each row, we need to divide the total number of tulips (3520) by the number of rows (40).

    3520 ÷ 40 = 88

    So, Annapurna will plant 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?

Gemma 2B:

    Reasoning: To find the number of tulips Anna will plant in each space, we need to divide the total number of tulips (3520) by the number of spaces (3052).

    However, we can't divide 3520 tulips into 3052 spaces evenly, since 3520 is greater than 3052. This means Anna won't be able to plant all 3520 tulips in the 3052 spaces.

    Let's find out how many tulips she can plant in each space. We can do this by dividing 3052 (the number of spaces) into 3520 (the number of tulips). This will give us the maximum number of tulips she can plant in each space.

    3520 ÷ 3052 = 1 with a remainder of 466

    This means Anna can plant 1 tulip in each space, and she will have 466 tulips left over that she won't be able to plant.

    ### Answer: 1

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?

Gemma 2B:

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

    3306 ÷ 58 = 57

    So, each doll got 57 pieces of clothing.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many pieces of clothing each doll got this time, we need to divide the additional number of doll clothes (9115) by the number of dolls (58).

    9115 ÷ 58 = 157

    So, each doll got 157 additional pieces of clothing.

    ### 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?

Gemma 2B:

    Reasoning: To find the average amount of food consumed per day, we need to divide the total amount of food consumed (1881 pounds) by the number of days (19).

    1881 ÷ 19 = 99

    So, the bear consumes an average of 99 pounds of food per day during the 19-day hibernation period.

    ### 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?

Gemma 2B:

    Reasoning: To find the average amount of food consumed per day, we need to divide the total amount of food consumed (7207 pounds) by the number of days (19).

    7207 ÷ 19 = 379

    So, the bear would consume an average of 379 pounds of food per day during the 19-day hibernation period.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of miles the plane flew per hour, we need to divide the total number of miles flown by the total number of hours flown.

    Miles per hour = Total miles flown ÷ Total hours flown
    = 1720 miles ÷ 86 hours
    = 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?

Gemma 2B:

    Reasoning: To find the number of miles the plane flew per hour, we need to divide the total number of miles flown by the total number of hours flown.

    Miles per hour = Total miles flown ÷ Total hours flown
    = 1990 miles ÷ 86 hours
    = 23.14 miles per hour (approximately)

    ### Answer: 23.14

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?

Gemma 2B:

    Reasoning: To find the number of pencils produced each hour, we need to divide the total number of pencils produced (4950) by the number of hours (90).

    4950 ÷ 90 = 55

    So, the factory produced 55 pencils each 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?

Gemma 2B:

    Reasoning: To find the number of pencils produced each hour, we need to divide the total number of pencils produced (3487) by the number of hours (90).

    3487 ÷ 90 = 38.74 (approximately)

    So, the factory produced approximately 38.74 pencils each hour.

    ### Answer: 38.74

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?

Gemma 2B:

    Reasoning: To find the number of tomatoes produced each week, we need to divide the total number of tomatoes (780) by the number of weeks (52).

    780 ÷ 52 = 15

    So, the garden produces 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?

Gemma 2B:

    Reasoning: To find the number of tomatoes produced each week, we need to divide the total number of tomatoes (2502) by the number of weeks (52).

    2502 ÷ 52 = 48.12 (but since we can't have a fraction of a tomato, we'll round down to 48)

    So, the garden produces 48 tomatoes each week now.

    ### 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?

Gemma 2B:

    Reasoning: To find the distance covered by the tiger each day, we need to divide the total distance traveled (1679 km) by the number of days (73).

    1679 km ÷ 73 days = 23 km/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?

Gemma 2B:

    Reasoning: To find the distance covered by the tiger each day, we need to divide the new total distance traveled (7008 km) by the same number of days (73).

    7008 km ÷ 73 days = 96 km/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?

Gemma 2B:

    Reasoning: To find out how many ice skates each store will receive, we need to divide the total number of ice skates (2280) by the number of store locations (38).

    2280 ÷ 38 = 60

    Each store will receive 60 ice skates.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many ice skates each store will receive, we need to divide the new total number of ice skates (3887) by the number of store locations (38).

    3887 ÷ 38 = 102.29 (but since we can't divide ice skates into fractions, we'll round down to the nearest whole number)

    3887 ÷ 38 = 102

    Each store will receive 102 ice skates.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many pages I need to read each day, I'll divide the total number of pages (4606) by the number of days I want to read it over (47).

    4606 ÷ 47 = 98

    ### 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?

Gemma 2B:

    Reasoning: To find out how many pages I need to read each day, I'll divide the new total number of pages (5982) by the same number of days I want to read it over (47).

    5982 ÷ 47 = 127

    ### 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?

Gemma 2B:

    Reasoning: To find out how many skirts the company can make, we need to divide the total amount of fabric (3234 centimeters) by the amount of fabric used to make each skirt (33 centimeters).

    3234 ÷ 33 = 98

    So, the company can make 98 skirts in total.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many skirts the company can make with the new design, we need to divide the total amount of fabric (3234 centimeters) by the new amount of fabric used to make each skirt (158 centimeters).

    3234 ÷ 158 = 20.46 (but we can't make a fraction of a skirt, so we round down to the nearest whole number)

    So, the company can 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?

Gemma 2B:

    Reasoning: To find the number of minutes the doctor spends each day, we need to divide the total number of minutes (4424) by the number of days (56).

    4424 ÷ 56 = 79

    So, the doctor spends 79 minutes each day talking with patients.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of minutes the doctor spends each day, we need to divide the total number of minutes (1047) by the number of days (56).

    1047 ÷ 56 = 18.69 (approximately)

    So, the doctor spends approximately 19 minutes each day talking with patients.

    ### Answer: 19

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?

Gemma 2B:

    Reasoning: This question is a bit tricky, but it's actually asking for the number of marshmallows in each bag, which is already given as 55. The question is trying to distract us with the total number of marshmallows Sam has.

    Since each bag contains 55 marshmallows, we don't need to do any calculation with the total number of marshmallows (3025).

    ### 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?

Gemma 2B:

    Reasoning: In this case, we need to divide the total number of marshmallows (3025) by the number of bags (2011) to find out how many marshmallows will be in each bag.

    To do this, we can perform the division: 3025 ÷ 2011 = 1 with a remainder of 1014. Since we can't have a fraction of a marshmallow in each bag, we can ignore the remainder for this problem.

    So, there will be 1 marshmallow in each bag.

    ### 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?

Gemma 2B:

    Reasoning: Let's say each bracelet has x beads. Since the jeweler makes 72 bracelets, the total number of beads used is 72x. We know that the total number of beads is 1944, so we can set up the equation:

    72x = 1944

    To find the value of x, we can divide both sides of the equation by 72:

    x = 1944 ÷ 72
    x = 27

    So, each bracelet has 27 beads.

    ### 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?

Gemma 2B:

    Reasoning: Let's say each bracelet has x beads. Since the jeweler makes 495 bracelets, the total number of beads used is 495x. We know that the total number of beads is 1944, so we can set up the equation:

    495x = 1944

    To find the value of x, we can divide both sides of the equation by 495:

    x = 1944 ÷ 495
    x = 3.92 (but since we can't have a fraction of a bead, we'll round down to 3)

    So, each bracelet would have 3 beads.

    ### Answer: 3

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?

Gemma 2B:

    Reasoning: To find the number of carrots in each bunch, we need to divide the total number of carrots (272) by the number of bunches (17).

    272 ÷ 17 = 16

    So, there will be 16 carrots in each 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?

Gemma 2B:

    Reasoning: To find the number of carrots in each bunch, we need to divide the total number of carrots (3176) by the number of bunches (17).

    3176 ÷ 17 = 186.82 (but we can't have a fraction of a carrot, so we round down to the nearest whole number)

    3176 ÷ 17 = 186

    So, there will be 186 carrots in each bunch.

    ### 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?

Gemma 2B:

    Reasoning: To find the average amount of snow that fell each day, we need to divide the total amount of snow (1740 inches) by the number of days (87).

    1740 ÷ 87 = 20

    So, on average, 20 inches of snow fell each 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?

Gemma 2B:

    Reasoning: The carpenter has 80 inches of wood, and each door requires 80 inches. To find out how many doors he can make, we can divide the total amount of wood by the amount required for each door.

    80 inches (total wood) ÷ 80 inches (per door) = 1 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?

Gemma 2B:

    Reasoning: The carpenter now has 4322 inches of wood, and each door requires 80 inches. To find out how many doors he can make, we can divide the total amount of wood by the amount required for each door.

    4322 inches (total wood) ÷ 80 inches (per door) = 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?

Gemma 2B:

    Reasoning: To find the average number of patients the doctor attended to each year, we need to divide the total number of patients (2691) by the number of years she was in active service (39).

    Average patients per year = Total patients ÷ Number of years
    = 2691 ÷ 39
    = 69

    ### 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?

Gemma 2B:

    Reasoning: To find the average number of patients the doctor attended to each year, we need to divide the total number of patients (9447) by the number of years she was in active service (39).

    Average patients per year = Total patients ÷ Number of years
    = 9447 ÷ 39
    = 242

    ### 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?

Gemma 2B:

    Reasoning: To find the number of cucumbers per plant, we need to divide the total number of cucumbers (936) by the number of plants (52).

    936 ÷ 52 = 18

    So, the farmer got 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?

Gemma 2B:

    Reasoning: We already know that the farmer got 18 cucumbers from each plant in the previous season. Since the problem states that he harvested the same number of cucumbers from each plant as in the previous season, we can conclude that he still gets 18 cucumbers from each 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?

Gemma 2B:

    Reasoning: To find out how many balloons each party gets, we need to divide the total number of balloons (2470) by the number of parties (26).

    2470 ÷ 26 = 95

    So, each party gets 95 balloons.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many balloons each party gets, we need to divide the new total number of balloons (8421) by the number of parties (26).

    8421 ÷ 26 = 323.5

    Since we can't divide balloons into fractions, we'll round down to the nearest whole number. Each party gets 323 balloons.

    ### Answer: 323

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?

Gemma 2B:

    Reasoning: To find out how much juice each bottle will contain, we need to divide the total amount of juice (858 milliliters) by the number of bottles (13).

    858 ÷ 13 = 66

    So, each bottle will contain 66 milliliters of juice.

    ### Answer: 66

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?

Gemma 2B:

    Reasoning: To find out how much juice each bottle will contain, we need to divide the total amount of juice (1192 milliliters) by the number of bottles (13).

    1192 ÷ 13 = 91.69 (approximately)

    So, each bottle will contain approximately 91.69 milliliters of juice.

    ### Answer: 91.69

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?

Gemma 2B:

    Reasoning: To find the distance traveled per second, we need to divide the total distance traveled (1600 feet) by the time taken (64 seconds).

    1600 feet ÷ 64 seconds = 1600 ÷ 64 = 25

    So, the scooter travels 25 feet in each 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?

Gemma 2B:

    Reasoning: To find the distance traveled per second, we need to divide the total distance traveled (3984 feet) by the time taken (64 seconds).

    3984 feet ÷ 64 seconds = 3984 ÷ 64 = 62.25

    So, the scooter travels 62.25 feet in each 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?

Gemma 2B:

    Reasoning: To find out how many lamps each store will receive, we need to divide the total number of lamps (2907) by the number of stores (51).

    2907 ÷ 51 = 57

    So, each store will receive 57 lamps.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many lamps each store will receive, we need to divide the total number of lamps (4753) by the number of stores (51).

    4753 ÷ 51 = 93

    So, each store will receive 93 lamps.

    ### 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?

Gemma 2B:

    Reasoning: The clock ticks 756 times in 18 minutes. To find out how many times it ticks in one minute, we can divide 756 by 18.

    756 ÷ 18 = 42

    So, the clock ticks 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?

Gemma 2B:

    Reasoning: The clock ticks 3788 times in 18 minutes. To find out how many times it ticks in one minute, we can divide 3788 by 18.

    3788 ÷ 18 = 210.44 (approximately)

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

    210.44 ≈ 210

    So, the clock ticks approximately 210 times in one minute.

    ### 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?

Gemma 2B:

    Reasoning: Let's say the number of feathers in each pillow is x. Since the factory is able to fill 15 pillows, the total number of feathers used is 15x. We know that the total number of feathers available is 930, so we can set up the equation:

    15x = 930

    To find the value of x, we can divide both sides of the equation by 15:

    x = 930 ÷ 15
    x = 62

    So, there are 62 feathers in each 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?

Gemma 2B:

    Reasoning: Let's say the number of feathers in each pillow is x. Since the factory is able to fill 15 pillows, the total number of feathers used is 15x. We know that the total number of feathers available is 5881, so we can set up the equation:

    15x = 5881

    To find the value of x, we can divide both sides of the equation by 15:

    x = 5881 ÷ 15
    x = 392.07

    Since we can't have a fraction of a feather, we'll round down to the nearest whole number. So, there are 392 feathers in each pillow.

    ### 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?

Gemma 2B:

    Reasoning: To find out how much each person has to contribute, we need to divide the total cost of the binoculars ($702) by the number of people in the group (54).

    $702 ÷ 54 = $13

    So each person has to contribute $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?

Gemma 2B:

    Reasoning: To find out how much each person has to pay now, we need to divide the total cost of the new binoculars ($446) by the number of people in the group (54).

    $446 ÷ 54 = $8.26

    So each person has to pay $8.26 now.

    ### 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?

Gemma 2B:

    Reasoning: To find the length of each piece, we need to divide the total length of the rope (510 cm) by the number of pieces (30).

    510 cm ÷ 30 = 17 cm

    So, each piece of the rope is 17 cm long.

    ### 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?

Gemma 2B:

    Reasoning: To find the length of each piece, we need to divide the total length of the rope (9650 cm) by the number of pieces (30).

    9650 cm ÷ 30 = 321.67 cm

    So, each piece of the rope would be approximately 321.67 cm long.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of coins in each chest, we need to divide the total number of coins (6097) by the number of chests (91).

    6097 ÷ 91 = 67

    So, there are 67 coins in each 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?

Gemma 2B:

    Reasoning: To find the number of coins in each chest, we need to divide the total number of coins (6097) by the number of chests (2910).

    6097 ÷ 2910 = 2.1

    So, there are 2.1 coins in each chest.

    ### Answer: 2.1

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?

Gemma 2B:

    Reasoning: To find out how many coins each pirate receives, we need to divide the total number of coins (2425) by the number of pirates (97).

    We can do this by performing the division: 2425 ÷ 97 = 25

    So, each pirate receives 25 gold coins.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many coins each pirate receives, we need to divide the total number of coins (5005) by the number of pirates (97).

    We can do this by performing the division: 5005 ÷ 97 = 51.5

    Since we can't divide coins into fractions, we'll round down to the nearest whole number. Each pirate would receive 51 gold 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?

Gemma 2B:

    Reasoning: To find out how many liters of fuel the boat consumes in one hour, we need to divide the total amount of fuel consumed (204 liters) by the total number of hours (51 hours).

    Let's do the division: 204 ÷ 51 = 4

    So, the boat consumes 4 liters of fuel in one 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?

Gemma 2B:

    Reasoning: Since the boat consumes 4 liters of fuel per hour (as we found out in the previous problem), and it has 100 liters of fuel, we can find out how many hours it can travel with the available fuel.

    Let's divide the available fuel (100 liters) by the fuel consumption per hour (4 liters): 100 ÷ 4 = 25 hours

    Since the journey is 51 hours, the boat will not have enough fuel to complete the journey. However, the fuel consumption per hour remains the same, which is 4 liters per hour.

    ### 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?

Gemma 2B:

    Reasoning: Let's set up a proportion to relate the distance on the map to the actual distance. Let x be the number of kilometers that each centimeter represents on the map.

    We can set up the proportion as follows:

    96 cm / 8448 km = 1 cm / x km

    To solve for x, we can cross-multiply:

    96x = 8448

    Divide both sides by 96:

    x = 8448 / 96
    x = 88

    So, each centimeter on the map represents 88 kilometers.
    ### 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?

Gemma 2B:

    Reasoning: Let's set up a proportion to relate the distance on the map to the actual distance. Let x be the number of kilometers that each centimeter represents on the map.

    We can set up the proportion as follows:

    4759 cm / 8448 km = 1 cm / x km

    To solve for x, we can cross-multiply:

    4759x = 8448

    Divide both sides by 4759:

    x = 8448 / 4759
    x = 1.77 (approximately)

    So, each centimeter on the map represents approximately 1.77 kilometers.
    ### Answer: 1.77

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?

Gemma 2B:

    Reasoning: To find the distance traveled per hour, we need to divide the total distance traveled (584 kms) by the total time taken (73 hours).

    Distance per hour = Total distance ÷ Total time
    = 584 kms ÷ 73 hours
    = 8 kms/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?

Gemma 2B:

    Reasoning: To find the distance traveled per hour, we need to divide the total distance traveled (584 kms) by the total time taken (71 hours).

    Distance per hour = Total distance ÷ Total time
    = 584 kms ÷ 71 hours
    = 8.23 kms/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?

Gemma 2B:

    Reasoning: To find the number of pages each student needs to read daily, we need to divide the total number of pages (3612) by the number of days (86).

    3612 ÷ 86 = 42

    So, each student needs to read 42 pages daily.

    ### 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?

Gemma 2B:

    Reasoning: To find the new number of pages each student needs to read daily, we need to divide the total number of pages (3612) by the new number of days (328).

    3612 ÷ 328 = 11

    So, each student needs to read 11 pages daily.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many hats the hat maker produces weekly, we need to divide the total number of hats made (1083) by the number of weeks (57).

    1083 ÷ 57 = 19

    So, the hat maker produces 19 hats every 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?

Gemma 2B:

    Reasoning: Since the hat maker maintains the same pace of production every week as the previous year, we know that the hat maker produces 19 hats weekly (as calculated in the previous problem).

    To verify this, we can divide the total number of hats made (7678) by the number of weeks (57):

    7678 ÷ 57 = 19

    So, the hat maker still produces 19 hats every week.

    ### Answer: 19

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?

Gemma 2B:

    Reasoning: To find the number of pairs of socks produced daily, we need to divide the total number of pairs produced (4218) by the number of days (74).

    4218 ÷ 74 = 57

    So, the manufacturer produced 57 pairs of socks daily.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of pairs of socks produced daily, we need to divide the total number of pairs produced (4055) by the number of days (74).

    4055 ÷ 74 = 54.79 (approximately)

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

    ### Answer: 54

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?

Gemma 2B:

    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 used in each bracelet.

    3657 ÷ 69 = 53

    This means that 53 full bracelets can be made with 3657 pearls.

    ### 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?

Gemma 2B:

    Reasoning: To find the distance traveled per minute, we need to divide the total distance traveled (4000 meters) by the total time taken (80 minutes).

    Distance per minute = Total distance ÷ Total time
    = 4000 meters ÷ 80 minutes
    = 50 meters per 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?

Gemma 2B:

    Reasoning: To find the distance traveled per minute, we need to divide the new total distance traveled (5391 meters) by the same total time taken (80 minutes).

    Distance per minute = Total distance ÷ Total time
    = 5391 meters ÷ 80 minutes
    = 67.39 meters per minute (approximately)

    ### Answer: 67.39

Expected answer: 5391/80

Correct? No

🔗 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?

Gemma 2B:

    Reasoning: The factory makes 364 toys in a week, and it operates for 4 days a week. To find out how many toys are made per day, we can divide the total number of toys made in a week by the number of days the factory operates.

    364 toys/week ÷ 4 days/week = 364 ÷ 4 = 91 toys/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?

Gemma 2B:

    Reasoning: The factory now makes 571 toys in a week, and it still operates for 4 days a week. To find out how many toys are made per day, we can divide the total number of toys made in a week by the number of days the factory operates.

    571 toys/week ÷ 4 days/week = 571 ÷ 4 = 142.75 toys/day

    Since we can't make a fraction of a toy, we can round up or down to the nearest whole number, depending on the context. In this case, let's round to 143 toys/day.

    ### Answer: 143

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?

Gemma 2B:

    Reasoning: To find the length of each section, we need to divide the total length of the slide (4950 mm) by the number of sections (66).

    4950 mm ÷ 66 = 75 mm

    So, each section is 75 mm long.

    ### Answer: 75 mm

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?

Gemma 2B:

    Reasoning: To find the length of each section, we need to divide the total length of the slide (9823 mm) by the number of sections (66).

    9823 mm ÷ 66 = 149 mm

    So, each section is 149 mm long.

    ### Answer: 149 mm

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?

Gemma 2B:

    Reasoning: To find the number of gold coins in each chest, we need to divide the total number of gold coins (726) by the number of chests (66).

    726 ÷ 66 = 11

    So, there are 11 gold coins in each 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?

Gemma 2B:

    Reasoning: To find the number of gold coins in each chest, we need to divide the total number of gold coins (3453) by the number of chests (66).

    3453 ÷ 66 = 52

    So, there would be 52 gold coins in each chest now.

    ### 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?

Gemma 2B:

    Reasoning: Let's say there are x starfish in the group. Since each starfish has 9 limbs, the total number of limbs is 9x. We know that the total number of limbs is 702, so we can set up the equation 9x = 702. To solve for x, we can divide both sides of the equation by 9, which gives us x = 702/9 = 78.

    ### 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?

Gemma 2B:

    Reasoning: Let's say there are x starfish in the group. Since each starfish has 9 limbs, the total number of limbs is 9x. We know that the total number of limbs is 278, so we can set up the equation 9x = 278. To solve for x, we can divide both sides of the equation by 9, which gives us x = 278/9 = 31.

    ### Answer: 31

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?

Gemma 2B:

    Reasoning: To find the size of each section, we need to divide the total area of the park (1927 acres) by the number of sections (47).

    1927 ÷ 47 = 41

    So, each section is 41 acres in size.

    ### 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?

Gemma 2B:

    Reasoning: To find the size of each new section, we need to divide the total area of the park (1927 acres) by the new number of sections (411).

    1927 ÷ 411 = 4.69 (approximately)

    So, each new section is approximately 4.69 acres in size.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of trucks each branch has, we need to divide the total number of trucks (744) by the number of branches (24).

    744 ÷ 24 = 31

    So, each branch has 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?

Gemma 2B:

    Reasoning: To find the number of trucks each branch has, we need to divide the new total number of trucks (6028) by the number of branches (24).

    6028 ÷ 24 = 251

    So, each branch now has 251 trucks.

    ### 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?

Gemma 2B:

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

    We can do this by performing the division: 2820 ÷ 60 = 47

    This means that each box will contain 47 oranges.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of gold coins in each bag, we need to divide the total number of coins (7280) by the number of bags (91).

    7280 ÷ 91 = 80

    So, there are 80 gold coins in each 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?

Gemma 2B:

    Reasoning: To find the number of gold coins in each bag, we need to divide the total number of coins (5857) by the number of bags (91).

    5857 ÷ 91 = 64

    So, there are 64 gold coins in each 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?

Gemma 2B:

    Reasoning: To find the number of soap bars produced by each mold, we need to divide the total number of soap bars produced (1980) by the number of molds used (20).

    1980 ÷ 20 = 99

    So, each mold produced 99 soap bars.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of soap bars produced by each mold, we need to divide the total number of soap bars produced (9741) by the number of molds used (20).

    9741 ÷ 20 = 487.05

    Since we can't have a fraction of a soap bar, we can round down to the nearest whole number. So, each mold produced 487 soap bars.

    ### 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?

Gemma 2B:

    Reasoning: To find the height of each layer, we need to divide the total height of the mountain (1457 meters) by the number of layers (47).

    1457 ÷ 47 = 31

    So, each layer of rock is 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?

Gemma 2B:

    Reasoning: To find the height of each layer, we need to divide the total height of the mountain (8729 meters) by the number of layers (47).

    8729 ÷ 47 = 185.5

    So, each layer of rock would be 185.5 meters tall.

    ### Answer: 185.5

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?

Gemma 2B:

    Reasoning: To find the length of each piece of rope, we need to divide the total length of the rope (4230 meters) by the number of pieces (90).

    We can do this by performing the division: 4230 ÷ 90 = 47

    So, each piece of rope is 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?

Gemma 2B:

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

    Let's divide 2508 trees by 38 hectares:

    2508 ÷ 38 = 66

    So, there are 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?

Gemma 2B:

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

    Let's divide 2508 animals by 1417 hectares:

    2508 ÷ 1417 = 1.77 (approximately)

    So, we would expect to encounter approximately 1.77 animals per hectare.

    ### 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?

Gemma 2B:

    Reasoning: To find the distance the backpacker walks each day, we need to divide the total distance of the thru-hike (4526 miles) by the number of days (62).

    4526 ÷ 62 = 73

    ### 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?

Gemma 2B:

    Reasoning: To find the new distance the backpacker plans to walk each day, we need to divide the total distance of the new journey (2714 miles) by the number of days (62).

    2714 ÷ 62 = 43.77 (approximately)

    Since we can't walk a fraction of a mile, we can round this value to the nearest whole number.

    ### Answer: 44

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?

Gemma 2B:

    Reasoning: To find the length of each pulse, we need to divide the total time (925 seconds) by the number of pulses (37).

    925 seconds ÷ 37 pulses = 925 ÷ 37 = 25 seconds per 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?

Gemma 2B:

    Reasoning: To find the length of each pulse, we need to divide the total time (9094 seconds) by the number of pulses (37).

    9094 seconds ÷ 37 pulses = 9094 ÷ 37 = 245.5 seconds per pulse

    ### Answer: 245.5 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?

Gemma 2B:

    Reasoning: To find out how many jewels the dragon collected each year, we need to divide the total number of jewels (3010) by the number of years (43).

    3010 ÷ 43 = 70

    So, the dragon collected 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?

Gemma 2B:

    Reasoning: To find out how many jewels the dragon collected each year, we need to divide the total number of jewels (6402) by the number of years (43).

    6402 ÷ 43 = 148.86 (approximately)

    Since we can't collect a fraction of a jewel, we can round down to the nearest whole number. However, since the problem states the dragon collected at an even pace, we can assume that the dragon collected the same number of jewels each year. Therefore, we can round to the nearest whole number.

    6402 ÷ 43 ≈ 149

    So, the dragon collected approximately 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?

Gemma 2B:

    Reasoning: To find the number of signals sent daily, we need to divide the total number of signals (6699) by the number of days (87).

    6699 ÷ 87 = 77

    So, the alien spaceship sends 77 signals daily.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of signals sent daily, we need to divide the total number of signals (6699) by the number of days (2715).

    6699 ÷ 2715 = 2.47 (approximately)

    So, the alien spaceship sends approximately 2.47 signals daily.

    ### Answer: 2.47

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?

Gemma 2B:

    Reasoning: To find out how much water the tank provides per day, we need to divide the total amount of water (2016 liters) by the number of days it is designed to last (28 days).

    2016 liters ÷ 28 days = 2016 ÷ 28 = 72 liters per day

    ### Answer: 72 liters per day.

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?

Gemma 2B:

    Reasoning: The duration of usage remains the same, which is 28 days. To find out how much water the tank provides per day, we need to divide the new total amount of water (8329 liters) by the number of days it is designed to last (28 days).

    8329 liters ÷ 28 days = 8329 ÷ 28 = 297.82 liters per day (approximately)

    ### Answer: 297.82 liters per day.

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?

Gemma 2B:

    Reasoning: To find out how many stuffed animals each store received, we need to divide the total number of stuffed animals (4686) by the number of stores (66).

    4686 ÷ 66 = 71

    So, each store received 71 stuffed animals.

    ### 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?

Gemma 2B:

    Reasoning: To find out how many stuffed animals each store would receive, we need to divide the total number of stuffed animals (4686) by the new number of stores (1023).

    4686 ÷ 1023 = 4.58 (but since we can't divide stuffed animals into fractions, we'll round down to the nearest whole number)

    So, each store would receive 4 stuffed animals.

    ### Answer: 4

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?

Gemma 2B:

    Reasoning: To find the number of boxes needed, we need to divide the total number of toy cars (910) by the number of toy cars per box (10).

    910 ÷ 10 = 91

    So, the company will need 91 boxes to pack all the toy cars.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of boxes needed, we need to divide the total number of toy cars (910) by the number of toy cars per box (538).

    Since 910 is less than 538, we know that only one box is needed. To find out how many cars will be left over, we can subtract 538 from 910:

    910 - 538 = 372

    So, the company will need 1 box, and 372 cars will be left over.

    ### Answer: 1

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?

Gemma 2B:

    Reasoning: To find the number of bottles in each box, we need to divide the total number of bottles (1333) by the number of boxes (43).

    1333 ÷ 43 = 31

    So, there are 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?

Gemma 2B:

    Reasoning: To find the number of bottles in each box, we need to divide the total number of bottles (423) by the number of boxes (43).

    423 ÷ 43 = 9.83 (but we can't have a fraction of a bottle, so we round down to the nearest whole number)

    So, there would be 9 bottles of juice in each box.

    ### 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?

Gemma 2B:

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

    741 ÷ 13 = 57

    So, each shelter received 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?

Gemma 2B:

    Reasoning: We already know that each shelter received 57 gifts initially. Now, we need to divide the additional gifts (3697) by the number of shelters (13) to find out how many more gifts each shelter received.

    3697 ÷ 13 = 284

    So, each shelter received 284 more gifts. To find the total number of gifts each shelter received, we add the initial number of gifts to the additional gifts:

    57 + 284 = 341

    ### Answer: 341

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?

Gemma 2B:

    Reasoning: The child uses the same amount of snow to make each of 16 smaller snowballs, so the volume of the giant snowball is divided equally among the 16 smaller snowballs.

    To find the volume of each smaller snowball, we can divide the volume of the giant snowball (528 cubic feet) by 16:

    528 ÷ 16 = 33

    ### 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?

Gemma 2B:

    Reasoning: The child uses the same amount of snow to make each of 16 smaller snowballs, so the volume of the giant snowball is divided equally among the 16 smaller snowballs.

    To find the volume of each smaller snowball, we can divide the volume of the giant snowball (3327 cubic feet) by 16:

    3327 ÷ 16 = 208.0625

    Since we can't have a fraction of a cubic foot, we can round the answer to the nearest whole number:

    208.0625 ≈ 208

    ### Answer: 208

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?

Gemma 2B:

    Reasoning: To find the number of waves, we need to divide the total length of the slide (728 inches) by the distance between each wave (56 inches).

    728 ÷ 56 = 13

    Since the waves are evenly spaced, we can conclude that there are 13 waves on the slide.

    ### 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?

Gemma 2B:

    Reasoning: To find the number of waves, we need to divide the new total length of the slide (3769 inches) by the distance between each wave (56 inches).

    3769 ÷ 56 = 67.27 (but we can't have a fraction of a wave, so we round down to the nearest whole number)

    Since the waves are evenly spaced, we can conclude that there will be 67 waves on the redesigned slide.

    ### Answer: 67

Expected answer: 3769/56

Correct? No