🔗 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The school bus drives 2496 miles over 52 weeks
    * To find the average miles driven per week, we divide the total miles by the number of weeks:
    * 2496 miles / 52 weeks = <<2496/52=48>>48 miles per week

    ### Answer: 48 miles

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The school bus drove 6100 miles over 52 weeks
    * To find the average miles driven per week, we divide the total miles by the number of weeks:
    * 6100 miles / 52 weeks = <<6100/52=117.31>>117.31 miles per week

    ### Answer: 117.31 miles

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The astronaut has a 90-day mission in space
    * He consumes a total of 3870 liters of oxygen during the mission
    * His oxygen consumption is the same every day

    To find his daily oxygen consumption, we need to divide the total oxygen consumed by the number of days in the mission.

    Total oxygen consumed: 3870 liters
    Number of days in the mission: 90 days

    Daily oxygen consumption = Total oxygen consumed / Number of days
    Daily oxygen consumption = 3870 liters / 90 days
    Daily oxygen consumption = <<3870 / 90 = 43>> 43 liters per day

    ### Answer: 43 liters per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The astronaut's mission was extended to 124 days
    * He still used a total of 3870 liters of oxygen
    * We need to find his daily oxygen consumption

    To find his daily oxygen consumption, we need to divide the total oxygen consumed by the number of days in the extended mission.

    Total oxygen consumed: 3870 liters
    Number of days in the extended mission: 124 days

    Daily oxygen consumption = Total oxygen consumed / Number of days
    Daily oxygen consumption = 3870 liters / 124 days
    Daily oxygen consumption = <<3870 / 124 = 31.21>> 31.21 liters per day

    ### Answer: 31.21 liters per 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The dinosaur lays 50 eggs
    * The eggs are evenly distributed in 10 nests
    * To find the number of eggs in each nest, we need to divide the total number of eggs by the number of nests

    Calculation:
    * 50 eggs / 10 nests = 5 eggs per nest

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The dinosaur lays 2603 eggs
    * The eggs are evenly distributed in 10 nests
    * To find the number of eggs in each nest, we need to divide the total number of eggs by the number of nests

    Calculation:
    * 2603 eggs / 10 nests = 260.3 eggs per nest

    Since we can't have a fractional number of eggs in each nest, we need to round down to the nearest whole number.

    ### Answer: 260

Expected answer: 2603/10

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The family has 455 towels to donate
    * They plan to donate an equal amount of towels each day for 5 days
    * To find the number of towels they will donate each day, we need to divide the total number of towels (455) by the number of days (5)

    Calculation:
    * 455 towels / 5 days = 91 towels per day

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The family has 4581 towels to donate
    * They plan to donate an equal amount of towels each day for 5 days
    * To find the number of towels they will donate each day, we need to divide the total number of towels (4581) by the number of days (5)

    Calculation:
    * 4581 towels / 5 days = 916.2 towels per day

    Since we can't donate a fractional towel, we need to round down to the nearest whole number.

    ### Answer: 916

Expected answer: 4581/5

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The school has 1089 students
    * Each bus can carry exactly 11 students
    * We need to find how many buses the school needs to hire

    To do this, we need to divide the total number of students by the number of students each bus can carry.

    1089 students / 11 students per bus = 99 buses

    However, we need to round up to the nearest whole number, since we can't have a fraction of a bus.

    Therefore, the school needs to hire 100 buses for the field trip.

    ### Answer: 100

Expected answer: 99

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The manufacturer produces 2520 bed sheets in 28 days
    * They produce the same number of sheets every day

    To find the number of bed sheets manufactured each day, we need to divide the total number of sheets by the number of days:
    * 2520 bed sheets / 28 days = <<2520/28=90>>90 bed sheets per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The manufacturer produces 7208 bed sheets in 28 days
    * They produce the same number of sheets every day

    To find the number of bed sheets manufactured each day, we need to divide the total number of sheets by the number of days:
    * 7208 bed sheets / 28 days = <<7208/28=257.43>>257.43 bed sheets per day

    Since we can't have a fractional number of bed sheets produced per day, we need to round down to the nearest whole number:
    * 257.43 rounded down to the nearest whole number is 257

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The dog food manufacturer produces 2900 pounds of dog food in a day
    * This amount is evenly distributed into 50 bags
    * To find the amount of food in each bag, we need to divide the total amount of food by the number of bags

    Calculation:
    * Total amount of food: 2900 pounds
    * Number of bags: 50
    * Amount of food per bag = 2900 pounds / 50 bags = <<2900/50=58>>58 pounds

    ### Answer: 58 pounds

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The manufacturer can now produce 2301 pounds of dog food in a day
    * The number of bags remains the same at 50

    To find the amount of food in each bag, we need to divide the total amount of food by the number of bags:

    Calculation:
    * Total amount of food: 2301 pounds
    * Number of bags: 50
    * Amount of food per bag = 2301 pounds / 50 bags = <<2301/50=46.02>>46.02 pounds

    ### Answer: 46.02 pounds

Expected answer: 2301/50

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The cat catches 2187 mice over a period of 27 months
    * To find the number of mice caught per month, we divide the total number of mice caught by the number of months
    * 2187 mice / 27 months = <<2187/27=81>>81 mice per month

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Alright, let's solve this step-by-step:
    * The cat catches 2784 mice over a period of 27 months
    * To find the number of mice caught per month, we divide the total number of mice caught by the number of months
    * 2784 mice / 27 months = <<2784/27=103>>103 mice per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The vineyard has harvested 1426 grapes.
    2) They want to pack the grapes evenly among 62 boxes.
    3) To find the number of grapes in each box, we need to divide the total number of grapes by the number of boxes.
    4) 1426 grapes / 62 boxes = <<1426/62=23>>23 grapes per box.

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The vineyard has harvested 4830 grapes.
    2) They want to pack the grapes evenly among 62 boxes.
    3) To find the number of grapes in each box, we need to divide the total number of grapes by the number of boxes.
    4) 4830 grapes / 62 boxes = <<4830/62=78>>78 grapes per box.

    ### Answer: 78

Expected answer: 2415/31

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The scientists found 1152 starfish
    * The starfish were distributed evenly over 72 square feet of seafloor
    * To find the number of starfish in each square foot, we need to divide the total number of starfish by the total area in square feet

    Calculation:
    * Total number of starfish: 1152
    * Total area in square feet: 72
    * Number of starfish per square foot = 1152 / 72 = <<1152/72=16>>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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The scientists found 833 starfish
    * The starfish were distributed evenly over 72 square feet of seafloor
    * To find the number of starfish in each square foot, we need to divide the total number of starfish by the total area in square feet

    Calculation:
    * Total number of starfish: 833
    * Total area in square feet: 72
    * Number of starfish per square foot = 833 / 72 = <<833/72=11.57>>11.57

    ### Answer: 11.57

Expected answer: 833/72

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * There are 36 toy trucks in the sandbox
    * The child splits the toy trucks evenly between 18 stuffed animals
    * To find how many toy trucks each stuffed animal gets, we need to divide the total number of toy trucks by the number of stuffed animals

    Calculation:
    * 36 toy trucks / 18 stuffed animals = 2 toy trucks per stuffed animal

    ### 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?

Claude-3 Haiku:

    Okay, let's work this out:
    * The child originally had 36 toy trucks and split them evenly among 18 stuffed animals, so each stuffed animal got 2 toy trucks.
    * The child then found another stash of 2925 toy trucks.
    * He continues to distribute the 2925 toy trucks evenly among his 18 stuffed animals.

    To calculate how many additional toy trucks each stuffed animal gets:
    * Total additional toy trucks: 2925
    * Number of stuffed animals: 18
    * Additional toy trucks per stuffed animal: 2925 / 18 = 162.5

    Since we can't have a fractional number of toy trucks, the answer is:
    ### Answer: 162

Expected answer: 325/2

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Reasoning:
    * The city is divided into 240 blocks
    * The city is divided evenly among 30 officers
    * To find the number of blocks each officer is responsible for, we need to divide the total number of blocks by the number of officers

    Calculation:
    * 240 blocks / 30 officers = 8 blocks per officer

    ### 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?

Claude-3 Haiku:

    Reasoning:
    * The larger city is divided into 3698 blocks
    * The city is still divided evenly among 30 officers
    * To find the number of blocks each officer is responsible for, we need to divide the total number of blocks by the number of officers

    Calculation:
    * 3698 blocks / 30 officers = 123.27 blocks per officer

    Since we cannot have a fractional number of blocks per officer, we need to round up to the nearest whole number.

    ### Answer: 124

Expected answer: 1849/15

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * There are 7917 unicorns in the enchanted forest
    * These unicorns are spread evenly among 87 meadows
    * To find the number of unicorns in each meadow, we need to divide the total number of unicorns by the number of meadows

    Calculation:
    * 7917 unicorns / 87 meadows = 91 unicorns per meadow

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Originally, there were 2842 unicorns in the enchanted forest
    * These 2842 unicorns were evenly distributed among 87 meadows
    * To find the number of unicorns in each meadow, we need to divide the total number of unicorns by the number of meadows

    Calculation:
    * 2842 unicorns / 87 meadows = 32.67 unicorns per meadow

    Since we can't have a fractional number of unicorns, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The river flows 902 kilometers through the country
    * The river passes through 82 cities along its course
    * The river's length is evenly distributed among these cities

    To find the length of the river within each city, we need to divide the total length of the river by the number of cities it passes through.

    * Total length of the river: 902 kilometers
    * Number of cities: 82
    * Length of the river within each city = 902 km / 82 cities = <<902 / 82 = 11>> 11 kilometers

    ### Answer: 11 kilometers

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The river now flows 3767 kilometers through the country
    * The river still passes through 82 cities along its course
    * The river's length is still evenly distributed among these cities

    To find the length of the river within each city, we need to divide the total length of the river by the number of cities it passes through.

    * Total length of the river: 3767 kilometers
    * Number of cities: 82
    * Length of the river within each city = 3767 km / 82 cities = <<3767 / 82 = 45.9>> 45.9 kilometers

    ### Answer: 45.9 kilometers

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The manufacturer produces a total of 552 sunglasses
    * The production is done across 69 different runs
    * Each run produces an equal number of sunglasses

    To find the number of sunglasses made in each run, we need to divide the total number of sunglasses by the number of runs.

    Total sunglasses: 552
    Number of runs: 69

    Sunglasses per run = 552 / 69 = <<552/69=8>>8

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The manufacturer produced a total of 7712 sunglasses
    * The production was done across 69 different runs
    * Each run produced an equal number of sunglasses

    To find the number of sunglasses made in each run, we need to divide the total number of sunglasses by the number of runs.

    Total sunglasses: 7712
    Number of runs: 69

    Sunglasses per run = 7712 / 69 = <<7712/69=112>>112

    ### 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?

Claude-3 Haiku:

    Reasoning:
    * The baby grows at an average rate of 2125 grams in his first 25 days.
    * 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 days
    * Average daily weight gain = 2125 grams / 25 days = <<2125 / 25 = 85>> 85 grams per day.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The baby grows at an average rate of 392 grams in his first 25 days.
    * 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 days
    * Average daily weight gain = 392 grams / 25 days = <<392 / 25 = 15.68>> 15.68 grams per day.

    ### Answer: 15.68 grams

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?

Claude-3 Haiku:

    Reasoning:
    * The factory produced a total of 1073 lamps over 37 consecutive days.
    * The factory makes the same quantity each day.
    * To find the number of lamps manufactured daily, we need to divide the total number of lamps by the number of days.
    * 1073 lamps / 37 days = <<1073/37=29>>29 lamps per day.

    ### 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?

Claude-3 Haiku:

    Reasoning:
    * The factory produced a total of 7668 lamps over 37 consecutive days.
    * The factory makes the same quantity each day.
    * To find the number of lamps manufactured daily, we need to divide the total number of lamps by the number of days.
    * 7668 lamps / 37 days = <<7668/37=207>>207 lamps per day.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The tiger walked a total of 2556 meters
    * The tiger walked this distance in 36 minutes
    * To find the distance the tiger walked in one minute, we need to divide the total distance by the total time

    Calculation:
    * Total distance: 2556 meters
    * Total time: 36 minutes
    * Distance per minute = 2556 meters / 36 minutes = <<2556/36=71.0>>71.0 meters per minute

    ### Answer: 71.0 meters

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?

Claude-3 Haiku:

    Okay, let's recalculate this with the new information:
    * The tiger walked a total of 2301 meters
    * The tiger walked this distance in 36 minutes
    * To find the distance the tiger walked in one minute, we need to divide the total distance by the total time

    Calculation:
    * Total distance: 2301 meters
    * Total time: 36 minutes
    * Distance per minute = 2301 meters / 36 minutes = <<2301/36=63.92>>63.92 meters per minute

    ### Answer: 63.92 meters

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * There are 30 keys on the piano
    * The total cost of the piano is $30
    * Each key contributes equally to the total cost

    To find the cost of each key, we need to divide the total cost by the number of keys:
    * Cost per key = Total cost / Number of keys
    * Cost per key = $30 / 30
    * Cost per key = $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?

Claude-3 Haiku:

    Okay, let's apply the same logic as before:
    * There are 30 keys on the piano
    * The total cost of the piano is $6906
    * Each key contributes equally to the total cost

    To find the cost of each key, we need to divide the total cost by the number of keys:
    * Cost per key = Total cost / Number of keys
    * Cost per key = $6906 / 30
    * Cost per key = $230.20

    ### Answer: $230.20

Expected answer: 1151/5

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * There are 1804 seashells scattered across a 41-meter stretch of sand
    * The seashells are distributed evenly across this stretch

    To find the number of seashells per meter, we need to divide the total number of seashells by the total length of the stretch.

    Total number of seashells: 1804
    Total length of the stretch: 41 meters

    Number of seashells per meter = 1804 / 41 = <<1804/41=44>>44 seashells per meter.

    ### Answer: 44 seashells per meter.

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * There are 9083 seashells scattered across a 41-meter stretch of sand
    * The seashells are distributed evenly across this stretch

    To find the number of seashells per meter, we need to divide the total number of seashells by the total length of the stretch.

    Total number of seashells: 9083
    Total length of the stretch: 41 meters

    Number of seashells per meter = 9083 / 41 = <<9083/41=221>>221 seashells per meter.

    ### Answer: 221 seashells per meter.

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The kite is flown for a total of 1311 minutes over the course of 23 days
    * The kite is flown for the same amount of time each day

    To find the number of minutes the kite is in the air per day, we need to divide the total minutes by the number of days:
    * Total minutes: 1311
    * Number of days: 23
    * 1311 minutes / 23 days = <<1311/23=57>>57 minutes per day

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The kite is flown for a total of 9051 minutes over the course of 23 days
    * The kite is flown for the same amount of time each day

    To find the number of minutes the kite is in the air per day, we need to divide the total minutes by the number of days:
    * Total minutes: 9051
    * Number of days: 23
    * 9051 minutes / 23 days = <<9051/23=393.5>>393.5 minutes per day

    ### Answer: 393.5

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The farmer harvested 2065 kilograms of tomatoes
    * The tomatoes were harvested from 59 tomato plants
    * To find the average kilograms of tomatoes produced by each plant, we divide the total kilograms by the number of plants:
    * 2065 kilograms / 59 plants = <<2065/59=35>>35 kilograms per plant on average.

    ### Answer: 35 kilograms

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?

Claude-3 Haiku:

    Okay, let's recalculate this with the new information:

    * The farmer actually harvested 1021 kilograms of tomatoes
    * The tomatoes were harvested from 59 tomato plants
    * To find the average kilograms of tomatoes produced by each plant, we divide the total kilograms by the number of plants:
    * 1021 kilograms / 59 plants = <<1021/59=17.31>>17.31 kilograms per plant on average.

    ### Answer: 17.31 kilograms

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The mouse can travel a total distance of 4928 meters
    * It takes the mouse 77 hours to travel this total distance

    To find the average distance the mouse runs in one hour, we need to divide the total distance by the total time:
    * Average distance per hour = Total distance / Total time
    * Average distance per hour = 4928 meters / 77 hours
    * Average distance per hour = <<4928 / 77 = 64>> 64 meters

    ### Answer: 64 meters

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The mouse can travel a total distance of 4928 meters
    * It takes the mouse 3690 minutes to travel this total distance

    To find the average distance the mouse runs in one minute, we need to divide the total distance by the total time:
    * Average distance per minute = Total distance / Total time
    * Average distance per minute = 4928 meters / 3690 minutes
    * Average distance per minute = <<4928 / 3690 = 1.33>> 1.33 meters

    ### Answer: 1.33 meters

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The kite is flying at a height of 1800 feet
    * The length of the string used is 50 feet
    * To find the height of the kite per each foot of the used string, we need to divide the height by the length of the string

    Calculation:
    * Height of the kite = 1800 feet
    * Length of the string used = 50 feet
    * Height per foot of string = 1800 feet / 50 feet = 36 feet per foot of string

    ### Answer: 36 feet per foot of the used string.

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The kite is now flying at a height of 5659 feet
    * The length of the string used is still 50 feet
    * To find the height of the kite per each foot of the used string, we need to divide the height by the length of the string

    Calculation:
    * Height of the kite = 5659 feet
    * Length of the string used = 50 feet
    * Height per foot of string = 5659 feet / 50 feet = 113.18 feet per foot of string

    ### Answer: 113.18 feet per foot of the used string.

Expected answer: 5659/50

Correct? No

🔗 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * You gathered 2208 ounces of firewood
    * This firewood needs to be evenly divided over 96 hours of maintaining the campfire
    * To find the amount of firewood used per hour, we need to divide the total amount of firewood by the number of hours

    Calculation:
    * Total firewood: 2208 ounces
    * Number of hours: 96 hours
    * Firewood used per hour = 2208 ounces / 96 hours = <<2208/96=23>>23 ounces per hour

    ### Answer: 23 ounces per hour

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The princess received 600 gifts for her birthday
    * She wants to evenly distribute these gifts among 50 of her closest friends
    * To find how many gifts each friend receives, we need to divide the total number of gifts by the number of friends

    Calculation:
    * Total number of gifts: 600
    * Number of friends: 50
    * Gifts per friend = 600 / 50 = 12

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The princess received 4030 gifts for her birthday this year
    * She wants to evenly distribute these 4030 gifts among 50 of her closest friends
    * To find how many gifts each friend receives, we need to divide the total number of gifts by the number of friends

    Calculation:
    * Total number of gifts: 4030
    * Number of friends: 50
    * Gifts per friend = 4030 / 50 = 80.6

    Since we can't give a fraction of a gift, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

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

    ### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Reasoning:
    * The total number of logs burned over the course of the year is 4264.
    * The total number of hours in the year is 3764.
    * To find the average number of logs burned per hour, we divide the total number of logs by the total number of hours:
    * 4264 logs / 3764 hours = <<4264/3764=1.13>>1.13 logs per hour.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The UFO traveled a distance of 1278 miles
    * The UFO traveled this distance in 71 minutes
    * We need to find the UFO's speed in miles per minute

    To calculate the speed, we use the formula:
    Speed = Distance / Time

    Plugging in the values:
    Speed = 1278 miles / 71 minutes
    Speed = 18 miles per minute

    ### Answer: 18 miles per minute

Expected answer: 18

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The UFO traveled a distance of 1278 miles
    * The UFO traveled this distance in 218 minutes
    * We need to find the UFO's speed in miles per minute

    To calculate the speed, we use the formula:
    Speed = Distance / Time

    Plugging in the values:
    Speed = 1278 miles / 218 minutes
    Speed = 5.86 miles per minute

    ### Answer: 5.86 miles per minute

Expected answer: 639/109

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The snail travels a total distance of 1610 cm in 35 days.
    * We need to find the distance the snail travels daily.
    * To do this, we divide the total distance by the number of days:
    * 1610 cm / 35 days = <<1610 / 35 = 46>> 46 cm per day.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The snail travels a total distance of 9521 cm in 35 days.
    * We need to find the distance the snail travels daily.
    * To do this, we divide the total distance by the number of days:
    * 9521 cm / 35 days = <<9521 / 35 = 272>> 272 cm per day.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The beach resort has 960 pounds of sand for the event
    * They need to divide the sand evenly among 80 competitor stations
    * To find the amount of sand at each station, we need to divide the total amount of sand by the number of stations

    Calculation:
    * Total sand: 960 pounds
    * Number of stations: 80
    * Amount of sand per station = 960 pounds / 80 stations = <<960 / 80 = 12>> 12 pounds per station

    ### Answer: 12 pounds

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The beach resort now has 1120 pounds of sand for the event
    * They still need to divide the sand evenly among 80 competitor stations
    * To find the amount of sand at each station, we need to divide the total amount of sand by the number of stations

    Calculation:
    * Total sand: 1120 pounds
    * Number of stations: 80
    * Amount of sand per station = 1120 pounds / 80 stations = <<1120 / 80 = 14>> 14 pounds per station

    ### Answer: 14 pounds

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?

Claude-3 Haiku:

    Reasoning:
    * The jewellery store received 2520 colourful bracelets
    * They decided to divide them evenly amongst 56 display cases
    * To find the number of bracelets in each display case, we need to divide the total number of bracelets by the number of display cases
    * 2520 ÷ 56 = <<2520 ÷ 56 = 45>>45

    ### 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?

Claude-3 Haiku:

    Reasoning:
    * The jewellery store received a fresh shipment of 5311 new bracelets
    * They decided to distribute these new bracelets equally amongst the same 56 display cases as before
    * To find the number of bracelets in each display case, we need to divide the total number of new bracelets by the number of display cases
    * 5311 ÷ 56 = <<5311 ÷ 56 = 94.84>>94.84

    Since we cannot have a fractional number of bracelets in each display case, we need to round down to the nearest whole number.

    ### Answer: 94

Expected answer: 5311/56

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The tiger travels a total distance of 4104 miles over 54 days
    * We need to find how many miles the tiger travels in one day
    * To do this, we divide the total distance by the number of days
    * 4104 miles / 54 days = <<4104 / 54 = 76>> 76 miles per day

    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The tiger travels a total distance of 2498 miles over 54 days
    * We need to find how many miles the tiger travels in one day
    * To do this, we divide the total distance by the number of days
    * 2498 miles / 54 days = <<2498 / 54 = 46.26>> 46.26 miles per day

    ### Answer: 46.26

Expected answer: 1249/27

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The host baked a total of 2460 cookies
    * The baking process was evenly distributed over 60 batches

    To find the number of cookies in each batch, we need to divide the total number of cookies by the number of batches:

    2460 cookies / 60 batches = <<2460/60=41>>41 cookies per 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?

Claude-3 Haiku:

    Okay, let's recalculate this with the new information:
    * The host baked a total of 2460 cookies
    * The baking process was evenly distributed over 554 batches

    To find the number of cookies in each batch, we need to divide the total number of cookies by the number of batches:

    2460 cookies / 554 batches = <<2460/554=4.44>>4.44 cookies per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) We have 156 numbers that need to be divided evenly into 6 sets.
    2) To find the number of numbers in each set, we need to divide 156 by 6.
    3) 156 ÷ 6 = 26
    4) Therefore, each set will have 26 numbers.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) We have 2347 items that need to be divided evenly into 6 groups.
    2) To find the number of items in each group, we need to divide 2347 by 6.
    3) 2347 ÷ 6 = 391.1666... (rounded to 4 decimal places)
    4) Since we need to divide the items evenly, we need to round down to the nearest whole number.
    5) Therefore, each group will have 391 items.

    ### 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?

Claude-3 Haiku:

    Reasoning:
    The bubble machine produces a total of 888 bubbles over a period of 24 minutes.
    To find the number of bubbles produced per minute, we need to divide the total number of bubbles by the number of minutes.
    888 bubbles / 24 minutes = <<888/24=37>>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?

Claude-3 Haiku:

    Reasoning:
    The bubble machine now produces a total of 6080 bubbles over a period of 24 minutes.
    To find the number of bubbles produced per minute, we need to divide the total number of bubbles by the number of minutes.
    6080 bubbles / 24 minutes = <<6080/24=253.33>>253.33 bubbles per minute.
    ### Answer: 253.33

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The rainbow appears for 680 seconds total
    * It cycles through its complete range of colors 8 times during this appearance

    To find the time spent on each cycle, we need to divide the total time by the number of cycles:
    * 680 seconds / 8 cycles = 85 seconds per cycle

    ### Answer: 85 seconds

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The rainbow lasts for 8713 seconds total
    * It cycles through its complete range of colors 8 times during this appearance

    To find the time spent on each cycle, we need to 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 need to round the answer to the nearest whole number:
    * 1089 seconds per cycle

    ### Answer: 1089 seconds

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The ball recycler has a total of 3864 balls.
    2) He wants to evenly distribute these balls into 42 recycling bins.
    3) To find the number of balls in each bin, we need to divide the total number of balls by the number of bins.
    4) 3864 / 42 = <<3864/42=92>>92 balls per bin.

    ### Answer: 92

Expected answer: 92

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The ball recycler has a total of 4934 balls.
    2) He wants to evenly distribute these balls into 42 recycling bins.
    3) To find the number of balls in each bin, we need to divide the total number of balls by the number of bins.
    4) 4934 / 42 = <<4934/42=117>>117 balls per bin.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The metalsmith has 1610 grams of silver
    * He uses 70 grams of silver for each ring
    * To find the number of rings he can create, we need to divide the total amount of silver by the amount of silver used per ring

    Calculation:
    * Total silver: 1610 grams
    * Silver per ring: 70 grams
    * Number of rings = 1610 grams / 70 grams per ring
    * Number of rings = 1610 / 70
    * Number of rings = 23

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The metalsmith now has a total of 5312 grams of silver
    * He is using 70 grams of silver for each ring
    * To find the number of rings he can create, we need to divide the total amount of silver by the amount of silver used per ring

    Calculation:
    * Total silver: 5312 grams
    * Silver per ring: 70 grams
    * Number of rings = 5312 grams / 70 grams per ring
    * Number of rings = 5312 / 70
    * Number of rings = 76

    ### Answer: 76

Expected answer: 2656/35

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Reasoning:
    * The crate contains 88 apples
    * The apples are equally distributed into 44 bags
    * To find the number of apples in each bag, we divide the total number of apples by the number of bags
    * 88 apples / 44 bags = <<88/44=2>>2 apples per bag

    ### 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?

Claude-3 Haiku:

    Okay, let's work this out step-by-step:
    * The crate contains 8840 apples
    * The apples are equally distributed into 44 bags
    * To find the number of apples in each bag, we divide the total number of apples by the number of bags
    * 8840 apples / 44 bags = <<8840/44=201.36>>201.36 apples per bag

    Since we cannot have a fractional number of apples per bag, we need to round down to the nearest whole number.

    ### Answer: 201

Expected answer: 2210/11

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The jewelry maker uses 87 precious stones to create a bracelet
    * The bracelet consists of 29 identical parts
    * We need to find how many stones are in each part of the bracelet

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

    87 stones / 29 parts = <<87/29=3>>3 stones per part

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The jewelry maker now uses 8017 precious stones to create the bracelet
    * The bracelet still consists of 29 identical parts
    * We need to find how many stones are in each part of the new bracelet

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

    8017 stones / 29 parts = <<8017/29=276.4138>>276.4138 stones per part

    Since we can't have a fractional number of stones, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The beverage company has a target of filling 1320 bottles with juice
    * This is to be done evenly over 88 hours
    * To find the number of bottles filled per hour, we need to divide the total number of bottles by the number of hours

    Calculation:
    * Total bottles: 1320
    * Total hours: 88
    * Bottles per hour = 1320 / 88 = <<1320 / 88 = 15>>15 bottles per hour

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The new target is 8607 bottles
    * The time period is still 88 hours
    * To find the number of bottles filled per hour, we divide the total bottles by the total hours

    Calculation:
    * Total bottles: 8607
    * Total hours: 88
    * Bottles per hour = 8607 / 88 = <<8607 / 88 = 97.8>>97.8 bottles per hour

    ### Answer: 97.8

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Annapurna plans to plant 3520 tulips
    * She will plant them in 40 equal rows
    * To find the number of tulips in each row, we need to divide the total number of tulips by the number of rows

    Calculation:
    * Total tulips: 3520
    * Number of rows: 40
    * Tulips per row = 3520 / 40 = 88

    ### 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?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:
    * Anna has 3520 tulips to plant
    * She has 3052 spaces to plant them in
    * She wants to split the 3520 tulips evenly across the 3052 spaces

    To find the number of tulips per space, we need to divide the total number of tulips by the number of spaces:

    * Total tulips: 3520
    * Number of spaces: 3052
    * Tulips per space = 3520 / 3052 = 1.15

    Since we can't plant a fractional number of tulips, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The toy shop produced 3306 doll clothes.
    2) They distributed the clothes evenly among 58 dolls.
    3) To find how many pieces of clothing each doll got, we need to divide the total number of clothes (3306) by the number of dolls (58).
    4) 3306 / 58 = <<3306/58=57>>57 pieces of clothing per doll.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The toy shop produced an additional 9115 doll clothes.
    2) They distributed the additional clothes evenly among the same 58 dolls.
    3) To find how many pieces of clothing each doll got this time, we need to divide the total number of additional clothes (9115) by the number of dolls (58).
    4) 9115 / 58 = <<9115/58=157>>157 pieces of additional clothing per doll.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The bear consumes 1881 pounds of food over a 19-day hibernation period.
    * To find the average pounds of food consumed per day, we need to divide the total pounds of food consumed by the number of days.
    * 1881 pounds of food / 19 days = <<1881 / 19 = 99>> 99 pounds of food per day.

    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The bear consumes 7207 pounds of food over a 19-day hibernation period.
    * To find the average pounds of food consumed per day, we need to divide the total pounds of food consumed by the number of days.
    * 7207 pounds of food / 19 days = <<7207 / 19 = 379.32>> 379.32 pounds of food per day.

    ### Answer: 379.32

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?

Claude-3 Haiku:

    Reasoning:
    The plane flew 1720 miles in 86 hours.
    To find the miles per hour, we divide the total miles by the total hours:
    1720 miles / 86 hours = <<1720/86=20>>20 miles per hour.

    ### Answer: 20 miles per hour.

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?

Claude-3 Haiku:

    Reasoning:
    The plane flew 1990 miles in 86 hours.
    To find the miles per hour, we divide the total miles by the total hours:
    1990 miles / 86 hours = <<1990/86=23.14>>23.14 miles per hour.

    ### Answer: 23.14 miles per hour.

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?

Claude-3 Haiku:

    Reasoning:
    * The factory manufactured 4950 pencils over a period of 90 hours.
    * The factory produced the same number of pencils every hour.
    * To find the number of pencils produced each hour, we need to divide the total number of pencils by the number of hours.
    * 4950 pencils / 90 hours = <<4950/90=55>>55 pencils per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The factory produced 3487 pencils over a period of 90 hours
    * The production was even over the 90 hour period
    * To find the number of pencils produced each hour, we divide the total number of pencils by the number of hours
    * 3487 pencils / 90 hours = <<3487/90=38.74>>38.74 pencils per 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?

Claude-3 Haiku:

    Reasoning:
    * The garden produces a total of 780 tomatoes during the season.
    * The output is evenly distributed over 52 weeks.
    * To find the number of tomatoes produced each week, we need to divide the total number of tomatoes by the number of weeks.
    * 780 tomatoes / 52 weeks = <<780/52=15>>15 tomatoes per 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?

Claude-3 Haiku:

    Reasoning:
    * In the previous season, the garden produced a total of 780 tomatoes.
    * In the following season, the garden produced a total of 2502 tomatoes.
    * The output is evenly distributed over 52 weeks in both seasons.
    * To find the number of tomatoes produced each week in the following season, we need to divide the total number of tomatoes by the number of weeks.
    * 2502 tomatoes / 52 weeks = <<2502/52=48.12>>48.12 tomatoes per week.

    ### Answer: 48.12

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The tiger travels a total distance of 1679 km
    * The tiger travels this distance evenly over a period of 73 days

    To find the distance the tiger covers each day, we need to divide the total distance by the number of days:
    * 1679 km / 73 days = <<1679 / 73 = 23>> 23 km per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The tiger travels a total distance of 7008 km
    * The tiger travels this distance evenly over the same period of 73 days

    To find the distance the tiger covers each day, we need to divide the total distance by the number of days:
    * 7008 km / 73 days = <<7008 / 73 = 96>> 96 km per 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?

Claude-3 Haiku:

    Reasoning:
    The store has 2280 new ice skates.
    The store has 38 locations.
    To find the number of ice skates each store will receive, we need to divide the total number of ice skates by the number of store locations.
    2280 ice skates / 38 store locations = <<2280/38=60>>60 ice skates per store.

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Reasoning:
    The store now has a total of 3887 new ice skates.
    The store has 38 locations.
    To find the number of ice skates each store will receive, we need to divide the total number of ice skates by the number of store locations.
    3887 ice skates / 38 store locations = <<3887/38=102.3>>102.3 ice skates per store.

    Since we cannot have a fractional number of ice skates, we need to round down to the nearest whole number.

    ### Answer: 102

Expected answer: 3887/38

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The novel has 4606 pages
    * You want to split the reading evenly over 47 days

    To find the number of pages you need to read each day, we divide the total number of pages by the number of days:
    * 4606 pages / 47 days = <<4606/47=98>>98 pages per day

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's work this out:
    * The new novel has 5982 pages
    * You still want to finish reading in 47 days

    To find the number of pages you need to read each day, we divide the total number of pages by the number of days:
    * 5982 pages / 47 days = <<5982/47=127.3>>127.3 pages per day

    Since you can't read a fraction of a page, you would need to round up to the nearest whole number:
    * <<127.3 rounded up to the nearest whole number = 128>>128 pages per day

    ### Answer: 128

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The dressmaking company has 3234 centimeters of fabric
    * They use 33 centimeters of fabric to make each skirt
    * To find the total number of skirts they can make, we need to divide the total fabric by the amount of fabric used per skirt

    Calculation:
    * Total fabric: 3234 cm
    * Fabric used per skirt: 33 cm
    * Number of skirts = 3234 cm / 33 cm per skirt
    * Number of skirts = 98

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The dressmaking company has 3234 centimeters of fabric
    * The new skirt design requires 158 centimeters of fabric per skirt
    * To find the total number of skirts they can make, we need to divide the total fabric by the amount of fabric used per skirt

    Calculation:
    * Total fabric: 3234 cm
    * Fabric used per skirt: 158 cm
    * Number of skirts = 3234 cm / 158 cm per skirt
    * Number of skirts = 20.46

    Since we can't make a fractional skirt, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The doctor has spent a total of 4424 minutes talking with patients over the past 56 days.
    * We need to find how many minutes the doctor spends talking with patients each day.
    * To do this, we divide the total minutes by the number of days:
    * 4424 minutes / 56 days = <<4424/56=79>>79 minutes per day.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The doctor spent a total of 1047 minutes talking with patients over the past 56 days.
    * We need to find how many minutes the doctor spends talking with patients each day.
    * To do this, we divide the total minutes by the number of days:
    * 1047 minutes / 56 days = <<1047/56=18.7>>18.7 minutes per day.

    ### Answer: 18.7

Expected answer: 1047/56

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) Sam has a total of 3025 marshmallows.
    2) He wants to package them into bags of 55 marshmallows each.
    3) To find the number of marshmallows in each bag, we need to divide the total number of marshmallows by the number of marshmallows per bag.
    4) 3025 marshmallows / 55 marshmallows per bag = 55 bags.
    5) Therefore, each bag will contain 55 marshmallows.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) Sam has a total of 3025 marshmallows.
    2) He wants to divide them evenly into 2011 bags.
    3) To find the number of marshmallows in each bag, we need to divide the total number of marshmallows by the number of bags.
    4) 3025 marshmallows / 2011 bags = 1.5 marshmallows per bag.
    5) Since we can't have a fractional marshmallow, we need to round down to the nearest whole number.
    6) Therefore, each bag will contain 1 marshmallow.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The jeweler has 1944 pieces of beads.
    2) The jeweler wants to create bracelets using an equal number of beads in each bracelet.
    3) The jeweler ends up making 72 bracelets.

    To find the number of beads in each bracelet, we need to divide the total number of beads by the number of bracelets made.

    Total number of beads: 1944
    Number of bracelets made: 72

    Number of beads per bracelet = 1944 / 72 = <<1944/72=27>>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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The jeweler has 1944 pieces of beads.
    2) The jeweler wants to create 495 bracelets using an equal number of beads in each bracelet.

    To find the number of beads in each bracelet, we need to divide the total number of beads by the number of bracelets made.

    Total number of beads: 1944
    Number of bracelets made: 495

    Number of beads per bracelet = 1944 / 495 = <<1944/495=3.93>>3.93 beads

    Since we can't have a fractional number of beads per bracelet, we need to round down to the nearest whole number.

    ### Answer: 3 beads

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The farmer has 272 carrots
    2) He wants to divide them into 17 bunches
    3) To find the number of carrots in each bunch, we divide the total number of carrots by the number of bunches:
    272 ÷ 17 = <<272 ÷ 17 = 16>>16

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The farmer has 3176 carrots
    2) He wants to divide them into 17 bunches
    3) To find the number of carrots in each bunch, we divide the total number of carrots by the number of bunches:
    3176 ÷ 17 = <<3176 ÷ 17 = 187>>187

    ### Answer: 187

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?

Claude-3 Haiku:

    Reasoning:
    * Total inches of snow that fell over the 87 days: 1740 inches
    * To find the average inches of snow per day, we divide the total inches by the number of days:
    * 1740 inches / 87 days = <<1740/87 = 20>> 20 inches per day

    ### Answer: 20 inches

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?

Claude-3 Haiku:

    Reasoning: The carpenter has 80 inches of wood, and each door requires exactly 80 inches of wood. Therefore, the carpenter can make 1 door with the available wood.
    ### 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?

Claude-3 Haiku:

    Reasoning: The carpenter has 4322 inches of wood, and each door requires exactly 80 inches of wood.
    To find the number of doors the carpenter can make, we divide the total amount of wood by the amount of wood required for each door:
    4322 inches of wood / 80 inches per door = 54.025 doors
    Since we can't make a fraction of a door, we round down to the nearest whole number.
    ### 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?

Claude-3 Haiku:

    Reasoning:
    * The doctor has treated a total of 2691 patients over a period of 39 years.
    * To find the average number of patients attended to per year, we need to divide the total number of patients by the number of years.
    * 2691 patients / 39 years = <<2691 / 39 = 69.0>>69.0 patients per year on average.

    ### Answer: 69.0

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The doctor has treated a total of 9447 patients over a period of 39 years.
    * To find the average number of patients attended to per year, we need to divide the total number of patients by the number of years.
    * 9447 patients / 39 years = <<9447 / 39 = 242.0>>242.0 patients per year on average.

    ### Answer: 242.0

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The farmer harvested 936 cucumbers in total
    * He had 52 plants
    * He got the same number of cucumbers from each plant

    To find the number of cucumbers per plant, we need to divide the total number of cucumbers by the number of plants:
    * 936 cucumbers / 52 plants = <<936/52=18>>18 cucumbers per 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * In the previous season, the farmer got 18 cucumbers per plant
    * In the current season, the farmer harvested a total of 8539 cucumbers
    * The number of plants is still 52

    To find the number of cucumbers per plant in the current season, we can use the information from the previous season:
    * Since the farmer harvested the same number of cucumbers per plant, we can divide the total number of cucumbers (8539) by the number of plants (52) to get the number of cucumbers per plant:
    * 8539 cucumbers / 52 plants = <<8539/52=164>>164 cucumbers per plant

    ### Answer: 164

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The party organizer has 2470 balloons.
    2) The balloons need to be equally distributed over 26 parties.
    3) To find the number of balloons each party gets, we need to divide the total number of balloons by the number of parties.
    4) 2470 balloons / 26 parties = 95 balloons per party.

    ### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The party organizer now has a total of 8421 balloons.
    2) The balloons need to be equally distributed over 26 parties.
    3) To find the number of balloons each party gets, we need to divide the total number of balloons by the number of parties.
    4) 8421 balloons / 26 parties = 324 balloons per party.

    ### Answer: 324

Expected answer: 8421/26

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The manufacturer has a batch of 858 milliliters of juice
    * They plan to distribute this juice equally into 13 bottles
    * To find the amount of juice in each bottle, we need to divide the total amount of juice by the number of bottles
    * 858 milliliters / 13 bottles = <<858/13=66>>66 milliliters per bottle

    ### Answer: 66 milliliters

Expected answer: 66

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The manufacturer has a batch of 1192 milliliters of juice
    * They plan to distribute this juice equally into 13 bottles
    * To find the amount of juice in each bottle, we need to divide the total amount of juice by the number of bottles
    * 1192 milliliters / 13 bottles = <<1192/13=92>>92 milliliters per bottle

    ### Answer: 92 milliliters

Expected answer: 1192/13

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Reasoning:
    To find the distance the scooter travels in each second, we need to divide the total distance traveled by the total time.

    Given information:
    - The scooter travels a total of 1600 feet in 64 seconds.

    Step 1: Calculate the distance the scooter travels in each second.
    Distance traveled in each second = Total distance traveled / Total time
    Distance traveled in each second = 1600 feet / 64 seconds
    Distance traveled in each second = 25 feet

    ### Answer: 25 feet

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?

Claude-3 Haiku:

    Okay, let's solve this new problem.

    Reasoning:
    Given information:
    - The scooter travels a total of 3984 feet in 64 seconds.

    Step 1: Calculate the distance the scooter travels in each second.
    Distance traveled in each second = Total distance traveled / Total time
    Distance traveled in each second = 3984 feet / 64 seconds
    Distance traveled in each second = 62.25 feet

    ### Answer: 62.25 feet

Expected answer: 249/4

Correct? No

🔗 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?

Claude-3 Haiku:

    Reasoning:
    * The company has manufactured a total of 2907 lamps
    * The lamps are to be divided equally among 51 stores
    * To find the number of lamps each store will receive, we need to divide the total number of lamps by the number of stores

    Calculation:
    * 2907 lamps / 51 stores = <<2907/51=57>>57 lamps per store

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Reasoning:
    * The company has manufactured a total of 4753 lamps
    * The lamps are to be divided equally among 51 stores
    * To find the number of lamps each store will receive, we need to divide the total number of lamps by the number of stores

    Calculation:
    * 4753 lamps / 51 stores = <<4753/51=93>>93 lamps per store

    ### Answer: 93

Expected answer: 4753/51

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Reasoning:
    * The clock ticks 756 times in 18 minutes
    * To find the number of times it ticks in 1 minute, we need to divide the total number of ticks by the number of minutes
    * 756 ticks / 18 minutes = 42 ticks per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The clock ticks a total of 3788 times in 18 minutes
    * To find the number of times it ticks in 1 minute, we need to divide the total number of ticks by the number of minutes
    * 3788 ticks / 18 minutes = 210.44 ticks per minute

    Since we can't have a fractional number of ticks, we need to round the answer to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The pillow factory has 930 feathers available
    * They are able to fill 15 pillows
    * They put the same amount of feathers into each pillow

    To find the number of feathers in each pillow, we need to divide the total number of feathers by the number of pillows filled.

    Total feathers: 930
    Number of pillows filled: 15

    Number of feathers per pillow = 930 / 15 = <<930/15=62>>62

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The second pillow factory has 5881 feathers available
    * They are also able to fill 15 pillows
    * They put the same amount of feathers into each pillow

    To find the number of feathers in each pillow, we need to divide the total number of feathers by the number of pillows filled.

    Total feathers: 5881
    Number of pillows filled: 15

    Number of feathers per pillow = 5881 / 15 = <<5881/15=392>>392

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The cost of the pair of binoculars is $702
    * The cost is divided equally amongst a birdwatching group of 54 people

    To find out how much each person has to contribute, we need to divide the total cost by the number of people in the group.

    $702 / 54 = $13

    Therefore, each person in the birdwatching group has to contribute $13 towards the cost of the binoculars.

    ### 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?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:

    * The original pair of binoculars cost $702
    * The new pair of binoculars cost $446
    * The cost is divided equally amongst a group of 54 people

    First, we need to calculate the refund amount for the original pair of binoculars:
    * $702 / 54 = $13 per person
    * $13 x 54 = $702 total refund

    Now, we need to calculate the cost per person for the new pair of binoculars:
    * $446 / 54 = $8.26 per person

    Therefore, each person in the birdwatching group now has to pay $8.26 towards the cost of the new pair of binoculars.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The rope is 510 cm long
    * It is divided into 30 equal pieces
    * To find the length of each piece, we need to divide the total length by the number of pieces

    Calculation:
    * Total length of the rope: 510 cm
    * Number of equal pieces: 30
    * Length of each piece = 510 cm / 30 = <<510 cm / 30 = 17 cm>>17 cm

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The rope is 9650 cm long
    * It is divided into 30 equal pieces
    * To find the length of each piece, we need to divide the total length by the number of pieces

    Calculation:
    * Total length of the rope: 9650 cm
    * Number of equal pieces: 30
    * Length of each piece = 9650 cm / 30 = <<9650 cm / 30 = 321.67 cm>>321.67 cm

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The pirate ship has a total of 6097 gold coins
    * The coins are evenly distributed among 91 chests
    * To find the number of coins in each chest, we need to divide the total number of coins by the number of chests

    Calculation:
    * Total coins: 6097
    * Number of chests: 91
    * Coins per chest = 6097 / 91 = <<6097/91=67>>67

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The pirate ship has a total of 6097 gold coins
    * The coins are evenly distributed among 2910 chests
    * To find the number of coins in each chest, we need to divide the total number of coins by the number of chests

    Calculation:
    * Total coins: 6097
    * Number of chests: 2910
    * Coins per chest = 6097 / 2910 = <<6097/2910=2>>2

    ### Answer: 2

Expected answer: 6097/2910

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Reasoning:
    * The treasure chest contains 2425 gold coins.
    * The coins are to be divided evenly among 97 pirates.
    * To find the number of coins each pirate receives, we need to divide the total number of coins by the number of pirates.
    * 2425 ÷ 97 = <<2425/97=25>>25 coins per pirate.

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Reasoning:
    * The treasure chest now contains 5005 gold coins.
    * The coins are still to be divided evenly among 97 pirates.
    * To find the number of coins each pirate receives, we need to divide the total number of coins by the number of pirates.
    * 5005 ÷ 97 = <<5005/97=51.59>>51.59 coins per pirate.

    Since we cannot have a fractional number of coins, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Reasoning:
    The boat consumed 204 liters of fuel during a journey of 51 hours.
    To find the amount of fuel consumed in one hour, we need to divide the total fuel consumed by the total number of hours.
    Fuel consumed per hour = Total fuel consumed / Total hours
    Fuel consumed per hour = 204 liters / 51 hours
    Fuel consumed per hour = <<204 liters / 51 hours = 4 liters/hour>>4 liters/hour

    ### Answer: 4 liters/hour

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?

Claude-3 Haiku:

    Okay, let's work this out step-by-step:
    * The boat originally consumed 204 liters of fuel during a 51-hour journey
    * This means the boat consumed 204 liters / 51 hours = 4 liters per hour
    * Now, the boat only has 100 liters of fuel to start with for the same 51-hour journey
    * Since the boat consumes 4 liters per hour, and it has 100 liters to start with, the boat will run out of fuel after:
    * 100 liters / 4 liters per hour = 25 hours
    * So the boat will only be able to travel for 25 hours with 100 liters of fuel
    * Therefore, the fuel consumed per hour is now:
    * 100 liters / 25 hours = <<100 liters / 25 hours = 4 liters/hour>>4 liters/hour

    ### Answer: 4 liters/hour

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The map's scale is such that 8448 kilometers are represented as 96 centimeters.
    * We need to find how many kilometers each centimeter represents on this map.
    * To do this, we can set up a proportion:
    * 8448 kilometers / 96 centimeters = x kilometers / 1 centimeter
    * Cross-multiplying, we get:
    * 8448 * 1 = 96 * x
    * Solving for x, we get:
    * x = (8448 * 1) / 96
    * x = 88 kilometers per centimeter

    ### Answer: 88 kilometers

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * On this new map, 8448 kilometers is represented by 4759 centimeters.
    * We need to find how many kilometers each centimeter represents on this map.
    * To do this, we can set up a proportion:
    * 8448 kilometers / 4759 centimeters = x kilometers / 1 centimeter
    * Cross-multiplying, we get:
    * 8448 * 1 = 4759 * x
    * Solving for x, we get:
    * x = (8448 * 1) / 4759
    * x = 1.78 kilometers per centimeter

    ### Answer: 1.78 kilometers

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The train travels a total of 584 kms
    * The train travels this distance over 73 hours
    * To find the distance traveled each hour, we need to divide the total distance by the total time

    Calculation:
    * Total distance = 584 kms
    * Total time = 73 hours
    * Distance per hour = 584 kms / 73 hours = <<584 / 73 = 8>> 8 kms per hour

    ### Answer: 8 kms

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The train travels a total of 584 kms
    * The train travels this distance over 71 hours
    * To find the distance traveled each hour, we need to divide the total distance by the total time

    Calculation:
    * Total distance = 584 kms
    * Total time = 71 hours
    * Distance per hour = 584 kms / 71 hours = <<584 / 71 = 8.23>> 8.23 kms per hour

    ### Answer: 8.23 kms

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The teacher assigns a total of 3612 pages of reading
    * This is over 86 days of school
    * The teacher assigns an equal number of pages for every day

    To find the number of pages each student needs to read daily, we need to divide the total number of pages by the number of days.

    Total pages: 3612
    Number of days: 86

    Pages per day = 3612 / 86 = <<3612/86=42>>42 pages

    ### 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?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:
    * The teacher originally assigned 3612 pages over 86 days
    * This means the original pages per day was 3612 / 86 = 42 pages per day
    * Now, the teacher reduces the total pages to 3612, but spreads them over 328 days instead of 86 days
    * To find the new pages per day, we divide the total pages by the new number of days:
    * Pages per day = 3612 / 328 = <<3612/328=11>>11 pages

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The hat maker makes 1083 hats throughout 57 weeks
    * The hat maker makes the same amount of hats every week

    To find the number of hats produced weekly, we need to divide the total number of hats by the number of weeks:
    * 1083 hats / 57 weeks = <<1083/57=19>>19 hats per 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:

    * In the previous year, the hat maker produced 1083 hats over 57 weeks
    * This means the hat maker produced 1083 / 57 = 19 hats per week

    * In the following year, the hat maker produced a total of 7678 hats over 57 weeks
    * To find the number of hats produced weekly, we divide the total hats by the number of weeks:
    * 7678 hats / 57 weeks = <<7678/57=134.7>>134.7 hats per week

    ### Answer: 135

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The sock manufacturer produced 4218 pairs of socks over 74 days
    * They produced the same number of socks each day

    To find the number of pairs of socks they made daily, we need to divide the total number of pairs of socks by the number of days:
    * 4218 pairs of socks / 74 days = <<4218/74=57>>57 pairs of socks per day

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's recalculate with the new information:
    * The sock manufacturer produced 4055 pairs of socks over 74 days
    * They produced the same number of socks each day

    To find the number of pairs of socks they made daily, we need to divide the total number of pairs of socks by the number of days:
    * 4055 pairs of socks / 74 days = <<4055/74=54.8>>54.8 pairs of socks per day

    ### Answer: 54.8

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?

Claude-3 Haiku:

    Reasoning:
    * Each bracelet requires 69 small pearls
    * We have 3657 pearls in total
    * To find the number of full bracelets that can be made, we need to divide the total number of pearls by the number of pearls required for each bracelet

    Number of full bracelets = 3657 / 69
    = 53 full bracelets

    ### Answer: 53

Expected answer: 53

Correct? Yes

🔗 Problem

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

Claude-3 Haiku:

    Reasoning:
    * The scooter travelled a total distance of 4000 meters in 80 minutes.
    * To find the distance travelled per minute, we need to divide the total distance by the total time.
    * 4000 meters / 80 minutes = 50 meters per minute.

    ### Answer: 50 meters per minute.

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?

Claude-3 Haiku:

    Reasoning:
    * In the previous week, the scooter travelled 4000 meters in 80 minutes, which is 50 meters per minute.
    * In the following week, the scooter travelled 5391 meters in 80 minutes.
    * To find the distance travelled per minute, we need to divide the total distance by the total time.
    * 5391 meters / 80 minutes = 67.3875 meters per minute.

    ### Answer: 67.3875 meters per minute.

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The toy factory makes 364 toys in a week
    * The factory operates the same number of hours each day for 4 days a week

    To find the number of toys made per day, we need to divide the total number of toys made in a week by the number of days the factory operates.

    * 364 toys / 4 days = <<364/4=91>>91 toys per day

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The toy factory now makes 571 toys in a week
    * The factory still operates the same number of hours each day for 4 days a week

    To find the number of toys made per day, we need to divide the total number of toys made in a week by the number of days the factory operates.

    * 571 toys / 4 days = <<571/4=142.75>>142.75 toys per day

    ### Answer: 142.75

Expected answer: 571/4

Correct? Yes

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The slide is 4950 millimeters long
    * The slide is divided into 66 equal sections
    * We need to find the length of each section

    To find the length of each section, we need to divide the total length of the slide by the number of sections:
    * 4950 millimeters / 66 sections = <<4950/66=75>>75 millimeters per section

    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The slide is 9823 millimeters long
    * The slide is divided into 66 equal sections
    * We need to find the length of each section

    To find the length of each section, we need to divide the total length of the slide by the number of sections:
    * 9823 millimeters / 66 sections = <<9823/66=148.8>>148.8 millimeters per section

    ### Answer: 148.8

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The dragon has 726 gold coins
    * The coins are spread evenly among 66 small chests
    * To find the number of coins in each chest, we need to divide the total number of coins by the number of chests

    Calculation:
    * Total number of coins: 726
    * Number of chests: 66
    * Number of coins in each chest = 726 / 66 = <<726/66=11>>11

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * In the previous problem, the dragon had 726 gold coins spread evenly among 66 chests
    * Now, the dragon has 3453 gold coins instead of 726
    * The number of chests is still 66

    To find the number of gold coins in each chest, we need to divide the total number of coins by the number of chests:
    * Total number of coins: 3453
    * Number of chests: 66
    * Number of coins in each chest = 3453 / 66 = <<3453/66=52>>52

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The marine biologists counted a total of 702 limbs on the group of starfish
    * Each starfish has 9 limbs
    * To find the number of starfish, we need to divide the total number of limbs by the number of limbs per starfish

    So, the calculation is:
    * Total limbs / Limbs per starfish = Number of starfish
    * 702 / 9 = <<702/9=78>>78 starfish

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's work through this step-by-step:

    * In the previous problem, the total number of limbs counted was 702
    * But in this new information, the marine biologists noticed they made a mistake and the actual number of limbs counted was 278
    * Each starfish still has 9 limbs

    To find the number of starfish, we need to divide the total number of limbs by the number of limbs per starfish:

    * Total limbs / Limbs per starfish = Number of starfish
    * 278 / 9 = <<278/9=30.89>>30.89 starfish

    Since we can't have a fractional number of starfish, we need to round down to the nearest whole number:

    ### Answer: 30

Expected answer: 278/9

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The city park covers an area of 1927 acres
    * The area is divided into 47 equal sections
    * We need to find the size of each section in acres

    To find the size of each section, we need to divide the total area by the number of sections:
    * Total area = 1927 acres
    * Number of sections = 47
    * Size of each section = 1927 acres / 47 sections
    * Size of each section = <<1927 / 47 = 41>> 41 acres

    ### Answer: 41 acres

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The city park covers an area of 1927 acres
    * The area is now divided into 411 equal sections
    * We need to find the size of each new section in acres

    To find the size of each new section, we need to divide the total area by the new number of sections:
    * Total area = 1927 acres
    * New number of sections = 411
    * Size of each new section = 1927 acres / 411 sections
    * Size of each new section = <<1927 / 411 = 4.69>> 4.69 acres

    ### Answer: 4.69 acres

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The truck rental company has a total of 744 trucks
    * The trucks are distributed evenly among 24 branches
    * To find the number of trucks each branch has, we need to divide the total number of trucks by the number of branches

    Calculation:
    * Total number of trucks: 744
    * Number of branches: 24
    * Number of trucks per branch = 744 / 24 = 31

    Therefore, 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The truck rental company now has a total of 6028 trucks
    * The trucks are still distributed evenly among 24 branches
    * To find the number of trucks each branch has, we need to divide the total number of trucks by the number of branches

    Calculation:
    * Total number of trucks: 6028
    * Number of branches: 24
    * Number of trucks per branch = 6028 / 24 = 251

    Therefore, 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The farmer has 2820 oranges
    2) He wants to distribute them equally into 60 boxes
    3) To find the number of oranges in each box, we divide the total number of oranges by the number of boxes:
    2820 oranges / 60 boxes = 47 oranges per box

    ### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The treasure chest contains 7280 gold coins
    * The coins are evenly distributed in 91 bags
    * To find the number of coins in each bag, we need to divide the total number of coins by the number of bags
    * 7280 coins / 91 bags = <<7280/91=80>>80 coins per bag

    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The treasure chest contains 5857 gold coins
    * The coins are evenly distributed in 91 bags
    * To find the number of coins in each bag, we need to divide the total number of coins by the number of bags
    * 5857 coins / 91 bags = <<5857/91=64.4>>64.4 coins per bag

    Since we can't have a fractional number of coins per bag, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The soap factory produced 1980 bars of soap
    * They used 20 equal-sized molds to produce these bars
    * To find the number of soap bars produced by each mold, we need to divide the total number of bars by the number of molds

    Calculation:
    * Total number of bars: 1980
    * Number of molds: 20
    * Number of bars produced by each mold = 1980 / 20 = 99

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The soap factory produced 9741 bars of soap
    * They used the same 20 equal-sized molds to produce these bars
    * To find the number of soap bars produced by each mold, we need to divide the total number of bars by the number of molds

    Calculation:
    * Total number of bars: 9741
    * Number of molds: 20
    * Number of bars produced by each mold = 9741 / 20 = 487.05

    Since we can't have a fractional number of bars produced by each mold, we need to round the answer to the nearest whole number.

    ### Answer: 487

Expected answer: 9741/20

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The mountain is 1457 meters high
    * The mountain consists of 47 equally tall layers of rock
    * We need to find the height of each layer of rock

    To find the height of each layer, we need to divide the total height of the mountain by the number of layers:
    * 1457 meters / 47 layers = <<1457 / 47 = 31>> 31 meters per layer

    ### Answer: 31 meters

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The mountain's height is now 8729 meters
    * The mountain still has 47 equally tall layers of rock
    * We need to find the height of each layer of rock

    To find the height of each layer, we need to divide the total height of the mountain by the number of layers:
    * 8729 meters / 47 layers = <<8729 / 47 = 185.7>> 185.7 meters per layer

    ### Answer: 185.7 meters

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The total length of the rope is 4230 meters
    * The rope is divided evenly into 90 pieces
    * To find the length of each piece, we need to divide the total length by the number of pieces

    Calculation:
    * Total length of rope: 4230 meters
    * Number of pieces: 90
    * Length of each piece = 4230 meters / 90 pieces = <<4230 / 90 = 47>> 47 meters

    ### Answer: 47 meters

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) We know that the forest contains 2508 trees.
    2) The forest is evenly distributed over 38 hectares of land.
    3) To find the number of trees per hectare, we need to divide the total number of trees by the total number of hectares.
    4) 2508 trees / 38 hectares = <<2508/38=66>>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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) We know that there are 2508 animals living on a 1417-hectare terrain.
    2) The animals are evenly dispersed throughout the forest.
    3) To find the number of animals per hectare, we need to divide the total number of animals by the total number of hectares.
    4) 2508 animals / 1417 hectares = <<2508/1417=1.77>>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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The backpacker plans a thru-hike of 4526 miles
    * The backpacker intends to walk the same distance each day for 62 days

    To find the distance the backpacker walks each day, we need to divide the total distance by the number of days:
    * Total distance: 4526 miles
    * Number of days: 62 days
    * Distance per day = 4526 miles / 62 days = <<4526/62=73>>73 miles

    ### Answer: 73 miles

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The backpacker plans a shorter journey of 2714 miles
    * The backpacker still intends to walk the same distance each day for 62 days

    To find the new distance the backpacker plans to walk each day, we need to divide the total distance by the number of days:
    * Total distance: 2714 miles
    * Number of days: 62 days
    * Distance per day = 2714 miles / 62 days = <<2714/62=43.77>>43.77 miles

    ### Answer: 43.77 miles

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The alien sends a pulsating signal every 925 seconds
    * The signal is organized into 37 equal pulses

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

    925 seconds / 37 pulses = <<925/37=25>>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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The alien sends a pulsating signal every 9094 seconds
    * The signal is organized into 37 equal pulses

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

    9094 seconds / 37 pulses = <<9094/37=246>>246 seconds per pulse

    ### Answer: 246 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?

Claude-3 Haiku:

    Reasoning:
    * The dragon collected a total of 3010 jewels over 43 years.
    * To find the number of jewels collected each year, we need to divide the total number of jewels by the number of years.
    * 3010 jewels / 43 years = <<3010/43=69.77>>69.77 jewels per year.

    Since we cannot have a fractional number of jewels, we need to round down to the nearest whole number.

    ### Answer: 69 jewels per year.

Expected answer: 70

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The alien spaceship sends out a pattern of 6699 signals over the course of 87 Earth days.
    * The spaceship sends the same number of signals each day.

    To find the number of signals sent daily, we need to divide the total number of signals by the number of days.

    Total number of signals: 6699
    Number of days: 87

    Number of signals sent daily = 6699 / 87
    = 77

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The alien spaceship sends out a pattern of 6699 signals over the course of 2715 Earth days.
    * The spaceship sends the same number of signals each day.

    To find the number of signals sent daily, we need to divide the total number of signals by the number of days.

    Total number of signals: 6699
    Number of days: 2715

    Number of signals sent daily = 6699 / 2715
    = 2.47 (rounded to 2 decimal places)

    ### 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The water tank contains 2016 liters of water
    * The tank is designed to provide enough water for 28 days without replenishment

    To find the amount of water provided per day, we need to divide the total amount of water by the number of days:
    * 2016 liters / 28 days = <<2016/28=72>>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?

Claude-3 Haiku:

    Okay, let's think this through step-by-step:
    * In the previous problem, the water tank contained 2016 liters of water and provided 72 liters per day for 28 days.
    * Now, the water tank is filled with 8329 liters of water.
    * The duration of usage is still 28 days, since that is the design of the tank.
    * To find the amount of water provided per day, we need to divide the total amount of water by the number of days:
    * 8329 liters / 28 days = <<8329/28=297.5>>297.5 liters per day

    ### Answer: 297.5 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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The toy company produced 4686 stuffed animals
    * These 4686 stuffed animals were evenly distributed among 66 stores
    * We need to find how many stuffed animals each store received

    To find the number of stuffed animals each store received, we need to divide the total number of stuffed animals by the number of stores.

    4686 stuffed animals / 66 stores = <<4686/66=71>>71 stuffed animals per store

    ### 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?

Claude-3 Haiku:

    Okay, let's work this out step-by-step:
    * The toy company produced 4686 stuffed animals
    * These 4686 stuffed animals need to be distributed evenly among 1023 stores
    * To find the number of stuffed animals each store would receive, we divide the total number of stuffed animals by the number of stores

    4686 stuffed animals / 1023 stores = <<4686/1023=4.58>>4.58 stuffed animals per store

    However, since we cannot distribute partial stuffed animals, the final answer must be rounded down to the nearest whole number.

    ### Answer: 4 stuffed animals per store

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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The toy car company has 910 toy cars ready for selling.
    2) They want to pack the cars in boxes of 10.
    3) To find the number of boxes needed, we need to divide the total number of cars by the number of cars per box.
    4) 910 cars / 10 cars per box = 91 boxes.

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The toy car company has 910 toy cars ready for selling.
    2) They want to pack the cars in larger boxes that can hold 538 cars each.
    3) To find the number of boxes needed, we need to divide the total number of cars by the number of cars per box.
    4) 910 cars / 538 cars per box = 1.69 boxes.
    5) Since we can't have a fractional number of boxes, we need to round up to the nearest whole number.
    6) 1.69 rounded up to the nearest whole number is 2.

    ### Answer: 2

Expected answer: 455/269

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Reasoning:
    * The factory produces 1333 bottles of juice
    * The bottles are packed evenly into 43 boxes
    * To find the number of bottles in each box, we need to divide the total number of bottles by the number of boxes

    Calculation:
    * 1333 bottles / 43 boxes = <<1333/43=31>>31 bottles per 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?

Claude-3 Haiku:

    Reasoning:
    * The factory now produces 423 bottles of juice
    * The bottles are still packed evenly into 43 boxes
    * To find the number of bottles in each box, we need to divide the total number of bottles by the number of boxes

    Calculation:
    * 423 bottles / 43 boxes = <<423/43=9.8>>9.8 bottles per box

    Since we cannot have a fractional number of bottles per box, we need to round down to the nearest whole number.

    ### 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?

Claude-3 Haiku:

    Reasoning:
    * The benefactor donated 741 gifts
    * These gifts were evenly divided between 13 shelters
    * To find the number of gifts each shelter received, we need to divide the total number of gifts by the number of shelters

    Calculation:
    * 741 gifts / 13 shelters = 57 gifts per shelter

    ### 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?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) The benefactor originally donated 741 gifts, which were evenly divided between 13 shelters. So each shelter received 741 / 13 = 57 gifts.
    2) The benefactor then increased the number of gifts to 3697.
    3) The additional gifts (3697 - 741 = 2956) were also evenly divided between the 13 shelters.
    4) To find the number of additional gifts each shelter received, we divide the additional gifts by the number of shelters: 2956 / 13 = 227.

    5) Therefore, the total number of gifts each shelter received is the original 57 gifts plus the additional 227 gifts, which is:
    57 + 227 = 284 gifts per shelter.

    ### Answer: 284

Expected answer: 3697/13

Correct? No

🔗 Problem

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

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The child made a giant snowball with a volume of 528 cubic feet.
    2) The child then used the same amount of snow to make 16 smaller snowballs.
    3) To find the volume of each smaller snowball, we need to divide the total volume of the giant snowball (528 cubic feet) by the number of smaller snowballs (16).
    4) 528 cubic feet / 16 = 33 cubic feet.

    ### Answer: 33 cubic feet.

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?

Claude-3 Haiku:

    Okay, let's work this out step-by-step:

    1) The child made a new giant snowball with a volume of 3327 cubic feet.
    2) The child then used the same amount of snow to make 16 smaller snowballs.
    3) To find the volume of each smaller snowball, we need to divide the total volume of the giant snowball (3327 cubic feet) by the number of smaller snowballs (16).
    4) 3327 cubic feet / 16 = 207.9375 cubic feet.

    ### Answer: 207.9375 cubic feet.

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?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The slide is 728 inches long
    * The waves are evenly spaced every 56 inches

    To find the number of waves, we need to divide the total length of the slide by the spacing between the waves.

    728 inches / 56 inches per wave = <<728/56=13>>13 waves

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

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

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The new length of the slide is 3769 inches
    * The waves are still placed every 56 inches

    To find the number of waves, we need to divide the total length of the slide by the spacing between the waves.

    3769 inches / 56 inches per wave = <<3769/56=67.3>>67.3 waves

    Since we can't have a fractional number of waves, we need to round down to the nearest whole number.

    Therefore, the redesigned slide will have <<67>> waves.

    ### Answer: 67

Expected answer: 3769/56

Correct? No