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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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