Problem: There are 535 fish in a large tank and a shark eats 461 of them in one sitting. If the shark continues this pattern and only eats when there are 461 or more fish to consume, how many fish will be leftover after its dinner?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 535 fish in the large tank initially.
2) The shark eats 461 of them in one sitting.
3) This leaves 535 - 461 = 74 fish remaining in the tank.
4) The shark will only eat again when there are 461 or more fish to consume.
5) Since there are only 74 fish left, the shark will not eat again.
6) Therefore, the number of fish leftover after the shark's dinner is 74.

### Answer: 74

Expected answer: 74

Correct? Yes

Problem: A baker baked a total of 928 cookies. He decided to distribute equal amounts of cookies to 186 orphanages. After giving out as many entire sets of cookies as possible to each orphanage, how many cookies does the baker have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The baker baked a total of 928 cookies.
2) He decided to distribute equal amounts of cookies to 186 orphanages.
3) We need to find out how many cookies each orphanage will receive, and then how many cookies are left over.

To find how many cookies each orphanage will receive, we divide the total number of cookies by the number of orphanages:
* 928 cookies / 186 orphanages = 5 cookies per orphanage

Now, we can multiply the number of cookies per orphanage by the number of orphanages to find the total number of cookies distributed:
* 5 cookies per orphanage x 186 orphanages = 930 cookies distributed

Finally, we can find the number of cookies left over by subtracting the total cookies distributed from the total cookies baked:
* 928 cookies baked - 930 cookies distributed = -2 cookies left over

### Answer: 0

Expected answer: 184

Correct? No

Problem: A pizza store has 975 slices of pizza ready to serve. If each pizza box can contain 196 slices, how many left over slices will there be after all the pizza boxes are full?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The pizza store has 975 slices of pizza ready to serve.
2) Each pizza box can contain 196 slices.
3) To find the number of full pizza boxes, we divide the total number of slices (975) by the number of slices per box (196):
975 ÷ 196 = 4 full pizza boxes with 187 slices left over.

### Answer: 187

Expected answer: 191

Correct? No

Problem: A wizard casts a spell to summon 932 magical stones. Each powerful creature he summons requires 193 stones. After summoning several creatures, how many stones will the wizard have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The wizard casts a spell to summon 932 magical stones.
2) Each powerful creature he summons requires 193 stones.
3) We need to find out how many stones the wizard will have left after summoning several creatures.

To do this, we need to figure out how many creatures the wizard can summon with the 932 stones.

We can do this by dividing the total number of stones (932) by the number of stones required per creature (193):
932 ÷ 193 = 4.83

Since we can't summon a fraction of a creature, we'll round down to 4 creatures.

Now we can calculate the number of stones used by the 4 creatures:
4 creatures x 193 stones per creature = 772 stones used

Finally, we can calculate the number of stones the wizard will have left:
932 stones - 772 stones used = 160 stones left

### Answer: 160

Expected answer: 160

Correct? Yes

Problem: A builder has a job to install 660 square foot tiles in a house. Each tile can cover 335 square feet. After installing tiles evenly across the available space, how many square feet will the last tile need to cover?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The builder has to install 660 square feet of tiles
* Each tile can cover 335 square feet
* The tiles are installed evenly across the available space

To find the square feet the last tile needs to cover, we need to first find out how many full tiles can be installed.

We can do this by dividing the total square feet (660) by the square feet each tile can cover (335):
* 660 / 335 = 1.97 tiles

Since we can't have a partial tile, we round down to 1 full tile.

Now, we can find the remaining square feet that the last tile needs to cover by subtracting the square feet of the full tile from the total square feet:
* 660 - (1 * 335) = 325 square feet

### Answer: 325 square feet

Expected answer: 325

Correct? Yes

Problem: A juice company produced 473 gallons of juice. If the company bottles the juice in 22-gallon containers, how many gallons of juice will be left after filling up all the containers?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The juice company produced 473 gallons of juice.
2) The company bottles the juice in 22-gallon containers.
3) To find how many 22-gallon containers can be filled, we divide the total gallons of juice (473) by the size of each container (22):
473 gallons / 22 gallons per container = 21.5 containers
4) Since we can't have a partial container, we round down to 21 containers.
5) Each container holds 22 gallons, so 21 containers hold 21 * 22 = 462 gallons.
6) The total gallons of juice produced was 473, so the amount of juice left over is:
473 gallons - 462 gallons = 11 gallons.

### Answer: 11 gallons

Expected answer: 11

Correct? Yes

Problem: A toy factory produced 979 toy cars in a day. If they packed these cars into boxes, each containing 108 cars, how many toy cars will be left unpacked at the end of the day?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The toy factory produced 979 toy cars in a day.
2) They packed these cars into boxes, each containing 108 cars.
3) To find the number of boxes, we divide the total number of cars (979) by the number of cars per box (108):
979 / 108 = 9 boxes with 1 car left over.
4) Therefore, the number of toy cars left unpacked at the end of the day is 1.

### Answer: 1

Expected answer: 7

Correct? No

Problem: A crayon factory has the capacity to make 994 crayons in one operation. However, each box only holds 425 crayons. If they operate at full capacity, how many crayons will be left out of the boxes after the operation?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The crayon factory has the capacity to make 994 crayons in one operation.
* Each box can hold 425 crayons.
* We need to find how many crayons will be left out of the boxes after the operation.

First, we need to calculate how many boxes can be filled with the 994 crayons:
* 994 crayons / 425 crayons per box = 2.34 boxes
* Since we can't have a partial box, we round down to 2 boxes.

Now, we can calculate how many crayons will be in the 2 boxes:
* 2 boxes x 425 crayons per box = 850 crayons

Finally, we can calculate how many crayons will be left out of the boxes:
* 994 crayons - 850 crayons = 144 crayons

### Answer: 144

Expected answer: 144

Correct? Yes

Problem: A wildlife reserve has 740 tigers. The reserve is divided into different zones, and each zone can only hold up to 696 tigers. If tigers are distributed evenly among the zones, how many tigers will be left in the last zone?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The wildlife reserve has 740 tigers total.
2) Each zone can hold up to 696 tigers.
3) The tigers are distributed evenly among the zones.

To find the number of tigers in the last zone, we need to first find out how many zones there are.

We can do this by dividing the total number of tigers (740) by the maximum number of tigers per zone (696):
740 / 696 = 1.06 zones

Since we can't have a fractional zone, we round up to 2 zones.

Now, we can calculate the number of tigers in the first zone:
696 tigers

And the number of tigers in the second (last) zone:
740 - 696 = 44 tigers

### Answer: 44

Expected answer: 44

Correct? Yes

Problem: A hat shop makes 830 hats every week. In order to make special edition boxes, the shop plans to put 421 hats in each box. If all the hats are evenly distributed among the boxes, how many hats will be left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The hat shop makes 830 hats every week.
2) They plan to put 421 hats in each special edition box.
3) We need to find out how many hats will be left over after evenly distributing the hats among the boxes.

First, let's find out how many boxes they can fill with the 830 hats:
* 830 hats / 421 hats per box = 1.97 boxes
* Since we can't have a fractional box, we'll round down to 1 box.

Now, let's calculate how many hats will be in the 1 box:
* 1 box x 421 hats per box = 421 hats

Finally, we can calculate the number of hats left over:
* 830 hats - 421 hats = 409 hats left over

### Answer: 409

Expected answer: 409

Correct? Yes

Problem: There are 871 fish in a lake. A fisherman catches 575 fish every month. If the fish repopulate at the same rate that the fisherman is depleting them, how many fish will be left after a month?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* There are 871 fish in the lake initially
* The fisherman catches 575 fish every month
* The fish repopulate at the same rate that the fisherman is depleting them

So, after the first month:
* The fisherman catches 575 fish
* But the fish also repopulate by 575 fish
* Therefore, the total number of fish in the lake remains the same at 871

### Answer: 871

Expected answer: 296

Correct? No

Problem: There are 891 beach balls, and every beach bag can fit 119 beach balls. If all the beach balls are evenly placed into the bags, how many beach balls will not fit and left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* There are 891 beach balls
* Each beach bag can fit 119 beach balls
* We need to find how many beach balls will not fit and be left over

First, let's calculate how many beach bags are needed to fit all 891 beach balls:
* 891 beach balls / 119 beach balls per bag = 7.49 bags
* Since we can't have a fraction of a bag, we need to round up to the nearest whole number
* So, we need 8 beach bags

Now, let's calculate how many beach balls will be in the 8 bags:
* 8 bags x 119 beach balls per bag = 952 beach balls

Finally, we can calculate the number of beach balls that will be left over:
* 952 beach balls - 891 beach balls = 61 beach balls

### Answer: 61

Expected answer: 58

Correct? No

Problem: There are 544 stars in a particular constellation. These stars are grouped into smaller clusters of 446 stars each. If these clusters are evenly split, how many stars will remain ungrouped?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 544 stars in the constellation.
2) The stars are grouped into smaller clusters of 446 stars each.
3) We need to find how many stars will remain ungrouped.

First, let's calculate how many clusters can be formed from the 544 stars:
* 544 stars / 446 stars per cluster = 1.22 clusters
* Since we can't have a fraction of a cluster, we round down to 1 cluster.

Now, let's calculate how many stars are in the 1 cluster:
* 1 cluster x 446 stars per cluster = 446 stars

Finally, we can calculate the number of stars that remain ungrouped:
* 544 stars - 446 stars = 98 stars

### Answer: 98

Expected answer: 98

Correct? Yes

Problem: A manufacturer produces 805 socks in one shift. They are packaged into sets of 132 each. After the packaging, how many socks will remain unpackaged?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The manufacturer produces 805 socks in one shift.
2) The socks are packaged into sets of 132 each.
3) To find the number of socks that remain unpackaged, we need to divide the total number of socks (805) by the number of socks in each package (132).
4) 805 / 132 = 6 with a remainder of 17.
5) This means that 6 full packages of 132 socks each were created, and 17 socks remain unpackaged.

### Answer: 17

Expected answer: 13

Correct? No

Problem: An astronomy club has 759 members that want to view a rare celestial event through their club's telescope. However, the telescope can only handle 228 people viewing the event each night. If they distribute the viewing evenings evenly amongst all members, how many people will view the event on the final night?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The astronomy club has 759 members that want to view the celestial event
* The telescope can only handle 228 people viewing the event each night
* The club wants to distribute the viewing evenings evenly amongst all members

First, we need to calculate how many viewing nights are required to accommodate all 759 members:
* 759 members / 228 people per night = 3.33 nights
* Since we can't have a fractional night, we round up to 4 nights

Now, we can calculate how many people will view the event on the final night:
* 759 total members - (3 nights * 228 people per night) = 75 people on the final night

### Answer: 75

Expected answer: 75

Correct? Yes

Problem: A postman has to deliver 891 letters. Each mailbox can only hold 616 letters. If he puts equal numbers of letters in each mailbox, how many letters will remain in the last mailbox?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The postman has to deliver 891 letters total.
2) Each mailbox can only hold 616 letters.
3) The postman will put an equal number of letters in each mailbox.

To find the number of letters that will remain in the last mailbox, we need to first find out how many mailboxes the postman will need.

We can do this by dividing the total number of letters (891) by the maximum capacity of each mailbox (616):
891 / 616 = 1.45

Since we can't have a fractional number of mailboxes, we need to round up to the nearest whole number. This means the postman will need 2 mailboxes.

Now, we can calculate the number of letters that will go in each mailbox:
891 letters / 2 mailboxes = 445.5 letters per mailbox

Since we can't have a fractional number of letters, we need to round down to the nearest whole number. This means each mailbox will hold 445 letters.

Finally, we can calculate the number of letters that will remain in the last mailbox:
891 total letters - (2 mailboxes x 445 letters per mailbox) = 1 letter

### Answer: 1

Expected answer: 275

Correct? No

Problem: A total of 941 flies are jumping around the pond. Every time a frog jumps, it eats exactly 258 flies. After a series of jumps where each jump the frog eats the same number of flies, how many flies are left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* There are a total of 941 flies jumping around the pond
* Every time a frog jumps, it eats exactly 258 flies
* After a series of jumps, we want to know how many flies are left

To find the number of flies left, we need to determine how many times the frog jumped and how many flies it ate in total.

Let's start by dividing the total number of flies (941) by the number of flies the frog eats per jump (258):
* 941 / 258 = 3.64

This tells us that the frog jumped approximately 3.64 times. Since we can't have a fractional number of jumps, we'll round down to 3 jumps.

Now, we can calculate the total number of flies the frog ate:
* 3 jumps x 258 flies per jump = 774 flies

Finally, we can subtract the total number of flies the frog ate from the original 941 flies to find the number of flies left:
* 941 - 774 = 167 flies

### Answer: 167

Expected answer: 167

Correct? Yes

Problem: A large park has a capacity of 991 spaces for cars to park. If all the spaces are evenly distributed between 66 rows, how many spare spaces will be there in the last row after max spaces are filled?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The park has a capacity of 991 spaces for cars to park.
2) The spaces are evenly distributed between 66 rows.
3) To find the number of spaces in each row, we divide the total number of spaces (991) by the number of rows (66):
991 ÷ 66 = 15.015
4) Since we can't have a fractional number of spaces, we round down to the nearest whole number, which is 15 spaces per row.
5) Now, to find the number of spare spaces in the last row, we multiply the number of rows (66) by the number of spaces per row (15), which gives us 990 total spaces.
6) The total number of spaces (990) is less than the total capacity (991), so the number of spare spaces in the last row is 991 - 990 = 1.

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: There are 193 liters of water that need to be divided evenly among 167 water bottles. If each bottle holds the same amount of water, how many liters overflows and can't be distributed to the bottles?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 193 liters of water that need to be divided evenly among 167 water bottles.
2) To find the amount of water in each bottle, we divide the total water (193 liters) by the number of bottles (167):
193 liters / 167 bottles = 1.155 liters per bottle
3) Since we can't have a fractional amount of water in each bottle, we need to round down to the nearest whole number, which is 1 liter per bottle.
4) So each bottle will get 1 liter of water.
5) The total amount of water distributed to the 167 bottles is 167 liters.
6) The amount of water that overflows and can't be distributed is 193 liters - 167 liters = 26 liters.

### Answer: 26 liters

Expected answer: 26

Correct? Yes

Problem: A dragon lays 996 jewel eggs in rows. Each row can hold 319 eggs. If the dragon distributes the eggs evenly among the rows, how many eggs would be left over to be put in the last row?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The dragon lays 996 jewel eggs
* Each row can hold 319 eggs
* The dragon distributes the eggs evenly among the rows

To find the number of eggs left over in the last row, we need to:
1. Divide the total number of eggs (996) by the number of eggs per row (319) to find the number of complete rows.
2. Multiply the number of complete rows by the number of eggs per row to find the total number of eggs in the complete rows.
3. Subtract the total number of eggs in the complete rows from the total number of eggs to find the number of eggs left over.

Step 1: 996 ÷ 319 = 3.12 complete rows
Since we can't have a partial row, we round down to 3 complete rows.

Step 2: 3 rows × 319 eggs/row = 957 total eggs in the complete rows

Step 3: 996 total eggs - 957 eggs in complete rows = 39 eggs left over

### Answer: 39

Expected answer: 39

Correct? Yes

Problem: A lamp manufacturer produces 691 bulb units. If a pack includes 205 bulbs, how many bulbs would be left unpacked after filling as many packs as possible?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The manufacturer produces 691 bulb units.
2) Each pack includes 205 bulbs.
3) We need to find how many packs can be filled with the 691 bulbs, and how many bulbs would be left unpacked.

To find the number of packs that can be filled, we divide the total number of bulbs (691) by the number of bulbs per pack (205):
691 ÷ 205 = 3 packs with 76 bulbs left over.

Therefore, the number of bulbs left unpacked after filling as many packs as possible is 76.

### Answer: 76

Expected answer: 76

Correct? Yes

Problem: On a farm, there are 330 bales of hay to be stored evenly in barns. Each barn can store up to 259 bales. After filling up the barns as evenly as possible, how many bales of hay will be left for the last barn?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 330 bales of hay to be stored.
2) Each barn can store up to 259 bales.
3) We need to fill up the barns as evenly as possible.

To find the number of bales left for the last barn, we first need to determine how many barns are needed.

We can do this by dividing the total number of bales (330) by the maximum capacity of each barn (259):
330 / 259 = 1.27

Since we can't have a fraction of a barn, we round up to the nearest whole number, which gives us 2 barns.

Now we can calculate how many bales will be in each of the 2 barns:
330 bales / 2 barns = 165 bales per barn

So the first 2 barns will each hold 165 bales.

Finally, to find the number of bales left for the last barn, we subtract the total number of bales in the first 2 barns from the total number of bales:
330 bales - (165 bales + 165 bales) = 0 bales

### Answer: 0

Expected answer: 71

Correct? No

Problem: A construction company is installing 166 windows on a building. They have determined that one installation team can install 137 windows per day. If all windows are equally distributed amongst teams each day, how many windows will remain for the team to install on the next day?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The construction company is installing 166 windows on a building
* One installation team can install 137 windows per day
* The windows are equally distributed amongst teams each day

To find the number of windows that will remain for the team to install on the next day, we need to first find out how many windows can be installed in one day.

Since the windows are equally distributed amongst teams, we can divide the total number of windows (166) by the number of windows one team can install per day (137):
* 166 / 137 = 1.21 teams

This means that it will take approximately 2 teams to install all the windows.

Now, we can calculate the number of windows that will be installed on the first day:
* 137 windows per team x 2 teams = 274 windows

Finally, we can find the number of windows that will remain for the team to install on the next day:
* 166 total windows - 274 windows installed on the first day = -108 windows

Since we cannot have a negative number of windows remaining, we can conclude that all the windows will be installed on the first day, and there will be no windows left for the next day.

### Answer: 0

Expected answer: 29

Correct? No

Problem: There are 533 campers coming for a camping event at a park. Each tent can host 445 people. If the campers are evenly distributed among the tents, how many campers will be left over after all the tents are filled?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* There are 533 campers coming to the event
* Each tent can host 445 people
* The campers need to be evenly distributed among the tents

First, we need to find out how many tents are available. To do this, we divide the total number of campers by the capacity of each tent:
* 533 campers / 445 people per tent = 1.2 tents

Since we can't have a fraction of a tent, we round up to the nearest whole number, which is 2 tents.

Now, we can calculate how many campers each tent can hold:
* 2 tents x 445 people per tent = 890 total campers

Finally, we can find the number of campers left over by subtracting the total campers that can be accommodated from the original 533 campers:
* 533 campers - 890 campers = -357 campers

Since we can't have a negative number of campers, this means that there will be 0 campers left over after all the tents are filled.

### Answer: 0

Expected answer: 88

Correct? No

Problem: There are 999 seashells collected from a beach. They are grouped in beach-themed souvenir sets, each containing 474 shells. After grouping, how many seashells will be left without a set?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 999 seashells collected from the beach.
2) Each beach-themed souvenir set contains 474 shells.
3) To find how many sets can be made, we divide the total number of shells (999) by the number of shells in each set (474):
999 ÷ 474 = 2.1 sets
4) Since we can't have a partial set, we round down to 2 complete sets.
5) Each set contains 474 shells, so 2 sets contain 2 * 474 = 948 shells.
6) The remaining shells that are not part of a set are 999 - 948 = 51 shells.

### Answer: 51

Expected answer: 51

Correct? Yes

Problem: A tailor has 366 meters of fabric. If each skirt requires 160 meters of fabric, how many meters of fabric will be left after making as many skirts as possible?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The tailor has 366 meters of fabric
* Each skirt requires 160 meters of fabric
* We need to find out how many skirts the tailor can make with the 366 meters of fabric, and then calculate the remaining fabric

First, let's find out how many skirts the tailor can make:
* 366 meters of fabric / 160 meters per skirt = 2.2875 skirts
* Since we can't make a fraction of a skirt, we round down to 2 skirts

Now, let's calculate the remaining fabric:
* 366 meters of fabric - (2 skirts x 160 meters per skirt) = 46 meters of fabric remaining

### Answer: 46 meters

Expected answer: 46

Correct? Yes

Problem: A toymaker made 993 dolls to be packed in boxes for shipment. Each box can hold 327 dolls. How many dolls will she have left once all the boxes are packed to their capacities?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The toymaker made 993 dolls
2) Each box can hold 327 dolls
3) We need to find out how many dolls will be left over once all the boxes are packed to their capacities

First, let's calculate how many boxes are needed to hold all 993 dolls:
* 993 dolls / 327 dolls per box = 3.04 boxes
* Since we can't have a fractional box, we need to round up to 4 boxes

Now, let's calculate how many dolls will be in the 4 boxes:
* 4 boxes x 327 dolls per box = 1,308 dolls

Finally, we can calculate the number of dolls left over:
* 993 dolls - 1,308 dolls = -315 dolls

Since we can't have a negative number of dolls, the answer is that there will be 0 dolls left over.

### Answer: 0

Expected answer: 12

Correct? No

Problem: A child has 964 stuffed animals that they want to divide equally among their 839 friends. If they distribute the stuffed animals evenly, how many will the child have left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The child has 964 stuffed animals.
2) The child wants to divide the stuffed animals equally among their 839 friends.
3) To find the number of stuffed animals each friend will receive, we divide the total number of stuffed animals (964) by the number of friends (839):
964 ÷ 839 = 1.15 stuffed animals per friend
4) Since we can't give a fraction of a stuffed animal, we need to round down to the nearest whole number, which is 1 stuffed animal per friend.
5) So each friend will receive 1 stuffed animal.
6) To find the number of stuffed animals left over, we subtract the number of friends (839) from the total number of stuffed animals (964):
964 - 839 = 125 stuffed animals left over.

### Answer: 125

Expected answer: 125

Correct? Yes

Problem: A toy factory produces 369 teddy bears in a day. The bears are packaged in boxes and each box can hold 270 teddy bears. How many teddy bears will be left if all the teddy bears are evenly packed in the boxes?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The toy factory produces 369 teddy bears in a day
* Each box can hold 270 teddy bears
* We need to find how many teddy bears will be left if all the teddy bears are evenly packed in the boxes

First, let's calculate how many boxes are needed to hold all 369 teddy bears:
* 369 teddy bears / 270 teddy bears per box = 1.37 boxes
* Since we can't have a partial box, we need to round up to the nearest whole number
* So, 2 boxes are needed to hold all 369 teddy bears

Now, let's calculate how many teddy bears will be left over:
* 2 boxes x 270 teddy bears per box = 540 teddy bears
* 540 teddy bears - 369 teddy bears = 171 teddy bears left over

### Answer: 171

Expected answer: 99

Correct? No

Problem: A village has a yearly tradition of building snowmen. This year, the villagers make 804 snowballs to build their snowmen. Each snowman needs exactly 184 snowballs. After all snowmen are built, how many snowballs are left leftover?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The villagers made 804 snowballs total
* Each snowman requires 184 snowballs
* We need to find out how many snowballs are left over after building the snowmen

First, let's calculate how many snowmen can be built with the 804 snowballs:
* 804 snowballs / 184 snowballs per snowman = 4.37 snowmen
* Since we can't have a fraction of a snowman, we'll round down to 4 snowmen

Now, let's calculate how many snowballs were used to build the 4 snowmen:
* 4 snowmen x 184 snowballs per snowman = 736 snowballs used

Finally, we can calculate the number of snowballs left over:
* 804 total snowballs - 736 snowballs used = 68 snowballs left over

### Answer: 68

Expected answer: 68

Correct? Yes

Problem: A jewelry store has 843 rings to be placed equally into 839 boxes. If each box is filled, how many rings will be left over?

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) The jewelry store has 843 rings to be placed into 839 boxes.
2) We need to find how many rings will be placed in each box if they are distributed equally.
3) To do this, we divide the total number of rings (843) by the number of boxes (839).
4) 843 / 839 = 1.005 rings per box.
5) Since we can't have a fraction of a ring in each box, we need to round down to the nearest whole number.
6) 1.005 rounded down to the nearest whole number is 1.
7) So each box will contain 1 ring.
8) Now we need to find how many rings will be left over.
9) 843 rings - (839 boxes * 1 ring per box) = 843 - 839 = 4 rings left over.

### Answer: 4

Expected answer: 4

Correct? Yes

Problem: A fireplace manufacturing company has 819 bricks to build fireplaces, and each fireplace requires 583 bricks. If they build as many fireplaces as possible, how many bricks will they have left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The company has 819 bricks
* Each fireplace requires 583 bricks
* We need to find out how many fireplaces they can build with the 819 bricks, and then calculate the remaining bricks

First, let's find out how many fireplaces they can build:
* 819 bricks / 583 bricks per fireplace = 1.4 fireplaces
* Since we can't build a fraction of a fireplace, we'll round down to 1 fireplace

Now, let's calculate the remaining bricks:
* 819 bricks - (1 fireplace x 583 bricks per fireplace) = 236 bricks remaining

### Answer: 236

Expected answer: 236

Correct? Yes

Problem: A marshmallow factory produces 998 marshmallows per minute. However, the packaging machine can only hold 957 marshmallows at a time. What will be the number of marshmallows left un-packaged in a minute after all the packaging machines are filled?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The marshmallow factory produces 998 marshmallows per minute.
2) The packaging machine can only hold 957 marshmallows at a time.
3) To find the number of marshmallows left un-packaged, we need to subtract the number of marshmallows the packaging machine can hold from the total number of marshmallows produced in a minute.
4) 998 marshmallows produced - 957 marshmallows packaged = 41 marshmallows left un-packaged.

### Answer: 41

Expected answer: 41

Correct? Yes

Problem: There are 984 roses in the castle's garden. Princess likes to place 426 roses in every tribute for her loyal subjects. If she distributes roses evenly to create as many tributes as possible, how many roses will be left undistributed in the castle's garden?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 984 roses in the castle's garden.
2) Princess likes to place 426 roses in every tribute for her loyal subjects.
3) We need to find out how many tributes she can create with the 984 roses, and how many roses will be left undistributed.

To do this, we can divide the total number of roses (984) by the number of roses in each tribute (426):
984 ÷ 426 = 2.31

Since we can't have a fractional number of tributes, we need to round down to the nearest whole number, which is 2.

So, the Princess can create 2 tributes, each with 426 roses.
2 tributes x 426 roses per tribute = 852 roses distributed.

Now, we can find the number of roses left undistributed by subtracting the number of roses distributed (852) from the total number of roses (984):
984 - 852 = 132 roses left undistributed.

### Answer: 132

Expected answer: 132

Correct? Yes

Problem: A song has 334 words in it. If each line in the song has 23 words, how many words would be in the incomplete line at the end of the song?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The song has 334 words in total
* Each line in the song has 23 words
* To find the number of complete lines, we can divide the total words by the words per line:
  * 334 words / 23 words per line = 14.52 lines
* Since we can't have a partial line, we round down to 14 complete lines
* To find the number of words in the incomplete line, we take the total words and subtract the words in the complete lines:
  * 334 words - (14 lines * 23 words per line) = 334 - 322 = 12 words

### Answer: 12

Expected answer: 12

Correct? Yes

Problem: A teacher has 928 pages of study materials that he wants to print for his students. His printer can only print 336 pages in one go. After filling the printer a number of times, how many pages will he have left over to print?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The teacher has 928 pages of study materials
* The printer can only print 336 pages at a time
* We need to find out how many pages will be left over after the teacher has printed as many full batches of 336 pages as possible

First, let's calculate how many full batches of 336 pages the teacher can print:
* 928 pages / 336 pages per batch = 2.76 batches
* Since we can't print a fraction of a batch, we round down to 2 full batches

Now, let's calculate how many pages will be left over:
* 2 batches of 336 pages = 672 pages printed
* 928 pages total - 672 pages printed = 256 pages left over

### Answer: 256

Expected answer: 256

Correct? Yes

Problem: Scientists have spotted 972 sharks in an area. The scientists tag groups of 667 sharks each. How many sharks are left untagged after the scientists finish tagging as many complete groups as possible?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The scientists have spotted 972 sharks in the area.
2) The scientists tag groups of 667 sharks each.
3) We need to find how many sharks are left untagged after the scientists finish tagging as many complete groups as possible.

To do this, we first need to find out how many complete groups of 667 sharks can be tagged.
* 972 sharks / 667 sharks per group = 1.45 groups
* Since we can only have complete groups, we round down to 1 group.

Now we can calculate the number of sharks that have been tagged:
* 1 group x 667 sharks per group = 667 sharks tagged

Finally, we can calculate the number of sharks left untagged:
* 972 sharks - 667 sharks tagged = 305 sharks left untagged

### Answer: 305

Expected answer: 305

Correct? Yes

Problem: There are 686 blocks of cheese in the dairy shop. Each box can contain 349 blocks of cheese. If all the blocks of cheese are evenly distributed in the boxes, how many blocks of cheese would be left over after all the boxes are filled?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 686 blocks of cheese in the dairy shop.
2) Each box can contain 349 blocks of cheese.
3) We need to find out how many blocks of cheese would be left over after all the boxes are filled.

To do this, we first need to find out how many boxes can be filled with the 686 blocks of cheese.
* 686 blocks of cheese / 349 blocks per box = 1.97 boxes
* Since we can't have a fraction of a box, we round down to 1 box.

Now, we can calculate how many blocks of cheese will be in the 1 box:
* 1 box x 349 blocks per box = 349 blocks of cheese

Finally, we can calculate the number of blocks of cheese left over:
* 686 blocks of cheese - 349 blocks of cheese = 337 blocks of cheese left over

### Answer: 337

Expected answer: 337

Correct? Yes

Problem: There were 513 centimeters of snowfall recorded this winter. A snowplow can clear up to 170 centimeters of snow at a time. If the snowplow runs continuously, how many centimeters of snow will be left over after the final pass?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* There were 513 centimeters of snowfall recorded this winter.
* The snowplow can clear up to 170 centimeters of snow at a time.
* We need to find how many centimeters of snow will be left over after the final pass.

First, we need to calculate how many times the snowplow will need to pass to clear all the snow:
* 513 cm / 170 cm per pass = 3.02 passes
* Since we can't have a fractional pass, we round up to 4 passes.

Now, we can calculate the amount of snow left over after the final pass:
* 513 cm - (3 passes * 170 cm) = 3 cm

### Answer: 3 centimeters

Expected answer: 3

Correct? Yes

Problem: A compass maker has 661 needles to install in compasses. Each compass uses 510 needles. After installing as many full compasses as he can, how many needles will the compass maker have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The compass maker has 661 needles to install in compasses.
2) Each compass uses 510 needles.
3) We need to find out how many full compasses the compass maker can make with the 661 needles.
4) To do this, we divide the total number of needles (661) by the number of needles per compass (510):
661 ÷ 510 = 1.296
5) Since we can't make a partial compass, we round down to 1 full compass.
6) Now we need to find out how many needles are left over after making the 1 full compass.
7) 1 full compass uses 510 needles, so the number of needles left over is:
661 - 510 = 151 needles.

### Answer: 151

Expected answer: 151

Correct? Yes

Problem: A furniture factory has manufactured 380 chairs to distribute to its retail shops. Each shop can only hold 310 chairs in its storage. If the factory evenly distributes all the chairs to the shops, how many chairs will be left at the factory?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The furniture factory has manufactured 380 chairs.
2) Each retail shop can only hold 310 chairs in its storage.
3) The factory needs to evenly distribute all the chairs to the shops.

To find the number of chairs left at the factory, we need to determine how many shops can receive the chairs, and then calculate the remaining chairs.

Let's start by finding how many shops can receive the chairs:
* 380 chairs / 310 chairs per shop = 1.226 shops
* Since we can't have a fractional number of shops, we round down to 1 shop.

Now we can calculate the number of chairs that will be distributed to the 1 shop:
* 1 shop x 310 chairs per shop = 310 chairs distributed

Finally, we can calculate the number of chairs left at the factory:
* 380 chairs manufactured - 310 chairs distributed = 70 chairs left at the factory

### Answer: 70

Expected answer: 70

Correct? Yes

Problem: A farmer has gathered 929 tomatoes from his field. He plans to sell them in boxes, with 154 tomatoes in each box. After packing them evenly in boxes, how many tomatoes will be left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The farmer has 929 tomatoes
* He plans to sell them in boxes, with 154 tomatoes in each box
* We need to find out how many tomatoes will be left over after packing them evenly in boxes

First, let's calculate how many boxes the farmer can fill:
* 929 tomatoes / 154 tomatoes per box = 6.02 boxes
* Since we can't have a fractional box, we'll round down to 6 boxes

Now, let's calculate how many tomatoes will be in those 6 boxes:
* 6 boxes x 154 tomatoes per box = 924 tomatoes

Finally, we can calculate the number of tomatoes left over:
* 929 total tomatoes - 924 tomatoes in the boxes = 5 tomatoes left over

### Answer: 5

Expected answer: 5

Correct? Yes

Problem: A sporting goods store has 454 pairs of ice skates in total. The store distributes the skates evenly among 128 boxes. How many pairs of ice skates will be left over after all the boxes are filled up equally?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The store has 454 pairs of ice skates in total.
2) The store distributes the skates evenly among 128 boxes.
3) To find the number of pairs of skates in each box, we divide the total number of skates (454) by the number of boxes (128):
454 / 128 = 3.546875
4) Since we can't have a fractional number of skates per box, we need to round down to the nearest whole number. So each box will contain 3 pairs of skates.
5) To find the number of skates left over, we multiply the number of skates per box (3) by the number of boxes (128) to get the total number of skates that will be distributed:
3 * 128 = 384
6) Finally, we subtract the total number of distributed skates (384) from the original total (454) to get the number of skates left over:
454 - 384 = 70

### Answer: 70

Expected answer: 70

Correct? Yes

Problem: A windmill generates 506 units of power per day. Every day, a small village consumes power in increments of 385 units. At the end of the day, after the village has consumed as much power as it can in full increments, how much power is left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The windmill generates 506 units of power per day
* The village consumes power in increments of 385 units per day
* We need to find how much power is left over at the end of the day

First, let's calculate how many full increments of 385 units the village can consume from the 506 units generated:
* 506 units / 385 units per increment = 1.31 increments
* Since we can only consume full increments, the village can consume 1 increment of 385 units

Now, let's calculate the remaining power left over:
* Power generated: 506 units
* Power consumed: 1 increment of 385 units = 385 units
* Power left over: 506 units - 385 units = 121 units

### Answer: 121

Expected answer: 121

Correct? Yes

Problem: Superhero Blast Man has 338 energy units in his power cells. Each energy blast he fires uses 16 energy units. After using equal units of energy firing blasts, how many energy units will Blast Man have left in his power cells?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* Blast Man has 338 energy units in his power cells
* Each energy blast he fires uses 16 energy units
* He uses equal units of energy firing blasts

To find how many energy units Blast Man will have left, we need to determine how many blasts he can fire using the 338 energy units.

We can do this by dividing the total energy units (338) by the energy used per blast (16):
* 338 / 16 = 21.125 blasts

Since he uses equal units of energy, we can round down to 21 blasts.

Now, we can calculate the remaining energy units by multiplying the number of blasts (21) by the energy used per blast (16), and subtracting that from the total energy units (338):
* 338 - (21 * 16) = 338 - 336 = 2

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: A school district has 530 students who need to be transported and each school bus can carry 144 students. If all students are equally spread across the buses, how many students will be on the last school bus?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The school district has 530 students who need to be transported
* Each school bus can carry 144 students
* The students are to be equally spread across the buses

To find the number of students on the last school bus, we first need to determine how many buses are needed to transport all 530 students.

We can do this by dividing the total number of students (530) by the capacity of each bus (144):
* 530 / 144 = 3.68 buses

Since we can't have a fractional number of buses, we need to round up to the nearest whole number. This means we will need 4 buses.

Now, to find the number of students on the last bus, we can take the remaining students after the first 3 buses are filled:
* 530 - (3 * 144) = 530 - 432 = 98 students

Therefore, the last school bus will have 98 students.

### Answer: 98

Expected answer: 98

Correct? Yes

Problem: A wizard has 999 spells in his book. He tries to distribute them equally among 951 apprentice wizards but they don't divide evenly. How many spells will the wizard have left after giving out as many as he can to his apprentices?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The wizard has 999 spells in his book.
2) He wants to distribute them equally among 951 apprentice wizards.
3) To find how many spells each apprentice will get, we divide the total number of spells (999) by the number of apprentices (951):
999 / 951 = 1.0504 spells per apprentice
4) Since we can't have a fraction of a spell, the wizard will have to round down to the nearest whole number, which is 1 spell per apprentice.
5) So the wizard will give 1 spell to each of the 951 apprentices, which is 951 spells in total.
6) The wizard will have the remaining spells left over, which is 999 - 951 = 48 spells.

### Answer: 48

Expected answer: 48

Correct? Yes

Problem: A scooter manufacturing company has produced 767 scooters. Each delivery truck they use can carry 369 scooters. If they distribute the scooters evenly among the trucks, how many scooters will be left after all the trucks are loaded?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The company has produced 767 scooters.
2) Each delivery truck can carry 369 scooters.
3) We need to find out how many scooters will be left after all the trucks are loaded.

To do this, we need to find out how many trucks are needed to transport all 767 scooters.

We can do this by dividing the total number of scooters (767) by the capacity of each truck (369):
767 / 369 = 2.08 trucks

Since we can't have a fractional truck, we need to round up to the nearest whole number, which is 3 trucks.

Now that we know how many trucks are needed, we can calculate how many scooters will be left over:
Total scooters: 767
Scooters per truck: 369
Number of trucks: 3
Total scooters transported: 369 x 3 = 1107

Scooters left over: 767 - 1107 = -340

However, since we can't have a negative number of scooters left over, the answer is 0.

### Answer: 0

Expected answer: 29

Correct? No

Problem: There are 846 water droplets in a cloud. Each raindrop needs 722 droplets to form. If all droplets are used to form raindrops, how many droplets would be left unconverted in the cloud after reaching the maximum number of rain drops?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 846 water droplets in the cloud.
2) Each raindrop needs 722 droplets to form.
3) We need to find the maximum number of raindrops that can be formed from the 846 droplets.
4) To do this, we divide the total number of droplets (846) by the number of droplets needed per raindrop (722):
   846 / 722 = 1.17 raindrops
5) Since we can't have a fractional raindrop, we round down to the nearest whole number, which is 1 raindrop.
6) So the maximum number of raindrops that can be formed is 1.
7) Each raindrop requires 722 droplets, so the total number of droplets used to form the 1 raindrop is 722.
8) The number of droplets left unconverted in the cloud is the total droplets (846) minus the droplets used to form the raindrops (722):
   846 - 722 = 124 droplets.

### Answer: 124

Expected answer: 124

Correct? Yes

Problem: Unicorn Village, a magical place where 265 unicorns live, is divided into 146 equal sections where these magical creatures reside. If each section is occupied by an equal number of unicorns, how many unicorns will live in the last incomplete section?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) Unicorn Village has 265 unicorns in total.
2) The village is divided into 146 equal sections.
3) Each section is occupied by an equal number of unicorns.

To find the number of unicorns in the last incomplete section, we need to first find the number of unicorns in each complete section.

To do this, we divide the total number of unicorns (265) by the number of sections (146):
265 ÷ 146 = 1.82 unicorns per section

Since we can't have a fraction of a unicorn, we round down to the nearest whole number, which is 1 unicorn per section.

Now, we can calculate the number of unicorns in the last incomplete section by subtracting the number of unicorns in the complete sections from the total number of unicorns:
265 - (146 * 1) = 119 unicorns in the last incomplete section.

### Answer: 119

Expected answer: 119

Correct? Yes

Problem: In a game, there are 923 players waiting to enter a match. Only 383 players can enter a match at a time. If players enter matches evenly, how many players will be left waiting after filling all the matches?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* There are 923 players waiting to enter a match
* 383 players can enter a match at a time
* Players enter matches evenly

First, we need to calculate how many matches can be filled with 383 players each:
* 923 players / 383 players per match = 2.41 matches
* Since we can't have a partial match, we round down to 2 matches

So, 2 matches can be filled with 383 players each, which is 2 * 383 = 766 players.

Now, we need to calculate how many players will be left waiting after filling all the matches:
* 923 players - 766 players = 157 players

### Answer: 157

Expected answer: 157

Correct? Yes

Problem: A pirate ship has 923 cannonballs on board. They want to equally disperse them between 499 different crates. After evenly distributing them as much as possible, how many cannonballs will be left uncrated?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The pirate ship has 923 cannonballs on board.
2) They want to distribute these cannonballs evenly between 499 different crates.
3) To find how many cannonballs will be in each crate, we divide the total number of cannonballs (923) by the number of crates (499):
923 / 499 = 1.85
4) Since we can't have a fractional number of cannonballs per crate, we need to round down to the nearest whole number. So each crate will get 1 cannonball.
5) To find the total number of cannonballs that will be distributed into the crates, we multiply the number of crates (499) by the number of cannonballs per crate (1):
499 x 1 = 499
6) Finally, to find the number of cannonballs left uncrated, we subtract the total number of cannonballs distributed (499) from the original total (923):
923 - 499 = 424

### Answer: 424

Expected answer: 424

Correct? Yes

Problem: A kite store has 530 string spools to attach to their kites. They distribute them to 518 kites, each getting one string spool. After each kite gets a spool, how many spools are left in the store?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The kite store has 530 string spools
* They distribute one spool to each of 518 kites
* To find the number of spools left, we need to subtract the number of spools distributed from the total number of spools

Calculation:
* Total spools: 530
* Spools distributed: 518
* Spools left: 530 - 518 = 12

### Answer: 12

Expected answer: 12

Correct? Yes

Problem: A dairy farm produces 913 gallons of milk in a day. If every milk jug holds 39 gallons, how many gallons will be left over after all the jugs are filled?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The dairy farm produces 913 gallons of milk in a day
* Each milk jug holds 39 gallons
* We need to find how many gallons will be left over after all the jugs are filled

First, we need to find out how many jugs can be filled with the 913 gallons of milk:
* 913 gallons / 39 gallons per jug = 23.41 jugs

Since we can't have a partial jug, we'll round down to 23 jugs.

Now, we can calculate the total gallons that will be used to fill the 23 jugs:
* 23 jugs x 39 gallons per jug = 897 gallons

Finally, we can calculate the gallons left over:
* 913 gallons - 897 gallons = 16 gallons

### Answer: 16 gallons

Expected answer: 16

Correct? Yes

Problem: A doll seller received a shipment of 603 new dolls to put on the shelves. She arranged all the dolls in rows, with 369 dolls in each row. After filling up the rows as much as possible, how many dolls were left unarranged?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The seller received 603 new dolls
* She arranged them in rows, with 369 dolls in each row
* We need to find how many dolls were left unarranged

First, let's calculate how many rows she can fill with 369 dolls each:
* 603 dolls / 369 dolls per row = 1.63 rows
* Since we can't have a partial row, we round down to 1 full row

So, the seller can fill 1 row with 369 dolls.

Now, let's calculate how many dolls are left unarranged:
* Total dolls: 603
* Dolls in the 1 filled row: 369
* Dolls left unarranged: 603 - 369 = 234

### Answer: 234

Expected answer: 234

Correct? Yes

Problem: A jewelry maker has 850 beads to make necklaces. They use 631 beads for each necklace. After using as many beads as possible, how many beads will the jewelry maker have left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The jewelry maker has 850 beads total.
2) They use 631 beads for each necklace.
3) To find how many necklaces they can make, we divide the total beads by the beads per necklace:
   850 beads / 631 beads per necklace = 1.35 necklaces
4) Since we can't make a partial necklace, we round down to 1 necklace.
5) So the jewelry maker can make 1 necklace using 631 beads.
6) The number of beads left over is the total beads (850) minus the beads used for the necklace (631):
   850 beads - 631 beads = 219 beads left over.

### Answer: 219

Expected answer: 219

Correct? Yes

Problem: A gardener has 952 grapes that he wants to package into boxes. If each box can hold 380 grapes, how many grapes will be left after the gardener has filled as many boxes as possible?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The gardener has 952 grapes
2) Each box can hold 380 grapes
3) To find how many boxes the gardener can fill, we divide the total number of grapes by the capacity of each box:
   952 grapes / 380 grapes per box = 2.5 boxes
4) Since we can't have a partial box, we round down to 2 full boxes.
5) The number of grapes in the 2 full boxes is 2 * 380 = 760 grapes.
6) The number of grapes left over is 952 - 760 = 192 grapes.

### Answer: 192

Expected answer: 192

Correct? Yes

Problem: On a treasure map, there are 236 steps mentioned on the guide. If every 44 steps I make leads me to a significant place or clue, how many steps will be left after I reach the last significant place or clue?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The treasure map mentions 236 steps in total
* Every 44 steps leads to a significant place or clue
* We need to find how many significant places or clues there are, and then calculate the remaining steps

First, let's find the number of significant places or clues:
* 236 steps / 44 steps per clue = 5.36 clues
* Since we can't have a fractional clue, we round down to 5 clues

Now, let's calculate the total number of steps taken to reach the 5 clues:
* 5 clues x 44 steps per clue = 220 steps

Finally, we can calculate the remaining steps:
* 236 total steps - 220 steps taken = 16 steps remaining

### Answer: 16

Expected answer: 16

Correct? Yes

Problem: Sarah blew 932 bubbles using her new bubble machine. The machine is designed to form groups of 507 bubbles each before releasing them. After forming complete groups, how many bubbles does it make in its final, incomplete group?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) Sarah blew 932 bubbles in total.
2) The machine is designed to form groups of 507 bubbles each before releasing them.
3) To find the number of bubbles in the final, incomplete group, we need to first find how many complete groups the machine formed.
4) To do this, we divide the total number of bubbles (932) by the number of bubbles in each group (507):
932 ÷ 507 = 1 complete group, with a remainder of 425 bubbles.
5) Therefore, the final, incomplete group contains 425 bubbles.

### Answer: 425

Expected answer: 425

Correct? Yes

Problem: At the park, there are 931 kids who want to use the swings. Each swing set can accommodate 34 kids at a time. If all the swing sets are filled continuously, how many kids will be waiting for their turn after all the swing sets are occupied?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 931 kids who want to use the swings.
2) Each swing set can accommodate 34 kids at a time.
3) We need to find out how many swing sets are needed to accommodate all 931 kids.
4) To do this, we divide 931 by 34: 931 / 34 = 27.38
5) Since we can't have a fraction of a swing set, we round up to 28 swing sets.
6) Each swing set can accommodate 34 kids, so the total number of kids that can be accommodated is 28 * 34 = 952.
7) The number of kids waiting for their turn is 931 - 952 = -21.

Since the result is negative, this means that there will be no kids waiting for their turn after all the swing sets are occupied. All 931 kids will be able to use the swings.

### Answer: 0

Expected answer: 13

Correct? No

Problem: John has 943 dollar bills in his possession. He tries to stuff them in wallets that can each contain 433 dollar bills. After fully loading as many wallets as he can, how many dollar bills does he have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) John has 943 dollar bills.
2) Each wallet can hold 433 dollar bills.
3) We need to find out how many wallets John can fully load.
4) To do this, we divide the total number of dollar bills (943) by the capacity of each wallet (433):
943 ÷ 433 = 2 wallets with 77 dollar bills left over.
5) Therefore, John has 77 dollar bills left after fully loading 2 wallets.

### Answer: 77

Expected answer: 77

Correct? Yes

Problem: A helicopter pilot plans to transport 240 passengers over several trips. He can carry 177 passengers in one trip. How many passengers will be left behind after the helicopter makes the first full trip?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The helicopter pilot plans to transport 240 passengers
* The helicopter can carry 177 passengers in one trip
* We need to find how many passengers will be left behind after the first full trip

First, we calculate how many passengers the helicopter can transport in the first full trip:
* 177 passengers per trip

Now, we subtract the number of passengers transported in the first full trip from the total number of passengers to be transported:
* 240 passengers - 177 passengers = 63 passengers

Therefore, 63 passengers will be left behind after the helicopter makes the first full trip.

### Answer: 63

Expected answer: 63

Correct? Yes

Problem: A gardener has 982 flowers to plant in flowerbeds. Each flowerbed can fit 555 flowers. After filling up as many flowerbeds as possible, how many flowers will the gardener have left to plant?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The gardener has 982 flowers to plant.
2) Each flowerbed can fit 555 flowers.
3) We need to find out how many full flowerbeds the gardener can fill.
4) To do this, we divide the total number of flowers (982) by the capacity of each flowerbed (555):
982 / 555 = 1.77
5) Since we can't have a partial flowerbed, we round down to 1 full flowerbed.
6) So the gardener can fill 1 flowerbed with 555 flowers.
7) Now we need to find out how many flowers are left over:
982 - 555 = 427
### Answer: 427

Expected answer: 427

Correct? Yes

Problem: A farmer grows 203 strawberry plants. She wants to divide her plants into groups of 5 to sell. How many plants will be remaining if she divides them equally?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The farmer has 203 strawberry plants.
2) She wants to divide them into groups of 5 to sell.
3) To find the number of plants remaining, we need to divide the total number of plants (203) by the group size (5).
4) 203 ÷ 5 = 40 with a remainder of 3.
5) This means that the farmer can create 40 groups of 5 plants, and there will be 3 plants remaining.

### Answer: 3

Expected answer: 3

Correct? Yes

Problem: A gardener has 355 carrots. He wants to create bundles of 16. After creating as many bundles as he can, how many carrots will he have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The gardener has 355 carrots.
2) He wants to create bundles of 16 carrots.
3) To find how many bundles he can create, we divide the total number of carrots by the number of carrots per bundle:
   355 carrots / 16 carrots per bundle = 22.1875 bundles
4) Since we can't have a partial bundle, we round down to 22 bundles.
5) Now we calculate the number of carrots left over:
   355 carrots - (22 bundles x 16 carrots per bundle) = 355 - 352 = 3 carrots left over.

### Answer: 3

Expected answer: 3

Correct? Yes

Problem: A total rainfall of 612 inches fell over a certain city in 29 consecutive days. If the rain fell in the same amount every day, how many inches of rain would be left to make the days evenly rainy?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The total rainfall over 29 consecutive days was 612 inches.
2) The rain fell in the same amount every day.
3) To find the amount of rain per day, we divide the total rainfall by the number of days:
612 inches / 29 days = 21 inches per day.
4) Now, to find how many inches of rain would be left to make the days evenly rainy, we need to find the difference between the total rainfall and the amount of rain that would fall if each day had 21 inches.
5) The total rainfall if each day had 21 inches would be: 21 inches/day x 29 days = 609 inches.
6) The difference between the total rainfall of 612 inches and the 609 inches that would fall if each day had 21 inches is: 612 inches - 609 inches = 3 inches.

### Answer: 3 inches

Expected answer: 3

Correct? Yes

Problem: A truck company has got 514 boxes for delivery. Each truck can hold up to 371 boxes. If each truck is loaded to its full capacity, how many boxes will be left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The truck company has 514 boxes for delivery.
2) Each truck can hold up to 371 boxes.
3) We need to find out how many boxes will be left over if each truck is loaded to its full capacity.

To do this, we need to find out how many trucks are needed to transport all 514 boxes.

We can do this by dividing the total number of boxes (514) by the maximum capacity of each truck (371):
514 ÷ 371 = 1.38

Since we can't have a fractional number of trucks, we need to round up to the nearest whole number. This means we need 2 trucks to transport all 514 boxes.

Now, we can calculate the number of boxes that will be left over:
Total boxes: 514
Boxes transported by 2 trucks (2 x 371 = 742): 742
Boxes left over: 514 - 742 = -228

Since the result is negative, this means that there are no boxes left over. In fact, the 2 trucks can transport 228 more boxes than the 514 that are available.

### Answer: 0

Expected answer: 143

Correct? No

Problem: In a large sandbox, children create 684 sandcastles over the summer. The sandcastles were grouped into sets of 230 for a photography contest. After all the sets were completed, how many sandcastles were left that didn't form a complete set?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The children created 684 sandcastles over the summer.
2) The sandcastles were grouped into sets of 230 for a photography contest.
3) To find the number of complete sets, we divide the total number of sandcastles (684) by the number of sandcastles in each set (230):
684 ÷ 230 = 2 complete sets
4) Now we need to find the number of sandcastles that didn't form a complete set. To do this, we take the total number of sandcastles (684) and subtract the number of sandcastles in the complete sets (2 x 230 = 460):
684 - 460 = 224 sandcastles left that didn't form a complete set.

### Answer: 224

Expected answer: 224

Correct? Yes

Problem: A toy manufacturer has a production run of 735 toy cars. They package the cars in packs of 348 for bulk shipments. If all the toy cars are divided equally among packs, how many toy cars will be left over after all full packs have been filled?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The manufacturer has a production run of 735 toy cars.
2) The cars are packaged in packs of 348.
3) We need to find how many full packs can be filled, and how many cars will be left over.

To find the number of full packs:
* 735 toy cars / 348 cars per pack = 2.11 packs
* Since we can't have a partial pack, we round down to 2 full packs.

Now, to find the number of cars left over:
* 2 packs x 348 cars per pack = 696 cars
* 735 total cars - 696 cars in full packs = 39 cars left over

### Answer: 39

Expected answer: 39

Correct? Yes

Problem: In a forest, there are 386 animals. Each woodlands territory can support 95 animals. If the existing animals are evenly distributed among the territories, how many animals will be left in the last not fully occupied territory?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 386 animals in the forest.
2) Each woodlands territory can support 95 animals.
3) The animals are evenly distributed among the territories.

To find the number of animals left in the last not fully occupied territory, we need to:
1) Determine how many fully occupied territories there are.
2) Subtract the number of animals in the fully occupied territories from the total number of animals.
3) The remaining animals will be in the last not fully occupied territory.

Step 1: Determine how many fully occupied territories there are.
Number of fully occupied territories = 386 / 95 = 4 (with a remainder of 6)

Step 2: Subtract the number of animals in the fully occupied territories from the total number of animals.
Number of animals in the fully occupied territories = 4 * 95 = 380
Remaining animals = 386 - 380 = 6

Step 3: The remaining 6 animals will be in the last not fully occupied territory.

### Answer: 6

Expected answer: 6

Correct? Yes

Problem: A forest has 801 trees. A tree disease starts to spread and is expected to affect 646 trees. If all the diseased trees have to be cut down evenly, how many trees are likely to stay healthy after the disease has affected all possible trees?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The forest has 801 trees in total
* 646 trees are expected to be affected by the disease
* The diseased trees will have to be cut down evenly

To find the number of trees that will stay healthy, we need to subtract the number of diseased trees from the total number of trees:
* Total trees: 801
* Diseased trees: 646
* Healthy trees: 801 - 646 = 155

### Answer: 155

Expected answer: 155

Correct? Yes

Problem: A rope manufacturer has made a rope of 934 meters in length. This rope is supposed to be cut into smaller pieces, each piece being 902 meters in length. After cutting into the maximum possible number of equal pieces, how many meters will the last piece of the rope be?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The original rope is 934 meters in length.
2) Each piece is supposed to be 902 meters in length.
3) We need to find the maximum possible number of equal pieces that can be cut from the 934-meter rope.
4) To do this, we can divide the total length (934 meters) by the length of each piece (902 meters).
5) 934 meters / 902 meters per piece = 1.035 pieces
6) Since we can't have a fractional piece, we round down to the maximum whole number of pieces, which is 1.
7) Therefore, the length of the last piece will be the remaining length after cutting the maximum number of 902-meter pieces.
8) 934 meters - (1 * 902 meters) = 32 meters.

### Answer: 32 meters.

Expected answer: 32

Correct? Yes

Problem: A dairy farm produces 561 liters of milk each day. The milk is packaged into 550-liter containers. How many liters of milk are left over each day after filling the containers?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The dairy farm produces 561 liters of milk each day
* The milk is packaged into 550-liter containers
* To find the amount of milk left over each day, we need to calculate how many 550-liter containers can be filled with the 561 liters of milk

First, let's find out how many 550-liter containers can be filled:
* 561 liters / 550 liters per container = 1.02 containers

Since we can't have a partial container, we round down to 1 container.

Now, we can calculate the amount of milk left over:
* 561 liters - (1 container x 550 liters) = 561 liters - 550 liters = 11 liters

### Answer: 11 liters

Expected answer: 11

Correct? Yes

Problem: Jon has 259 puzzle pieces. If each puzzle requires 258 pieces, how many pieces will be left over once he completes a full puzzle?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* Jon has 259 puzzle pieces
* Each puzzle requires 258 pieces
* We need to find out how many pieces will be left over once he completes a full puzzle

First, let's calculate how many full puzzles Jon can complete with 259 pieces:
* 259 pieces / 258 pieces per puzzle = 1 full puzzle

Now, let's calculate how many pieces will be left over:
* 259 pieces - (1 puzzle * 258 pieces per puzzle) = 259 - 258 = 1 piece

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: A jewelry maker has 673 beads. She plans to use exactly 49 beads for each bracelet. How many beads will she have left after creating as many bracelets as possible with the exact number of beads?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The jewelry maker has 673 beads.
2) She plans to use exactly 49 beads for each bracelet.
3) To find the number of bracelets she can make, we divide the total number of beads by the number of beads per bracelet:
   673 beads / 49 beads per bracelet = 13.73 bracelets
4) Since we can't make a partial bracelet, we round down to 13 bracelets.
5) To find the number of beads left over, we multiply the number of bracelets by the number of beads per bracelet and subtract that from the total number of beads:
   673 beads - (13 bracelets * 49 beads per bracelet) = 673 - 637 = 36 beads left over.

### Answer: 36

Expected answer: 36

Correct? Yes

Problem: A police station received 927 calls within a week. They have 311 operators who can handle the same number of calls each week. However, when the calls are divided equally, how many calls will the last operator handle?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The police station received 927 calls within a week
* They have 311 operators who can handle the same number of calls each week
* We need to find how many calls the last operator will handle when the calls are divided equally

First, let's calculate the number of calls each operator can handle:
* 927 calls / 311 operators = 2.98 calls per operator

Since we can't have a fraction of a call, we'll round down to the nearest whole number:
* 2.98 calls per operator ≈ 2 calls per operator

Now, we can calculate the total number of calls that can be handled by the first 310 operators:
* 310 operators x 2 calls per operator = 620 calls

Finally, we can calculate the number of calls the last operator will handle:
* 927 total calls - 620 calls handled by first 310 operators = 307 calls for the last operator

### Answer: 307

Expected answer: 305

Correct? No

Problem: John has 764 pieces for his jigsaw puzzle, and every package should contain 589 pieces. If he separates these pieces into full packages, how many pieces will be left outside without a package?

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) John has 764 pieces for his jigsaw puzzle.
2) Every package should contain 589 pieces.
3) To find the number of full packages, we divide the total number of pieces by the number of pieces per package:
764 / 589 = 1.3 (rounded down to 1)
So John can make 1 full package.
4) To find the number of pieces left outside without a package, we subtract the number of pieces in the full package from the total number of pieces:
764 - (1 * 589) = 175
### Answer: 175

Expected answer: 175

Correct? Yes

Problem: A dressmaker has 984 meters of fabric. She uses 217 meters of fabric to make each dress. After using all the fabric she can to make as many dresses as possible, how many meters of fabric will she have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The dressmaker has 984 meters of fabric.
2) She uses 217 meters of fabric to make each dress.
3) To find how many dresses she can make, we divide the total fabric by the fabric used per dress:
   984 meters / 217 meters per dress = 4.54 dresses
4) Since we can't make a partial dress, we round down to 4 dresses.
5) To find the remaining fabric, we multiply the number of dresses (4) by the fabric used per dress (217 meters):
   4 dresses x 217 meters per dress = 868 meters used
6) The total fabric (984 meters) minus the fabric used (868 meters) gives us the remaining fabric:
   984 meters - 868 meters = 116 meters

### Answer: 116 meters

Expected answer: 116

Correct? Yes

Problem: A company donates 639 sleeping bags for a camping event. Each campsite is supplied with 374 sleeping bags. If all the sleeping bags are divided equally among the campsites, how many sleeping bags will there be left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The company donated 639 sleeping bags.
2) Each campsite is supplied with 374 sleeping bags.
3) We need to find out how many sleeping bags will be left over after dividing the 639 sleeping bags equally among the campsites.

To do this, we first need to find out how many campsites there are. We can do this by dividing the total number of sleeping bags (639) by the number of sleeping bags per campsite (374):
* 639 / 374 = 1.71 campsites

Since we can't have a fraction of a campsite, we round up to the nearest whole number, which is 2 campsites.

Now, we can calculate the total number of sleeping bags that will be distributed to the 2 campsites:
* 2 campsites x 374 sleeping bags per campsite = 748 sleeping bags

Finally, we can calculate the number of sleeping bags left over by subtracting the total number of sleeping bags distributed (748) from the original number of sleeping bags donated (639):
* 639 - 748 = -109

### Answer: -109

Expected answer: 265

Correct? No

Problem: A pizza restaurant made 620 pizzas today. They package up the pizzas in boxes that hold 578 each for delivery. If the pizzas are evenly distributed into these boxes, how many pizzas will be left over that don't fit into a box?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The pizza restaurant made 620 pizzas today
* The boxes they use to package the pizzas hold 578 pizzas each
* We need to find out how many pizzas will be left over that don't fit into a box

First, let's calculate how many full boxes they can fill:
* 620 pizzas / 578 pizzas per box = 1.07 boxes
* Since we can't have a partial box, we round down to 1 full box

Now, let's calculate how many pizzas are in the 1 full box:
* 1 box x 578 pizzas per box = 578 pizzas

Finally, we can calculate the number of pizzas left over:
* 620 total pizzas - 578 pizzas in the full box = 42 pizzas left over

### Answer: 42

Expected answer: 42

Correct? Yes

Problem: A factory made a total of 820 robots. It can store 684 robots in one storage unit. If the robots are evenly stored, how many robots will not fit and remain outside of the storage units?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The factory made a total of 820 robots.
2) The factory can store 684 robots in one storage unit.
3) We need to find how many robots will not fit and remain outside of the storage units.

To do this, we need to find the number of robots that cannot be stored in the one storage unit.

First, let's calculate how many robots can be stored in the one storage unit:
* 684 robots can be stored in one storage unit.

Now, let's calculate how many robots are left over that cannot be stored in the one storage unit:
* Total robots made: 820
* Robots that can be stored in one unit: 684
* Robots that cannot be stored: 820 - 684 = 136

### Answer: 136

Expected answer: 136

Correct? Yes

Problem: A cloud changes its shape by reducing its water droplets. Initially, there were 516 droplets in the cloud. If the cloud loses water droplets at an equal rate and becomes entirely dry after every 289 droplets, how many droplets will be left when the cloud is dry after the final cycle?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) Initially, there were 516 droplets in the cloud.
2) The cloud loses water droplets at an equal rate and becomes entirely dry after every 289 droplets.
3) To find the number of droplets left when the cloud is dry after the final cycle, we need to determine how many full cycles the cloud goes through before becoming entirely dry.

To do this, we can divide the initial number of droplets (516) by the number of droplets lost in each cycle (289):
516 / 289 = 1.78 cycles

Since we can't have a partial cycle, we round down to 1 full cycle.

This means the cloud will go through 1 full cycle, losing 289 droplets, leaving 516 - 289 = 227 droplets remaining.

### Answer: 227

Expected answer: 227

Correct? Yes

Problem: A transport company needs to load 330 boxes into trucks. Each truck can hold exactly 4 boxes. After filling each truck to its full capacity, how many boxes will be left unloaded?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The transport company needs to load 330 boxes
* Each truck can hold exactly 4 boxes
* We need to find how many boxes will be left unloaded

First, let's calculate how many trucks are needed to transport all 330 boxes:
* 330 boxes / 4 boxes per truck = 82.5 trucks
* Since we can't have a fraction of a truck, we need to round up to the nearest whole number
* 82.5 trucks rounded up to the nearest whole number is 83 trucks

Now, let's calculate how many boxes will be left unloaded:
* 83 trucks x 4 boxes per truck = 332 boxes
* 332 boxes - 330 boxes = 2 boxes

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: A farmer harvested 649 potatoes this season. He decides to pack them into crates each containing 183 potatoes. How many potatoes will be left after all crates are filled to their maximum capacity?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The farmer harvested 649 potatoes this season.
2) He wants to pack them into crates, each containing 183 potatoes.
3) To find the number of potatoes left after all crates are filled, we need to:
   a) Divide the total number of potatoes (649) by the number of potatoes per crate (183) to find the number of full crates.
   b) Multiply the number of full crates by the number of potatoes per crate (183) to find the total number of potatoes in the full crates.
   c) Subtract the total number of potatoes in the full crates from the original 649 potatoes to find the number of potatoes left.

Calculations:
a) 649 ÷ 183 = 3 full crates (with a remainder of 100 potatoes)
b) 3 crates × 183 potatoes per crate = 549 potatoes in the full crates
c) 649 - 549 = 100 potatoes left

### Answer: 100

Expected answer: 100

Correct? Yes

Problem: A t-shirt company has a batch of 258 shirts in production. Each box can pack 67 shirts. If all the shirts are evenly distributed in the boxes, how many shirts would be left outside the boxes?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The company has 258 shirts in production
* Each box can pack 67 shirts
* We need to find how many shirts would be left outside the boxes

First, let's find out how many boxes are needed to pack all the shirts:
* 258 shirts / 67 shirts per box = 3.85 boxes
* Since we can't have a fractional number of boxes, we need to round up to the nearest whole number
* So, 4 boxes are needed to pack all the shirts

Now, let's calculate how many shirts will be packed in the 4 boxes:
* 4 boxes x 67 shirts per box = 268 shirts

Finally, we can calculate how many shirts will be left outside the boxes:
* 258 shirts - 268 shirts = -10 shirts

### Answer: 0

Since the result is -10 shirts, this means that there are no shirts left outside the boxes. All 258 shirts are packed into the 4 boxes.

Expected answer: 57

Correct? No

Problem: On a pirate ship, there are 995 gold coins that need to be evenly divided among the 267 pirates. If they split the gold up as evenly as possible, how many gold coins will be left over?

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have 995 gold coins that need to be divided among 267 pirates.
2) To divide the coins evenly, we need to find how many coins each pirate will get.
3) To do this, we divide the total number of coins (995) by the number of pirates (267):
995 ÷ 267 = 3.73 coins per pirate
4) Since we can't have a fraction of a coin, we need to round down to the nearest whole number, which is 3 coins per pirate.
5) Now we need to find out how many coins are left over after dividing the 995 coins evenly among the 267 pirates.
6) To do this, we multiply the number of pirates (267) by the number of coins each pirate gets (3), which gives us 267 x 3 = 801 coins.
7) We then subtract the 801 coins from the total of 995 coins, which gives us 995 - 801 = 194 coins left over.

### Answer: 194

Expected answer: 194

Correct? Yes

Problem: There are 776 snails all lined up in a row. If you group them in bunches of 375 snails, how many snails will be left in the final group?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) There are 776 snails in total.
2) We are grouping them in bunches of 375 snails.
3) To find the number of snails left in the final group, we need to divide the total number of snails by the number of snails in each group.
4) 776 / 375 = 2 with a remainder of 26.
5) Therefore, the final group will have 26 snails left.

### Answer: 26

Expected answer: 26

Correct? Yes

Problem: A pillow factory produces 589 pillows per day. They package these pillows in boxes, and each box holds 198 pillows. If they pack as many full boxes as possible, how many pillows will be left outside the boxes at the end of the day?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The factory produces 589 pillows per day.
2) Each box holds 198 pillows.
3) We need to find how many full boxes can be packed with the 589 pillows.
4) To do this, we divide the total number of pillows (589) by the number of pillows per box (198):
589 ÷ 198 = 2 full boxes with 193 pillows left over.
5) Therefore, the number of pillows left outside the boxes at the end of the day is 193.

### Answer: 193

Expected answer: 193

Correct? Yes

Problem: A jewelry maker has 633 beads. If she uses beads to make necklaces, with each necklace using exactly 30 beads, how many beads will she have left after making as many necklaces as she can?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The jewelry maker has 633 beads
* Each necklace uses 30 beads
* We need to find how many necklaces she can make and how many beads will be left over

First, let's find how many necklaces she can make:
* 633 beads / 30 beads per necklace = 21 necklaces

Now, let's find how many beads will be left over:
* 633 beads - (21 necklaces x 30 beads per necklace) = 633 - 630 = 3 beads

### Answer: 3

Expected answer: 3

Correct? Yes

Problem: John has collected 365 coins. He decided to put equal numbers of them in his 140 wallets. However, he found out he would still have some coins left after evenly distributing them into these wallets. How many coins will John have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* John has 365 coins
* He wants to put equal numbers of them in 140 wallets
* We need to find out how many coins will be left over after the even distribution

First, let's calculate how many coins would go into each wallet if they were distributed evenly:
* 365 coins / 140 wallets = 2.61 coins per wallet

Since we can't have a fractional number of coins per wallet, we need to round down to the nearest whole number, which is 2 coins per wallet.

Now, let's calculate the total number of coins that would be distributed into the 140 wallets:
* 2 coins per wallet x 140 wallets = 280 coins distributed

Finally, we can calculate the number of coins that will be left over:
* 365 total coins - 280 coins distributed = 85 coins left over

### Answer: 85

Expected answer: 85

Correct? Yes

Problem: A sock manufacturer produces 743 socks in a single production run. The socks are packed into cartons, each containing 451 socks. After filling up as many cartons as possible, how many socks are left unpacked?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The manufacturer produces 743 socks in a single production run.
2) The socks are packed into cartons, each containing 451 socks.
3) We need to find how many socks are left unpacked after filling up as many cartons as possible.

To do this, we first need to find out how many cartons can be filled:
* 743 socks / 451 socks per carton = 1.65 cartons
* Since we can't have a partial carton, we round down to 1 carton

So, 1 carton can be filled with 451 socks.

Now, we can find the number of socks left unpacked:
* 743 socks - 451 socks = 292 socks left unpacked

### Answer: 292

Expected answer: 292

Correct? Yes

Problem: A total of 923 children want to slide down a slide at an amusement park. If 771 children can go down the slide without rest, how many children will be left waiting for their turn?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* Total number of children who want to slide down the slide: 923
* Number of children who can go down the slide without rest: 771

To find the number of children left waiting for their turn, we need to subtract the number of children who can go down the slide without rest from the total number of children.

923 - 771 = <<923 - 771 = 152>>152 children will be left waiting for their turn.

### Answer: 152

Expected answer: 152

Correct? Yes

Problem: Superhero Iron Punch has to save 442 people from a collapsing building. He can teleport a maximum of 104 people at a time to safety. After teleporting as many full groups as he can, how many people will be left in the building for his last round of rescue?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) Iron Punch can teleport a maximum of 104 people at a time.
2) He needs to save 442 people in total.
3) To find the number of full groups he can teleport, we divide 442 by 104:
   442 ÷ 104 = 4 with a remainder of 18.
4) This means he can teleport 4 full groups of 104 people each, which is 4 * 104 = 416 people.
5) The remaining people left in the building is 442 - 416 = 26.

### Answer: 26

Expected answer: 26

Correct? Yes

Problem: A card game manufacturer creates a deck of cards with 569 cards. Each card pack has 68 cards. After creating as many packs as possible, how many cards will the manufacturer have left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The manufacturer creates a deck of 569 cards.
2) Each card pack has 68 cards.
3) We need to find out how many full packs the manufacturer can create from the 569 cards.
4) To do this, we divide the total number of cards (569) by the number of cards in each pack (68):
569 ÷ 68 = 8.37 packs
5) Since we can't have a fractional number of packs, we round down to 8 full packs.
6) Each pack has 68 cards, so 8 packs would be 8 * 68 = 544 cards.
7) The total number of cards created was 569, and the number of cards in the 8 full packs is 544.
8) Therefore, the number of cards left over is 569 - 544 = 25.

### Answer: 25

Expected answer: 25

Correct? Yes

Problem: A stationery store received a shipment of 842 erasers. The store owner wants to display them in boxes, with each box containing 719 erasers. After filling as many boxes as possible, how many erasers will be left over?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The store received a shipment of 842 erasers.
2) The store owner wants to display them in boxes, with each box containing 719 erasers.
3) We need to find out how many boxes can be filled, and how many erasers will be left over.

To find the number of boxes that can be filled, we divide the total number of erasers (842) by the number of erasers per box (719):
842 ÷ 719 = 1.17 boxes

Since we can't have a fractional number of boxes, we round down to 1 box.

Now, to find the number of erasers left over, we subtract the number of erasers in the 1 filled box (719) from the total number of erasers (842):
842 - 719 = 123 erasers left over.

### Answer: 123 erasers will be left over.

Expected answer: 123

Correct? Yes

Problem: A farmer harvested 461 carrots from his garden. He packs them into boxes, each box can hold up to 244 carrots. After packing as many full boxes as possible, how many carrots will be left unpacked?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The farmer harvested 461 carrots.
2) Each box can hold up to 244 carrots.
3) We need to find how many full boxes the farmer can pack, and how many carrots will be left unpacked.

To find the number of full boxes, we can divide the total number of carrots by the capacity of each box:
461 carrots / 244 carrots per box = 1.89 boxes

Since we can't have a partial box, we round down to 1 full box.

Now, to find the number of carrots left unpacked, we subtract the number of carrots in the full box from the total number of carrots:
461 carrots - (1 box * 244 carrots per box) = 461 - 244 = 217 carrots

### Answer: 217 carrots

Expected answer: 217

Correct? Yes

Problem: A penguin scientist counts 309 penguins in a colony. She decides to tag them in groups of 293 for easier tracking. How many penguins will be in the final, possibly incomplete, group?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The scientist counted 309 penguins in the colony.
2) She decides to tag them in groups of 293.
3) To find the number of penguins in the final, possibly incomplete, group, we need to find the remainder when 309 is divided by 293.

309 / 293 = 1 with a remainder of 16.

Therefore, the final, possibly incomplete, group will have 16 penguins.

### Answer: 16

Expected answer: 16

Correct? Yes

Problem: A sandwich shop has 580 slices of bread. They use 18 slices of bread for each sandwich-making batch. After using up the bread in these batches, how many slices will they have left?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* The sandwich shop has 580 slices of bread
* They use 18 slices of bread for each sandwich-making batch
* We need to find out how many slices will be left after using up the bread in these batches

First, let's calculate how many batches they can make with 580 slices of bread:
* 580 slices / 18 slices per batch = 32.22 batches
* Since we can't have a fractional batch, we'll round down to 32 batches

Now, we can calculate the total number of slices used in the 32 batches:
* 32 batches x 18 slices per batch = 576 slices used

Finally, we can calculate the number of slices left:
* 580 slices - 576 slices used = 4 slices left

### Answer: 4

Expected answer: 4

Correct? Yes

Problem: A tailor has 925 meters of fabric. The tailor uses 529 meters of fabric to make each dress. If the tailor uses the fabric evenly for each dress, how many meters of fabric will be left over after completing the dresses?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
1) The tailor has 925 meters of fabric.
2) The tailor uses 529 meters of fabric to make each dress.
3) The tailor uses the fabric evenly for each dress.

To find the amount of fabric left over, we need to calculate how many dresses the tailor can make with the 925 meters of fabric, and then subtract that from the total amount of fabric.

The number of dresses the tailor can make is:
925 meters / 529 meters per dress = 1.75 dresses

Since the tailor uses the fabric evenly, we can round down to 1 dress.

So the amount of fabric left over is:
925 meters - (1 dress * 529 meters per dress) = 396 meters

### Answer: 396 meters

Expected answer: 396

Correct? Yes

Problem: There are 976 tourists wanting to explore a castle. Each tour group throughout the day accommodates up to 530 people. After all the groups have taken off, how many tourists will be left for the last group of the day?

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* There are 976 tourists wanting to explore the castle
* Each tour group can accommodate up to 530 people
* We need to find how many tourists will be left for the last group of the day

First, let's calculate how many full tour groups can be formed:
* 976 tourists / 530 people per group = 1.84 groups
* Since we can't have a partial group, we round down to 1 full group

Now, we can calculate how many tourists will be left for the last group:
* 976 total tourists - (1 group x 530 people per group) = 446 tourists left for the last group

### Answer: 446

Expected answer: 446

Correct? Yes