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?

Llama 3 70B:

Reasoning: The shark eats 461 fish, leaving 535 - 461 = 74 fish in the tank.
Since the shark only eats when there are 461 or more fish, it will not eat again because there are less than 461 fish left.
### 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?

Llama 3 70B:

Reasoning: To find out how many cookies the baker can give to each orphanage, we need to divide the total number of cookies by the number of orphanages. 

928 ÷ 186 = 5 with a remainder of 8.

This means the baker can give 5 cookies to each of the 186 orphanages, and he will have 8 cookies left over.

### Answer: 8

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?

Llama 3 70B:

Reasoning: To find the number of full pizza boxes, we can divide the total number of slices by the number of slices each box can hold: 975 ÷ 196 = 5 with a remainder of 25. This means we can fill 5 boxes completely, and we will have 25 slices left over.

### Answer: 25

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?

Llama 3 70B:

Let's find out how many creatures the wizard can summon with 932 stones.

To do this, we can divide the total number of stones by the number of stones required per creature:

932 ÷ 193 = 4 with a remainder of 148

This means the wizard can summon 4 creatures and will have 148 stones left over.

### Answer: 148

Expected answer: 160

Correct? No

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?

Llama 3 70B:

Reasoning: To find out how many whole tiles the builder can install, we can divide the total area to be covered (660 square feet) by the area each tile can cover (335 square feet). 

660 ÷ 335 = 1 with a remainder of 325.

This means the builder can install 1 whole tile, and the last tile will need to cover the remaining area, which is 325 square feet.

### Answer: 325

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?

Llama 3 70B:

Reasoning: To find the number of containers that can be filled, we divide the total amount of juice (473 gallons) by the capacity of each container (22 gallons).

473 ÷ 22 = 21 with a remainder of 11

This means we can fill 21 containers with 22 gallons each, using a total of 21 × 22 = 462 gallons of juice.

To find the amount of juice left over, we subtract the amount used (462 gallons) from the total amount (473 gallons):

473 - 462 = 11

### Answer: 11

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?

Llama 3 70B:

Reasoning: To find the number of boxes needed, we can divide the total number of toy cars by the number of cars per box: 979 ÷ 108 = 9 with a remainder of 31. This means we can fill 9 boxes with 108 cars each, leaving 31 cars unpacked.

### Answer: 31

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?

Llama 3 70B:

Reasoning: To find out how many boxes can be filled, we divide the total number of crayons by the number of crayons each box can hold: 994 ÷ 425 = 2 with a remainder of 144. This means 2 boxes can be filled completely, and 144 crayons will be left over.

### 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?

Llama 3 70B:

Reasoning: To find the number of zones, we can divide the total number of tigers by the capacity of each zone. 
740 ÷ 696 = 1 with a remainder of 44. This means we can fill 1 zone completely and have 44 tigers left over.
### 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?

Llama 3 70B:

Reasoning: To find the number of boxes, we can divide the total number of hats by the number of hats per box: 830 ÷ 421 = 1 with a remainder of 389. This means we can fill 1 box with 421 hats, and we'll have 389 hats left over.

### Answer: 389

Expected answer: 409

Correct? No

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?

Llama 3 70B:

Reasoning: The fisherman catches 575 fish every month, so the number of fish left after a month would be the initial number of fish minus the number of fish caught: 871 - 575 = 296.

However, the problem states that the fish repopulate at the same rate that the fisherman is depleting them, which means that the number of fish caught is also the number of fish that repopulate. Therefore, the number of fish left after a month would be the same as the initial number of fish: 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?

Llama 3 70B:

Reasoning: To find the number of beach balls that will fit into the bags, we can divide the total number of beach balls (891) by the number of beach balls that each bag can fit (119).

891 ÷ 119 = 7 with a remainder of 44

This means that 7 bags can be filled completely, and 44 beach balls will be left over.

### Answer: 44

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?

Llama 3 70B:

Reasoning: To find the number of clusters, we can divide the total number of stars by the number of stars in each cluster: 544 ÷ 446 = 1 with a remainder of 98. This means we can form 1 complete cluster and have 98 stars left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many sets of 132 socks can be made, we divide the total number of socks by 132: 805 ÷ 132 = 6 with a remainder of 37. This means we can make 6 sets of 132 socks, and we will have 37 socks left over.

### Answer: 37

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?

Llama 3 70B:

Reasoning: To find the total number of nights, we can divide the total number of members by the number of people who can view the event each night: 759 ÷ 228 = 3 with a remainder of 75. This means that the event will be viewed over 3 nights, with 228 people viewing on each of the first 3 nights, and the remaining 75 people viewing 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?

Llama 3 70B:

Reasoning: To find out how many mailboxes the postman needs, we can divide the total number of letters by the capacity of each mailbox: 891 ÷ 616 = 1 with a remainder of 269. This means the postman will need 2 mailboxes (1 full and 1 partial). The number of letters in the last mailbox will be the remainder: 891 - 616 = 275.
### Answer: 275

Expected answer: 275

Correct? Yes

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?

Llama 3 70B:

Reasoning: Let's find out how many jumps the frog made. Since the frog eats 258 flies per jump, we can divide the total number of flies by 258 to find the number of jumps: 941 ÷ 258 = 3 with a remainder of 167. This means the frog made 3 jumps and ate 3 × 258 = 774 flies. To find the number of flies left, we subtract the number of flies eaten from the total: 941 - 774 = 167.

### 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?

Llama 3 70B:

Reasoning: To find the number of spaces in each row, we can divide the total number of spaces by the number of rows: 991 ÷ 66 = 15 with a remainder of 1. This means that each row will have 15 spaces, and there will be 1 spare space left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many liters each bottle can hold, we divide the total amount of water (193 liters) by the number of bottles (167).

193 ÷ 167 = 1 with a remainder of 16

This means each bottle can hold 1 liter of water, and 16 liters will be left over.

### Answer: 16

Expected answer: 26

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of full rows, we can divide the total number of eggs by the number of eggs each row can hold: 996 ÷ 319 = 3 with a remainder of 39. This means the dragon can fill 3 rows completely and has 39 eggs left over to be put in the last row.

### 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?

Llama 3 70B:

Reasoning: To find the number of packs that can be filled, we divide the total number of bulbs by the number of bulbs per pack: 691 ÷ 205 = 3 with a remainder of 176. This means we can fill 3 packs with 205 bulbs each, leaving 176 bulbs unpacked.

### Answer: 176

Expected answer: 76

Correct? No

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?

Llama 3 70B:

Reasoning: To find out how many barns are needed, we can divide the total number of bales by the capacity of each barn: 330 ÷ 259 = 1 with a remainder of 71. This means we can fill 1 barn completely and have 71 bales left over.

### Answer: 71

Expected answer: 71

Correct? Yes

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?

Llama 3 70B:

Let's first find out how many teams are needed to install the windows. Since one team can install 137 windows per day, we can divide the total number of windows by 137 to find the number of teams needed:

166 ÷ 137 = 1 with a remainder of 29

This means that 1 team can install 137 windows, and there will be 29 windows remaining.

### Answer: 29

Expected answer: 29

Correct? Yes

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?

Llama 3 70B:

Reasoning: To find out how many tents are needed, we can divide the total number of campers by the capacity of each tent: 533 ÷ 445 = 1 with a remainder of 143. This means we need 1 tent and there will be 143 campers left over.

### Answer: 143

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?

Llama 3 70B:

Reasoning: To find out how many sets can be made, we can divide the total number of seashells by the number of shells in each set: 999 ÷ 474 = 2 with a remainder of 51. This means we can make 2 complete sets and have 51 seashells left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many skirts the tailor can make, we can divide the total amount of fabric by the amount of fabric required for each skirt: 366 ÷ 160 = 2 with a remainder of 46. This means the tailor can make 2 skirts and will have 46 meters of fabric left over.

### Answer: 46

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?

Llama 3 70B:

Reasoning: To find the number of boxes needed, we can divide the total number of dolls by the number of dolls each box can hold: 993 ÷ 327 = 3 with a remainder of 24. This means we need 3 boxes, and 24 dolls will be left over.

### Answer: 24

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?

Llama 3 70B:

Reasoning: To find out how many stuffed animals each friend will get, we can divide the total number of stuffed animals (964) by the number of friends (839). 

964 ÷ 839 = 1 with a remainder of 125.

This means each friend will get 1 stuffed animal, and the child will have 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?

Llama 3 70B:

Reasoning: To find the number of boxes needed, we can divide the total number of teddy bears by the capacity of each box: 369 ÷ 270 = 1 with a remainder of 99. This means we can fill 1 box completely and have 99 teddy bears left over.

### Answer: 99

Expected answer: 99

Correct? Yes

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?

Llama 3 70B:

Reasoning: To find the number of snowmen built, we can divide the total number of snowballs by the number of snowballs needed per snowman: 804 ÷ 184 = 4 with a remainder of 100. This means 4 snowmen were built, and 100 snowballs are left over.

### Answer: 100

Expected answer: 68

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of rings that can be placed equally into 839 boxes, we can divide 843 by 839. 

843 ÷ 839 = 1 with a remainder of 4.

This means each box can hold 1 ring, and 4 rings will be 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?

Llama 3 70B:

Reasoning: To find out how many fireplaces they can build, we divide the total number of bricks by the number of bricks required per fireplace: 819 ÷ 583 = 1 with a remainder of 246. This means they can build 1 fireplace and have some bricks left over.

To find out how many bricks are left over, we take the remainder: 819 - (1 × 583) = 819 - 583 = 236.

### 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?

Llama 3 70B:

Reasoning: The factory produces 998 marshmallows per minute. The packaging machine can hold 957 marshmallows at a time. To find the number of marshmallows left un-packaged, we need to subtract the number of marshmallows that can be packaged from the total number of marshmallows produced.

998 (total marshmallows) - 957 (marshmallows packaged) = 41

### 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?

Llama 3 70B:

Reasoning: To find out how many tributes Princess can make, we need to divide the total number of roses by the number of roses in each tribute. This can be done by dividing 984 by 426.

984 ÷ 426 = 2 with a remainder of 132.

This means Princess can make 2 tributes with 426 roses each, using a total of 2 x 426 = 852 roses. To find out how many roses will be left undistributed, we subtract the number of roses used from the total number of roses:

984 - 852 = 132

### 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?

Llama 3 70B:

Reasoning: To find the number of complete lines in the song, we can divide the total number of words by the number of words per line: 334 ÷ 23 = 14 with a remainder of 12. This means there are 14 complete lines and one incomplete line with 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?

Llama 3 70B:

Reasoning: To find out how many times the teacher can fill the printer, we can divide the total number of pages by the number of pages the printer can print at one time: 928 ÷ 336 = 2 with a remainder of 256. However, this means the teacher will not be able to fill the printer completely the last time, so we need to find the remainder: 928 - (2 × 336) = 256.

### 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?

Llama 3 70B:

Reasoning: To find the number of complete groups of 667 sharks that can be tagged, we divide the total number of sharks (972) by 667.

972 ÷ 667 = 1 with a remainder of 309

This means that the scientists can tag 1 complete group of 667 sharks, leaving 309 sharks untagged.

### Answer: 309

Expected answer: 305

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of boxes needed, we can divide the total number of blocks of cheese by the number of blocks each box can hold: 686 ÷ 349 = 1 with a remainder of 337. However, since we can't have a fraction of a box, we'll ignore the whole number part (1) and focus on the remainder.

The remainder, 337, is more than the number of blocks each box can hold (349). So, we'll divide the remainder by 349 again: 337 ÷ 349 = 0 with a remainder of 337. This means we can't fill another box, and the remaining blocks will be 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?

Llama 3 70B:

Reasoning: To find out how many times the snowplow can clear the snow, we can divide the total snowfall by the amount the snowplow can clear at a time: 513 ÷ 170 = 3 with a remainder of 3. This means the snowplow can clear the snow 3 times, and there will be 3 centimeters of snow left over.

### Answer: 3

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?

Llama 3 70B:

Reasoning: To find out how many full compasses the compass maker can install, we need to divide the total number of needles by the number of needles used in each compass.

661 ÷ 510 = 1 with a remainder of 151

This means the compass maker can install 1 full compass and will have 151 needles left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many shops the factory can supply, we divide the total number of chairs by the capacity of each shop: 380 ÷ 310 = 1 with a remainder of 70. This means the factory can supply 1 shop fully and has 70 chairs left over.

### 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?

Llama 3 70B:

Reasoning: To find the number of boxes the farmer can fill, we can divide the total number of tomatoes by the number of tomatoes per box: 929 ÷ 154 = 6 with a remainder of 5. This means the farmer can fill 6 boxes with 154 tomatoes each, and there will be 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?

Llama 3 70B:

Reasoning: To find the number of pairs of ice skates that can be evenly distributed among the 128 boxes, we can divide 454 by 128.

454 ÷ 128 = 3 with a remainder of 50

This means that each box can hold 3 pairs of ice skates, and there will be 50 pairs left over after all the boxes are filled up equally.

### Answer: 50

Expected answer: 70

Correct? No

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?

Llama 3 70B:

Reasoning: To find out how many full increments of 385 units the village consumes, we can divide the total power generated (506 units) by the increment size (385 units): 506 ÷ 385 = 1 with a remainder of 126. This means the village consumes 1 full increment of 385 units, leaving 506 - 385 = 121 units remaining.

### 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?

Llama 3 70B:

Let's find out how many energy blasts Blast Man can fire with 338 energy units. To do this, we can divide the total energy units by the energy units used per blast:

338 ÷ 16 = 21.125 (but since you can't fire a fraction of a blast, we'll round down to 21 blasts)

Since each blast uses 16 energy units, the total energy used is:

21 blasts × 16 energy units/blast = 336 energy units

To find out how many energy units are left, we subtract the energy used from the total energy:

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?

Llama 3 70B:

Reasoning: To find the number of full buses, we can divide the total number of students by the capacity of each bus: 530 ÷ 144 = 3 with a remainder of 122. This means there will be 3 full buses and 1 bus with fewer students.

Since 3 buses can carry 3 × 144 = 432 students, the remaining students will be on the last bus: 530 - 432 = 98 students.

However, the problem asks for the number of students on the last bus, assuming all students are equally spread across the buses. To find this, we can divide the remaining students by 4 (the total number of buses): 122 ÷ 4 = 30 with a remainder of 2. Since we can't have a fraction of a student, we'll take the quotient as the number of students on the last bus.

### Answer: 30

Expected answer: 98

Correct? No

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?

Llama 3 70B:

Reasoning: To find out how many spells the wizard can give to each apprentice, we need to divide the total number of spells (999) by the number of apprentices (951).

999 ÷ 951 = 1 with a remainder of 48

This means each apprentice will get 1 spell, and the wizard will have 48 spells left over.

### 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?

Llama 3 70B:

Reasoning: To find the number of trucks needed, we can divide the total number of scooters by the number of scooters each truck can carry: 767 ÷ 369 = 2 with a remainder of 29. This means we need 2 trucks and there will be 29 scooters left over.

### Answer: 29

Expected answer: 29

Correct? Yes

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?

Llama 3 70B:

Reasoning: Let's first find the maximum number of raindrops that can be formed. To do this, we can divide the total number of water droplets by the number of droplets needed to form one raindrop:

846 ÷ 722 = 1 with a remainder of 124

This means we can form 1 raindrop and have 124 droplets left over.

### 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?

Llama 3 70B:

Reasoning: To find the number of unicorns in each complete section, we can divide the total number of unicorns by the number of complete sections. Since there are 146 sections in total, and all but one are complete, there are 145 complete sections.

The number of unicorns in each complete section is 265 ÷ 145 = 1 with a remainder of 120.

This means that each complete section has 1 unicorn, and the last incomplete section has 120 unicorns.

### Answer: 120

Expected answer: 119

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of matches that can be filled, we can divide the total number of players by the number of players that can enter a match at a time: 923 ÷ 383 = 2 with a remainder of 157. This means that 2 full matches can be filled, and 157 players will be left waiting.

### 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?

Llama 3 70B:

Reasoning: To find out how many cannonballs each crate will hold, we can divide the total number of cannonballs by the number of crates: 923 ÷ 499 = 1 with a remainder of 424. This means each crate will hold 1 cannonball, and there will be 923 - (499 x 1) = 424 cannonballs left uncrated.
### 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?

Llama 3 70B:

Reasoning: The kite store starts with 530 string spools. They distribute 518 spools to the kites, one spool per kite. To find out how many spools are left, we subtract the number of spools distributed from the total number of spools: 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?

Llama 3 70B:

Reasoning: To find out how many jugs can be filled, we need to divide the total amount of milk (913 gallons) by the capacity of each jug (39 gallons).

913 ÷ 39 = 23 with a remainder of 20

This means that 23 jugs can be filled completely, and there will be 20 gallons left over.

### Answer: 20

Expected answer: 16

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of rows, we can divide the total number of dolls by the number of dolls in each row: 603 ÷ 369 = 1 with a remainder of 234. This means we can fill 1 row with 369 dolls, and we have 234 dolls left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many necklaces the jewelry maker can make, we can divide the total number of beads by the number of beads used per necklace: 850 ÷ 631 = 1 with a remainder of 219. This means the jewelry maker can make 1 necklace and have some beads left over.

To find out how many beads are left over, we can subtract the number of beads used (631) from the total number of beads: 850 - 631 = 219.

### 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?

Llama 3 70B:

Reasoning: To find the number of boxes the gardener can fill, we can divide the total number of grapes by the number of grapes each box can hold: 952 ÷ 380 = 2 with a remainder of 192. This means the gardener can fill 2 boxes and will have 192 grapes left over.

### 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?

Llama 3 70B:

Reasoning: To find the number of significant places or clues, we can divide the total number of steps by 44: 236 ÷ 44 = 5 with a remainder of 16. This means we will reach 5 significant places or clues.

To find the number of steps left after reaching the last significant place or clue, we can take the remainder: 236 - (5 × 44) = 236 - 220 = 16.

### 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?

Llama 3 70B:

Reasoning: To find the number of complete groups, we can divide the total number of bubbles by the number of bubbles in each group: 932 ÷ 507 = 1 with a remainder of 425. This means the machine formed 1 complete group of 507 bubbles and 1 incomplete group.

To find the number of bubbles in the final, incomplete group, we can subtract the number of bubbles in the complete group(s) from the total number of bubbles: 932 - 507 = 425.

### 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?

Llama 3 70B:

Reasoning: To find the number of swing sets needed, we can divide the total number of kids by the number of kids each swing set can accommodate: 931 ÷ 34 = 27 with a remainder of 19. This means we need 27 swing sets, and 19 kids will be left waiting.

### Answer: 19

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?

Llama 3 70B:

Reasoning: To find out how many wallets John can fully load, we can divide the total number of dollar bills by the capacity of each wallet: 943 ÷ 433 = 2 with a remainder of 77. This means John can fully load 2 wallets and has 77 dollar bills left over.

### 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?

Llama 3 70B:

Reasoning: The helicopter can carry 177 passengers in one trip. After the first trip, the number of passengers left behind will be the total number of passengers minus the number of passengers carried in the first trip.

Let's calculate the number of passengers left behind:
240 (total passengers) - 177 (passengers carried in the first trip) = 63

### 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?

Llama 3 70B:

Reasoning: The gardener can fill 982 ÷ 555 = 1 with remainder 427 flowerbeds. 
The gardener will have 982 - (1 × 555) = 982 - 555 = 427 flowers left to plant.
### 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?

Llama 3 70B:

Reasoning: To find the number of groups of 5, we can divide 203 by 5. This gives us 203 ÷ 5 = 40 with a remainder of 3. This means the farmer can make 40 groups of 5 strawberry plants, and she will have 3 plants left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many bundles the gardener can make, we can divide the total number of carrots by the number of carrots per bundle: 355 ÷ 16 = 22 with a remainder of 3. This means the gardener can make 22 bundles of 16 carrots each, using up 22 × 16 = 352 carrots. To find out how many carrots are left, we subtract the number of carrots used from the total: 355 - 352 = 3.

### 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?

Llama 3 70B:

Let's find the amount of rainfall per day:

612 inches (total rainfall) ÷ 29 days = 21.1 inches per day (approximately)

Since we want to make the days evenly rainy, we want to find the remainder when 612 is divided by 29. This will give us the amount of rainfall left to make the days evenly rainy.

612 ÷ 29 = 21 with a remainder of 3

So, 3 inches of rain would be left to make the days evenly rainy.

### Answer: 3

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?

Llama 3 70B:

Reasoning: To find out how many trucks are needed, we can divide the total number of boxes by the capacity of each truck: 514 ÷ 371 = 1 with a remainder of 143. This means we need 1 truck and there will be 143 boxes left over.

### Answer: 143

Expected answer: 143

Correct? Yes

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?

Llama 3 70B:

Reasoning: To find the number of complete sets, we can divide the total number of sandcastles by the number of sandcastles in each set: 684 ÷ 230 = 2 with a remainder of 224. This means that 2 complete sets were formed, and 224 sandcastles were left over.

### 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?

Llama 3 70B:

Reasoning: To find the number of full packs, we can divide the total number of toy cars by the number of cars per pack: 735 ÷ 348 = 2 with a remainder of 39. This means we can fill 2 full packs with 348 cars each, leaving 39 cars remaining.

### 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?

Llama 3 70B:

Reasoning: To find the number of fully occupied territories, we can divide the total number of animals by the number of animals each territory can support: 386 ÷ 95 = 4 with a remainder of 6. This means there are 4 fully occupied territories and 1 territory with 6 animals.

### 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?

Llama 3 70B:

Reasoning: The number of trees that will be affected by the disease is 646. To find the number of healthy trees left, we subtract the number of affected trees from the total number of 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?

Llama 3 70B:

Reasoning: To find the maximum number of pieces, we need to divide the total length of the rope (934 meters) by the length of each piece (902 meters). 

Since 902 does not divide 934 exactly, we can find the remainder by performing the division:

934 ÷ 902 = 1 with a remainder of 32

This means we can cut 1 piece of 902 meters and have 32 meters left over. 

### Answer: 32

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?

Llama 3 70B:

Reasoning: To find out how many containers can be filled, we divide the total amount of milk by the capacity of each container: 561 ÷ 550 = 1 with a remainder of 11. This means one container can be filled, and 11 liters of milk will be left over.

### Answer: 11

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?

Llama 3 70B:

Reasoning: Jon has 259 puzzle pieces and each puzzle requires 258 pieces. To find out how many pieces will be left over, we need to subtract the number of pieces required for the puzzle from the total number of pieces Jon has.

259 (total pieces) - 258 (pieces required for the puzzle) = 1

### 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?

Llama 3 70B:

Reasoning: To find out how many bracelets the jewelry maker can make, we can divide the total number of beads by the number of beads per bracelet: 673 ÷ 49 = 13 with a remainder of 32. This means she can make 13 bracelets with 49 beads each, and she will have 32 beads left over.

### Answer: 32

Expected answer: 36

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of calls each operator will handle, we can divide the total number of calls by the number of operators.

927 calls ÷ 311 operators = 3 calls per operator (with a remainder)

Since 927 is not exactly divisible by 311, there will be a remainder. To find the remainder, we can use the modulo operator (%):

927 % 311 = 25

This means that 25 calls will be left over after dividing the calls equally among the 311 operators. The last operator will handle the remaining 25 calls, in addition to their equal share of 3 calls.

So, the last operator will handle 3 + 25 = 28 calls.

### Answer: 28

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?

Llama 3 70B:

Reasoning: To find out how many full packages John can make, we can divide the total number of pieces by the number of pieces in each package: 764 ÷ 589 = 1 with a remainder of 175.

This means John can make 1 full package with 589 pieces and will have 175 pieces left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many dresses the dressmaker can make, we can divide the total amount of fabric by the amount of fabric used per dress: 984 ÷ 217 = 4 with a remainder of 100. This means she can make 4 dresses and have some fabric left over.

To find out how many meters of fabric she will have left, we can subtract the total amount of fabric used (4 dresses × 217 meters/dress = 868 meters) from the original amount of fabric: 984 - 868 = 116 meters.

### Answer: 116

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?

Llama 3 70B:

Reasoning: To find the number of campsites, we can divide the total number of sleeping bags by the number of sleeping bags per campsite: 639 ÷ 374 = 1 with a remainder of 271.

This means that there will be 1 campsite with 374 sleeping bags, and 271 sleeping bags left over.

### Answer: 271

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?

Llama 3 70B:

Reasoning: To find the number of full boxes, we can divide the total number of pizzas by the number of pizzas each box can hold: 620 ÷ 578 = 1 with a remainder of 42. This means we can fill 1 box completely, and we will have 42 pizzas left over that don't fit into a box.

### 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?

Llama 3 70B:

Reasoning: To find the number of storage units needed, we can divide the total number of robots by the capacity of one storage unit: 820 ÷ 684 = 1 with a remainder of 136. This means we need 1 storage unit and 136 robots will not fit in the storage unit.

### 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?

Llama 3 70B:

Reasoning: To find the number of cycles, we can divide the total number of droplets by the number of droplets lost in each cycle: 516 ÷ 289 = 1 with a remainder of 237. This means the cloud will go through 1 full cycle and then lose 237 more droplets.

Since the cloud becomes entirely dry after each full cycle, the remaining droplets will be the ones lost in the last, incomplete cycle: 237.

### Answer: 237

Expected answer: 227

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of trucks needed, we can divide the total number of boxes by the capacity of each truck: 330 ÷ 4 = 82.5. Since we can't have a fraction of a truck, we'll round down to 82 trucks. Each truck can hold 4 boxes, so the total number of boxes that can be loaded is 82 × 4 = 328. To find the number of boxes left unloaded, we subtract the number of boxes loaded from the total number of boxes: 330 - 328 = 2.

### 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?

Llama 3 70B:

Reasoning: To find the number of crates the farmer can fill, we divide the total number of potatoes by the number of potatoes per crate: 649 ÷ 183 = 3 with a remainder of 122. This means the farmer can fill 3 crates with 183 potatoes each, leaving 122 potatoes remaining.

### Answer: 122

Expected answer: 100

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of boxes needed, we can divide the total number of shirts by the number of shirts each box can hold: 258 ÷ 67 = 3 with a remainder of 51. This means we can fill 3 boxes with 67 shirts each, leaving 258 - (3 x 67) = 258 - 201 = 57 shirts outside the boxes.

### Answer: 57

Expected answer: 57

Correct? Yes

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?

Llama 3 70B:

Reasoning: To find the number of gold coins each pirate will get, we can divide the total number of gold coins by the number of pirates: 995 ÷ 267 = 3 with a remainder of 44. This means each pirate will get 3 gold coins, and there will be 44 gold coins left over.

### Answer: 44

Expected answer: 194

Correct? No

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?

Llama 3 70B:

Reasoning: To find the number of full groups of 375 snails, we can divide 776 by 375. This gives us 776 ÷ 375 = 2 with a remainder of 26. This means we can make 2 full groups of 375 snails, and we will have 26 snails left over.

### 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?

Llama 3 70B:

Reasoning: To find the number of full boxes, we can divide the total number of pillows by the number of pillows per box: 589 ÷ 198 = 2 with a remainder of 193. This means they can fill 2 boxes with 198 pillows each, leaving 193 pillows outside the boxes.

### 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?

Llama 3 70B:

Reasoning: To find out how many necklaces the jewelry maker can make, we can divide the total number of beads by the number of beads per necklace: 633 ÷ 30 = 21 with a remainder of 3. This means she can make 21 necklaces and will have 3 beads left over.

### 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?

Llama 3 70B:

Reasoning: To find out how many coins John can put in each wallet, we need to divide the total number of coins by the number of wallets. This can be done by performing the division: 365 ÷ 140 = 2 with a remainder of 85.

This means John can put 2 coins in each of his 140 wallets, using a total of 2 x 140 = 280 coins. Since he started with 365 coins, he will have 365 - 280 = 85 coins left.

### 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?

Llama 3 70B:

Reasoning: To find the number of cartons that can be filled, we divide the total number of socks by the number of socks per carton: 743 ÷ 451 = 1 with a remainder of 292. This means we can fill 1 carton completely and have 292 socks left over.

### 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?

Llama 3 70B:

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

Let's subtract 771 from 923:

923 - 771 = 152

### 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?

Llama 3 70B:

Reasoning: Let's find out how many full groups of 104 people Iron Punch can teleport. We can do this by dividing the total number of people (442) by the number of people he can teleport at a time (104).

442 ÷ 104 = 4 with a remainder of 22

This means Iron Punch can teleport 4 full groups of 104 people, which is a total of 4 x 104 = 416 people.

To find out how many people are left in the building, we subtract the number of people already teleported from the total number of people:

442 - 416 = 26

So, 26 people will be left in the building for Iron Punch's last round of rescue.
### 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?

Llama 3 70B:

Reasoning: To find out how many packs the manufacturer can create, we can divide the total number of cards by the number of cards in each pack: 569 ÷ 68 = 8 with a remainder of 13. This means the manufacturer can create 8 packs with 68 cards each, and there will be 13 cards left over.

### Answer: 13

Expected answer: 25

Correct? No

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?

Llama 3 70B:

Reasoning: To find out how many boxes the store owner can fill, we can divide the total number of erasers (842) by the number of erasers per box (719). 

842 ÷ 719 = 1 with a remainder of 123.

This means the store owner can fill 1 box with 719 erasers and will have 123 erasers left over.

### Answer: 123

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?

Llama 3 70B:

Reasoning: To find the number of full boxes, we can divide the total number of carrots by the capacity of each box: 461 ÷ 244 = 1 with a remainder of 217. This means we can fill 1 box with 244 carrots, leaving 461 - 244 = 217 carrots unpacked.

### Answer: 217

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?

Llama 3 70B:

Reasoning: To find the number of complete groups, we can divide the total number of penguins by the number of penguins in each group: 309 ÷ 293 = 1 with a remainder of 16.

This means there will be 1 complete group of 293 penguins and 1 incomplete group with the remaining penguins.

The number of penguins in the final, possibly incomplete, group is the remainder: 16.

### 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?

Llama 3 70B:

Reasoning: To find out how many batches they can make, we divide the total number of slices by the number of slices used per batch: 580 ÷ 18 = 32 with a remainder of 4. This means they can make 32 batches and have 4 slices left over.
### 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?

Llama 3 70B:

Reasoning: To find out how many dresses the tailor can make, we divide the total amount of fabric by the amount used for each dress: 925 ÷ 529 = 1 with a remainder of 396. This means the tailor can make 1 dress and will have some fabric left over.

To find out how many meters of fabric will be left over, we take the remainder: 925 - 529 = 396.

### Answer: 396

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?

Llama 3 70B:

Reasoning: Let's find out how many full groups of 530 tourists can be formed: 976 ÷ 530 = 1 with a remainder of 446. This means we can form 1 full group of 530 tourists, and we'll be left with 976 - 530 = 446 tourists for the last group of the day.
### Answer: 446

Expected answer: 446

Correct? Yes