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?

DeepSeek 67B:

Reasoning:
The shark eats 461 fish in one sitting, and there are 535 fish in total.
So, after the shark's first meal, there will be 535 - 461 = <<535-461=74>>74 fish left.
Since there are fewer than 461 fish left, the shark will not eat again.
Therefore, there will be 74 fish leftover after the shark's dinner.
### 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?

DeepSeek 67B:

Reasoning:
The number of cookies left after distributing equal amounts to each orphanage can be found by finding the remainder when the total number of cookies is divided by the number of orphanages.
928 % 186 = <<928%186=104>>104
The baker has 104 cookies left.
### Answer: 104

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?

DeepSeek 67B:

Reasoning:
The number of pizza boxes that can be filled is 975/196 = <<975/196=5>>5.
The total number of slices that can be put in the pizza boxes is 5*196 = <<5*196=980>>980.
The number of leftover slices is 980-975 = <<980-975=5>>5.
### Answer: 5

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?

DeepSeek 67B:

Reasoning:
The wizard has 932 stones and each creature requires 193 stones.
Let's assume the wizard summons x creatures.
The total number of stones used to summon creatures is 193 * x.
The number of stones left is 932 - (193 * x).
We need to find the value of x when the number of stones left is 0.
932 - (193 * x) = 0
193 * x = 932
x = 932 / 193
x = 4.82
Since the wizard cannot summon a fraction of a creature, he can only summon whole creatures. Therefore, the wizard can summon a maximum of 4 creatures.
The number of stones left is 932 - (193 * 4) = 932 - 772 = 160 stones.
### 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?

DeepSeek 67B:

Reasoning:
The total area of the house is 660 square feet.
Each tile can cover 335 square feet.
To find out how many tiles are needed, we divide the total area by the area covered by each tile: 660 / 335 = 1.97 (rounded to two decimal places).
Since we can't have a fraction of a tile, we round up to the nearest whole number, which is 2 tiles.
To find out how many square feet the last tile needs to cover, we subtract the area covered by the first tile from the total area: 660 - 335 = 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?

DeepSeek 67B:

Reasoning: The company can fill up 473/22 = <<473/22=21.5>>21.5 containers.
Since the company can't fill up a fraction of a container, it will fill up 21 containers.
The company will have 473 - (21 * 22) = <<473-(21*22)=1>>1 gallon of juice left.
### Answer: 1

Expected answer: 11

Correct? No

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?

DeepSeek 67B:

Reasoning:
The number of cars that can be packed into boxes is 979/108 = <<979/108=9>>9 boxes.
The number of cars left unpacked is 979 - (9*108) = <<979-(9*108)=13>>13 cars.
### Answer: 13

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?

DeepSeek 67B:

Reasoning:
The factory can make 994 crayons in one operation, but each box can only hold 425 crayons. To find out how many crayons will be left out of the boxes, we need to divide the total number of crayons by the number of crayons each box can hold and then subtract the number of boxes from the total number of crayons.

994 crayons / 425 crayons per box = 2.34 boxes

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

2.34 boxes ≈ 2 boxes

Now, we'll subtract the number of boxes from the total number of crayons to find out how many crayons will be left out of the boxes.

994 crayons - (2 boxes * 425 crayons per box) = 994 crayons - 850 crayons = 144 crayons

So, 144 crayons will be left out of the boxes after the operation.

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?

DeepSeek 67B:

Reasoning:
The total number of tigers is 740.
Each zone can hold up to 696 tigers.
To find out how many tigers will be left in the last zone, we need to divide the total number of tigers by the number of zones.
Let's assume there are x zones in the reserve.
So, the number of tigers in each zone will be 740/x.
Since each zone can hold up to 696 tigers, the number of tigers in the last zone will be 740 - (x-1)*696.
To find the value of x, we need to solve the equation 740/x = 696.
740 = 696x
x = 740/696
x = 1.06
Since we can't have a fraction of a zone, we round x up to 2.
So, there are 2 zones in the reserve.
The number of tigers in the last zone will be 740 - (2-1)*696 = 740 - 696 = 44.
Therefore, there will be 44 tigers left in the last zone.
### 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?

DeepSeek 67B:

Reasoning:
The number of hats that can be put in boxes is 830/421 = <<830/421=1.97>>1.97.
Since we cannot have a fraction of a box, we round down to 1 box.
Therefore, there will be 830 - (1 * 421) = <<830-(1*421)=209>>209 hats left over.
### Answer: 209

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?

DeepSeek 67B:

Reasoning:
The fisherman catches 575 fish every month, so the number of fish left in the lake after a month is 871 - 575 = 296.
### Answer: 296

Expected answer: 296

Correct? Yes

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?

DeepSeek 67B:

Reasoning:
The number of beach balls that will not fit into the bags is the remainder when 891 is divided by 119.
891 divided by 119 is 7 with a remainder of 66.
Therefore, 66 beach balls will not fit into the bags.
### Answer: 66

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?

DeepSeek 67B:

Reasoning:
There are 544 stars in total, and each cluster has 446 stars.
To find out how many clusters can be formed, we divide the total number of stars by the number of stars in each cluster: 544 / 446 = 1.22.
Since we can't have a fraction of a cluster, we round down to the nearest whole number, which is 1.
Therefore, there will be 1 cluster formed, and the remaining stars will be ungrouped.
To find out how many stars will remain ungrouped, we subtract the number of stars in the cluster from the total number of stars: 544 - (1 * 446) = 98.
So, 98 stars will remain ungrouped.
### 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?

DeepSeek 67B:

Reasoning:
The number of socks that can be packaged is 805/132 = <<805/132=6>>6 sets.
The number of socks that will remain unpackaged is 805 - (6*132) = <<805-(6*132)=1>>1 sock.
### Answer: 1

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?

DeepSeek 67B:

Reasoning:
The total number of members is 759, and the telescope can handle 228 people each night.
To find out how many nights are needed to accommodate all members, we divide the total number of members by the number of people the telescope can handle each night: 759 / 228 = 3.31 (rounded to two decimal places).
Since we can't have a fraction of a night, we round up to the nearest whole number, which is 4 nights.
To find out how many people will view the event on the final night, we subtract the number of people who viewed the event on the previous nights from the total number of members: 759 - (228 * 3) = 759 - 684 = 75.
Therefore, 75 people will view the event 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?

DeepSeek 67B:

Reasoning:
The postman has 891 letters to deliver and each mailbox can hold 616 letters.
To find out how many letters will remain in the last mailbox, we need to divide the total number of letters by the number of letters each mailbox can hold and find the remainder.
891 � 616 = 1 remainder 275
Therefore, there will be 275 letters remaining in the last mailbox.
### 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?

DeepSeek 67B:

Reasoning:
Let's denote the number of jumps as x.
The total number of flies eaten by the frog is 258 * x.
The number of flies left is 941 - 258 * x.
We need to find the value of x when the number of flies left is 0.
941 - 258 * x = 0
258 * x = 941
x = 941 / 258
x = 3.64
Since the number of jumps must be a whole number, we round down to the nearest whole number.
x = 3
The number of flies left is 941 - 258 * 3 = 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?

DeepSeek 67B:

Reasoning:
If all the spaces are evenly distributed between 66 rows, then each row will have 991/66 = <<991/66=15>>15 spaces.
Since the last row cannot have more than 15 spaces, the number of spare spaces in the last row will be 15 - (991 mod 66).

Calculating the modulus:
991 mod 66 = 991 - (991 // 66) * 66 = 991 - 15 * 66 = 991 - 990 = 1

So, there will be 15 - 1 = <<15-1=14>>14 spare spaces in the last row.

Answer: 14

Expected answer: 1

Correct? No

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?

DeepSeek 67B:

Reasoning:
To find out how many liters overflow, we need to divide the total amount of water by the number of bottles and then subtract the result from the total amount of water.

193 liters / 167 bottles = 1.15 liters per bottle (rounded to two decimal places)

Now, we subtract the total amount of water per bottle from the total amount of water:

193 liters - (1.15 liters/bottle * 167 bottles) = 193 liters - 191.05 liters = 1.95 liters

So, 1.95 liters of water overflows and can't be distributed to the bottles.
### Answer: 1.95

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?

DeepSeek 67B:

Reasoning:
The number of eggs that can be distributed evenly among the rows is 996 - (996 % 319).
The number of eggs left over is 996 % 319.

Python code:

```python
# number of eggs
eggs = 996
# number of eggs per row
eggs_per_row = 319

# calculate the number of eggs that can be distributed evenly
evenly_distributed_eggs = eggs - (eggs % eggs_per_row)

# calculate the number of eggs left over
left_over_eggs = eggs % eggs_per_row

print(left_over_eggs)
```

Output:

```
167
```

So, there would be 167 eggs left over to be put in the last row.

Expected answer: 39

Correct? No

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?

DeepSeek 67B:

Reasoning:
The number of bulbs that can be packed in packs of 205 is 691/205 = <<691/205=3.36>>3.36.
Since we can't have a fraction of a pack, we can only pack 3 packs, which is 3*205 = <<3*205=615>>615 bulbs.
The number of bulbs left unpacked is 691-615 = <<691-615=76>>76 bulbs.
### 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?

DeepSeek 67B:

Reasoning:
The number of bales of hay that can be stored in each barn is 259.
To find out how many bales of hay will be left for the last barn, we need to divide the total number of bales of hay by the number of bales that can be stored in each barn and find the remainder.

330 / 259 = 1 remainder 71

So, there will be 71 bales of hay left for the last barn.
### 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?

DeepSeek 67B:

Reasoning:
If one team can install 137 windows per day, then the number of windows remaining for the next day can be calculated by subtracting the number of windows installed from the total number of windows.

Let's assume there are x teams working on the installation.

The number of windows installed in one day is 137 * x.

The number of windows remaining for the next day is 166 - (137 * x).

We need to find the value of x that makes the number of windows remaining for the next day equal to 0.

166 - (137 * x) = 0

Solving for x:

137 * x = 166

x = 166 / 137

x = 1.20732

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

x = 2

So, there will be 2 teams working on the installation.

The number of windows remaining for the next day is 166 - (137 * 2) = 166 - 274 = -108.

Since the number of windows remaining for the next day is negative, it means that all windows have been installed and there are 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?

DeepSeek 67B:

Reasoning:
The number of campers that can be accommodated in the tents is 445*1 = 445.
The number of campers that will be left over is 533-445 = 88.
### Answer: 88

Expected answer: 88

Correct? Yes

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?

DeepSeek 67B:

Reasoning:
There are 999 seashells in total.
Each set contains 474 seashells.
To find out how many sets can be made, we divide the total number of seashells by the number of seashells in each set: 999 / 474 = 2.1.
Since we can't have a fraction of a set, we round down to the nearest whole number, which is 2 sets.
To find out how many seashells will be left without a set, we subtract the number of seashells in the sets from the total number of seashells: 999 - (2 * 474) = 999 - 948 = 51.
So, there will be 51 seashells left without a set.
### 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?

DeepSeek 67B:

Reasoning:
The tailor can make 366/160 = <<366/160=2.2875>>2.2875 skirts.
Since the tailor cannot make a fraction of a skirt, they can make 2 skirts.
The total fabric used for the skirts is 2 * 160 = <<2*160=320>>320 meters.
The fabric left after making the skirts is 366 - 320 = <<366-320=46>>46 meters.
### 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?

DeepSeek 67B:

Reasoning: The number of dolls that can be packed in boxes is 993/327 = <<993/327=3>>3.
The number of dolls left is 993-3*327 = <<993-3*327=0>>0.
### 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?

DeepSeek 67B:

Reasoning:
To find out how many stuffed animals each friend will get, we divide the total number of stuffed animals by the number of friends: 964 / 839 = 1.146 (rounded to four decimal places).
Since we can't distribute a fraction of a stuffed animal, we need to find the whole number of stuffed animals that can be distributed. To do this, we round down the decimal to the nearest whole number: 1.
So, each friend will get 1 stuffed animal.
To find out how many stuffed animals will be left over, we subtract the number of stuffed animals given to the friends from the total number of stuffed animals: 964 - (839 * 1) = 964 - 839 = 125.
Therefore, the child will have 125 stuffed animals left over.
The answer is: 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?

DeepSeek 67B:

Reasoning:
The number of teddy bears that can be packed in the boxes is 369 teddy bears / 270 teddy bears per box = 1.3666666666666667 boxes.
Since we can't have a fraction of a box, we round down to the nearest whole number of boxes, which is 1 box.
Therefore, there will be 369 teddy bears - (1 box * 270 teddy bears per box) = 99 teddy bears left.
### 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?

DeepSeek 67B:

Reasoning: The number of snowmen built is 804/184 = <<804/184=4.37>>4.37.
Since we can't have a fraction of a snowman, we round down to 4 snowmen.
The number of snowballs used is 4*184 = <<4*184=736>>736.
The number of snowballs left is 804-736 = <<804-736=68>>68.
### 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?

DeepSeek 67B:

Reasoning:
To find out how many rings will be left over, we need to divide the total number of rings by the number of boxes and then find the remainder.

843 (total number of rings) � 839 (number of boxes) = 0 remainder 843

So, there will be 843 rings left over.

Expected answer: 4

Correct? No

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?

DeepSeek 67B:

Reasoning:
The company has 819 bricks and each fireplace requires 583 bricks. To find out how many fireplaces they can build, we divide the total number of bricks by the number of bricks required for each fireplace:

819 bricks / 583 bricks per fireplace = 1.4 fireplace

Since they can't build a fraction of a fireplace, they can build 1 fireplace. To find out how many bricks will be left over, we subtract the number of bricks used for the fireplace from the total number of bricks:

819 bricks - 583 bricks = 236 bricks

So, they will have 236 bricks left over.
### 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?

DeepSeek 67B:

Reasoning:
The marshmallow factory produces 998 marshmallows per minute, but the packaging machine can only hold 957 marshmallows at a time.
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.

998 - 957 = 41

So, there will be 41 marshmallows left un-packaged in a minute after all the packaging machines are filled.

### 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?

DeepSeek 67B:

Reasoning:
Princess can create 984/426 = <<984/426=2.31>>2 tributes.
Since she cannot create a fraction of a tribute, she will create 2 tributes.
The number of roses left undistributed will be 984 - (2*426) = <<984-(2*426)=116>>116.
### Answer: 116

Expected answer: 132

Correct? No

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?

DeepSeek 67B:

Reasoning:
If each line in the song has 23 words, then the total number of words in the song is 334/23 = <<334/23=14.56521739130435>>14.56521739130435 lines.
Since we can't have a fraction of a line, we round down to the nearest whole number, which is 14 lines.
Therefore, the incomplete line at the end of the song would have 334 - (14 * 23) = <<334-(14*23)=1>>1 word.
### Answer: 1

Expected answer: 12

Correct? No

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?

DeepSeek 67B:

Reasoning: The teacher will have 928 mod 336 = <<928 mod 336=264>>264 pages left over to print.
### Answer: 264

Expected answer: 256

Correct? No

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?

DeepSeek 67B:

Reasoning:
The number of sharks that can be tagged in complete groups is 972/667 = <<972/667=1.457>>1.457 groups.
Since we can't have a fraction of a group, we round down to the nearest whole number, which is 1 group.
Therefore, the scientists can tag 1 group of 667 sharks, leaving 972 - 667 = <<972-667=305>>305 sharks 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?

DeepSeek 67B:

Reasoning:
The number of blocks of cheese that can be filled in the boxes is 686/349 = <<686/349=2>>2.
The number of blocks of cheese left over is 686 - (2*349) = <<686-(2*349)=2>>2.
### Answer: 2

Expected answer: 337

Correct? No

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?

DeepSeek 67B:

Reasoning:
The snowplow can clear 170 centimeters of snow at a time.
To find out how many centimeters of snow will be left over after the final pass, we need to divide the total snowfall by the amount the snowplow can clear at a time and then subtract the result from the total snowfall.

Let's calculate:
Total snowfall = 513 centimeters
Amount the snowplow can clear at a time = 170 centimeters

Number of passes = Total snowfall / Amount the snowplow can clear at a time = 513 / 170 = 3

Snow left over after the final pass = Total snowfall - (Number of passes * Amount the snowplow can clear at a time) = 513 - (3 * 170) = 513 - 510 = 3

So, there will be 3 centimeters of snow left over after the final pass.

### 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?

DeepSeek 67B:

Reasoning:
The compass maker can install 661/510 = <<661/510=1.2941176470588236>>1 full compasses.
Since he cannot install a fraction of a compass, he can install 1 full compass.
After installing 1 full compass, he will have 661 - 510 = <<661-510=151>>151 needles left.
### 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?

DeepSeek 67B:

Reasoning: The factory has 380 chairs and each shop can only hold 310 chairs.
To find out how many chairs will be left at the factory, we need to divide the total number of chairs by the number of chairs each shop can hold and then subtract the result from the total number of chairs.
380 chairs / 310 chairs per shop = 1.225726 (rounded to 5 decimal places)
Since we can't have a fraction of a shop, we need to round down to the nearest whole number.
So, the factory can distribute the chairs to 1 shop.
To find out how many chairs will be left at the factory, we subtract the number of chairs each shop can hold from the total number of chairs.
380 chairs - 310 chairs = 70 chairs
Therefore, there will be 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?

DeepSeek 67B:

Reasoning:
The number of tomatoes left over is the remainder when the total number of tomatoes is divided by the number of tomatoes in each box.
929 divided by 154 gives a quotient of 6 and a remainder of 1.
Therefore, there will be 1 tomato left over.
### Answer: 1

Expected answer: 5

Correct? No

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?

DeepSeek 67B:

Reasoning:
The number of pairs of ice skates that will be left over after all the boxes are filled up equally is the remainder when 454 is divided by 128.
454 divided by 128 is 3 with a remainder of 62.
Therefore, there will be 62 pairs of ice skates left over after all the boxes are filled up equally.
### Answer: 62

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?

DeepSeek 67B:

Reasoning:
The village consumes power in increments of 385 units. To find out how many increments of 385 units are there in 506 units, we divide 506 by 385.

506 � 385 = 1 remainder 121

This means that the village consumes 1 increment of 385 units, leaving 121 units of power left over.

### 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?

DeepSeek 67B:

Reasoning:
Blast Man has 338 energy units in his power cells.
Each energy blast he fires uses 16 energy units.
Let's assume Blast Man fires x energy blasts.
The total energy used will be 16x.
The remaining energy units in his power cells will be 338 - 16x.
We need to find the value of x when the remaining energy units are equal to 0.
So, 338 - 16x = 0.
Solving for x, we get x = 338/16 = 21.
Therefore, Blast Man will have 338 - 16*21 = 338 - 336 = 2 energy units left in his power cells.
### 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?

DeepSeek 67B:

Reasoning:
The number of students that can be transported by one bus is 144.
The total number of students is 530.
To find out how many students will be on the last bus, we need to find the remainder when 530 is divided by 144.
530 divided by 144 gives a quotient of 3 and a remainder of 82.
Therefore, there will be 82 students on the last bus.
### Answer: 82

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?

DeepSeek 67B:

Reasoning:
The wizard has 999 spells and wants to distribute them among 951 apprentices.
To find out how many spells each apprentice will get, we divide the total number of spells by the number of apprentices: 999 / 951 = 1.0515151515151514.
Since we can't distribute a fraction of a spell, we round down to the nearest whole number, which is 1.
So, each apprentice will get 1 spell.
To find out how many spells the wizard will have left, we subtract the number of spells given out from the total number of spells: 999 - (951 * 1) = 999 - 951 = 48.
Therefore, the wizard will have 48 spells left after giving out as many as he can to his apprentices.
### 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?

DeepSeek 67B:

Reasoning:
The number of scooters that can be loaded onto the trucks is 767 scooters / 369 scooters per truck = 2 trucks.
The number of scooters left after all the trucks are loaded is 767 scooters - (2 trucks * 369 scooters per truck) = 767 scooters - 738 scooters = 29 scooters.
### 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?

DeepSeek 67B:

Reasoning:
To find out how many raindrops can be formed, we divide the total number of droplets by the number of droplets needed to form a raindrop: 846 / 722 = 1.167. Since we can't have a fraction of a raindrop, we round down to the nearest whole number, which is 1.

Now, to find out how many droplets are left unconverted, we subtract the number of droplets used to form raindrops from the total number of droplets: 846 - (722 * 1) = 846 - 722 = 124.

So, there would be 124 droplets left unconverted in the cloud after reaching the maximum number of raindrops.
### 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?

DeepSeek 67B:

Reasoning:
The total number of unicorns is 265, and the total number of sections is 146.
If each section is occupied by an equal number of unicorns, then the number of unicorns in each section is 265/146 = 1.81 (rounded to two decimal places).
Since we cannot have a fraction of a unicorn, we need to find the number of whole unicorns that can fit in the last incomplete section.
To do this, we need to find the remainder when 265 is divided by 146.
265 divided by 146 gives a quotient of 1 and a remainder of 119.
Therefore, the last incomplete section will have 119 unicorns.
The answer is: 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?

DeepSeek 67B:

Reasoning:
To find out how many players will be left waiting after filling all the matches, we need to subtract the total number of players that can enter a match from the total number of players waiting.

Total players waiting = 923
Players that can enter a match = 383

Number of players left waiting = Total players waiting - Players that can enter a match
Number of players left waiting = 923 - 383
Number of players left waiting = 540

So, 540 players will be left waiting after filling all the matches.

### Answer: 540

Expected answer: 157

Correct? No

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?

DeepSeek 67B:

Reasoning:
To find out how many cannonballs will be left uncrated, we need to divide the total number of cannonballs by the number of crates and then find the remainder.

923 (total cannonballs) � 499 (total crates) = 1 cannonball per crate with a remainder of 424.

So, there will be 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?

DeepSeek 67B:

Reasoning: The store has 530-518 = <<530-518=12>>12 string spools left.
### 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?

DeepSeek 67B:

Reasoning: The total number of gallons that can be held in the jugs is 913/39 = <<913/39=23.4>>23.4 jugs.
Since we can't have a fraction of a jug, we round down to 23 jugs.
The total number of gallons that can be held in the jugs is 23*39 = <<23*39=897>>897 gallons.
The number of gallons left over is 913-897 = <<913-897=16>>16 gallons.
### Answer: 16

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?

DeepSeek 67B:

Reasoning:
The number of dolls left unarranged can be found by taking the total number of dolls and subtracting the number of dolls arranged in rows.
The total number of dolls arranged in rows is the number of dolls per row multiplied by the number of rows.
The number of rows is the total number of dolls divided by the number of dolls per row.
So, the number of dolls left unarranged is 603 - (369 * (603 / 369)).

Calculating the number of dolls left unarranged:
603 - (369 * (603 / 369)) = 603 - (369 * 1.64) = 603 - 611.56 = -8.56

Since the number of dolls left unarranged cannot be negative, we can conclude that all the dolls were arranged in rows and there were no dolls left unarranged.

### Answer: 0

Expected answer: 234

Correct? No

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?

DeepSeek 67B:

Reasoning: The jewelry maker can make 850/631 = <<850/631=1.35>>1 necklace.
Since the jewelry maker cannot make a fraction of a necklace, they can only make 1 necklace.
The jewelry maker will have 850 - 631 = <<850-631=219>>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?

DeepSeek 67B:

Reasoning: The number of grapes that can be packaged into boxes is 952/380 = <<952/380=2.5>>2.5 boxes.
Since the gardener can only fill whole boxes, he can fill 2 boxes.
The number of grapes left after filling the boxes is 952 - (2*380) = <<952-(2*380)=92>>92 grapes.
### Answer: 92

Expected answer: 192

Correct? No

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?

DeepSeek 67B:

Reasoning:
If every 44 steps lead to a significant place or clue, then the number of significant places or clues can be found by dividing the total number of steps by 44.
The number of steps left after reaching the last significant place or clue can be found by subtracting the total number of steps from the number of significant places or clues multiplied by 44.

Let's calculate:
Number of significant places or clues = 236 / 44 = 5.36
Since we can't have a fraction of a significant place or clue, we round down to the nearest whole number.
Number of significant places or clues = 5

Number of steps left after reaching the last significant place or clue = 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?

DeepSeek 67B:

Reasoning:
The machine forms groups of 507 bubbles each. To find out how many groups of 507 bubbles can be formed from 932 bubbles, we divide 932 by 507.

932 � 507 = 1 remainder 425

This means that the machine can form 1 complete group of 507 bubbles, and there will be 425 bubbles left over for the final, incomplete group.

So, the machine makes 425 bubbles in its final, incomplete group.

### 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?

DeepSeek 67B:

Reasoning:
There are 931 kids in total and each swing set can accommodate 34 kids at a time.
To find out how many kids will be waiting for their turn, we need to subtract the number of kids that can be accommodated by the swing sets from the total number of kids.
The number of kids that can be accommodated by the swing sets is 34 kids per swing set.
To find out how many swing sets are needed to accommodate all the kids, we divide the total number of kids by the number of kids per swing set.
931 kids / 34 kids per swing set = 27.38181818181818 swing sets.
Since we can't have a fraction of a swing set, we round up to the nearest whole number.
So, we need 28 swing sets to accommodate all the kids.
To find out how many kids will be waiting for their turn, we subtract the number of kids that can be accommodated by the swing sets from the total number of kids.
931 kids - (28 swing sets * 34 kids per swing set) = 931 kids - 952 kids = -21 kids.
Since the number of kids waiting for their turn is negative, it means that all the kids can be accommodated by the swing sets and there will be no kids waiting for their turn.
### 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?

DeepSeek 67B:

Reasoning:
John has 943 dollar bills and each wallet can hold 433 dollar bills.
To find out how many wallets John can fill, we divide the total number of dollar bills by the number of dollar bills each wallet can hold: 943 / 433 = 2.18 wallets.
Since John can't have a fraction of a wallet, he can fill 2 wallets completely.
To find out how many dollar bills are left, we subtract the total number of dollar bills in the filled wallets from the total number of dollar bills: 943 - (2 * 433) = 943 - 866 = 77 dollar bills.
So, John has 77 dollar bills left.
The answer is: 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?

DeepSeek 67B:

Reasoning: The helicopter can carry 177 passengers in one trip, so after the first full trip, there will be 240-177 = <<240-177=63>>63 passengers left behind.
### 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?

DeepSeek 67B:

Reasoning: The number of flowers that can fit in the flowerbeds is 555*2 = <<555*2=1110>>1110.
The number of flowers left to plant is 982-1110 = <<982-1110=-128>>-128.
The gardener will have -128 flowers left to plant, which means the gardener will have 128 flowers left to plant.
### Answer: 128

Expected answer: 427

Correct? No

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?

DeepSeek 67B:

Reasoning:
The number of plants remaining after dividing them into groups of 5 can be found by taking the remainder of the division of the total number of plants by 5.
203 divided by 5 is 40 with a remainder of 3.
Therefore, 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?

DeepSeek 67B:

Reasoning: The number of bundles the gardener can create is 355/16 = <<355/16=22.1875>>22.
The number of carrots left is 355 - (22*16) = <<355-(22*16)=3>>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?

DeepSeek 67B:

Reasoning:
The total rainfall over 29 days is 612 inches.
To find the average rainfall per day, we divide the total rainfall by the number of days: 612/29 = 21 inches.
To make the days evenly rainy, we need to distribute the rainfall evenly over the 29 days.
Since the average rainfall per day is 21 inches, we need to distribute 21 inches of rain over each day.
To find the total amount of rain that needs to be distributed, we multiply the average rainfall per day by the number of days: 21 * 29 = 609 inches.
To find the amount of rain that would be left to make the days evenly rainy, we subtract the total amount of rain that needs to be distributed from the total rainfall: 612 - 609 = 3 inches.
Therefore, 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?

DeepSeek 67B:

Reasoning:
The number of boxes that can be loaded into one truck is 371.
The total number of boxes is 514.
To find out how many boxes will be left over, we need to subtract the number of boxes that can be loaded into one truck from the total number of boxes.
514 - 371 = 143
Therefore, 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?

DeepSeek 67B:

Reasoning:
The number of complete sets of sandcastles is 684/230 = <<684/230=2>>2.
The number of sandcastles left over is 684 - (2*230) = <<684-(2*230)=114>>114.
### Answer: 114

Expected answer: 224

Correct? No

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?

DeepSeek 67B:

Reasoning:
To find out how many toy cars will be left over after all full packs have been filled, we need to divide the total number of toy cars by the number of cars in each pack and find the remainder.

735 toy cars / 348 cars per pack = 2 packs with a remainder of 39 cars.

So, there will be 39 toy cars left over after all full packs have been filled.
### 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?

DeepSeek 67B:

Reasoning:
The number of animals that can be supported by each territory is 95.
The total number of animals is 386.
To find out how many territories are needed to accommodate all the animals, we divide the total number of animals by the number of animals that can be supported by each territory: 386 / 95 = 4.
Since the number of animals is not a multiple of 95, there will be a remainder.
To find out how many animals will be left in the last not fully occupied territory, we divide the total number of animals by the number of animals that can be supported by each territory and find the remainder: 386 % 95 = 36.
Therefore, there will be 36 animals left in the last not fully occupied territory.
### Answer: 36

Expected answer: 6

Correct? No

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?

DeepSeek 67B:

Reasoning:
If the disease affects 646 trees, then the number of healthy trees remaining is 801 - 646 = <<801-646=155>>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?

DeepSeek 67B:

Reasoning:
The 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.

To find out how many pieces can be cut from the rope, we divide the total length of the rope by the length of each piece:

934 meters / 902 meters = 1.036 (rounded to 4 decimal places)

Since we can't have a fraction of a piece, we can only cut 1 piece from the rope.

Now, to find out how many meters will the last piece of the rope be, we subtract the length of the first piece from the total length of the rope:

934 meters - 902 meters = 32 meters

So, the last piece of the rope will be 32 meters in length.

### 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?

DeepSeek 67B:

Reasoning:
The number of liters of milk left over each day after filling the containers is equal to the total amount of milk produced minus the total amount of milk that can be packaged in the containers.

The total amount of milk produced each day is 561 liters.
The total amount of milk that can be packaged in the containers is 550 liters.

So, the number of liters of milk left over each day after filling the containers is 561 - 550 = 11 liters.

### 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?

DeepSeek 67B:

Reasoning: Jon has 259 puzzle pieces and each puzzle requires 258 pieces.
Once Jon completes a full puzzle, he will have 259-258 = <<259-258=1>>1 piece left over.
### 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?

DeepSeek 67B:

Reasoning:
The number of bracelets she can make is 673/49 = <<673/49=13.73795276>>13 bracelets.
Since she can't make a fraction of a bracelet, she can make 13 bracelets.
The number of beads she will have left is 673 - (13 * 49) = <<673-(13*49)=13>>13 beads.
### Answer: 13

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?

DeepSeek 67B:

Reasoning:
The number of calls that each operator will handle is 927/311 = 3.
The last operator will handle the same number of calls as the other operators, which is 3.
### Answer: 3

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?

DeepSeek 67B:

Reasoning:
John has 764 pieces for his jigsaw puzzle, and every package should contain 589 pieces.
To find out how many pieces will be left outside without a package, we need to divide the total number of pieces by the number of pieces in each package and then subtract the result from the total number of pieces.

Let's calculate:
Number of pieces in each package = 589
Total number of pieces = 764

Number of packages = Total number of pieces / Number of pieces in each package = 764 / 589 = 1 (with a remainder of 175)

So, John can fill 1 package with 589 pieces, and there will be 175 pieces left outside without a package.

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?

DeepSeek 67B:

Reasoning:
The dressmaker can make 984/217 = <<984/217=4.5>>4.5 dresses.
Since she can't make a fraction of a dress, she can make 4 dresses.
The total amount of fabric used is 4*217 = <<4*217=868>>868 meters.
The amount of fabric left is 984-868 = <<984-868=116>>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?

DeepSeek 67B:

Reasoning:
If each campsite is supplied with 374 sleeping bags, then the total number of sleeping bags needed for all the campsites is 374 * number of campsites.
To find the number of campsites, we divide the total number of sleeping bags by the number of sleeping bags per campsite: 639 / 374 = 1 campsite.
Since there is only 1 campsite, there will be 639 - 374 = 265 sleeping bags left.
### Answer: 265

Expected answer: 265

Correct? Yes

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?

DeepSeek 67B:

Reasoning:
The number of pizzas that can fit into a box is 578.
The total number of pizzas made is 620.
To find out how many pizzas will be left over, we need to divide the total number of pizzas by the number of pizzas that can fit into a box and then subtract the result from the total number of pizzas.

620 pizzas / 578 pizzas per box = 1.07 boxes
Since we can't have a fraction of a box, we round down to the nearest whole number, which is 1 box.

Now, we subtract the number of pizzas that can fit into a box from the total number of pizzas:
620 pizzas - (1 box * 578 pizzas per box) = 620 pizzas - 578 pizzas = 42 pizzas

So, there will be 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?

DeepSeek 67B:

Reasoning:
The number of robots that will not fit in the storage units is the remainder when 820 is divided by 684.
820 divided by 684 is 1 remainder 136.
Therefore, 136 robots will not fit in the storage units.
### 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?

DeepSeek 67B:

Reasoning:
The cloud loses water droplets at an equal rate, and it becomes entirely dry after every 289 droplets. This means that the cloud loses 289 droplets in each cycle.

To find out how many droplets will be left when the cloud is dry after the final cycle, we need to determine how many cycles the cloud goes through.

We can do this by dividing the initial number of droplets (516) by the number of droplets lost in each cycle (289).

516 � 289 = 1.79 (rounded to two decimal places)

Since the cloud loses droplets at an equal rate, it will go through 1 full cycle and part of another cycle. In the first full cycle, the cloud loses 289 droplets, leaving 227 droplets remaining.

In the second cycle, the cloud loses 289 - 227 = 62 droplets.

So, when the cloud is dry after the final cycle, there will be 0 droplets left.

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?

DeepSeek 67B:

Reasoning: The number of boxes that can be loaded into the trucks is 330/4 = <<330/4=82.5>>82.5.
Since we cannot have a fraction of a truck, we need to round down to the nearest whole number.
Therefore, 82 trucks can be filled, leaving 330 - 82*4 = <<330-82*4=10>>10 boxes unloaded.
### Answer: 10

Expected answer: 2

Correct? No

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?

DeepSeek 67B:

Reasoning: The number of potatoes that will be left after all crates are filled to their maximum capacity is the remainder when the total number of potatoes is divided by the number of potatoes per crate.
649 % 183 = <<649%183=136>>136
### Answer: 136

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?

DeepSeek 67B:

Reasoning:
The number of shirts that can be packed in boxes is 258/67 = <<258/67=3.857>>3.857 boxes.
Since we can't have a fraction of a box, we round down to the nearest whole number, which is 3 boxes.
Therefore, 3 boxes can pack 3*67 = <<3*67=201>>201 shirts.
The number of shirts left outside the boxes is 258-201 = <<258-201=57>>57 shirts.
### 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?

DeepSeek 67B:

Reasoning:
To find out how many gold coins will be left over, we need to divide the total number of gold coins by the number of pirates and then find the remainder.

995 gold coins / 267 pirates = 3.72 (rounded to two decimal places)

Since we can't have a fraction of a gold coin, we need to find the whole number of gold coins that can be evenly divided among the pirates.

995 gold coins / 267 pirates = 3 gold coins with 225 gold coins left over.

So, there will be 225 gold coins left over.

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?

DeepSeek 67B:

Reasoning:
776 snails divided by 375 snails per group gives a quotient of 2 and a remainder of 6.
So, there will be 6 snails left in the final group.
### Answer: 6

Expected answer: 26

Correct? No

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?

DeepSeek 67B:

Reasoning:
The factory produces 589 pillows per day, and each box holds 198 pillows. To find out how many pillows will be left outside the boxes, we need to divide the total number of pillows by the number of pillows per box and find the remainder.

589 pillows % 198 pillows = 301 pillows

So, there will be 301 pillows left outside the boxes at the end of the day.
### Answer: 301

Expected answer: 193

Correct? No

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?

DeepSeek 67B:

Reasoning: The number of necklaces the jewelry maker can make is 633/30 = <<633/30=21>>21.
The number of beads she will have left is 633 - (21*30) = <<633-(21*30)=3>>3.
### 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?

DeepSeek 67B:

Reasoning:
John has 365 coins and 140 wallets. To find out how many coins he can put in each wallet, we divide the total number of coins by the number of wallets:
365 / 140 = 2.6071428571428571
Since John cannot put a fraction of a coin in each wallet, he will have to round down to the nearest whole number. In this case, he can put 2 coins in each wallet.
To find out how many coins will be left, we multiply the number of wallets by the number of coins per wallet and subtract the result from the total number of coins:
365 - (140 * 2) = 365 - 280 = 85
John will have 85 coins left.
The answer is: 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?

DeepSeek 67B:

Reasoning:
To find out how many socks are left unpacked, we need to divide the total number of socks produced by the number of socks in each carton and find the remainder.

743 socks % 451 socks = 292 socks

So, there are 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?

DeepSeek 67B:

Reasoning:
If 771 children can go down the slide without rest, then the number of children left waiting for their turn is 923 - 771 = <<923-771=152>>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?

DeepSeek 67B:

Reasoning:
Iron Punch can teleport 104 people at a time, so we need to find out how many times he can teleport a full group of 104 people.
The number of times he can teleport a full group is 442 / 104 = 4.3.
Since he can only teleport whole groups, he will teleport 4 full groups, leaving 4 * 104 = 416 people safe.
The number of people left in the building for his last round of rescue 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?

DeepSeek 67B:

Reasoning: The number of cards left over is the remainder when 569 is divided by 68.
569 divided by 68 equals 8 with a remainder of 55.
Therefore, the manufacturer will have 55 cards left over.
### Answer: 55

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?

DeepSeek 67B:

Reasoning:
To find out how many erasers will be left over, we need to divide the total number of erasers by the number of erasers in each box and find the remainder.

842 erasers / 719 erasers per box = 1 remainder 123

So, there will be 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?

DeepSeek 67B:

Reasoning: The number of full boxes that can be packed is 461/244 = <<461/244=1>>1.
The number of carrots left unpacked is 461 - 1*244 = <<461-1*244=217>>217.
### 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?

DeepSeek 67B:

Reasoning:
The number of penguins in the final group will be the remainder when the total number of penguins is divided by the number of penguins in each group.
309 divided by 293 gives a quotient of 1 and a remainder of 16.
Therefore, there will be 16 penguins in the final group.
### 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?

DeepSeek 67B:

Reasoning: The shop uses 18 slices of bread for each batch, and they have 580 slices of bread.
To find out how many batches they can make, we divide the total number of slices by the number of slices per batch: 580/18 = <<580/18=32.22222222222222>>32.22222222222222 batches.
Since they can't make a fraction of a batch, they can make 32 batches.
To find out how many slices they will have left, we subtract the number of slices used from the total number of slices: 580 - (32 * 18) = <<580-(32*18)=20>>20 slices.
### Answer: 20

Expected answer: 4

Correct? No

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?

DeepSeek 67B:

Reasoning:
The tailor has 925 meters of fabric and uses 529 meters of fabric to make each dress.
To find out how many dresses the tailor can make, we divide the total fabric by the fabric used for each dress: 925 / 529 = 1.75.
Since the tailor cannot make a fraction of a dress, we round down to the nearest whole number, which is 1 dress.
To find out how much fabric will be left over, we subtract the fabric used for the dress from the total fabric: 925 - 529 = 396 meters.
Therefore, the tailor will have 396 meters of fabric left over after completing the dresses.
### 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?

DeepSeek 67B:

Reasoning:
There are 976 tourists in total.
Each tour group can accommodate up to 530 people.
To find out how many tourists will be left for the last group, we need to divide the total number of tourists by the number of people each group can accommodate and then subtract the result from the total number of tourists.
976 / 530 = 1 (with a remainder of 446)
So, there will be 446 tourists left for the last group of the day.
### Answer: 446

Expected answer: 446

Correct? Yes