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DeepSeek Coder 33B on 4.NBT.B.6

Common Core Standard 4.NBT.B.6

This standard covers the following:

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

🔗 Problem

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 Coder 33B:

Reasoning: The shark eats 461 fish in one sitting. Since there are 535 fish in the tank, the shark will eat 461 fish 535/461 = <<535/461=1.15>>1.15 times. Since the shark only eats when there are 461 or more fish to consume, it will eat 1.15 times, which rounds down to 1 sitting. After this sitting, there will be 535 - 461 = <<535-461=74>>74 fish leftover.

Expected answer: 74

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The baker distributed 928 cookies to 186 orphanages. Since he distributed them equally, each orphanage got 928/186 = <<928/186=4.98>>4.98 cookies. Since he can't distribute a fraction of a cookie, he rounded down to 4 cookies per orphanage.
So, the total number of cookies distributed is 4*186 = <<4*186=744>>744 cookies.
The remaining cookies are 928 - 744 = <<928-744=184>>184 cookies.
### Answer: 184

Expected answer: 184

Correct? Yes

🔗 Follow-up

Problem: In the previously mentioned scenario, consider that the baker only baked 173 cookies instead of 928. He still plans on distributing equal amounts of cookies to the 186 orphanages. After giving out as many full sets as possible to each orphanage, how many cookies will the baker have left over this time?

DeepSeek Coder 33B:

Reasoning: The baker only baked 173 cookies. He plans on distributing these equally to the 186 orphanages. Since he can't distribute a fraction of a cookie, he rounds down to 0 cookies per orphanage.
So, the total number of cookies distributed is 0*186 = <<0*186=0>>0 cookies.
The remaining cookies are 173 - 0 = <<173-0=173>>173 cookies.
### Answer: 173

Expected answer: 173

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of pizza boxes that can be filled is 975/196 = <<975/196=5>>5. The total number of slices that can be filled is 5*196 = <<5*196=980>>980. The number of leftover slices is 975-980 = <<975-980=-5>>-5.
However, the number of leftover slices cannot be negative. This means that the pizza store has more pizza boxes than they can be filled with the available slices.

Expected answer: 191

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The wizard summoned 932/193 = <<932/193=4.87>>4.87 creatures. Since we can't have a fraction of a creature, we round down to 4 creatures.
The wizard used 4*193 = <<4*193=772>>772 stones.
The wizard has 932-772 = <<932-772=160>>160 stones left.
### Answer: 160

Expected answer: 160

Correct? Yes

🔗 Follow-up

Problem: After summoning several creatures, the wizard found an ancient tome that said each creature actually needed 544 magical stones, not 193. If he had followed this and summoned the creatures based on the 544-stone requirement, how many stones would the wizard have left?

DeepSeek Coder 33B:

Reasoning: The wizard summoned 932/544 = <<932/544=1.73>>1.73 creatures. Since we can't have a fraction of a creature, we round down to 1 creature.
The wizard used 1*544 = <<1*544=544>>544 stones.
The wizard has 932-544 = <<932-544=388>>388 stones left.

Expected answer: 388

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of tiles needed is 660/335 = <<660/335=2>>2 tiles.
The last tile will need to cover 660 - 2*335 = <<660-2*335=60>>60 square feet.
### Answer: 60

Expected answer: 325

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The company filled 473/22 = <<473/22=21.5>>21.5 containers.
The company will have 473 - 21.5*22 = <<473-21.5*22=13.5>>13.5 gallons of juice left.
### Answer: 13.5

Expected answer: 11

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of toy cars produced is 979. If they are packed into boxes of 108 cars each, this means there will be 979/108 = <<979/108=9>>9 boxes.
The total number of cars in these boxes is 9*108 = <<9*108=1044>>1044 cars.
The number of cars left unpacked is the total number of cars produced minus the number of cars in boxes.
979 - 1044 = <<979-1044=-65>>-65 cars will be left unpacked.
However, it is not possible to have a negative number of cars, so there must be a mistake in the problem.

Expected answer: 7

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The factory can make 994 crayons in one operation. Each box can hold 425 crayons. If they operate at full capacity, the number of boxes they can make is 994/425 = <<994/425=2.35>>2.35 boxes. Since we can't make a fraction of a box, they will make 2 boxes.
The total number of crayons they can make is 2*425 = <<2*425=850>>850 crayons.
The number of crayons left out of the boxes is 994 - 850 = <<994-850=144>>144 crayons.
### Answer: 144

Expected answer: 144

Correct? Yes

🔗 Follow-up

Problem: Let's now consider that the crayon factory only made 223 crayons in one operation, while each box still holds 425 crayons. Again, how many crayons are left over and fail to make it into a box?

DeepSeek Coder 33B:

Reasoning: The factory made 223 crayons in one operation. Each box can hold 425 crayons. The number of boxes they can make is 223/425 = <<223/425=0.52>>0.52 boxes. Since we can't make a fraction of a box, they will make 0 boxes.
The total number of crayons they can make is 0*425 = <<0*425=0>>0 crayons.
The number of crayons left out of the boxes is 223 - 0 = <<223-0=223>>223 crayons.

Expected answer: 223

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of tigers is 740. Each zone can hold up to 696 tigers. Therefore, the number of zones is 740/696 = <<740/696=1.06>>1.06. Since we can't have a fraction of a zone, we round up to 2 zones.
The number of tigers in each zone is 740/2 = <<740/2=370>>370.
The number of tigers left in the last zone is 740 - 370*2 = <<740-370*2=140>>140.
### Answer: 140

Expected answer: 44

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The shop will make 830 hats every week. If they plan to put 421 hats in each box, they will make 830/421 = <<830/421=2>>2 boxes.
The total number of hats they will make is 2*421 = <<2*421=842>>842 hats.
The number of hats left over is 830 - 842 = <<830-842=-12>>-12 hats.
However, it's not possible to have a negative number of hats, so the shop will have 0 hats left over.
### Answer: 0

Expected answer: 409

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The fisherman catches 575 fish every month. This means that 575 fish are removed from the lake every month. The total number of fish in the lake is 871. So, after a month, the number of fish left in the lake will be 871 - 575 = <<871-575=296>>296 fish.

Expected answer: 296

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of beach balls is 891. Each bag can fit 119 beach balls. Therefore, the number of bags needed to fit all the beach balls is 891/119 = <<891/119=7.38>>7.38. Since we can't have a fraction of a bag, we round down to 7 bags. The total number of beach balls that can be fit into 7 bags is 7*119 = <<7*119=833>>833. The number of beach balls that will not fit and left over is 891 - 833 = <<891-833=58>>58.

Expected answer: 58

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of stars is 544. If these stars are grouped into clusters of 446 each, then 544/446 = <<544/446=1.21>>1.21 clusters can be made. Since we can't have a fraction of a cluster, we round down to 1 cluster. The remaining stars are 544 - 1*446 = <<544-1*446=544-446=78>>78.
### Answer: 78

Expected answer: 98

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of socks produced is 805. Each set contains 132 socks. Therefore, the total number of sets produced is 805/132 = <<805/132=6.16>>6.16 sets. Since we can't have a fraction of a set, the manufacturer will have 6 sets left over. The number of socks left over is 6*132 = <<6*132=792>>792 socks.

Expected answer: 13

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of people who want to view the event is 759. The telescope can handle 228 people viewing the event each night. Therefore, the number of nights they need to distribute the viewing evenings evenly amongst all members is 759/228 = <<759/228=3.333333333333335>>3.333333333333335 nights. Since we can't have a fraction of a night, we round up to 4 nights. The last night will have 759 - (228*3) = <<759 - (228*3)=17>>17 people viewing the event.

Expected answer: 75

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The postman can fill 891/616 = <<891/616=1.4477611940298507>>1.4477611940298507 mailboxes. Since we can't have a fraction of a mailbox, the postman will fill 1 mailbox.
The remaining letters will be 891 - 616 = <<891-616=275>>275.
### Answer: 275

Expected answer: 275

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, assuming the postman had to originally deliver 524 letters instead of 891, and each mailbox can still only accommodate 616 letters. How many letters will remain in the last mailbox now?

DeepSeek Coder 33B:

Reasoning: The postman can fill 524/616 = <<524/616=0.8450704225352112>>0.8450704225352112 mailboxes. Since we can't have a fraction of a mailbox, the postman will fill 0 mailboxes.
The remaining letters will be 524 - 0 = <<524-0=524>>524.

Expected answer: 524

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The frog eats 258 flies each time it jumps. Therefore, the total number of flies eaten is 258 times the number of jumps. Since the total number of flies is 941, we can set up the equation 258j = 941, where j is the number of jumps.

Solving for j, we get j = 941/258 = <<941/258=3.64>>3.64. Since the frog can't jump a fraction of a time, the frog must have jumped 3 times.

Therefore, the number of flies left is the total number of flies minus the number of flies eaten, which is 941 - 258*3 = <<941-258*3=235>>235.

Expected answer: 167

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of spaces in the park is 991. If all the spaces are evenly distributed between 66 rows, that means each row will have 991/66 = <<991/66=15>>15 spaces. The last row will have the remaining spaces, which is 991 - (66-1)*15 = <<991-(66-1)*15=15>>15 spaces.
### Answer: 15

Expected answer: 1

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total amount of water divided by the number of bottles gives the amount of water each bottle can hold. The remainder of the division gives the amount of water that can't be distributed to the bottles.

193 liters / 167 bottles = <<193/167=1.1672>>1.1672 liters per bottle.

The total amount of water that can't be distributed to the bottles is the total amount of water minus the amount of water that can be distributed to the bottles.

193 liters - (167 bottles * 1.1672 liters per bottle) = <<193-167*1.1672=1.1672*167=21.1672>>21.1672 liters overflows.

So, 21.1672 liters overflows.

Expected answer: 26

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of eggs is 996. The number of eggs each row can hold is 319. The number of full rows is 996 divided by 319, which is 3. The number of eggs left over is 996 minus the number of eggs in the full rows, which is 996 - 3*319 = <<996-3*319=357>>357.
### Answer: 357

Expected answer: 39

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of bulbs that can be packed is 691/205 = <<691/205=3>>3 packs.
The total number of bulbs that can be packed 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

🔗 Follow-up

Problem: If the lamp manufacturer produced 739 bulb units instead of 691, how many bulbs would be left unpacked after filling as many packs as possible with 205 bulbs each?

DeepSeek Coder 33B:

Reasoning: The total number of bulbs that can be packed is 739/205 = <<739/205=3>>3 packs.
The total number of bulbs that can be packed is 3*205 = <<3*205=615>>615 bulbs.
The number of bulbs left unpacked is 739-615 = <<739-615=124>>124 bulbs.

Expected answer: 124

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of bales of hay is 330. Each barn can store up to 259 bales. Therefore, we can calculate how many bales of hay will be left for the last barn by subtracting the total number of bales of hay that can be stored in the barns from the total number of bales of hay.

The total number of bales of hay that can be stored in the barns is 330 - (330 mod 259). The modulus operation gives the remainder of the division of 330 by 259, which is the number of bales of hay that can be stored in the last barn.

The number of bales of hay that can be stored in the last barn is 330 - (330 mod 259) = 330 - 146 = 184.

So, there will be 184 bales of hay left for the last barn.

Expected answer: 71

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of windows is 166. The team can install 137 windows per day. Therefore, the number of days it will take to install all windows is 166/137 = <<166/137=1.23>>1.23 days. Since we can't have a fraction of a day, we round up to 2 days. So, the team will install all windows in 2 days.

The total number of windows installed in 2 days is 137*2 = <<137*2=274>>274 windows.

The remaining windows to install on the next day are 166 - 274 = <<166-274=-108>>-108 windows. However, we can't have a negative number of windows, so we take the absolute value of -108, which is 108.

Therefore, there will be 108 windows left to install on the next day.

Expected answer: 29

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of campers is 533. Each tent can host 445 people. Therefore, we can calculate the number of tents needed by dividing the total number of campers by the number of people each tent can host. The remainder will be the number of campers left over.

```python
total_campers = 533
people_per_tent = 445

# Calculate the number of tents needed
tents_needed = total_campers // people_per_tent

# Calculate the number of campers left over
campers_left_over = total_campers % people_per_tent
```

In this case, the number of campers left over will be 533 % 445 = <<533 % 445=88>>88.

Expected answer: 88

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of seashells is 999. The number of seashells in each set is 474. Therefore, the total number of sets is 999/474 = <<999/474=2.10>>2.10. Since we can't have a fraction of a set, we round down to 2 sets. The total number of seashells in these 2 sets is 2*474 = <<2*474=948>>948. The number of seashells left without a set is 999 - 948 = <<999-948=51>>51.

Expected answer: 51

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The tailor has 366 meters of fabric. Each skirt requires 160 meters of fabric. To find out how many skirts can be made, we divide the total fabric by the amount required for one skirt. The remainder will be the amount of fabric left.

Skirts that can be made = 366 meters of fabric / 160 meters per skirt = <<366/160=2.333333333333335>>2.333333333333335 skirts.

Since we can't make a fraction of a skirt, the tailor can only make 2 skirts.

Fabric left = 366 meters of fabric - 2 skirts * 160 meters per skirt = <<366-2*160=46>>46 meters of fabric will be left.

So, the tailor will have 46 meters of fabric left after making as many skirts as possible.

Expected answer: 46

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The toymaker made 993 dolls. Each box can hold 327 dolls. Therefore, 993/327 = <<993/327=3>>3 boxes will be filled. The total number of dolls in the boxes will be 3*327 = <<3*327=981>>981 dolls. The remaining dolls will be 993 - 981 = <<993-981=12>>12 dolls.
### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: Following up on the previous problem, what if, instead of each box holding 327 dolls, each box can now hold 115 dolls? After packing each box to capacity, how many dolls will the toymaker have left?

DeepSeek Coder 33B:

Reasoning: The toymaker made 993 dolls. Each box can now hold 115 dolls. Therefore, 993/115 = <<993/115=8.7>>8.7 boxes will be filled. Since we can't have a fraction of a box, the toymaker will have 8 boxes filled. The total number of dolls in the boxes will be 8*115 = <<8*115=920>>920 dolls. The remaining dolls will be 993 - 920 = <<993-920=73>>73 dolls.

Expected answer: 73

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The child has 964/839 = <<964/839=1.1473700>>1.1473700 times the number of friends. Since the number of friends is not a whole number, the child cannot distribute the stuffed animals evenly.
Reasoning: The child will have 964 - 839*1.1473700 = <<964 - 839*1.1473700=108.3526300>>108.3526300 stuffed animals left over.

Expected answer: 125

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of teddy bears produced is 369. Each box can hold 270 bears. Therefore, the number of boxes needed to pack all the bears is 369/270 = <<369/270=1.38>>1.38 boxes. Since we can't have a fraction of a box, the factory will need to use 2 boxes.
The total number of bears that can be packed in 2 boxes is 2*270 = <<2*270=540>>540 bears.
The number of bears left is 369 - 540 = <<369-540=-171>>-171 bears.
However, it's not possible to have a negative number of bears left. This means that the factory will have to use 3 boxes to pack all the bears, so the number of bears left is 3*270 - 369 = <<3*270-369=271>>271 bears.

Expected answer: 99

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The villagers make 804 snowballs. Each snowman needs 184 snowballs. So, the number of snowmen they can build is 804/184 = <<804/184=4.37>>4.37. Since they can't build a fraction of a snowman, they can only build 4 snowmen. The total number of snowballs needed for all snowmen is 4*184 = <<4*184=736>>736. The number of leftover snowballs is 804-736 = <<804-736=68>>68.

Expected answer: 68

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of rings is 843. If each box is filled, the total number of rings divided by the number of boxes gives the number of rings per box. The remainder of the division gives the number of rings left over.

```python
total_rings = 843
total_boxes = 839

rings_per_box = total_rings // total_boxes
remaining_rings = total_rings % total_boxes
```

So, the number of rings left over is `843 % 839`.

Expected answer: 4

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The company can build 819 // 583 = <<819//583=1>>1 fireplace.
The bricks used to build the fireplaces will be 1 * 583 = <<1*583=583>>583 bricks.
The bricks left over will be 819 - 583 = <<819-583=236>>236 bricks.
### Answer: 236

Expected answer: 236

Correct? Yes

🔗 Follow-up

Problem: The company received a new delivery of bricks, now they have 486 bricks in total. If they continue making fireplaces, each requiring 583 bricks as before, how many bricks will they have left after building as many full fireplaces as they can?

DeepSeek Coder 33B:

Reasoning: The company can build 486 // 583 = <<486//583=0.83>>0.83 fireplaces. Since they can't build a fraction of a fireplace, they can build 0 fireplaces.
The bricks used to build the fireplaces will be 0 * 583 = <<0*583=0>>0 bricks.
The bricks left over will be 486 - 0 = <<486-0=486>>486 bricks.

Expected answer: 486

Correct? Yes

🔗 Problem

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 Coder 33B:

The number of marshmallows left un-packaged in a minute after all the packaging machines are filled is the remainder when the total number of marshmallows produced is divided by the number of marshmallows the packaging machine can hold.

The remainder of 998 divided by 957 is 41.

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

Expected answer: 41

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of roses that can be distributed is 984/426 = <<984/426=2.32>>2.32 tributes. Since we can't distribute a fraction of a tribute, we round down to 2 tributes. The total number of roses distributed is 2*426 = <<2*426=852>>852 roses. The remaining roses are 984-852 = <<984-852=132>>132 roses.

Expected answer: 132

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of words in the song is 334. If each line has 23 words, then 334 divided by 23 equals 14.17. This means that there are 14 full lines and a partial line. The total number of words in the full lines is 14*23 = <<14*23=322>>322. The total number of words in the song is 334, so the number of words in the incomplete line is 334 - 322 = <<334-322=12>>12.

Expected answer: 12

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The printer can print 336 pages in one go. So, to print all the study materials, he needs to fill the printer 928/336 = <<928/336=2.78>>2.78 times. Since we can't print a fraction of a page, the teacher will have 2.78*336 = <<2.78*336=896.96>>896.96 pages left over.

Expected answer: 256

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The scientists can tag 972/667 = <<972/667=1.46>>1.46 groups of sharks.
The scientists will tag 1.46*667 = <<1.46*667=1000.02>>1000.42 sharks.
The remaining untagged sharks are 972-1000.42 = <<972-1000.42=-28.42>>-28.42 sharks.
However, the number of sharks cannot be a negative number. Therefore, the scientists will tag all the sharks.
### Answer: All sharks are tagged.

Expected answer: 305

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of boxes that can be filled with cheese is 686/349 = <<686/349=1.99>>1.99 boxes. Since we can't have a fraction of a box, we round down to 1 box. The total number of blocks of cheese that can be filled in the boxes is 1*349 = <<1*349=349>>349 blocks. The number of blocks of cheese left over is 686 - 349 = <<686-349=337>>337 blocks.

Expected answer: 337

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The snowplow can clear up to 170 centimeters of snow at a time. Therefore, the number of times the snowplow can clear the snow is 513/170 = <<513/170=3.08>>3.08 times. Since the snowplow can only clear the snow in whole numbers of times, the snowplow will clear 3 times. The remaining snow is 513 - 3*170 = <<513-3*170=103>>103 centimeters.
### Answer: 103

Expected answer: 3

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The compass maker has 661 needles. Each compass uses 510 needles. So, he can install 661 / 510 = <<661/510=1.3>>1.3 full compasses. The remaining needles are 661 - 1.3 * 510 = <<661-1.3*510=661-673=-122>>-122.
### Answer: -122

Expected answer: 151

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The factory has manufactured 380 chairs. If it evenly distributes all the chairs to the shops, each shop will get 380/310 = <<380/310=1.2272727272727273>>1.2272727272727273 times the number of chairs. Since the number of chairs must be an integer, we round down to 1. Therefore, each shop will get 1*310 = <<1*310=310>>310 chairs. The total number of chairs that will be left at the factory will be the total number of chairs manufactured minus the total number of chairs distributed to the shops.

380 - (310*1) = <<380-(310*1)=70>>70 chairs will be left at the factory.

Expected answer: 70

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of boxes that can be filled with the tomatoes is 929 / 154 = <<929/154=6>>6 boxes.
The total number of tomatoes that can be packed in boxes is 6 * 154 = <<6*154=924>>924 tomatoes.
The number of tomatoes left over is 929 - 924 = <<929-924=5>>5 tomatoes.
### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: The farmer realized he made an error and actually collected 929 tomatoes from his field, but this time he wants to sell them in bigger boxes that can accommodate 834 tomatoes each. After packing these tomatoes evenly in these larger boxes, how many tomatoes will be left over?

DeepSeek Coder 33B:

Reasoning: The total number of boxes that can be filled with the tomatoes is 929 / 834 = <<929/834=1.107>>1.107 boxes.
Since the number of boxes must be a whole number, the farmer will be able to fill 1 box with the tomatoes.
The total number of tomatoes that can be packed in boxes is 1 * 834 = <<1*834=834>>834 tomatoes.
The number of tomatoes left over is 929 - 834 = <<929-834=95>>95 tomatoes.

Expected answer: 95

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The store distributes the skates evenly among 128 boxes. This means that each box will receive 454/128 = <<454/128=3.53515625>>3.53515625 pairs of ice skates. Since the number of boxes is 128, the total number of pairs of ice skates that will be distributed is 128*3.53515625 = <<128*3.53515625=460.625>>460.625. The remaining number of pairs of ice skates will be the total number of pairs of ice skates minus the total number of pairs of ice skates that will be distributed, which is 454 - 460.625 = <<454-460.625=-6.625>>-6.625. However, the number of pairs of ice skates cannot be a negative number, so the store will have to sell some of the boxes to make up for the difference.

Expected answer: 70

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The village consumes 506 units of power in full increments of 385 units. This means the village consumes 506 // 385 = <<506//385=1>>1 full increment and 506 % 385 = <<506%385=221>>221 units of power in the last increment. The remaining power is the difference between the total power generated and the power consumed. So, the remaining power is 506 - 1*385 - 221 = <<506-1*385-221=104>>104 units.
### Answer: 104

Expected answer: 121

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: 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, Blast Man will have used 16*2 = 32 energy units.
Blast Man will have 338 - 32 = <<338-32=316>>316 energy units left in his power cells.

Expected answer: 2

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of students is 530. Each bus can carry 144 students. Therefore, we can calculate the number of buses needed by dividing the total number of students by the number of students each bus can carry. The remainder will be the number of students on the last bus.

Number of buses needed = 530 / 144 = <<530/144=3.6>>3.6

Since we can't have a fraction of a bus, we round up to 4 buses.

The last bus will carry 530 - (4-1)*144 = <<530-(4-1)*144=530-576=-46>>-46 students.

However, this is impossible because we can't have a negative number of students on a bus. This means that the last bus will be full and there will be no students left over.

So, the last bus will carry 144 students.

Expected answer: 98

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The number of spells the wizard has left after giving out as many as he can to his apprentices is the remainder when the number of spells is divided by the number of apprentices.

The remainder of 999 divided by 951 is 48.

So, the wizard will have 48 spells left.

Expected answer: 48

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The number of trucks needed to deliver all the scooters is 767/369 = <<767/369=2.06>>2.06. Since we can't have a fraction of a truck, the company will need to use 3 trucks.
The number of scooters delivered by the trucks is 3*369 = <<3*369=1107>>1107.
The number of scooters left is 767-1107 = <<767-1107=-339>>-339.
However, this is not possible because the number of scooters can't be negative. This means that the company has more trucks than they need to deliver all the scooters.

Expected answer: 29

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The maximum number of raindrops that can be formed from the 846 water droplets is 846 // 722 = <<846//722=1>>1.
The number of droplets left unconverted is 846 - 1*722 = <<846-1*722=124>>124.
### Answer: 124

Expected answer: 124

Correct? Yes

🔗 Follow-up

Problem: There was a slight miscalculation in the cloud's droplet count. There are actually 846 water droplets in the cloud, but each raindrop needs 442 droplets to form instead of 722. With this updated droplet count per raindrop, how many droplets would be left unconverted in the cloud after reaching the maximum number of rain drops?

DeepSeek Coder 33B:

Reasoning: The maximum number of raindrops that can be formed from the 846 water droplets is 846 // 442 = <<846//442=1>>1.
The number of droplets left unconverted is 846 - 1*442 = <<846-1*442=404>>404.

Expected answer: 404

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of unicorns is 265. The number of sections is 146. Since the sections are equal, each section will contain 265/146 = <<265/146=1.80>>1.80 unicorns. Since the number of unicorns is not a whole number, the last section will contain the remaining unicorns. The remaining unicorns are 265 - (146 * 1) = <<265 - (146 * 1)=123>>123 unicorns.
### Answer: 123

Expected answer: 119

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of players waiting to enter a match is 923. The game can only accept 383 players at a time. Therefore, the number of matches that can be filled is 923/383 = <<923/383=2.41>>2.41 matches. Since we can't have a fraction of a match, we round down to 2 matches.
The number of players that will be left waiting after filling all the matches is 923 - (2 * 383) = <<923 - (2 * 383)=364>>364 players.
### Answer: 364

Expected answer: 157

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The pirate ship has 923 cannonballs and they want to equally disperse them between 499 different crates. This means that each crate will get 923/499 = <<923/499=1.85385>>1.85385 cannonballs. Since we can't have a fraction of a cannonball, the ship will have 923 - 499*1.85385 = <<923 - 499*1.85385=368.2615>>368.2615 cannonballs left uncrated.

Expected answer: 424

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: Each kite gets one string spool, so the total number of spools distributed is 518. The remaining spools in the store are 530 - 518 = <<530-518=12>>12.
### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of jugs that can be filled is 913 gallons / 39 gallons/jug = <<913/39=23.529411764705884>>23.529411764705884 jugs.
The total amount of milk that can be filled is 23.529411764705884 * 39 gallons/jug = <<23.529411764705884*39=912.6470588235294>>912.6470588235294 gallons.
The leftover milk is 913 gallons - 912.6470588235294 gallons = <<913-912.6470588235294=0.3529411764705882>>0.3529411764705882 gallons.
### Answer: 0.3529411764705882

Expected answer: 16

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of dolls that can be arranged in rows is 369 * n, where n is the number of rows. Since the shipment contains 603 dolls, we can find n by dividing 603 by 369. The remaining dolls are the ones that could not be arranged in rows, so we subtract the total number of arranged dolls from the total number of dolls.

n = 603 / 369 = <<603/369=1.647766323024055>>1.647766323024055

The number of rows is 1.647766323024055, but since we can't have a fraction of a row, we round down to 1 row.

The total number of dolls that can be arranged in rows is 369 * 1 = <<369*1=369>>369

The number of unarranged dolls is 603 - 369 = <<603-369=234>>234

So, there are 234 dolls left unarranged.

Expected answer: 234

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The jewelry maker can make 850/631 = <<850/631=1.36>>1.36 necklaces.
The jewelry maker will have 850 - 1.36*631 = <<850 - 1.36*631=850 - 850.59=-0.59>>-0.59 beads left over.
Since the number of beads cannot be negative, the jewelry maker will have 0 beads left over.

Expected answer: 219

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The gardener has 952 grapes. If each box can hold 380 grapes, then he can fill 952/380 = <<952/380=2.48>>2.48 boxes. Since we can't have a fraction of a box, the gardener can fill 2 boxes.
The total number of grapes in the boxes is 2*380 = <<2*380=760>>760 grapes.
The number of grapes left over is 952 - 760 = <<952-760=192>>192 grapes.
### Answer: 192

Expected answer: 192

Correct? Yes

🔗 Follow-up

Problem: The gardener's friend gave him an additional 183 grapes from his own garden. If the gardener decides to package these grapes as well into boxes with each box holding 380 grapes, how many grapes will remain after packaging the new grapes into as many boxes as possible?

DeepSeek Coder 33B:

Reasoning: The gardener has 183 grapes from his friend. If each box can hold 380 grapes, then he can fill 183/380 = <<183/380=0.478>>0.478 boxes. Since we can't have a fraction of a box, the gardener can fill 0 boxes.
The total number of grapes in the boxes is 0*380 = <<0*380=0>>0 grapes.
The number of grapes left over is 183 - 0 = <<183-0=183>>183 grapes.

Expected answer: 183

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The guide mentions 236 steps. Every 44 steps leads to a significant place or clue. So, the total number of significant places or clues is 236/44 = <<236/44=5.45>>5.45. Since we can't have a fraction of a step, we round down to 5 significant places or clues.
The total number of steps left after reaching the last significant place or clue is 236 - 5*44 = <<236-5*44=192>>192.
### Answer: 192

Expected answer: 16

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The machine forms complete groups of 507 bubbles each. To find out how many bubbles are left in the final, incomplete group, we need to find the remainder when 932 is divided by 507.

932 % 507 = <<932%507=425>>425 bubbles are left in the final, incomplete group.

Expected answer: 425

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of kids that can be accommodated is 931/34*34 = <<931/34*34=930>>930 kids.
The number of kids waiting for their turn is 931 - 930 = <<931-930=1>>1 kid.
### Answer: 1

Expected answer: 13

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: Each wallet can contain 433 dollar bills. So, to fully load as many wallets as he can, he needs to divide his total dollar bills by the number of dollar bills each wallet can contain. The remainder will be the number of dollar bills he has left.

943 / 433 = <<943/433=2.1666666666666665>>2.1666666666666665 wallets.

Since he can't have a fraction of a wallet, he can fully load 2 wallets.

The number of dollar bills left is the total number of dollar bills minus the number of dollar bills that can be fully loaded into wallets.

943 - 2*433 = <<943-2*433=150>>150 dollar bills.

So, John has 150 dollar bills left.

Expected answer: 77

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The helicopter can carry 177 passengers in one trip. The total number of passengers to be transported is 240. After the first trip, the helicopter will have transported 177 passengers. The remaining passengers to be transported are 240 - 177 = <<240-177=63>>63.
### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The gardener has 982 flowers to plant. Each flowerbed can fit 555 flowers. So, the gardener can fill up 982/555 = <<982/555=1.78>>1.78 flowerbeds. Since the gardener can only fill up 1 flowerbed, she will have 982 - 555*1 = <<982-555*1=427>>427 flowers left to plant.

Expected answer: 427

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The farmer has 203 strawberry plants. If she wants to divide them into groups of 5, she will have 203/5 = <<203/5=40.6>>40.6 groups. Since we can't have a fraction of a group, she will have 40 groups. 

The total number of plants in 40 groups is 40*5 = <<40*5=200>>200.

The remaining plants are 203 - 200 = <<203-200=3>>3.

So, there will be 3 remaining plants.

Expected answer: 3

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The gardener wants to create bundles of 16. If he has 355 carrots, he can create 355/16 = <<355/16=22.625>>22 bundles. Since he can't create a fraction of a bundle, he will create 22 bundles.
The total number of carrots in the bundles is 22*16 = <<22*16=352>>352.
The remaining number of carrots is 355 - 352 = <<355-352=3>>3.
### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total rainfall of 612 inches fell over 29 days. Therefore, the average rainfall per day is 612/29 = <<612/29=21>>21 inches.
The average rainfall per day is 21 inches. If the rain fell in the same amount every day, the total rainfall would be 21*29 = <<21*29=619>>619 inches.
The difference between the total rainfall and the amount needed to make the days evenly rainy is 612 - 619 = <<612-619=-7>>-7 inches.
Therefore, to make the days evenly rainy, 7 more inches of rain would be needed.

Expected answer: 3

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The truck company has 514 boxes. Each truck can hold 371 boxes. Therefore, the number of trucks needed to deliver all boxes is 514/371 = <<514/371=1.39>>1.39 trucks. Since we can't have a fraction of a truck, the company will need to use 2 trucks.
The total number of boxes that can be delivered is 2*371 = <<2*371=742>>742 boxes.
The number of boxes left over is 514 - 742 = <<514-742=-228>>-228 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 3 trucks instead of 2.
The total number of boxes that can be delivered is 3*371 = <<3*371=1113>>1113 boxes.
The number of boxes left over is 514 - 1113 = <<514-1113=-599>>-599 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 4 trucks instead of 3.
The total number of boxes that can be delivered is 4*371 = <<4*371=1504>>1504 boxes.
The number of boxes left over is 514 - 1504 = <<514-1504=-990>>-990 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 5 trucks instead of 4.
The total number of boxes that can be delivered is 5*371 = <<5*371=1855>>1855 boxes.
The number of boxes left over is 514 - 1855 = <<514-1855=-1341>>-1341 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 6 trucks instead of 5.
The total number of boxes that can be delivered is 6*371 = <<6*371=2226>>2226 boxes.
The number of boxes left over is 514 - 2226 = <<514-2226=-1692>>-1692 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 7 trucks instead of 6.
The total number of boxes that can be delivered is 7*371 = <<7*371=2607>>2607 boxes.
The number of boxes left over is 514 - 2607 = <<514-2607=-2093>>-2093 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 8 trucks instead of 7.
The total number of boxes that can be delivered is 8*371 = <<8*371=2978>>2978 boxes.
The number of boxes left over is 514 - 2978 = <<514-2978=-2464>>-2464 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 9 trucks instead of 8.
The total number of boxes that can be delivered is 9*371 = <<9*371=3349>>3349 boxes.
The number of boxes left over is 514 - 3349 = <<514-3349=-1835>>-1835 boxes.
However, the number of boxes left over can't be negative, so the company will have to use 10 trucks instead of 9.
The total number of boxes that can be delivered is 10*371 = <<10*371=3710>>3710 boxes.
The number of boxes left over is 514 - 3710 = <

Expected answer: 143

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of sandcastles is 684. The sandcastles were grouped into sets of 230. The number of complete sets is 684/230 = <<684/230=2.97>>2.97. Since we can't have a fraction of a set, the number of complete sets is 2. Therefore, the number of sandcastles left that didn't form a complete set is 684 - 2*230 = <<684 - 2*230=124>>124.

Expected answer: 224

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of toy cars is 735. If they are divided equally among packs, each pack will contain 735/348 = <<735/348=2.10>>2.10 packs. Since we can't have a fraction of a pack, the manufacturer will have 735 - 348*2 = <<735-348*2=139>>139 toy cars left over.

Expected answer: 39

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of animals is 386. Each territory can support 95 animals. Therefore, there will be 386/95 = <<386/95=4>>4 territories.
The last territory will have 386 - (4-1)*95 = <<386-(4-1)*95=386-370=16>>16 animals.
### Answer: 16

Expected answer: 6

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of trees in the forest is 801. The disease has affected 646 trees. If all the diseased trees have to be cut down, the remaining trees that are healthy are 801 - 646 = <<801-646=155>>155 trees.
### Answer: 155

Expected answer: 155

Correct? Yes

🔗 Problem

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 Coder 33B:

The total length of the rope is 934 meters. The manufacturer wants to cut this into pieces of 902 meters each. The total number of pieces will be the total length divided by the length of each piece. The remainder will be the length of the last piece.

Here is the Python code to calculate the length of the last piece:

```python
total_length = 934
piece_length = 902

# Calculate the number of pieces
num_pieces = total_length // piece_length

# Calculate the length of the last piece
last_piece_length = total_length % piece_length

print("The length of the last piece is", last_piece_length, "meters.")
```

When you run this code, it will print: "The length of the last piece is 32 meters."

Expected answer: 32

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total amount of milk produced each day is 561 liters. The milk is packaged into 550-liter containers. The remaining milk after filling the containers is the total amount of milk produced each day minus the amount of milk that can be filled into containers.

So, the remaining milk each day after filling the containers is 561 - 550 = <<561-550=11>>11 liters.

Expected answer: 11

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of pieces Jon has is 259. Each puzzle requires 258 pieces. Therefore, the total number of pieces needed to complete a full puzzle is 258.
The number of pieces left over once he completes a full puzzle is 259 - 258 = <<259-258=1>>1.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, Jon had 259 puzzle pieces and each puzzle requires 258 pieces. Suppose instead each puzzle needs 542 pieces. How many pieces would Jon have left over after finishing as many full puzzles as possible with his 259 pieces?

DeepSeek Coder 33B:

Reasoning: The total number of pieces Jon has is 259. Each puzzle requires 542 pieces. Therefore, the total number of pieces needed to complete a full puzzle is 542.
The number of full puzzles Jon can complete with his 259 pieces is 259 // 542 = <<259//542=0>>0.
The number of pieces left over after finishing as many full puzzles as possible is 259 - (0 * 542) = <<259-(0*542)=259>>259.

Expected answer: 259

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The jewelry maker can create 673/49 = <<673/49=13.70787037037037>>13 bracelets with the exact number of beads.
The total number of beads used is 13*49 = <<13*49=671>>671.
The number of beads left is 673-671 = <<673-671=2>>2.
### Answer: 2

Expected answer: 36

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of calls is 927. The number of operators is 311. When the calls are divided equally, each operator will handle 927/311 = <<927/311=2.99>>2.99 calls. Since the number of calls cannot be a fraction, the last operator will handle 3 calls.

Expected answer: 305

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The number of full packages that John can make is 764 // 589 = <<764//589=1>>1.
The total number of pieces in these packages is 1 * 589 = <<1*589=589>>589.
The number of pieces left outside a package is 764 - 589 = <<764-589=165>>165.
### Answer: 165

Expected answer: 175

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The dressmaker can make 984/217 = <<984/217=4.53>>4.53 dresses. Since she can't make a fraction of a dress, she can make 4 dresses.
The fabric she used to make 4 dresses is 4*217 = <<4*217=868>>868 meters.
The fabric she has left is 984-868 = <<984-868=116>>116 meters.
### Answer: 116

Expected answer: 116

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, let's now suppose that the dressmaker has 984 meters of fabric, but this time she uses 585 meters of fabric to make each dress. Again, she uses all the fabric she can to make as many dresses as possible. With this change, how many meters of fabric will she have left after all the dresses are made?

DeepSeek Coder 33B:

Reasoning: The dressmaker can make 984/585 = <<984/585=1.66>>1.66 dresses. Since she can't make a fraction of a dress, she can make 1 dress.
The fabric she used to make 1 dress is 1*585 = <<1*585=585>>585 meters.
The fabric she has left is 984-585 = <<984-585=399>>399 meters.

Expected answer: 399

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of sleeping bags donated is 639. Each campsite is supplied with 374 sleeping bags. So, the total number of sleeping bags supplied to all campsites is 374 * number of campsites.

The number of campsites is 639 / 374 = <<639/374=1.71>>1.71 campsites. Since we can't have a fraction of a campsite, we round up to 2 campsites.

The total number of sleeping bags supplied to all campsites is 374 * 2 = <<374*2=748>>748 sleeping bags.

The number of sleeping bags left is the total number of sleeping bags donated minus the total number of sleeping bags supplied to all campsites.

748 - 639 = <<748-639=99>>99 sleeping bags will be left.

Expected answer: 265

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of pizzas is 620. The boxes can hold 578 pizzas each. To find out how many pizzas will be left over, we need to find the remainder when 620 is divided by 578.

620 mod 578 = <<620%578=42>>42 pizzas will be left over.

Expected answer: 42

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of robots is 820. The factory can store 684 robots in one storage unit. If the robots are evenly stored, the total number of robots that will not fit and remain outside of the storage units is 820 mod 684 = <<820%684=136>>136.

Expected answer: 136

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The cloud loses water droplets at an equal rate and becomes entirely dry after every 289 droplets. This means that after every 289 droplets, the cloud is left with 289 - 289 = 0 droplets.

Since the initial number of droplets was 516, after the first cycle, the cloud will have 516 - 289 = 227 droplets left.

After the second cycle, the cloud will have 227 - 289 = -62 droplets left. However, the number of droplets cannot be negative, so the cloud will have 0 droplets left after the second cycle.

Therefore, the cloud will have 0 droplets left when it is dry after the final cycle.

Answer: 0

Expected answer: 227

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The company can load 330/4 = <<330/4=82.5>>82.5 trucks. Since the number of trucks must be an integer, the company will load 82 trucks.
The total number of boxes loaded is 82*4 = <<82*4=328>>328.
The number of boxes left unloaded is 330 - 328 = <<330-328=2>>2.
### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: The transport company now needs to load a new batch of 274 boxes into trucks. Again, each truck can hold exactly 4 boxes. After filling each truck to its full capacity, how many boxes will be left unloaded this time?

DeepSeek Coder 33B:

Reasoning: The company can load 274/4 = <<274/4=68.5>>68.5 trucks. Since the number of trucks must be an integer, the company will load 68 trucks.
The total number of boxes loaded is 68*4 = <<68*4=272>>272.
The number of boxes left unloaded is 274 - 272 = <<274-272=2>>2.

Expected answer: 2

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of crates that can be filled is 649/183 = <<649/183=3.56>>3.56 crates. Since we can't have a fraction of a crate, the farmer will pack 3 crates. The remaining potatoes are 649 - 3*183 = <<649-3*183=292>>292 potatoes.
### Answer: 292

Expected answer: 100

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The number of boxes that can be filled with shirts is 258/67 = <<258/67=3.84>>3.84 boxes. Since we can't have a fraction of a box, the company will pack 3 boxes.
The number of shirts packed in the boxes is 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

🔗 Follow-up

Problem: Suppose the t-shirt company actually had a batch of 258 shirts, but this time each box can pack 828 shirts. If all the shirts are evenly distributed in the boxes, how many shirts would be left outside the boxes?

DeepSeek Coder 33B:

Reasoning: The number of boxes that can be filled with shirts is 258/828 = <<258/828=0.314>>0.314 boxes. Since we can't have a fraction of a box, the company will pack 0 boxes.
The number of shirts packed in the boxes is 0*828 = <<0*828=0>>0 shirts.
The number of shirts left outside the boxes is 258 - 0 = <<258-0=258>>258 shirts.

Expected answer: 258

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of gold coins divided by the number of pirates gives us the number of coins each pirate will get. The remainder of this division gives us the number of coins left over.

Python code:

```python
total_coins = 995
num_pirates = 267
coins_per_pirate = total_coins // num_pirates
coins_left_over = total_coins % num_pirates
```

Running the code:

```python
total_coins = 995
num_pirates = 267
coins_per_pirate = total_coins // num_pirates
coins_left_over = total_coins % num_pirates
print(coins_left_over)
```

This will output the number of coins left over.

Expected answer: 194

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of snails is 776. If we group them in bunches of 375 snails, we will have 776/375 = <<776/375=2.048>>2.048 bunches. Since we can't have a fraction of a snail, the last bunch will have 375 snails.
Therefore, there will be 776 - 2*375 = <<776-2*375=112>>112 snails left in the final group.

Expected answer: 26

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The 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, they will pack 589 // 198 = <<589//198=2>>2 full boxes.
The total number of boxes they pack is 2.
The total number of pillows they pack is 2 * 198 = <<2*198=396>>396 pillows.
The number of pillows left outside the boxes at the end of the day is 589 - 396 = <<589-396=193>>193 pillows.
### Answer: 193

Expected answer: 193

Correct? Yes

🔗 Follow-up

Problem: The pillow factory has made an adjustment to the packaging process and recently upgraded their boxes so that each can now hold 810 pillows. If they still produce 589 pillows per day and pack as many full boxes as possible, how many pillows will be left outside the boxes at the end of the day?

DeepSeek Coder 33B:

Reasoning: The factory produces 589 pillows per day. They package these pillows in boxes, and each box now holds 810 pillows. If they pack as many full boxes as possible, they will pack 589 // 810 = <<589//810=0>>0 full boxes.
The total number of boxes they pack is 0.
The total number of pillows they pack is 0 * 810 = <<0*810=0>>0 pillows.
The number of pillows left outside the boxes at the end of the day is 589 - 0 = <<589-0=589>>589 pillows.

Expected answer: 589

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The jewelry maker can make 633/30 = <<633/30=21>>21 necklaces.
The total number of beads used is 21*30 = <<21*30=630>>630.
The number of beads left is 633-630 = <<633-630=3>>3.
### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: The jewelry maker found an additional box of beads in her storage, increasing her total number of beads to 588. Now, if she uses these 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 Coder 33B:

Reasoning: The jewelry maker can make 588/30 = <<588/30=19.6>>19.6 necklaces. Since she can't make a fraction of a necklace, she can make 19 necklaces.
The total number of beads used is 19*30 = <<19*30=570>>570.
The number of beads left is 588-570 = <<588-570=18>>18.

Expected answer: 18

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of coins that can be evenly distributed among the wallets is 365/140 = <<365/140=2.6714285714285716>>2.6714285714285716. Since we can't distribute fraction of a coin, the actual number of coins that can be distributed is 2.
The total number of coins that John has is 365.
The number of coins that will be left is 365 - 2*2.6714285714285716 = <<365 - 2*2.6714285714285716=365-5.342857142857143>>365-5.342857142857143.
### Answer: 365-5.342857142857143

Expected answer: 85

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of socks produced is 743. The number of socks in each carton is 451. Therefore, the number of cartons filled is 743/451 = <<743/451=1.6666666666666667>>1.6666666666666667. Since we can't fill a fraction of a carton, the number of cartons filled is 1. The number of socks left unpacked is the total number of socks produced minus the number of socks in the filled cartons.

The number of socks left unpacked is 743 - 1*451 = <<743-1*451=332>>332.

Expected answer: 292

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of children who want to slide down the slide is 923. If 771 children can go down the slide without rest, then the remaining children who are waiting for their turn are 923 - 771 = <<923-771=152>>152.
### Answer: 152

Expected answer: 152

Correct? Yes

🔗 Follow-up

Problem: After the first 771 children go down the slide, another wave of children arrives and now there are 923 children in total waiting again. If 881 children can go down the slide without any break this time, how many children will be left waiting for their turn?

DeepSeek Coder 33B:

Reasoning: The total number of children who want to slide down the slide is 923. If 881 children can go down the slide without rest, then the remaining children who are waiting for their turn are 923 - 881 = <<923-881=42>>42.

Expected answer: 42

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The total number of people that Iron Punch can teleport is 104 * (442 // 104) = <<104*(442//104)=4352>>4352.
The remaining people in the building are 442 - 4352 = <<442-4352=-3910>>-3910. However, this is not possible because the number of people left in the building cannot be negative. Therefore, Iron Punch will not be able to save all 442 people.

Expected answer: 26

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The manufacturer created as many packs as possible by dividing the total number of cards by the number of cards in each pack. The remainder is the number of cards left over.

The number of packs created is 569 / 68 = <<569/68=8.357142857142858>>8.357142857142858 packs.

The number of cards left over is the total number of cards minus the number of cards used to create the packs.

The number of cards used to create the packs is the number of packs created times the number of cards in each pack.

The number of cards left over is 569 - (8.357142857142858 * 68) = <<569-(8.357142857142858*68)=569-558.69=10.31>>10.31 cards.

So, the manufacturer will have 10.31 cards left over.

Expected answer: 25

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The store owner wants to fill as many boxes as possible, so we need to find out how many boxes can be filled with the shipment of 842 erasers. This can be done by dividing the total number of erasers by the number of erasers per box. The remainder will be the number of erasers that will be left over.

842 erasers / 719 erasers per box = <<842/719=1.1573705167>>1.1573705167 boxes.

Since we can't have a fraction of a box, the store owner will have to buy another box. So, the number of boxes will be rounded up to 2.

2 boxes * 719 erasers per box = <<2*719=1438>>1438 erasers.

The number of erasers left over will be the total number of erasers in the shipment minus the number of erasers that can be filled in the boxes.

842 erasers - 1438 erasers = <<842-1438=-616>>-616 erasers.

However, the number of erasers can't be negative, so the store owner will have to buy another box. So, the number of erasers left over will be the total number of erasers in the shipment minus the number of erasers that can be filled in the boxes plus the number of erasers in the box that was bought.

842 erasers - 1438 erasers + 719 erasers = <<842-1438+719=-616+719=100>>100 erasers.

So, the store owner will have 100 erasers left over.

Expected answer: 123

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The farmer can pack 461/244 = <<461/244=1.90>>1.90 boxes. Since we can't pack a fraction of a box, the farmer will pack 1 box.
The remaining carrots are 461 - 1*244 = <<461-1*244=461-244=217>>217 carrots.
### Answer: 217

Expected answer: 217

Correct? Yes

🔗 Follow-up

Problem: The farmer found out that he had initially miscounted and he actually only harvested 11 carrots. After he tries to pack these into the boxes which each can hold up to 244 carrots, how many carrots will be left unpacked now?

DeepSeek Coder 33B:

Reasoning: The farmer can pack 11/244 = <<11/244=0.045>>0.045 boxes. Since we can't pack a fraction of a box, the farmer will pack 0 boxes.
The remaining carrots are 11 - 0*244 = <<11-0*244=11-0=11>>11 carrots.
### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The penguin scientist is tagging the penguins in groups of 293. To find out how many penguins will be in the final, possibly incomplete, group, we need to find the remainder when 309 is divided by 293.

309 % 293 = <<309%293=16>>16 penguins will be in the final, possibly incomplete, group.

Expected answer: 16

Correct? Yes

🔗 Problem

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 Coder 33B:

Reasoning: The shop uses up 18 slices of bread for each batch. So, the total number of slices used is 18 * the number of batches. The number of batches is the total number of slices divided by the number of slices per batch.

Let's denote the number of batches as x. Then, the total number of slices used is 18x.

The total number of slices left is the total number of slices minus the total number of slices used.

So, the number of slices left is 580 - 18x.

We can solve this equation for x, which gives us the number of batches.

Then, the number of slices left is 580 - 18 * x.

Substituting x = 580 / 18 into the equation gives us the number of slices left.

So, the number of slices left is 580 - 18 * (580 / 18) = 580 - 580 = 0.

So, after using up the bread in these batches, the shop will have 0 slices left.

Expected answer: 4

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The tailor uses 529 meters of fabric to make each dress. So, to find out how many dresses can be made, we divide the total fabric by the amount of fabric used for each dress. The remainder is the amount of fabric left over.

dresses = 925 meters / 529 meters/dress = <<925/529=1.75>>1.75 dresses

Since we can't make a fraction of a dress, the tailor will make 1 dress.

The amount of fabric left over is the total fabric minus the amount of fabric used for the dresses.

fabric left over = 925 meters - 529 meters/dress * 1 dress = <<925-529*1=406>>406 meters

So, the tailor will have 406 meters of fabric left over after making the dresses.

Expected answer: 396

Correct? No

🔗 Problem

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 Coder 33B:

Reasoning: The total number of tourists is 976. Each tour group can accommodate up to 530 people. Therefore, the number of full tour groups that can accommodate all the tourists is 976 // 530 = <<976//530=1>>1.
The number of tourists left for the last group is 976 - 1*530 = <<976-1*530=446>>446.
### Answer: 446

Expected answer: 446

Correct? Yes

🔗 Follow-up

Problem: What would happen if the number of tourists wanting to explore the castle was still 976, but this time each group could accommodate up to 726 people? How many tourists would be left for the last group of the day now?

DeepSeek Coder 33B:

Reasoning: The total number of tourists is still 976. Each tour group can now accommodate up to 726 people. Therefore, the number of full tour groups that can accommodate all the tourists is 976 // 726 = <<976//726=1>>1.
The number of tourists left for the last group is 976 - 1*726 = <<976-1*726=250>>250.
### Answer: 250

Expected answer: 250

Correct? Yes