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?

GPT-4o:

To determine how many fish will be leftover after the shark eats, we need to subtract the number of fish the shark consumes from the total number of fish in the tank.

Initially, there are 535 fish in the tank. The shark eats 461 fish in one sitting.

Let's perform the subtraction:
\[ 535 - 461 = 74 \]

So, after the shark eats 461 fish, there will be 74 fish left in the tank.

### 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?

GPT-4o:

To determine how many cookies the baker has left after distributing them equally among 186 orphanages, we need to perform a division and find the remainder.

First, we divide the total number of cookies by the number of orphanages:
\[ 928 \div 186 \]

Performing the division:
\[ 928 \div 186 \approx 4 \text{ remainder } 184 \]

To verify, we multiply the quotient by the divisor and add the remainder:
\[ 186 \times 4 = 744 \]
\[ 928 - 744 = 184 \]

Thus, the remainder is 184, which means the baker has 184 cookies left after distributing them equally among the 186 orphanages.

### Answer: 184

Expected answer: 184

Correct? Yes

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?

GPT-4o:

To determine the number of leftover slices, we need to find the remainder when 975 slices are divided by 196 slices per box.

First, we perform the division:
\[ 975 \div 196 \approx 4.974 \]

This means that 4 full boxes can be filled. To find the exact number of slices used in these 4 boxes:
\[ 4 \times 196 = 784 \]

Next, we subtract the number of slices used from the total number of slices to find the leftover slices:
\[ 975 - 784 = 191 \]

### Answer: 191

Expected answer: 191

Correct? Yes

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?

GPT-4o:

To determine how many stones the wizard will have left after summoning several creatures, we need to follow these steps:

1. Calculate how many creatures the wizard can summon with 932 stones.
2. Determine the total number of stones used to summon these creatures.
3. Subtract the total number of stones used from the initial number of stones.

First, we calculate the number of creatures the wizard can summon:
\[ \text{Number of creatures} = \left\lfloor \frac{932}{193} \right\rfloor \]

Perform the division:
\[ \frac{932}{193} \approx 4.83 \]

Since the wizard can only summon whole creatures, we take the floor value:
\[ \left\lfloor 4.83 \right\rfloor = 4 \]

Next, we calculate the total number of stones used to summon 4 creatures:
\[ \text{Total stones used} = 4 \times 193 = 772 \]

Finally, we subtract the total number of stones used from the initial number of stones:
\[ \text{Stones left} = 932 - 772 = 160 \]

### 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?

GPT-4o:

To determine how many square feet the last tile will need to cover, we first need to calculate how many full tiles the builder can use and then find the remaining area that needs to be covered.

1. Calculate the number of full tiles that can be used:
\[ \text{Number of full tiles} = \left\lfloor \frac{660 \text{ square feet}}{335 \text{ square feet per tile}} \right\rfloor \]

\[ \frac{660}{335} \approx 1.9701 \]

Since we can only use whole tiles, the builder can use 1 full tile.

2. Calculate the area covered by the full tiles:
\[ \text{Area covered by full tiles} = 1 \times 335 \text{ square feet} = 335 \text{ square feet} \]

3. Calculate the remaining area to be covered by the last tile:
\[ \text{Remaining area} = 660 \text{ square feet} - 335 \text{ square feet} = 325 \text{ square feet} \]

Therefore, the last tile will need to cover 325 square feet.

### Answer: 325 square feet.

Expected answer: 325

Correct? Yes

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

GPT-4o:

To determine how many gallons of juice will be left after filling up all the 22-gallon containers, we need to perform the following steps:

1. Calculate the number of full 22-gallon containers that can be filled with 473 gallons of juice.
2. Determine the total amount of juice used to fill these containers.
3. Subtract the total amount of juice used from the initial 473 gallons to find the remaining juice.

Step 1: Calculate the number of full 22-gallon containers:
\[ \text{Number of full containers} = \left\lfloor \frac{473}{22} \right\rfloor \]
\[ \frac{473}{22} \approx 21.5 \]
Since we can only have full containers, we take the floor value:
\[ \left\lfloor 21.5 \right\rfloor = 21 \]

Step 2: Determine the total amount of juice used to fill these containers:
\[ \text{Total juice used} = 21 \times 22 = 462 \text{ gallons} \]

Step 3: Subtract the total amount of juice used from the initial 473 gallons:
\[ \text{Remaining juice} = 473 - 462 = 11 \text{ gallons} \]

### Answer: 11 gallons

Expected answer: 11

Correct? Yes

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

GPT-4o:

To determine how many toy cars will be left unpacked, we need to find the remainder when 979 toy cars are divided by 108 cars per box.

First, we perform the division:
\[ 979 \div 108 \approx 9.06 \]

This means that 108 fits into 979 a total of 9 times. To find the exact number of cars packed, we multiply:
\[ 108 \times 9 = 972 \]

Next, we subtract this product from the total number of toy cars to find the remainder:
\[ 979 - 972 = 7 \]

Thus, 7 toy cars will be left unpacked at the end of the day.

### Answer: 7

Expected answer: 7

Correct? Yes

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?

GPT-4o:

To determine how many crayons will be left out of the boxes after the operation, we need to perform the following steps:

1. Calculate how many full boxes of crayons can be made.
2. Determine how many crayons will be left after filling the boxes.

First, we divide the total number of crayons by the capacity of each box:
\[ \frac{994 \text{ crayons}}{425 \text{ crayons/box}} \]

Performing the division:
\[ 994 \div 425 \approx 2.338 \]

Since we can only have whole boxes, we take the integer part of the division, which is 2. This means we can fill 2 full boxes.

Next, we calculate the number of crayons used to fill these 2 boxes:
\[ 2 \text{ boxes} \times 425 \text{ crayons/box} = 850 \text{ crayons} \]

Finally, we subtract the number of crayons used from the total number of crayons to find the remainder:
\[ 994 \text{ crayons} - 850 \text{ crayons} = 144 \text{ crayons} \]

### Answer: 144

Expected answer: 144

Correct? Yes

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

GPT-4o:

To determine how many tigers will be left in the last zone, we need to find the remainder when 740 tigers are divided by the capacity of each zone, which is 696 tigers.

First, we perform the division:
\[ 740 \div 696 \]

This division gives us:
\[ 740 \div 696 \approx 1 \text{ (quotient)} \]

Next, we calculate the remainder:
\[ 740 - (696 \times 1) = 740 - 696 = 44 \]

So, when 740 tigers are distributed evenly among the zones, 44 tigers will be 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?

GPT-4o:

To determine how many hats will be left over, we need to perform a division operation and find the remainder.

First, we divide the total number of hats by the number of hats per box:
\[ 830 \div 421 \]

Performing the division:
\[ 830 \div 421 \approx 1 \text{ remainder } 409 \]

This means that 1 box will be completely filled with 421 hats, and there will be 409 hats left over.

### Answer: 409

Expected answer: 409

Correct? Yes

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

GPT-4o:

Since the fish repopulate at the same rate that the fisherman is depleting them, the number of fish in the lake remains constant. 

Therefore, the number of fish left after a month will be the same as the initial number of fish.

### Answer: 871

Expected answer: 296

Correct? No

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

GPT-4o:

To determine how many beach balls will not fit into the bags, we need to find the remainder when 891 beach balls are divided by 119 beach balls per bag.

First, we perform the division:
\[ 891 \div 119 \approx 7.487 \]

Next, we calculate the integer part of the division:
\[ 7 \]

Now, we multiply the number of full bags by the number of beach balls each bag can hold:
\[ 7 \times 119 = 833 \]

Finally, we subtract this product from the total number of beach balls to find the remainder:
\[ 891 - 833 = 58 \]

### Answer: 58

Expected answer: 58

Correct? Yes

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?

GPT-4o:

To determine how many stars will remain ungrouped, we need to find the remainder when 544 stars are divided by 446 stars per cluster.

First, we perform the division:
\[ 544 \div 446 \approx 1.22 \]

This means that 544 stars can be grouped into 1 full cluster of 446 stars, with some stars left over.

Next, we calculate the number of stars that remain ungrouped by finding the remainder of the division:
\[ 544 \mod 446 \]

Performing the subtraction to find the remainder:
\[ 544 - 446 = 98 \]

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?

GPT-4o:

To determine how many socks will remain unpackaged, we need to find the remainder when 805 is divided by 132.

First, we perform the division:
\[ 805 \div 132 \approx 6.098 \]

Next, we multiply the integer part of the quotient by 132 to find out how many socks are fully packaged:
\[ 6 \times 132 = 792 \]

Now, we subtract this product from the total number of socks to find the remainder:
\[ 805 - 792 = 13 \]

Thus, 13 socks will remain unpackaged.

### Answer: 13

Expected answer: 13

Correct? Yes

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?

GPT-4o:

To determine how many people will view the event on the final night, we need to divide the total number of members by the number of people the telescope can handle each night and find the remainder.

First, we perform the division:
\[ 759 \div 228 \]

Using integer division:
\[ 759 \div 228 \approx 3 \]
This means 3 full nights of viewing, with each night accommodating 228 people.

Next, we calculate the total number of people who can view the event in these 3 nights:
\[ 3 \times 228 = 684 \]

Now, we subtract this number from the total number of members to find out how many people will be left for the final night:
\[ 759 - 684 = 75 \]

Thus, 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?

GPT-4o:

To determine how many letters will remain in the last mailbox, we need to find the remainder when 891 letters are divided by the capacity of each mailbox, which is 616 letters.

First, we perform the division:
\[ 891 \div 616 \]

This division gives us:
\[ 891 \div 616 \approx 1.446 \]

The quotient is 1, meaning each mailbox can hold 616 letters, and there will be some letters left over. To find the remainder, we use the formula:
\[ \text{Remainder} = 891 - (616 \times 1) \]

Calculating the product:
\[ 616 \times 1 = 616 \]

Subtracting this from the total number of letters:
\[ 891 - 616 = 275 \]

Thus, 275 letters will remain 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?

GPT-4o:

To determine how many flies are left after the frog jumps and eats flies, we need to perform the following steps:

1. Calculate the total number of flies eaten by the frog.
2. Subtract the total number of flies eaten from the initial number of flies.

Given:
- Initial number of flies: 941
- Number of flies eaten per jump: 258

First, we need to find out how many jumps the frog makes. Since the problem does not specify the number of jumps, we will assume the frog makes one jump.

Number of flies eaten in one jump:
\[ 258 \]

Now, subtract the number of flies eaten from the initial number of flies:
\[ 941 - 258 \]

Perform the subtraction:
\[ 941 - 258 = 683 \]

Thus, after one jump, the number of flies left is 683.

### Answer: 683

Expected answer: 167

Correct? No

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?

GPT-4o:

To determine how many spare spaces will be in the last row, we first need to calculate how many spaces each row will have when the 991 spaces are evenly distributed among the 66 rows.

First, we perform the division:
\[ 991 \div 66 \approx 15 \]
This means each row will have 15 spaces, but we need to check the remainder to find out how many spaces will be left over.

Next, we calculate the remainder:
\[ 991 \mod 66 = 991 - (66 \times 15) \]
\[ 66 \times 15 = 990 \]
\[ 991 - 990 = 1 \]

So, after distributing 15 spaces to each of the 66 rows, there will be 1 spare space left over.

### Answer: 1

Expected answer: 1

Correct? Yes

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

GPT-4o:

To determine how many liters of water overflow and can't be distributed evenly among the 167 water bottles, we need to perform the division and find the remainder.

First, we divide 193 liters by 167 bottles:
\[ 193 \div 167 \approx 1.156 \]

This means each bottle can hold 1 liter of water, and we need to find the remainder.

Next, we calculate the total amount of water that can be evenly distributed:
\[ 167 \times 1 = 167 \text{ liters} \]

Now, we subtract this from the total amount of water to find the overflow:
\[ 193 - 167 = 26 \text{ liters} \]

### Answer: 26

Expected answer: 26

Correct? Yes

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

GPT-4o:

To determine how many eggs would be left over, we need to perform a division and find the remainder.

First, we divide the total number of eggs by the number of eggs each row can hold:
\[ 996 \div 319 \]

Performing the division:
\[ 996 \div 319 \approx 3.12 \]

This means that 3 full rows can be formed, and we need to find the remainder to determine how many eggs are left over.

To find the remainder, we multiply the number of full rows by the number of eggs per row and subtract from the total number of eggs:
\[ 3 \times 319 = 957 \]
\[ 996 - 957 = 39 \]

So, there are 39 eggs left over.

### Answer: 39

Expected answer: 39

Correct? Yes

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

GPT-4o:

To determine how many bulbs would be left unpacked, we need to find the remainder when 691 is divided by 205.

First, we perform the division:
\[ 691 \div 205 \approx 3.37 \]

This means that 3 full packs can be made. To find the exact number of bulbs used in these 3 packs, we multiply:
\[ 3 \times 205 = 615 \]

Next, we subtract the number of bulbs used in the packs from the total number of bulbs:
\[ 691 - 615 = 76 \]

So, there would be 76 bulbs left unpacked.

### 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?

GPT-4o:

To determine how many bales of hay will be left for the last barn, we need to perform the division of the total number of bales by the capacity of each barn and find the remainder.

First, we divide the total number of bales by the capacity of each barn:
\[ 330 \div 259 \]

Performing the division:
\[ 330 \div 259 \approx 1.274 \]

This means that each barn can hold 1 full load of 259 bales, and there will be some bales left over. To find the exact number of bales left over, we calculate the remainder of the division:
\[ 330 \mod 259 \]

The remainder is calculated as follows:
\[ 330 - (259 \times 1) = 330 - 259 = 71 \]

So, after filling up the barns as evenly as possible, 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?

GPT-4o:

To determine how many windows will remain for the team to install on the next day, we need to find the remainder when 166 windows are divided by 137 windows per day.

First, we perform the division:
\[ 166 \div 137 \approx 1.21 \]

This means that one full day of work will cover 137 windows, and we need to find out how many windows are left after this.

Next, we calculate the remainder:
\[ 166 - 137 = 29 \]

So, after one full day of installing 137 windows, 29 windows will remain for the team to install on the next day.

### Answer: 29

Expected answer: 29

Correct? Yes

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

GPT-4o:

To determine how many campers will be left over after distributing them evenly among the tents, we need to perform a division and find the remainder.

First, we divide the total number of campers by the capacity of each tent:
\[ 533 \div 445 \]

Performing the division:
\[ 533 \div 445 \approx 1 \text{ remainder } 88 \]

This means that one tent will be completely filled with 445 campers, and there will be a remainder of 88 campers who cannot fit into the tent.

### 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?

GPT-4o:

To determine how many seashells will be left without a set, we need to find the remainder when 999 seashells are divided by 474.

First, we perform the division:
\[ 999 \div 474 \approx 2.107 \]

This means that 474 fits into 999 a total of 2 times. To find the remainder, we calculate:
\[ 999 - (474 \times 2) \]

Calculating the product:
\[ 474 \times 2 = 948 \]

Now, subtract this product from the total number of seashells:
\[ 999 - 948 = 51 \]

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?

GPT-4o:

To determine how many skirts the tailor can make, we first divide the total fabric by the amount required for each skirt:

\[
\frac{366 \text{ meters}}{160 \text{ meters/skirt}} = 2.2875 \text{ skirts}
\]

Since the tailor can only make whole skirts, we take the integer part of the division, which is 2 skirts.

Next, we calculate the total fabric used for 2 skirts:

\[
2 \text{ skirts} \times 160 \text{ meters/skirt} = 320 \text{ meters}
\]

Finally, we subtract the fabric used from the total fabric to find the remaining fabric:

\[
366 \text{ meters} - 320 \text{ meters} = 46 \text{ meters}
\]

### Answer: 46 meters

Expected answer: 46

Correct? Yes

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

GPT-4o:

To determine how many dolls will be left once all the boxes are packed to their capacities, we need to perform the following steps:

1. Calculate how many full boxes can be packed.
2. Determine how many dolls will be left after packing the full boxes.

First, we divide the total number of dolls by the capacity of each box:

\[ \frac{993}{327} \]

Performing the division:

\[ 993 \div 327 = 3 \]

This means 3 full boxes can be packed. Now, we calculate the total number of dolls packed in these 3 boxes:

\[ 3 \times 327 = 981 \]

Next, we subtract the number of dolls packed in the boxes from the total number of dolls to find out how many dolls are left:

\[ 993 - 981 = 12 \]

### Answer: 12

Expected answer: 12

Correct? Yes

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?

GPT-4o:

To determine how many stuffed animals the child will have left over after distributing them equally among their 839 friends, we need to perform a division and find the remainder.

First, we divide 964 by 839:
\[ 964 \div 839 \approx 1 \]

Next, we calculate the product of the quotient and the divisor:
\[ 1 \times 839 = 839 \]

Then, we subtract this product from the total number of stuffed animals to find the remainder:
\[ 964 - 839 = 125 \]

So, the child will have 125 stuffed animals left over.

### Answer: 125

Expected answer: 125

Correct? Yes

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

GPT-4o:

To determine how many teddy bears will be left after packing them into boxes, we need to perform the following steps:

1. Calculate the number of full boxes that can be filled with 369 teddy bears.
2. Determine how many teddy bears will be left after filling the full boxes.

First, we divide the total number of teddy bears by the capacity of each box:
\[ \frac{369}{270} \approx 1.3667 \]

This means we can fill 1 full box (since we can only have whole boxes).

Next, we calculate the number of teddy bears in 1 full box:
\[ 1 \times 270 = 270 \]

Now, we subtract the number of teddy bears in the full boxes from the total number of teddy bears to find out how many are left:
\[ 369 - 270 = 99 \]

### 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?

GPT-4o:

To determine how many snowballs are left over after building the snowmen, we need to follow these steps:

1. Calculate the number of snowmen that can be built with the available snowballs.
2. Determine the total number of snowballs used to build these snowmen.
3. Subtract the total number of snowballs used from the initial number of snowballs to find the leftover snowballs.

First, we calculate the number of snowmen that can be built:
\[ \text{Number of snowmen} = \left\lfloor \frac{804}{184} \right\rfloor \]

Perform the division:
\[ \frac{804}{184} \approx 4.369 \]

Since we can only build whole snowmen, we take the integer part:
\[ \left\lfloor 4.369 \right\rfloor = 4 \]

Next, we calculate the total number of snowballs used to build 4 snowmen:
\[ \text{Total snowballs used} = 4 \times 184 = 736 \]

Finally, we find the number of leftover snowballs:
\[ \text{Leftover snowballs} = 804 - 736 = 68 \]

### 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?

GPT-4o:

To determine how many rings will be left over, we need to perform a division and find the remainder.

First, we divide the total number of rings by the number of boxes:
\[ 843 \div 839 \]

Performing the division, we get:
\[ 843 \div 839 = 1 \text{ remainder } 4 \]

This means that each box will get 1 ring, and there will be 4 rings left over.

### Answer: 4

Expected answer: 4

Correct? Yes

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

GPT-4o:

To determine how many fireplaces the company can build and how many bricks will be left over, we need to perform a division and find the remainder.

First, we divide the total number of bricks by the number of bricks required for one fireplace:
\[ 819 \div 583 \]

Performing the division:
\[ 819 \div 583 \approx 1.404 \]

Since we can only build whole fireplaces, the company can build 1 fireplace. Now, we calculate the number of bricks used for 1 fireplace:
\[ 1 \times 583 = 583 \]

Next, we subtract the number of bricks used from the total number of bricks to find the remainder:
\[ 819 - 583 = 236 \]

Thus, the number of bricks left over is 236.

### Answer: 236

Expected answer: 236

Correct? Yes

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

GPT-4o:

To determine the number of marshmallows left un-packaged in a minute after all the packaging machines are filled, we need to calculate the difference between the total number of marshmallows produced and the capacity of the packaging machine.

1. The factory produces 998 marshmallows per minute.
2. The packaging machine can hold 957 marshmallows at a time.

We subtract the capacity of the packaging machine 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?

GPT-4o:

To determine how many roses will be left undistributed, we need to perform a division and find the remainder.

First, we divide the total number of roses by the number of roses per tribute:
\[ 984 \div 426 \]

Performing the division:
\[ 984 \div 426 \approx 2.31 \]

Since we are interested in whole tributes, we take the integer part of the quotient, which is 2. This means Princess can create 2 full tributes.

Next, we calculate the total number of roses used in these 2 tributes:
\[ 2 \times 426 = 852 \]

Finally, we subtract the number of roses used from the total number of roses to find the remainder:
\[ 984 - 852 = 132 \]

### Answer: 132

Expected answer: 132

Correct? Yes

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

GPT-4o:

To determine how many words are in the incomplete line at the end of the song, we need to find the remainder when 334 words are divided by 23 words per line.

First, we perform the division:
\[ 334 \div 23 \approx 14.5217 \]

This means that 23 words fit into the song 14 times completely, with some words left over. To find the exact number of words in the incomplete line, we calculate the remainder:
\[ 334 \mod 23 \]

We can also find this by multiplying the whole number part of the division by 23 and subtracting from 334:
\[ 23 \times 14 = 322 \]
\[ 334 - 322 = 12 \]

So, there are 12 words in the incomplete line at the end of the song.

### Answer: 12

Expected answer: 12

Correct? Yes

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

GPT-4o:

To determine how many pages will be left over after the teacher fills the printer multiple times, we need to perform a division and find the remainder.

First, we divide the total number of pages by the number of pages the printer can handle in one go:
\[ 928 \div 336 \]

Performing the division:
\[ 928 \div 336 \approx 2.76 \]

This means the printer can be filled completely 2 times (since we only consider the whole number part of the division).

Next, we calculate the total number of pages printed in these 2 complete runs:
\[ 2 \times 336 = 672 \]

Now, we subtract this from the total number of pages to find the remainder:
\[ 928 - 672 = 256 \]

So, after filling the printer completely 2 times, the teacher will have 256 pages left to print.

### Answer: 256

Expected answer: 256

Correct? Yes

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

GPT-4o:

To determine how many sharks are left untagged, we need to find the remainder when 972 sharks are divided into groups of 667.

First, we perform the division:
\[ 972 \div 667 \]

This division gives us:
\[ 972 \div 667 \approx 1.457 \]

Since we are interested in complete groups, we take the integer part of the quotient, which is 1. This means we can form 1 complete group of 667 sharks.

Next, we calculate the number of sharks in this complete group:
\[ 1 \times 667 = 667 \]

Now, we subtract this number from the total number of sharks to find the remainder:
\[ 972 - 667 = 305 \]

Thus, there are 305 sharks left untagged after tagging as many complete groups as possible.

### 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?

GPT-4o:

To determine how many blocks of cheese would be left over after distributing them into boxes, we need to perform a division and find the remainder.

First, we divide the total number of blocks of cheese by the number of blocks each box can contain:
\[ 686 \div 349 \]

Performing the division:
\[ 686 \div 349 = 1 \text{ remainder } 337 \]

This means that 1 full box can be filled, and there will be 337 blocks of cheese left over.

### Answer: 337

Expected answer: 337

Correct? Yes

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

GPT-4o:

To determine how many centimeters of snow will be left over after the final pass, we need to find the remainder when 513 centimeters is divided by 170 centimeters.

First, we perform the division:
\[ 513 \div 170 \approx 3 \]
This means the snowplow can make 3 full passes.

Next, we calculate the total amount of snow cleared in 3 passes:
\[ 3 \times 170 = 510 \text{ centimeters} \]

Finally, we find the remaining snow by subtracting the cleared snow from the total snowfall:
\[ 513 - 510 = 3 \text{ centimeters} \]

### 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?

GPT-4o:

To determine how many needles the compass maker will have left after installing as many full compasses as possible, we need to perform the following steps:

1. Calculate the number of full compasses that can be made with 661 needles.
2. Determine the total number of needles used for these full compasses.
3. Subtract the total number of needles used from the initial number of needles to find the remainder.

First, we calculate the number of full compasses that can be made:
\[ \text{Number of full compasses} = \left\lfloor \frac{661}{510} \right\rfloor \]
\[ \left\lfloor \frac{661}{510} \right\rfloor = 1 \]

Next, we calculate the total number of needles used for these full compasses:
\[ \text{Total needles used} = 1 \times 510 = 510 \]

Finally, we subtract the total number of needles used from the initial number of needles to find the remainder:
\[ \text{Needles left} = 661 - 510 = 151 \]

### 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?

GPT-4o:

To determine how many chairs will be left at the factory after distributing them evenly to the shops, we need to perform the following steps:

1. Calculate the number of chairs each shop can hold.
2. Determine how many full shops can be filled with the available chairs.
3. Calculate the number of chairs that will be left after filling the full shops.

Given:
- Total number of chairs = 380
- Each shop can hold = 310 chairs

First, we find out how many full shops can be filled:
\[ \text{Number of full shops} = \left\lfloor \frac{380}{310} \right\rfloor \]
\[ \text{Number of full shops} = \left\lfloor 1.2258 \right\rfloor = 1 \]

Next, we calculate the number of chairs that will be distributed to these full shops:
\[ \text{Chairs distributed} = 1 \times 310 = 310 \]

Finally, we find the number of chairs left at the factory:
\[ \text{Chairs left} = 380 - 310 = 70 \]

### 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?

GPT-4o:

To determine how many tomatoes will be left over after packing them into boxes, we need to perform a division and find the remainder.

First, we divide the total number of tomatoes by the number of tomatoes per box:
\[ 929 \div 154 \]

Performing the division:
\[ 929 \div 154 \approx 6 \text{ R } 5 \]

This means that 929 tomatoes can be packed into 6 full boxes, with a remainder of 5 tomatoes.

To verify:
\[ 154 \times 6 = 924 \]
\[ 929 - 924 = 5 \]

So, after packing 929 tomatoes into boxes of 154 tomatoes each, there will be 5 tomatoes left over.

### Answer: 5

Expected answer: 5

Correct? Yes

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

GPT-4o:

To determine how many pairs of ice skates will be left over after distributing them evenly among the boxes, we need to perform a division and find the remainder.

First, we divide the total number of pairs of ice skates by the number of boxes:
\[ 454 \div 128 \]

Performing the division:
\[ 454 \div 128 = 3 \text{ remainder } 70 \]

This means that each box will contain 3 pairs of ice skates, and there will be a remainder of 70 pairs of ice skates.

### Answer: 70

Expected answer: 70

Correct? Yes

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

GPT-4o:

To determine how much power is left over, we need to find the remainder when 506 units of power are divided by 385 units of power.

First, we perform the division:
\[ 506 \div 385 \approx 1.314 \]

This means that the village can consume 1 full increment of 385 units of power per day. Now, we calculate the total power consumed by the village:
\[ 1 \times 385 = 385 \text{ units} \]

Next, we subtract the consumed power from the total power generated to find the leftover power:
\[ 506 - 385 = 121 \text{ units} \]

### Answer: 121 units

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?

GPT-4o:

To determine how many energy units Blast Man will have left after firing his energy blasts, we need to follow these steps:

1. Calculate the total number of energy blasts he can fire.
2. Determine the total energy used.
3. Subtract the total energy used from the initial energy units.

First, we calculate the number of energy blasts he can fire:
\[ \text{Number of blasts} = \left\lfloor \frac{338}{16} \right\rfloor \]
\[ \frac{338}{16} = 21.125 \]
Since he can only fire whole blasts, we take the integer part:
\[ \left\lfloor 21.125 \right\rfloor = 21 \]

Next, we calculate the total energy used by these 21 blasts:
\[ \text{Total energy used} = 21 \times 16 = 336 \]

Finally, we subtract the total energy used from the initial energy units:
\[ \text{Energy units left} = 338 - 336 = 2 \]

### Answer: 2

Expected answer: 2

Correct? Yes

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

GPT-4o:

To determine how many students will be on the last school bus, we first need to calculate how many full buses are required and how many students will be left over.

1. Calculate the number of full buses needed:
\[ \text{Number of full buses} = \left\lfloor \frac{530}{144} \right\rfloor \]

Perform the division:
\[ \frac{530}{144} \approx 3.68 \]

Since we can only have whole buses, we take the integer part:
\[ \left\lfloor 3.68 \right\rfloor = 3 \]

2. Calculate the number of students these 3 full buses can carry:
\[ 3 \text{ buses} \times 144 \text{ students/bus} = 432 \text{ students} \]

3. Determine the number of students left for the last bus:
\[ 530 \text{ students} - 432 \text{ students} = 98 \text{ students} \]

Thus, the last school bus will carry 98 students.

### Answer: 98

Expected answer: 98

Correct? Yes

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

GPT-4o:

To determine how many spells the wizard will have left after distributing them equally among the 951 apprentice wizards, we need to perform the division and find the remainder.

First, we divide 999 by 951:
\[ 999 \div 951 \approx 1 \]

This means each apprentice wizard will receive 1 spell, and we need to calculate the total number of spells distributed:
\[ 951 \times 1 = 951 \]

Next, we subtract the total number of spells distributed from the original number of spells to find the remainder:
\[ 999 - 951 = 48 \]

Thus, the wizard will have 48 spells left after distributing 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?

GPT-4o:

To determine how many scooters will be left after loading the trucks, we need to perform a division and find the remainder.

First, we divide the total number of scooters by the capacity of each truck:
\[ 767 \div 369 \]

Performing the division:
\[ 767 \div 369 \approx 2 \]

This means that 2 trucks can be fully loaded. To find out how many scooters these 2 trucks can carry:
\[ 2 \times 369 = 738 \]

Next, we subtract the number of scooters carried by the 2 trucks from the total number of scooters:
\[ 767 - 738 = 29 \]

So, after loading the trucks, there will be 29 scooters left.

### 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?

GPT-4o:

To determine how many droplets would be left unconverted in the cloud, we need to find the remainder when 846 droplets are divided by 722.

First, we perform the division:
\[ 846 \div 722 \approx 1.171 \]

This means that 1 full raindrop can be formed, using 722 droplets. 

Next, we calculate the number of droplets used:
\[ 1 \times 722 = 722 \]

Then, we subtract this from the total number of droplets to find the remainder:
\[ 846 - 722 = 124 \]

So, 124 droplets would be left unconverted in the cloud.

### 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?

GPT-4o:

To determine how many unicorns will live in the last incomplete section, we need to perform the division of the total number of unicorns by the number of sections and find the remainder.

First, we divide 265 by 146:
\[ 265 \div 146 \approx 1.815 \]

This means that each section will have 1 unicorn, and there will be some unicorns left over. To find the exact number of unicorns in the last incomplete section, we calculate the remainder of the division:
\[ 265 \mod 146 \]

Performing the division:
\[ 265 \div 146 = 1 \text{ remainder } 119 \]

So, the remainder is 119, which means there are 119 unicorns in the last incomplete section.

### Answer: 119

Expected answer: 119

Correct? Yes

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

GPT-4o:

To determine how many players will be left waiting after filling all the matches, we need to find the remainder when 923 players are divided by 383 players per match.

First, we perform the division:
\[ 923 \div 383 \approx 2.41 \]

This means that 2 full matches can be formed, as only the integer part of the division is considered.

Next, we calculate the total number of players that can enter these 2 full matches:
\[ 2 \times 383 = 766 \]

Now, we subtract this number from the total number of players to find out how many players are left waiting:
\[ 923 - 766 = 157 \]

### Answer: 157

Expected answer: 157

Correct? Yes

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

GPT-4o:

To determine how many cannonballs will be left uncrated, we need to perform the division of 923 cannonballs by 499 crates and find the remainder.

First, we perform the division:
\[ 923 \div 499 \]

This division gives us:
\[ 923 \div 499 \approx 1 \text{ (quotient)} \]

Next, we multiply the quotient by the divisor to find out how many cannonballs are distributed:
\[ 1 \times 499 = 499 \]

Now, we subtract this product from the total number of cannonballs to find the remainder:
\[ 923 - 499 = 424 \]

Thus, after distributing the cannonballs as evenly as possible, 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?

GPT-4o:

To determine how many string spools are left after distributing them to the kites, we start with the total number of string spools and subtract the number of kites, since each kite gets one spool.

Total number of string spools: 530
Number of kites: 518

We perform the subtraction:
\[ 530 - 518 = 12 \]

So, there are 12 string spools left in the store after each kite gets one spool.

### 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?

GPT-4o:

To determine how many gallons of milk will be left over after filling the jugs, we need to perform a division and find the remainder.

First, we divide the total gallons of milk by the capacity of each jug:
\[ 913 \div 39 \]

Performing the division:
\[ 913 \div 39 \approx 23 \text{ (quotient)} \]

Next, we multiply the quotient by the capacity of each jug to find out how much milk is used:
\[ 23 \times 39 = 897 \]

Now, we subtract this amount from the total gallons to find the remainder:
\[ 913 - 897 = 16 \]

So, after filling all the jugs, 16 gallons of milk will be left over.

### Answer: 16 gallons

Expected answer: 16

Correct? Yes

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

GPT-4o:

To determine how many dolls were left unarranged, we need to find the remainder when 603 is divided by 369.

First, we perform the division:
\[ 603 \div 369 \approx 1.634 \]

Next, we calculate the integer part of the division:
\[ 1 \]

Now, we multiply the integer part by 369 to find out how many dolls are arranged:
\[ 1 \times 369 = 369 \]

Finally, we subtract this product from the total number of dolls to find the remainder:
\[ 603 - 369 = 234 \]

So, the number of dolls left unarranged is 234.

### Answer: 234

Expected answer: 234

Correct? Yes

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

GPT-4o:

To determine how many beads the jewelry maker will have left over, we need to perform the following steps:

1. Calculate how many full necklaces can be made with 850 beads.
2. Determine the total number of beads used for these necklaces.
3. Subtract the total number of beads used from the initial 850 beads to find the remainder.

First, we calculate the number of full necklaces that can be made:
\[ \text{Number of full necklaces} = \left\lfloor \frac{850}{631} \right\rfloor \]

Performing the division:
\[ \frac{850}{631} \approx 1.347 \]

Since we can only make full necklaces, we take the floor value:
\[ \left\lfloor 1.347 \right\rfloor = 1 \]

Next, we calculate the total number of beads used for 1 necklace:
\[ \text{Total beads used} = 1 \times 631 = 631 \]

Finally, we subtract the total beads used from the initial number of beads:
\[ \text{Beads left over} = 850 - 631 = 219 \]

### Answer: 219

Expected answer: 219

Correct? Yes

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

GPT-4o:

To determine how many grapes will be left after the gardener has filled as many boxes as possible, we need to perform the following steps:

1. Calculate how many full boxes can be filled with 952 grapes.
2. Determine the number of grapes that will be left over after filling these boxes.

First, we divide the total number of grapes by the capacity of each box:
\[ \frac{952}{380} \approx 2.505 \]

Since we can only fill whole boxes, we take the integer part of the division, which is 2. This means the gardener can fill 2 full boxes.

Next, we calculate the number of grapes used to fill these 2 boxes:
\[ 2 \times 380 = 760 \]

Finally, we subtract the number of grapes used from the total number of grapes to find the remainder:
\[ 952 - 760 = 192 \]

### Answer: 192

Expected answer: 192

Correct? Yes

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

GPT-4o:

To determine how many steps will be left after reaching the last significant place or clue, we need to find the remainder when 236 is divided by 44.

First, we perform the division:
\[ 236 \div 44 \approx 5.36 \]

This means 44 goes into 236 a total of 5 times. To find the exact number of steps used, we multiply:
\[ 44 \times 5 = 220 \]

Next, we subtract this product from the total number of steps to find the remainder:
\[ 236 - 220 = 16 \]

So, after reaching the last significant place or clue, there will be 16 steps left.

### 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?

GPT-4o:

To determine how many bubbles are in the final, incomplete group, we need to find the remainder when 932 is divided by 507.

First, we perform the division:
\[ 932 \div 507 \approx 1.838 \]

Next, we find the integer part of the division:
\[ 1 \]

Now, we multiply the integer part by 507 to find out how many bubbles are in the complete groups:
\[ 1 \times 507 = 507 \]

Finally, we subtract this product from the total number of bubbles to find the remainder:
\[ 932 - 507 = 425 \]

So, the number of bubbles in the final, incomplete group is 425.

### Answer: 425

Expected answer: 425

Correct? Yes

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

GPT-4o:

To determine how many kids will be waiting for their turn after all the swing sets are occupied, we need to perform the following steps:

1. Calculate how many full swing sets can be filled with 931 kids.
2. Determine how many kids will be left after filling the swing sets.

First, we divide the total number of kids by the number of kids each swing set can accommodate:

\[ 931 \div 34 \]

Performing the division:

\[ 931 \div 34 \approx 27 \text{ remainder } 13 \]

This means 27 full swing sets can be filled, and there will be a remainder of 13 kids.

Thus, after all the swing sets are occupied, 13 kids will be waiting for their turn.

### Answer: 13

Expected answer: 13

Correct? Yes

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?

GPT-4o:

To determine how many dollar bills John has left after fully loading as many wallets as he can, we need to perform the following steps:

1. Calculate how many wallets can be fully loaded with 433 dollar bills each.
2. Determine the total number of dollar bills used to fully load these wallets.
3. Subtract the total number of dollar bills used from the initial amount John has.

First, we calculate the number of fully loaded wallets:
\[ \text{Number of fully loaded wallets} = \left\lfloor \frac{943}{433} \right\rfloor \]

Performing the division:
\[ \frac{943}{433} \approx 2.177 \]

Since we can only have whole wallets, we take the floor value:
\[ \left\lfloor 2.177 \right\rfloor = 2 \]

Next, we calculate the total number of dollar bills used to fully load these 2 wallets:
\[ \text{Total dollar bills used} = 2 \times 433 = 866 \]

Finally, we subtract the total number of dollar bills used from the initial amount John has:
\[ \text{Dollar bills left} = 943 - 866 = 77 \]

### Answer: 77

Expected answer: 77

Correct? Yes

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

GPT-4o:

To determine how many passengers will be left behind after the helicopter makes the first full trip, we need to subtract the number of passengers the helicopter can carry in one trip from the total number of passengers.

The total number of passengers is 240.
The helicopter can carry 177 passengers in one trip.

We perform the subtraction:
\[ 240 - 177 = 63 \]

So, after the first full trip, 63 passengers will be 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?

GPT-4o:

To determine how many flowers the gardener will have left to plant after filling up as many flowerbeds as possible, we need to perform a division and find the remainder.

First, we divide the total number of flowers by the capacity of each flowerbed:
\[ 982 \div 555 \]

Performing the division:
\[ 982 \div 555 \approx 1.769 \]

Since we are interested in whole flowerbeds, we take the integer part of the quotient, which is 1. This means the gardener can fill 1 flowerbed completely.

Next, we calculate how many flowers are used to fill 1 flowerbed:
\[ 1 \times 555 = 555 \]

Now, we subtract this number from the total number of flowers to find the remainder:
\[ 982 - 555 = 427 \]

Thus, the gardener will have 427 flowers left to plant after filling up as many flowerbeds as possible.

### Answer: 427

Expected answer: 427

Correct? Yes

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

GPT-4o:

To determine how many plants will be remaining after dividing 203 strawberry plants into groups of 5, we need to perform a division and find the remainder.

First, we divide 203 by 5:
\[ 203 \div 5 = 40 \text{ remainder } 3 \]

This means that when 203 is divided by 5, the quotient is 40 and the remainder is 3. Therefore, 3 plants will be 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?

GPT-4o:

To determine how many carrots the gardener will have left after creating as many bundles of 16 as possible, we need to perform a division and find the remainder.

First, we divide the total number of carrots by the number of carrots per bundle:
\[ 355 \div 16 \]

Performing the division:
\[ 355 \div 16 = 22 \text{ remainder } 3 \]

This means that 355 divided by 16 gives a quotient of 22 and a remainder of 3. The quotient represents the number of complete bundles, and the remainder represents the number of carrots left over.

### Answer: 3

Expected answer: 3

Correct? Yes

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

GPT-4o:

To determine how many inches of rain would be left to make the days evenly rainy, we first need to calculate the average rainfall per day over the 29 days.

First, we divide the total rainfall by the number of days:
\[ \text{Average rainfall per day} = \frac{612 \text{ inches}}{29 \text{ days}} \]

Performing the division:
\[ \frac{612}{29} = 21.1 \text{ inches/day} \]

Since the rainfall must be evenly distributed, each day should receive 21.1 inches of rain. However, since rainfall is typically measured in whole numbers, we need to check if there is any remainder when dividing the total rainfall by the number of days.

To find the remainder, we can use the modulo operation:
\[ 612 \mod 29 = 612 - (29 \times 21) \]
\[ 612 - 609 = 3 \]

So, there are 3 inches of rain left over after distributing 21 inches of rain evenly over 29 days.

### Answer: 3 inches

Expected answer: 3

Correct? Yes

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

GPT-4o:

To determine how many boxes will be left over, we first need to find out how many full trucks can be loaded and then calculate the remaining boxes.

1. Calculate the number of full trucks:
\[ \text{Number of full trucks} = \left\lfloor \frac{514}{371} \right\rfloor \]
\[ \left\lfloor \frac{514}{371} \right\rfloor = 1 \]

2. Calculate the total number of boxes that can be loaded into these full trucks:
\[ \text{Total boxes in full trucks} = 1 \times 371 = 371 \]

3. Calculate the number of boxes left over:
\[ \text{Boxes left over} = 514 - 371 = 143 \]

### 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?

GPT-4o:

To determine how many sandcastles were left that didn't form a complete set, we need to find the remainder when 684 is divided by 230.

First, we perform the division:
\[ 684 \div 230 \approx 2.973 \]

This means that 230 fits into 684 a total of 2 times completely. To find the remainder, we calculate:
\[ 230 \times 2 = 460 \]

Next, we subtract this product from the total number of sandcastles:
\[ 684 - 460 = 224 \]

So, there are 224 sandcastles left that didn't form a complete set.

### Answer: 224

Expected answer: 224

Correct? Yes

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

GPT-4o:

To determine how many toy cars will be left over after packaging them into packs of 348, we need to perform a division and find the remainder.

First, we divide the total number of toy cars by the number of cars per pack:
\[ 735 \div 348 \]

Performing the division:
\[ 735 \div 348 \approx 2 \]

This means 2 full packs can be made. To find the exact number of toy cars used in these full packs, we multiply:
\[ 2 \times 348 = 696 \]

Next, we subtract this number from the total number of toy cars to find the remainder:
\[ 735 - 696 = 39 \]

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?

GPT-4o:

To determine how many animals will be left in the last not fully occupied territory, we need to perform a division and find the remainder.

First, we divide the total number of animals by the number of animals each territory can support:
\[ 386 \div 95 \]

Performing the division:
\[ 386 \div 95 = 4 \text{ remainder } 16 \]

This means that 4 territories will be fully occupied, and there will be a remainder of 16 animals that will be left in the last not fully occupied territory.

### Answer: 16

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?

GPT-4o:

To determine how many trees will stay healthy after the disease has affected all possible trees, we need to subtract the number of diseased trees from the total number of trees in the forest.

Total number of trees in the forest: 801
Number of trees expected to be affected by the disease: 646

Number of healthy trees remaining = Total number of trees - Number of diseased trees
= 801 - 646
= 155

### Answer: 155

Expected answer: 155

Correct? Yes

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

GPT-4o:

To determine how many meters the last piece of the rope will be, we need to find out how many full pieces of 902 meters can be cut from the 934-meter rope and what the remainder will be.

First, we perform the division to find the number of full pieces:
\[ \text{Number of full pieces} = \left\lfloor \frac{934}{902} \right\rfloor \]

Calculating the division:
\[ \frac{934}{902} \approx 1.0355 \]

Taking the floor value, we get:
\[ \left\lfloor 1.0355 \right\rfloor = 1 \]

This means we can cut 1 full piece of 902 meters from the rope. Now, we need to find the remainder of the rope after cutting this piece:
\[ \text{Remainder} = 934 - (1 \times 902) \]
\[ \text{Remainder} = 934 - 902 \]
\[ \text{Remainder} = 32 \]

Thus, the last piece of the rope will be 32 meters long.

### Answer: 32 meters

Expected answer: 32

Correct? Yes

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

GPT-4o:

To determine how many liters of milk are left over each day after filling the 550-liter containers, we need to subtract the total capacity of the containers from the total amount of milk produced.

First, we note that the dairy farm produces 561 liters of milk each day.

Next, we know that the milk is packaged into 550-liter containers. Therefore, the amount of milk that can be fully packaged each day is 550 liters.

To find the leftover milk, we subtract the capacity of the containers from the total milk produced:
\[ 561 \text{ liters} - 550 \text{ liters} = 11 \text{ liters} \]

### Answer: 11 liters

Expected answer: 11

Correct? Yes

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

GPT-4o:

To determine how many pieces Jon will have left over after completing a full puzzle, we need to find the remainder when 259 is divided by 258.

First, we perform the division:
\[ 259 \div 258 = 1 \text{ remainder } 1 \]

This means Jon can complete 1 full puzzle and will have 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?

GPT-4o:

To determine how many beads the jewelry maker will have left after creating as many bracelets as possible, we need to perform a division and find the remainder.

First, we divide the total number of beads by the number of beads per bracelet:
\[ 673 \div 49 \]

Performing the division:
\[ 673 \div 49 \approx 13 \text{ R} 36 \]

This means that 673 divided by 49 is 13 with a remainder of 36. The remainder represents the number of beads left after making as many full bracelets as possible.

### Answer: 36

Expected answer: 36

Correct? Yes

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

GPT-4o:

To determine how many calls the last operator will handle, we need to divide the total number of calls by the number of operators and find the remainder.

First, we perform the division:
\[ 927 \div 311 \]

This division gives us:
\[ 927 \div 311 = 2 \text{ remainder } 305 \]

This means each operator handles 2 calls, and there are 305 calls left over. Since the remainder represents the extra calls that need to be distributed, the last operator will handle these remaining calls.

### Answer: 305

Expected answer: 305

Correct? Yes

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?

GPT-4o:

To determine how many pieces will be left outside without a package, we need to find the remainder when 764 is divided by 589.

First, perform the division:
\[ 764 \div 589 \approx 1.297 \]

This means that 589 fits into 764 exactly once, with some remainder. To find the remainder, we calculate:
\[ 764 - (589 \times 1) = 764 - 589 = 175 \]

So, the number of pieces left outside without a package is 175.

### Answer: 175

Expected answer: 175

Correct? Yes

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

GPT-4o:

To determine how many meters of fabric the dressmaker will have left after making as many dresses as possible, we need to perform the following steps:

1. Calculate the number of dresses she can make with 984 meters of fabric.
2. Determine the total amount of fabric used for these dresses.
3. Subtract the total fabric used from the initial amount of fabric to find the remaining fabric.

First, we calculate the number of dresses she can make:
\[ \text{Number of dresses} = \left\lfloor \frac{984 \text{ meters}}{217 \text{ meters per dress}} \right\rfloor \]

Performing the division:
\[ \frac{984}{217} \approx 4.534 \]

Since she can only make whole dresses, she can make 4 dresses.

Next, we calculate the total amount of fabric used for 4 dresses:
\[ \text{Total fabric used} = 4 \times 217 \text{ meters} = 868 \text{ meters} \]

Finally, we subtract the total fabric used from the initial amount of fabric to find the remaining fabric:
\[ \text{Remaining fabric} = 984 \text{ meters} - 868 \text{ meters} = 116 \text{ meters} \]

### Answer: 116 meters

Expected answer: 116

Correct? Yes

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

GPT-4o:

To determine how many sleeping bags will be left after dividing them equally among the campsites, we need to perform the division and find the remainder.

First, we divide the total number of sleeping bags by the number of sleeping bags per campsite:
\[ 639 \div 374 \]

Performing the division:
\[ 639 \div 374 \approx 1 \text{ remainder } 265 \]

This means that each campsite will get 1 sleeping bag, and there will be a remainder of 265 sleeping bags.

### 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?

GPT-4o:

To determine how many pizzas will be left over, we need to find the remainder when 620 pizzas are divided by the box capacity of 578 pizzas.

First, we perform the division:
\[ 620 \div 578 \approx 1.072 \]

This means that 578 pizzas fit into one full box, and we need to find out how many pizzas are left over.

Next, we calculate the number of pizzas that fit into the full box:
\[ 1 \times 578 = 578 \]

Now, we subtract this from the total number of pizzas to find the remainder:
\[ 620 - 578 = 42 \]

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?

GPT-4o:

To determine how many robots will not fit in the storage unit, we need to find the remainder when the total number of robots is divided by the storage capacity of one unit.

First, we divide the total number of robots by the storage capacity:
\[ 820 \div 684 \approx 1.198 \]

This means that one full storage unit can hold 684 robots, and there will be some robots left over. To find the exact number of robots that remain outside, we calculate the remainder of the division:
\[ 820 \mod 684 \]

Performing the subtraction to find the remainder:
\[ 820 - 684 = 136 \]

So, 136 robots will not fit in the storage unit and will remain outside.

### 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?

GPT-4o:

To determine how many droplets will be left when the cloud is dry after the final cycle, we need to understand the process of reduction.

Initially, the cloud has 516 droplets. The cloud loses droplets in cycles of 289 droplets each.

First, we calculate how many full cycles of 289 droplets the cloud can go through:
\[ \text{Number of full cycles} = \left\lfloor \frac{516}{289} \right\rfloor \]

Performing the division:
\[ \frac{516}{289} \approx 1.785 \]

Since we are looking for full cycles, we take the integer part:
\[ \left\lfloor 1.785 \right\rfloor = 1 \]

This means the cloud can go through 1 full cycle of losing 289 droplets.

Next, we calculate the number of droplets left after 1 full cycle:
\[ \text{Droplets left} = 516 - (1 \times 289) \]
\[ \text{Droplets left} = 516 - 289 \]
\[ \text{Droplets left} = 227 \]

Therefore, after the final cycle, the cloud will have 227 droplets left.

### Answer: 227

Expected answer: 227

Correct? Yes

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

GPT-4o:

To determine how many boxes will be left unloaded, we need to find the remainder when 330 boxes are divided by the capacity of each truck, which is 4 boxes.

First, we perform the division:
\[ 330 \div 4 = 82 \text{ R } 2 \]

This means that 330 divided by 4 gives a quotient of 82 and a remainder of 2. The quotient represents the number of fully loaded trucks, and the remainder represents the number of boxes left unloaded.

### Answer: 2

Expected answer: 2

Correct? Yes

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

GPT-4o:

To determine how many potatoes will be left after packing them into crates, we need to perform a division and find the remainder.

First, we divide the total number of potatoes by the number of potatoes per crate:
\[ 649 \div 183 \]

Performing the division:
\[ 649 \div 183 \approx 3 \text{ (quotient)} \]

Next, we multiply the quotient by the number of potatoes per crate to find out how many potatoes are packed:
\[ 3 \times 183 = 549 \]

Now, we subtract this product from the total number of potatoes to find the remainder:
\[ 649 - 549 = 100 \]

So, after filling the crates, there will be 100 potatoes left.

### Answer: 100

Expected answer: 100

Correct? Yes

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

GPT-4o:

To determine how many shirts would be left outside the boxes, we need to find the remainder when 258 shirts are divided by 67 shirts per box.

First, we perform the division:
\[ 258 \div 67 \approx 3.85 \]

This means that 3 full boxes can be packed, since we only consider the integer part of the division.

Next, we calculate the total number of shirts that can be packed in these 3 full boxes:
\[ 3 \times 67 = 201 \]

Finally, we subtract this number from the total number of shirts to find the remainder:
\[ 258 - 201 = 57 \]

### 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?

GPT-4o:

To determine how many gold coins will be left over when 995 gold coins are divided among 267 pirates, we need to perform the division and find the remainder.

First, we divide 995 by 267:
\[ 995 \div 267 \approx 3.726 \]

This means each pirate will receive 3 gold coins, since we are only interested in the whole number part of the division.

Next, we calculate the total number of gold coins distributed:
\[ 3 \times 267 = 801 \]

Now, we subtract this total from the original number of gold coins to find the remainder:
\[ 995 - 801 = 194 \]

Therefore, the number of gold coins left over is 194.

### Answer: 194

Expected answer: 194

Correct? Yes

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

GPT-4o:

To determine how many snails will be left in the final group, we need to find the remainder when 776 is divided by 375.

First, perform the division:
\[ 776 \div 375 \approx 2.069 \]

This means 375 goes into 776 a total of 2 times completely. Now, multiply 375 by 2 to find out how many snails are in these two complete groups:
\[ 375 \times 2 = 750 \]

Next, subtract this product from the total number of snails to find the remainder:
\[ 776 - 750 = 26 \]

So, there will be 26 snails left in the final group.

### Answer: 26

Expected answer: 26

Correct? Yes

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

GPT-4o:

To determine how many pillows will be left outside the boxes, we need to perform a division to find out how many full boxes can be packed and then find the remainder.

First, we divide the total number of pillows produced per day by the number of pillows each box can hold:
\[ 589 \div 198 \]

Performing the division:
\[ 589 \div 198 \approx 2 \text{ remainder } 193 \]

This means that 2 full boxes can be packed, and there will be a remainder of 193 pillows.

Thus, the number of pillows left outside the boxes at the end of the day is 193.

### Answer: 193

Expected answer: 193

Correct? Yes

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

GPT-4o:

To determine how many beads the jewelry maker will have left after making as many necklaces as possible, we need to perform a division and find the remainder.

First, we divide the total number of beads by the number of beads per necklace:
\[ 633 \div 30 \]

Performing the division:
\[ 633 \div 30 = 21 \text{ R } 3 \]

This means that 633 divided by 30 gives a quotient of 21 and a remainder of 3. The quotient represents the number of complete necklaces that can be made, and the remainder represents the number of beads left over.

Thus, the jewelry maker will have 3 beads left after making as many necklaces as possible.

### 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?

GPT-4o:

To determine how many coins John will have left after distributing them equally among his 140 wallets, we need to perform a division and find the remainder.

First, we divide the total number of coins by the number of wallets:
\[ 365 \div 140 \]

Performing the division:
\[ 365 \div 140 = 2 \text{ remainder } 85 \]

This means that each wallet will get 2 coins, and there will be a remainder of 85 coins.

### Answer: 85

Expected answer: 85

Correct? Yes

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

GPT-4o:

To determine how many socks are left unpacked, we need to perform a division to find out how many full cartons can be filled and then find the remainder.

First, we divide the total number of socks by the number of socks per carton:
\[ 743 \div 451 \]

Performing the division:
\[ 743 \div 451 \approx 1.647 \]

Since we are interested in full cartons, we take the integer part of the quotient, which is 1. This means 1 full carton can be filled.

Next, we calculate the number of socks used to fill these cartons:
\[ 1 \times 451 = 451 \]

Now, we subtract this number from the total number of socks to find the remainder:
\[ 743 - 451 = 292 \]

Thus, the number of socks left unpacked is 292.

### 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?

GPT-4o:

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

Given:
- Total number of children: 923
- Number of children who can go down the slide without rest: 771

We perform the subtraction:
\[ 923 - 771 = 152 \]

So, 152 children will be left waiting for their turn.

### Answer: 152

Expected answer: 152

Correct? Yes

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

GPT-4o:

To determine how many people will be left in the building for Iron Punch's last round of rescue, we need to find the remainder when 442 is divided by 104.

First, we perform the division:
\[ 442 \div 104 \approx 4.25 \]

This means Iron Punch can teleport 4 full groups of 104 people. To find out how many people that accounts for, we multiply:
\[ 4 \times 104 = 416 \]

Next, we subtract this number from the total number of people to find the remainder:
\[ 442 - 416 = 26 \]

So, after teleporting as many full groups as he can, there will be 26 people left in the building for his last round of rescue.

### Answer: 26

Expected answer: 26

Correct? Yes

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

GPT-4o:

To determine how many cards will be left over after creating as many packs as possible, we need to perform a division and find the remainder.

First, we divide the total number of cards by the number of cards in each pack:
\[ 569 \div 68 \]

Performing the division:
\[ 569 \div 68 \approx 8 \text{ remainder } 25 \]

To verify, we multiply the number of packs by the number of cards per pack and subtract from the total:
\[ 68 \times 8 = 544 \]
\[ 569 - 544 = 25 \]

Thus, the manufacturer will have 25 cards left over after creating as many packs as possible.

### Answer: 25

Expected answer: 25

Correct? Yes

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

GPT-4o:

To determine how many erasers will be left over after filling as many boxes as possible, we need to perform a division and find the remainder.

First, we divide the total number of erasers by the number of erasers per box:
\[ 842 \div 719 \]

Performing the division:
\[ 842 \div 719 = 1 \text{ remainder } 123 \]

This means that 1 box can be completely filled, and 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?

GPT-4o:

To determine how many carrots will be left unpacked, we first need to find out how many full boxes the farmer can pack and then calculate the remaining carrots.

1. Calculate the number of full boxes:
\[ \text{Number of full boxes} = \left\lfloor \frac{461}{244} \right\rfloor \]
\[ \left\lfloor \frac{461}{244} \right\rfloor = 1 \]

2. Calculate the number of carrots in the full boxes:
\[ \text{Carrots in full boxes} = 1 \times 244 = 244 \]

3. Calculate the number of carrots left unpacked:
\[ \text{Carrots left unpacked} = 461 - 244 = 217 \]

### 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?

GPT-4o:

To determine how many penguins will be in the final, possibly incomplete, group, we need to find the remainder when 309 is divided by 293.

First, perform the division:
\[ 309 \div 293 = 1 \text{ remainder } 16 \]

This means that 309 penguins can be divided into 1 full group of 293 penguins, with 16 penguins remaining.

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

### Answer: 16

Expected answer: 16

Correct? Yes

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

GPT-4o:

To determine how many slices of bread will be left after using them in sandwich-making batches, we need to follow these steps:

1. Calculate the total number of slices used in the batches.
2. Subtract the total number of slices used from the initial number of slices.

First, let's find out how many batches can be made with 580 slices of bread. Each batch uses 18 slices.

\[ \text{Number of batches} = \left\lfloor \frac{580}{18} \right\rfloor \]

Perform the division:

\[ \frac{580}{18} \approx 32.22 \]

Since we can only make whole batches, we take the integer part, which is 32 batches.

Next, calculate the total number of slices used in 32 batches:

\[ \text{Total slices used} = 32 \times 18 \]

\[ 32 \times 18 = 576 \]

Now, subtract the total slices used from the initial number of slices:

\[ \text{Slices left} = 580 - 576 \]

\[ 580 - 576 = 4 \]

### Answer: 4

Expected answer: 4

Correct? Yes

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

GPT-4o:

To determine how many meters of fabric will be left over after the tailor makes as many dresses as possible, we need to perform the following steps:

1. Calculate how many dresses the tailor can make with the available fabric.
2. Determine the total amount of fabric used for these dresses.
3. Subtract the total fabric used from the initial amount of fabric to find the leftover fabric.

First, we calculate the number of dresses the tailor can make:
\[ \text{Number of dresses} = \left\lfloor \frac{925 \text{ meters}}{529 \text{ meters per dress}} \right\rfloor \]

Performing the division:
\[ \frac{925}{529} \approx 1.75 \]

Since the tailor can only make whole dresses, we take the floor value:
\[ \left\lfloor 1.75 \right\rfloor = 1 \]

Next, we calculate the total amount of fabric used for 1 dress:
\[ \text{Total fabric used} = 1 \times 529 \text{ meters} = 529 \text{ meters} \]

Finally, we subtract the total fabric used from the initial amount of fabric to find the leftover fabric:
\[ \text{Leftover fabric} = 925 \text{ meters} - 529 \text{ meters} = 396 \text{ meters} \]

### Answer: 396 meters

Expected answer: 396

Correct? Yes

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

GPT-4o:

To determine how many tourists will be left for the last group of the day, we need to find the remainder when 976 tourists are divided by the capacity of each tour group, which is 530 people.

First, we perform the division:
\[ 976 \div 530 \approx 1.8415 \]

This means that one full group of 530 tourists can be accommodated, and we need to find out how many tourists are left after this group.

Next, we calculate the number of tourists in one full group:
\[ 1 \times 530 = 530 \]

Now, we subtract this number from the total number of tourists to find the remainder:
\[ 976 - 530 = 446 \]

Therefore, there will be 446 tourists left for the last group of the day.

### Answer: 446

Expected answer: 446

Correct? Yes