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?

CodeLlama 34B:

  Let's start by identifying the information given in the problem:

* There are 535 fish in the tank.
* The shark eats 461 fish in one sitting.
* The shark continues this pattern and only eats when there are 461 or more fish to consume.

Now, let's analyze the situation:

* The shark eats 461 fish in one sitting, which means it leaves 535 - 461 = 74 fish in the tank.
* Since the shark only eats when there are 461 or more fish to consume, it will not eat any more fish in this case.

Therefore, there will be 74 fish leftover after the shark's dinner.

### Answer: 74

Expected answer: 74

Correct? Yes

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

CodeLlama 34B:

  Reasoning: The baker gave each orphanage 928/186 = <<928/186=5>>5 cookies.
The baker has 928-186\*5 = <<928-186\*5=0>>0 cookies left.
### Answer: 0

Expected answer: 184

Correct? No

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

CodeLlama 34B:

  To find out how many slices will be left over, we need to divide the total number of slices by the number of slices that can fit in each box.

975 slices / 196 slices per box = 4.95 boxes

Since we can't have a fraction of a box, we round up to the nearest whole number, which is 5 boxes.

5 boxes x 196 slices per box = 980 slices

There will be 980 - 975 = 5 slices left over.

Expected answer: 191

Correct? No

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

CodeLlama 34B:

  The wizard casts a spell to summon 932 magical stones. Each powerful creature he summons requires 193 stones.

Let's say the wizard summons x creatures.

The total number of stones required to summon x creatures is:
193x

The wizard starts with 932 stones, so the number of stones he has left after summoning x creatures is:
932 - 193x

If the wizard wants to have 0 stones left, he needs to summon x creatures such that:
932 - 193x = 0

Solving for x, we get:
x = 932 / 193 = 4.85

Since we can't summon a fraction of a creature, the wizard will have 4 stones left after summoning 4 creatures.

Therefore, the wizard will have 4 stones left after summoning several creatures.

### Answer: 4

Expected answer: 160

Correct? No

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

CodeLlama 34B:

  To find out how many square feet the last tile will need to cover, we need to find the remainder when dividing the total square footage by the number of tiles.

Let's first calculate the total square footage:

660 square feet / 335 square feet per tile = 2 tiles

So, we need 2 tiles to cover the entire area. The last tile will need to cover the remaining square footage, which is:

660 square feet - 2 tiles x 335 square feet = 660 square feet - 670 square feet = -10 square feet

Therefore, the last tile will need to cover -10 square feet.

Expected answer: 325

Correct? No

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?

CodeLlama 34B:

  To determine how many gallons of juice will be left after filling up all the containers, we need to divide the total number of gallons of juice by the number of gallons in each container.

473 gallons of juice ÷ 22 gallons per container = 21 containers

Since we can't fill up 21 containers with 22 gallons each, we will have 473 - (21 x 22) = 473 - 462 = 11 gallons of juice left over.

Therefore, there will be 11 gallons of juice left over after filling up all the containers.

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?

CodeLlama 34B:

  Reasoning: If the toy factory produced 979 toy cars in a day and each box contains 108 cars, then the number of boxes that can be packed is 979/108 = <<979/108=9>>9.
The number of toy cars left unpacked at the end of the day is 979 - (9 x 108) = <<979-(9x108)=979-962=17>>17.
### Answer: 17

Expected answer: 7

Correct? No

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

CodeLlama 34B:

  To find out how many crayons will be left out of the boxes after the operation, we need to subtract the number of crayons that can fit in the boxes from the total number of crayons that can be made in one operation.

Let's use a mathematical equation to represent this problem:

Number of crayons left out of the boxes = Total number of crayons - Number of crayons that can fit in the boxes

We know that the total number of crayons that can be made in one operation is 994, and the number of crayons that can fit in the boxes is 425. So, we can plug these values into the equation:

Number of crayons left out of the boxes = 994 - 425

Solving for the number of crayons left out of the boxes, we get:

Number of crayons left out of the boxes = 569

Therefore, if the crayon factory operates at full capacity, there will be 569 crayons left out of the boxes after the operation.

Expected answer: 144

Correct? No

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?

CodeLlama 34B:

  To find out how many tigers will be left in the last zone, we need to first find out how many tigers each zone can hold.

Let's say there are x zones in the reserve. Each zone can hold up to 696 tigers, so the total number of tigers that can be held in all the zones is 696x.

We know that the total number of tigers in the reserve is 740, so we can set up the following equation:

740 = 696x

To solve for x, we can divide both sides of the equation by 696:

x = 740 / 696

x = 1.06

So, there are approximately 1.06 zones in the reserve.

Now, we need to find out how many tigers will be left in the last zone. We can do this by subtracting the number of tigers that can be held in all the other zones from the total number of tigers in the reserve:

740 - (696x) = 740 - (696(1.06))
740 - 758.4 = -18.4

This means that there will be -18.4 tigers left in the last zone. However, this is not possible, as the number of tigers in a zone cannot be negative. Therefore, we can conclude that the reserve cannot be divided into zones that can hold up to 696 tigers each, as there would not be enough tigers to fill the last zone.

Expected answer: 44

Correct? No

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?

CodeLlama 34B:

  To find out how many hats will be left over, we need to find the remainder when the total number of hats is divided by the number of hats in each box.

830 hats / 421 hats per box = 2 boxes with 1 hat left over

There will be 1 hat left over.

### Answer: 1

Expected answer: 409

Correct? No

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

CodeLlama 34B:

  To solve this problem, we need to find the rate at which the fish are repopulating and the rate at which the fisherman is catching them.

Let's assume that the fish are repopulating at a constant rate, say x fish per month. Since the fisherman is catching 575 fish per month, the rate at which the fish are being depleted is also 575 fish per month.

We can set up the following equation to represent the change in the number of fish in the lake over time:

ΔN = x - 575

where ΔN is the change in the number of fish in the lake over time, and x is the rate at which the fish are repopulating.

We know that the initial number of fish in the lake is 871, so we can set up the following equation to represent the initial condition:

N(0) = 871

where N(0) is the initial number of fish in the lake.

We can now use the above two equations to find the rate at which the fish are repopulating. We can do this by solving the first equation for x and substituting the result into the second equation:

x = ΔN + 575

Substituting this into the second equation, we get:

N(0) = 871 = x + 575

Solving for x, we get:

x = 871 - 575 = 306

So, the fish are repopulating at a rate of 306 fish per month.

Now, we can use this information to find the number of fish that will be left in the lake after a month. We can do this by using the first equation we set up:

ΔN = x - 575

Substituting the value of x that we just found, we get:

ΔN = 306 - 575 = -269

This means that after one month, there will be 269 fewer fish in the lake. Since the initial number of fish in the lake was 871, the number of fish that will be left in the lake after a month is:

N(1) = 871 - 269 = 602

Therefore, there will be 602 fish left in the lake after a month.

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?

CodeLlama 34B:

  To determine how many beach balls will not fit in the bags, we need to find the remainder when dividing the total number of beach balls by the number of beach balls that can fit in each bag.

Let's use the division algorithm to do this:

891 / 119 = 7 with a remainder of 10

This means that 7 full bags of beach balls can be made, with 10 beach balls left over.

Therefore, the answer is 10 beach balls will not fit in the bags.

Expected answer: 58

Correct? No

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

CodeLlama 34B:

  To find the number of stars that will remain ungrouped, we need to subtract the number of stars in each cluster from the total number of stars in the constellation.

Number of stars in each cluster = 446
Number of clusters = Total number of stars / Number of stars in each cluster
= 544 / 446
= 1.22

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

Number of clusters = 2

Number of stars in each cluster = 544 / 2
= 272

Number of stars that will remain ungrouped = Total number of stars - (Number of clusters x Number of stars in each cluster)
= 544 - (2 x 272)
= 544 - 544
= 0

Therefore, there will be no stars that remain ungrouped.

Expected answer: 98

Correct? No

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?

CodeLlama 34B:

  Reasoning: The manufacturer produces 805 socks in one shift.
They are packaged into sets of 132 each.

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

805 ÷ 132 = 6 with a remainder of 1

So, 1 sock will remain unpackaged.

### Answer: 1

Expected answer: 13

Correct? No

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

CodeLlama 34B:

  To determine how many people will view the event on the final night, we need to first calculate the number of nights required to view the event.

Let's assume that the event occurs over a period of N nights. Since the telescope can handle 228 people per night, the total number of people who can view the event per night is 228N.

We know that the total number of people who want to view the event is 759. Therefore, we can set up the following equation:

228N = 759

To solve for N, we can divide both sides of the equation by 228:

N = 759 / 228

N = 3.36

Since we cannot have a fraction of a night, we round up to the nearest whole number:

N = 4

Therefore, the event will occur over 4 nights. To find out how many people will view the event on the final night, we can subtract the total number of people who can view the event per night (228) from the total number of people who want to view the event (759):

759 - 228 = 531

Therefore, 531 people will view the event on the final night.

Expected answer: 75

Correct? No

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?

CodeLlama 34B:

  Reasoning: The postman will put 891/616 = <<891/616=1.45>>1.45 mailboxes of letters in each mailbox.
The last mailbox will contain 1.45 mailboxes of letters, which is equal to 1.45 x 616 = <<1.45*616=891>>891 letters.
### Answer: 891

Expected answer: 275

Correct? No

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

CodeLlama 34B:

  Let's say the frog jumps n times. Each time it jumps, it eats 258 flies, so the total number of flies it eats is 258n.

We know that the total number of flies that were jumping around the pond is 941. So, the number of flies that are left after the frog jumps is:

941 - 258n

We want to find out how many flies are left after the frog has jumped a certain number of times. Let's say the frog has jumped n times. Then, the number of flies that are left is:

941 - 258n

If the frog has jumped 3 times, then the number of flies that are left is:

941 - 258(3) = 941 - 774 = -133

This means that after the frog has jumped 3 times, there are -133 flies left around the pond. This is not possible, as there cannot be a negative number of flies. Therefore, we can conclude that the frog cannot jump 3 times and still have flies left around the pond.

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?

CodeLlama 34B:

  To find the number of spare spaces in the last row, we need to first find the number of spaces in the last row.

Let's assume that each row has an equal number of spaces, which is 991/66 = 15.15.

Since we can't have a fraction of a space, we round up to the nearest whole number, which is 16.

So, the last row will have 16 spaces.

Now, let's find the number of spare spaces in the last row. We can do this by subtracting the number of spaces in the last row from the total number of spaces.

991 - 16 = 975

So, there will be 975 spare spaces in the last row after all the spaces are filled.

Expected answer: 1

Correct? No

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

CodeLlama 34B:

  To find out how many liters overflow, we need to find the remainder when dividing the total amount of water by the number of bottles.

193 liters / 167 bottles = 1.14 liters per bottle

Since we can't have a fraction of a liter in a bottle, we need to round down to the nearest whole number.

1.14 liters per bottle x 167 bottles = 193 liters

So, there is no overflow. All the water can be distributed evenly among the bottles.

Expected answer: 26

Correct? No

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

CodeLlama 34B:

  To find out how many eggs would be left over to be put in the last row, we need to find the remainder when dividing the total number of eggs by the number of eggs that can fit in a row.

Let's use the Euclidean algorithm to find the greatest common divisor (GCD) of 996 and 319:

996 = 319 × 3 + 12
319 = 12 × 26 + 1
12 = 1 × 12 + 0

Therefore, the GCD of 996 and 319 is 1. This means that 1 egg would be left over to be put in the last row.

So, if the dragon distributes the eggs evenly among the rows, there would be 1 egg left over to be put in the last row.

Expected answer: 39

Correct? No

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

CodeLlama 34B:

  To find the number of bulbs that would be left unpacked, we need to find the remainder when dividing the total number of bulbs by the number of bulbs in a pack.

Let's use the Euclidean algorithm to find the greatest common divisor (GCD) of 691 and 205:

205 = 3 × 691 + 100
691 = 6 × 100 + 91
100 = 11 × 9 + 1
9 = 9

Therefore, the GCD of 691 and 205 is 9.

Now, we can find the number of bulbs that would be left unpacked by dividing the total number of bulbs by the number of bulbs in a pack and taking the remainder:

691 ÷ 205 = 3 with a remainder of 1

So, there would be 1 bulb left unpacked after filling as many packs as possible.

Expected answer: 76

Correct? No

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

CodeLlama 34B:

  To fill the barns as evenly as possible, we need to distribute the bales of hay among the barns in such a way that the difference between the number of bales in any two adjacent barns is as small as possible.

Let's assume we have x barns. We can fill the first barn with 259 bales, the second barn with 259 bales, and so on. The total number of bales in the barns will be:

259 + 259 + 259 + ... + 259 = x \* 259

Since there are 330 bales of hay in total, we need to find the value of x that makes the above equation equal to 330.

330 = x \* 259

x = 330 / 259

x = 1.27

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

x = 2

So, we need 2 barns to store all the hay. The last barn will have 330 - 2 \* 259 = 330 - 518 = -188 bales of hay.

Therefore, there will be -188 bales of hay left for the last barn.

Expected answer: 71

Correct? No

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

CodeLlama 34B:

  To find out how many windows will remain for the team to install on the next day, we need to first determine how many windows the team will install in total.

Let's start by finding out how many days it will take to install all 166 windows. We can do this by dividing the total number of windows by the number of windows the team can install per day:

166 windows / 137 windows per day = 1.2 days

Since we can't install a fraction of a window, we'll round up to the nearest whole number of days:

1.2 days ≈ 2 days

Now, let's find out how many windows the team will install on the first day:

137 windows per day × 1 day = 137 windows

So, the team will install 137 windows on the first day.

Now, let's find out how many windows the team will install on the second day:

166 windows - 137 windows = 29 windows

So, the team will install 29 windows on the second day.

Therefore, there will be 29 windows remaining for the team to install on the next day.

### Answer: 29 windows

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?

CodeLlama 34B:

  To find out how many campers will be left over after all the tents are filled, we need to find the remainder when dividing the total number of campers by the number of people that each tent can host.

Let's use the division algorithm to do this:

533 ÷ 445 = 1 with a remainder of 88

This means that 88 campers will be left over after all the tents are filled.

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?

CodeLlama 34B:

  There are 999 seashells collected from a beach.

If each beach-themed souvenir set contains 474 shells, then the number of sets that can be formed is:

999 / 474 = 2 sets

So, there will be 2 sets of beach-themed souvenir sets, each containing 474 shells.

Therefore, there will be 999 - 2 x 474 = 999 - 948 = <<999-948=51>>51 seashells left without a set.

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?

CodeLlama 34B:

  To find out how many meters of fabric will be left after making as many skirts as possible, we need to divide the total length of fabric by the length required for each skirt.

366 meters / 160 meters per skirt = 2.31 skirts

Since we can't make a fraction of a skirt, we round down to the nearest whole number, which is 2 skirts.

2 skirts x 160 meters per skirt = 320 meters

366 meters - 320 meters = 46 meters

There will be 46 meters of fabric left after making as many skirts as possible.

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?

CodeLlama 34B:

  Reasoning: The toymaker will have 993 - 327 = <<993-327=666>>666 dolls left once all the boxes are packed to their capacities.
### Answer: 666

Expected answer: 12

Correct? No

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

CodeLlama 34B:

  Reasoning: If the child distributes the stuffed animals evenly among their friends, each friend will receive 964/839 = <<964/839=1.14>>1.14 stuffed animals.
The child will have 964 - (1.14 x 839) = <<964-(1.14*839)=964-963.96=0.04>>0.04 stuffed animals left over.
### Answer: 0.04

Expected answer: 125

Correct? No

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?

CodeLlama 34B:

  To find out how many teddy bears will be left if all the teddy bears are evenly packed in the boxes, we need to first find out how many boxes will be needed to hold all the teddy bears.

Let's start by dividing the number of teddy bears produced by the number of teddy bears that can fit in each box:

369 / 270 = 1.36

This means that it will take 1.36 boxes to hold all 369 teddy bears. Since we can't have a fraction of a box, we round up to the nearest whole number:

1.36 ≈ 2

So, it will take 2 boxes to hold all 369 teddy bears.

Now, let's find out how many teddy bears will be left over:

369 - (2 x 270) = 369 - 540 = -171

Since we can't have a negative number of teddy bears, we know that there will be no teddy bears left over. All 369 teddy bears will be packaged in the 2 boxes.

Therefore, the answer is:

### Answer: 0

Expected answer: 99

Correct? No

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

CodeLlama 34B:

  To find out how many snowballs are left over, we need to subtract the number of snowballs used to build the snowmen from the total number of snowballs.

Let's start by finding out how many snowmen can be built with the 804 snowballs:

804 snowballs / 184 snowballs per snowman = 4 snowmen

Now, let's find out how many snowballs are left over:

804 snowballs - (4 snowmen x 184 snowballs per snowman) = 804 - (4 x 184) = 804 - 736 = 68 snowballs

Therefore, there are 68 snowballs left over after all the snowmen are built.

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?

CodeLlama 34B:

  Reasoning: If each box is filled, then the number of rings left over will be equal to the number of rings that are not able to be placed in a box.

Since there are 843 rings and 839 boxes, 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?

CodeLlama 34B:

  To find out how many bricks the company will have left over, we need to find the remainder of dividing the number of bricks by the number of bricks required for each fireplace.

Let's use the Euclidean algorithm to find the remainder:

819 ÷ 583 = 1 with a remainder of 166

So, the company will have 166 bricks left over after building as many fireplaces as possible.

Expected answer: 236

Correct? No

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?

CodeLlama 34B:

  Reasoning:

Let's start by identifying the information given in the problem:

* The marshmallow factory produces 998 marshmallows per minute.
* The packaging machine can only hold 957 marshmallows at a time.

Now, let's analyze the problem:

* The packaging machine can hold 957 marshmallows at a time, which means it can package 957 marshmallows in a minute.
* Since the marshmallow factory produces 998 marshmallows per minute, there will be 998 - 957 = <<998-957=41>>41 marshmallows left un-packaged in a minute.

Therefore, the number of marshmallows left un-packaged in a minute after all the packaging machines are filled is 41.

### Answer: 41

Expected answer: 41

Correct? Yes

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

CodeLlama 34B:

  To distribute the roses evenly, Princess will need to create tributes that contain an equal number of roses. Since she likes to place 426 roses in every tribute, the number of tributes she can create is 984 / 426 = 2.3.

Since she cannot create a fraction of a tribute, Princess will create 2 tributes, each containing 426 roses. This means that 426 + 426 = 852 roses will be distributed in the tributes.

Therefore, there will be 984 - 852 = 132 roses left undistributed in the castle's garden.

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?

CodeLlama 34B:

  If each line in the song has 23 words, then the total number of words in the song would be 334 / 23 = 14.5. Since a line cannot have a fraction of a word, the incomplete line at the end of the song would have 14 words.

Therefore, the answer is 14.

Expected answer: 12

Correct? No

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

CodeLlama 34B:

  To find out how many pages the teacher will have left over to print, we need to find the remainder of dividing the total number of pages by the number of pages the printer can print in one go.

Let's use the division algorithm to do this:

928 ÷ 336 = 2 with a remainder of 268

So, the teacher will have 268 pages left over to print.

Expected answer: 256

Correct? No

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

CodeLlama 34B:

  To find the number of untagged sharks, we need to subtract the number of tagged sharks from the total number of sharks.

Let's first calculate the number of tagged sharks:

667 sharks/group x 972/667 = 1.46 groups
1.46 groups x 667 sharks/group = 968 tagged sharks

Now, let's subtract the number of tagged sharks from the total number of sharks:

972 - 968 = 4 untagged sharks

Therefore, there are 4 untagged sharks left after the scientists finish tagging as many complete groups as possible.

Expected answer: 305

Correct? No

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

CodeLlama 34B:

  To find out how many blocks of cheese would be left over after all the boxes are filled, we need to find the remainder when dividing the total number of blocks of cheese by the number of blocks that can fit in each box.

Let's use the Euclidean algorithm to find the greatest common divisor (GCD) of 686 and 349:

349 = 2 × 173 + 71
173 = 2 × 86 + 1
86 = 2 × 43 + 0

So, the GCD of 686 and 349 is 71.

Now, we can find the remainder by dividing 686 by 71:

686 ÷ 71 = 9 remainder 3

So, there would be 3 blocks of cheese left over after all the boxes are filled.

Expected answer: 337

Correct? No

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

CodeLlama 34B:

  Reasoning: The snowplow can clear up to 170 centimeters of snow at a time.
To find out how many centimeters of snow will be left over after the final pass, we need to subtract the amount of snow the snowplow can clear from the total amount of snowfall.
513 - 170 = <<513-170=343>>343 centimeters of snow will be left over after the final pass.
### Answer: 343

Expected answer: 3

Correct? No

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?

CodeLlama 34B:

  To find out how many needles the compass maker will have left, we need to first find out how many full compasses the maker can make with the 661 needles.

We know that each compass uses 510 needles, so the maker can make:

661 needles / 510 needles per compass = 1.31 compasses

Since we can't make a fraction of a compass, the maker will make 1 full compass and have 11 needles left over.

Therefore, the compass maker will have 11 needles left over after installing as many full compasses as he can.

Expected answer: 151

Correct? No

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?

CodeLlama 34B:

  Reasoning: The factory has 380 chairs to distribute to its retail shops. If each shop can only hold 310 chairs, then the factory will need to distribute 380 - 310 = <<380-310=70>>70 chairs to the shops.
Therefore, there will be 70 chairs left at the factory.
### Answer: 70

Expected answer: 70

Correct? Yes

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

CodeLlama 34B:

  To find out how many tomatoes will be left over, we need to divide the total number of tomatoes by the number of tomatoes in each box.

929 tomatoes / 154 tomatoes per box = 5.99 boxes

Since we can't have a fraction of a box, we round up to the nearest whole number, which is 6 boxes.

6 boxes x 154 tomatoes per box = 924 tomatoes

So, 929 - 924 = 5 tomatoes will be left over.

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?

CodeLlama 34B:

  To find out how many pairs of ice skates will be left over, we need to first find out how many pairs of skates each box will hold. We can do this by dividing the total number of skates by the number of boxes:

454 pairs of ice skates / 128 boxes = 3.56 pairs of ice skates per box

Since we can't have a fraction of a pair of skates, we'll round this number up to the nearest whole number:

3.56 pairs of ice skates per box rounds up to 4 pairs of ice skates per box

Now, we can multiply the number of boxes by the number of pairs of skates per box to find out how many pairs of skates will be left over:

128 boxes x 4 pairs of ice skates per box = 512 pairs of ice skates

Therefore, there will be 512 pairs of ice skates left over after all the boxes are filled up equally.

Expected answer: 70

Correct? No

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

CodeLlama 34B:

  To find out how much power is left over, we need to subtract the amount of power consumed by the village from the total amount of power generated by the windmill.

Let's first calculate the number of full increments of 385 units that the village can consume in a day:

506 units / 385 units per increment = 1.31 increments

Since we can only consume full increments, we round down to the nearest whole number:

1.31 increments = 1 increment

Now, let's calculate the amount of power consumed by the village:

1 increment x 385 units per increment = 385 units

Finally, we subtract the amount of power consumed from the total amount generated to find out how much power is left over:

506 units - 385 units = 121 units

Therefore, there are 121 units of power left over at the end of the day.

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?

CodeLlama 34B:

  To find out how many energy units Blast Man will have left in his power cells after using equal units of energy firing blasts, we need to subtract the number of energy units used in each blast from the total number of energy units in his power cells.

Let's use a formula to represent this:

Energy units left = Total energy units - (Number of blasts x Energy units per blast)

Plugging in the values given in the problem, we get:

Energy units left = 338 - (x x 16)

where x is the number of blasts fired.

To find the value of x, we can set up an equation:

338 = (x x 16)

Dividing both sides by 16 gives us:

x = 338/16

x = 21

So, Blast Man fires 21 blasts before running out of energy. The number of energy units left in his power cells after using equal units of energy firing blasts is:

Energy units left = 338 - (21 x 16)
= 338 - 336
= 2

Therefore, Blast Man has 2 energy units left in his power cells after using equal units of energy firing blasts.

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?

CodeLlama 34B:

  To find out how many students will be on the last school bus, we need to first calculate how many buses are needed to transport all 530 students.

We can do this by dividing the total number of students by the capacity of each bus:

530 students / 144 students per bus = 3.7 buses

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

3.7 buses = 4 buses

So, we need 4 buses to transport all 530 students.

Now, we can calculate how many students will be on the last bus by subtracting the total number of students by the number of students that can be transported on the other buses:

530 students - (4 buses x 144 students per bus) = 530 students - (4 x 144) = 530 students - 576 = <<530-576=-46>>-46 students

Therefore, there will be -46 students on the last school bus.

Expected answer: 98

Correct? No

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

CodeLlama 34B:

  The wizard has 999 spells and wants to distribute them equally among 951 apprentice wizards. To do this, he would need to give each apprentice an integer number of spells.

Since 999 is not divisible by 951, there will be some spells left over after the wizard has distributed as many as he can to his apprentices. To find out how many spells the wizard will have left, we need to find the remainder when 999 is divided by 951.

999 ÷ 951 = 1 with a remainder of 48

So, the wizard will have 48 spells left over after giving out as many as he can to his apprentices.

### Answer: 48

Expected answer: 48

Correct? Yes

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

CodeLlama 34B:

  To determine how many scooters will be left after all the trucks are loaded, we need to calculate the number of trucks that will be needed to transport all 767 scooters.

We know that each delivery truck can carry 369 scooters, so we can calculate the number of trucks needed as follows:

767 scooters / 369 scooters per truck = 2.04 trucks

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

2 trucks

Now we know that 2 trucks will be needed to transport all 767 scooters. To find out how many scooters will be left after all the trucks are loaded, we subtract the number of scooters that can be carried by each truck from the total number of scooters:

767 scooters - (2 trucks x 369 scooters per truck) = 767 scooters - 738 scooters = 29 scooters

Therefore, there will be 29 scooters left after all the trucks are loaded.

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?

CodeLlama 34B:

  To find the number of water droplets that would be left unconverted in the cloud after reaching the maximum number of rain drops, we need to subtract the number of droplets used to form rain drops from the total number of droplets in the cloud.

Let's first calculate the number of rain drops that can be formed with the given number of droplets:

Number of rain drops = Total number of droplets / Number of droplets needed per raindrop
= 846 / 722
= 1.17

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

Number of rain drops = 2

Now, let's calculate the number of droplets that would be left unconverted in the cloud:

Number of unconverted droplets = Total number of droplets - (Number of rain drops x Number of droplets needed per raindrop)
= 846 - (2 x 722)
= 846 - 1444
= -598

Since we can't have a negative number of droplets, we know that the number of unconverted droplets is 0.

Therefore, all 846 water droplets in the cloud would be used to form raindrops, and there would be no droplets left unconverted.

Expected answer: 124

Correct? No

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?

CodeLlama 34B:

  Let's start by dividing the total number of unicorns by the number of sections:

265 unicorns / 146 sections = 1.81 unicorns per section

Since we can't have a fraction of a unicorn, we'll round up to the nearest whole number:

1.81 unicorns per section ≈ 2 unicorns per section

Now, let's find out how many unicorns will live in the last incomplete section:

265 unicorns - (146 sections x 2 unicorns per section) = 265 - 292 = -27 unicorns

Since we can't have a negative number of unicorns, we'll round up to the nearest whole number:

-27 unicorns ≈ 0 unicorns

Therefore, there will be 0 unicorns in the last incomplete section.

Expected answer: 119

Correct? No

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

CodeLlama 34B:

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

Let's use a mathematical equation to represent this situation:

923 - 383 = 540

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

Expected answer: 157

Correct? No

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

CodeLlama 34B:

  To distribute the cannonballs evenly among the crates, we need to divide the total number of cannonballs by the number of crates.

923 cannonballs / 499 crates = 1.85 cannonballs per crate

Since we cannot have a fraction of a cannonball, we will round down to the nearest whole number.

1.85 cannonballs per crate x 499 crates = 899 cannonballs

Therefore, 24 cannonballs will be left uncrated.

Expected answer: 424

Correct? No

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?

CodeLlama 34B:

  The store has 530 string spools and distributes them to 518 kites, leaving 12 spools in the store.

### 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?

CodeLlama 34B:

  To find out how many gallons will be left over after all the jugs are filled, we need to divide the total amount of milk by the capacity of each jug.

913 gallons / 39 gallons per jug = 23.59 jugs

Since we can't fill a fraction of a jug, we round up to the nearest whole number. So, we need 24 jugs to hold all the milk.

24 jugs x 39 gallons per jug = 954 gallons

913 - 954 = -41 gallons

There will be 41 gallons left over after all the jugs are filled.

Expected answer: 16

Correct? No

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

CodeLlama 34B:

  Reasoning: The doll seller arranged the dolls in rows, with 369 dolls in each row.
Since 603 is not divisible by 369, there will be some dolls left unarranged.
Let's find out how many dolls were left unarranged.

603 - (369 x 2) = 603 - 738 = <<603-738=-135>>-135

There were 135 dolls left unarranged.
### Answer: 135

Expected answer: 234

Correct? No

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

CodeLlama 34B:

  To find out how many beads the jewelry maker will have left over, we need to subtract the number of beads used for each necklace from the total number of beads.

Let's use a mathematical equation to represent this situation:

850 - (631 x 2) = 850 - 1262 = -412

The jewelry maker will have -412 beads left over after using as many beads as possible. This is a negative number, which means that the jewelry maker will not have enough beads to make all the necklaces they want.

Expected answer: 219

Correct? No

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?

CodeLlama 34B:

  To find out how many grapes the gardener will have left after filling as many boxes as possible, we need to divide the total number of grapes by the number of grapes that can fit in each box.

952 grapes / 380 grapes per box = 2.52 boxes

Since the gardener can only fill whole boxes, he will fill 2 boxes and have 2.52 - 2 = 0.52 boxes left over.

0.52 boxes x 380 grapes per box = 190 grapes

Therefore, the gardener will have 190 grapes left over after filling as many boxes as possible.

Expected answer: 192

Correct? No

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

CodeLlama 34B:

  If every 44 steps you make leads you to a significant place or clue, then the number of steps left after you reach the last significant place or clue will be the remainder of the total number of steps (236) divided by 44.

236 ÷ 44 = 5.63

So, there will be 5.63 steps left after you reach the last significant place or clue.

Expected answer: 16

Correct? No

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?

CodeLlama 34B:

  To find out how many bubbles the bubble machine makes in its final, incomplete group, we need to find the remainder when dividing the total number of bubbles by the number of bubbles in each group.

Let's use the Euclidean algorithm to find the greatest common divisor (GCD) of 932 and 507:

932 = 507 × 1 + 425
507 = 425 × 1 + 82
425 = 82 × 5 + 21
82 = 21 × 4 + 0

Therefore, the GCD of 932 and 507 is 21.

Now, we can find the remainder by dividing 932 by 21:

932 ÷ 21 = 44 with a remainder of 19

So, the bubble machine makes 19 bubbles in its final, incomplete group.

Expected answer: 425

Correct? No

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?

CodeLlama 34B:

  To determine the number of kids who will be waiting for their turn after all the swing sets are occupied, we need to first calculate the total number of kids who can be accommodated by all the swing sets.

Let's assume there are x swing sets. Each swing set can accommodate 34 kids at a time, so the total number of kids who can be accommodated by all the swing sets is:

34x

Now, we need to find the number of kids who will be waiting for their turn after all the swing sets are occupied. We can do this by subtracting the total number of kids who can be accommodated by all the swing sets from the total number of kids who want to use the swings:

931 - 34x

To find the value of x, we can set up the equation:

34x = 931

x = 27

So, there are 27 swing sets. To find the number of kids who will be waiting for their turn after all the swing sets are occupied, we can substitute the value of x into the equation:

931 - 34(27) = 931 - 958 = -27

Therefore, 27 kids will be waiting for their turn after all the swing sets are occupied.

Expected answer: 13

Correct? No

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

CodeLlama 34B:

  To determine how many dollar bills John has left, we need to subtract the number of dollar bills he has stuffed in the wallets from the total number of dollar bills he has.

Let's first calculate the number of dollar bills John has stuffed in the wallets:

433 (dollar bills per wallet) x 2 (wallets) = 866

Now, let's subtract the number of dollar bills John has stuffed in the wallets from the total number of dollar bills he has:

943 - 866 = 77

Therefore, John has 77 dollar bills left.

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?

CodeLlama 34B:

  To find out how many passengers will be left behind after 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 to be transported.

Let's do that:

240 - 177 = 63

So, after the first full trip, there will be 63 passengers left to be transported.

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?

CodeLlama 34B:

  To find out how many flowers the gardener will have left to plant, we need to first calculate how many flowerbeds the gardener can fill up.

982 flowers / 555 flowers per flowerbed = 1.77 flowerbeds

Since we can't fill up a partial flowerbed, the gardener will fill up 1 whole flowerbed, which means they will have 982 - 555 = 427 flowers left to plant.

Therefore, the gardener will have 427 flowers left to plant.

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?

CodeLlama 34B:

  Reasoning: The farmer has 203 strawberry plants and wants to divide them into groups of 5.

To find out how many groups she can make, we can divide 203 by 5:

203 ÷ 5 = 40

So, the farmer can make 40 groups of 5 plants each.

To find out how many plants will be remaining, we can subtract the number of plants in the groups from the total number of plants:

203 - (40 x 5) = 203 - 200 = 3

So, there will be 3 plants remaining after the farmer divides her plants into groups of 5.

### 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?

CodeLlama 34B:

  To create bundles of 16, the gardener will need to use 16 carrots for each bundle. If he has 355 carrots, he can create 355/16 = 22 bundles.

After creating 22 bundles, the gardener will have 355 - 22 \* 16 = 355 - 352 = 3 carrots left.

Therefore, the gardener will have 3 carrots left after creating as many bundles as he can.

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?

CodeLlama 34B:

  To find the number of inches of rain that would be left to make the days evenly rainy, we need to divide the total rainfall by the number of days.

Total rainfall: 612 inches
Number of days: 29 days

To find the average rainfall per day, we can divide the total rainfall by the number of days:

612 inches / 29 days = 21 inches per day

So, to make the days evenly rainy, there would be 21 inches of rain left to fall.

### Answer: 21 inches

Expected answer: 3

Correct? No

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?

CodeLlama 34B:

  To find out how many boxes will be left over, we need to subtract the number of boxes that can be loaded from the total number of boxes.

Let's use a formula to represent this:

Number of boxes left over = Total number of boxes - Number of boxes that can be loaded

Plugging in the values we know, we get:

Number of boxes left over = 514 - 371

Number of boxes left over = 143

Therefore, there will be 143 boxes left over after all the trucks are loaded to their full capacity.

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?

CodeLlama 34B:

  Let's start by identifying the number of sets of sandcastles that were created:

684 sandcastles / 230 sandcastles per set = 3 sets

Since there were 3 sets of sandcastles, there were 3 \* 230 = 690 sandcastles in total.

Now, let's find out how many sandcastles were left over:

690 - 684 = 6

There were 6 sandcastles left over that didn't form a complete set.

Expected answer: 224

Correct? No

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

CodeLlama 34B:

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

Let's use the information given in the problem to set up the equation:

735 toy cars / 348 toy cars per pack = 2 packs with 127 toy cars left over

Therefore, there will be 127 toy cars left over after all full packs have been filled.

### Answer: 127

Expected answer: 39

Correct? No

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?

CodeLlama 34B:

  To find the number of animals left in the last not fully occupied territory, we need to first find the number of territories that are fully occupied.

Let's assume that each territory can support 95 animals. If we divide the total number of animals (386) by the number of animals that each territory can support, we get:

386 / 95 = 4.06

This means that there are 4 fully occupied territories, with each territory having 95 animals.

Now, let's find the number of animals left in the last not fully occupied territory:

386 - (4 x 95) = 386 - 380 = 6

There are 6 animals left in the last not fully occupied territory.

Expected answer: 6

Correct? Yes

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

CodeLlama 34B:

  To determine how many trees are likely to 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.

Let's first calculate the number of diseased trees:

646 trees are expected to be affected by the disease.

Now, let's subtract the number of diseased trees from the total number of trees in the forest:

801 - 646 = 155

Therefore, there are 155 trees that are likely to stay healthy after the disease has affected all possible trees.

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?

CodeLlama 34B:

  Reasoning: The rope is 934 meters in length.
If the rope is cut into equal pieces, each piece will be 934/n meters long, where n is the number of pieces.
We want to find the last piece of the rope, which means we want to find the remainder when 934 is divided by n.
Let's assume that n is a positive integer.
Then, the last piece of the rope will be 934%n = <<934%n=0>>0 meters long.
### Answer: 0 meters.

Expected answer: 32

Correct? No

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?

CodeLlama 34B:

  To find out how many liters of milk are left over each day after filling the containers, we need to subtract the number of liters in each container from the total amount of milk produced each day.

550 liters x 561 liters = 295,550 liters

So, there are 295,550 - 561 = 289,949 liters of milk left over each day after filling the containers.

Expected answer: 11

Correct? No

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?

CodeLlama 34B:

  To find out how many pieces will be left over once Jon completes a full puzzle, we need to subtract the number of pieces required for a full puzzle from the total number of pieces Jon has.

Let's do that:

259 - 258 = <<259-258=1>>1

So, once Jon completes a full puzzle, he will have 1 piece left over.

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?

CodeLlama 34B:

  To determine how many beads the jewelry maker will have left after creating as many bracelets as possible with the exact number of beads, we need to calculate the number of bracelets she can make and the number of beads she will have left over.

Let's start by calculating the number of bracelets she can make:

673 beads / 49 beads per bracelet = 13.5 bracelets

Since we can't make a fraction of a bracelet, the jewelry maker can make 13 complete bracelets.

Now, let's calculate the number of beads she will have left over:

673 beads - (13 bracelets x 49 beads per bracelet) = 673 - (13 x 49) = 673 - 647 = 26 beads

Therefore, the jewelry maker will have 26 beads left over after creating 13 bracelets with 49 beads each.

Expected answer: 36

Correct? No

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

CodeLlama 34B:

  To find out how many calls the last operator will handle, we need to first find out how many calls each operator will handle.

If there are 311 operators and the police station received 927 calls within a week, then each operator will handle 927/311 = 2.98 calls per week.

Since we can't have a fraction of a call, we round up to the nearest whole number. So, each operator will handle 3 calls per week.

Now, we need to find out how many calls the last operator will handle. Since there are 311 operators, the last operator will handle the remaining calls, which is 927 - (311 x 3) = 927 - 930 = -3 calls.

So, the last operator will handle -3 calls.

Expected answer: 305

Correct? No

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

CodeLlama 34B:

  To find out how many pieces will be left outside without a package, we need to find the remainder when dividing the total number of pieces by the number of pieces in a package.

Let's use the Euclidean algorithm to find the greatest common divisor (GCD) of 764 and 589:

764 = 589 × 1 + 105
589 = 105 × 5 + 54
105 = 54 × 1 + 51
54 = 51 × 1 + 3
51 = 3 × 17 + 0

Therefore, the GCD of 764 and 589 is 3.

Now, let's find the remainder when dividing 764 by 3:

764 ÷ 3 = 254 r 2

So, there will be 2 pieces left outside without a package.

Expected answer: 175

Correct? No

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?

CodeLlama 34B:

  Reasoning: The dressmaker can make 984/217 = <<984/217=4.56>>4.56 dresses with 984 meters of fabric.
Since she can only make whole dresses, she will have 4 dresses.
The dressmaker will have 984 - 4 x 217 = <<984-4*217=10>>10 meters of fabric left.
### Answer: 10 meters of fabric.

Expected answer: 116

Correct? No

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?

CodeLlama 34B:

  Reasoning: If all the sleeping bags are divided equally among the campsites, each campsite will receive 639/374 = <<639/374=1.7>>1.7 sleeping bags.
Since the number of sleeping bags cannot be fractional, the number of sleeping bags left will be 639 - 374 = <<639-374=265>>265.
### 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?

CodeLlama 34B:

  To determine how many pizzas will be left over, we need to find the remainder when dividing the total number of pizzas by the number of pizzas that can fit in each box.

Let's use the division algorithm to find the quotient and remainder:

620 ÷ 578 = 1 remainder 42

This means that 1 box will be completely full, and there will be 42 pizzas left over that don't fit into a box.

Therefore, the answer is 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?

CodeLlama 34B:

  To find out how many robots will not fit and remain outside of the storage units, we need to subtract the number of robots that can fit in one storage unit from the total number of robots made.

Let's do that:

820 - 684 = 136

So, 136 robots will not fit and remain outside of the storage units.

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?

CodeLlama 34B:

  Let's call the number of water droplets in the cloud "x".

Initially, x = 516.

The cloud loses water droplets at an equal rate, so the number of droplets it loses in each cycle is equal to the number of droplets it had in the previous cycle.

After the first cycle, x = 516 - 289 = 227.

After the second cycle, x = 227 - 289 = 138.

After the third cycle, x = 138 - 289 = 101.

After the fourth cycle, x = 101 - 289 = 170.

After the fifth cycle, x = 170 - 289 = 91.

After the sixth cycle, x = 91 - 289 = 210.

After the seventh cycle, x = 210 - 289 = 31.

After the eighth cycle, x = 31 - 289 = 258.

After the ninth cycle, x = 258 - 289 = 17.

After the tenth cycle, x = 17 - 289 = 272.

After the eleventh cycle, x = 272 - 289 = 13.

After the twelfth cycle, x = 13 - 289 = 276.

After the thirteenth cycle, x = 276 - 289 = 15.

After the fourteenth cycle, x = 15 - 289 = 274.

After the fifteenth cycle, x = 274 - 289 = 19.

After the sixteenth cycle, x = 19 - 289 = 264.

After the seventeenth cycle, x = 264 - 289 = 195.

After the eighteenth cycle, x = 195 - 289 = 96.

After the nineteenth cycle, x = 96 - 289 = 193.

After the twentieth cycle, x = 193 - 289 = 154.

After the twenty-first cycle, x = 154 - 289 = 135.

After the twenty-second cycle, x = 135 - 289 = 116.

After the twenty-third cycle, x = 116 - 289 = 97.

After the twenty-fourth cycle, x = 97 - 289 = 212.

After the twenty-fifth cycle, x = 212 - 289 = 33.

After the twenty-sixth cycle, x = 33 - 289 = 256.

After the twenty-seventh cycle, x = 256 - 289 = 17.

After the twenty-eighth cycle, x = 17 - 289 = 272.

After the twenty-ninth cycle, x = 272 - 289 = 13.

After the thirtieth cycle, x = 13 - 289 = 276.

After the thirty-first cycle, x = 276 - 289 = 15.

After the thirty-second cycle, x = 15 - 289 = 274.

After the thirty-third cycle, x = 274 - 289 = 19.

After the thirty-fourth cycle, x = 19 - 289 = 264.

After the thirty-fifth cycle, x = 264 - 289 = 195.

After the thirty-sixth cycle, x = 195 - 289 = 96.

After the thirty-seventh cycle, x = 96 - 289 = 212

Expected answer: 227

Correct? No

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

CodeLlama 34B:

  Reasoning: The transport company needs to load 330 boxes into trucks. Each truck can hold exactly 4 boxes.

To find out how many boxes will be left unloaded, we need to divide the total number of boxes by the number of boxes that each truck can hold.

330 boxes / 4 boxes per truck = 82.5 trucks

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

82.5 trucks rounded up to the nearest whole number = 83 trucks

To find out how many boxes will be left unloaded, we subtract the number of trucks from the total number of boxes.

330 boxes - 83 trucks = 247 boxes

Therefore, 247 boxes will be left unloaded.

### Answer: 247 boxes will be left unloaded.

Expected answer: 2

Correct? No

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

CodeLlama 34B:

  Reasoning: The farmer has 649 potatoes and each crate can hold 183 potatoes.

To find out how many potatoes will be left after all crates are filled to their maximum capacity, we need to divide the total number of potatoes by the number of potatoes that can fit in each crate.

649 potatoes / 183 potatoes per crate = <<649/183=3.5>>3.5 crates

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

3.5 crates = <<3.5=4>>4 crates

So, there will be 649 - (4 x 183) = <<649-(4*183)=649-732=-183>>183 potatoes left after all crates are filled to their maximum capacity.

### Answer: 183

Expected answer: 100

Correct? No

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

CodeLlama 34B:

  To find out how many shirts would be left outside the boxes, we need to find the remainder when dividing the total number of shirts by the number of shirts that can fit in each box.

Let's use the division algorithm to do this:

258 ÷ 67 = 3 remainder 3

This means that there would be 3 shirts left outside the boxes.

Expected answer: 57

Correct? No

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

CodeLlama 34B:

  To divide the gold coins evenly among the pirates, we need to find the greatest common divisor (GCD) of 995 and 267. The GCD is the largest number that divides both numbers without leaving a remainder.

Using the Euclidean algorithm, we can find the GCD of 995 and 267:

995 = 267 × 3 + 208
267 = 208 × 1 + 59
208 = 59 × 3 + 27
59 = 27 × 2 + 3
27 = 3 × 9 + 0

Therefore, the GCD of 995 and 267 is 3.

To divide the gold coins evenly among the pirates, we need to divide 995 by the GCD, which is 3:

995 ÷ 3 = 331

So, there will be 331 gold coins left over after the pirates divide the gold coins evenly among themselves.

Expected answer: 194

Correct? No

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

CodeLlama 34B:

  If you group 776 snails in bunches of 375 snails, you will have 776 / 375 = 2 bunches of snails.

In the first bunch, you will have 375 snails.
In the second bunch, you will have 776 - 375 = 376 - 375 = 1 snail.

Therefore, there will be 1 snail left in the final group.

Expected answer: 26

Correct? No

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

CodeLlama 34B:

  Reasoning: The 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, the number of pillows that will be left outside the boxes at the end of the day is the remainder of 589 divided by 198, which is 59.
### Answer: 59

Expected answer: 193

Correct? No

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

CodeLlama 34B:

  To find out how many beads the jewelry maker will have left after making as many necklaces as she can, we need to divide the total number of beads by the number of beads used in each necklace.

633 beads / 30 beads per necklace = 21 necklaces

So, the jewelry maker will have 633 - 21 \* 30 = 33 beads left after making 21 necklaces.

Therefore, the jewelry maker will have 33 beads left after making as many necklaces as she can.

Expected answer: 3

Correct? No

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?

CodeLlama 34B:

  Let's start by identifying the information given in the problem:

1. John has collected 365 coins.
2. He wants to put equal numbers of coins in his 140 wallets.
3. He found out he would still have some coins left after evenly distributing them into these wallets.

Now, let's analyze the problem:

1. If John wants to put equal numbers of coins in his 140 wallets, then he needs to divide the total number of coins he has by the number of wallets he has. In this case, he needs to divide 365 coins by 140 wallets.
2. When he divides 365 coins by 140 wallets, he gets 2.6 coins per wallet.
3. Since he wants to put equal numbers of coins in each wallet, he needs to round up the number of coins per wallet to the nearest whole number. In this case, he needs to round up 2.6 coins per wallet to 3 coins per wallet.
4. Now, let's calculate how many coins John will have left after distributing them into his wallets. He has 365 coins in total, and he needs to distribute 3 coins per wallet into 140 wallets. This means he will have 365 - (3 x 140) = 365 - 420 = -55 coins left.

Therefore, John will have -55 coins left after distributing the coins into his wallets.

Expected answer: 85

Correct? No

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?

CodeLlama 34B:

  Reasoning:

Let's start by finding out how many cartons can be filled with 451 socks each.

743 socks / 451 socks per carton = 1.65 cartons

Since we can't fill up a partial carton, we can only fill up 1 carton.

1 carton x 451 socks per carton = 451 socks

Therefore, there are 451 socks left unpacked.

### Answer: 451

Expected answer: 292

Correct? No

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?

CodeLlama 34B:

  Let's start by identifying the information given in the problem:

* 923 children want to slide down the slide.
* 771 children can go down the slide without rest.

We can start by subtracting the number of children who can go down the slide without rest from the total number of children who want to slide:

923 - 771 = 152

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

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?

CodeLlama 34B:

  To determine how many people will be left in the building for Iron Punch's last round of rescue, we need to first calculate how many groups of 104 people he can teleport to safety.

Let's start by dividing the total number of people (442) by the maximum number of people he can teleport at a time (104):

442 ÷ 104 = 4.23

Since we can't teleport a fraction of a person, we round down to the nearest whole number:

4.23 ≈ 4

So, Iron Punch can teleport 4 full groups of 104 people to safety.

Now, let's calculate how many people will be left in the building for his last round of rescue:

442 - (4 x 104) = 442 - 416 = 26

Therefore, there will be 26 people left in the building for Iron Punch's last round of rescue.

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?

CodeLlama 34B:

  To find out how many cards the manufacturer will have left over, we need to find the remainder of dividing the total number of cards by the number of cards in a pack.

569 cards / 68 cards per pack = 8 packs

8 packs x 68 cards per pack = 544 cards

569 cards - 544 cards = 125 cards

Therefore, the manufacturer will have 125 cards left over.

Expected answer: 25

Correct? No

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

CodeLlama 34B:

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

Let's use the division algorithm to do this:

842 ÷ 719 = 1 remainder 23

So, there will be 23 erasers left over after filling as many boxes as possible.

Expected answer: 123

Correct? No

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?

CodeLlama 34B:

  Reasoning: The farmer can pack 461/244 = <<461/244=1.9>>1.9 boxes, which is equal to 1 full box and 0.9 boxes. Since he can only pack full boxes, he will have 0.9 boxes left unpacked.
### Answer: 0.9

Expected answer: 217

Correct? No

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?

CodeLlama 34B:

  To find the number of penguins in the final, possibly incomplete, group, we need to find the remainder when dividing the total number of penguins by the number of penguins in each group.

309 penguins / 293 penguins per group = 1 remainder 16

Therefore, there will be 16 penguins in the final, possibly incomplete, group.

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?

CodeLlama 34B:

  To find out how many slices of bread the sandwich shop will have left, we need to subtract the number of slices used in each batch from the total number of slices.

Let's first calculate the number of batches that can be made with 580 slices of bread:

580 slices / 18 slices per batch = 32 batches

Now, let's calculate the total number of slices used in all batches:

32 batches x 18 slices per batch = 576 slices

So, the sandwich shop will have 580 - 576 = 4 slices of bread left after using up the bread in all batches.

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?

CodeLlama 34B:

  To find out how many meters of fabric will be left over after completing the dresses, we need to find the remainder of dividing the total length of fabric by the length of fabric used for each dress.

925 meters / 529 meters = 1.74 dresses

1.74 dresses x 529 meters = 906.36 meters

925 meters - 906.36 meters = 18.64 meters

There will be 18.64 meters of fabric left over after completing the dresses.

Expected answer: 396

Correct? No

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?

CodeLlama 34B:

  To find out how many tourists will be left for the last group of the day, we need to subtract the total number of tourists who have been accommodated by the tour groups from the total number of tourists who want to explore the castle.

Let's first calculate the total number of tourists who have been accommodated by the tour groups:

530 tourists/group x 12 groups = 6,360 tourists

Now, let's subtract this number from the total number of tourists who want to explore the castle:

976 - 6,360 = -5,384

Since the number of tourists who have been accommodated is greater than the total number of tourists who want to explore the castle, it means that there will be no tourists left for the last group of the day.

Therefore, the answer is:

### Answer: 0

Expected answer: 446

Correct? No