Common Core Standard 4.NBT.B.6
This standard covers the following:
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: 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 13B:
Reasoning: The shark eats 461 fish in one sitting, leaving 535 - 461 = <<535-461=74>>74 fish leftover. If the shark continues this pattern and only eats when there are 461 or more fish to consume, it will eat 74 fish in the next sitting, leaving 74 - 461 = <<74-461=-387>>-387 fish leftover. ### Answer: -387
Expected answer: 74
Correct? No
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 13B:
Reasoning: The baker has 928 cookies to distribute. He can distribute 928/186 = <<928/186=5>>5 cookies to each orphanage. After distributing as many entire sets of cookies as possible, the baker has 928 - 5*186 = <<928-5*186=928-930=2>>2 cookies left. ### Answer: 2
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 13B:
Reasoning: The number of pizza boxes that can be filled with 196 slices each is: 975 / 196 = <<975/196=5>>5 So, there will be 975 - (5 x 196) = <<975-(5*196)=12>>12 left over slices after all the pizza boxes are full. ### Answer: 12
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 13B:
Reasoning: The wizard will have 932 - (193 x number of creatures) stones left. Let's say he summons x creatures. Then, the number of stones he will have left will be: 932 - (193 x x) = 932 - 193x We need to find the value of x that makes the expression equal to 0. 193x = 932 - 932 193x = -1 x = -1/193 So, the wizard will have -1/193 stones left. ### Answer: -1/193
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 13B:
Reasoning: The total area of the tiles to be installed is 660 square feet. The area of each tile is 335 square feet. To find the number of tiles needed, we can divide the total area by the area of each tile: 660 / 335 = 2 Therefore, the builder will need to install 2 tiles. To find the area of the last tile, we can subtract the area of the other tiles from the total area: 660 - (2 x 335) = 660 - 670 = 90 Therefore, the last tile will need to cover 90 square feet. ### Answer: 90
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 13B:
Reasoning: The company can fill up 22 gallons in each container, so they can fill up 473/22 = <<473/22=21.73>>21.73 containers. The number of gallons left after filling up all the containers is 473 - 21.73 x 22 = <<473-21.73 x 22=1.73>>1.73 gallons. ### Answer: 1.73 gallons
Expected answer: 11
Correct? No
Problem: A toy factory produced 979 toy cars in a day. If they packed these cars into boxes, each containing 108 cars, how many toy cars will be left unpacked at the end of the day?
CodeLlama 13B:
Reasoning: The total number of toy cars produced is 979. If each box contains 108 cars, then the number of boxes needed to pack all the toy cars is: 979 / 108 = <<979/108=9>>9 boxes The number of toy cars that will be left unpacked at the end of the day is: 979 - (9 x 108) = <<979-(9 x 108)=979-972=7>>7 toy cars ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: The toy factory now produced 979 toy cars in a day and decided to package these cars into larger boxes, each containing 684 cars. After all the cars have been packed into the larger boxes, how many toy cars would be left unpacked at the end of the day?
CodeLlama 13B:
Reasoning: The total number of toy cars produced is 979. If each box contains 684 cars, then the number of boxes needed to pack all the toy cars is: 979 / 684 = <<979/684=1.44>>1.44 boxes The number of toy cars that will be left unpacked at the end of the day is: 979 - (1.44 x 684) = <<979-(1.44 x 684)=979-936=43>>43 toy cars ### Answer: 43
Expected answer: 295
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 13B:
Reasoning: The factory can make 994 crayons in one operation. Each box can hold 425 crayons. To find out how many crayons will be left out of the boxes after the operation, we need to find the remainder when dividing 994 by 425. 994 รท 425 = 2.31 Therefore, there will be 2 crayons left out of the boxes after the operation. ### Answer: 2
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 13B:
Reasoning: Let's first find out how many tigers each zone can hold: 740 tigers / 6 zones = 120 tigers per zone Now, let's find out how many tigers will be left in the last zone: 740 tigers - (6 zones x 120 tigers per zone) = 740 tigers - 720 tigers = 20 tigers Therefore, there will be 20 tigers left in the last zone. ### Answer: 20
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 13B:
Reasoning: The total number of hats made per week is 830. The number of hats to be put in each box is 421. To find the number of hats left over, we need to subtract the number of hats in each box from the total number of hats made per week. 830 - 421 = 409 Therefore, 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?
CodeLlama 13B:
Reasoning: Let's assume that the fish repopulate at the same rate as the fisherman is depleting them. This means that the number of fish remaining in the lake after a month will be the same as the number of fish that were there at the beginning of the month. So, if there are 871 fish in the lake at the beginning of the month, and the fisherman catches 575 fish, then there will be 871 - 575 = <<871-575=296>>296 fish left in the lake after the month. ### Answer: 296
Expected answer: 296
Correct? Yes
Problem: There are 891 beach balls, and every beach bag can fit 119 beach balls. If all the beach balls are evenly placed into the bags, how many beach balls will not fit and left over?
CodeLlama 13B:
Reasoning: Let's first find out how many beach bags are needed to hold all the beach balls. We can do this by dividing the total number of beach balls by the number of beach balls that can fit in each bag. 891 beach balls / 119 beach balls per bag = 7.5 bags Since we can't have a fraction of a bag, we'll round up to the nearest whole number, which is 8 bags. Now, let's find out how many beach balls will not fit in the bags. We can do this by subtracting the total number of beach balls from the number of beach balls that will fit in the bags. 891 beach balls - (8 bags x 119 beach balls per bag) = 891 - 988 = 103 beach balls So, 103 beach balls will not fit in the bags and will be left over. ### Answer: 103 beach balls will not fit in the bags and will be left over.
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 13B:
Reasoning: There are 544 stars in the constellation, and each cluster contains 446 stars. 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. 544 - 446 = 98 So, there will be 98 stars that will remain ungrouped. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Considering the previous scenario with the constellation, suppose there were only 278 stars in the constellation instead of 544, and they were still to be grouped into smaller clusters of 446 stars each. If the clusters are evenly distributed, how many stars will now remain ungrouped?
CodeLlama 13B:
Reasoning: If there are only 278 stars in the constellation and they are to be grouped into smaller clusters of 446 stars each, then the number of clusters will be: 278 / 446 = 0.62 So, there will be 0.62 clusters. To find the number of stars that will remain ungrouped, we can subtract the number of stars in each cluster from the total number of stars: 278 - (0.62 x 446) = 278 - 289.68 = 89.32 So, there will be 89.32 stars that will remain ungrouped. ### Answer: 89.32
Expected answer: 278
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 13B:
Reasoning: The manufacturer produces 805 socks in one shift. The socks are packaged into sets of 132 each. The number of sets is equal to the number of socks divided by the number of socks in each set. The number of sets is 805/132 = <<805/132=6>>6. The number of socks that remain unpackaged is 805 - (6 x 132) = <<805-(6 x 132)=805-816>>805 - 816 = -11. ### Answer: -11 socks will remain unpackaged.
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 13B:
Reasoning: The total number of members is 759. The telescope can handle 228 people viewing the event each night. To distribute the viewing evenly, we need to divide the total number of members by the number of people the telescope can handle. 759 / 228 = 3.33 So, there will be 3 people viewing the event on the final night. ### Answer: 3
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 13B:
Reasoning: Let's call the number of letters in each mailbox "x". Since the postman has to deliver 891 letters, we can write the equation: 891 = 616x To find the number of letters that will remain in the last mailbox, we need to find the remainder when dividing 891 by 616. We can do this by finding the remainder when dividing 891 by 616 and then subtracting the number of letters in each mailbox from the total number of letters. Remainder = 891 % 616 = 295 Number of letters in each mailbox = 616 Total number of letters = 891 Number of letters that will remain in the last mailbox = 891 - 616x = 891 - 616(295) = 891 - 19650 = -19621 So, there will be -19621 letters remaining in the last mailbox. ### Answer: -19621
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 13B:
Reasoning: Let's say the frog jumps x times. Since the frog eats 258 flies each time it jumps, the total number of flies eaten by the frog is 258x. Since there are 941 flies in total, the total number of flies left after the frog has eaten all of them is: 941 - 258x = 0 Solving for x, we get: x = 941 / 258 = 3.6 Since the frog can only jump a whole number of times, the frog jumps 3 times. Therefore, there are 258 x 3 = 864 flies left after the frog has eaten all of them. ### Answer: 864
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 13B:
Reasoning: Let's assume that each row has 16 spaces. Total number of spaces = 66 rows x 16 spaces/row = 1088 spaces Since the park has a total capacity of 991 spaces, there will be 991 - 1088 = 103 spare spaces. Since the last row has 16 spaces, there will be 16 - 103 = 57 spare spaces in the last row. ### Answer: 57
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 13B:
Reasoning: Let's first find out how many liters each bottle will hold: 193 liters / 167 bottles = 1.15 liters per bottle Since each bottle can hold 1.15 liters, we can round down to the nearest whole number, which is 1 liter per bottle. Now, let's find out how many liters will overflow: 193 liters - (167 bottles x 1 liter per bottle) = 193 liters - 167 liters = 26 liters Therefore, 26 liters will overflow and cannot be distributed to the bottles. ### Answer: 26 liters
Expected answer: 26
Correct? Yes
Problem: If, instead of 193 liters of water, there were 857 liters of water that needed to be divided evenly among the 167 water bottles, how many liters would overflow and can't be distributed to the bottles now?
CodeLlama 13B:
Reasoning: Let's first find out how many liters each bottle will hold: 857 liters / 167 bottles = 5.1 liters per bottle Since each bottle can hold 5.1 liters, we can round down to the nearest whole number, which is 5 liters per bottle. Now, let's find out how many liters will overflow: 857 liters - (167 bottles x 5 liters per bottle) = 857 liters - 855 liters = 2 liters Therefore, 2 liters will overflow and cannot be distributed to the bottles. ### Answer: 2 liters
Expected answer: 22
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 13B:
Reasoning: The dragon lays 996 jewel eggs in rows, and each row can hold 319 eggs. To find the number of eggs left over, we need to find the remainder when dividing 996 by 319. 996 รท 319 = 3 with a remainder of 107 So, there are 107 eggs left over to be put in the last row. ### Answer: 107
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 13B:
Reasoning: To fill as many packs as possible, we need to divide the total number of bulb units by the number of bulbs in a pack. 691 bulb units / 205 bulbs per pack = <<691/205=3.43>>3.43 packs Since we can't have a fraction of a pack, we round down to the nearest whole number, which is 3 packs. Therefore, there would be 205 bulbs left unpacked after filling as many packs as possible. ### Answer: 205
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 13B:
Reasoning: To find the number of bales left for the last barn, we need to find the number of bales that can be stored in each barn. Since each barn can store up to 259 bales, we can divide the total number of bales by the number of barns to find the average number of bales that can be stored in each barn: 330 bales / 5 barns = 66 bales per barn Since we want to store the bales as evenly as possible, we can round down to the nearest whole number: 66 bales per barn = 66 bales Now, we can find the number of bales that will be left for the last barn by subtracting the total number of bales that can be stored in all the other barns from the total number of bales: 330 bales - (66 bales x 4 barns) = 330 bales - 272 bales = 58 bales Therefore, there will be 58 bales left for the last barn. ### Answer: 58
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 13B:
Reasoning: Let's call the number of windows remaining for the next day "x". We know that the team can install 137 windows per day, so they will install 137 windows on the first day. The total number of windows to be installed is 166, so we can set up the equation: 137 + x = 166 Solving for x, we get: x = 29 Therefore, there will be 29 windows remaining 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?
CodeLlama 13B:
Reasoning: Let's first find out how many tents are needed to accommodate all the campers. We can do this by dividing the total number of campers by the number of people that each tent can host: 533 campers / 445 people per tent = 1.17 tents needed Since we can't have a fraction of a tent, we'll round up to the nearest whole number: 1.17 tents needed = 2 tents needed Now, let's find out how many campers will be left over after all the tents are filled: 2 tents x 445 people per tent = 890 people 890 people - 533 campers = 357 campers will be left over. ### Answer: 357 campers will be left over.
Expected answer: 88
Correct? No
Problem: There are 999 seashells collected from a beach. They are grouped in beach-themed souvenir sets, each containing 474 shells. After grouping, how many seashells will be left without a set?
CodeLlama 13B:
Reasoning: Let's first find the number of sets that can be formed: Number of sets = Total number of shells / Number of shells in each set = 999 / 474 = 2 Now, let's find the number of shells that will be left without a set: Number of shells without a set = Total number of shells - (Number of sets x Number of shells in each set) = 999 - (2 x 474) = 999 - 948 = 51 Therefore, there will be 51 seashells left without a set. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: In continuation of the previous scenario with seashells, imagine instead that there were initially only 234 seashells collected from the beach, but the souvenir sets are still made up of 474 shells each. How many shells would be left after attempting to form these sets?
CodeLlama 13B:
Reasoning: Let's first find the number of sets that can be formed: Number of sets = Total number of shells / Number of shells in each set = 234 / 474 = 0.5 Since there is no fractional number of sets that can be formed, we round down to 0. Now, let's find the number of shells that will be left after attempting to form these sets: Number of shells left = Total number of shells - (Number of sets x Number of shells in each set) = 234 - (0 x 474) = 234 Therefore, there will be 234 seashells left after attempting to form these sets. ### Answer: 234
Expected answer: 234
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 13B:
Reasoning: The tailor can make 366/160 = <<366/160=2.33>>2.33 skirts. The number of meters of fabric left after making 2.33 skirts will be 366 - 2.33 x 160 = <<366-2.33 x 160=166>>166 meters. ### Answer: 166 meters.
Expected answer: 46
Correct? No
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 13B:
Reasoning: The toymaker made 993 dolls, and each box can hold 327 dolls. To find out how many dolls will be left, we need to find the remainder when dividing 993 by 327. 993 รท 327 = 3 There are 3 boxes that can be packed to their capacities. So, there will be 327 ร 3 = 981 dolls left once all the boxes are packed to their capacities. ### Answer: 981
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 13B:
Reasoning: The child has 964 stuffed animals and wants to divide them equally among 839 friends. To divide them evenly, each friend will receive 964/839 = <<964/839=1.12>>1.12 stuffed animals. The child will have 964 - (839 x 1.12) = <<964-(839 x 1.12)>>964 - 95.36 = 868.64 stuffed animals left over. ### Answer: 868.64
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 13B:
Reasoning: The factory produces 369 teddy bears in a day. Each box can hold 270 teddy bears. To find out how many boxes are needed to hold all the teddy bears, we can divide the total number of teddy bears by the number of teddy bears that can fit in a box: 369 teddy bears / 270 teddy bears per box = 1.35 boxes Since we can't have a fraction of a box, we round up to the nearest whole number: 1.35 boxes = 2 boxes Therefore, 2 boxes will be needed to hold all the teddy bears. To find out how many teddy bears will be left over, we can subtract the total number of teddy bears from the number of teddy bears that can fit in the boxes: 369 teddy bears - (2 boxes x 270 teddy bears per box) = 369 teddy bears - 540 teddy bears = -171 teddy bears Therefore, there will be -171 teddy bears left over. ### Answer: -171
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 13B:
Reasoning: Let's first find out how many snowmen can be built with the given number of snowballs: 804 / 184 = 4.375 Since we can't have a fraction of a snowman, we'll round down to 4. So, 4 snowmen can be built with the given number of snowballs. Now, let's find out how many snowballs are left over: 804 - (4 x 184) = 804 - 784 = 20 So, there are 20 snowballs left over. ### Answer: 20
Expected answer: 68
Correct? No
Problem: A jewelry store has 843 rings to be placed equally into 839 boxes. If each box is filled, how many rings will be left over?
CodeLlama 13B:
Reasoning: Let's first find the number of rings that can be placed in each box: 839 boxes x 1 ring per box = 839 rings Now, let's find the number of rings that will be left over: 843 rings - 839 rings = 4 rings Therefore, there will be 4 rings left over. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: The jewelry store just received an additional shipment and now has a total of 843 rings. However, this time they must be equally placed into 804 boxes. If every box is filled, how many rings will be left over now?
CodeLlama 13B:
Reasoning: Let's first find the number of rings that can be placed in each box: 804 boxes x 1 ring per box = 804 rings Now, let's find the number of rings that will be left over: 843 rings - 804 rings = 39 rings Therefore, there will be 39 rings left over. ### Answer: 39
Expected answer: 39
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 13B:
Reasoning: The company can build as many fireplaces as possible if they divide the total number of bricks by the number of bricks required for each fireplace. 819 bricks / 583 bricks per fireplace = <<819/583=1.41>>1.41 fireplaces To find the number of bricks left over, we multiply the number of fireplaces by the number of bricks required for each fireplace and subtract the total number of bricks used: 1.41 fireplaces x 583 bricks per fireplace = <<1.41 x 583=819.43>>819.43 bricks used 819 bricks - 819.43 bricks used = <<819-819.43=0.57>>0.57 bricks left over ### Answer: 0.57 bricks left over.
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 13B:
Reasoning: Let's call the number of marshmallows produced in a minute "x". Since the packaging machine can only hold 957 marshmallows at a time, we know that the number of marshmallows left un-packaged will be equal to "x" - 957. We are given that the marshmallow factory produces 998 marshmallows per minute, so we can set up the equation: x - 957 = 998 To solve for "x", we can add 957 to both sides of the equation: x = 998 + 957 x = 1955 So, there will be 1955 marshmallows left un-packaged in a minute after all the packaging machines are filled. ### Answer: 1955
Expected answer: 41
Correct? No
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 13B:
Reasoning: To create as many tributes as possible, Princess will distribute the roses in groups of 426. Since 984 is not divisible by 426, there will be some roses left undistributed. The number of groups that can be formed is 984/426 = <<984/426=2.21>>2.21. The number of roses left undistributed is 984 - (2.21 x 426) = <<984-(2.21 x 426)=984-922.21>>984 - 922.21 = 61.79. Therefore, there will be 61.79 roses left undistributed in the castle's garden. ### Answer: 61.79
Expected answer: 132
Correct? No
Problem: A song has 334 words in it. If each line in the song has 23 words, how many words would be in the incomplete line at the end of the song?
CodeLlama 13B:
Reasoning: The song has 334 words in total. If each line in the song has 23 words, then the number of lines in the song would be: 334 / 23 = <<334/23=14.75>>14 Since the song has 14 lines, the incomplete line at the end of the song would have 334 - (14 x 23) = <<334-(14*23)=334-328>>4 words. ### Answer: 4
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 13B:
Reasoning: The teacher has 928 pages of study materials to print. He can only print 336 pages at a time. To find out how many pages he will have left over, we need to divide the total number of pages by the number of pages he can print at a time. 928 / 336 = 2.73 So, the teacher will have 2.73 pages left over after filling the printer 3 times. ### Answer: 2.73 pages left over.
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 13B:
Reasoning: The scientists tag groups of 667 sharks each. 972 sharks / 667 sharks per group = 1.47 complete groups 1.47 complete groups x 667 sharks per group = 972 sharks 972 sharks - 972 sharks = 0 sharks left untagged. ### Answer: 0
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 13B:
Reasoning: Let's first find out how many boxes of cheese we can fit in the dairy shop. We can do this by dividing the total number of blocks of cheese by the number of blocks that fit in each box. 686 blocks / 349 blocks per box = 1.97 boxes Since we can't have a fraction of a box, we'll round down to 1 box. So, we can fit 1 box of cheese in the dairy shop. Now, let's find out how many blocks of cheese will be left over after all the boxes are filled. We can do this by subtracting the total number of blocks of cheese from the number of blocks that fit in the boxes. 686 blocks - 349 blocks per box = 337 blocks So, there will be 337 blocks of cheese left over after all the boxes are filled. ### Answer: 337 blocks of cheese will be left over after all the boxes are filled.
Expected answer: 337
Correct? Yes
Problem: In the previous scenario, say the dairy shop initially had 239 blocks of cheese instead of 686. Using the same boxes which can contain 349 blocks of cheese, how many blocks of cheese would be left over after all the boxes are filled?
CodeLlama 13B:
Reasoning: Let's first find out how many boxes of cheese we can fit in the dairy shop. We can do this by dividing the total number of blocks of cheese by the number of blocks that fit in each box. 239 blocks / 349 blocks per box = 0.69 boxes Since we can't have a fraction of a box, we'll round down to 0 boxes. So, we can't fit any boxes of cheese in the dairy shop. Now, let's find out how many blocks of cheese will be left over after all the boxes are filled. We can do this by subtracting the total number of blocks of cheese from the number of blocks that fit in the boxes. 239 blocks - 0 blocks per box = 239 blocks So, there will be 239 blocks of cheese left over after all the boxes are filled. ### Answer: 239 blocks of cheese will be left over after all the boxes are filled.
Expected answer: 239
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?
CodeLlama 13B:
Reasoning: The snowplow can clear up to 170 centimeters of snow at a time. If the snowplow runs continuously, it will clear 170 centimeters of snow in each pass. Since there were 513 centimeters of snowfall recorded this winter, the snowplow will make 3 passes to clear all the snow. In the first pass, the snowplow will clear 170 centimeters of snow. In the second pass, the snowplow will clear 170 centimeters of snow. In the third pass, the snowplow will clear 170 centimeters of snow. After the final pass, there will be 513 - 3 x 170 = <<513-3 x 170=113>>113 centimeters of snow left over. ### Answer: 113 centimeters of snow will be left over after the final pass.
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 13B:
Reasoning: The compass maker can install 661 / 510 = <<661/510=1.32>>1.32 full compasses. The number of needles left after installing 1.32 full compasses is 661 - 1.32 \* 510 = <<661-1.32*510=110>>110. ### Answer: 110
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 13B:
Reasoning: Let's say the factory has x shops. Total number of chairs = 380 Number of chairs per shop = 380 / x Since each shop can only hold 310 chairs, the number of chairs left at the factory will be: 380 - (310 x x) = 380 - 310x We need to find the value of x that makes the above equation true. Solving for x, we get: x = 380 / 310 x = 1.23 So, there will be 1.23 shops. Rounding up to the nearest whole number, we get: x = 2 Therefore, there will be 2 shops left at the factory. ### Answer: 2
Expected answer: 70
Correct? No
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 13B:
Reasoning: The farmer has 929 tomatoes and plans to pack them in boxes of 154 tomatoes each. To find out how many boxes he will need, we can divide the number of tomatoes by the number of tomatoes per box: 929 / 154 = 6 So, the farmer will need 6 boxes to pack all of his tomatoes. To find out how many tomatoes will be left over, we can multiply the number of boxes by the number of tomatoes per box: 6 x 154 = 924 So, there will be 924 tomatoes left over after packing them in boxes. ### Answer: 924
Expected answer: 5
Correct? No
Problem: A sporting goods store has 454 pairs of ice skates in total. The store distributes the skates evenly among 128 boxes. How many pairs of ice skates will be left over after all the boxes are filled up equally?
CodeLlama 13B:
Reasoning: The store has 454 pairs of ice skates in total. The store distributes the skates evenly among 128 boxes. Each box will contain 454/128 = <<454/128=3.57>>3.57 pairs of ice skates. There will be 3.57 - 4 = <<3.57-4=0.57>>0.57 pairs of ice skates left over after all the boxes are filled up equally. ### Answer: 0.57 pairs of ice skates will be left over.
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 13B:
Reasoning: The village consumes power in increments of 385 units per day. Since the windmill generates 506 units of power per day, there will be 506 - 385 = <<506-385=121>>121 units of power left over at the end of the day. ### Answer: 121
Expected answer: 121
Correct? Yes
Problem: Following the scenario of the windmill and the small village, let's now consider that the windmill had a great day and managed to generate 506 units of power. However, due to development demands, the daily consumption of the village has increased to 920 units. At the end of the day, with the power being consumed in complete units, how much power is left over?
CodeLlama 13B:
Reasoning: The village consumes power in increments of 385 units per day. Since the windmill generates 506 units of power per day, there will be 506 - 385 = <<506-385=121>>121 units of power left over at the end of the day. However, due to development demands, the daily consumption of the village has increased to 920 units. Since the windmill can only generate 506 units of power per day, there will be 920 - 506 = <<920-506=414>>414 units of power that the village cannot consume. Therefore, at the end of the day, with the power being consumed in complete units, there will be 121 - 414 = <<121-414=-293>>-293 units of power left over. ### Answer: -293
Expected answer: 506
Correct? No
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 13B:
Reasoning: Blast Man has 338 energy units in his power cells. Each energy blast he fires uses 16 energy units. 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 divide the total number of energy units by the number of blasts he fires. 338 energy units / 16 energy units per blast = 21 blasts So, after using equal units of energy firing blasts, Blast Man will have 338 energy units - 16 energy units per blast x 21 blasts = 338 - 368 = -30 energy units left in his power cells. ### Answer: -30 energy units
Expected answer: 2
Correct? No
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 13B:
Reasoning: The total number of students that need to be transported is 530. The capacity of each school bus is 144 students. To find out how many students will be on the last school bus, we can divide the total number of students by the capacity of each bus: 530 / 144 = 3.67 Since we can't have a fraction of a student on a bus, we round up to the nearest whole number: 3.67 rounded up = 4 Therefore, there will be 4 students on the last school bus. ### Answer: 4
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 13B:
Reasoning: The wizard has 999 spells in his book. He wants to distribute them equally among 951 apprentice wizards. Since 999 does not divide evenly by 951, there will be some apprentices who receive more spells than others. Let's say the wizard gives x spells to each apprentice. Then, the total number of spells given out will be 951x. Since the wizard has 999 spells in his book, we can set up the equation: 999 = 951x To solve for x, we can divide both sides of the equation by 951: x = 999/951 x = 10 So, each apprentice will receive 10 spells. The wizard will have 999 - 10(951) = 999 - 9510 = 499 spells left after giving out as many spells as he can to his apprentices. ### Answer: 499 spells
Expected answer: 48
Correct? No
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 13B:
Reasoning: The total number of scooters produced is 767. The number of scooters that can be carried by each truck is 369. To distribute the scooters evenly among the trucks, we need to divide the total number of scooters by the number of trucks. Number of trucks = Total number of scooters / Number of scooters that can be carried by each truck Number of trucks = 767 / 369 Number of trucks = 2 Now, let's find out how many scooters will be left after all the trucks are loaded: Number of scooters left = Total number of scooters - (Number of scooters that can be carried by each truck x Number of trucks) Number of scooters left = 767 - (369 x 2) Number of scooters left = 767 - 738 Number of scooters left = 29 Therefore, there will be 29 scooters left after all the trucks are loaded. ### 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?
CodeLlama 13B:
Reasoning: Let's first find the maximum number of raindrops that can be formed from the given number of water droplets. Number of raindrops = Number of water droplets / Number of droplets required to form a raindrop = 846 / 722 = 1.15 Since we can't have a fraction of a raindrop, we round up to the nearest whole number. Maximum number of raindrops = 1 + 1 = 2 Now, let's find the number of water droplets that would be left unconverted in the cloud after reaching the maximum number of raindrops. Number of water droplets left unconverted = Total number of water droplets - (Maximum number of raindrops x Number of droplets required to form a raindrop) = 846 - (2 x 722) = 846 - 1444 = -600 Since we can't have negative water droplets, we round up to the nearest whole number. Number of water droplets left unconverted = -600 + 1 = 599 Therefore, there would be 599 water droplets left unconverted in the cloud after reaching the maximum number of raindrops. ### Answer: 599
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 13B:
Reasoning: Since the village is divided into 146 equal sections, each section will have 265/146 = <<265/146=1.81>>1.81 unicorns. Since the last section is incomplete, it will have 265 - (146 x 1.81) = <<265-(146 x 1.81)=265-265.79>>265 - 265.79 unicorns. ### Answer: 265 - 265.79 = 0.21 unicorns.
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 13B:
Reasoning: Let's say there are x players left waiting after filling all the matches. Since only 383 players can enter a match at a time, the number of matches that can be filled is: 923 / 383 = 2.31 matches Since we can't have a fraction of a match, we round up to 3 matches. So, there will be 923 - (3 x 383) = 923 - 1231 = -308 players left waiting after filling all the matches. ### Answer: -308
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 13B:
Reasoning: The number of cannonballs per crate is 923/499 = <<923/499=1.84>>1.84. Since we need to distribute the cannonballs as evenly as possible, we will round up to the nearest whole number. Therefore, each crate will contain 2 cannonballs. Therefore, the number of cannonballs left uncrated is 923 - (499 x 2) = <<923-(499 x 2)=923-998>>923-998 = 23. ### Answer: 23
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 13B:
Reasoning: Each kite gets one string spool, so the total number of spools distributed is 518. The total number of spools in the store is 530. The number of spools left in the store after each kite gets a spool is 530 - 518 = <<530-518=12>>12 spools. ### 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 13B:
Reasoning: The farm produces 913 gallons of milk in a day. If every milk jug holds 39 gallons, then the number of jugs that can be filled is 913/39 = <<913/39=23>>23. The number of gallons that will be left over after all the jugs are filled is 913 - (23 x 39) = <<913-(23 x 39)=913-847>>847. ### Answer: 847 gallons will be 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 13B:
Reasoning: The total number of dolls received is 603. The number of rows is 369. To find the number of dolls left unarranged, we need to subtract the total number of dolls arranged from the total number of dolls received: 603 - 369 = 234 Therefore, there were 234 dolls left unarranged. ### Answer: 234
Expected answer: 234
Correct? Yes
Problem: In the previous doll problem, if the doll seller initially received a shipment of 44 new dolls instead of 603, and still arranged them in rows of 369 dolls, how many dolls would be left unarranged after filling up the rows as much as possible?
CodeLlama 13B:
Reasoning: The total number of dolls received is 44. The number of rows is 369. To find the number of dolls left unarranged, we need to subtract the total number of dolls arranged from the total number of dolls received: 44 - 369 = -325 Therefore, there would be -325 dolls left unarranged. ### Answer: -325
Expected answer: 44
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 13B:
Reasoning: The jewelry maker has 850 beads and uses 631 beads for each necklace. To find the number of beads left over, we need to subtract the number of beads used from the total number of beads. 850 - 631 = <<850-631=219>>219 beads will be left over. ### Answer: 219
Expected answer: 219
Correct? Yes
Problem: The jewelry maker decides to change the design and now each necklace uses only 150 beads instead of 631 beads. After they distribute the 850 beads as equally as possible among the new necklaces, how many beads will the jewelry maker have left over?
CodeLlama 13B:
Reasoning: The jewelry maker has 850 beads and wants to distribute them equally among the new necklaces, which use 150 beads each. To find the number of beads left over, we need to subtract the number of beads used from the total number of beads. 850 - 150 = <<850-150=700>>700 beads will be left over. ### Answer: 700
Expected answer: 100
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 13B:
Reasoning: The gardener can fill 952/380 = <<952/380=2.41>>2.41 boxes with grapes. The number of grapes left after filling as many boxes as possible is 952 - (2.41 x 380) = <<952-(2.41 x 380)=952-872.41>>872.41 grapes. ### Answer: 872.41 grapes.
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 13B:
Reasoning: Let's say the last significant place or clue is step 236. Every 44 steps, I make leads me to a significant place or clue. So, the last significant place or clue is step 236 - (236 % 44) = 236 - 22 = 214. Therefore, there will be 214 steps left after I reach the last significant place or clue. ### Answer: 214
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 13B:
Reasoning: The machine is designed to form groups of 507 bubbles each before releasing them. Since Sarah blew 932 bubbles, she must have formed 932/507 = <<932/507=1.86>>1.86 complete groups. The final, incomplete group contains 932 - 1.86 \* 507 = <<932-1.86*507=111>>111 bubbles. ### Answer: 111
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 13B:
Reasoning: Let's first find out how many swings sets are needed to accommodate all 931 kids. 931 / 34 = 27.14 Since we can't have a fraction of a swing set, we'll round up to 28 swing sets. Now, let's find out how many kids will be waiting for their turn after all the swing sets are occupied. 931 - (28 x 34) = 931 - 952 = -21 So, there will be -21 kids waiting for their turn after all the swing sets are occupied. ### Answer: -21
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 13B:
Reasoning: John can load 943 / 433 = <<943/433=2>>2 wallets with 433 dollar bills each. After loading 2 wallets, John has 943 - 2 x 433 = <<943-866=177>>177 dollar bills left. ### Answer: 177
Expected answer: 77
Correct? No
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 13B:
Reasoning: The helicopter can carry 177 passengers in one trip. Since the total number of passengers to be transported is 240, the first full trip will transport 177 passengers. Therefore, 240 - 177 = <<240-177=63>>63 passengers will be left behind after the first full trip. ### 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?
CodeLlama 13B:
Reasoning: The gardener can plant 982/555 = <<982/555=1.83>>1.83 flowerbeds. The gardener will have 982 - 1.83*555 = <<982-1.83*555=277>>277 flowers left to plant. ### Answer: 277
Expected answer: 427
Correct? No
Problem: A farmer grows 203 strawberry plants. She wants to divide her plants into groups of 5 to sell. How many plants will be remaining if she divides them equally?
CodeLlama 13B:
Reasoning: The farmer wants to divide her plants into groups of 5. To do this, she will need to divide 203 by 5, which gives us 40.6 plants per group. Since we can't have a fraction of a plant, we will round down to 40 plants per group. Therefore, there will be 203 - 40 = <<203-40=163>>163 plants remaining if she divides them equally. ### Answer: 163
Expected answer: 3
Correct? No
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 13B:
Reasoning: The gardener can create 355/16 = <<355/16=22>>22 bundles of 16 carrots each. After creating 22 bundles, the gardener will have 22 x 16 = <<22 x 16=352>>352 carrots left. ### Answer: 352
Expected answer: 3
Correct? No
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 13B:
Reasoning: The total rainfall of 612 inches is divided by 29 days, which gives us an average rainfall of 21.6 inches per day. To make the days evenly rainy, we need to find the number of inches of rain that would be left over after 29 days of even rainfall. We can do this by subtracting the total rainfall from the number of inches of rain that would be left over after 29 days of even rainfall. 21.6 x 29 = 642.4 612 - 642.4 = -29.4 Therefore, there would be -29.4 inches of rain left over after 29 days of even rainfall. ### Answer: -29.4 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 13B:
Reasoning: The number of boxes that can be loaded onto each truck is 371. Since the total number of boxes is 514, we can calculate the number of trucks needed to deliver all the boxes as follows: 514 / 371 = 1.37 Since we can't have a fraction of a truck, we round up to the nearest whole number, which is 2. So, 2 trucks will be needed to deliver all the boxes. Now, let's calculate the number of boxes that will be left over: 514 - (2 x 371) = 514 - 742 = -228 Since we can't have a negative number of boxes, we round up to the nearest whole number, which is 0. So, there will be 0 boxes left over. ### Answer: 0
Expected answer: 143
Correct? No
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 13B:
Reasoning: There were 684 sandcastles in total, and each set contained 230 sandcastles. To find out how many sandcastles were left that didn't form a complete set, we need to find the remainder when dividing 684 by 230. 684 รท 230 = 3 with a remainder of 4 So, there were 4 sandcastles that didn't form a complete set. ### Answer: 4
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 13B:
Reasoning: The production run of toy cars is 735. The packs are 348 cars each. To find the number of full packs, we can divide the production run by the number of cars in a pack: 735 / 348 = 2 Therefore, there will be 2 full packs of 348 toy cars. To find the number of toy cars that will be left over after all full packs have been filled, we can subtract the number of cars in a full pack from the production run: 735 - 348 = 387 There will be 387 toy cars left over after all full packs have been filled. ### Answer: 387
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 13B:
Reasoning: Let's call the number of animals in the last not fully occupied territory "x". We know that the total number of animals is 386, and each territory can support 95 animals. To find the number of animals in the last not fully occupied territory, we can use the following equation: 386 = 95x + (number of animals in the last not fully occupied territory) Solving for x, we get: x = 386 - 95x x = 291 So, there will be 291 animals left in the last not fully occupied territory. ### Answer: 291
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?
CodeLlama 13B:
Reasoning: Let's call the number of healthy trees before the disease spreads "x". We know that the disease will affect 646 trees, so the total number of trees after the disease spreads will be: x + 646 We also know that all the diseased trees have to be cut down evenly, so the number of diseased trees will be: 646 / 2 = 323 So, the number of healthy trees after the disease spreads will be: x + 646 - 323 = 323 Therefore, the number of healthy trees after the disease spreads is 323. ### Answer: 323
Expected answer: 155
Correct? No
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 13B:
Reasoning: The rope can be cut into 934/902 = <<934/902=10>>10 pieces. The last piece will be 934 - (902 x 9) = <<934-(902*9)=14>>14 meters long. ### Answer: 14 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 13B:
Reasoning: The number of containers that can be filled with milk is 550 liters / 561 liters per day = 0.96 containers. The number of liters of milk that are left over each day is 561 liters - (0.96 containers) x 550 liters per container = 11 liters. ### Answer: 11 liters
Expected answer: 11
Correct? Yes
Problem: If the dairy farm increased its production and started producing 729 liters of milk each day instead of 561 liters, how many liters of milk would be left over each day after filling the 550-liter containers?
CodeLlama 13B:
Reasoning: The number of containers that can be filled with milk is 550 liters / 729 liters per day = 0.75 containers. The number of liters of milk that are left over each day is 729 liters - (0.75 containers) x 550 liters per container = 179 liters. ### Answer: 179 liters
Expected answer: 179
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?
CodeLlama 13B:
Reasoning: Jon has 259 puzzle pieces and each puzzle requires 258 pieces. Therefore, Jon will have 259 - 258 = <<259-258=1>>1 piece left over once he completes a full puzzle. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In the previous problem, Jon had 259 puzzle pieces and each puzzle requires 258 pieces. Suppose instead each puzzle needs 542 pieces. How many pieces would Jon have left over after finishing as many full puzzles as possible with his 259 pieces?
CodeLlama 13B:
Reasoning: Jon has 259 puzzle pieces and each puzzle requires 542 pieces. Therefore, Jon can complete 259/542 = <<259/542=0.47>>0.47 full puzzles with his 259 pieces. Jon will have 259 - (0.47 x 542) = <<259-(0.47 x 542)=259-(241.34)>>259 - 241.34 = 18.66 pieces left over after finishing as many full puzzles as possible with his 259 pieces. ### Answer: 18.66
Expected answer: 259
Correct? No
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 13B:
Reasoning: The jewelry maker has 673 beads and plans to use exactly 49 beads for each bracelet. To find out how many bracelets she can make, we can divide the total number of beads by the number of beads used for each bracelet: 673 beads / 49 beads per bracelet = 14 bracelets So, the jewelry maker can make 14 bracelets with the exact number of beads. To find out how many beads she will have left after creating all the bracelets, we can subtract the total number of beads used for all the bracelets from the total number of beads: 673 beads - (14 bracelets x 49 beads per bracelet) = 673 beads - 708 beads = -35 beads So, the jewelry maker will have -35 beads left after creating all the bracelets. ### Answer: -35 beads
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 13B:
Reasoning: The total number of calls received by the police station is 927. The number of operators is 311. To divide the calls equally among the operators, we can use the following formula: 927 / 311 = 3 This means that each operator will handle 3 calls. The last operator will handle the remaining calls, which is: 927 - (311 x 3) = 927 - 933 = 9 So, the last operator will handle 9 calls. ### Answer: 9
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 13B:
Reasoning: Let's first find out how many full packages John can make: 764 / 589 = 1.25 So, John can make 1 full package and 1/4 of another package. The number of pieces left outside without a package is: 1/4 \* 589 = 147 ### Answer: 147
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 13B:
Reasoning: The dressmaker can make 984 / 217 = <<984/217=4.61>>4.61 dresses. The dressmaker will have 984 - (217 x 4.61) = <<984-(217*4.61)=984-(102.23)>>984 - 102.23 = 881.77 meters of fabric left. ### Answer: 881.77 meters.
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 13B:
Reasoning: Let's first find out how many campsites there are: 639 sleeping bags / 374 sleeping bags per campsite = 1.7 campsites So, there will be 1.7 campsites. Now, let's find out how many sleeping bags will be left: 639 sleeping bags - (1.7 campsites x 374 sleeping bags per campsite) = 639 sleeping bags - 651 sleeping bags = -12 sleeping bags Therefore, there will be -12 sleeping bags left. ### Answer: -12
Expected answer: 265
Correct? No
Problem: A pizza restaurant made 620 pizzas today. They package up the pizzas in boxes that hold 578 each for delivery. If the pizzas are evenly distributed into these boxes, how many pizzas will be left over that don't fit into a box?
CodeLlama 13B:
Reasoning: The number of pizzas that can fit into a box is 578. The number of pizzas made today is 620. To find out how many pizzas will be left over, we can subtract the number of pizzas that can fit into a box from the total number of pizzas made: 620 - 578 = 42 Therefore, 42 pizzas will be left over that don't fit into a box. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: The owner of the pizza restaurant decides to make 74 more pizzas tomorrow, bringing the total to 694 pizzas. If they are again distributed into boxes that hold 578 pizzas each, how many pizzas will be left out without a box this time?
CodeLlama 13B:
Reasoning: The number of pizzas that can fit into a box is 578. The number of pizzas made today is 694. To find out how many pizzas will be left over, we can subtract the number of pizzas that can fit into a box from the total number of pizzas made: 694 - 578 = 116 Therefore, 116 pizzas will be left over that don't fit into a box. ### Answer: 116
Expected answer: 116
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 13B:
Reasoning: Let's first find out how many storage units are needed to store all the robots: 820 robots / 684 robots per storage unit = 1.17 storage units Since we can't store a fraction of a storage unit, we'll round up to the nearest whole number: 1.17 storage units = 2 storage units Now, let's find out how many robots will not fit in the storage units: 820 robots - (2 storage units x 684 robots per storage unit) = 820 robots - 1,376 robots = -556 robots Since we can't have a negative number of robots, we'll round up to the nearest whole number: -556 robots = 0 robots Therefore, all 820 robots will fit in the storage units. ### Answer: 0 robots will not fit and remain outside of the storage units.
Expected answer: 136
Correct? No
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 13B:
Reasoning: Let's call the number of droplets left after each cycle "x". We know that the cloud loses water droplets at an equal rate, so the number of droplets lost in each cycle is the same. Let's call this number "y". We also know that the cloud becomes entirely dry after every 289 droplets. This means that the number of droplets left after each cycle is 289 - y. We can set up an equation to represent this: x = 289 - y We know that the initial number of droplets is 516. So, we can substitute this value into the equation: 516 = 289 - y Solving for y, we get: y = 289 - 516 y = -227 So, the number of droplets lost in each cycle is -227. Now, we can find the number of droplets left after the final cycle by substituting this value into the equation: x = 289 - (-227) x = 289 + 227 x = 516 Therefore, there will be 516 droplets left when the cloud is dry after the final cycle. ### Answer: 516
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 13B:
Reasoning: The number of boxes that can be loaded into each truck is 4. The total number of boxes to be loaded is 330. To find the number of boxes that will be left unloaded, we need to find the remainder when dividing 330 by 4. 330 รท 4 = 82 with a remainder of 2. Therefore, 2 boxes will be left unloaded. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: The transport company now needs to load a new batch of 274 boxes into trucks. Again, each truck can hold exactly 4 boxes. After filling each truck to its full capacity, how many boxes will be left unloaded this time?
CodeLlama 13B:
Reasoning: The number of boxes that can be loaded into each truck is 4. The total number of boxes to be loaded is 274. To find the number of boxes that will be left unloaded, we need to find the remainder when dividing 274 by 4. 274 รท 4 = 68 with a remainder of 2. Therefore, 2 boxes will be left unloaded this time. ### 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?
CodeLlama 13B:
Reasoning: The farmer can pack 649 potatoes into 3 crates, each containing 183 potatoes. There will be 649 - 3 x 183 = <<649-551=98>>98 potatoes left after all crates are filled to their maximum capacity. ### Answer: 98
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 13B:
Reasoning: Let's first find out how many boxes can be filled with shirts. 258 shirts / 67 shirts per box = 3.9 boxes Since we can't have a fraction of a box, we'll round up to 4 boxes. 4 boxes \* 67 shirts per box = 272 shirts 272 shirts - 258 shirts = 14 shirts So, there would be 14 shirts left outside the boxes. ### Answer: 14
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 13B:
Reasoning: 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 995 and 267 without leaving a remainder. To find the GCD, we can use the Euclidean algorithm: 995 = 267 ร 3 + 182 267 = 182 ร 1 + 85 182 = 85 ร 2 + 37 85 = 37 ร 2 + 7 37 = 7 ร 5 + 0 So, the GCD of 995 and 267 is 7. Now, we can divide 995 by 7 to find the number of gold coins each pirate will receive: 995 รท 7 = 141 So, each pirate will receive 141 gold coins. There will be 995 - (267 ร 141) = 995 - 39,995 = 9055 gold coins left over. ### Answer: 9055
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 13B:
Reasoning: There are 776 snails in total. To group them in bunches of 375 snails, we need to divide 776 by 375. 776 รท 375 = 2 So, there will be 2 groups of 375 snails in total. The final group will have 776 - 2 x 375 = 151 snails. ### Answer: 151
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 13B:
Reasoning: The number of pillows that can be packed in a full box is 198. The number of pillows produced per day is 589. To find the number of full boxes that can be packed, we can divide the number of pillows produced per day by the number of pillows that can be packed in a full box: 589 / 198 = 3 So, 3 full boxes can be packed. To find the number of pillows that will be left outside the boxes at the end of the day, we can multiply the number of pillows that can be packed in a full box by the number of full boxes that can be packed: 198 x 3 = 582 So, there will be 582 pillows left outside the boxes at the end of the day. ### Answer: 582
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 13B:
Reasoning: The jewelry maker can make 633 / 30 = <<633/30=21>>21 necklaces. After making 21 necklaces, the jewelry maker will have 633 - 21 \* 30 = <<633-21*30=123>>123 beads left. ### Answer: 123
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 13B:
Reasoning: John has 365 coins and wants to put them in 140 wallets. To find out how many coins John will have left, we need to find the remainder when dividing 365 by 140. 365 รท 140 = 2.625 So, John will have 2.625 coins left. ### Answer: 2.625 coins
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 13B:
Reasoning: The manufacturer produces 743 socks in a single production run. The socks are packed into cartons, each containing 451 socks. To fill up as many cartons as possible, the manufacturer will produce 743 / 451 = <<743/451=1.6>>1.6 cartons. 1.6 cartons x 451 socks per carton = <<1.6*451=753>>753 socks. 743 socks - 753 socks = <<743-753=-10>>-10 socks are left unpacked. ### Answer: -10 socks are left unpacked.
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 13B:
Reasoning: Let x be the number of children who can go down the slide without rest. We know that 771 children can go down the slide without rest, so x = 771. We also know that 923 children want to slide down the slide, so the total number of children who want to slide down the slide is 923. Subtracting x from 923 gives us the number of children who will be left waiting for their turn: 923 - 771 = 152 Therefore, 152 children will be left waiting for their turn. ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: After the first 771 children go down the slide, another wave of children arrives and now there are 923 children in total waiting again. If 881 children can go down the slide without any break this time, how many children will be left waiting for their turn?
CodeLlama 13B:
Reasoning: Let x be the number of children who can go down the slide without any break this time. We know that 881 children can go down the slide without any break this time, so x = 881. We also know that 923 children are waiting for their turn, including the 771 children who went down the slide earlier. Subtracting x from 923 gives us the number of children who will be left waiting for their turn: 923 - 881 = 42 Therefore, 42 children will be left waiting for their turn. ### Answer: 42
Expected answer: 42
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 13B:
Reasoning: 1. The total number of people to be rescued is 442. 2. Iron Punch can teleport a maximum of 104 people at a time. 3. To calculate the number of people left in the building for the last round of rescue, we need to find the remainder when dividing 442 by 104. Remainder = 442 % 104 = 38 So, there will be 38 people left in the building for Iron Punch's last round of rescue. ### Answer: 38
Expected answer: 26
Correct? No
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 13B:
Reasoning: The manufacturer can create as many packs as possible, which is 569/68 = <<569/68=8.25>>8 packs. The number of cards left over is 569 - 8 \* 68 = <<569-8*68=569-536=33>>33 cards. ### Answer: 33
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 13B:
Reasoning: The store owner wants to display 842 erasers in boxes, with each box containing 719 erasers. To find the number of boxes that can be filled, we can divide the total number of erasers by the number of erasers in each box: 842 / 719 = 1.15 This means that we can fill 1.15 boxes with 719 erasers each. To find the number of erasers that will be left over, we can multiply the number of boxes that can be filled by the number of erasers in each box: 1.15 x 719 = 817.75 This means that there will be 817.75 erasers left over. ### Answer: 817.75 erasers will be left over.
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 13B:
Reasoning: The farmer can pack 461/244 = <<461/244=1.87>>1.87 full boxes of carrots. The number of carrots left unpacked is 461 - 1.87*244 = <<461-1.87*244=11>>11 carrots. ### Answer: 11
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 13B:
Reasoning: The scientist will tag the penguins in groups of 293, so the final group will contain the remaining penguins that do not fit into the previous groups. The number of penguins in the final group is 309 - (293 x 2) = 309 - 586 = -277. Since the number of penguins in the final group is negative, it means that there will be no penguins in the final group. ### Answer: 0
Expected answer: 16
Correct? No
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 13B:
Reasoning: The shop has 580 slices of bread and uses 18 slices of bread for each batch. To find out how many slices they will have left, we need to subtract the number of slices used from the total number of slices. 580 - 18 = <<580-18=562>>562 slices of bread will be left. ### Answer: 562
Expected answer: 4
Correct? No
Problem: A tailor has 925 meters of fabric. The tailor uses 529 meters of fabric to make each dress. If the tailor uses the fabric evenly for each dress, how many meters of fabric will be left over after completing the dresses?
CodeLlama 13B:
Reasoning: The tailor uses 529 meters of fabric to make each dress. Therefore, the total amount of fabric used for all the dresses is 529 x 2 = 1058 meters. The tailor has 925 meters of fabric. Therefore, the amount of fabric left over after completing the dresses is 925 - 1058 = 87 meters. ### Answer: 87 meters
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 13B:
Reasoning: Let's call the number of tourists wanting to explore the castle "x". We know that each tour group can accommodate up to 530 people, so the total number of people in all the tour groups is 530x. Since there are 976 tourists wanting to explore the castle, we can set up the equation: 530x = 976 Solving for x, we get: x = 976 / 530 x = 1.9 So, there will be 1.9 tourists left for the last group of the day. ### Answer: 1.9
Expected answer: 446
Correct? No