GPT-3.5 Turbo on 4.NBT.B.6
Common Core Standard 4.NBT.B.6
This standard covers the following:
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: There are 535 fish in a large tank and a shark eats 461 of them in one sitting. If the shark continues this pattern and only eats when there are 461 or more fish to consume, how many fish will be leftover after its dinner?
GPT-3.5 Turbo:
Reasoning: After the shark eats 461 fish, there will be 535 - 461 = <<535-461=74>>74 fish leftover in the tank. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: A baker baked a total of 928 cookies. He decided to distribute equal amounts of cookies to 186 orphanages. After giving out as many entire sets of cookies as possible to each orphanage, how many cookies does the baker have left?
GPT-3.5 Turbo:
Reasoning: The baker distributed 928 cookies / 186 orphanages = 5 cookies per orphanage. After distributing cookies to each orphanage, the baker has 928 cookies - 5 cookies/orphanage * 186 orphanages = 928 cookies - 930 cookies = -2 cookies left. The baker has -2 cookies left, which means he doesn't have any 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?
GPT-3.5 Turbo:
Reasoning: To find the number of leftover slices, we need to divide the total number of slices by the number of slices in each box and find the remainder. 975 slices ÷ 196 slices/box = 4 boxes with 191 slices and 1 leftover slice. Therefore, there will be 1 leftover slice after all the pizza boxes are full. ### Answer: 1
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?
GPT-3.5 Turbo:
Reasoning: The wizard summons several creatures, so the total number of stones used is 193 * number of creatures summoned. The number of creatures summoned is 932 / 193 = 4.82, but since the number of creatures must be a whole number, the wizard can summon 4 creatures. The total stones used is 193 * 4 = 772 stones. The stones left will be 932 - 772 = 160 stones. ### Answer: 160.
Expected answer: 160
Correct? Yes
Problem: After summoning several creatures, the wizard found an ancient tome that said each creature actually needed 544 magical stones, not 193. If he had followed this and summoned the creatures based on the 544-stone requirement, how many stones would the wizard have left?
GPT-3.5 Turbo:
Reasoning: The wizard originally summoned 932 / 544 = 1.71 creatures, but since the number of creatures must be a whole number, the wizard can summon only 1 creature. The total stones used would be 544 * 1 = 544 stones. The stones left would be 932 - 544 = 388 stones. ### Answer: 388.
Expected answer: 388
Correct? Yes
Problem: A builder has a job to install 660 square foot tiles in a house. Each tile can cover 335 square feet. After installing tiles evenly across the available space, how many square feet will the last tile need to cover?
GPT-3.5 Turbo:
Reasoning: The builder needs to install 660/335 = <<660/335=2>>2 tiles to cover the 660 square feet. Since the tiles are installed evenly, the last tile will need to cover 660 - 335*1 = <<660-335*1=325>>325 square feet. ### Answer: 325 square feet.
Expected answer: 325
Correct? Yes
Problem: A builder realizes that he made a mistake and the tiles can actually cover 337 square feet instead of 335 square feet. Given the same total area of 660 square feet, how many square feet will the last tile now need to cover?
GPT-3.5 Turbo:
Reasoning: With each tile now covering 337 square feet, the builder needs to install 660/337 = <<660/337=1.958>>1.958 tiles. Since the tiles cannot be divided, the last tile will need to cover 660 - 337*1 = <<660-337*1=323>>323 square feet. ### Answer: 323 square feet.
Expected answer: 323
Correct? Yes
Problem: A juice company produced 473 gallons of juice. If the company bottles the juice in 22-gallon containers, how many gallons of juice will be left after filling up all the containers?
GPT-3.5 Turbo:
Reasoning: The number of 22-gallon containers needed to hold 473 gallons of juice is 473/22 = 21.5, which means the company will need 22 containers to hold all the juice. After filling up all the containers, there will be 473 - 22*22 = 473 - 484 = -11 gallons of juice left. ### Answer: -11
Expected answer: 11
Correct? Yes
Problem: A juice company initially thought they produced 473 gallons of juice, but they realized they actually produced 599 gallons. They used the same 22-gallon containers as before. After filling up all the containers, how many gallons of juice do they now have left over?
GPT-3.5 Turbo:
Reasoning: The number of 22-gallon containers needed to hold 599 gallons of juice is 599/22 = 27.227, which means the company will need 28 containers to hold all the juice. After filling up all the containers, there will be 599 - 28*22 = 599 - 616 = -17 gallons of juice left. ### Answer: -17
Expected answer: 5
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?
GPT-3.5 Turbo:
Reasoning: The number of toy cars left unpacked is the remainder when 979 is divided by 108. 979 divided by 108 is 9 with a remainder of 67. Therefore, there will be 67 toy cars left unpacked at the end of the day. ### Answer: 67
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?
GPT-3.5 Turbo:
Reasoning: The number of crayons left out of the boxes after the operation is 994 - 425 = <<994-425=569>>569 crayons. ### Answer: 569
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?
GPT-3.5 Turbo:
Reasoning: If the reserve has 740 tigers and each zone can hold up to 696 tigers, then the number of tigers left in the last zone is 740 % 696 = 44. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: Consider the wildlife reserve again. This time, however, the zones have been expanded and each can now accommodate up to 908 tigers. If the 740 tigers are distributed evenly among the expanded zones, how many tigers will be left in the last zone?
GPT-3.5 Turbo:
Reasoning: If the reserve has 740 tigers and each zone can hold up to 908 tigers, then the number of tigers left in the last zone is 740 % 908 = 740. ### Answer: 740
Expected answer: 740
Correct? Yes
Problem: A hat shop makes 830 hats every week. In order to make special edition boxes, the shop plans to put 421 hats in each box. If all the hats are evenly distributed among the boxes, how many hats will be left over?
GPT-3.5 Turbo:
Reasoning: To find the number of hats left over, we need to find the remainder when 830 hats are divided by 421 hats. 830 hats divided by 421 hats gives a quotient of 1 and a remainder of 409 hats. 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?
GPT-3.5 Turbo:
Reasoning: After a month, the number of fish left in the lake will be 871 - 575 = <<871-575=296>>296 fish. ### 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?
GPT-3.5 Turbo:
Reasoning: To find out how many beach balls will not fit into the bags, we need to divide the total number of beach balls by the number of beach balls each bag can fit: 891 / 119 = 7 with a remainder of 70. Therefore, 70 beach balls will not fit into the bags and will be left over. ### Answer: 70
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?
GPT-3.5 Turbo:
Reasoning: If the stars are grouped into clusters of 446 stars each, then the number of clusters formed is 544 / 446 = 1 remainder 98. Therefore, 98 stars 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?
GPT-3.5 Turbo:
Reasoning: If there are 278 stars in the constellation and they are grouped into clusters of 446 stars each, there will be 0 full clusters formed since 278 < 446. Therefore, all 278 stars will remain ungrouped. ### Answer: 278
Expected answer: 278
Correct? Yes
Problem: A manufacturer produces 805 socks in one shift. They are packaged into sets of 132 each. After the packaging, how many socks will remain unpackaged?
GPT-3.5 Turbo:
Reasoning: The number of socks in one shift is 805. Each set contains 132 socks. To find the number of socks remaining unpackaged, we need to find the remainder when 805 is divided by 132. 805 divided by 132 is 6 with a remainder of 37. Therefore, 37 socks will remain unpackaged. ### Answer: 37
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?
GPT-3.5 Turbo:
Reasoning: The astronomy club will need 759/228 = 3.32... nights to accommodate all members. Since they cannot have a fraction of a night, they will need 4 nights to accommodate all members. On the final night, 759 - 3*228 = 75 members will view the event. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: A similar astronomy club from a neighboring town also wants to take part in viewing this rare celestial event. They have 593 members interested in participating. If they follow the same pattern of distributing the viewing nights evenly amongst all members, with only 228 people viewing the event each night, how many people from this club will view the event on the final night?
GPT-3.5 Turbo:
Reasoning: The neighboring astronomy club with 593 members will need 593/228 = 2.60... nights to accommodate all members. Since they cannot have a fraction of a night, they will need 3 nights to accommodate all members. On the final night, 593 - 2*228 = 137 members will view the event. ### Answer: 137
Expected answer: 137
Correct? Yes
Problem: A postman has to deliver 891 letters. Each mailbox can only hold 616 letters. If he puts equal numbers of letters in each mailbox, how many letters will remain in the last mailbox?
GPT-3.5 Turbo:
Reasoning: The number of letters that will remain in the last mailbox is the remainder when 891 is divided by 616. 891 divided by 616 is 1 with a remainder of 275. Therefore, the postman will have 275 letters remaining in the last mailbox. ### Answer: 275
Expected answer: 275
Correct? Yes
Problem: In the previous scenario, assuming the postman had to originally deliver 524 letters instead of 891, and each mailbox can still only accommodate 616 letters. How many letters will remain in the last mailbox now?
GPT-3.5 Turbo:
Reasoning: The number of letters that will remain in the last mailbox is the remainder when 524 is divided by 616. 524 divided by 616 is 0 with a remainder of 524. Therefore, the postman will have 524 letters remaining in the last mailbox. ### Answer: 524
Expected answer: 524
Correct? Yes
Problem: A total of 941 flies are jumping around the pond. Every time a frog jumps, it eats exactly 258 flies. After a series of jumps where each jump the frog eats the same number of flies, how many flies are left?
GPT-3.5 Turbo:
Reasoning: If each jump the frog eats 258 flies, then the total number of flies eaten after a series of jumps is a multiple of 258. To find the number of flies left, we need to find the remainder when 941 is divided by 258. 941 divided by 258 is 3 with a remainder of 167. Therefore, there are 167 flies left after a series of jumps. ### Answer: 167
Expected answer: 167
Correct? Yes
Problem: Previously, a frog ate flies from a total of 941 flies with 258 flies eaten in each jump. Now, consider that instead of 941 flies there initially were 146 flies hopping around the pond. Given that the frog still eats 258 flies in each jump, how many flies would be left after a series of jumps?
GPT-3.5 Turbo:
Reasoning: If the frog eats 258 flies in each jump, then the total number of flies eaten after a series of jumps is a multiple of 258. To find the number of flies left, we need to find the remainder when 146 is divided by 258. 146 divided by 258 is 0 with a remainder of 146. Therefore, there are 146 flies left after a series of jumps. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: A large park has a capacity of 991 spaces for cars to park. If all the spaces are evenly distributed between 66 rows, how many spare spaces will be there in the last row after max spaces are filled?
GPT-3.5 Turbo:
Reasoning: To find the number of spaces in each row, we divide the total number of spaces by the number of rows: 991 spaces / 66 rows = 15 spaces per row. Since 15 spaces fit in each row, the last row will have 991 % 66 = 13 spare spaces. ### Answer: 13
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?
GPT-3.5 Turbo:
Reasoning: Each water bottle will receive 193/167 = <<193/167=1.155>>1.155 liters of water. The amount of water that overflows and can't be distributed is 193 - 167*1 = <<193-167*1=26>>26 liters. ### Answer: 26.
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?
GPT-3.5 Turbo:
Reasoning: Each water bottle will receive 857/167 ≈ 5.13 liters of water. The amount of water that overflows and can't be distributed is 857 - 167*5 ≈ 2 liters. ### Answer: 2.
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?
GPT-3.5 Turbo:
Reasoning: To find the number of eggs left over to be put in the last row, we need to find the remainder when 996 is divided by 319. 996 divided by 319 is 3 with a remainder of 39. Therefore, there would be 39 eggs left over to be put in the last row. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: Now, consider if the dragon had only laid 8 jewel eggs and continued to distribute them among rows that could hold 319 eggs. How many eggs would be left over to be put in the last row?
GPT-3.5 Turbo:
Reasoning: When the dragon has only 8 eggs, distributing them among rows that can hold 319 eggs would result in all eggs being placed in the first row, and no eggs would be left over for the last row. ### Answer: 0
Expected answer: 8
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?
GPT-3.5 Turbo:
Reasoning: To find out how many bulbs would be left unpacked, we need to find the remainder when 691 bulbs are divided by 205 bulbs in a pack. 691 divided by 205 is 3 with a remainder of 76. Therefore, there would be 76 bulbs left unpacked after filling as many packs as possible. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: If the lamp manufacturer produced 739 bulb units instead of 691, how many bulbs would be left unpacked after filling as many packs as possible with 205 bulbs each?
GPT-3.5 Turbo:
Reasoning: If the lamp manufacturer produced 739 bulb units, we need to find the remainder when 739 bulbs are divided by 205 bulbs in a pack. 739 divided by 205 is 3 with a remainder of 124. Therefore, there would be 124 bulbs left unpacked after filling as many packs as possible. ### Answer: 124
Expected answer: 124
Correct? Yes
Problem: On a farm, there are 330 bales of hay to be stored evenly in barns. Each barn can store up to 259 bales. After filling up the barns as evenly as possible, how many bales of hay will be left for the last barn?
GPT-3.5 Turbo:
Reasoning: To find out how many bales of hay will be left for the last barn, we need to divide the total number of bales by the capacity of each barn and find the remainder. 330 bales ÷ 259 bales/barn = 1 barn with 71 bales left. ### Answer: 71.
Expected answer: 71
Correct? Yes
Problem: A construction company is installing 166 windows on a building. They have determined that one installation team can install 137 windows per day. If all windows are equally distributed amongst teams each day, how many windows will remain for the team to install on the next day?
GPT-3.5 Turbo:
Reasoning: If one team can install 137 windows per day, then the total number of windows installed in one day by all teams is 137 * number of teams. The number of teams needed is 166 / 137 = 1.21168, which means they need 2 teams. The total number of windows installed by 2 teams in one day is 137 * 2 = 274. Therefore, 166 - 274 = <<166-274=92>>92 windows will remain for the team to install on the next day. ### Answer: 92
Expected answer: 29
Correct? No
Problem: There are 533 campers coming for a camping event at a park. Each tent can host 445 people. If the campers are evenly distributed among the tents, how many campers will be left over after all the tents are filled?
GPT-3.5 Turbo:
Reasoning: 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 campers each tent can host. Number of campers left over = 533 % 445 = 88. ### Answer: 88.
Expected answer: 88
Correct? Yes
Problem: Now suppose that the park upgraded their tents and each tent can now host 886 people. With the same group of 533 campers, how many campers will be left over after all the tents are filled?
GPT-3.5 Turbo:
Reasoning: With the upgraded tents hosting 886 people each, the number of campers left over after all the tents are filled can be calculated by finding the remainder when dividing the total number of campers by the number of campers each tent can now host. Number of campers left over = 533 % 886 = 533. ### Answer: 533.
Expected answer: 533
Correct? Yes
Problem: There are 999 seashells collected from a beach. They are grouped in beach-themed souvenir sets, each containing 474 shells. After grouping, how many seashells will be left without a set?
GPT-3.5 Turbo:
Reasoning: To find the number of seashells left without a set, we need to find the remainder when 999 seashells are divided by 474 shells per set. 999 divided by 474 equals 2 with a remainder of 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?
GPT-3.5 Turbo:
Reasoning: Since there are only 234 seashells collected, we cannot form any complete sets of 474 shells. Therefore, all 234 seashells will be left without a set. ### 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?
GPT-3.5 Turbo:
Reasoning: The number of skirts that can be made is 366/160 = <<366/160=2.2875>>2.2875 skirts. Since the number of skirts must be a whole number, the tailor can make 2 skirts. The amount of fabric left after making 2 skirts is 366 - 2*160 = <<366-2*160=46>>46 meters. ### Answer: 46.
Expected answer: 46
Correct? Yes
Problem: A tailor realized that she has made a mistake. Actually, she has only 21 meters of fabric at her disposal, not 366. If each skirt requires 160 meters of fabric, how many meters of fabric will be left after making as many skirts as possible?
GPT-3.5 Turbo:
Reasoning: The number of skirts that can be made is 21/160 = 0.13125 skirts. Since the number of skirts must be a whole number, the tailor can make 0 skirts. The amount of fabric left after making 0 skirts is 21 - 0*160 = 21 meters. ### Answer: 21.
Expected answer: 21
Correct? Yes
Problem: A toymaker made 993 dolls to be packed in boxes for shipment. Each box can hold 327 dolls. How many dolls will she have left once all the boxes are packed to their capacities?
GPT-3.5 Turbo:
Reasoning: The number of dolls left after packing all the boxes is the remainder when dividing the total number of dolls by the number of dolls each box can hold. This is calculated as 993 mod 327 = 12. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following up on the previous problem, what if, instead of each box holding 327 dolls, each box can now hold 115 dolls? After packing each box to capacity, how many dolls will the toymaker have left?
GPT-3.5 Turbo:
Reasoning: The number of dolls left after packing all the boxes is the remainder when dividing the total number of dolls by the number of dolls each box can hold. This is calculated as 993 mod 115 = 38. ### Answer: 38
Expected answer: 73
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?
GPT-3.5 Turbo:
Reasoning: To find the number of stuffed animals left over, we need to find the remainder when 964 is divided by 839. 964 divided by 839 is 1 with a remainder of 125. Therefore, the child will have 125 stuffed animals left over. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: The child from the previous problem has gotten even more stuffed animals and now has a total of 964 stuffed animals. If they still want to divide them equally among their 892 friends, how many stuffed animals will be left over after distributing them?
GPT-3.5 Turbo:
Reasoning: The child has 964 stuffed animals and wants to divide them equally among 892 friends. We need to find the remainder when 964 is divided by 892. 964 divided by 892 is 1 with a remainder of 72. Therefore, the child will have 72 stuffed animals left over. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A toy factory produces 369 teddy bears in a day. The bears are packaged in boxes and each box can hold 270 teddy bears. How many teddy bears will be left if all the teddy bears are evenly packed in the boxes?
GPT-3.5 Turbo:
Reasoning: To find out how many teddy bears will be left, we need to divide the total number of teddy bears by the number of teddy bears that can fit in each box and find the remainder. Number of teddy bears left = 369 % 270 = 99. ### Answer: 99.
Expected answer: 99
Correct? Yes
Problem: Earlier, the toy factory produced 369 teddy bears in a day and they were packaged in boxes with each box holding 270 teddy bears. Now, suppose that the toy factory increased its production and now makes 813 teddy bears in a day while still packing them in boxes that can hold 270 teddy bears. How many teddy bears will be left now if all the teddy bears are evenly packed in the boxes?
GPT-3.5 Turbo:
Reasoning: The total number of teddy bears left can be found by dividing the total number of teddy bears produced in a day by the number of teddy bears that can fit in each box and finding the remainder. Number of teddy bears left = 813 % 270 = 3. ### Answer: 3.
Expected answer: 3
Correct? Yes
Problem: A village has a yearly tradition of building snowmen. This year, the villagers make 804 snowballs to build their snowmen. Each snowman needs exactly 184 snowballs. After all snowmen are built, how many snowballs are left leftover?
GPT-3.5 Turbo:
Reasoning: The number of snowmen built is 804/184 = 4.3695, which means they can build 4 snowmen. The number of snowballs left over is 804 - 4*184 = 804 - 736 = <<804-736=68>>68 snowballs. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: In the same village, another year, there were only 444 snowballs made to build the snowmen. If each snowman still requires exactly 184 snowballs, how many snowballs would be left over after as many complete snowmen as possible are built?
GPT-3.5 Turbo:
Reasoning: The number of snowmen that can be built is 444/184 = 2.413, which means they can build 2 snowmen. The number of snowballs left over is 444 - 2*184 = 444 - 368 = <<444-368=76>>76 snowballs. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: A jewelry store has 843 rings to be placed equally into 839 boxes. If each box is filled, how many rings will be left over?
GPT-3.5 Turbo:
Reasoning: To find the number of rings left over, we need to find the remainder when 843 rings are divided by 839 boxes. Dividing 843 rings by 839 boxes, we get 843 rings = 839 boxes * 1 box + 4 rings left over. 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?
GPT-3.5 Turbo:
Reasoning: To find the number of rings left over, we need to find the remainder when 843 rings are divided by 804 boxes. Dividing 843 rings by 804 boxes, we get 843 rings = 804 boxes * 1 box + 39 rings left over. 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?
GPT-3.5 Turbo:
Reasoning: The number of fireplaces they can build is 819 / 583 = 1 with a remainder of 236 bricks left over. Therefore, they will have 236 bricks left over. ### Answer: 236
Expected answer: 236
Correct? Yes
Problem: The company received a new delivery of bricks, now they have 486 bricks in total. If they continue making fireplaces, each requiring 583 bricks as before, how many bricks will they have left after building as many full fireplaces as they can?
GPT-3.5 Turbo:
Reasoning: With the new delivery, the company now has a total of 486 bricks. Each fireplace requires 583 bricks, so they can build 486 / 583 = 0 full fireplaces. Therefore, they will have 486 bricks left over after building as many full fireplaces as they can. ### Answer: 486
Expected answer: 486
Correct? Yes
Problem: A marshmallow factory produces 998 marshmallows per minute. However, the packaging machine can only hold 957 marshmallows at a time. What will be the number of marshmallows left un-packaged in a minute after all the packaging machines are filled?
GPT-3.5 Turbo:
Reasoning: The number of marshmallows left un-packaged in a minute after all the packaging machines are filled is 998 - 957 = <<998-957=41>>41 marshmallows. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: The marshmallow factory upgraded its packaging machine and now it can hold 804 marshmallows at a time instead of 957. If the factory continues to produce 998 marshmallows per minute, what will be the number of marshmallows left un-packaged in a minute after all the packaging machines are filled with the new capacity?
GPT-3.5 Turbo:
Reasoning: The number of marshmallows left un-packaged in a minute after all the packaging machines are filled with the new capacity is 998 - 804 = <<998-804=194>>194 marshmallows. ### Answer: 194
Expected answer: 194
Correct? Yes
Problem: There are 984 roses in the castle's garden. Princess likes to place 426 roses in every tribute for her loyal subjects. If she distributes roses evenly to create as many tributes as possible, how many roses will be left undistributed in the castle's garden?
GPT-3.5 Turbo:
Reasoning: To find out how many roses will be left undistributed, we need to find the remainder when 984 roses are divided by 426 roses. 984 divided by 426 is 2 with a remainder of 132. Therefore, there will be 132 roses left undistributed in the castle's garden. ### Answer: 132
Expected answer: 132
Correct? Yes
Problem: In the same castle's garden, there were originally 984 roses, but the princess has decided to use only 730 roses for each tribute to her loyal subjects instead of the previous 426. Now, if she distributes roses evenly to create as many tributes as possible, how many roses will be left undistributed in the castle's garden?
GPT-3.5 Turbo:
Reasoning: To find out how many roses will be left undistributed, we need to find the remainder when 984 roses are divided by 730 roses. 984 divided by 730 is 1 with a remainder of 254. Therefore, there will be 254 roses left undistributed in the castle's garden. ### Answer: 254
Expected answer: 254
Correct? Yes
Problem: A song has 334 words in it. If each line in the song has 23 words, how many words would be in the incomplete line at the end of the song?
GPT-3.5 Turbo:
Reasoning: Since each line has 23 words and there are 334 words in total, there are 334/23 = 14 complete lines in the song. The incomplete line at the end of the song would have 334 - 23*14 = 334 - 322 = <<334-322=12>>12 words. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Suppose the song writer decided to change the structure of the song and made each line contain 314 words instead. Now with the same total of 334 words, how many words would be left in the incomplete line at the end of the song?
GPT-3.5 Turbo:
Reasoning: With each line containing 314 words, there would be 334/314 = 1 complete line in the song. The incomplete line at the end of the song would have 334 - 314*1 = <<334-314*1=20>>20 words. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: A teacher has 928 pages of study materials that he wants to print for his students. His printer can only print 336 pages in one go. After filling the printer a number of times, how many pages will he have left over to print?
GPT-3.5 Turbo:
Reasoning: The teacher will need to print 928 - 336 = <<928-336=592>>592 pages after filling the printer once. ### Answer: 592
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?
GPT-3.5 Turbo:
Reasoning: The number of sharks that can be tagged in complete groups is 972 - (667 * (972 // 667)) = 972 - (667 * 1) = 972 - 667 = 305. ### Answer: 305.
Expected answer: 305
Correct? Yes
Problem: Following up on the previous question, the scientists later spotted a new group of 758 sharks in a different area. Again, they were trying to tag the sharks in groups of 667. How many sharks were left untagged after all complete groups have been tagged in this new area?
GPT-3.5 Turbo:
Reasoning: The number of sharks that can be tagged in complete groups is 758 - (667 * (758 // 667)) = 758 - (667 * 1) = 758 - 667 = 91. ### Answer: 91.
Expected answer: 91
Correct? Yes
Problem: There are 686 blocks of cheese in the dairy shop. Each box can contain 349 blocks of cheese. If all the blocks of cheese are evenly distributed in the boxes, how many blocks of cheese would be left over after all the boxes are filled?
GPT-3.5 Turbo:
Reasoning: To find the number of blocks of cheese left over after all the boxes are filled, we need to find the remainder when 686 blocks of cheese are divided by 349 blocks per box. 686 blocks of cheese ÷ 349 blocks per box = 1 box with 337 blocks of cheese remaining. Therefore, there would be 686 - 349 = <<686-349=337>>337 blocks of cheese left over after all the boxes are filled. ### Answer: 337.
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?
GPT-3.5 Turbo:
Reasoning: If the dairy shop initially had 239 blocks of cheese, we need to find the remainder when 239 blocks of cheese are divided by 349 blocks per box. 239 blocks of cheese ÷ 349 blocks per box = 0 boxes with 239 blocks of cheese remaining. Therefore, there would be 239 blocks of cheese left over after all the boxes are filled. ### Answer: 239.
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?
GPT-3.5 Turbo:
Reasoning: To find out how many centimeters of snow will be left over after the final pass, we need to find the remainder when 513 centimeters of snowfall is divided by 170 centimeters cleared by the snowplow each time. 513 ÷ 170 = 3 with a remainder of 3. Therefore, there will be 3 centimeters of snow left over after the final pass. ### Answer: 3.
Expected answer: 3
Correct? Yes
Problem: Suppose that instead of 513 centimeters, there were 460 centimeters of snowfall this winter. If the same snowplow, which can clear up to 170 centimeters of snow at a time, runs continuously, how many centimeters of snow would then be left over after the final pass?
GPT-3.5 Turbo:
Reasoning: To find out how many centimeters of snow will be left over after the final pass with 460 centimeters of snowfall, we need to find the remainder when 460 centimeters of snowfall is divided by 170 centimeters cleared by the snowplow each time. 460 ÷ 170 = 2 with a remainder of 120. Therefore, there will be 120 centimeters of snow left over after the final pass. ### Answer: 120.
Expected answer: 120
Correct? Yes
Problem: A compass maker has 661 needles to install in compasses. Each compass uses 510 needles. After installing as many full compasses as he can, how many needles will the compass maker have left?
GPT-3.5 Turbo:
Reasoning: The compass maker can install 661/510 = <<661/510=1.294>>1 full compass. He will have 661 - 1*510 = <<661-1*510=151>>151 needles left. ### Answer: 151
Expected answer: 151
Correct? Yes
Problem: A furniture factory has manufactured 380 chairs to distribute to its retail shops. Each shop can only hold 310 chairs in its storage. If the factory evenly distributes all the chairs to the shops, how many chairs will be left at the factory?
GPT-3.5 Turbo:
Reasoning: If each shop can hold 310 chairs and there are 380 chairs in total, then the factory will distribute 380 / 310 = 1 remainder 70 chairs to each shop. Therefore, there will be 380 - (1 * 310) = <<380-(1*310)=70>>70 chairs left at the factory. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: Now suppose the factory decides to distribute these chairs amongst its smaller distributors, each of which can only hold 143 chairs. Now, how many chairs will be left at the factory after distributing them evenly?
GPT-3.5 Turbo:
Reasoning: Since each smaller distributor can only hold 143 chairs, the factory will distribute 70 / 143 = 0 remainder 70 chairs to each smaller distributor. Therefore, there will be 70 chairs left at the factory after distributing them evenly. ### Answer: 70
Expected answer: 94
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?
GPT-3.5 Turbo:
Reasoning: To find out how many tomatoes will be left over, we need to find the remainder when 929 tomatoes are divided by 154 (the number of tomatoes in each box). 929 divided by 154 is 6 with a remainder of 65. Therefore, there will be 65 tomatoes left over. ### Answer: 65
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?
GPT-3.5 Turbo:
Reasoning: Each box will contain 454/128 = <<454/128=3.546875>>3.546875 pairs of ice skates. Since we cannot have a fraction of a pair of ice skates, there will be 0 pairs left over after all the boxes are filled up equally. ### Answer: 0
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?
GPT-3.5 Turbo:
Reasoning: The village consumes 385 units of power per day. Therefore, the amount of power left over is 506 - 385 = <<506-385=121>>121 units. ### 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?
GPT-3.5 Turbo:
Reasoning: The village consumes 920 units of power per day. The windmill generates 506 units of power per day. Therefore, the amount of power left over is 506 - 920 = -414 units. Since the village consumes more power than the windmill generates, there is a deficit of 414 units of power. ### Answer: -414.
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?
GPT-3.5 Turbo:
Reasoning: If each energy blast uses 16 energy units and Blast Man fires x blasts, then the total energy used is 16x. After firing x blasts, Blast Man will have 338 - 16x energy units left in his power cells. ### Answer: 338 - 16x.
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?
GPT-3.5 Turbo:
Reasoning: To find out how many students will be on the last school bus, we need to divide the total number of students by the number of students each bus can carry and find the remainder. 530 students ÷ 144 students/bus = 3 buses with 144 students each and 1 bus with the remaining students. The number of students on the last bus will be 530 students - 3 buses * 144 students/bus = 530 - 3 * 144 = 530 - 432 = <<530-3*144=530-432=98>>98 students. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: A wizard has 999 spells in his book. He tries to distribute them equally among 951 apprentice wizards but they don't divide evenly. How many spells will the wizard have left after giving out as many as he can to his apprentices?
GPT-3.5 Turbo:
Reasoning: The wizard can distribute 999 spells among 951 apprentices with 999 % 951 = 48 spells left. ### Answer: 48.
Expected answer: 48
Correct? Yes
Problem: If the wizard had instead 999 spells and he tries to distribute them equally among 801 apprentice wizards, how many spells will the wizard have left after giving out as many as he can to his apprentices?
GPT-3.5 Turbo:
Reasoning: The wizard can distribute 999 spells among 801 apprentices with 999 % 801 = 198 spells left. ### Answer: 198.
Expected answer: 198
Correct? Yes
Problem: A scooter manufacturing company has produced 767 scooters. Each delivery truck they use can carry 369 scooters. If they distribute the scooters evenly among the trucks, how many scooters will be left after all the trucks are loaded?
GPT-3.5 Turbo:
Reasoning: The number of scooters left after distributing evenly among the trucks is the remainder when dividing the total number of scooters by the number of scooters each truck can carry. The remainder is 767 % 369 = <<767%369=29>>29 scooters. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: There are 846 water droplets in a cloud. Each raindrop needs 722 droplets to form. If all droplets are used to form raindrops, how many droplets would be left unconverted in the cloud after reaching the maximum number of rain drops?
GPT-3.5 Turbo:
Reasoning: If each raindrop needs 722 droplets to form, then the total number of raindrops that can be formed is 846 / 722 = 1 with a remainder of 124 droplets. Therefore, there would be 124 droplets left unconverted in the cloud after reaching the maximum number of raindrops. ### Answer: 124
Expected answer: 124
Correct? Yes
Problem: There was a slight miscalculation in the cloud's droplet count. There are actually 846 water droplets in the cloud, but each raindrop needs 442 droplets to form instead of 722. With this updated droplet count per raindrop, how many droplets would be left unconverted in the cloud after reaching the maximum number of rain drops?
GPT-3.5 Turbo:
Reasoning: If each raindrop needs 442 droplets to form, then the total number of raindrops that can be formed is 846 / 442 = 1 with a remainder of 404 droplets. Therefore, there would be 404 droplets left unconverted in the cloud after reaching the maximum number of raindrops. ### Answer: 404
Expected answer: 404
Correct? Yes
Problem: Unicorn Village, a magical place where 265 unicorns live, is divided into 146 equal sections where these magical creatures reside. If each section is occupied by an equal number of unicorns, how many unicorns will live in the last incomplete section?
GPT-3.5 Turbo:
Reasoning: To find the number of unicorns in the last incomplete section, we need to find the remainder when 265 unicorns are divided into 146 equal sections. 265 divided by 146 is 1 with a remainder of 119. Therefore, there will be 119 unicorns in the last incomplete section. ### Answer: 119
Expected answer: 119
Correct? Yes
Problem: Considering the same scenario from the previous problem, let's say instead of 146 sections, Unicorn Village is divided into 781 equal sections. How many unicorns will live in the last incomplete section now?
GPT-3.5 Turbo:
Reasoning: To find the number of unicorns in the last incomplete section when Unicorn Village is divided into 781 equal sections, we need to find the remainder when 265 unicorns are divided into 781 equal sections. 265 divided by 781 is 0 with a remainder of 265. Therefore, there will be 265 unicorns in the last incomplete section. ### Answer: 265
Expected answer: 265
Correct? Yes
Problem: In a game, there are 923 players waiting to enter a match. Only 383 players can enter a match at a time. If players enter matches evenly, how many players will be left waiting after filling all the matches?
GPT-3.5 Turbo:
Reasoning: To find out how many players will be left waiting after filling all the matches, we need to find the remainder when 923 players are divided by 383 players. 923 divided by 383 is 2 with a remainder of 157. Therefore, 157 players will be left waiting after filling all the matches. ### Answer: 157
Expected answer: 157
Correct? Yes
Problem: In the same game, a new day dawns with 456 players waiting to join a match. The match capacity remains the same, permitting 383 players at a time. If players are allocated evenly across the matches, how many players will be left waiting after all available matches are filled?
GPT-3.5 Turbo:
Reasoning: To find out how many players will be left waiting after filling all the matches, we need to find the remainder when 456 players are divided by 383 players. 456 divided by 383 is 1 with a remainder of 73. Therefore, 73 players will be left waiting after filling all the matches. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: A pirate ship has 923 cannonballs on board. They want to equally disperse them between 499 different crates. After evenly distributing them as much as possible, how many cannonballs will be left uncrated?
GPT-3.5 Turbo:
Reasoning: To find the number of cannonballs left uncrated, we need to find the remainder when 923 cannonballs are divided by 499 crates. Using long division, 923 ÷ 499 = 1 with a remainder of 424. Therefore, there will be 424 cannonballs left uncrated. ### Answer: 424.
Expected answer: 424
Correct? Yes
Problem: Keeping in line with the previous pirate ship themed problem, let's consider the following scenario: The same pirate ship initially started with 462 cannonballs instead of 923. After the pirates evenly distribute these cannonballs into the same 499 crates, can any be leftover? If so, how many cannonballs will be left uncrated?
GPT-3.5 Turbo:
Reasoning: To find the number of cannonballs left uncrated, we need to find the remainder when 462 cannonballs are divided by 499 crates. Using long division, 462 ÷ 499 = 0 with a remainder of 462. Therefore, there will be 462 cannonballs left uncrated. ### Answer: 462.
Expected answer: 462
Correct? Yes
Problem: A kite store has 530 string spools to attach to their kites. They distribute them to 518 kites, each getting one string spool. After each kite gets a spool, how many spools are left in the store?
GPT-3.5 Turbo:
Reasoning: After distributing the string spools to the kites, there are 530 - 518 = <<530-518=12>>12 spools left 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?
GPT-3.5 Turbo:
Reasoning: To find out how many jugs can be filled, we divide the total amount of milk by the amount each jug can hold: 913 gallons ÷ 39 gallons/jug = 23 jugs filled. To find out how many gallons will be left over, we multiply the number of jugs filled by the amount each jug can hold and subtract it from the total amount of milk: 913 gallons - (23 jugs * 39 gallons/jug) = 913 gallons - 897 gallons = 16 gallons left over. ### Answer: 16 gallons.
Expected answer: 16
Correct? Yes
Problem: The dairy farm has adjusted its production and now produces 913 gallons of milk in a day. If they started using larger milk jugs that hold 230 gallons each, how many gallons will be left over after all the jugs are filled?
GPT-3.5 Turbo:
Reasoning: To find out how many jugs can be filled, we divide the total amount of milk by the amount each larger jug can hold: 913 gallons ÷ 230 gallons/jug = 3 jugs filled. To find out how many gallons will be left over, we multiply the number of jugs filled by the amount each larger jug can hold and subtract it from the total amount of milk: 913 gallons - (3 jugs * 230 gallons/jug) = 913 gallons - 690 gallons = 223 gallons left over. ### Answer: 223 gallons.
Expected answer: 223
Correct? Yes
Problem: A doll seller received a shipment of 603 new dolls to put on the shelves. She arranged all the dolls in rows, with 369 dolls in each row. After filling up the rows as much as possible, how many dolls were left unarranged?
GPT-3.5 Turbo:
Reasoning: To find out how many dolls were left unarranged, we need to find the remainder when 603 dolls are divided by 369 dolls in each row. 603 dolls ÷ 369 dolls/row = 1 row with 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?
GPT-3.5 Turbo:
Reasoning: If the doll seller received a shipment of 44 dolls and arranged them in rows of 369 dolls each, we need to find the remainder when 44 dolls are divided by 369 dolls in each row. 44 dolls ÷ 369 dolls/row = 0 rows with 44 dolls left unarranged. ### Answer: 44.
Expected answer: 44
Correct? Yes
Problem: A jewelry maker has 850 beads to make necklaces. They use 631 beads for each necklace. After using as many beads as possible, how many beads will the jewelry maker have left over?
GPT-3.5 Turbo:
Reasoning: The jewelry maker will have 850 - 631 = <<850-631=219>>219 beads 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?
GPT-3.5 Turbo:
Reasoning: The number of necklaces that can be made with 850 beads is 850 / 150 = <<850/150=5.666666666666667>>5.666666666666667. Since we cannot make a fraction of a necklace, the jewelry maker can make 5 necklaces with 150 beads each, using a total of 5 * 150 = <<5*150=750>>750 beads. Therefore, the jewelry maker will have 850 - 750 = <<850-750=100>>100 beads left over. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: A gardener has 952 grapes that he wants to package into boxes. If each box can hold 380 grapes, how many grapes will be left after the gardener has filled as many boxes as possible?
GPT-3.5 Turbo:
Reasoning: The gardener can fill 952/380 = <<952/380=2.505>>2.505 boxes. Since the gardener can only fill whole boxes, he will fill 2 boxes. The number of grapes left after filling 2 boxes is 952 - 2*380 = <<952-2*380=192>>192 grapes. ### Answer: 192
Expected answer: 192
Correct? Yes
Problem: The gardener's friend gave him an additional 183 grapes from his own garden. If the gardener decides to package these grapes as well into boxes with each box holding 380 grapes, how many grapes will remain after packaging the new grapes into as many boxes as possible?
GPT-3.5 Turbo:
Reasoning: The gardener now has 952 + 183 = <<952+183=1135>>1135 grapes in total. The gardener can fill 1135/380 = <<1135/380=2.986>>2.986 boxes with the new grapes. Since the gardener can only fill whole boxes, he will fill 2 boxes. The number of grapes left after filling 2 boxes is 1135 - 2*380 = <<1135-2*380=375>>375 grapes. ### Answer: 375
Expected answer: 183
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?
GPT-3.5 Turbo:
Reasoning: To find out how many steps will be left after reaching the last significant place or clue, we need to find the remainder when 236 steps are divided by 44. 236 divided by 44 gives a quotient of 5 with a remainder of 36. Therefore, there will be 36 steps left after reaching the last significant place or clue. ### Answer: 36
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?
GPT-3.5 Turbo:
Reasoning: To find the number of bubbles in the final incomplete group, we need to find the remainder when 932 bubbles are divided by 507. 932 divided by 507 gives a quotient of 1 with a remainder of 425. Therefore, the machine makes 425 bubbles in its final, incomplete group. ### Answer: 425
Expected answer: 425
Correct? Yes
Problem: Suppose Sarah uses her bubble machine again, this time to blow 904 bubbles. The machine is still designed to form groups of 507 bubbles each before releasing them. After forming complete groups, how many bubbles does it make in its final, incomplete group?
GPT-3.5 Turbo:
Reasoning: To find the number of bubbles in the final incomplete group when Sarah blows 904 bubbles, we need to find the remainder when 904 bubbles are divided by 507. 904 divided by 507 gives a quotient of 1 with a remainder of 397. Therefore, the machine makes 397 bubbles in its final, incomplete group when Sarah blows 904 bubbles. ### Answer: 397
Expected answer: 397
Correct? Yes
Problem: At the park, there are 931 kids who want to use the swings. Each swing set can accommodate 34 kids at a time. If all the swing sets are filled continuously, how many kids will be waiting for their turn after all the swing sets are occupied?
GPT-3.5 Turbo:
Reasoning: The total number of kids that can use the swings at a time is 34 x 3 = <<34*3=102>>102 kids. There will be 931 - 102 = <<931-102=829>>829 kids waiting for their turn after all the swing sets are occupied. ### Answer: 829
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?
GPT-3.5 Turbo:
Reasoning: John can fill 943/433 = <<943/433=2>>2 wallets completely. After filling 2 wallets, John has 943 - 2*433 = <<943-2*433=77>>77 dollar bills left. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: Suppose John originally had 586 dollar bills instead of 943. He still 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 now?
GPT-3.5 Turbo:
Reasoning: John can fill 586/433 = 1 wallet completely. After filling 1 wallet, John has 586 - 1*433 = 153 dollar bills left. ### Answer: 153
Expected answer: 153
Correct? Yes
Problem: A helicopter pilot plans to transport 240 passengers over several trips. He can carry 177 passengers in one trip. How many passengers will be left behind after the helicopter makes the first full trip?
GPT-3.5 Turbo:
Reasoning: After the first full trip, the pilot will have transported 177 passengers, leaving 240 - 177 = <<240-177=63>>63 passengers behind. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: A gardener has 982 flowers to plant in flowerbeds. Each flowerbed can fit 555 flowers. After filling up as many flowerbeds as possible, how many flowers will the gardener have left to plant?
GPT-3.5 Turbo:
Reasoning: The gardener can fill up 982 flowers / 555 flowers per flowerbed = <<982/555=1.769>>1.769 flowerbeds. Since the gardener can only plant whole flowerbeds, the gardener can fill up 1 flowerbed. The number of flowers left to plant is 982 flowers - 555 flowers = <<982-555=427>>427 flowers. ### Answer: 427
Expected answer: 427
Correct? Yes
Problem: The gardener received an additional shipment, bringing the total number of flowers up to 867. If he continues to plant the flowers in flowerbeds of 555 each, how many flowers will he have left to plant after filling up as many flowerbeds as possible?
GPT-3.5 Turbo:
Reasoning: The gardener received a total of 867 flowers. The gardener has already planted 555 flowers in one flowerbed. The number of flowers left to plant is 867 flowers - 555 flowers = 312 flowers. ### Answer: 312
Expected answer: 312
Correct? Yes
Problem: A farmer grows 203 strawberry plants. She wants to divide her plants into groups of 5 to sell. How many plants will be remaining if she divides them equally?
GPT-3.5 Turbo:
Reasoning: To find out how many plants will be remaining, we need to find the remainder when 203 is divided by 5. 203 divided by 5 is 40 with a remainder of 3. Therefore, the farmer will have 3 plants remaining. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: The farmer harvested another field and got an additional 76 strawberry plants. Again, she wants to divide the new plants into groups of 5 to sell. How many plants will be remaining if she divides these new strawberries equally?
GPT-3.5 Turbo:
Reasoning: The farmer now has 203 + 76 = <<203+76=279>>279 strawberry plants in total. To find out how many plants will be remaining after dividing 279 by 5, we need to find the remainder. 279 divided by 5 is 55 with a remainder of 4. Therefore, the farmer will have 4 plants remaining. ### Answer: 4
Expected answer: 1
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?
GPT-3.5 Turbo:
Reasoning: The gardener can create 355/16 = 22 bundles of carrots. After creating the bundles, he will have 355 - 16*22 = 355 - 352 = 3 carrots left. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A total rainfall of 612 inches fell over a certain city in 29 consecutive days. If the rain fell in the same amount every day, how many inches of rain would be left to make the days evenly rainy?
GPT-3.5 Turbo:
Reasoning: If the rain fell evenly over 29 days, then each day would have 612/29 = <<612/29=21>>21 inches of rain. To make the days evenly rainy, there would be 29*21 = <<29*21=609>>609 inches of rain left. ### Answer: 609.
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?
GPT-3.5 Turbo:
Reasoning: To find out how many boxes will be left over, we need to find the remainder when 514 boxes are divided by 371 boxes. 514 divided by 371 equals 1 with a remainder of 143. Therefore, there will be 143 boxes left over. ### Answer: 143
Expected answer: 143
Correct? Yes
Problem: In a large sandbox, children create 684 sandcastles over the summer. The sandcastles were grouped into sets of 230 for a photography contest. After all the sets were completed, how many sandcastles were left that didn't form a complete set?
GPT-3.5 Turbo:
Reasoning: The total number of sandcastles created is 684. Each set contains 230 sandcastles. To find the number of sandcastles left that didn't form a complete set, we need to find the remainder when 684 is divided by 230. 684 divided by 230 gives a quotient of 2 with a remainder of 224. Therefore, there were 224 sandcastles left that didn't form a complete set. ### Answer: 224
Expected answer: 224
Correct? Yes
Problem: Continuing from the prior problem, suppose that in another large sandbox, children now create 533 sandcastles over the summer instead of 684. If they still group the sandcastles in sets of 230 for a photography contest, how many sandcastles will be left now that don't form a complete set?
GPT-3.5 Turbo:
Reasoning: The total number of sandcastles created is now 533. Each set contains 230 sandcastles. To find the number of sandcastles left that didn't form a complete set, we need to find the remainder when 533 is divided by 230. 533 divided by 230 gives a quotient of 2 with a remainder of 73. Therefore, there will be 73 sandcastles left that don't form a complete set. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: A toy manufacturer has a production run of 735 toy cars. They package the cars in packs of 348 for bulk shipments. If all the toy cars are divided equally among packs, how many toy cars will be left over after all full packs have been filled?
GPT-3.5 Turbo:
Reasoning: The number of toy cars left over after all full packs have been filled is the remainder when 735 toy cars are divided by 348 toy cars per pack. 735 divided by 348 is 2 with a remainder of 39. Therefore, there will be 39 toy cars left over after all full packs have been filled. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: The toy manufacturer decides in the next production run to make only 77 toy cars instead of 735. Again, they package the cars in packs of 348 for bulk shipments. If all the toy cars are divided equally among these packs, how many toy cars will be left over after all full packs have been filled?
GPT-3.5 Turbo:
Reasoning: The number of toy cars left over after all full packs have been filled is the remainder when 77 toy cars are divided by 348 toy cars per pack. 77 divided by 348 is 0 with a remainder of 77. Therefore, there will be 77 toy cars left over after all full packs have been filled. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In a forest, there are 386 animals. Each woodlands territory can support 95 animals. If the existing animals are evenly distributed among the territories, how many animals will be left in the last not fully occupied territory?
GPT-3.5 Turbo:
Reasoning: The number of fully occupied territories is 386 animals / 95 animals/territory = 4 territories. The number of animals left in the last not fully occupied territory is 386 animals - 4 territories * 95 animals/territory = 386 - 380 = <<386-380=6>>6 animals. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In the same forest, a new report finds that there were actually 497 animals instead of the initially thought 386. If these animals were evenly distributed among the territories, each still supporting 95 animals, how many animals would be in the last not fully occupied territory now?
GPT-3.5 Turbo:
Reasoning: The number of fully occupied territories with 497 animals is 497 animals / 95 animals/territory = 5 territories. The number of animals left in the last not fully occupied territory is 497 animals - 5 territories * 95 animals/territory = 497 - 475 = <<497-475=22>>22 animals. ### Answer: 22
Expected answer: 22
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?
GPT-3.5 Turbo:
Reasoning: If 646 trees are affected by the disease, then the number of trees that will stay healthy is 801 - 646 = 155 trees. ### Answer: 155
Expected answer: 155
Correct? Yes
Problem: A rope manufacturer has made a rope of 934 meters in length. This rope is supposed to be cut into smaller pieces, each piece being 902 meters in length. After cutting into the maximum possible number of equal pieces, how many meters will the last piece of the rope be?
GPT-3.5 Turbo:
Reasoning: To find the length of the last piece, we need to find the remainder when 934 meters is divided by 902 meters. The remainder is 934 - (902 * (934 // 902)) = 934 - (902 * 1) = 934 - 902 = <<934-902=32>>32 meters. ### Answer: 32 meters.
Expected answer: 32
Correct? Yes
Problem: Continuing from the previous scenario, suppose that the manufacturer only made a rope of 202 meters in length initially. Applying the same method of cutting rope into pieces that are each 902 meters long, how many meters would the piece of the rope be now?
GPT-3.5 Turbo:
Reasoning: Since the length of the rope is less than 902 meters, the whole rope will be used and there will be no remainder. Therefore, the last piece of the rope will be the same length as the initial rope, which is 202 meters. ### Answer: 202 meters.
Expected answer: 202
Correct? Yes
Problem: A dairy farm produces 561 liters of milk each day. The milk is packaged into 550-liter containers. How many liters of milk are left over each day after filling the containers?
GPT-3.5 Turbo:
Reasoning: The amount of milk left over each day after filling the containers is 561 - 550 = <<561-550=11>>11 liters. ### Answer: 11
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?
GPT-3.5 Turbo:
Reasoning: With 729 liters of milk produced each day, the amount of milk left over after filling the 550-liter containers would be 729 - 550 = <<729-550=179>>179 liters. ### Answer: 179
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?
GPT-3.5 Turbo:
Reasoning: Jon will have 259 % 258 = 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?
GPT-3.5 Turbo:
Reasoning: If each puzzle requires 542 pieces and Jon has 259 pieces, he can complete 259 // 542 = 0 full puzzles. Jon will have 259 - 0*542 = 259 pieces left over after finishing as many full puzzles as possible. ### Answer: 259
Expected answer: 259
Correct? Yes
Problem: A jewelry maker has 673 beads. She plans to use exactly 49 beads for each bracelet. How many beads will she have left after creating as many bracelets as possible with the exact number of beads?
GPT-3.5 Turbo:
Reasoning: The number of beads used for each bracelet is 49, so the number of bracelets she can make is 673 / 49 = 13 with 36 beads left. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: The jewelry maker received an additional shipment, and now she has a total of 673 beads. This time, she wants to make larger bracelets which use exactly 545 beads each. After creating as many large bracelets as possible, how many beads will she have left over?
GPT-3.5 Turbo:
Reasoning: The number of beads used for each large bracelet is 545, so the number of large bracelets she can make is 673 / 545 = 1 with 128 beads left. ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: A police station received 927 calls within a week. They have 311 operators who can handle the same number of calls each week. However, when the calls are divided equally, how many calls will the last operator handle?
GPT-3.5 Turbo:
Reasoning: To find out how many calls the last operator will handle, we need to divide the total number of calls by the number of operators and find the remainder. The number of calls the last operator will handle is 927 % 311 = <<927%311=3>>3 calls. ### Answer: 3
Expected answer: 305
Correct? No
Problem: John has 764 pieces for his jigsaw puzzle, and every package should contain 589 pieces. If he separates these pieces into full packages, how many pieces will be left outside without a package?
GPT-3.5 Turbo:
Reasoning: John has 764 pieces and each package contains 589 pieces. The number of pieces left outside without a package is given by the remainder when 764 is divided by 589. 764 divided by 589 is 1 with a remainder of 175. Therefore, John will have 175 pieces left outside without a package. ### Answer: 175
Expected answer: 175
Correct? Yes
Problem: If John had originally only 404 puzzle pieces, and each package can still only contain 589, how many pieces will be left outside the package now?
GPT-3.5 Turbo:
Reasoning: If John originally had 404 pieces and each package contains 589 pieces, the number of pieces left outside without a package is given by the remainder when 404 is divided by 589. 404 divided by 589 is 0 with a remainder of 404. Therefore, John will have 404 pieces left outside without a package. ### Answer: 404
Expected answer: 404
Correct? Yes
Problem: A dressmaker has 984 meters of fabric. She uses 217 meters of fabric to make each dress. After using all the fabric she can to make as many dresses as possible, how many meters of fabric will she have left?
GPT-3.5 Turbo:
Reasoning: The dressmaker can make 984/217 = <<984/217>>4 dresses with 984 meters of fabric. After making 4 dresses, she will have 984 - 4*217 = <<984-4*217=134>>134 meters of fabric left. ### Answer: 134.
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?
GPT-3.5 Turbo:
Reasoning: The total number of sleeping bags is 639, and each campsite is supplied with 374 sleeping bags. The number of sleeping bags left after dividing equally among the campsites is 639 % 374 = 265. ### Answer: 265.
Expected answer: 265
Correct? Yes
Problem: The same company from our previous question receives an updated request for sleeping bags. Now instead of 639, they only need to donate 613. If each campsite is still supplied with 374 sleeping bags, how many sleeping bags will be left after all the campsites are filled?
GPT-3.5 Turbo:
Reasoning: The total number of sleeping bags is now 613, and each campsite is supplied with 374 sleeping bags. The number of sleeping bags left after dividing equally among the campsites is 613 % 374 = 239. ### Answer: 239.
Expected answer: 239
Correct? Yes
Problem: A pizza restaurant made 620 pizzas today. They package up the pizzas in boxes that hold 578 each for delivery. If the pizzas are evenly distributed into these boxes, how many pizzas will be left over that don't fit into a box?
GPT-3.5 Turbo:
Reasoning: To find out how many pizzas will be left over, we need to find the remainder when 620 is divided by 578. 620 divided by 578 is 1 with a remainder of 42. Therefore, there will be 42 pizzas 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?
GPT-3.5 Turbo:
Reasoning: The total number of pizzas after making 74 more is 694. 694 divided by 578 is 1 with a remainder of 116. Therefore, there will be 116 pizzas left over that don't fit into a box this time. ### 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?
GPT-3.5 Turbo:
Reasoning: The number of robots that will not fit in the storage units is 820 % 684 = 136. ### Answer: 136
Expected answer: 136
Correct? Yes
Problem: In the same factory, another production run is completed, this time manufacturing a total of 820 upgraded robots. However, the storage units for these new models can only hold 625 robots each. If the robots are evenly stored, how many upgraded robots will not fit and remain outside the storage units now?
GPT-3.5 Turbo:
Reasoning: The number of upgraded robots that will not fit in the storage units is 820 % 625 = 195. ### Answer: 195
Expected answer: 195
Correct? Yes
Problem: A cloud changes its shape by reducing its water droplets. Initially, there were 516 droplets in the cloud. If the cloud loses water droplets at an equal rate and becomes entirely dry after every 289 droplets, how many droplets will be left when the cloud is dry after the final cycle?
GPT-3.5 Turbo:
Reasoning: The cloud loses water droplets at an equal rate, so we need to find the remainder when 516 is divided by 289. 516 divided by 289 gives a quotient of 1 and a remainder of 227. Therefore, there will be 227 droplets left when the cloud is dry after the final cycle. ### Answer: 227
Expected answer: 227
Correct? Yes
Problem: If initially, there were only 175 droplets in the cloud instead of 516. If the cloud loses water droplets at an equal rate and becomes entirely dry after every 289 droplets, how many droplets will be left when the cloud is dry after the final cycle?
GPT-3.5 Turbo:
Reasoning: If there were initially 175 droplets in the cloud, we need to find the remainder when 175 is divided by 289. 175 divided by 289 gives a quotient of 0 and a remainder of 175. Therefore, there will be 175 droplets left when the cloud is dry after the final cycle. ### Answer: 175
Expected answer: 175
Correct? Yes
Problem: A transport company needs to load 330 boxes into trucks. Each truck can hold exactly 4 boxes. After filling each truck to its full capacity, how many boxes will be left unloaded?
GPT-3.5 Turbo:
Reasoning: To find out how many boxes will be left unloaded, we need to divide the total number of boxes by the number of boxes each truck can hold and find the remainder. 330 boxes ÷ 4 boxes/truck = 82 trucks with no boxes left unloaded. Therefore, 330 boxes - 82 trucks * 4 boxes/truck = 2 boxes 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?
GPT-3.5 Turbo:
Reasoning: Similar to the previous scenario, we need to divide the total number of new boxes by the number of boxes each truck can hold and find the remainder. 274 boxes ÷ 4 boxes/truck = 68 trucks with no boxes left unloaded. Therefore, 274 boxes - 68 trucks * 4 boxes/truck = 2 boxes left unloaded. ### Answer: 2.
Expected answer: 2
Correct? Yes
Problem: A farmer harvested 649 potatoes this season. He decides to pack them into crates each containing 183 potatoes. How many potatoes will be left after all crates are filled to their maximum capacity?
GPT-3.5 Turbo:
Reasoning: 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 harvested by the number of potatoes in each crate and find the remainder. 649 potatoes harvested ÷ 183 potatoes per crate = 3 crates with 100 potatoes each and 49 potatoes left over. Therefore, there will be 49 potatoes left after all crates are filled to their maximum capacity. ### Answer: 49
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?
GPT-3.5 Turbo:
Reasoning: To find the number of shirts left outside the boxes, we need to find the remainder when 258 is divided by 67. 258 divided by 67 is 3 with a remainder of 57. Therefore, there would be 57 shirts left outside the boxes. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Suppose the t-shirt company actually had a batch of 258 shirts, but this time each box can pack 828 shirts. If all the shirts are evenly distributed in the boxes, how many shirts would be left outside the boxes?
GPT-3.5 Turbo:
Reasoning: To find the number of shirts left outside the boxes, we need to find the remainder when 258 is divided by 828. Since 258 is less than 828, all shirts will fit into the boxes without any left outside. Therefore, there would be 0 shirts left outside the boxes. ### Answer: 0
Expected answer: 258
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?
GPT-3.5 Turbo:
Reasoning: To find the number of gold coins left over, we need to find the remainder when 995 gold coins are divided by 267 pirates. Using long division, 995 ÷ 267 = 3 with a remainder of 194. Therefore, there will be 194 gold coins left over. ### Answer: 194
Expected answer: 194
Correct? Yes
Problem: There are 776 snails all lined up in a row. If you group them in bunches of 375 snails, how many snails will be left in the final group?
GPT-3.5 Turbo:
Reasoning: To find the number of snails left in the final group, we need to find the remainder when 776 is divided by 375. 776 divided by 375 is 2 with a remainder of 26. Therefore, there will be 26 snails left in the final group. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Originally, you had grouped the snails in bunches of 375 snails each. Now, think about what would happen if each bunch had 18 snails instead. How many snails would be left in the final group then?
GPT-3.5 Turbo:
Reasoning: If each bunch had 18 snails instead of 375, we need to find the remainder when 776 is divided by 18. 776 divided by 18 is 43 with a remainder of 10. Therefore, there will be 10 snails left in the final group. ### Answer: 10
Expected answer: 2
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?
GPT-3.5 Turbo:
Reasoning: The number of pillows left outside the boxes is the remainder when 589 pillows are divided by 198 pillows per box. 589 pillows ÷ 198 pillows per box = 3 full boxes with a remainder of 5 pillows. Therefore, there will be 5 pillows left outside the boxes at the end of the day. ### Answer: 5
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?
GPT-3.5 Turbo:
Reasoning: The number of necklaces the jewelry maker can make is 633 beads / 30 beads per necklace = <<633/30=21>>21 necklaces. After making 21 necklaces, the jewelry maker will have 633 beads - 21 necklaces * 30 beads per necklace = 633 - 630 = <<633-630=3>>3 beads left. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: The jewelry maker found an additional box of beads in her storage, increasing her total number of beads to 588. Now, if she uses these beads to make necklaces, with each necklace using exactly 30 beads, how many beads will she have left after making as many necklaces as she can?
GPT-3.5 Turbo:
Reasoning: The jewelry maker now has 588 beads. She can make 588 beads / 30 beads per necklace = <<588/30=19>>19 necklaces. After making 19 necklaces, the jewelry maker will have 588 beads - 19 necklaces * 30 beads per necklace = 588 - 570 = <<588-570=18>>18 beads left. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: John has collected 365 coins. He decided to put equal numbers of them in his 140 wallets. However, he found out he would still have some coins left after evenly distributing them into these wallets. How many coins will John have left?
GPT-3.5 Turbo:
Reasoning: If John puts an equal number of coins in each of the 140 wallets, he would have 365/140 = 2 coins in each wallet with 5 coins left. Therefore, John will have 5 coins left. ### Answer: 5
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?
GPT-3.5 Turbo:
Reasoning: The number of socks left unpacked is the remainder when 743 socks are divided by 451 socks per carton. 743 socks ÷ 451 socks per carton = 1 carton with 292 socks left unpacked. ### Answer: 292.
Expected answer: 292
Correct? Yes
Problem: Now suppose the sock manufacturer changes their packaging method and each carton contains 179 socks instead of 451 socks. After filling up as many cartons as possible with 743 socks, how many socks are left unpacked?
GPT-3.5 Turbo:
Reasoning: The number of socks left unpacked is the remainder when 743 socks are divided by 179 socks per carton. 743 socks ÷ 179 socks per carton = 4 cartons with 107 socks left unpacked. ### Answer: 107.
Expected answer: 27
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?
GPT-3.5 Turbo:
Reasoning: The number of children left waiting for their turn is 923 - 771 = 152. ### 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?
GPT-3.5 Turbo:
Reasoning: After the second wave of children goes down the slide, there will be 923 - 881 = 42 children 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?
GPT-3.5 Turbo:
Reasoning: Iron Punch can teleport 104 people at a time, so he will have to make 442/104 = 4 full trips. After making 4 full trips, Iron Punch will have saved 4*104 = <<4*104=416>>416 people. There will be 442-416 = <<442-416=26>>26 people left in the building for his last round of rescue. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: What if there were actually 512 people in the collapsing building instead of 442? After Superhero Iron Punch teleports as many full groups of 104 people as he can to safety, how many people will be left in the building for his last round of rescue now?
GPT-3.5 Turbo:
Reasoning: Iron Punch can teleport 104 people at a time, so he will have to make 512/104 = 4 full trips. After making 4 full trips, Iron Punch will have saved 4*104 = <<4*104=416>>416 people. There will be 512-416 = <<512-416=96>>96 people left in the building for his last round of rescue. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: A card game manufacturer creates a deck of cards with 569 cards. Each card pack has 68 cards. After creating as many packs as possible, how many cards will the manufacturer have left over?
GPT-3.5 Turbo:
Reasoning: The manufacturer can create 569/68 = 8 packs of cards. After creating 8 packs, the manufacturer will have 569 - 8*68 = 569 - 544 = <<569-8*68=569-544>>25 cards left over. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: After realizing the popularity of the game, the card manufacturer decides to produce another deck of cards, this time with 205 cards. Once again, each card pack can hold 68 cards. After creating as many full packs as possible, how many cards will the manufacturer have left over this time around?
GPT-3.5 Turbo:
Reasoning: The manufacturer can create 205/68 = 3 packs of cards. After creating 3 packs, the manufacturer will have 205 - 3*68 = 205 - 204 = <<205-3*68=205-204>>1 card left over. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A stationery store received a shipment of 842 erasers. The store owner wants to display them in boxes, with each box containing 719 erasers. After filling as many boxes as possible, how many erasers will be left over?
GPT-3.5 Turbo:
Reasoning: To find out how many erasers will be left over, we need to find the remainder when 842 is divided by 719. 842 divided by 719 equals 1 with a remainder of 123. Therefore, there will be 123 erasers left over. ### Answer: 123
Expected answer: 123
Correct? Yes
Problem: Suppose the stationery store owner later decided to display the erasers in smaller boxes, with each box containing 420 erasers instead. After filling as many boxes as possible, how many erasers will be left over now?
GPT-3.5 Turbo:
Reasoning: To find out how many erasers will be left over when displayed in boxes of 420 erasers each, we need to find the remainder when 842 is divided by 420. 842 divided by 420 equals 2 with a remainder of 2. Therefore, there will be 2 erasers left over. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A farmer harvested 461 carrots from his garden. He packs them into boxes, each box can hold up to 244 carrots. After packing as many full boxes as possible, how many carrots will be left unpacked?
GPT-3.5 Turbo:
Reasoning: The farmer can pack 461 carrots ÷ 244 carrots/box = 1 full box with 17 carrots left unpacked. Therefore, there will be 17 carrots left unpacked. ### Answer: 17
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?
GPT-3.5 Turbo:
Reasoning: The number of penguins in the final group will be the remainder when 309 is divided by 293.
\[309 \div 293 = 1 \text{ remainder } 16\]
Therefore, there will be 16 penguins in the final, possibly incomplete, group.
### Answer: 16
Expected answer: 16
Correct? Yes
Problem: The penguin scientist realizes she made a mistake and there were actually only 262 penguins in each group. How many penguins will be in the final, possibly incomplete, group now?
GPT-3.5 Turbo:
Reasoning: The number of penguins in the final group will be the remainder when 309 is divided by 262.
\[309 \div 262 = 1 \text{ remainder } 47\]
Therefore, there will be 47 penguins in the final, possibly incomplete, group.
### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A sandwich shop has 580 slices of bread. They use 18 slices of bread for each sandwich-making batch. After using up the bread in these batches, how many slices will they have left?
GPT-3.5 Turbo:
Reasoning: If they use 18 slices of bread for each batch, then they will use 18 x number of batches slices of bread in total. The number of batches they can make is 580 / 18 = 32.2222... Since they can only make whole batches, they can make 32 batches. After using up the bread in these batches, they will have 580 - 18 x 32 = 580 - 576 = 4 slices left. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: The sandwich shop's supplier delivered an additional batch of bread, bringing their total to 580 slices. If the shop still makes sandwiches using 477 slices of bread per batch, how many slices will they have left after the latest batch of sandwiches is made?
GPT-3.5 Turbo:
Reasoning: Since the supplier delivered an additional batch of bread, the total number of slices of bread the shop has is now 580. If they make sandwiches using 477 slices of bread per batch, then they will use 477 slices for the latest batch. After making the latest batch of sandwiches, they will have 580 - 477 = 103 slices left. ### Answer: 103
Expected answer: 103
Correct? Yes
Problem: A tailor has 925 meters of fabric. The tailor uses 529 meters of fabric to make each dress. If the tailor uses the fabric evenly for each dress, how many meters of fabric will be left over after completing the dresses?
GPT-3.5 Turbo:
Reasoning: If the tailor uses 529 meters of fabric for each dress, the number of dresses that can be made is 925/529 = <<925/529=1.75>>1.75 dresses. Since the tailor cannot make a fraction of a dress, the tailor can make only 1 dress using 529 meters of fabric. The amount of fabric left over after making 1 dress is 925 - 529 = <<925-529=396>>396 meters. ### Answer: 396 meters.
Expected answer: 396
Correct? Yes
Problem: After making some dresses, the tailor now only has 62 meters of fabric left. If the tailor continues to use 529 meters of fabric to make each dress, how many meters of fabric will be left over after making the dresses?
GPT-3.5 Turbo:
Reasoning: The tailor started with 925 meters of fabric and now has 62 meters left, so the tailor used 925 - 62 = <<925-62=863>>863 meters of fabric. If the tailor uses 529 meters of fabric for each dress, the number of dresses that can be made is 863 / 529 = <<863/529=1.63>>1.63 dresses. Since the tailor can only make whole dresses, the tailor can make only 1 dress using 529 meters of fabric. The amount of fabric left over after making 1 dress is 863 - 529 = <<863-529=334>>334 meters. ### Answer: 334 meters.
Expected answer: 62
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?
GPT-3.5 Turbo:
Reasoning: The number of tourists left for the last group of the day is the remainder when 976 tourists are divided by 530 tourists per group. 976 divided by 530 is 1 with a remainder of 446. Therefore, there will be 446 tourists left for the last group of the day. ### Answer: 446
Expected answer: 446
Correct? Yes
Problem: What would happen if the number of tourists wanting to explore the castle was still 976, but this time each group could accommodate up to 726 people? How many tourists would be left for the last group of the day now?
GPT-3.5 Turbo:
Reasoning: The number of tourists left for the last group of the day is the remainder when 976 tourists are divided by 726 tourists per group. 976 divided by 726 is 1 with a remainder of 250. Therefore, there will be 250 tourists left for the last group of the day. ### Answer: 250
Expected answer: 250
Correct? Yes