🔗 Problem

Problem: There are 535 fish in a large tank and a shark eats 461 of them in one sitting. If the shark continues this pattern and only eats when there are 461 or more fish to consume, how many fish will be leftover after its dinner?

Gemma 2B:

    Reasoning: The shark will only eat when there are 461 or more fish.
    After eating 461 fish, there will be 535 - 461 = <<94>>94 fish left.
    ### Answer: 94

Expected answer: 74

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: He distributed 186/928 = <<186/928=0.202>>0.202 sets of cookies.
    He distributed 0.202 sets of cookies to 186 orphanages, leaving 0.202 sets of cookies for himself.
    ### Answer: 0.202

Expected answer: 184

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 975 ÷ 196 = <<975 ÷ 196 ≈5>>5 left over slices.
    ### Answer: 5

Expected answer: 191

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The wizard starts with 932 stones. Each creature requires 193 stones, so after summoning x creatures, the number of stones remaining is 932 - x * 193.
    After the wizard summons 7 creatures, he has 932 - 7 * 193 = <<932-147=785>>785 stones left.

Expected answer: 160

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The builder needs to cover 660 ÷ 335 = <<660 ÷ 335=2>>2 tiles with each tile.
    The last tile will need to cover 660 - 2 = <<660 - 2=658>>658 square feet.
    ### Answer: 658

Expected answer: 325

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: 473 ÷ 22 = <<473 ÷ 22=21.75>>21.75 gallons of juice will be left after filling up all the containers.
    ### Answer: 21.75

Expected answer: 11

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 979 ÷ 108 = <<979 ÷ 108=9, 000>>9,000 toy cars left unpacked at the end of the day.
    ### Answer: 9,000

Expected answer: 7

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 994 ÷ 425 = <<994 ÷ 425=2.42>>2.42 boxes of crayons left out of the boxes after the operation.
    ### Answer: 2.42

Expected answer: 144

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The last zone can hold up to 696 tigers, so there will be 740-696 = <<740-696=44>>44 tigers left in the last zone.
    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    ### Answer: 0
    Reasoning: Since the last zone can now hold up to 908 tigers, there will be no tigers left in the last zone.

Expected answer: 740

Correct? No

🔗 Problem

Problem: A hat shop makes 830 hats every week. In order to make special edition boxes, the shop plans to put 421 hats in each box. If all the hats are evenly distributed among the boxes, how many hats will be left over?

Gemma 2B:

    Reasoning: 830-421 = <<830-421=409>>409 hats will be left over.
    ### Answer: 409

Expected answer: 409

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The number of fish will be the same as the number of fish that the fisherman catches, which is 575.
    ### Answer: 575

Expected answer: 296

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 891 ÷ 119 = <<891 ÷ 119 ≈ 7>>7 beach balls left over.

Expected answer: 58

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 544 ÷ 446 = <<544 ÷ 446 ≈ 1.2>>1.2 clusters.
    There are 544 - 1.2 = <<544 - 1.2=542.8>>542.8 stars remaining ungrouped.
    ### Answer: 542.8

Expected answer: 98

Correct? No

🔗 Problem

Problem: A manufacturer produces 805 socks in one shift. They are packaged into sets of 132 each. After the packaging, how many socks will remain unpackaged?

Gemma 2B:

    Reasoning: 805 ÷ 132 = <<805 ÷ 132=6>>6 socks will remain unpackaged.
    ### Answer: 6

Expected answer: 13

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each member will only view the event for one night, so the total number of people viewing the event on the final night is 759 members.
    ### Answer: 759

Expected answer: 75

Correct? No

🔗 Problem

Problem: A postman has to deliver 891 letters. Each mailbox can only hold 616 letters. If he puts equal numbers of letters in each mailbox, how many letters will remain in the last mailbox?

Gemma 2B:

    Reasoning: The last mailbox will hold 616 letters.
    The remaining letters = 891 - 616 = <<891-616=275>>275 letters.
    ### Answer: 275

Expected answer: 275

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Reasoning: The remaining letters = 524 - 616 = <<524-616=98>>98 letters.
    ### Answer: 98

Expected answer: 524

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: After a series of jumps, the frog eats 258 flies.
    Therefore, after a series of jumps, there are 941 - 258 = <<941-258=683>>683 flies left.

Expected answer: 167

Correct? No

🔗 Problem

Problem: A large park has a capacity of 991 spaces for cars to park. If all the spaces are evenly distributed between 66 rows, how many spare spaces will be there in the last row after max spaces are filled?

Gemma 2B:

    Reasoning: There are 991 spaces in the park, and each row has the same number of spaces. Therefore, there are 991/66 = <<15.83>>spaces in the last row.
    ### Answer: 15.83

Expected answer: 1

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: 193 ÷ 167 = <<193 ÷ 167 ≈ 1.15>>1.15.
    Therefore, 15 liters of water overflows and can't be distributed to the bottles.

Expected answer: 26

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The last row can hold 319 eggs. If there are 996 eggs, the last row will hold 996 ÷ 319 = <<3<<< eggs.

Expected answer: 39

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 691 ÷ 205 = <<691 ÷ 205 ≈ 3>>3 packs filled with bulbs.
    There are 691 - (205 × 3) = <<691 - 615>>136 bulbs left unpacked.
    ### Answer: 136

Expected answer: 76

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: First, we need to find the total number of bales of hay in the barns. 330. Then, we divide the total number of bales by the number of barns to find the amount of hay in each barn. 330 ÷ 259 = <<330 ÷ 259 ≈ 1.28>>1.28 bales in each barn.
    After filling up the barns, there will be 330 - 1.28 = <<330 - 1.28=328.72>>328.72 bales of hay left for the last barn.
    ### Answer: 328.72

Expected answer: 71

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each team can install 137 windows in one day, so 166/137 = <<166/137=1.2>>1.2 windows can be installed on the next day.
    ### Answer: 12

Expected answer: 29

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 533 ÷ 445 = <<533 ÷ 445 ≈ 1.18>>1.18 tents filled.
    There are 533 - 1.18 = <<533 - 1.18=531.82>>531.82 campers left over.
    ### Answer: 531.82

Expected answer: 88

Correct? No

🔗 Problem

Problem: There are 999 seashells collected from a beach. They are grouped in beach-themed souvenir sets, each containing 474 shells. After grouping, how many seashells will be left without a set?

Gemma 2B:

    Reasoning: There are 999 ÷ 474 = <<999 ÷ 474 ≈ 2>>2 seashells left without a set.
    There are 999 - 2 = <<999 - 2=997>>997 seashells left without a set.

Expected answer: 51

Correct? No

🔗 Problem

Problem: A tailor has 366 meters of fabric. If each skirt requires 160 meters of fabric, how many meters of fabric will be left after making as many skirts as possible?

Gemma 2B:

    Reasoning: The tailor will have 366 - 160 = <<366-160=206>>206 meters of fabric left after making as many skirts as possible.
    ### Answer: 206

Expected answer: 46

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 993 ÷ 327 = <<993 ÷ 327 ≈3>>3 boxes left with dolls to be packed.
    ### Answer: 3

Expected answer: 12

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each friend will receive 11.25 stuffed animals, leaving 735 (964 - 839) stuffed animals over.
    ### Answer: 735

Expected answer: 125

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 369 ÷ 270 = <<369 ÷ 270 ≈ 1.4>>1.4 boxes of teddy bears in each box.
    There are 1.4 boxes of teddy bears left if all the teddy bears are evenly packed in the boxes.
    ### Answer: 144

Expected answer: 99

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: 804 ÷ 184 = <<804 ÷ 184=4>>4 snowballs are left over.
    ### Answer: 4

Expected answer: 68

Correct? No

🔗 Problem

Problem: A jewelry store has 843 rings to be placed equally into 839 boxes. If each box is filled, how many rings will be left over?

Gemma 2B:

    Reasoning: 843 ÷ 839 = <<843 ÷ 839 ≈ 1>>1 ring will be left over.
    ### Answer: 1

Expected answer: 4

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: They will have 819 - 583 = <<819-583=236>>236 bricks left over.
    ### Answer: 236

Expected answer: 236

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    ### Answer: 486

Expected answer: 486

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The number of marshmallows left un-packaged is equal to the total number of marshmallows produced minus the number of marshmallows packaged.
    Therefore, the number of marshmallows left un-packaged is 998 - 957 = <<998-957=41>>41.
    ### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    Reasoning: The number of marshmallows left un-packaged is equal to the total number of marshmallows produced minus the number of marshmallows packaged.
    Therefore, the number of marshmallows left un-packaged is 998 - 804 = <<998-804=194>>194.
    ### Answer: 194

Expected answer: 194

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Princess distributes 426 roses in each tribute, so she distributes 426 * 984 = <<426 * 984 = 414048>>414048 roses in the garden.
    There are 984 - 414048 = <<984 - 414048 = 379596>>379596 roses left undistributed in the castle's garden.
    ### Answer: 379596

Expected answer: 132

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 334 ÷ 23 = <<334 ÷ 23 ≈14>>14 lines in the song.
    The incomplete line would have 14 words.
    ### Answer: 14

Expected answer: 12

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The teacher can print 928 ÷ 336 = <<928 ÷ 336 ≈ 2.8>>2.8 pages in one go.
    After printing, he will have 928 - 336 = <<928 - 336 = 592>>592 pages left over to print.
    ### Answer: 592

Expected answer: 256

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 972 ÷ 667 = <<972 ÷ 667 ≈14>>14 sharks left untagged after the scientists finish tagging as many complete groups as possible.
    ### Answer: 14

Expected answer: 305

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 686 ÷ 349 = <<686 ÷ 349 ≈ 1.98>>1.98 boxes of cheese.
    There would be 686 - 1.98 = <<686 - 1.98=684.02>>684.02 blocks of cheese left over after all the boxes are filled.

Expected answer: 337

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The snowplow can clear up to 170 centimeters of snow at a time, so after one pass, the remaining snow is half that amount, which is 170/2 = <<85>>85 centimeters.
    Therefore, there will be 85 centimeters of snow left over after the final pass.

Expected answer: 3

Correct? No

🔗 Problem

Problem: A compass maker has 661 needles to install in compasses. Each compass uses 510 needles. After installing as many full compasses as he can, how many needles will the compass maker have left?

Gemma 2B:

    Reasoning: The compass maker will have 661 - 510 = <<661-510=151>>151 needles left.
    ### Answer: 151

Expected answer: 151

Correct? Yes

🔗 Problem

Problem: A furniture factory has manufactured 380 chairs to distribute to its retail shops. Each shop can only hold 310 chairs in its storage. If the factory evenly distributes all the chairs to the shops, how many chairs will be left at the factory?

Gemma 2B:

    Reasoning: The factory has manufactured 380 chairs, and each shop can only hold 310 chairs. Therefore, the factory will have 380 - 310 = <<380-310=70>>70 chairs left at the factory.
    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    Reasoning: The factory has manufactured 380 chairs, and each distributor can only hold 143 chairs. Therefore, the factory will have 380 ÷ 143 = <<380 ÷ 143 ≈ 2.73>>2.73 chairs left at the factory after distributing them evenly.
    ### Answer: 2.73

Expected answer: 94

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: First, we need to find the total number of tomatoes the farmer packed in boxes. 154 tomatoes/box = <<154/box= 10.2>>10.2 boxes.
    Then, we subtract the number of tomatoes in the boxes from the total number of tomatoes to find the number left over: 929 - 10.2 = <<929-10.2=918.8>>918.8.
    ### Answer: 918.8

Expected answer: 5

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 454 ÷ 128 = <<454 ÷ 128=3.75>>3.75 pairs of ice skates will be left over after all the boxes are filled up equally.
    ### Answer: 3.75

Expected answer: 70

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The village consumes 385 units of power per day, and the windmill generates 506 units of power per day. Therefore, the windmill generates more power than the village consumes, resulting in a power surplus of 506 - 385 = <<121>>121 units of power at the end of the day.
    ### Answer: 121

Expected answer: 121

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    Reasoning: The village consumes 920 units of power per day, and the windmill generates 506 units of power per day. Therefore, the windmill generates more power than the village consumes, resulting in a power surplus of 506 - 920 = <<414>>414 units of power at the end of the day.
    ### Answer: 414

Expected answer: 506

Correct? No

🔗 Problem

Problem: Superhero Blast Man has 338 energy units in his power cells. Each energy blast he fires uses 16 energy units. After using equal units of energy firing blasts, how many energy units will Blast Man have left in his power cells?

Gemma 2B:

    Reasoning: After firing a blast, Blast Man uses 16 units. If he fires n blasts, he uses 16n units. After n blasts, his energy units are equal to 338 - 16n.
    When n = 10, his energy units are 338 - 16(10) = 338 - 160 = 278.
    ### Answer: 278

Expected answer: 2

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 530 students/144 students/bus = 3.6 bus.
    The last bus will have 3 whole buses and 6 students left.
    ### Answer: 6

Expected answer: 98

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The wizard distributed 999/951 = <<999/951=10.22>>10.22 spells to each apprentice.
    The wizard will have 999 - 10.22 = <<999-10.22=988.78>>988.78 spells left after giving out as many as he can to his apprentices.

Expected answer: 48

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each truck can carry 369/767 = <<0.48>>48% of the total scooters.
    Therefore, there will be 767 x 0.48 = <<350.8>>351 scooters left after all the trucks are loaded.

Expected answer: 29

Correct? No

🔗 Problem

Problem: There are 846 water droplets in a cloud. Each raindrop needs 722 droplets to form. If all droplets are used to form raindrops, how many droplets would be left unconverted in the cloud after reaching the maximum number of rain drops?

Gemma 2B:

    Reasoning: There are 846 droplets in a cloud, and each raindrop needs 722 droplets to form. Therefore, there are 846 ÷ 722 = <<1.25>>1.25 droplets left unconverted in the cloud after reaching the maximum number of rain drops.
    ### Answer: 1.25

Expected answer: 124

Correct? No

🔗 Problem

Problem: Unicorn Village, a magical place where 265 unicorns live, is divided into 146 equal sections where these magical creatures reside. If each section is occupied by an equal number of unicorns, how many unicorns will live in the last incomplete section?

Gemma 2B:

    Reasoning: There are 146 sections, each containing 265/146 = <<265/146=1.94>>1.94 unicorns.
    The last incomplete section will have 1 unicorn, making a total of 1+146 = 147 unicorns living in the village.

Expected answer: 119

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 923 players waiting to enter a match. If 383 players can enter a match at a time, there will be 923 - 383 = <<923-383=540>>540 players left waiting after all the matches are filled.
    ### Answer: 540

Expected answer: 157

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The number of cannonballs left uncrated is equal to the total number of cannonballs minus the number distributed to the crates.
    923 - 499 = <<923-499=424>>424 cannonballs will be left uncrated.

Expected answer: 424

Correct? Yes

🔗 Problem

Problem: A kite store has 530 string spools to attach to their kites. They distribute them to 518 kites, each getting one string spool. After each kite gets a spool, how many spools are left in the store?

Gemma 2B:

    Reasoning: After distributing the spools, there are 530 - 518 = <<530-518=12>>12 spools left in the store.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A dairy farm produces 913 gallons of milk in a day. If every milk jug holds 39 gallons, how many gallons will be left over after all the jugs are filled?

Gemma 2B:

    Reasoning: There are 913 ÷ 39 = <<913 ÷ 39=24>>24 jugs filled.
    After filling, there are 913 - 24 = <<913 - 24=899>>899 gallons left over.
    ### Answer: 899

Expected answer: 16

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There were 603 ÷ 369 = <<603 ÷ 369=1.6>>1.6 rows left unarranged.
    There were 603 - 1.6 = <<603 - 1.6= 601.4>>601.4 dolls left unarranged.
    ### Answer: 601.4

Expected answer: 234

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: After using 631 beads, the jewelry maker has 850 - 631 = <<850-631=219>>219 beads left over.

Expected answer: 219

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The gardener can fill 4 boxes with 952 ÷ 380 = <<952 ÷ 380 ≈ 25>>25 grapes.
    There will be 952 - 25 = <<952 - 25 = 927>>927 grapes left after the gardener has filled as many boxes as possible.

Expected answer: 192

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 236 ÷ 44 = <<236 ÷ 44=5>>5 significant places or clues to reach the last one.
    There are 236 - 5 = <<236 - 5=231>>231 steps left after reaching the last significant place or clue.

Expected answer: 16

Correct? No

🔗 Problem

Problem: Sarah blew 932 bubbles using her new bubble machine. The machine is designed to form groups of 507 bubbles each before releasing them. After forming complete groups, how many bubbles does it make in its final, incomplete group?

Gemma 2B:

    Reasoning: After forming the first group, the machine will continue to form groups of 507 bubbles. Since the last group will be incomplete, it will have fewer than 507 bubbles.
    ### Answer: 49

Expected answer: 425

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 931 kids, and each swing set can accommodate 34 kids. Therefore, there are 931 ÷ 34 = <<27>>27 kids waiting for their turn after all the swing sets are occupied.
    ### Answer: 27

Expected answer: 13

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: John can fill 433/433 = 1 wallet with 1 dollar bill.
    After filling all the wallets, he has 943 - 433 = <<943-433=510>>510 dollars left.
    ### Answer: 510

Expected answer: 77

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The helicopter can carry 177 passengers in one trip, so 240 ÷ 177 = <<240 ÷ 177 ≈ 1.33>>1.33 passengers will be left behind after the first trip.
    ### Answer: 1.33

Expected answer: 63

Correct? No

🔗 Problem

Problem: A gardener has 982 flowers to plant in flowerbeds. Each flowerbed can fit 555 flowers. After filling up as many flowerbeds as possible, how many flowers will the gardener have left to plant?

Gemma 2B:

    Reasoning: The gardener can fill 982 ÷ 555 = <<982 ÷ 555=1.84>>1.84 flowerbeds.
    After filling up all the flowerbeds, the gardener will have 982 - 1.84 = <<982 - 1.84=970.16>>970.16 flowers left to plant.

Expected answer: 427

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: If she divides 203 by 5, she gets 40.6. Since she cannot divide a fraction of a plant, she will have 5 groups with 8 plants each.
    There will be 5 plants remaining if she divides her plants equally.
    ### Answer: 5

Expected answer: 3

Correct? No

🔗 Problem

Problem: A gardener has 355 carrots. He wants to create bundles of 16. After creating as many bundles as he can, how many carrots will he have left?

Gemma 2B:

    Reasoning: He will have 355 ÷ 16 = <<355 ÷ 16=22>>22 carrots left.
    ### Answer: 22

Expected answer: 3

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The total amount of rain was 612 inches, and each day contributed the same amount of rain.
    Therefore, the number of inches of rain left to make the days evenly rainy was also 612 inches.

Expected answer: 3

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each truck can hold 371 boxes, so 514 ÷ 371 = <<514 ÷ 371 ≈ 1.4>>1.4 boxes will be left over.
    ### Answer: 1.4

Expected answer: 143

Correct? No

🔗 Problem

Problem: In a large sandbox, children create 684 sandcastles over the summer. The sandcastles were grouped into sets of 230 for a photography contest. After all the sets were completed, how many sandcastles were left that didn't form a complete set?

Gemma 2B:

    Reasoning: There were 684 ÷ 230 = <<684 ÷ 230=28>>28 sandcastles left that didn't form a complete set.
    ### Answer: 28

Expected answer: 224

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: 735 ÷ 348 = <<735 ÷ 348 ≈ 2>>2 the number of toy cars in each pack.
    There will be 2 full packs and 1 incomplete pack remaining after all the toy cars have been divided equally among packs.
    ### Answer: 256

Expected answer: 39

Correct? No

🔗 Problem

Problem: In a forest, there are 386 animals. Each woodlands territory can support 95 animals. If the existing animals are evenly distributed among the territories, how many animals will be left in the last not fully occupied territory?

Gemma 2B:

    Reasoning: Each territory can support 95 animals, so there are 386/95 = <<4 animals>>4 animals left in the last not fully occupied territory.
    ### Answer: 4

Expected answer: 6

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: 801-646 = <<801-646=155>>155 trees will be left healthy after the disease has affected all possible trees.
    ### Answer: 155

Expected answer: 155

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The last piece will be 934 - 902 = <<934-902=32>>32 meters long.

Expected answer: 32

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: 561 - 550 = <<561-550=11>>11 liters of milk are left over each day after filling the containers.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    Reasoning: 729 - 561 = <<729-561=168>>168 liters of milk would be left over each day after filling the containers.
    ### Answer: 168

Expected answer: 179

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: 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

🔗 Follow-up

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

Gemma 2B:

    Reasoning: Jon would have 259 - 542 = <<259-542=257>>257 pieces left over after finishing as many full puzzles as possible with his 259 pieces.
    ### Answer: 257

Expected answer: 259

Correct? No

🔗 Problem

Problem: A jewelry maker has 673 beads. She plans to use exactly 49 beads for each bracelet. How many beads will she have left after creating as many bracelets as possible with the exact number of beads?

Gemma 2B:

    Reasoning: After creating bracelets, she will have 673 - 49 = <<673-49=624>>624 beads.

Expected answer: 36

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The last operator will handle 927 ÷ 311 = <<927 ÷ 311 ≈ 3>>3 calls.
    Therefore, the last operator will handle 3 calls within a week.

Expected answer: 305

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 764 ÷ 589 = <<764 ÷ 589 ≈ 13>>13 packages of 589 pieces each.
    There are 764 - 13 = <<764 - 13 = 751>>751 pieces left without a package.
    ### Answer: 751

Expected answer: 175

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: After using 217 meters of fabric to make dresses, the dressmaker has 984 - 217 = <<984-217=767>>767 meters of fabric left.

Expected answer: 116

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each campsite will have 374/7 = <<374/7=54>>54 sleeping bags.
    There will be 639 - 54 = <<639-54=585>>585 sleeping bags left.

Expected answer: 265

Correct? No

🔗 Problem

Problem: A pizza restaurant made 620 pizzas today. They package up the pizzas in boxes that hold 578 each for delivery. If the pizzas are evenly distributed into these boxes, how many pizzas will be left over that don't fit into a box?

Gemma 2B:

    Reasoning: 620 ÷ 578 = <<620 ÷ 578 ≈ 10.8>>10.8 pizzas will be left over that don't fit into a box.
    ### Answer: 10.8

Expected answer: 42

Correct? No

🔗 Problem

Problem: A factory made a total of 820 robots. It can store 684 robots in one storage unit. If the robots are evenly stored, how many robots will not fit and remain outside of the storage units?

Gemma 2B:

    Reasoning: 820 - 684 = <<820-684=136>>136 robots will remain outside of the storage units.
    ### Answer: 136

Expected answer: 136

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    Reasoning: 820 - 625 = <<820-625=195>>195 upgraded robots will remain outside of the storage units now.
    ### Answer: 195

Expected answer: 195

Correct? Yes

🔗 Problem

Problem: A cloud changes its shape by reducing its water droplets. Initially, there were 516 droplets in the cloud. If the cloud loses water droplets at an equal rate and becomes entirely dry after every 289 droplets, how many droplets will be left when the cloud is dry after the final cycle?

Gemma 2B:

    Reasoning: After each cycle, the number of droplets decreases by 289. Therefore, there will be 516 - 289 = <<516-289=227>>227 droplets left when the cloud is dry after the final cycle.
    ### Answer: 227

Expected answer: 227

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    Reasoning: After each cycle, the number of droplets decreases by 289. Therefore, there will be 175 - 289 = <<175-289=-114>>-114 droplets left when the cloud is dry after the final cycle.
    ### Answer: -114

Expected answer: 175

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: 330 ÷ 4 = <<330 ÷ 4=82.5>>82.5 boxes will be left unloaded.
    ### Answer: 82.5

Expected answer: 2

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: To find the number of potatoes left, we need to subtract the number of potatoes packed into each crate from the total number of potatoes harvested.
    649 potatoes - 183 potatoes/crate = <<649-183=466>>466 potatoes will be left after all crates are filled to their maximum capacity.

Expected answer: 100

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 258 ÷ 67 = <<258 ÷ 67=4>>4 boxes left with shirts.
    There are 258 - 4 = <<258 - 4=254>>254 shirts left outside the boxes.
    ### Answer: 254

Expected answer: 57

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each pirate will receive 39.5 gold coins, leaving 995-39.5 = <<950>>950 gold coins over.
    ### Answer: 950

Expected answer: 194

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 776 ÷ 375 = <<776 ÷ 375=2>>2 groups of 375 snails. There are 2 snails left in the final group.
    ### Answer: 2

Expected answer: 26

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 589 ÷ 198 = <<589 ÷ 198 ≈ 3>>3 boxes of pillows left over.
    ### Answer: 3

Expected answer: 193

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Each necklace uses 30 beads, so 633 ÷ 30 = <<633 ÷ 30=21>>21 necklaces can be made.
    After making the necklaces, the jewelry maker will have 633 - 21 = <<633 - 21=612>>612 beads left.

Expected answer: 3

Correct? No

🔗 Problem

Problem: John has collected 365 coins. He decided to put equal numbers of them in his 140 wallets. However, he found out he would still have some coins left after evenly distributing them into these wallets. How many coins will John have left?

Gemma 2B:

    Reasoning: John distributed 365 ÷ 140 = <<365 ÷ 140=2.625>>2.625 coins in each wallet.
    Therefore, John will have 365 - 2.625 = <<365 - 2.625=362.375>>362.375 coins left.
    ### Answer: 362.375

Expected answer: 85

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 743 ÷ 451 = <<743 ÷ 451 ≈ 1.6>>1.6 socks left unpacked.
    ### Answer: 1.6

Expected answer: 292

Correct? No

🔗 Problem

Problem: A total of 923 children want to slide down a slide at an amusement park. If 771 children can go down the slide without rest, how many children will be left waiting for their turn?

Gemma 2B:

    Reasoning: 923 children want to slide down the slide, and 771 of them can go down without rest. Therefore, there will be 923 - 771 = <<923-771=152>>152 children waiting for their turn.
    ### Answer: 152

Expected answer: 152

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    ### Answer: 342

Expected answer: 42

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: After the first round, 104 people are saved. After the first round, 442 - 104 = <<442-104=338>>338 people are left in the building.
    ### Answer: 338

Expected answer: 26

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The manufacturer creates 569/68 = <<569/68=8.5>>8.5 packs.
    After creating the packs, the manufacturer will have 569 - 8.5 = <<569-8.5=550.5>>550.5 cards left over.
    ### Answer: 550.5

Expected answer: 25

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The store owner can display 842 ÷ 719 = <<842 ÷ 719 ≈ 12>>12 boxes.
    There will be 842 - 12 = <<842-12=830>>830 erasers left over.
    ### Answer: 830

Expected answer: 123

Correct? No

🔗 Problem

Problem: A farmer harvested 461 carrots from his garden. He packs them into boxes, each box can hold up to 244 carrots. After packing as many full boxes as possible, how many carrots will be left unpacked?

Gemma 2B:

    Reasoning: The farmer packed 461 ÷ 244 = <<461 ÷ 244 ≈ 1.9>>1.9 boxes full.
    There are 1.9 boxes left unpacked, which contains 1.9 × 244 = <<461>>461 carrots.

Expected answer: 217

Correct? No

🔗 Problem

Problem: A penguin scientist counts 309 penguins in a colony. She decides to tag them in groups of 293 for easier tracking. How many penguins will be in the final, possibly incomplete, group?

Gemma 2B:

    Reasoning: There are 309 ÷ 293 = <<309 ÷ 293 ≈ 1>>1 group left over.
    There will be 1 penguin in the final group.

Expected answer: 16

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: After using 18 slices for each batch, there are 580 - 18 = <<580-18=562>>562 slices of bread left.
    ### Answer: 562

Expected answer: 4

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The tailor uses 529/dress meters of fabric for each dress.
    After making dresses, there will be 925 - 529 = <<925-529=496>>496 meters of fabric left over.
    ### Answer: 496

Expected answer: 396

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: There are 976/530 = <<976/530=19>>19 tourists left for the last group of the day.
    ### Answer: 19

Expected answer: 446

Correct? No