🔗 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: 461/2 = <<461/2=230.5>>230.5
    The shark will only be able to eat 230.5 times before the number of fish in the tank is less than 461. 230.5*461 = <<230.5*461=106400.5>>106400.5
    The shark will be able to eat 106400.5 fish before the tank is empty. 535-106400.5 = <<535-106400.5=-103500.5>>-103500.5
    There will be -103500.5 = <<-103500.5=103500.5>>103500.5 fish left in the tank.

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: 186 × 8 = <<186 × 8=1488>>1488. 1488 – 928 = <<1488 – 928=560>>560. 560 ÷ 2 = <<560 ÷ 2=280>>280. 928 – 280 = <<928 – 280=648>>648. 648 is the answer.

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: 975-196*5 = <<975-196*5=75>>75
    ### Answer: 75

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 has 932-3*193 = <<932-3*193= 932-579=353>>353 stones left.
    ### Answer: 353

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: 660/335 = <<660/335=1.96>>1.96. The last tile will need to cover 0.04 square feet.
    ### Answer: 0.04

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:

    |

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: 979-108 = <<979-108=871>>871 cars will be left unpacked at the end of the day.
    ### Answer: 871

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: 994-425 = <<994-425=569>>569 crayons will be left out of the boxes.
    ### Answer: 569

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: 740/696 = <<740/696=1.0588>>1.0588. The last zone will have 1.0588 tigers.

Expected answer: 44

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: 871-575=<<871-575=296>>296 fish are left in the lake after a month.
    ### Answer: 296

Expected answer: 296

Correct? Yes

🔗 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: 891/119 = <<891/119=7.5>>7.5. 7.5 beach balls will not fit in the bag.
    ### Answer: 7.5

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:

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:

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: 759/228 = 3.3
    3.3 people can view the event on the final night.

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: 891/616 = <<891/616=1.44>>1.44. The postman will not be able to put 1.44 letters in the last mailbox. The last mailbox will have 1.44*616= <<1.44*616=888>>888 letters.

Expected answer: 275

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: 941-258 = <<941-258=683>>683
    <<258*3=774>>774
    <<258*2=516>>516
    <<258*1=258>>258
    <<258*0=0>>0
    <<258*-1=-258>>-258
    <<258*-2=-516>>-516
    <<258*-3=-774>>-774
    <<258*-4=-1032>>-1032
    <<258*-5=-1288>>-1288
    <<258*-6=-1544>>-1544
    <<258*-7=-1800>>-1800
    <<258*-8=-2056>>-2056
    <<258*-9=-2312>>-2312
    <<258*-10=-2568>>-2568
    <<258*-11=-2824>>-2824
    <<258*-12=-3080>>-3080
    <<258*-13=-3336>>-3336
    <<258*-14=-3592>>-3592
    <<258*-15=-3848>>-3848
    <<258*-16=-4104>>-4104
    <<258*-17=-4360>>-4360
    <<258*-18=-4616>>-4616
    <<258*-19=-4872>>-4872
    <<258*-20=-5128>>-5128
    <<258*-21=-5384>>-5384
    <<258*-22=-5640>>-5640
    <<258*-23=-5896>>-5896
    <<258*-24=-6152>>-6152
    <<258*-25=-6408>>-6408
    <<258*-26=-6664>>-6664
    <<258*-27=-6920>>-6920
    <<258*-28=-7176>>-7176
    <<258*-29=-7432>>-7432
    <<258*-30=-7687>>-7687
    <<258*-31=-7943>>-7943
    <<258*-32=-8199>>-8199
    <<258*-33=-8455>>-8455
    <<258*-34=-8711>>-8711
    <<258*-35=-8967>>-8967
    <<258*-36=-9224>>-9224
    <<258*-37=-9481>>-9481
    <<258*-38=-9737>>-9737
    <<258*-39=-9993>>-9993
    <<258*-40=-10250>>-10250
    <<258*-41=-10506>>-10506
    <<258*-42=-10762>>-10762
    <<258*-43=-11018>>-11018
    <<258*-44=-11274>>-11274
    <<258*-45=-11530>>-11530
    <<258*-46=-11786>>-11786
    <<258*-47=-12142>>-12142
    <<258*-48=-12498>>-12498
    <<258*-49=-12854>>-12854
    <<258*-50=-13210>>-13210
    <<258*-51=-13666>>-13666
    <<258*-52=-14122>>-14122
    <<258*-53=-14579>>-14579
    <<258*-54=-15035>>-15035
    <<258*-55=-15491>>-15491
    <<258*-56=-15947>>-15947
    <<258*-57=-16403>>-16403
    <<258*-58=-16859>>-16859
    <<258*-59=-17315>>-17315
    <<258*-60=-17771>>-17771
    <<258*-61=-18227>>-18227
    <<258*-62=-18683>>-18683
    <<258*-63=-19139>>-19139
    <<258*-64=-19595>>-19595
    <<258*-65=-20051>>-20051
    <<258*-66=-20507>>-20507
    <<258*-67=-20964>>-20964
    <<258*-68=-21420>>-21420
    <<258*-69=-21876>>-21876
    <<258*-70=-22333>>-22333
    <<258*-71=-22789>>-22789
    <<258*-72=-23245>>-23245
    <<258*-73>-23801>>-23801
    <<258*-

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: 991/66 = <<991/66=15.

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=1.15751497>>1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.

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: 996/319 = <<996/319=3.12>>3.12. 3.12 eggs would be left over to be put in the last row.
    ### Answer: 3.12

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: 691/205 = 3.3. 3.3 is not a whole number. Therefore, 3 packs can be filled. 691-3*205 = 691-615 = 76. 76 is the number of bulbs that are left.
    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 739/205 = 3.6. 3.6 is not a whole number. Therefore, 3 packs can be filled. 739-3*205 = 739-615 = 124. 124 is the number of bulbs that are left.
    ### Answer: 124

Expected answer: 124

Correct? Yes

🔗 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: 330/259 = <<330/259=1.27>>1.27. 1.27 is not a whole number. 1.27 bales of hay will be left for the last barn.
    ### Answer: 1.27

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: 1 installation team can install 137 windows per day. 1 installation team can install 137/2 = <<137/2=68.5>>68.5 windows in a half day.
    The number of windows to be installed is 166. 166-68.5 = <<166-68.5=97.5>>97.5 windows will remain for the next day.
    ### Answer: 97.5

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: 533/445 = <<533/445=1.19>>1.19. 1.19*1 = 1.19. 1.19-1 = 0.19. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 = 85.55. 0.19*445 =

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: 999-474 = <<999-474=525>>525
    ### Answer: 525

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: 366/160 = <<366/160=2.3125>>2.3125
    2.3125*160 = <<2.3125*160=370>>370
    370-366 = <<370-366=4>>4
    ### Answer: 4

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:

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: 964-839 = <<964-839=125>>125 stuffed animals will be left over.
    ### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 964-892 = <<964-892=72>>72 stuffed animals will be left over.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 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:

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:

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=4>>4 rings are left over.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 843-804 = <<843-804=39>>39 rings are left over.
    ### Answer: 39

Expected answer: 39

Correct? Yes

🔗 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:

Expected answer: 236

Correct? No

🔗 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: 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: 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: 984/426 = <<984/426=2.3>>2.3. 2.3 is not a whole number. Therefore, 2.3 is not a valid answer. 984/426 = 2.3. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1

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: 23*<<13/23=0.57142857142857142857142857142857>>13/23 = <<23*0.57142857142857142857142857142857=13.0>>13.0
    The song has 13.0 words in the incomplete line at the end of the song.

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:

    |
    |user| 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?

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: 972-667 = <<972-667=305>>305 sharks are left untagged.

Expected answer: 305

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 758-667 = <<758-667=91>>91 sharks are left untagged.

Expected answer: 91

Correct? Yes

🔗 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: 686/349 = <<686/349=1.97>>1.97. 1.97 is not a whole number, so there is 1 block of cheese left over.
    ### Answer: 1

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: 513-170 = <<513-170=343>>343
    ### Answer: 343

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 can install 661/510 = <<661/510=1.30196078>>1.30196078 compasses.
    1.30196078 is not a whole number, so the compass maker can install 1 full compass and 0.30196078 compasses.
    0.30196078 compasses = 0.30196078 × 510 = <<0.30196078 × 510=153.01008>>153.01008 needles.
    The compass maker will have 661 – 1 × 510 – 153.01008 = <<661 – 1 × 510 – 153.01008=0.89992>>0.89992 needles left.
    ### Answer: 0.89992

Expected answer: 151

Correct? No

🔗 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: 380/3 = <<380/3=126>>126
    The factory will have 380-3*126 = <<380-3*126=8>>8 chairs left.
    ### Answer: 8

Expected answer: 70

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: 929-154 = <<929-154=775>>775
    ### Answer: 775

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: 454/128 = <<454/128=3.5>>3.5. 3.5 is not a whole number, so 3.5 pairs of skates will be left over.

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: 385 is 506/1.3. The windmill generates 1.3 times as many units of power as the village consumes.

Expected answer: 121

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: Blast Man has 338-16 = <<338-16=322>>322 energy units in his power cells after using 16 energy units to fire a blast.
    Blast Man has 338-32 = <<338-32=306>>306 energy units in his power cells after using 32 energy units to fire 2 blasts.
    Blast Man has 338-48 = <<338-48=290>>290 energy units in his power cells after using 48 energy units to fire 3 blasts.
    Blast Man has 338-64 = <<338-64=274>>274 energy units in his power cells after using 64 energy units to fire 4 blasts.
    Blast Man has 338-80 = <<338-80=258>>258 energy units in his power cells after using 80 energy units to fire 5 blasts.
    Blast Man has 338-96 = <<338-96=242>>242 energy units in his power cells after using 96 energy units to fire 6 blasts.
    Blast Man has 338-112 = <<338-112=226>>226 energy units in his power cells after using 112 energy units to fire 7 blasts.
    Blast Man has 338-128 = <<338-128=210>>210 energy units in his power cells after using 128 energy units to fire 8 blasts.
    Blast Man has 338-144 = <<338-144=194>>194 energy units in his power cells after using 144 energy units to fire 9 blasts.
    Blast Man has 338-160 = <<338-160=178>>178 energy units in his power cells after using 160 energy units to fire 10 blasts.
    Blast Man has 338-176 = <<338-176=162>>162 energy units in his power cells after using 176 energy units to fire 11 blasts.
    Blast Man has 338-192 = <<338-192=146>>146 energy units in his power cells after using 192 energy units to fire 12 blasts.
    Blast Man has 338-208 = <<338-208=130>>130 energy units in his power cells after using 208 energy units to fire 13 blasts.
    Blast Man has 338-224 = <<338-224=114>>114 energy units in his power cells after using 224 energy units to fire 14 blasts.
    Blast Man has 338-240 = <<338-240=98>>98 energy units in his power cells after using 240 energy units to fire 15 blasts.
    Blast Man has 338-256 = <<338-256=82>>82 energy units in his power cells after using 256 energy units to fire 16 blasts.
    Blast Man has 338-272 = <<338-272=66>>66 energy units in his power cells after using 272 energy units to fire 17 blasts.
    Blast Man has 338-288 = <<338-288=50>>50 energy units in his power cells after using 288 energy units to fire 18 blasts.
    Blast Man has 338-304 = <<338-304=34>>34 energy units in his power cells after using 304 energy units to fire 19 blasts.
    Blast Man has 338-320 = <<338-320=18>>18 energy units in his power cells after using 320 energy units to fire 20 blasts.
    Blast Man has 338-336 = <<338-336=2>>2 energy units in his power cells after using 336 energy units to fire 21 blasts.
    Blast Man has 0 <<338-352=0>>energy units in his power cells after using 352 energy units to fire 22 blasts.
    ### Answer: 0

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: 144 is the greatest number of students that can be on a school bus. 530/144 = <<530/144=3.

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: 999/951 = <<999/951=1.0484...>>1.0484... is not a whole number. 1.0484...-1 = <<1.0484...-1=0.0484...>>0.0484... is the remainder. 0.0484...*999 = <<0.0484...*999=49>>49. The wizard will have 49 spells left.

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: 767-369 = <<767-369=398>>398 scooters will be left after all the trucks are loaded.
    ### Answer: 398

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: 846/722 = <<846/722=1.1664>>1.1664
    1.1664 × 1000 = <<1.1664*1000=1164>>1164
    ### Answer: 1164

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: 146/2 = <<146/2=73>>73 unicorns will live in the last incomplete section.
    ### Answer: 73

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: 923-383 = 540
    ### 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: 499 is 3 less than 500, so 3 cannonballs will be left uncrated.
    ### Answer: 3

Expected answer: 424

Correct? No

🔗 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:

Expected answer: 12

Correct? No

🔗 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: 913-3*39 = <<913-3*39=0>>0
    ### Answer: 0

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: 603-369 = <<603-369=234>>234
    ### Answer: 234

Expected answer: 234

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 44-369 = <<44-369=-325>>-325
    ### Answer: -325

Expected answer: 44

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: The jewelry maker can make 850/631 = <<850/631=1.35>>1.35 necklaces. 1.35 is not a whole number, so the jewelry maker can't make 1.35 necklaces. The jewelry maker can only make 1 necklace. The jewelry maker will have 850-631 = <<850-631=219>>219 beads left over.
    ### Answer: 219

Expected answer: 219

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

     Reasoning: The jewelry maker can make 850/150 = <<850/150=5.6>>5.6 necklaces. 5.6 is not a whole number, so the jewelry maker can't make 5.6 necklaces. The jewelry maker can only make 5 necklaces. The jewelry maker will have 850-5*150 = <<850-5*150=0>>0 beads left over.
    ### Answer: 0

Expected answer: 100

Correct? No

🔗 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: 952/380 = <<952/380=2.5>>2.5
    The gardener can fill 2 whole boxes, and 3/8 of a box. 3/8 of a box = 3/8 × 380 = 114.5 grapes.
    952 – 2 × 380 – 114.5 = 0.5
    The gardener will have 0.5 grapes left.
    ### Answer: 0.5

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: 236/44 = <<236/44=5.40909>>5.4
    The number of significant places or clues is 5.4, and the number of steps that are left is 236 – 5.4 = 230.6
    ### Answer: 230.6

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: 932/507 = 1.8333
    1.8333*507 = 933.8
    ### Answer: 933.8

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: 931/34 = <<931/34=27.5>>27.5. 27.5 is not a whole number, so 27.5 is not a valid answer. 27.5 is a number of kids that are waiting for their turn after all the swing sets are occupied.
    ### Answer: 27.5

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 use 2 <<2*433=866>>866 wallets, and he will have 77 dollar bills left.
    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: John can use 1 <<1*433=433>>433 wallet, and he will have 53 dollar bills left.
    ### Answer: 53

Expected answer: 153

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: 240-177 = <<240-177=63>>63 passengers will be left behind after the first full trip.
    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 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: 982/555 = <<982/555=1.

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: 203/5 = <<203/5=40.6>>40.6. 0.6*5 = <<0.6*5=3>>3. 203-3 = <<203-3=200>>200. ### Answer: 200

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:

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: 29 is 1 more than 28. 612 is 1 more than 611. 1/28 = <<1/28=0.035714285714285714285714285714286>>0.035714285714285714285714285714286. 0.035714285714285714285714285714286*611 = <<0.035714285714285714285714285714286*611=21.

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: 514-371 = <<514-371=143>>143
    ### Answer: 143

Expected answer: 143

Correct? Yes

🔗 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: 684-230 = <<684-230=454>>454 sandcastles were left that didn't form a complete set.
    ### Answer: 454

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=2.12018>>2.12018. 735/348 = 2.12018, so 0.12018*348 = <<0.12018*348=0.12018*348=44.8>>44.8. 44.8 is the number of cars that are left over.
    ### Answer: 44.8

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: 386/95 = 4.1, so 4 territories are fully occupied. 386-4*95 = 1, so 1 territory is not fully occupied. 1-95 = 94, so 94 animals are left in the last not fully occupied territory.
    ### Answer: 94

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 are likely to stay healthy after the tree disease has spread.
    ### 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:

Expected answer: 32

Correct? No

🔗 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.

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: 729-550 = <<729-550=179>>179.

Expected answer: 179

Correct? Yes

🔗 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: 259-258 = <<259-258=1>>1. There is 1 left over.

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: 259-542 = <<259-542=-283>>-283. There is 283 left over.

Expected answer: 259

Correct? Yes

🔗 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: 673/49 = <<673/49=13.67>>13.67. The jewelry maker can make 13 bracelets. 673-13x49 = 673-637 = <<673-637=36>>36. The jewelry maker will have 36 beads left.

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: 311 operators can handle 311*7 = <<311*7=2177>>2177 calls in a week. The last operator will handle 9-2177 = <<9-2177=0>>0 calls.
    ### Answer: 0

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: John has 764-589 = <<764-589=175>>175 pieces that are not in a package.
    ### Answer: 175

Expected answer: 175

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 404-589 = <<404-589=-185>>-185
    John will have 185 extra pieces that are not in a package.
    ### Answer: 185

Expected answer: 404

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: 984/217 = 4.5. The dressmaker can make 4 dresses. 4*217= <<4*217=858>>858 meters of fabric will be 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: 639-374 = <<639-374=265>>265 sleeping bags will be left.
    ### Answer: 265

Expected answer: 265

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 613-374 = <<613-374=239>>239 sleeping bags will be left.
    ### Answer: 239

Expected answer: 239

Correct? Yes

🔗 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=42>>42
    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 694-578 = <<694-578=116>>116
    ### Answer: 116

Expected answer: 116

Correct? Yes

🔗 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:

     You can do this problem by using division. 820/684 = <<820/684=1.2>>1.2. 1.2 is the number of storage units that the 820 robots can be stored in. 1.2*684 = <<1.2*684=792>>792. 820-792 = <<820-792=28>>28. 28 robots will not fit in the storage units.

Expected answer: 136

Correct? No

🔗 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: The number of droplets in the cloud after the first cycle is 516-289=227.
    The number of droplets in the cloud after the second cycle is 227-289=38.
    The number of droplets in the cloud after the third cycle is 38-289=-251. -251 is not a valid number of droplets. The number of droplets in the cloud after the third cycle is 0.
    The number of droplets in the cloud after the final cycle is 0.
    ### Answer: 0

Expected answer: 227

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:

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: 649/183 = 3.5. 3.5 is not a whole number, so 3.5 crates will be filled. 649-3.5*183 = 649-630 = 19. 19 potatoes will be left after all crates are filled to their maximum capacity.
    ### Answer: 19

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: 258/67 = 3.8. The number of boxes is 3. The number of shirts left is 258-3*67= <<258-3*67= 8>>8.
    ### Answer: 8

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: 267 × 4 = <<267 × 4=1068>>1068. 995 − 1068 = − <<995 − 1068= −73>>73. 73 is 3 more than 70. 3 is 1 more than 2. 2 is 1 more than 1. 1 is 0 more than 1. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is 0 more than 0. 0 is

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: 776-375 = <<776-375=401>>401.

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: 589-198 = <<589-198=391>>391.

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: 633/30 = <<633/30=21.1>>21.1
    Natalia can make 21 necklaces.
    633-30*21 = 633-630 = 3
    Natalia will have 3 beads left.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 588/30 = <<588/30=19.6>>19.6
    Natalia can make 19 necklaces.
    588-30*19 = 588-570 = 18
    Natalia will have 18 beads left.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 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 has 140 wallets. He can put 365/140 = <<365/140=2.60>>2.60 coins in each wallet. He will have 365-2.60.140 = <<365-2.60.140= 0.4>>0.4 coins left.
    ### Answer: 0.4

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: 743-<<451*2=902>>902 = 741
    ### Answer: 741

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: 923-771 = <<923-771=152>>152
    ### 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:

      Reasoning: 923-881 = <<923-881=42>>42
    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 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: Iron Punch can save 104/104 = <<104/104=1>>1 people at a time.
    He can save 104*3 = <<104*3=312>>312 people in 3 rounds of rescues.
    He can save 104*4 = <<104*4=416>>416 people in 4 rounds of rescues.
    He can save 104*5 = <<104*5=520>>520 people in 5 rounds of rescues.
    He can save 104*6 = <<104*6=624>>624 people in 6 rounds of rescues.
    He can save 104*7 = <<104*7=728>>728 people in 7 rounds of rescues.
    He can save 104*8 = <<104*8=832>>832 people in 8 rounds of rescues.
    He can save 104*9 = <<104*9=936>>936 people in 9 rounds of rescues.
    He can save 104*10 = <<104*10=1040>>1040 people in 10 rounds of rescues.
    He can save 104*11 = <<104*11=1144>>1144 people in 11 rounds of rescues.
    He can save 104*12 = <<104*12=1248>>1248 people in 12 rounds of rescues.
    He can save 104*13 = <<104*13=1352>>1352 people in 13 rounds of rescues.
    He can save 104*14 = <<104*14=1456>>1456 people in 14 rounds of rescues.
    He can save 104*15 = <<104*15=1560>>1560 people in 15 rounds of rescues.
    He can save 104*16 = <<104*16=1664>>1664 people in 16 rounds of rescues.
    He can save 104*17 = <<104*17=1768>>1768 people in 17 rounds of rescues.
    He can save 104*18 = <<104*18=1872>>1872 people in 18 rounds of rescues.
    He can save 104*19 = <<104*19=1980>>1980 people in 19 rounds of rescues.
    He can save 104*20 = <<104*20=2000>>2000 people in 20 rounds of rescues.
    He can save 104*21 = <<104*21=2104>>2104 people in 21 rounds of rescues.
    He can save 104*22 = <<104*22=2208>>2208 people in 22 rounds of rescues.
    He can save 104*23 = <<104*23=2312>>2312 people in 23 rounds of rescues.
    He can save 104*24 = <<104*24=2416>>2416 people in 24 rounds of rescues.
    He can save 104*25 = <<104*25=2520>>2520 people in 25 rounds of rescues.
    He can save 104*26 = <<104*26=2624>>2624 people in 26 rounds of rescues.
    He can save 104*27 = <<104*27=2728>>2728 people in 27 rounds of rescues.
    He can save 104*28 = <<104*28=2832>>2832 people in 28 rounds of rescues.
    He can save 104*29 = <<104*29=2936>>2936 people in 29 rounds of rescues.
    He can save 104*30 = <<104*30=3040>>3040 people in 30 rounds of rescues.
    He can save 104*31 = <<104*31=3144>>3144 people in 31 rounds of rescues.
    He can save 104*32 = <<104*32=3248>>3248 people in 32 rounds of rescues.
    He can save 104*33 = <<104*33=3352>>3352 people in 33 rounds of rescues.
    He can save 104*34 = <<104*34=3456>>3456 people in 34 rounds of rescues.
    He can save 104*35 = <<104*35=3560>>3560 people in 35 rounds of rescues.
    He can save 104*36 = <<104*36=3664>>3664 people in 36 rounds of rescues.
    He can save 104*37 = <<104*37=3768>>3768 people in 37 rounds of rescues.
    He can save 104*38 = <<104*38=3872>>3872 people in 38 rounds of rescues.
    He can save 104*39 = <<104*39=3976>>39

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: 569-68 = <<569-68=501>>501
    ### Answer: 501

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:

    |
    |assistant| Reasoning: 842-719 = <<842-719=123>>123 erasers will be left over.

Expected answer: 123

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

     Reasoning: 842-420 = <<842-420=422>>422 erasers will be left over.

Expected answer: 2

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: 461-<<244*2=488>>2*244= <<461-488=73>>73 carrots will be left unpacked.
    ### Answer: 73

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: 309-293 = <<309-293=16>>16
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

      Reasoning: 262-16 = <<262-16=246>>246
    ### Answer: 246

Expected answer: 47

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: 580/18 = <<580/18=32.222222222222>>32.2 slices of bread are left.
    ### Answer: 32.2

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: 529/925 = <<529/925=0.57>>0.57. The tailor will be left with 0.57*925 = <<0.57*925=0.57*925=525.25>>525.25 meters of fabric.
    ### Answer: 525.25

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: 976-3*530 = <<976-3*530= 976-1590= 386>>386
    ### Answer: 386

Expected answer: 446

Correct? No