InternLM-Math Base 7B on 4.NBT.B.6
Common Core Standard 4.NBT.B.6
This standard covers the following:
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: There are 535 fish in a large tank and a shark eats 461 of them in one sitting. If the shark continues this pattern and only eats when there are 461 or more fish to consume, how many fish will be leftover after its dinner?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 975-196*5 = <<975-196*5=75>>75 ### Answer: 75
Expected answer: 191
Correct? No
Problem: A wizard casts a spell to summon 932 magical stones. Each powerful creature he summons requires 193 stones. After summoning several creatures, how many stones will the wizard have left?
InternLM-Math Base 7B:
Reasoning: The wizard has 932-3*193 = <<932-3*193= 932-579=353>>353 stones left. ### Answer: 353
Expected answer: 160
Correct? No
Problem: A builder has a job to install 660 square foot tiles in a house. Each tile can cover 335 square feet. After installing tiles evenly across the available space, how many square feet will the last tile need to cover?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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Expected answer: 11
Correct? No
Problem: A toy factory produced 979 toy cars in a day. If they packed these cars into boxes, each containing 108 cars, how many toy cars will be left unpacked at the end of the day?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 994-425 = <<994-425=569>>569 crayons will be left out of the boxes. ### Answer: 569
Expected answer: 144
Correct? No
Problem: A wildlife reserve has 740 tigers. The reserve is divided into different zones, and each zone can only hold up to 696 tigers. If tigers are distributed evenly among the zones, how many tigers will be left in the last zone?
InternLM-Math Base 7B:
Reasoning: 740/696 = <<740/696=1.0588>>1.0588. The last zone will have 1.0588 tigers.
Expected answer: 44
Correct? No
Problem: A hat shop makes 830 hats every week. In order to make special edition boxes, the shop plans to put 421 hats in each box. If all the hats are evenly distributed among the boxes, how many hats will be left over?
InternLM-Math Base 7B:
Reasoning: 830-421 = <<830-421=409>>409 hats will be left over. ### Answer: 409
Expected answer: 409
Correct? Yes
Problem: There are 871 fish in a lake. A fisherman catches 575 fish every month. If the fish repopulate at the same rate that the fisherman is depleting them, how many fish will be left after a month?
InternLM-Math Base 7B:
Reasoning: 871-575=<<871-575=296>>296 fish are left in the lake after a month. ### Answer: 296
Expected answer: 296
Correct? Yes
Problem: There are 891 beach balls, and every beach bag can fit 119 beach balls. If all the beach balls are evenly placed into the bags, how many beach balls will not fit and left over?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Expected answer: 98
Correct? No
Problem: A manufacturer produces 805 socks in one shift. They are packaged into sets of 132 each. After the packaging, how many socks will remain unpackaged?
InternLM-Math Base 7B:
Expected answer: 13
Correct? No
Problem: An astronomy club has 759 members that want to view a rare celestial event through their club's telescope. However, the telescope can only handle 228 people viewing the event each night. If they distribute the viewing evenings evenly amongst all members, how many people will view the event on the final night?
InternLM-Math Base 7B:
Reasoning: 759/228 = 3.3 3.3 people can view the event on the final night.
Expected answer: 75
Correct? No
Problem: A postman has to deliver 891 letters. Each mailbox can only hold 616 letters. If he puts equal numbers of letters in each mailbox, how many letters will remain in the last mailbox?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 991/66 = <<991/66=15.16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Expected answer: 1
Correct? No
Problem: There are 193 liters of water that need to be divided evenly among 167 water bottles. If each bottle holds the same amount of water, how many liters overflows and can't be distributed to the bottles?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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
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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 999-474 = <<999-474=525>>525 ### Answer: 525
Expected answer: 51
Correct? No
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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Expected answer: 12
Correct? No
Problem: A child has 964 stuffed animals that they want to divide equally among their 839 friends. If they distribute the stuffed animals evenly, how many will the child have left over?
InternLM-Math Base 7B:
Reasoning: 964-839 = <<964-839=125>>125 stuffed animals will be left over. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: The child from the previous problem has gotten even more stuffed animals and now has a total of 964 stuffed animals. If they still want to divide them equally among their 892 friends, how many stuffed animals will be left over after distributing them?
InternLM-Math Base 7B:
Reasoning: 964-892 = <<964-892=72>>72 stuffed animals will be left over. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A toy factory produces 369 teddy bears in a day. The bears are packaged in boxes and each box can hold 270 teddy bears. How many teddy bears will be left if all the teddy bears are evenly packed in the boxes?
InternLM-Math Base 7B:
Expected answer: 99
Correct? No
Problem: A village has a yearly tradition of building snowmen. This year, the villagers make 804 snowballs to build their snowmen. Each snowman needs exactly 184 snowballs. After all snowmen are built, how many snowballs are left leftover?
InternLM-Math Base 7B:
Expected answer: 68
Correct? No
Problem: A jewelry store has 843 rings to be placed equally into 839 boxes. If each box is filled, how many rings will be left over?
InternLM-Math Base 7B:
Reasoning: 843-839 = <<843-839=4>>4 rings are left over. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: The jewelry store just received an additional shipment and now has a total of 843 rings. However, this time they must be equally placed into 804 boxes. If every box is filled, how many rings will be left over now?
InternLM-Math Base 7B:
Reasoning: 843-804 = <<843-804=39>>39 rings are left over. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: A fireplace manufacturing company has 819 bricks to build fireplaces, and each fireplace requires 583 bricks. If they build as many fireplaces as possible, how many bricks will they have left over?
InternLM-Math Base 7B:
Expected answer: 236
Correct? No
Problem: A marshmallow factory produces 998 marshmallows per minute. However, the packaging machine can only hold 957 marshmallows at a time. What will be the number of marshmallows left un-packaged in a minute after all the packaging machines are filled?
InternLM-Math Base 7B:
Reasoning: 998-957 = <<998-957=41>>41 ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: The marshmallow factory upgraded its packaging machine and now it can hold 804 marshmallows at a time instead of 957. If the factory continues to produce 998 marshmallows per minute, what will be the number of marshmallows left un-packaged in a minute after all the packaging machines are filled with the new capacity?
InternLM-Math Base 7B:
Reasoning: 998-804 = <<998-804=194>>194 ### Answer: 194
Expected answer: 194
Correct? Yes
Problem: There are 984 roses in the castle's garden. Princess likes to place 426 roses in every tribute for her loyal subjects. If she distributes roses evenly to create as many tributes as possible, how many roses will be left undistributed in the castle's garden?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
| |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: 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?
InternLM-Math Base 7B:
Reasoning: 972-667 = <<972-667=305>>305 sharks are left untagged.
Expected answer: 305
Correct? Yes
Problem: Following up on the previous question, the scientists later spotted a new group of 758 sharks in a different area. Again, they were trying to tag the sharks in groups of 667. How many sharks were left untagged after all complete groups have been tagged in this new area?
InternLM-Math Base 7B:
Reasoning: 758-667 = <<758-667=91>>91 sharks are left untagged.
Expected answer: 91
Correct? Yes
Problem: There are 686 blocks of cheese in the dairy shop. Each box can contain 349 blocks of cheese. If all the blocks of cheese are evenly distributed in the boxes, how many blocks of cheese would be left over after all the boxes are filled?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 513-170 = <<513-170=343>>343 ### Answer: 343
Expected answer: 3
Correct? No
Problem: A compass maker has 661 needles to install in compasses. Each compass uses 510 needles. After installing as many full compasses as he can, how many needles will the compass maker have left?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 929-154 = <<929-154=775>>775 ### Answer: 775
Expected answer: 5
Correct? No
Problem: A sporting goods store has 454 pairs of ice skates in total. The store distributes the skates evenly among 128 boxes. How many pairs of ice skates will be left over after all the boxes are filled up equally?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 144 is the greatest number of students that can be on a school bus. 530/144 = <<530/144=3.702727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727
Expected answer: 98
Correct? No
Problem: A wizard has 999 spells in his book. He tries to distribute them equally among 951 apprentice wizards but they don't divide evenly. How many spells will the wizard have left after giving out as many as he can to his apprentices?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 146/2 = <<146/2=73>>73 unicorns will live in the last incomplete section. ### Answer: 73
Expected answer: 119
Correct? No
Problem: In a game, there are 923 players waiting to enter a match. Only 383 players can enter a match at a time. If players enter matches evenly, how many players will be left waiting after filling all the matches?
InternLM-Math Base 7B:
Reasoning: 923-383 = 540 ### Answer: 540
Expected answer: 157
Correct? No
Problem: A pirate ship has 923 cannonballs on board. They want to equally disperse them between 499 different crates. After evenly distributing them as much as possible, how many cannonballs will be left uncrated?
InternLM-Math Base 7B:
Reasoning: 499 is 3 less than 500, so 3 cannonballs will be left uncrated. ### Answer: 3
Expected answer: 424
Correct? No
Problem: A kite store has 530 string spools to attach to their kites. They distribute them to 518 kites, each getting one string spool. After each kite gets a spool, how many spools are left in the store?
InternLM-Math Base 7B:
Expected answer: 12
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 913-3*39 = <<913-3*39=0>>0 ### Answer: 0
Expected answer: 16
Correct? No
Problem: A doll seller received a shipment of 603 new dolls to put on the shelves. She arranged all the dolls in rows, with 369 dolls in each row. After filling up the rows as much as possible, how many dolls were left unarranged?
InternLM-Math Base 7B:
Reasoning: 603-369 = <<603-369=234>>234 ### Answer: 234
Expected answer: 234
Correct? Yes
Problem: In the previous doll problem, if the doll seller initially received a shipment of 44 new dolls instead of 603, and still arranged them in rows of 369 dolls, how many dolls would be left unarranged after filling up the rows as much as possible?
InternLM-Math Base 7B:
Reasoning: 44-369 = <<44-369=-325>>-325 ### Answer: -325
Expected answer: 44
Correct? No
Problem: A jewelry maker has 850 beads to make necklaces. They use 631 beads for each necklace. After using as many beads as possible, how many beads will the jewelry maker have left over?
InternLM-Math Base 7B:
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
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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 932/507 = 1.8333 1.8333*507 = 933.8 ### Answer: 933.8
Expected answer: 425
Correct? No
Problem: At the park, there are 931 kids who want to use the swings. Each swing set can accommodate 34 kids at a time. If all the swing sets are filled continuously, how many kids will be waiting for their turn after all the swing sets are occupied?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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
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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 982/555 = <<982/555=1.77272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727
Expected answer: 427
Correct? No
Problem: A farmer grows 203 strawberry plants. She wants to divide her plants into groups of 5 to sell. How many plants will be remaining if she divides them equally?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Expected answer: 3
Correct? No
Problem: A total rainfall of 612 inches fell over a certain city in 29 consecutive days. If the rain fell in the same amount every day, how many inches of rain would be left to make the days evenly rainy?
InternLM-Math Base 7B:
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=21.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
Expected answer: 3
Correct? No
Problem: A truck company has got 514 boxes for delivery. Each truck can hold up to 371 boxes. If each truck is loaded to its full capacity, how many boxes will be left over?
InternLM-Math Base 7B:
Reasoning: 514-371 = <<514-371=143>>143 ### Answer: 143
Expected answer: 143
Correct? Yes
Problem: In a large sandbox, children create 684 sandcastles over the summer. The sandcastles were grouped into sets of 230 for a photography contest. After all the sets were completed, how many sandcastles were left that didn't form a complete set?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Expected answer: 32
Correct? No
Problem: A dairy farm produces 561 liters of milk each day. The milk is packaged into 550-liter containers. How many liters of milk are left over each day after filling the containers?
InternLM-Math Base 7B:
Reasoning: 561-550 = <<561-550=11>>11.
Expected answer: 11
Correct? Yes
Problem: If the dairy farm increased its production and started producing 729 liters of milk each day instead of 561 liters, how many liters of milk would be left over each day after filling the 550-liter containers?
InternLM-Math Base 7B:
Reasoning: 729-550 = <<729-550=179>>179.
Expected answer: 179
Correct? Yes
Problem: Jon has 259 puzzle pieces. If each puzzle requires 258 pieces, how many pieces will be left over once he completes a full puzzle?
InternLM-Math Base 7B:
Reasoning: 259-258 = <<259-258=1>>1. There is 1 left over.
Expected answer: 1
Correct? Yes
Problem: In the previous problem, Jon had 259 puzzle pieces and each puzzle requires 258 pieces. Suppose instead each puzzle needs 542 pieces. How many pieces would Jon have left over after finishing as many full puzzles as possible with his 259 pieces?
InternLM-Math Base 7B:
Reasoning: 259-542 = <<259-542=-283>>-283. There is 283 left over.
Expected answer: 259
Correct? Yes
Problem: A jewelry maker has 673 beads. She plans to use exactly 49 beads for each bracelet. How many beads will she have left after creating as many bracelets as possible with the exact number of beads?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: John has 764-589 = <<764-589=175>>175 pieces that are not in a package. ### Answer: 175
Expected answer: 175
Correct? Yes
Problem: If John had originally only 404 puzzle pieces, and each package can still only contain 589, how many pieces will be left outside the package now?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 639-374 = <<639-374=265>>265 sleeping bags will be left. ### Answer: 265
Expected answer: 265
Correct? Yes
Problem: The same company from our previous question receives an updated request for sleeping bags. Now instead of 639, they only need to donate 613. If each campsite is still supplied with 374 sleeping bags, how many sleeping bags will be left after all the campsites are filled?
InternLM-Math Base 7B:
Reasoning: 613-374 = <<613-374=239>>239 sleeping bags will be left. ### Answer: 239
Expected answer: 239
Correct? Yes
Problem: A pizza restaurant made 620 pizzas today. They package up the pizzas in boxes that hold 578 each for delivery. If the pizzas are evenly distributed into these boxes, how many pizzas will be left over that don't fit into a box?
InternLM-Math Base 7B:
Reasoning: 620-578 = <<620-578=42>>42 ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: The owner of the pizza restaurant decides to make 74 more pizzas tomorrow, bringing the total to 694 pizzas. If they are again distributed into boxes that hold 578 pizzas each, how many pizzas will be left out without a box this time?
InternLM-Math Base 7B:
Reasoning: 694-578 = <<694-578=116>>116 ### Answer: 116
Expected answer: 116
Correct? Yes
Problem: A factory made a total of 820 robots. It can store 684 robots in one storage unit. If the robots are evenly stored, how many robots will not fit and remain outside of the storage units?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Expected answer: 2
Correct? No
Problem: A farmer harvested 649 potatoes this season. He decides to pack them into crates each containing 183 potatoes. How many potatoes will be left after all crates are filled to their maximum capacity?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 776-375 = <<776-375=401>>401.
Expected answer: 26
Correct? No
Problem: A pillow factory produces 589 pillows per day. They package these pillows in boxes, and each box holds 198 pillows. If they pack as many full boxes as possible, how many pillows will be left outside the boxes at the end of the day?
InternLM-Math Base 7B:
Reasoning: 589-198 = <<589-198=391>>391.
Expected answer: 193
Correct? No
Problem: A jewelry maker has 633 beads. If she uses beads to make necklaces, with each necklace using exactly 30 beads, how many beads will she have left after making as many necklaces as she can?
InternLM-Math Base 7B:
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
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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 743-<<451*2=902>>902 = 741 ### Answer: 741
Expected answer: 292
Correct? No
Problem: A total of 923 children want to slide down a slide at an amusement park. If 771 children can go down the slide without rest, how many children will be left waiting for their turn?
InternLM-Math Base 7B:
Reasoning: 923-771 = <<923-771=152>>152 ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: After the first 771 children go down the slide, another wave of children arrives and now there are 923 children in total waiting again. If 881 children can go down the slide without any break this time, how many children will be left waiting for their turn?
InternLM-Math Base 7B:
Reasoning: 923-881 = <<923-881=42>>42 ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Superhero Iron Punch has to save 442 people from a collapsing building. He can teleport a maximum of 104 people at a time to safety. After teleporting as many full groups as he can, how many people will be left in the building for his last round of rescue?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 569-68 = <<569-68=501>>501 ### Answer: 501
Expected answer: 25
Correct? No
Problem: A stationery store received a shipment of 842 erasers. The store owner wants to display them in boxes, with each box containing 719 erasers. After filling as many boxes as possible, how many erasers will be left over?
InternLM-Math Base 7B:
| |assistant| Reasoning: 842-719 = <<842-719=123>>123 erasers will be left over.
Expected answer: 123
Correct? Yes
Problem: Suppose the stationery store owner later decided to display the erasers in smaller boxes, with each box containing 420 erasers instead. After filling as many boxes as possible, how many erasers will be left over now?
InternLM-Math Base 7B:
Reasoning: 842-420 = <<842-420=422>>422 erasers will be left over.
Expected answer: 2
Correct? No
Problem: A farmer harvested 461 carrots from his garden. He packs them into boxes, each box can hold up to 244 carrots. After packing as many full boxes as possible, how many carrots will be left unpacked?
InternLM-Math Base 7B:
Reasoning: 461-<<244*2=488>>2*244= <<461-488=73>>73 carrots will be left unpacked. ### Answer: 73
Expected answer: 217
Correct? No
Problem: A penguin scientist counts 309 penguins in a colony. She decides to tag them in groups of 293 for easier tracking. How many penguins will be in the final, possibly incomplete, group?
InternLM-Math Base 7B:
Reasoning: 309-293 = <<309-293=16>>16 ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: The penguin scientist realizes she made a mistake and there were actually only 262 penguins in each group. How many penguins will be in the final, possibly incomplete, group now?
InternLM-Math Base 7B:
Reasoning: 262-16 = <<262-16=246>>246 ### Answer: 246
Expected answer: 47
Correct? No
Problem: A sandwich shop has 580 slices of bread. They use 18 slices of bread for each sandwich-making batch. After using up the bread in these batches, how many slices will they have left?
InternLM-Math Base 7B:
Reasoning: 580/18 = <<580/18=32.222222222222>>32.2 slices of bread are left. ### Answer: 32.2
Expected answer: 4
Correct? No
Problem: A tailor has 925 meters of fabric. The tailor uses 529 meters of fabric to make each dress. If the tailor uses the fabric evenly for each dress, how many meters of fabric will be left over after completing the dresses?
InternLM-Math Base 7B:
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: 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?
InternLM-Math Base 7B:
Reasoning: 976-3*530 = <<976-3*530= 976-1590= 386>>386 ### Answer: 386
Expected answer: 446
Correct? No