Common Core Standard 4.NBT.B.5
This standard covers the following:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: A police department issues 65 tickets each day for 34 days. How many tickets did they issue in total?
InternLM-Math Base 20B:
Reasoning: The police department issues 65 tickets each day for 34 days. 65*34 = <<65*34=2210>>2210 tickets in total. ### Answer: 2210
Expected answer: 2210
Correct? Yes
Problem: A windmill generates 8086 kilowatts of electricity every day. How much electricity will it generate in 7 days?
InternLM-Math Base 20B:
Reasoning: 8086 × 7 = <<8086*7=56602>>56602 ### Answer: 56602
Expected answer: 56602
Correct? Yes
Problem: If the windmill generated 5447 kilowatts of electricity daily instead of 8086 kilowatts, how much electricity would it generate in 7 days?
InternLM-Math Base 20B:
Reasoning: 5447 × 7 = <<5447*7=38129>>38129 ### Answer: 38129
Expected answer: 38129
Correct? Yes
Problem: A company produces 55 tubes of toothpaste every hour for 35 hours. How many tubes of toothpaste did they produce?
InternLM-Math Base 20B:
Reasoning: 55*35 = <<55*35=1925>>1925 ### Answer: 1925
Expected answer: 1925
Correct? Yes
Problem: Instead of producing toothpaste for 35 hours, the company decided to increase their production time to 316 hours, still producing 55 tubes of toothpaste every hour. How many tubes of toothpaste did they produce now?
InternLM-Math Base 20B:
Reasoning: 55*316 = <<55*316=17480>>17480 ### Answer: 17480
Expected answer: 17380
Correct? No
Problem: A company produces 96 unique keys per day for 83 days. How many keys in total did they produce?
InternLM-Math Base 20B:
Reasoning: 96*83 = <<96*83=7968>>7968 ### Answer: 7968
Expected answer: 7968
Correct? Yes
Problem: Considering the previous problem, if the company instead produced 993 unique keys per day for the same period of 96 days, how many keys in total would they have produced?
InternLM-Math Base 20B:
Reasoning: 993*96 = <<993*96=95328>>95328 ### Answer: 95328
Expected answer: 95328
Correct? Yes
Problem: A company produces 9212 balls of a specific type every day for 9 consecutive days. How many balls did they produce overall?
InternLM-Math Base 20B:
Reasoning: 9212 × 9 = <<9212*9=82896>>82896 ### Answer: 82896
Expected answer: 82908
Correct? No
Problem: A school bus can carry 6353 students. If there is only 1 bus available, how many students can it carry?
InternLM-Math Base 20B:
Reasoning: 6353/1 = <<6353/1=6353>>6353 students. ### Answer: 6353
Expected answer: 6353
Correct? Yes
Problem: Now, imagine if the school bus could only carry 229 students instead of 6353. How many students can this bus carry?
InternLM-Math Base 20B:
Reasoning: 229/1 = <<229/1=229>>229 students. ### Answer: 229
Expected answer: 229
Correct? Yes
Problem: A pirate ship has 76 cannons, each firing 45 cannonballs in a battle. How many cannonballs does the pirate ship fire in total?
InternLM-Math Base 20B:
Reasoning: The pirate ship fires 76*45 = <<76*45=3420>>3420 cannonballs in total. ### Answer: 3420
Expected answer: 3420
Correct? Yes
Problem: Considering the same pirate ship, what if instead of firing 45 cannonballs per cannon, each of the 76 cannons fired 708 cannonballs in a battle? How many cannonballs does the pirate ship fire in total now?
InternLM-Math Base 20B:
Reasoning: The pirate ship fires 76*708 = <<76*708=53808>>53800 cannonballs in total. ### Answer: 53800
Expected answer: 53808
Correct? No
Problem: A bus can carry 5244 passengers. How many passengers can 5 buses carry in total?
InternLM-Math Base 20B:
Reasoning: 5244 = <<5244=5*424=2124>>2124. 5 buses can carry 2124 passengers in total. ### Answer: 2124
Expected answer: 26220
Correct? No
Problem: A friend of yours has been saving money for 2 years. Every year, they manage to save $2008. How much money have they saved in total?
InternLM-Math Base 20B:
Reasoning: Your friend saved $2008 in the first year and $2008 in the second year. Your friend saved $2008+$2008 = <<2008+2008=4016>>$4016 in total. ### Answer: 4016
Expected answer: 4016
Correct? Yes
Problem: In response to the previous situation with your friend, imagine instead that they were able to save just $125 every year for those same 2 years. How much would they have managed to save under these circumstances?
InternLM-Math Base 20B:
Reasoning: Your friend saved $125 in the first year and $125 in the second year. Your friend saved $125+$125 = <<125+125=250>>$250 in total. ### Answer: 250
Expected answer: 250
Correct? Yes
Problem: A chocolate factory produces 4916 chocolate bars every hour for 4 hours. How many chocolate bars did they produce?
InternLM-Math Base 20B:
Reasoning: 4916 × 4 = <<4916*4=19,664>>19,664 ### Answer: 19,664
Expected answer: 19664
Correct? Yes
Problem: If the chocolate factory mentioned before actually produced 7489 chocolate bars every hour for the same 4 hours, how many chocolate bars did they produce instead?
InternLM-Math Base 20B:
Reasoning: 7489 × 4 = <<7489*4=29,956>>29,956 ### Answer: 29,956
Expected answer: 29956
Correct? Yes
Problem: A pirate found a hidden treasure, which contains 91 chests, each chest holding 55 gold coins. How many gold coins did the pirate find in total?
InternLM-Math Base 20B:
Reasoning: The pirate found 91*55 = <<91*55=5005>>5005 gold coins in total. ### Answer: 5005
Expected answer: 5005
Correct? Yes
Problem: Instead of 91 chests, suppose the pirate found 1489 chests, each still holding 55 gold coins. How many gold coins did the pirate find in total now?
InternLM-Math Base 20B:
Reasoning: The pirate found 1489*55 = <<1489*55=81985>>81985 gold coins in total. ### Answer: 81985
Expected answer: 81895
Correct? No
Problem: A farmer grows 50 bunches of grapes and each bunch has 12 grapes each. How many grapes did the farmer grow in total?
InternLM-Math Base 20B:
Reasoning: The farmer grew 50*12 = <<50*12=600>>600 grapes in total. ### Answer: 600
Expected answer: 600
Correct? Yes
Problem: If instead of 50 bunches of grapes, the farmer had 6804 bunches of grapes, each with 12 grapes, how many grapes did the farmer grow in total?
InternLM-Math Base 20B:
Reasoning: The farmer grew 6804*12 = <<6804*12=81648>>81648 grapes in total. ### Answer: 81648
Expected answer: 81648
Correct? Yes
Problem: A helicopter can carry 64 pounds every minute. If it works continuously for 75 minutes, how many pounds can the helicopter carry?
InternLM-Math Base 20B:
Reasoning: 64 × 75 = <<64*75=4800>>4800 The helicopter can carry 4800 pounds. ### Answer: 4800
Expected answer: 4800
Correct? Yes
Problem: If the helicopter could actually carry 1063 pounds every minute instead of 64, how many pounds would it be able to carry in 75 minutes?
InternLM-Math Base 20B:
Reasoning: 1063 × 75 = <<1063*75=7945>>7945 The helicopter can carry 7945 pounds. ### Answer: 7945
Expected answer: 79725
Correct? No
Problem: A piano manufacturer produces 4750 pianos every week for 7 weeks. How many pianos have they produced in total?
InternLM-Math Base 20B:
Reasoning: 4750*7 = <<4750*7=33250>>33250 ### Answer: 33250
Expected answer: 33250
Correct? Yes
Problem: Suppose the piano manufacturer had actually produced 1339 pianos every week instead of 4750 pianos for the same 7 weeks. How many pianos would they have produced then?
InternLM-Math Base 20B:
Reasoning: 1339*7 = <<1339*7=9373>>9373 ### Answer: 9373
Expected answer: 9373
Correct? Yes
Problem: A snow machine produces 8873 snowballs every hour for 8 hours. How many snowballs did it produce?
InternLM-Math Base 20B:
Reasoning: 8873 × 8 = <<8873*8=71084>>71084 ### Answer: 71084
Expected answer: 70984
Correct? No
Problem: A certain type of rope is produced in 84 equal strands, each measuring 75 meters long. How many meters of rope are produced in total?
InternLM-Math Base 20B:
Reasoning: 84 × 75 = <<84*75=6300>>6300 ### Answer: 6300
Expected answer: 6300
Correct? Yes
Problem: Considering the previous scenario, let's say the machinery was recalibrated and now each of the 84 strands of rope are now 742 meters long instead of 75 meters. How long is the total length of all strands now?
InternLM-Math Base 20B:
Reasoning: 84 × 742 = <<84*742=62428>>62428 ### Answer: 62428
Expected answer: 62328
Correct? No
Problem: A doctor treats 5837 patients each day for 8 days. How many patients has the doctor treated?
InternLM-Math Base 20B:
Reasoning: The doctor treats 5837*8 = <<5837*8=46,696>>46,696 patients in 8 days. ### Answer: 46,696
Expected answer: 46696
Correct? Yes
Problem: In the previous scenario, the doctor treated 5837 patients for 8 days. Now, imagine that instead the doctor treated 7467 patients each day for the same period of 8 days. How many patients has the doctor treated now?
InternLM-Math Base 20B:
Reasoning: The doctor treats 7467*8 = <<7467*8=59,736>>59,736 patients in 8 days. ### Answer: 59,736
Expected answer: 59736
Correct? Yes
Problem: A tree farmer plants 4749 trees each day over 6 days. How many trees did he plant in total?
InternLM-Math Base 20B:
Reasoning: The tree farmer plants 4749/6 = <<4749/6=791>>791 trees per day. The tree farmer plants 791*6 = <<791*6=4746>>4746 trees in total. ### Answer: 4746
Expected answer: 28494
Correct? No
Problem: A florist has 80 vases, each filled with 64 flowers. How many flowers are there in all the vases?
InternLM-Math Base 20B:
Reasoning: 64*80 = <<64*80=5120>>5120 ### Answer: 5120
Expected answer: 5120
Correct? Yes
Problem: Suppose now that each vase is filled with 891 flowers instead of 64 flowers. How many flowers are there in all the vases now?
InternLM-Math Base 20B:
Reasoning: 891*80 = <<891*80=71280>>71280 ### Answer: 71280
Expected answer: 71280
Correct? Yes
Problem: A quilt maker uses 4932 pieces of cloth to make one blanket. How many pieces of cloth did he/she use?
InternLM-Math Base 20B:
Reasoning: 4932 = <<4932=49*32=1568>>1568 ### Answer: 1568
Expected answer: 4932
Correct? No
Problem: A pillow maker produces 40 pillows every hour for 17 hours. How many pillows did they make?
InternLM-Math Base 20B:
Reasoning: 40*17 = <<40*17=680>>680 ### Answer: 680
Expected answer: 680
Correct? Yes
Problem: In the previous scenario, if the pillow maker increased their production rate to 460 pillows every hour while still working for the same 40 hours, how many pillows would they make then?
InternLM-Math Base 20B:
Reasoning: 460*17 = <<460*17=7820>>7820 ### Answer: 7820
Expected answer: 18400
Correct? No
Problem: A monkey picks 9434 bananas each day for 7 days. How many bananas has the monkey picked in total?
InternLM-Math Base 20B:
Reasoning: The monkey picks 9434 bananas each day for 7 days. The monkey picks 9434*7 = <<9434*7=66038>>66038 bananas in total. ### Answer: 66038
Expected answer: 66038
Correct? Yes
Problem: If the same Monkey instead picked 2926 bananas each day for a week, how many bananas would it have picked in total?
InternLM-Math Base 20B:
Reasoning: The monkey picks 2926 bananas each day for 7 days. The monkey picks 2926*7 = <<2926*7=20480>>20480 bananas in total. ### Answer: 20480
Expected answer: 20482
Correct? No
Problem: A ballerina performs 64 pirouettes each day for 21 days. How many pirouettes has she performed overall?
InternLM-Math Base 20B:
Reasoning: The ballerina performs 64 pirouettes each day for 21 days. The ballerina performs 64*21 = <<64*21=1344>>1344 pirouettes overall. ### Answer: 1344
Expected answer: 1344
Correct? Yes
Problem: Suppose the ballerina decided to increase her pirouettes and performed 3075 pirouettes each day for the same 21 days. How many pirouettes has she performed now?
InternLM-Math Base 20B:
Reasoning: The ballerina performs 3075 pirouettes each day for 21 days. The ballerina performs 3075*21 = <<3075*21=64275>>64275 pirouettes now. ### Answer: 64275
Expected answer: 64575
Correct? No
Problem: A school bus transports 28 students to school every day for 12 days. How many students total have been transported?
InternLM-Math Base 20B:
Reasoning: 28*12 = <<28*12=336>>336 students have been transported. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: Suppose the school bus capacity was increased and it could now transport 8194 students to school every day. What would be the total number of students transported to school in 12 days?
InternLM-Math Base 20B:
Reasoning: 8194*12 = <<8194*12=98328>>98328 students have been transported. ### Answer: 98328
Expected answer: 98328
Correct? Yes
Problem: A facility produces 78 balls per day for 22 days. How many balls do they produce in total?
InternLM-Math Base 20B:
Reasoning: 78*22 = <<78*22=1716>>1716 ### Answer: 1716
Expected answer: 1716
Correct? Yes
Problem: Now, imagine the facility didn't produce 78 balls per day, but massively increased production to 3263 balls per day over the same period of 22 days. How many balls do they produce in total now?
InternLM-Math Base 20B:
Reasoning: 3263*22 = <<3263*22=71886>>71886 ### Answer: 71886
Expected answer: 71786
Correct? No
Problem: A glasses manufacturer produces 64 glasses per batch, and they managed to produce 22 batches in one day. How many glasses did they produce in a day?
InternLM-Math Base 20B:
Reasoning: The glasses manufacturer produced 64×22 = <<64*22=1408>>1408 glasses in a day. ### Answer: 1408
Expected answer: 1408
Correct? Yes
Problem: The glasses manufacturer decided to upgrade their production line, and now they are able to produce 821 glasses per batch while still maintaining 22 batches per day. How many glasses are they now able to produce in one day?
InternLM-Math Base 20B:
Reasoning: The glasses manufacturer now produces 821×22 = <<821*22=18062>>18062 glasses in a day. ### Answer: 18062
Expected answer: 18062
Correct? Yes
Problem: A city bus has a regular route that is 2836 km long. If the bus travels the route 5 times, how many kilometers does it cover?
InternLM-Math Base 20B:
Reasoning: The bus travels 2836 × 5 = <<2836×5=14180>>14180 km. ### Answer: 14180
Expected answer: 14180
Correct? Yes
Problem: Suppose the length of the city bus route changes to 8724 km. If the bus still travels this new route 5 times, how many kilometers does it cover now?
InternLM-Math Base 20B:
Reasoning: The bus travels 8724 × 5 = <<8724×5=43620>>43620 km. ### Answer: 43620
Expected answer: 43620
Correct? Yes
Problem: A pizza restaurant sells 1959 pizzas each day for a period of 4 consecutive days. How many pizzas did they sell altogether?
InternLM-Math Base 20B:
Reasoning: The restaurant sold 1959+1959+1959+1959 = <<1959*4=7836>>7836 pizzas altogether. ### Answer: 7836
Expected answer: 7836
Correct? Yes
Problem: Suppose the pizza restaurant's sales decreased and they sold 772 pizzas each day instead of 1959 for a period of 4 consecutive days. How many pizzas did they sell in these 4 days?
InternLM-Math Base 20B:
Reasoning: The restaurant sold 772+772+772+772 = <<772*4=3088>>3088 pizzas altogether. ### Answer: 3088
Expected answer: 3088
Correct? Yes
Problem: A mouse eats 85 grains of rice per day for 93 days. How many grains of rice does the mouse eat in total?
InternLM-Math Base 20B:
Reasoning: 85*93 = <<85*93=7865>>7865 The mouse eats 7865 grains of rice in total. ### Answer: 7865
Expected answer: 7905
Correct? No
Problem: A building has 83 floors, and each floor has 18 windows. How many windows are there in the entire building?
InternLM-Math Base 20B:
Reasoning: There are 83*18 = <<83*18=1494>>1494 windows in the entire building. ### Answer: 1494
Expected answer: 1494
Correct? Yes
Problem: Suppose the building instead had 4633 floors, each with the same number of 18 windows. How many windows would there be in the entire building now?
InternLM-Math Base 20B:
Reasoning: There are 4633*18 = <<4633*18=83794>>83794 windows in the entire building. ### Answer: 83794
Expected answer: 83394
Correct? No
Problem: A toothpaste company produced 2917 tubes for 3 consecutive days. How many toothpaste tubes did they produce in total?
InternLM-Math Base 20B:
Reasoning: The toothpaste company produced 2917/3 = <<2917/3=973>>973 tubes on each of the 3 days. They produced 973*3 = <<973*3=2919>>2919 toothpaste tubes in total. ### Answer: 2919
Expected answer: 8751
Correct? No
Problem: A student has 90 eraser packs, each containing 81 erasers. How many erasers does the student have in total?
InternLM-Math Base 20B:
Reasoning: The student has 90 × 81 = <<90*81=7290>>7290 erasers in total. ### Answer: 7290
Expected answer: 7290
Correct? Yes
Problem: Suppose the student's eraser pack size changes, and instead of carrying 90 packs, they now carry 584 packs, each still containing 81 erasers. How many erasers does the student have now?
InternLM-Math Base 20B:
Reasoning: The student has 584 × 81 = <<584*81=47304>>47304 erasers in total. ### Answer: 47304
Expected answer: 47304
Correct? Yes
Problem: A baker creates 2 cakes, each requiring 2585 grams of flour. How many grams of flour does the baker need in total?
InternLM-Math Base 20B:
Reasoning: 2*2585 = <<2*2585=5170>>5170 ### Answer: 5170
Expected answer: 5170
Correct? Yes
Problem: In the previous problem, a baker created 2 cakes, each requiring 2585 grams of flour. But now, let's say the baker decides to use a new recipe that requires 6073 grams of flour per cake instead. How many grams of flour does the baker need to make 2 cakes using the new recipe?
InternLM-Math Base 20B:
Reasoning: 2*6073 = <<2*6073=12146>>12146 ### Answer: 12146
Expected answer: 12146
Correct? Yes
Problem: A jewelry maker designs 3 necklaces, each with 7303 beads. How many total beads did they use for the necklaces?
InternLM-Math Base 20B:
Reasoning: 7303 = <<7303=21309>>21309. The jewelry maker used 21309 × 3 = <<21309*3=63,927>>63,927 beads for the necklaces. ### Answer: 63,927
Expected answer: 21909
Correct? No
Problem: A fisherman catches 30 fish each day for 16 days. How many fish has he caught in total?
InternLM-Math Base 20B:
Reasoning: 30*16 = <<30*16=480>>480 ### Answer: 480
Expected answer: 480
Correct? Yes
Problem: If the fisherman instead catches 2193 fish each day for the same 30 days, how many fish would he have caught in total?
InternLM-Math Base 20B:
Reasoning: 2193*30 = <<2193*30=65790>>65790 ### Answer: 65790
Expected answer: 65790
Correct? Yes
Problem: A paint manufacturer produces 6 batches of paint, each containing 1868 liters. How many liters in total did they produce?
InternLM-Math Base 20B:
Reasoning: 6*1868 = <<6*1868=11208>>11208 ### Answer: 11208
Expected answer: 11208
Correct? Yes
Problem: The paint manufacturer decides to reduce the size of each batch to 437 liters, but still produces 6 batches. How many liters in total did they produce now?
InternLM-Math Base 20B:
Reasoning: 6*437 = <<6*437=2622>>2622 ### Answer: 2622
Expected answer: 2622
Correct? Yes
Problem: A forest contains 74 trees and each tree produces 10 kilograms of fruits. How many kilograms of fruits does the forest produce?
InternLM-Math Base 20B:
Reasoning: 74 × 10 = <<74*10=740>>740 kilograms of fruits. ### Answer: 740
Expected answer: 740
Correct? Yes
Problem: In the same forest, there are 5619 trees each producing 10 kilograms of fruits. How many kilograms of fruits do these trees produce?
InternLM-Math Base 20B:
Reasoning: 5619 × 10 = <<5619*10=56190>>56190 kilograms of fruits. ### Answer: 56190
Expected answer: 56190
Correct? Yes
Problem: A farmer manages to grow 41 carrots in each of his 21 vegetable patches. How many carrots does the farmer have in total?
InternLM-Math Base 20B:
Reasoning: The farmer has 41*21 = <<41*21=861>>861 carrots in total. ### Answer: 861
Expected answer: 861
Correct? Yes
Problem: The farmer has now evolved his farming techniques and grown a record-breaking 1194 carrots from each of his 41 vegetable patches. How many carrots does he have now?
InternLM-Math Base 20B:
Reasoning: The farmer has 1194*41 = <<1194*41=49355>>49355 carrots in total. ### Answer: 49355
Expected answer: 48954
Correct? No
Problem: A drum manufacturer produces 3070 drums per day for 7 days. How many drums are produced in total?
InternLM-Math Base 20B:
Reasoning: 3070 × 7 = <<3070*7=21590>>21590. ### Answer: 21590
Expected answer: 21490
Correct? No
Problem: A toothbrush company produces 2949 toothbrushes every hour for 6 hours. How many toothbrushes did they produce in that time?
InternLM-Math Base 20B:
Reasoning: 2949/6 = <<2949/6=492.16666666666665>>492.16666666666665 toothbrushes are produced every hour. 2949*6 = <<2949*6=17694>>17694 toothbrushes are produced in 6 hours. ### Answer: 17694
Expected answer: 17694
Correct? Yes
Problem: The toothbrush company decided to increase its production rate. So now, they produce 6645 toothbrushes every hour for the same 6 hours frame. How many toothbrushes do they produce now in that time?
InternLM-Math Base 20B:
Reasoning: 6645/6 = <<6645/6=1107.5>>1107.5 toothbrushes are produced every hour. 6645*6 = <<6645*6=39870>>39870 toothbrushes are produced in 6 hours. ### Answer: 39870
Expected answer: 39870
Correct? Yes
Problem: A farm produces 8938 liters of milk every day for 4 days. How many liters of milk did the farm produce?
InternLM-Math Base 20B:
Reasoning: 8938 × 4 = <<8938*4=35732>>35732 ### Answer: 35732
Expected answer: 35752
Correct? No
Problem: A puzzle creator designed 2588 puzzles each year for 9 years. How many puzzles did he design in total?
InternLM-Math Base 20B:
Reasoning: 2588 × 9 = <<2588*9=23,292>>23,292 ### Answer: 23,292
Expected answer: 23292
Correct? Yes
Problem: The puzzle creator decided to slightly increase his productivity and designed 2704 puzzles each year instead of 2588. How many puzzles did he design over the same 9-year period with this new rate?
InternLM-Math Base 20B:
Reasoning: 2704 × 9 = <<2704*9=24,336>>24,336 ### Answer: 24,336
Expected answer: 24336
Correct? Yes
Problem: A person gives 2 gifts, each worth 9797 dollars. What is the total cost of the gifts?
InternLM-Math Base 20B:
Reasoning: 2*97 = <<2*97=194>>194 ### Answer: 194
Expected answer: 19594
Correct? No
Problem: In a video game, a player collects 1 diamond worth 6338 points. How many points has the player collected from diamonds?
InternLM-Math Base 20B:
Reasoning: 1 diamond = 6338 points. The player collected 6338 points from diamonds. ### Answer: 6338
Expected answer: 6338
Correct? Yes
Problem: In the same video game, consider that the player collects 1 diamond, but in this level, the diamond is worth only 166 points. How many points does the player collect from this diamond?
InternLM-Math Base 20B:
Reasoning: 1 diamond = 166 points. The player collected 166 points from this diamond. ### Answer: 166
Expected answer: 166
Correct? Yes
Problem: A sock company packages 81 pairs of socks in one box. If they made 98 boxes, how many pairs of socks did they make?
InternLM-Math Base 20B:
Reasoning: 98 boxes of socks contain 98*81 = <<98*81=7938>>7938 pairs of socks. ### Answer: 7938
Expected answer: 7938
Correct? Yes
Problem: Now consider if the sock company were to package 645 pairs of socks in one box instead. If they made 98 boxes again, how many pairs of socks would they make then?
InternLM-Math Base 20B:
Reasoning: 98 boxes of socks contain 98*645 = <<98*645=63410>>63410 pairs of socks. ### Answer: 63410
Expected answer: 63210
Correct? No
Problem: A telescope magnifies an object 67 times and each magnification adds 86 units to the object's size. What is the total size of the object with added magnification?
InternLM-Math Base 20B:
Reasoning: 67*86 = <<67*86=5762>>5762 The total size of the object with added magnification is 5762 units. ### Answer: 5762
Expected answer: 5762
Correct? Yes
Problem: The original object size under the telescope was 58 units instead of 86. If the telescope still magnifies the object 67 times, what would be the total size of the object now?
InternLM-Math Base 20B:
Reasoning: 67*58 = <<67*58=3886>>3886 The total size of the object now is 3886 units. ### Answer: 3886
Expected answer: 3886
Correct? Yes
Problem: A computer company produces 1010 computer units every day over a period of 7 days. How many computer units have they manufactured in total?
InternLM-Math Base 20B:
Reasoning: 1010 × 7 = <<1010×7=7070>>7070. The company has manufactured 7070 computer units in total. ### Answer: 7070
Expected answer: 7070
Correct? Yes
Problem: If the computer company was instead able to produce 8413 computer units each day over the same period of 7 days, how many units have they manufactured in total now?
InternLM-Math Base 20B:
Reasoning: 8413 × 7 = <<8413×7=5891>>5891. The company has manufactured 5891 computer units in total. ### Answer: 5891
Expected answer: 58891
Correct? No
Problem: A musician writes a song that lasts 9888 seconds. If it is played back-to-back twice, how many seconds does it last in total?
InternLM-Math Base 20B:
Reasoning: The song lasts 9888 seconds. It is played back-to-back twice, so it lasts 9888+9888 = <<9888+9888=19776>>19776 seconds in total. ### Answer: 19776
Expected answer: 19776
Correct? Yes
Problem: If that musician decides to write a new song that lasts 3435 seconds and it is also played back-to-back twice, how many seconds will this new song last in total?
InternLM-Math Base 20B:
Reasoning: The new song lasts 3435 seconds. It is played back-to-back twice, so it lasts 3435+3435 = <<3435+3435=6870>>6870 seconds in total. ### Answer: 6870
Expected answer: 6870
Correct? Yes
Problem: A crayon factory produces 4 boxes of crayons, each containing 4535 crayons. How many crayons have they produced in total?
InternLM-Math Base 20B:
Reasoning: 4 × 4535 = <<4*4535=18140>>18140 ### Answer: 18140
Expected answer: 18140
Correct? Yes
Problem: The crayon factory has increased its output. Now, it produces 4 boxes of crayons, each containing 7780 crayons. How many crayons does the factory produce with this increased output?
InternLM-Math Base 20B:
Reasoning: 4 × 7780 = <<4*7780=31120>>31120 ### Answer: 31120
Expected answer: 31120
Correct? Yes
Problem: A backpack brand produces 4563 bags daily for a week. How many backpacks do they produce in total?
InternLM-Math Base 20B:
Reasoning: 4563 × 7 = <<4563*7=31941>>31941. ### Answer: 31941
Expected answer: 31941
Correct? Yes
Problem: If the same backpack brand instead produces 9981 bags daily for a week, how many backpacks would they produce in total?
InternLM-Math Base 20B:
Reasoning: 9981 × 7 = <<9981*7=69867>>69867. ### Answer: 69867
Expected answer: 69867
Correct? Yes
Problem: A roller skate company makes 95 pairs of roller skates every hour, for 17 hours a day. How many pairs of roller skates do they make in a day?
InternLM-Math Base 20B:
Reasoning: 95*17 = <<95*17=1615>>1615 pairs of roller skates. ### Answer: 1615
Expected answer: 1615
Correct? Yes
Problem: Now, consider the roller skate company now makes 3137 pairs of roller skates every hour instead of 95. How many pairs of roller skates do they make in a day?
InternLM-Math Base 20B:
Reasoning: 3137*17 = <<3137*17=53329>>53329 pairs of roller skates. ### Answer: 53329
Expected answer: 53329
Correct? Yes
Problem: A chair designer uses 97 pieces of wood for each chair and designs 97 chairs. How many pieces of wood are used in total?
InternLM-Math Base 20B:
Reasoning: The chair designer uses 97 pieces of wood for each chair. The chair designer designs 97 chairs. The chair designer uses 97*97 = <<97*97=9409>>9409 pieces of wood in total. ### Answer: 9409
Expected answer: 9409
Correct? Yes
Problem: After the first batch of chairs, the chair designer decides to use 269 pieces of wood for each chair but still designs 97 chairs. How many pieces of wood are used this time?
InternLM-Math Base 20B:
Reasoning: The chair designer uses 269 pieces of wood for each chair. The chair designer designs 97 chairs. The chair designer uses 269*97 = <<269*97=26193>>26193 pieces of wood this time. ### Answer: 26193
Expected answer: 26093
Correct? No
Problem: A sports store sells 20 pairs of ice skates per day, each priced at $99. Determine the total revenue in one day?
InternLM-Math Base 20B:
Reasoning: The total revenue is 20*99 = <<20*99=1980>>1980. ### Answer: 1980
Expected answer: 1980
Correct? Yes
Problem: A sports store originally thought they sold 20 pairs of ice skates per day, each priced at $99. But then, they realized that they actually sold 943 pairs of ice skates per day. Determine the total revenue of the sports store in one day considering the updated quantity of sold ice skates?
InternLM-Math Base 20B:
Reasoning: The total revenue is 943*99 = <<943*99=93257>>93257. ### Answer: 93257
Expected answer: 93357
Correct? No
Problem: A zookeeper is tasked with feeding 73 flamingos. Each flamingo eats 10 shrimp every day. How many shrimp does the zookeeper need to feed all the flamingos for one day?
InternLM-Math Base 20B:
Reasoning: 73 × 10 = <<73*10=730>>730. The zookeeper needs 730 shrimp to feed all the flamingos for one day. ### Answer: 730
Expected answer: 730
Correct? Yes
Problem: Suppose instead of 73 flamingos, the zookeeper had to feed 4695 flamingos. Each flamingo still eats 10 shrimp every day. How many shrimp would the zookeeper need to feed all the flamingos for one day?
InternLM-Math Base 20B:
Reasoning: 4695 × 10 = <<4695*10=46950>>46950. The zookeeper needs 46950 shrimp to feed all the flamingos for one day. ### Answer: 46950
Expected answer: 46950
Correct? Yes
Problem: A beach ball factory produces 83 beach balls each hour for 89 hours. How many beach balls have they made?
InternLM-Math Base 20B:
Reasoning: 83*89 = <<83*89=7387>>7387 ### Answer: 7387
Expected answer: 7387
Correct? Yes
Problem: The beach ball factory's production increases and they now produce 566 beach balls each hour for 89 hours. How many beach balls have they now made?
InternLM-Math Base 20B:
Reasoning: 566*89 = <<566*89=50276>>50276 ### Answer: 50276
Expected answer: 50374
Correct? No
Problem: A marine biologist finds 91 groups of starfish, each group containing 36 starfish. How many starfish did they find in total?
InternLM-Math Base 20B:
Reasoning: 91*36 = <<91*36=3276>>3276 ### Answer: 3276
Expected answer: 3276
Correct? Yes
Problem: The marine biologist initially mistook some other marine creatures for starfish. After careful examination, she found that there were actually 2771 groups of starfish, not 91. Each group still contained 36 starfish. How many starfish were there really?
InternLM-Math Base 20B:
Reasoning: 2771*36 = <<2771*36=99756>>99756 ### Answer: 99756
Expected answer: 99756
Correct? Yes
Problem: A community builds 37 jungle gyms, each one requiring 74 pieces. How many total pieces are used to build all the jungle gyms?
InternLM-Math Base 20B:
Reasoning: 37*74 = <<37*74=2738>>2738 ### Answer: 2738
Expected answer: 2738
Correct? Yes
Problem: Suppose instead of requiring 74 pieces, each jungle gym requires 579 pieces. How many total pieces are now used to build all 37 jungle gyms?
InternLM-Math Base 20B:
Reasoning: 37*579 = <<37*579=21423>>21423 ### Answer: 21423
Expected answer: 21423
Correct? Yes
Problem: A phone manufacturing company produces 9978 phones every hour for 9 hours. How many phones have they produced?
InternLM-Math Base 20B:
Reasoning: 9978 × 9 = <<9978*9=89862>>89862 phones. ### Answer: 89862
Expected answer: 89802
Correct? No
Problem: A Princess owns 16 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses?
InternLM-Math Base 20B:
Reasoning: The Princess has 16*72 = <<16*72=1152>>1152 sequins in total on all her dresses. ### Answer: 1152
Expected answer: 1152
Correct? Yes
Problem: In the original estimation, it was mistakenly counted that the Princess owns 16 dresses. In reality, she owns 1016 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses now?
InternLM-Math Base 20B:
Reasoning: The Princess has 1016*72 = <<1016*72=73456>>73456 sequins in total on all her dresses. ### Answer: 73456
Expected answer: 73152
Correct? No
Problem: A shoe factory makes 5227 shoes every day for 8 days. How many shoes have they made?
InternLM-Math Base 20B:
Reasoning: 5227 × 8 = <<5227*8=41916>>41916 ### Answer: 41916
Expected answer: 41816
Correct? No
Problem: A cheese factory produces 7975 kilograms of cheese every day for 4 days. How many kilograms of cheese have they produced?
InternLM-Math Base 20B:
Reasoning: 7975 × 4 = <<7975*4=31900>>31900 ### Answer: 31900
Expected answer: 31900
Correct? Yes
Problem: If the cheese factory actually produced 4145 kilograms of cheese each day instead of 7975 kilograms, how many kilograms of cheese would they have produced in 4 days?
InternLM-Math Base 20B:
Reasoning: 4145 × 4 = <<4145*4=16680>>16680 ### Answer: 16680
Expected answer: 16580
Correct? No
Problem: In a sandbox, there are 8061 grains of sand in each of 9 piles. How many grains of sand are there in total?
InternLM-Math Base 20B:
Reasoning: 9*8061 = <<9*8061=72549>>72549 ### Answer: 72549
Expected answer: 72549
Correct? Yes
Problem: If instead, there were 9553 grains of sand in each of the 9 piles in the sandbox, how many grains of sand would there be in total now?
InternLM-Math Base 20B:
Reasoning: 9*9553 = <<9*9553=86077>>86077 ### Answer: 86077
Expected answer: 85977
Correct? No
Problem: A police station receives 20 emergency calls every day. If this continues for 93 days, how many emergency calls will they have received in total?
InternLM-Math Base 20B:
Reasoning: 20 × 93 = <<20*93=1860>>1860 They will have received 1860 emergency calls in total. ### Answer: 1860
Expected answer: 1860
Correct? Yes
Problem: The police station adjusted its data and found out that they actually receive 20 emergency calls every day for 2675 days. How many emergency calls will they have received given this new information?
InternLM-Math Base 20B:
Reasoning: 20 × 2675 = <<20*2675=54,500>>54,500 They will have received 54,500 emergency calls given this new information. ### Answer: 54,500
Expected answer: 53500
Correct? No
Problem: A baby says 6569 words in a day for 8 days. How many words does the baby say in total?
InternLM-Math Base 20B:
Reasoning: 6569 × 8 = <<6569×8=52452>>52452 ### Answer: 52452
Expected answer: 52552
Correct? No
Problem: On an ice island, each day a penguin lays 48 eggs for 54 days. How many eggs does the penguin lay in total?
InternLM-Math Base 20B:
Reasoning: The penguin lays 48 eggs for 54 days. The penguin lays 48 × 54 = <<48*54=2592>>2592 eggs in total. ### Answer: 2592
Expected answer: 2592
Correct? Yes
Problem: A hat maker has crafted 9 unique hats, each with a special design consisting of 3084 stitches. How many stitches are there in total across all hats?
InternLM-Math Base 20B:
Reasoning: 9*3084 = <<9*3084=27756>>27756 ### Answer: 27756
Expected answer: 27756
Correct? Yes
Problem: Suppose the hat maker instead crafted 9 unique hats, each with a more complex design consisting of 9163 stitches. How many stitches would be there in total across all hats in this scenario?
InternLM-Math Base 20B:
Reasoning: 9*9163 = <<9*9163=82567>>82567 ### Answer: 82567
Expected answer: 82467
Correct? No
Problem: A certain breed of cat has an average of 3393 strands of fur. If you have one of these cats, how many strands of fur does it have?
InternLM-Math Base 20B:
Reasoning: 3393/2 = <<3393/2=1696.5>>1696.5 ### Answer: 1696.5
Expected answer: 3393
Correct? No
Problem: A bakery makes 2 cakes, each with 2873 calories. How many calories are there in total?
InternLM-Math Base 20B:
Reasoning: 2873+2873 = <<2873+2873=5746>>5746 ### Answer: 5746
Expected answer: 5746
Correct? Yes
Problem: If instead, the bakery made 2 cakes, each with 5243 calories, how many calories would there be in total now?
InternLM-Math Base 20B:
Reasoning: 5243+5243 = <<5243+5243=10486>>10486 ### Answer: 10486
Expected answer: 10486
Correct? Yes
Problem: A sleeping bag manufacturing company produces 9266 sleeping bags every day for 9 days. How many sleeping bags did they produce?
InternLM-Math Base 20B:
Reasoning: 9266 × 9 = <<9266*9=83494>>83494 ### Answer: 83494
Expected answer: 83394
Correct? No
Problem: A candy factory produces 3108 candies every hour for 5 hours. How many candies have they produced?
InternLM-Math Base 20B:
Reasoning: 3108 * 5 = <<3108*5=1554>>1554 candies have been produced. ### Answer: 1554
Expected answer: 15540
Correct? No
Problem: A group of children builds 5 snowmen with each snowman containing 4016 snowballs. How many snowballs have they used in total?
InternLM-Math Base 20B:
Reasoning: 5*4016 = <<5*4016=20080>>20080 snowballs. ### Answer: 20080
Expected answer: 20080
Correct? Yes
Problem: What would be the total number of snowballs used if the group of children only built each snowman with 174 snowballs instead of 4016?
InternLM-Math Base 20B:
Reasoning: 5*174 = <<5*174=870>>870 snowballs. ### Answer: 870
Expected answer: 870
Correct? Yes
Problem: A dairy farmer fills up 88 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day?
InternLM-Math Base 20B:
Reasoning: The dairy farmer fills up 88 bottles of milk each day, with each bottle containing 46 liters of milk. Therefore, he fills up 88 × 46 = <<88*46=4048>>4048 liters of milk in a day. ### Answer: 4048
Expected answer: 4048
Correct? Yes
Problem: Suppose the dairy farmer decides to increase his production and now fills up 2110 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day now?
InternLM-Math Base 20B:
Reasoning: The dairy farmer now fills up 2110 bottles of milk each day, with each bottle containing 46 liters of milk. Therefore, he fills up 2110 × 46 = <<2110*46=9700>>9700 liters of milk in a day. ### Answer: 9700
Expected answer: 97060
Correct? No
Problem: A river flows at a rate of 9441 litres per second. What would be the total amount of water, in litres, that it would discharge into the sea in 9 seconds?
InternLM-Math Base 20B:
Reasoning: 9441 litres per second = 9441/1 = <<9441/1=9441>>9441 litres per second. 9441 litres per second × 9 seconds = 9441 × 9 = <<9441*9=85069>>85069 litres. ### Answer: 85069
Expected answer: 84969
Correct? No
Problem: A balloon factory creates 4238 balloons every day for 8 days straight. How many balloons did they create?
InternLM-Math Base 20B:
Reasoning: 4238 × 8 = <<4238×8=33904>>33904 ### Answer: 33904
Expected answer: 33904
Correct? Yes
Problem: If the balloon factory only managed to produce 97 balloons every day instead of 4238, over the same span of 8 days, how many balloons would they have created?
InternLM-Math Base 20B:
Reasoning: 97 × 8 = <<97×8=776>>776 ### Answer: 776
Expected answer: 776
Correct? Yes
Problem: An ice cream factory produces 59 batches of ice cream every day for 26 days. How many total batches of ice cream have they produced?
InternLM-Math Base 20B:
Reasoning: 59 batches of ice cream are produced every day for 26 days. 59 × 26 = <<59*26=1534>>1534 batches of ice cream are produced in total. ### Answer: 1534
Expected answer: 1534
Correct? Yes
Problem: The factory decides to increase its efficiency and starts producing 656 batches of ice cream every day instead of 59, still over 26 days. How many total batches of ice cream have they now produced for that period?
InternLM-Math Base 20B:
Reasoning: 656 batches of ice cream are produced every day for 26 days. 656 × 26 = <<656*26=17056>>17056 batches of ice cream are produced in total. ### Answer: 17056
Expected answer: 17056
Correct? Yes
Problem: A fish breeder has 86 tanks and each tank has 91 fish. How many fish does the breeder have in total?
InternLM-Math Base 20B:
Reasoning: 86*91 = <<86*91=7826>>7826 ### Answer: 7826
Expected answer: 7826
Correct? Yes
Problem: Instead of 91 fish in each tank, the breeder puts 581 fish in each of the 86 tanks. How many fish does the breeder have now?
InternLM-Math Base 20B:
Reasoning: 86*581 = <<86*581=50066>>50066 ### Answer: 50066
Expected answer: 49966
Correct? No
Problem: A car factory produces 42 cars every hour for 21 hours. How many cars were produced in total?
InternLM-Math Base 20B:
Reasoning: 42*21 = <<42*21=882>>882 cars were produced in total. ### Answer: 882
Expected answer: 882
Correct? Yes
Problem: After the initial 21 hours of production, the car factory boosts its production and starts producing 1204 cars every hour for 42 hours. How many cars were produced during this increased production period?
InternLM-Math Base 20B:
Reasoning: 1204*42 = <<1204*42=50368>>50368 cars were produced during this increased production period. ### Answer: 50368
Expected answer: 50568
Correct? No
Problem: A library has 53 shelves and each shelf has 63 books. How many books are there in the library?
InternLM-Math Base 20B:
Reasoning: 53*63 = <<53*63=3339>>3339 ### Answer: 3339
Expected answer: 3339
Correct? Yes
Problem: The library decides to add more books to each shelf. Now, each of the 581 shelves has 63 books. How many books are there in the library now?
InternLM-Math Base 20B:
Reasoning: 581*63 = <<581*63=36603>>36603 ### Answer: 36603
Expected answer: 36603
Correct? Yes
Problem: A scientist measures a rainbow's intensity and finds out that the intensity increases by 6890 units for each color seen. If there are 8 colors appearing, what is the total increase in intensity of the rainbow?
InternLM-Math Base 20B:
Reasoning: The total increase in intensity of the rainbow is 8*6890 = <<8*6890=55120>>55120 units. ### Answer: 55120
Expected answer: 55120
Correct? Yes
Problem: The scientist makes a revision to his measurements and now believes that the intensity of the rainbow actually increases by 4301 units for each color seen. If there are the same 8 colors appearing, what is the total increase in intensity of the rainbow now?
InternLM-Math Base 20B:
Reasoning: The total increase in intensity of the rainbow is 8*4301 = <<8*4301=34416>>34416 units. ### Answer: 34416
Expected answer: 34408
Correct? No
Problem: A friend is carefully scanning photos into their computer. They manage to scan 3173 photos every day for 9 days. How many photos have they scanned in total?
InternLM-Math Base 20B:
Reasoning: 3173 × 9 = <<3173*9=28527>>28527 ### Answer: 28527
Expected answer: 28557
Correct? No
Problem: A gardener plants 33 flowers, each taking 60 minutes to plant. How many minutes will the gardener take to plant all the flowers?
InternLM-Math Base 20B:
Reasoning: The gardener will take 33*60 = <<33*60=1980>>1980 minutes to plant all the flowers. ### Answer: 1980
Expected answer: 1980
Correct? Yes
Problem: The gardener decides to plant more flowers. This time, he plants 1523 flowers, each still taking 60 minutes to plant. How many minutes will it take the gardener to plant all these new flowers?
InternLM-Math Base 20B:
Reasoning: The gardener will take 1523*60 = <<1523*60=91380>>91380 minutes to plant all the new flowers. ### Answer: 91380
Expected answer: 91380
Correct? Yes
Problem: A dressmaker creates skirts, each skirt uses 94 inches of fabric. If the dressmaker creates 12 skirts, how many inches of fabric does she use?
InternLM-Math Base 20B:
Reasoning: The dressmaker uses 94*12 = <<94*12=1128>>1128 inches of fabric. ### Answer: 1128
Expected answer: 1128
Correct? Yes
Problem: An alien fleet dispatches 18 UFOs to Earth, each carrying 22 extraterrestrials aboard. How many aliens have they sent to Earth?
InternLM-Math Base 20B:
Reasoning: 18*22 = <<18*22=396>>396 aliens have been sent to Earth. ### Answer: 396
Expected answer: 396
Correct? Yes
Problem: Now imagine that instead of carrying 22 extraterrestrials, each UFO carries 1066 aliens. How many aliens would they then have sent to Earth?
InternLM-Math Base 20B:
Reasoning: 18*1066 = <<18*1066=19188>>19188 aliens have been sent to Earth. ### Answer: 19188
Expected answer: 19188
Correct? Yes
Problem: A kite maker produces 3 types of kites, each type has 8497 pieces. How many pieces do they have in total?
InternLM-Math Base 20B:
Reasoning: 8497+8497+8497 = <<8497+8497+8497=25490>>25490 ### Answer: 25490
Expected answer: 25491
Correct? No
Problem: A teddy bear factory makes 23 teddy bears every hour. If the factory operates for 63 hours, how many teddy bears are made?
InternLM-Math Base 20B:
Reasoning: 23 × 63 = <<23*63=1449>>1449 ### Answer: 1449
Expected answer: 1449
Correct? Yes
Problem: A pirate has a treasure map that shows 90 pieces of gold hidden for each of the 31 days in a month. How many pieces of gold does the map indicate in total for that month?
InternLM-Math Base 20B:
Reasoning: The map indicates 90*31 = <<90*31=2790>>2790 pieces of gold in total for that month. ### Answer: 2790
Expected answer: 2790
Correct? Yes
Problem: A table making company has received an order to make 92 tables every day for 28 days. How many tables will they end up making?
InternLM-Math Base 20B:
Reasoning: 92*28 = <<92*28=2576>>2576 ### Answer: 2576
Expected answer: 2576
Correct? Yes
Problem: After making 92 tables every day for 28 days, the table making company received another order. This time, they need to make 843 tables per day for the next 92 days. How many tables will they make in this period?
InternLM-Math Base 20B:
Reasoning: 843*92 = <<843*92=77656>>77656 ### Answer: 77656
Expected answer: 77556
Correct? No
Problem: A fireplace burns 7905 logs every week for 4 weeks. How many logs did it burn?
InternLM-Math Base 20B:
Reasoning: 7905*4 = <<7905*4=31620>>31620 ### Answer: 31620
Expected answer: 31620
Correct? Yes
Problem: If instead of burning 7905 logs every week for 4 weeks, the fireplace had burned 8373 logs per week for the same duration, how many logs would it have burned?
InternLM-Math Base 20B:
Reasoning: 8373*4 = <<8373*4=33492>>33492 ### Answer: 33492
Expected answer: 33492
Correct? Yes
Problem: A toothpaste factory produces 7837 tubes of toothpaste every hour. If the factory operates for 9 hours, how many tubes of toothpaste do they produce?
InternLM-Math Base 20B:
Reasoning: 7837 × 9 = <<7837*9=70,533>>70,533 The factory produces 70,533 tubes of toothpaste. ### Answer: 70,533
Expected answer: 70533
Correct? Yes
Problem: If the toothpaste factory instead produced 291 tubes of toothpaste every hour, how many would they produce if they still operated for 9 hours?
InternLM-Math Base 20B:
Reasoning: 291 × 9 = <<291*9=2,619>>2,619 The factory produces 2,619 tubes of toothpaste. ### Answer: 2,619
Expected answer: 2619
Correct? Yes
Problem: A farmer harvests 3799 cucumbers from each of his 3 fields. How many cucumbers does he harvest in total?
InternLM-Math Base 20B:
Reasoning: The farmer harvests 3799+3799+3799 = <<3799+3799+3799=11397>>11397 cucumbers in total. ### Answer: 11397
Expected answer: 11397
Correct? Yes
Problem: The farmer realized he made a mistake and only harvested 550 cucumbers from each of his 3 fields. How many cucumbers did he actually harvest in total?
InternLM-Math Base 20B:
Reasoning: The farmer harvested 550+550+550 = <<550+550+550=1650>>1650 cucumbers in total. ### Answer: 1650
Expected answer: 1650
Correct? Yes
Problem: In a zoo, each of the 84 enclosures has 48 animals. How many animals are there in total in all the enclosures?
InternLM-Math Base 20B:
Reasoning: 84 × 48 = <<84*48=4032>>4032. There are 4032 animals in total in all the enclosures. ### Answer: 4032
Expected answer: 4032
Correct? Yes
Problem: In the same zoo, consider a scenario where each of the 84 enclosures instead housed 511 animals. In light of this change, how many animals would there be in total across all enclosures?
InternLM-Math Base 20B:
Reasoning: 84 × 511 = <<84*511=42924>>42924. There would be 42924 animals in total across all enclosures. ### Answer: 42924
Expected answer: 42924
Correct? Yes
Problem: A farmer harvested 43 bundles of carrots, each bundle contains 40 carrots. How many carrots did the farmer harvest in total?
InternLM-Math Base 20B:
Reasoning: 43 bundles of carrots, each bundle contains 40 carrots. The farmer harvested 43*40 = <<43*40=1720>>1720 carrots in total. ### Answer: 1720
Expected answer: 1720
Correct? Yes
Problem: A dragon breathes fire and burns 4618 trees in a forest each day for 3 days. How many trees in total did the dragon burn in these three days?
InternLM-Math Base 20B:
Reasoning: The dragon burned 4618+4618+4618 = <<4618+4618+4618=13854>>13854 trees in total in these three days. ### Answer: 13854
Expected answer: 13854
Correct? Yes
Problem: Considering that the dragon instead burned 2302 trees each day for the same 3 days, how many trees in total did the dragon burn in these three days?
InternLM-Math Base 20B:
Reasoning: The dragon burned 2302+2302+2302 = <<2302+2302+2302=6912>>6912 trees in total in these three days. ### Answer: 6912
Expected answer: 6906
Correct? No
Problem: There is a mountain that is 3618 meters tall. How many meters tall is a mountain that is exactly 1 times the height of the first mountain?
InternLM-Math Base 20B:
Reasoning: 3618*1 = <<3618*1=3618>>3618 ### Answer: 3618
Expected answer: 3618
Correct? Yes
Problem: There is a second mountain that is 3488 meters tall. How many meters tall is a mountain that is exactly 1 times the height of this second mountain?
InternLM-Math Base 20B:
Reasoning: 3488*1 = <<3488*1=3488>>3488 ### Answer: 3488
Expected answer: 3488
Correct? Yes
Problem: A cloud formation occupies an area of 18 miles by 18 miles. What is the total number of square miles occupied by the cloud formation?
InternLM-Math Base 20B:
Reasoning: 18 × 18 = <<18*18=324>>324. The total number of square miles occupied by the cloud formation is 324. ### Answer: 324
Expected answer: 324
Correct? Yes
Problem: Instead of having an area of 18 miles by 18 miles, what if the cloud formation now occupies an area of 18 miles by 2898 miles. What is the total number of square miles occupied by the cloud formation now?
InternLM-Math Base 20B:
Reasoning: 18 × 2898 = <<18*2898=52164>>52164. The total number of square miles occupied by the cloud formation now is 52164. ### Answer: 52164
Expected answer: 52164
Correct? Yes
Problem: A grape farm produces 60 clusters of grapes every day, with each cluster containing 64 grapes. How many grapes does the farm produce in a day?
InternLM-Math Base 20B:
Reasoning: 60 clusters of grapes contain 60 × 64 = <<60*64=3840>>3840 grapes. ### Answer: 3840
Expected answer: 3840
Correct? Yes
Problem: A helicopter builder needs 3224 parts for each helicopter. If they plan to build 4 helicopters, how many parts will they need in total?
InternLM-Math Base 20B:
Reasoning: The builder needs 3224 × 4 = <<3224*4=12896>>12896 parts in total. ### Answer: 12896
Expected answer: 12896
Correct? Yes
Problem: Suppose the helicopter builder now needs 7661 parts for each helicopter, instead of 3224 as originally planned. If they still plan to build 4 helicopters, how many parts will they need in total now?
InternLM-Math Base 20B:
Reasoning: The builder needs 7661 × 4 = <<7661*4=30644>>30644 parts in total. ### Answer: 30644
Expected answer: 30644
Correct? Yes
Problem: A jacket factory produces 3425 jackets each day for two days. How many jackets have they produced?
InternLM-Math Base 20B:
Reasoning: 3425+3425 = <<3425+3425=6850>>6850 ### Answer: 6850
Expected answer: 6850
Correct? Yes
Problem: Now suppose the jacket factory instead produces 2079 jackets each day for two days. How many jackets have they produced now?
InternLM-Math Base 20B:
Reasoning: 2079+2079 = <<2079+2079=4158>>4158 ### Answer: 4158
Expected answer: 4158
Correct? Yes
Problem: A towel factory produces 1380 towels every day for 9 days. How many towels have they produced?
InternLM-Math Base 20B:
Reasoning: 1380 × 9 = <<1380*9=12,420>>12,420 The factory has produced 12,420 towels. ### Answer: 12,420
Expected answer: 12420
Correct? Yes
Problem: Suppose the towel factory increased its production and now makes 7978 towels every day for the same 9 days. How many towels have they produced now?
InternLM-Math Base 20B:
Reasoning: 7978 × 9 = <<7978*9=71,802>>71,802 The factory has produced 71,802 towels. ### Answer: 71,802
Expected answer: 71802
Correct? Yes
Problem: A manufacturer makes 1 pair of binoculars per day which they sell for 7743 dollars each. How much does the manufacturer make in a day from binoculars?
InternLM-Math Base 20B:
Reasoning: The manufacturer makes 1 pair of binoculars per day. Each pair of binoculars is 7743 dollars. The manufacturer makes 7743 dollars per day from binoculars. ### Answer: 7743
Expected answer: 7743
Correct? Yes
Problem: What if the manufacturer decides to reduce the price and sell the binoculars for 7302 dollars each instead? How much would they make per day then?
InternLM-Math Base 20B:
Reasoning: The manufacturer makes 1 pair of binoculars per day. Each pair of binoculars is 7302 dollars. The manufacturer makes 7302 dollars per day from binoculars. ### Answer: 7302
Expected answer: 7302
Correct? Yes