LLemma 7B on 4.NBT.B.5
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?
LLemma 7B:
Reasoning: 65/2 = <<65/2=32.5>>32.5 tickets in the first half of the 34 days. 65/2 = <<65/2=32.5>>32.5 tickets in the second half of the 34 days. <<32.5+32.5=65>>65 tickets in total. ### Answer: 65
Expected answer: 2210
Correct? No
Problem: A windmill generates 8086 kilowatts of electricity every day. How much electricity will it generate in 7 days?
LLemma 7B:
Reasoning: 8086 x 7 = <<8086*7=56602>>56602 kilowatts It will generate 56602 kilowatts in 7 days. ### 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?
LLemma 7B:
Reasoning: 5447 x 7 = <<5447*7=38009>>38009 kilowatts It would generate 38009 kilowatts in 7 days. ### Answer: 38009
Expected answer: 38129
Correct? No
Problem: A company produces 55 tubes of toothpaste every hour for 35 hours. How many tubes of toothpaste did they produce?
LLemma 7B:
Reasoning: 55*35 = <<55*35=1925>>1925 tubes of toothpaste. ### 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?
LLemma 7B:
Reasoning: 55*316 = <<55*316=17160>>17160 tubes of toothpaste. ### Answer: 17160
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?
LLemma 7B:
Reasoning: 96*83 = <<96*83=8016>>8016 keys in total. ### Answer: 8016
Expected answer: 7968
Correct? No
Problem: A company produces 9212 balls of a specific type every day for 9 consecutive days. How many balls did they produce overall?
LLemma 7B:
Reasoning: 9212*9 = <<9212*9=81952>>81952 balls ### Answer: 81952
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?
LLemma 7B:
Reasoning: 6353 is a whole number. ### 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?
LLemma 7B:
Reasoning: 229 is a whole number. ### 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?
LLemma 7B:
Reasoning: 76/45 = <<76/45=1.7142857142857142>> 1.7142857142857142 x 45 = <<1.7142857142857142*45=76>>76 cannonballs ### Answer: 76
Expected answer: 3420
Correct? No
Problem: A bus can carry 5244 passengers. How many passengers can 5 buses carry in total?
LLemma 7B:
Reasoning: 5 buses can carry 5*5244 = <<5*5244=26220>>26220 passengers in total. ### Answer: 26220
Expected answer: 26220
Correct? Yes
Problem: Following from the previous problem, imagine instead that each bus can carry 8347 passengers. How many passengers can 5 buses carry in total now?
LLemma 7B:
Reasoning: 5 buses can carry 5*8347 = <<5*8347=41735>>41735 passengers in total. ### Answer: 41735
Expected answer: 41735
Correct? Yes
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?
LLemma 7B:
Reasoning: They have saved 2008*2 = <<2008*2=4016>>4016 dollars 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?
LLemma 7B:
Reasoning: They have saved 125*2 = <<125*2=250>>250 dollars 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?
LLemma 7B:
Reasoning: 4916/4 = <<4916/4=1224>>1224 chocolate bars every hour. 1224*4 = <<1224*4=4916>>4916 chocolate bars every hour. ### Answer: 4916
Expected answer: 19664
Correct? No
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?
LLemma 7B:
Reasoning: 91/55 = <<91/55=1.68>>1.68 91*55 = <<91*55=4965>>4965 gold coins ### Answer: 4965
Expected answer: 5005
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?
LLemma 7B:
Reasoning: 50*12 = <<50*12=600>>600 grapes ### 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?
LLemma 7B:
Reasoning: 6804*12 = <<6804*12=80976>>80976 grapes ### Answer: 80976
Expected answer: 81648
Correct? No
Problem: A helicopter can carry 64 pounds every minute. If it works continuously for 75 minutes, how many pounds can the helicopter carry?
LLemma 7B:
Reasoning: 75 minutes x 64 pounds = <<75*64=4600>>4600 pounds ### Answer: 4600
Expected answer: 4800
Correct? No
Problem: A piano manufacturer produces 4750 pianos every week for 7 weeks. How many pianos have they produced in total?
LLemma 7B:
Reasoning: 4750*7 = <<4750*7=32500>>32500 ### Answer: 32500
Expected answer: 33250
Correct? No
Problem: A snow machine produces 8873 snowballs every hour for 8 hours. How many snowballs did it produce?
LLemma 7B:
Reasoning: 8873 x 8 = <<8873*8=70584>>70584 snowballs ### Answer: 70584
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?
LLemma 7B:
Reasoning: 84/8 = <<84/8=10.5>>10.5 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?
LLemma 7B:
Reasoning: 84/8 = <<84/8=10.5>>10.5 84*742 = <<84*742=62272>>62272 ### Answer: 62272
Expected answer: 62328
Correct? No
Problem: A doctor treats 5837 patients each day for 8 days. How many patients has the doctor treated?
LLemma 7B:
Reasoning: 5837 x 8 = <<5837*8=46,188>>46,188 patients ### Answer: 46,188
Expected answer: 46696
Correct? No
Problem: A tree farmer plants 4749 trees each day over 6 days. How many trees did he plant in total?
LLemma 7B:
Reasoning: 4749 x 6 = <<4749*6=28494>>28494 trees ### Answer: 28494
Expected answer: 28494
Correct? Yes
Problem: In the previous scenario with the tree farmer, suppose he has instead planted 4511 trees each day over the same 6 days. How many trees did he plant in total now?
LLemma 7B:
Reasoning: 4511 x 6 = <<4511*6=27066>>27066 trees ### Answer: 27066
Expected answer: 27066
Correct? Yes
Problem: A florist has 80 vases, each filled with 64 flowers. How many flowers are there in all the vases?
LLemma 7B:
Reasoning: 80 vases × 64 flowers = <<80*64=5120>>5120 flowers. ### 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?
LLemma 7B:
Reasoning: 80 vases × 891 flowers = <<80*891=71280>>71280 flowers. ### 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?
LLemma 7B:
Reasoning: 4932 = 4900 + 32 = 5000 - 70 + 32 = 5000 + 32 - 70 = 5000 + 25 - 70 = 5000 - 70 + 25 = 5000 - 45 = 5000 - 40 - 5 = 5000 - 5 - 40 = 5000 - 45 - 5 = 5000 - 50 + 5 = 5000 - 50 + 45 = 5000 - 50 + 40 + 5 = 5000 - 50 + 40 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 + 5 = 5000 - 50 + 45 +
Expected answer: 4932
Correct? Yes
Problem: Consider the quilt maker decided to create a larger blanket this time, needing a total of 7404 pieces of cloth. How many pieces of cloth would he/she have used in this case?
LLemma 7B:
Reasoning: 7404 = 7400 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500 - 50 + 4 = 7500
Expected answer: 7404
Correct? Yes
Problem: A pillow maker produces 40 pillows every hour for 17 hours. How many pillows did they make?
LLemma 7B:
Reasoning: 40*17 = <<40*17=680>>680 pillows. ### 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?
LLemma 7B:
Reasoning: 460*40 = <<460*40=18400>>18400 pillows. ### Answer: 18400
Expected answer: 18400
Correct? Yes
Problem: A monkey picks 9434 bananas each day for 7 days. How many bananas has the monkey picked in total?
LLemma 7B:
Reasoning: 9434*7 = <<9434*7=65948>>65948 bananas ### Answer: 65948
Expected answer: 66038
Correct? No
Problem: A ballerina performs 64 pirouettes each day for 21 days. How many pirouettes has she performed overall?
LLemma 7B:
Reasoning: 64*21 = <<64*21=1296>>1296 pirouettes ### Answer: 1296
Expected answer: 1344
Correct? No
Problem: A school bus transports 28 students to school every day for 12 days. How many students total have been transported?
LLemma 7B:
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?
LLemma 7B:
Reasoning: 8194*12 = <<8194*12=97088>>97088 students have been transported. ### Answer: 97088
Expected answer: 98328
Correct? No
Problem: A facility produces 78 balls per day for 22 days. How many balls do they produce in total?
LLemma 7B:
Reasoning: 78/2 = <<78/2=39>>39 balls per day for 22 days. 78+39 = <<78+39=117>>117 balls in total. ### Answer: 117
Expected answer: 1716
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?
LLemma 7B:
Reasoning: 22 batches * 64 glasses per batch = <<22*64=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?
LLemma 7B:
Reasoning: 22 batches * 821 glasses per batch = <<22*821=18,422>>18,422 glasses in a day. ### Answer: 18,422
Expected answer: 18062
Correct? No
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?
LLemma 7B:
Reasoning: 2836/5 = <<2836/5=567.2>>567.2 The bus covers 567.2 km altogether. ### Answer: 567.2
Expected answer: 14180
Correct? No
Problem: A pizza restaurant sells 1959 pizzas each day for a period of 4 consecutive days. How many pizzas did they sell altogether?
LLemma 7B:
Reasoning: 1959*4 = <<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?
LLemma 7B:
Reasoning: 772*4 = <<772*4=2976>>2976 pizzas altogether. ### Answer: 2976
Expected answer: 3088
Correct? No
Problem: A mouse eats 85 grains of rice per day for 93 days. How many grains of rice does the mouse eat in total?
LLemma 7B:
Reasoning: The mouse eats 85/93 = <<85/93=0.91>>0.91 grains of rice per day. The mouse eats 85*93 = <<85*93=7995>>7995 grains of rice in total. ### Answer: 7995
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?
LLemma 7B:
Reasoning: 83/18 = <<83/18=4.5>>4.5 floors. 4.5 x 18 = <<4.5*18=78>>78 windows. ### Answer: 78
Expected answer: 1494
Correct? No
Problem: A toothpaste company produced 2917 tubes for 3 consecutive days. How many toothpaste tubes did they produce in total?
LLemma 7B:
Reasoning: 2917/3 = <<2917/3=972.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
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?
LLemma 7B:
Reasoning: 90/81 = <<90/81=1>>1 erasers. 90*1 = <<90*1=90>>90 erasers. ### Answer: 90
Expected answer: 7290
Correct? No
Problem: A baker creates 2 cakes, each requiring 2585 grams of flour. How many grams of flour does the baker need in total?
LLemma 7B:
Reasoning: 2585*2 = <<2585*2=5170>>5170 grams of flour. ### 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?
LLemma 7B:
Reasoning: 6073*2 = <<6073*2=12146>>12146 grams of flour. ### 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?
LLemma 7B:
Reasoning: 3 necklaces with 7303 beads each = <<3*7303=21909>>21909 beads. ### Answer: 21909
Expected answer: 21909
Correct? Yes
Problem: Instead of using 7303 beads per necklace, the jewelry maker decides to use 9719 beads for each of the 3 necklaces. How many total beads did they use for the necklaces this time?
LLemma 7B:
Reasoning: 3 necklaces with 9719 beads each = <<3*9719=29157>>29157 beads. ### Answer: 29157
Expected answer: 29157
Correct? Yes
Problem: A fisherman catches 30 fish each day for 16 days. How many fish has he caught in total?
LLemma 7B:
Reasoning: 30*16 = <<30*16=480>>480 fish ### 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?
LLemma 7B:
Reasoning: 2193*30 = <<2193*30=65790>>65790 fish ### 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?
LLemma 7B:
Reasoning: 6 batches of 1868 liters = <<6*1868=11028>>11028 liters. ### Answer: 11028
Expected answer: 11208
Correct? No
Problem: A forest contains 74 trees and each tree produces 10 kilograms of fruits. How many kilograms of fruits does the forest produce?
LLemma 7B:
Reasoning: The forest produces 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?
LLemma 7B:
Reasoning: The trees produce 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?
LLemma 7B:
Reasoning: 41*21 = <<41*21=861>>861 carrots ### 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?
LLemma 7B:
Reasoning: 1194*41 = <<1194*41=47994>>47994 carrots ### Answer: 47994
Expected answer: 48954
Correct? No
Problem: A drum manufacturer produces 3070 drums per day for 7 days. How many drums are produced in total?
LLemma 7B:
Reasoning: 3070 x 7 = <<3070*7=21590>>21590 drums are produced in total. ### 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?
LLemma 7B:
Reasoning: 2949*6 = <<2949*6=17,794>>17,794 toothbrushes in that time. ### Answer: 17,794
Expected answer: 17694
Correct? No
Problem: A farm produces 8938 liters of milk every day for 4 days. How many liters of milk did the farm produce?
LLemma 7B:
Reasoning: 8938 x 4 = <<8938*4=35752>>35752 liters of milk. ### Answer: 35752
Expected answer: 35752
Correct? Yes
Problem: If the farm previously mentioned reduced its daily milk production to 2776 liter a day, but still maintained that production for 4 days. How many liters of milk would the farm produce now?
LLemma 7B:
Reasoning: 2776 x 4 = <<2776*4=11104>>11104 liters of milk. ### Answer: 11104
Expected answer: 11104
Correct? Yes
Problem: A puzzle creator designed 2588 puzzles each year for 9 years. How many puzzles did he design in total?
LLemma 7B:
Reasoning: 2588 puzzles each year for 9 years = <<2588*9=22784>>22784 puzzles in total. ### Answer: 22784
Expected answer: 23292
Correct? No
Problem: A person gives 2 gifts, each worth 9797 dollars. What is the total cost of the gifts?
LLemma 7B:
Reasoning: 97+97 = <<97+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?
LLemma 7B:
Reasoning: 6338/6338 = <<6338/6338=1>>1 diamond. 1 diamond is worth 6338 points. ### 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?
LLemma 7B:
Reasoning: 166/166 = <<166/166=1>>1 diamond. 1 diamond is worth 166 points. ### 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?
LLemma 7B:
Reasoning: 98/81 = <<98/81=1.21>>1.21 98*81 = <<98*81=8018>>8018 pairs of socks. ### Answer: 8018
Expected answer: 7938
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?
LLemma 7B:
Reasoning: The telescope magnifies the object 67 times. Each magnification adds 86 units to the object's size. The telescope magnifies the object 67 times and each magnification adds 86 units to the object's size. ### Answer: 67*86=5782
Expected answer: 5762
Correct? No
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?
LLemma 7B:
Reasoning: 1010 x 7 = <<1010*7=7070>>7070 computer units have they manufactured 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?
LLemma 7B:
Reasoning: 8413 x 7 = <<8413*7=58581>>58581 computer units have they manufactured in total now. ### Answer: 58581
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?
LLemma 7B:
Reasoning: 9888*2 = <<9888*2=19776>>19776 seconds. ### 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?
LLemma 7B:
Reasoning: 3435*2 = <<3435*2=6870>>6870 seconds. ### 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?
LLemma 7B:
Reasoning: 4535*4 = <<4535*4=18140>>18140 crayons. ### 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?
LLemma 7B:
Reasoning: 7780*4 = <<7780*4=31120>>31120 crayons. ### 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?
LLemma 7B:
Reasoning: 4563*7 = <<4563*7=31901>>31901 backpacks in total. ### Answer: 31901
Expected answer: 31941
Correct? No
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?
LLemma 7B:
Reasoning: 95*17 = <<95*17=1595>>1595 pairs of roller skates in a day. ### Answer: 1595
Expected answer: 1615
Correct? No
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?
LLemma 7B:
Reasoning: 97 pieces of wood are used for each chair. 97 chairs are designed. 97*97 = <<97*97=9409>>9409 pieces of wood are used 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?
LLemma 7B:
Reasoning: 269 pieces of wood are used for each chair. 97 chairs are designed. 269*97 = <<269*97=25553>>25553 pieces of wood are used in total. ### Answer: 25553
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?
LLemma 7B:
Reasoning: The store sells 20 pairs of ice skates per day. Each pair of ice skates costs$99. The total revenue in one day is 20 x $99 =$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?
LLemma 7B:
Reasoning: The store sells 943 pairs of ice skates per day. Each pair of ice skates costs $99. The total revenue in one day is 943 x $99 = $92,877. ### Answer: $92,877
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?
LLemma 7B:
Reasoning: 73/10 = <<73/10=7.3>>7.3 shrimp per flamingo. 7.3 x 10 = <<7.3*10=73>>73 shrimp for 10 flamingos. 73 x 73 = <<73*73=5329>>5329 shrimp for 73 flamingos. ### Answer: 5329
Expected answer: 730
Correct? No
Problem: A beach ball factory produces 83 beach balls each hour for 89 hours. How many beach balls have they made?
LLemma 7B:
Reasoning: 83/89 = <<83/89=0.93>>0.93 beach balls are produced each hour. 0.93 x 89 = <<0.93*89=82.47>>82.47 beach balls are produced each hour. 82.47 x 89 = <<82.47*89=7221.13>>7221.13 beach balls are produced each hour. 7221.13 x 89 = <<7221.13*89=63299.31>>63299.31 beach balls are produced each hour. 63299.31 x 89 = <<63299.31*89=568971.37>>568971.37 beach balls are produced each hour. 568971.37 x 89 = <<568971.37*89=5128673.31>>5128673.31 beach balls are produced each hour. 5128673.31 x 89 = <<5128673.31*89=45776511.39>>45776511.39 beach balls are produced each hour. 45776511.39 x 89 = <<45776511.39*89=411663901.37>>411663901.37 beach balls are produced each hour. 411663901.37 x 89 = <<411663901.37*89=3716627891.35>>3716627891.35 beach balls are produced each hour. 3716627891.35 x 89 = <<3716627891.35*89=33766167791.33>>33766167791.33 beach balls are produced each hour. 33766167791.33 x 89 = <<33766167791.33*89=30966056671.31>>30966056671.31 beach balls are produced each hour. 30966056671.31 x 89 = <<30966056671.31*89=28765945551.29>>28765945551.29 beach balls are produced each hour. 28765945551.29 x 89 = <<28765945551.29*89=26965834431.27>>26965834431.27 beach balls are produced each hour. 26965834431.27 x 89 = <<26965834431.27*89=25565723311.25>>25565723311.25 beach balls are produced each hour. 25565723311.25 x 89 = <<25565723311.25*89=24365612191.23>>24365612191.23 beach balls are produced each hour. 24365612191.23 x 89 = <<24365612191.23*89=23365501071.21>>23365501071.21 beach balls are produced each hour. 23365501
Expected answer: 7387
Correct? No
Problem: A marine biologist finds 91 groups of starfish, each group containing 36 starfish. How many starfish did they find in total?
LLemma 7B:
Reasoning: 91/36 = <<91/36=2.5>>2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 = 2.5 91/36 =
Expected answer: 3276
Correct? No
Problem: A community builds 37 jungle gyms, each one requiring 74 pieces. How many total pieces are used to build all the jungle gyms?
LLemma 7B:
Reasoning: 37/74 = <<37/74=0.5>>0.5 0.5 x 37 = <<0.5*37=18.5>>18.5 18.5 + 37 = <<18.5+37=55.5>>55.5 ### Answer: 55.5
Expected answer: 2738
Correct? No
Problem: A phone manufacturing company produces 9978 phones every hour for 9 hours. How many phones have they produced?
LLemma 7B:
Reasoning: 9978 x 9 = <<9978*9=89622>>89622 phones have they produced. ### Answer: 89622
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?
LLemma 7B:
Reasoning: 16*72 = <<16*72=1152>>1152 sequins. ### 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?
LLemma 7B:
Reasoning: 1016*72 = <<1016*72=73728>>73728 sequins. ### Answer: 73728
Expected answer: 73152
Correct? No
Problem: A shoe factory makes 5227 shoes every day for 8 days. How many shoes have they made?
LLemma 7B:
Reasoning: 5227 shoes are made every day for 8 days. 5227 x 8 = <<5227*8=41888>>41888 shoes are made in 8 days. ### Answer: 41888
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?
LLemma 7B:
Reasoning: 7975 x 4 = <<7975*4=31900>>31900 kilograms of cheese have they produced. ### 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?
LLemma 7B:
Reasoning: 4145 x 4 = <<4145*4=16580>>16580 kilograms of cheese would they have produced in 4 days. ### Answer: 16580
Expected answer: 16580
Correct? Yes
Problem: In a sandbox, there are 8061 grains of sand in each of 9 piles. How many grains of sand are there in total?
LLemma 7B:
Reasoning: 8061*9 = <<8061*9=72549>>72549 grains of sand in total. ### 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?
LLemma 7B:
Reasoning: 9553*9 = <<9553*9=85187>>85187 grains of sand in total. ### Answer: 85187
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?
LLemma 7B:
Reasoning: 20*93 = <<20*93=1860>>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?
LLemma 7B:
Reasoning: 20*2675 = <<20*2675=53500>>53500 emergency calls in total. ### Answer: 53500
Expected answer: 53500
Correct? Yes
Problem: A baby says 6569 words in a day for 8 days. How many words does the baby say in total?
LLemma 7B:
Reasoning: The baby says 6569/8 = <<6569/8=818.125>>818.125 words in a day. The baby says 818.125*8 = <<818.125*8=6568>>6568 words in total. ### Answer: 6568
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?
LLemma 7B:
Reasoning: 48/54 = <<48/54=0.8823529411764706>> 0.8823529411764706 x 54 = <<0.8823529411764706*54=48>>48 eggs The penguin lays 48 eggs in total. ### Answer: 48
Expected answer: 2592
Correct? No
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?
LLemma 7B:
Reasoning: 9*3084 = <<9*3084=27708>>27708 stitches in total across all hats. ### Answer: 27708
Expected answer: 27756
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?
LLemma 7B:
Reasoning: 3393/3 = <<3393/3=1131>>1131 strands of fur. ### Answer: 1131
Expected answer: 3393
Correct? No
Problem: A bakery makes 2 cakes, each with 2873 calories. How many calories are there in total?
LLemma 7B:
Reasoning: 2 cakes x 2873 calories = <<2*2873=5746>>5746 calories ### 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?
LLemma 7B:
Reasoning: 2 cakes x 5243 calories = <<2*5243=10486>>10486 calories ### 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?
LLemma 7B:
Reasoning: 9266/9 = <<9266/9=1029>>1029 They produced 1029*9 = <<1029*9=9267>>9267 sleeping bags. ### Answer: 9267
Expected answer: 83394
Correct? No
Problem: A candy factory produces 3108 candies every hour for 5 hours. How many candies have they produced?
LLemma 7B:
Reasoning: 3108 x 5 = <<3108*5=15540>>15540 candies ### Answer: 15540
Expected answer: 15540
Correct? Yes
Problem: A candy factory decides to increase their output and now produces 7880 candies every hour for 5 hours. How many candies have they produced now?
LLemma 7B:
Reasoning: 7880 x 5 = <<7880*5=39400>>39400 candies ### Answer: 39400
Expected answer: 39400
Correct? Yes
Problem: A group of children builds 5 snowmen with each snowman containing 4016 snowballs. How many snowballs have they used in total?
LLemma 7B:
Reasoning: 5*4016 = <<5*4016=20080>>20080 ### 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?
LLemma 7B:
Reasoning: 5*174 = <<5*174=870>>870 ### 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?
LLemma 7B:
Reasoning: 88*46 = <<88*46=4008>>4008 liters of milk. ### Answer: 4008
Expected answer: 4048
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?
LLemma 7B:
Reasoning: 9441 x 9 = <<9441*9=82699>>82699 litres ### Answer: 82699
Expected answer: 84969
Correct? No
Problem: A balloon factory creates 4238 balloons every day for 8 days straight. How many balloons did they create?
LLemma 7B:
Reasoning: 4238 x 8 = <<4238*8=33496>>33496 ### Answer: 33496
Expected answer: 33904
Correct? No
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?
LLemma 7B:
Reasoning: 59*26 = <<59*26=1514>>1514 batches of ice cream have they produced. ### Answer: 1514
Expected answer: 1534
Correct? No
Problem: A fish breeder has 86 tanks and each tank has 91 fish. How many fish does the breeder have in total?
LLemma 7B:
Reasoning: 86*91 = <<86*91=7836>>7836 fish ### Answer: 7836
Expected answer: 7826
Correct? No
Problem: A car factory produces 42 cars every hour for 21 hours. How many cars were produced in total?
LLemma 7B:
Reasoning: 42*21 = <<42*21=862>>862 cars were produced in total. ### Answer: 862
Expected answer: 882
Correct? No
Problem: A library has 53 shelves and each shelf has 63 books. How many books are there in the library?
LLemma 7B:
Reasoning: 53 shelves times 63 books per shelf = <<53*63=3279>>3279 books ### Answer: 3279
Expected answer: 3339
Correct? No
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?
LLemma 7B:
Reasoning: The total increase in intensity of the rainbow is 6890*8 = <<6890*8=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?
LLemma 7B:
Reasoning: The total increase in intensity of the rainbow is 4301*8 = <<4301*8=34488>>34488 units. ### Answer: 34488
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?
LLemma 7B:
Reasoning: 3173 x 9 = <<3173*9=28,017>>28,017 photos ### Answer: 28,017
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?
LLemma 7B:
Reasoning: 33/60 = <<33/60=0.55>>0.55 The gardener will take 0.55 x 33 = <<0.55*33=18.15>>18.15 minutes to plant all the flowers. ### Answer: 18.15
Expected answer: 1980
Correct? No
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?
LLemma 7B:
Reasoning: 12 skirts * 94 inches = <<12*94=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?
LLemma 7B:
Reasoning: 18 UFOs each carrying 22 extraterrestrials aboard. 18 x 22 = <<18*22=396>>396 aliens have they 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?
LLemma 7B:
Reasoning: 18 UFOs each carrying 1066 extraterrestrials aboard. 18 x 1066 = <<18*1066=19176>>19176 aliens have they sent to Earth. ### Answer: 19176
Expected answer: 19188
Correct? No
Problem: A kite maker produces 3 types of kites, each type has 8497 pieces. How many pieces do they have in total?
LLemma 7B:
Reasoning: 3 types of kites, each type has 8497 pieces. 3*8497 = <<3*8497=25481>>25481 pieces in total. ### Answer: 25481
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?
LLemma 7B:
Reasoning: 23*63 = <<23*63=1449>>1449 teddy bears are made. ### 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?
LLemma 7B:
Reasoning: 90/31 = <<90/31=2.90344827586206896551724137931034482758620689655172413793103448>> 90+2.90344827586206896551724137931034482758620689655172413793103448 = <<90+2.90344827586206896551724137931034482758620689655172413793103448=92.90344827586206896551724137931034482758620689655172413793103448>> 90+2.90344827586206896551724137931034482758620689655172413793103448 = <<90+2.90344827586206896551724137931034482758620689655172413793103448=92.90344827586206896551724137931034482758620689655172413793103448>> ### Answer: 92.90344827586206896551724137931034482758620689655172413793103448
Expected answer: 2790
Correct? No
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?
LLemma 7B:
Reasoning: 92 x 28 = <<92*28=2544>>2544 tables ### Answer: 2544
Expected answer: 2576
Correct? No
Problem: A fireplace burns 7905 logs every week for 4 weeks. How many logs did it burn?
LLemma 7B:
Reasoning: 7905/4 = <<7905/4=1976.25>>1976.25 logs It burned 1976.25 logs. ### Answer: 1976.25
Expected answer: 31620
Correct? No
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?
LLemma 7B:
Reasoning: 7837 x 9 = <<7837*9=70923>>70923 tubes of toothpaste. ### Answer: 70923
Expected answer: 70533
Correct? No
Problem: A farmer harvests 3799 cucumbers from each of his 3 fields. How many cucumbers does he harvest in total?
LLemma 7B:
Reasoning: 3799 x 3 = <<3799*3=11397>>11397 cucumbers ### 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?
LLemma 7B:
Reasoning: 550 x 3 = <<550*3=1650>>1650 cucumbers ### 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?
LLemma 7B:
Reasoning: Each enclosure has 48 animals. There are 84 enclosures. There are 48*84 = <<48*84=3840>>3840 animals in total in all the enclosures. ### Answer: 3840
Expected answer: 4032
Correct? No
Problem: A farmer harvested 43 bundles of carrots, each bundle contains 40 carrots. How many carrots did the farmer harvest in total?
LLemma 7B:
Reasoning: 43 bundles of carrots, each bundle contains 40 carrots. 43*40 = <<43*40=1720>>1720 carrots ### 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?
LLemma 7B:
Reasoning: The dragon burned 4618/3 = <<4618/3=1539.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Expected answer: 13854
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?
LLemma 7B:
Reasoning: 3618 x 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?
LLemma 7B:
Reasoning: 3488 x 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?
LLemma 7B:
Reasoning: The cloud formation occupies 18 miles by 18 miles. The cloud formation occupies 18*18 = <<18*18=324>>324 square miles. ### 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?
LLemma 7B:
Reasoning: The cloud formation occupies 18 miles by 2898 miles. The cloud formation occupies 18*2898 = <<18*2898=51204>>51204 square miles. ### Answer: 51204
Expected answer: 52164
Correct? No
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?
LLemma 7B:
Reasoning: 60 clusters of grapes each with 64 grapes = <<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?
LLemma 7B:
Reasoning: 3224 x 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?
LLemma 7B:
Reasoning: 7661 x 4 = <<7661*4=29444>>29444 parts in total. ### Answer: 29444
Expected answer: 30644
Correct? No
Problem: A jacket factory produces 3425 jackets each day for two days. How many jackets have they produced?
LLemma 7B:
Reasoning: 3425*2 = <<3425*2=6850>>6850 jackets have they produced. ### 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?
LLemma 7B:
Reasoning: 2079*2 = <<2079*2=4158>>4158 jackets have they produced. ### 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?
LLemma 7B:
Reasoning: 1380/9 = <<1380/9=154.4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
Expected answer: 12420
Correct? No
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?
LLemma 7B:
Reasoning: 7743 x 1 = <<7743*1=7743>>7743 ### 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?
LLemma 7B:
Reasoning: 7302 x 1 = <<7302*1=7302>>7302 ### Answer: 7302
Expected answer: 7302
Correct? Yes