Common Core Standard 5.NBT.B.5
This standard covers the following:
Fluently multiply multi-digit whole numbers using the standard algorithm.
Problem: If a clock ticks 225 times per hour, how many times will it tick in 65 hours?
LLemma 34B:
Reasoning: A clock ticks 225/60 = <<225/60=3.75>>3.75 times per minute. A clock ticks 3.75*60 = <<3.75*60=225>>225 times per hour. A clock ticks 225*65 = <<225*65=14,875>>14,875 times in 65 hours. ### Answer: 14,875
Expected answer: 14625
Correct? No
Problem: A camera shop makes four times more sales in the holiday season. If they usually sell 302 cameras in non-holiday seasons, how many cameras do they sell in the holiday season?
LLemma 34B:
Reasoning: The camera shop sells 302*4 = <<302*4=1208>>1208 cameras in the holiday season. ### Answer: 1208
Expected answer: 1208
Correct? Yes
Problem: A jeweler produces 423 rings each day. After 128 days of production, how many total rings have been produced?
LLemma 34B:
Reasoning: The jeweler produces 423*128 = <<423*128=55,904>>55,904 rings in 128 days. ### Answer: 55,904
Expected answer: 54144
Correct? No
Problem: A chocolate factory produces 3771 chocolate bars in one hour. If the factory operates for 17 hours in a day, how many chocolate bars does it produce in that time?
LLemma 34B:
Reasoning: The factory produces 3771*17 = <<3771*17=63297>>63297 chocolate bars in 17 hours. ### Answer: 63297
Expected answer: 64107
Correct? No
Problem: In a board game, if you earn 3973 points for each card you play and you managed to play 4 cards, how many points have you earned?
LLemma 34B:
Reasoning: You earned 3973*4 = <<3973*4=15892>>15892 points. ### Answer: 15892
Expected answer: 15892
Correct? Yes
Problem: In the same board game, let's say there was an update and now you earn 1436 points for each card you play. If you played 4 cards with the new rules, how many points have you earned now?
LLemma 34B:
Reasoning: You earned 1436*4 = <<1436*4=5744>>5744 points. ### Answer: 5744
Expected answer: 5744
Correct? Yes
Problem: A jewelry designer uses 459 small diamonds for each ring she makes. If she decides to make 141 rings, how many diamonds will she need in total?
LLemma 34B:
Reasoning: The jewelry designer will need 459*141 = <<459*141=63,969>>63,969 diamonds in total. ### Answer: 63,969
Expected answer: 64719
Correct? No
Problem: A famous restaurant sells a popular dish for $20. If they sold 4285 dishes, how much revenue did they generate from this dish alone?
LLemma 34B:
Reasoning: The restaurant generated $20*4285 = <<20*4285=85700>>$85700 from this dish alone. ### Answer: $85700
Expected answer: 85700
Correct? Yes
Problem: If the restaurant decided to change the recipe and the new dish was not as popular, selling only 1946 dishes for the same price of $20, how much revenue did the restaurant generate from this new dish?
LLemma 34B:
Reasoning: The restaurant generated $20*1946 = <<20*1946=38920>>$38920 from this new dish. ### Answer: $38920
Expected answer: 38920
Correct? Yes
Problem: A banana plantation produces 5998 bananas per tree. If a farmer has two such trees, how many bananas does the farmer produce from these two trees in total?
LLemma 34B:
Reasoning: The farmer produces 5998*2 = <<5998*2=11996>>11996 bananas from these two trees in total. ### Answer: 11996
Expected answer: 11996
Correct? Yes
Problem: If instead of 5998 bananas per tree, the farmer's trees were only able to produce 3185 bananas each, how many bananas would the two trees produce together?
LLemma 34B:
Reasoning: The farmer produces 3185*2 = <<3185*2=6370>>6370 bananas from these two trees in total. ### Answer: 6370
Expected answer: 6370
Correct? Yes
Problem: A skateboard manufacturer uses 14 screws for each skateboard. If they aim to produce 6085 skateboards, how many screws will they need?
LLemma 34B:
Reasoning: 14*6085 = <<14*6085=85470>>85470 screws will be needed. ### Answer: 85470
Expected answer: 85190
Correct? No
Problem: A water bottle factory produces 8688 bottles every day. If they continue production for a week (7 days), how many bottles would they produce?
LLemma 34B:
Reasoning: 8688 x 7 = <<8688*7=60,024>>60,024 bottles would be produced in a week. ### Answer: 60,024
Expected answer: 60816
Correct? No
Problem: A bicycle company produces 6347 bicycles every month. How many bicycles does the company produce in 11 months?
LLemma 34B:
Reasoning: The company produces 6347*11 = <<6347*11=69847>>69847 bicycles in 11 months. ### Answer: 69847
Expected answer: 69817
Correct? No
Problem: If a baby needs 9932 breaths a day, how many breaths does the baby need in 2 days?
LLemma 34B:
Reasoning: 9932*2 = <<9932*2=19864>>19864 breaths in 2 days. ### Answer: 19864
Expected answer: 19864
Correct? Yes
Problem: If instead, a baby needs 6860 breaths a day, how many breaths would the baby need in 2 days?
LLemma 34B:
Reasoning: 6860*2 = <<6860*2=13720>>13720 breaths in 2 days. ### Answer: 13720
Expected answer: 13720
Correct? Yes
Problem: A playground slide takes 8555 seconds for a child to fully descend. If a child decided to slide down 9 times in a row, how many seconds in total did the child spend sliding?
LLemma 34B:
Reasoning: The child spent 8555*9 = <<8555*9=76955>>76955 seconds in total sliding. ### Answer: 76955
Expected answer: 76995
Correct? No
Problem: A slide's length is measured and found to be 631 inches. If this length was increased by a factor of 36, how long would the slide be now?
LLemma 34B:
Reasoning: 631*36 = <<631*36=22996>>22996 inches. ### Answer: 22996
Expected answer: 22716
Correct? No
Problem: A toy factory produces 480 stuffed animals every hour. If they operate for 197 hours, how many stuffed animals would they have produced?
LLemma 34B:
Reasoning: 480*197 = <<480*197=92400>>92400 ### Answer: 92400
Expected answer: 94560
Correct? No
Problem: A carpenter is tasked to make 77 doors for a new building. Each door requires 1209 work units to complete. What is the total number of work units required to make all the doors?
LLemma 34B:
Reasoning: 77*1209 = <<77*1209=94433>>94433 work units are required to make all the doors. ### Answer: 94433
Expected answer: 93093
Correct? No
Problem: A farmer collected 2473 tomatoes from each tomato plant. If the farmer has 23 tomato plants, how many tomatoes did the farmer collect in total?
LLemma 34B:
Reasoning: The farmer collected 2473*23 = <<2473*23=57009>>57009 tomatoes in total. ### Answer: 57009
Expected answer: 56879
Correct? No
Problem: A store sells 699 pairs of pants each day. If the store is open 51 days in two months, how many pants do they sell in two months?
LLemma 34B:
Reasoning: The store sells 699*51 = <<699*51=35,549>>35,549 pairs of pants in two months. ### Answer: 35,549
Expected answer: 35649
Correct? No
Problem: If you multiply the number 3639 by 10, what result do you get?
LLemma 34B:
Reasoning: 3639*10 = <<3639*10=36390>>36390 ### Answer: 36390
Expected answer: 36390
Correct? Yes
Problem: If you multiply the number 7033 by 10 instead of 3639, what result do you get?
LLemma 34B:
Reasoning: 7033*10 = <<7033*10=70330>>70330 ### Answer: 70330
Expected answer: 70330
Correct? Yes
Problem: A convenience store sells packs of keys with each pack containing 6314 keys. If they just sold 14 packs, how many keys have they sold in total?
LLemma 34B:
Reasoning: 14*6314 = <<14*6314=8826>>8826 keys have been sold in total. ### Answer: 8826
Expected answer: 88396
Correct? No
Problem: In a sandbox game, a player needs 149 units of sand to build a castle. If they build 478 castles, how many units of sand did they use in total?
LLemma 34B:
Reasoning: 149*478 = <<149*478=69942>>69942 units of sand were used in total. ### Answer: 69942
Expected answer: 71222
Correct? No
Problem: A single colony of bees can produce 7364 grams of honey a day. If a beekeeper allows the bees to collect nectar and produce honey for 10 days, how many grams of honey does the colony produce?
LLemma 34B:
Reasoning: The colony produces 7364*10 = <<7364*10=73640>>73640 grams of honey. ### Answer: 73640
Expected answer: 73640
Correct? Yes
Problem: Suppose instead of 7364 grams of honey a day, a single colony of bees can actually produce 9201 grams of honey a day. If the beekeeper still allows the bees to collect nectar and produce honey for 10 days, how many grams of honey does the colony produce now?
LLemma 34B:
Reasoning: The colony produces 9201*10 = <<9201*10=92010>>92010 grams of honey. ### Answer: 92010
Expected answer: 92010
Correct? Yes
Problem: A factory manufactures 591 pairs of ice skates in a day. If they operate for 3 days straight, how many pairs of ice skates do they produce?
LLemma 34B:
Reasoning: 591*3 = <<591*3=1773>>1773 pairs of ice skates are produced. ### Answer: 1773
Expected answer: 1773
Correct? Yes
Problem: They now intend to increase their production and manufacture 1924 pairs of ice skates in a day. If they operate for the same 3 days, how many pairs of ice skates will they produce then?
LLemma 34B:
Reasoning: 1924*3 = <<1924*3=5772>>5772 pairs of ice skates will be produced. ### Answer: 5772
Expected answer: 5772
Correct? Yes
Problem: A certain region has 1381 species of frogs. If each species has an average of 18 unique characteristics, how many unique characteristics can be found across all frog species in the region?
LLemma 34B:
Reasoning: There are 1381*18 = <<1381*18=24718>>24718 unique characteristics across all frog species in the region. ### Answer: 24718
Expected answer: 24858
Correct? No
Problem: A pirate treasure chest contains 935 gold coins. If there were 93 identical treasure chests, how many gold coins would there be in total?
LLemma 34B:
Reasoning: If there were 93 identical treasure chests, there would be 93*935 = <<93*935=87,155>>87,155 gold coins in total. ### Answer: 87,155
Expected answer: 86955
Correct? No
Problem: A bed manufacturing company produces 4838 beds in a day. If the company operates 6 days a week, how many beds does it produce in a week?
LLemma 34B:
Reasoning: The company produces 4838*6 = <<4838*6=29088>>29088 beds in a week. ### Answer: 29088
Expected answer: 29028
Correct? No
Problem: A designer needs 806 yards of fabric to make one dress. If they want to make 3 dresses, how many yards of fabric do they need in total?
LLemma 34B:
Reasoning: 806*3 = <<806*3=2418>>2418 yards of fabric are needed in total. ### Answer: 2418
Expected answer: 2418
Correct? Yes
Problem: The designer now aims to make a more complex dress design that requires 7411 yards of fabric for one dress. If they want to make 3 of these dresses, how many yards of fabric will they need?
LLemma 34B:
Reasoning: 7411*3 = <<7411*3=22233>>22233 yards of fabric are needed in total. ### Answer: 22233
Expected answer: 22233
Correct? Yes
Problem: An astronaut at a space station on a long-duration mission takes 1907 breaths per hour. Find out the total number of breaths he takes in a day (24 hours).
LLemma 34B:
Reasoning: The astronaut takes 1907*24 = <<1907*24=45392>>45392 breaths in a day. ### Answer: 45392
Expected answer: 45768
Correct? No
Problem: If you earned 817 dollars every week for 109 weeks, how much money would you have earned in total?
LLemma 34B:
Reasoning: 817*109 = <<817*109=89933>>89933 ### Answer: 89933
Expected answer: 89053
Correct? No
Problem: A sandwich shop sells 832 sandwiches each day. How many sandwiches do they sell in 103 days?
LLemma 34B:
Reasoning: 832*103 = <<832*103=84672>>84672 sandwiches ### Answer: 84672
Expected answer: 85696
Correct? No
Problem: If one monkey can peel 1416 bananas in one hour, how many bananas would ten monkeys be able to peel in the same amount of time?
LLemma 34B:
Reasoning: Ten monkeys can peel 10*1416 = <<10*1416=14160>>14160 bananas in one hour. ### Answer: 14160
Expected answer: 14160
Correct? Yes
Problem: If each of the same ten monkeys from the previous question could peel 4876 bananas in an hour instead, how many bananas could they peel in total?
LLemma 34B:
Reasoning: Ten monkeys can peel 10*4876 = <<10*4876=48760>>48760 bananas in one hour. ### Answer: 48760
Expected answer: 48760
Correct? Yes
Problem: A dragon has 9996 scales on one side of its body. If the dragon has scales on both sides and the tail with the same amount, a total of 5 parts. How many scales does the dragon have in total?
LLemma 34B:
Reasoning: The dragon has 9996/2 = <<9996/2=4998>>4998 scales on one side of its body. The dragon has 4998*5 = <<4998*5=24990>>24990 scales in total. ### Answer: 24990
Expected answer: 49980
Correct? No
Problem: A sunglasses manufacturer makes 456 pairs of sunglasses per day. If there is a continuous production for 89 days, how many pairs of sunglasses did the manufacturer produce?
LLemma 34B:
Reasoning: The manufacturer produced 456*89 = <<456*89=41,176>>41,176 pairs of sunglasses. ### Answer: 41,176
Expected answer: 40584
Correct? No
Problem: A doctor has 19 patients in a day and each visit lasts 1943 seconds. How much time in seconds does the doctor spend seeing patients in one day?
LLemma 34B:
Reasoning: The doctor sees 19 patients in one day. Each visit lasts 1943 seconds. The doctor spends 19*1943 = <<19*1943=36807>>36807 seconds seeing patients in one day. ### Answer: 36807
Expected answer: 36917
Correct? No
Problem: A farmer has 600 apple trees in his farm. Each apple tree produces 123 apples in a fruiting season. How many apples does the farmer get in one season?
LLemma 34B:
Reasoning: 600*123 = <<600*123=75600>>75600 apples. ### Answer: 75600
Expected answer: 73800
Correct? No
Problem: A giraffe spends approximately 15 hours a day eating. If a single hour of eating requires them to consume 5490 leaves, how many leaves will a giraffe eat in one day?
LLemma 34B:
Reasoning: A giraffe eats for 15 hours a day. A giraffe eats 15*5490 = <<15*5490=82350>>82350 leaves in one day. ### Answer: 82350
Expected answer: 82350
Correct? Yes
Problem: A marshmallow company can produce 4116 marshmallows in one hour. If the company operates for 3 hours, how many marshmallows will they produce?
LLemma 34B:
Reasoning: The company can produce 4116*3 = <<4116*3=12348>>12348 marshmallows in 3 hours. ### Answer: 12348
Expected answer: 12348
Correct? Yes
Problem: The marshmallow company found a way to increase their production to 4432 marshmallows in one hour. If the company still operates for 3 hours, how many marshmallows will they now produce?
LLemma 34B:
Reasoning: The company can produce 4432*3 = <<4432*3=13296>>13296 marshmallows in 3 hours. ### Answer: 13296
Expected answer: 13296
Correct? Yes
Problem: Each cloud in a particular region weighs an average of 2885 kg. If there are about 29 of such clouds in the sky at once, how much total weight do they represent?
LLemma 34B:
Reasoning: 29*2885 = <<29*2885=83,505>>83,505 ### Answer: 83,505
Expected answer: 83665
Correct? No
Problem: In a fairyland, a fairy can spread magic dust 43 times a day. Each time, she uses up 2230 tiny sparkling magic dust particles. How many particles does she use up in one day?
LLemma 34B:
Reasoning: The fairy uses up 43*2230 = <<43*2230=9420>>9420 particles in one day. ### Answer: 9420
Expected answer: 95890
Correct? No
Problem: A camera making factory produces 2818 cameras in a day. If the factory operates for 27 days, how many cameras were produced in the 27 days?
LLemma 34B:
Reasoning: 2818 × 27 = <<2818*27=75996>>75996 cameras were produced in the 27 days. ### Answer: 75996
Expected answer: 76086
Correct? No
Problem: On a wildlife reservation, there are 177 elephants. Each elephant consumes 326 kg of food each day. How many kilograms of food do the elephants consume in total in a single day?
LLemma 34B:
Reasoning: 177*326 = <<177*326=57,932>>57,932 kg of food are consumed in total in a single day. ### Answer: 57,932
Expected answer: 57702
Correct? No
Problem: A cloud can hold about 1800 liters of water per cubic meter. If a certain cloud has an approximate volume of 20 cubic meters, how many liters of water can this cloud hold?
LLemma 34B:
Reasoning: 1800*20 = <<1800*20=36000>>36000 liters of water can this cloud hold. ### Answer: 36000
Expected answer: 36000
Correct? Yes
Problem: Assuming the same cloud from the previous problem now holds only about 830 liters of water per cubic meter. How many liters of water would this cloud hold with the same volume of 20 cubic meters?
LLemma 34B:
Reasoning: 830*20 = <<830*20=16600>>16600 liters of water would this cloud hold. ### Answer: 16600
Expected answer: 16600
Correct? Yes
Problem: A bakery sells each cake for $1562. If they sold 43 cakes in a day, how much did they earn?
LLemma 34B:
Reasoning: The bakery earned 43*$1562 = <<43*$1562=67906>>$67906. ### Answer: $67906
Expected answer: 67166
Correct? No
Problem: A particular kind of balloon can lift 34 grams. If a large experiment requires 2452 of these balloons to lift it, how many grams can the experiment weigh in total?
LLemma 34B:
Reasoning: 2452 × 34 = <<2452*34=82080>>82080 grams can the experiment weigh in total. ### Answer: 82080
Expected answer: 83368
Correct? No
Problem: A roller skate manufacturing company machines 6857 sets of wheels per day. If the full production run lasted for 10 days, how many sets of wheels were made?
LLemma 34B:
Reasoning: 6857*10 = <<6857*10=68570>>68570 sets of wheels were made. ### Answer: 68570
Expected answer: 68570
Correct? Yes
Problem: If instead the roller skate manufacturing company produced 4400 sets of wheels per day and continued this for 10 days, how many sets of wheels were made under this new condition?
LLemma 34B:
Reasoning: 4400*10 = <<4400*10=44000>>44000 sets of wheels were made. ### Answer: 44000
Expected answer: 44000
Correct? Yes
Problem: A designer jacket maker produces 25 jackets per day. If he continues this production rate for 1333 days, how many jackets would he have produced in total?
LLemma 34B:
Reasoning: The designer jacket maker produces 25*1333 = <<25*1333=33325>>33325 jackets in total. ### Answer: 33325
Expected answer: 33325
Correct? Yes
Problem: If instead of 1333 days, the designer jacket maker continued his production rate of 25 jackets per day over 2353 days, how many jackets would he have produced then?
LLemma 34B:
Reasoning: The designer jacket maker produces 25*2353 = <<25*2353=59325>>59325 jackets in total. ### Answer: 59325
Expected answer: 58825
Correct? No
Problem: A factory can produce 46 bottles per minute. If it runs continuously for 1337 minutes, how many bottles are produced in total?
LLemma 34B:
Reasoning: The factory can produce 46*1337 = <<46*1337=62092>>62092 bottles in total. ### Answer: 62092
Expected answer: 61502
Correct? No
Problem: A hat company manufactures an average of 694 hats each day. After keeping the machines running for 107 continuous days, how many hats were produced?
LLemma 34B:
Reasoning: The company produced 694*107 = <<694*107=73,378>>73,378 hats. ### Answer: 73,378
Expected answer: 74258
Correct? No
Problem: A farmer grows 31 cucumbers each day. After 2955 days, how many cucumbers has the farmer grown?
LLemma 34B:
Reasoning: The farmer grows 31 cucumbers each day. The farmer grows 31*2955 = <<31*2955=92,235>>92,235 cucumbers altogether. ### Answer: 92,235
Expected answer: 91605
Correct? No
Problem: A grape vine produces 10 bunches of grapes in a day. If each bunch of grapes sells for 715 dollars, how much worth of grapes does a vine produce each day?
LLemma 34B:
Reasoning: 10*715 = <<10*715=7150>>7150 ### Answer: 7150
Expected answer: 7150
Correct? Yes
Problem: A plane flies at a speed of 850 kilometers per hour. If it flies continuously for 109 hours, how many kilometers will it have flown?
LLemma 34B:
Reasoning: The plane will have flown 850*109 = <<850*109=93550>>93550 kilometers. ### Answer: 93550
Expected answer: 92650
Correct? No
Problem: An ice skate store sold 548 pairs of ice skates each week. If ice skating season lasts 179 weeks, how many pairs of ice skates did the store sell in total during that time?
LLemma 34B:
Reasoning: The store sold 548*179 = <<548*179=99904>>99904 pairs of ice skates in total. ### Answer: 99904
Expected answer: 98092
Correct? No
Problem: A flower shop sells an exotic flower for 2293 dollars. If they sold 37 of these flowers, how much did they earn in total?
LLemma 34B:
Reasoning: The flower shop earned 2293*37 = <<2293*37=85001>>85001 dollars in total. ### Answer: 85001
Expected answer: 84841
Correct? No
Problem: A pirate ship has 475 crew members, each having their personal 89 gold coins stash. How many gold coins are there in total on the pirate ship?
LLemma 34B:
Reasoning: There are 475*89 = <<475*89=43125>>43125 gold coins on the pirate ship. ### Answer: 43125
Expected answer: 42275
Correct? No
Problem: A hat shop sells 159 hats each week. In one year, which is 369 weeks, how many hats are sold in total?
LLemma 34B:
Reasoning: 159*369 = <<159*369=58,641>>58,641 hats are sold in total. ### Answer: 58,641
Expected answer: 58671
Correct? No
Problem: A pirate ship can carry 8690 pounds of gold. If the ship is carrying 2 loads of gold on their trip, how much total weight of gold does the ship have?
LLemma 34B:
Reasoning: 2*8690 = <<2*8690=17380>>17380 pounds of gold. ### Answer: 17380
Expected answer: 17380
Correct? Yes
Problem: In a subsequent trip, the pirate ship is only able to carry 3457 pounds of gold per load instead of the usual 8690. If the ship is still carrying 2 loads of gold, how much total weight of gold does the ship have now?
LLemma 34B:
Reasoning: 2*3457 = <<2*3457=6914>>6914 pounds of gold. ### Answer: 6914
Expected answer: 6914
Correct? Yes
Problem: A library has 20 shelves and each shelf can hold 3909 books. How many books can the library hold in total?
LLemma 34B:
Reasoning: The library can hold 20*3909 = <<20*3909=78180>>78180 books in total. ### Answer: 78180
Expected answer: 78180
Correct? Yes
Problem: If the library was remodeled and now only has the capacity to hold 1920 books per shelf instead of 3909 books, how many books can the library hold in total with 20 shelves?
LLemma 34B:
Reasoning: The library can hold 20*1920 = <<20*1920=38400>>38400 books in total. ### Answer: 38400
Expected answer: 38400
Correct? Yes
Problem: Each superhero action figure comes in a set of 4. If there are 8193 of these sets, how many individual superhero action figures do we have in total?
LLemma 34B:
Reasoning: There are 8193*4 = <<8193*4=32772>>32772 individual superhero action figures. ### Answer: 32772
Expected answer: 32772
Correct? Yes
Problem: If in reality, each superhero action figure comes in a set of 4 but there are only 3706 sets, how many individual superhero action figures do we have in total now?
LLemma 34B:
Reasoning: There are 3706*4 = <<3706*4=14824>>14824 individual superhero action figures. ### Answer: 14824
Expected answer: 14824
Correct? Yes
Problem: A farmer has 177 plots of land, each of which yields 380 carrots. How many carrots does the farmer harvest in total?
LLemma 34B:
Reasoning: The farmer harvests 177*380 = <<177*380=66,660>>66,660 carrots in total. ### Answer: 66,660
Expected answer: 67260
Correct? No
Problem: A wizard casts a spell that yields 2009 magical orbs. If he cast this spell 4 times, how many magical orbs did he produce in total?
LLemma 34B:
Reasoning: The wizard produced 2009*4 = <<2009*4=8036>>8036 magical orbs in total. ### Answer: 8036
Expected answer: 8036
Correct? Yes
Problem: In a different magical scenario, the wizard casts a similar spell, but this time it only yields 2769 magical orbs. If he cast this reduced orb spell four times, how many magical orbs did he produce in total?
LLemma 34B:
Reasoning: The wizard produced 2769*4 = <<2769*4=11076>>11076 magical orbs in total. ### Answer: 11076
Expected answer: 11076
Correct? Yes
Problem: A helicopter can cover 2265 miles in a day. How many miles can it cover in 28 days?
LLemma 34B:
Reasoning: The helicopter can cover 2265*28 = <<2265*28=61580>>61580 miles in 28 days. ### Answer: 61580
Expected answer: 63420
Correct? No
Problem: A jewelry maker uses 1516 beads to create one necklace. If he made 51 necklaces, how many beads did he use in total?
LLemma 34B:
Reasoning: The jewelry maker used 1516*51 = <<1516*51=7680>>7680 beads in total. ### Answer: 7680
Expected answer: 77316
Correct? No
Problem: A teacher has decided to use a new teaching method where every student must tackle a bundle of 425 tasks independently. If the teacher has 116 students in their class, how many tasks in total will these students be completing?
LLemma 34B:
Reasoning: The teacher has 116 students in their class. Each student must tackle a bundle of 425 tasks independently. Therefore, the total number of tasks that will be completed is 116*425 = <<116*425=49500>>49500. ### Answer: 49500
Expected answer: 49300
Correct? No
Problem: A farmer's yield is 72 cucumbers per plant. If the farmer has 255 plants, how many cucumbers does he yield altogether?
LLemma 34B:
Reasoning: The farmer yields 72*255 = <<72*255=18,360>>18,360 cucumbers altogether. ### Answer: 18,360
Expected answer: 18360
Correct? Yes
Problem: If each plant instead produced a yield of 203 cucumbers, how many cucumbers would the farmer yield from his 255 plants?
LLemma 34B:
Reasoning: The farmer would yield 203*255 = <<203*255=51,815>>51,815 cucumbers altogether. ### Answer: 51,815
Expected answer: 51765
Correct? No
Problem: In a fireplace shop, each fireplace costs $1047. If they sell 84 fireplaces, how much money does the shop make?
LLemma 34B:
Reasoning: The shop makes 84*$1047 = <<84*1047=86338>>$86338. ### Answer: $86338
Expected answer: 87948
Correct? No
Problem: A snail travels at a speed of 1681 millimeters per hour. If it continues moving for 37 hours, how many millimeters will it travel?
LLemma 34B:
Reasoning: The snail will travel 1681*37 = <<1681*37=61127>>61127 millimeters. ### Answer: 61127
Expected answer: 62197
Correct? No
Problem: A pencil maker has 9658 pencils. If the pencil maker decides to distribute them evenly over 1 store, how many pencils will that store receive?
LLemma 34B:
Reasoning: 9658/1 = <<9658/1=9658>>9658 pencils will that store receive. ### Answer: 9658
Expected answer: 9658
Correct? Yes
Problem: Instead of 9658 pencils, suppose the pencil maker originally had 7883 pencils. If the pencil maker decides to distribute them evenly over 1 store, how many pencils will that store now receive?
LLemma 34B:
Reasoning: 7883/1 = <<7883/1=7883>>7883 pencils will that store now receive. ### Answer: 7883
Expected answer: 7883
Correct? Yes
Problem: A bead shop sells individual beads for making necklaces. Each bead costs 1056 dollars and a designer buys 37 of them for a fancy necklace. How much does she spend on beads?
LLemma 34B:
Reasoning: Each bead costs 1056 dollars. The designer spends 1056*37 = <<1056*37=39122>>39122 dollars on beads. ### Answer: 39122
Expected answer: 39072
Correct? No
Problem: A group of penguins usually eats an average of 19 kg of fish per day. If this continuous for 3327 days, then what's the total amount of fish that the group would consume?
LLemma 34B:
Reasoning: The group would consume 19*3327 = <<19*3327=63393>>63393 kg of fish. ### Answer: 63393
Expected answer: 63213
Correct? No
Problem: A juice company sells 2921 crates of juice each day. If a crate contains 25 juice packs, how many packs of juice does the company sell each day?
LLemma 34B:
Reasoning: 2921 crates contain 2921*25 = <<2921*25=73025>>73025 packs of juice. ### Answer: 73025
Expected answer: 73025
Correct? Yes
Problem: If the juice company changed the packaging such that a crate now contains only 1345 juice packs instead of 2921, how many juice packs would the company sell each day if they still sold 25 crates a day?
LLemma 34B:
Reasoning: 25 crates contain 25*1345 = <<25*1345=33625>>33625 packs of juice. ### Answer: 33625
Expected answer: 33625
Correct? Yes
Problem: A furniture factory can produce 6287 tables in a week. If they maintain their current production rate, how many tables will they produce in 3 weeks?
LLemma 34B:
Reasoning: 6287*3 = <<6287*3=18861>>18861 tables. ### Answer: 18861
Expected answer: 18861
Correct? Yes
Problem: If the furniture factory could only produce 2093 tables a week instead of 6287, how many tables would they make in 3 weeks at this decreased production rate?
LLemma 34B:
Reasoning: 2093*3 = <<2093*3=6280>>6280 tables. ### Answer: 6280
Expected answer: 6279
Correct? No
Problem: A sock production factory has the capacity to produce 869 socks in an hour. If they operate 31 hours in a row, how many socks do they produce in total during that period?
LLemma 34B:
Reasoning: The factory produces 869*31 = <<869*31=26999>>26999 socks in total during that period. ### Answer: 26999
Expected answer: 26939
Correct? No
Problem: A rainbow was said to occur 1347 times in a year in a particular area. If 22 years have passed since the record was kept, how many times has the rainbow been spotted in those years?
LLemma 34B:
Reasoning: The rainbow was spotted 1347*22 = <<1347*22=29304>>29304 times in those years. ### Answer: 29304
Expected answer: 29634
Correct? No
Problem: A certain cloud formation can hold 1859 gallons of water per square mile. If the cloud was spread out over 10 square miles, how much water could it hold?
LLemma 34B:
Reasoning: The cloud could hold 1859*10 = <<1859*10=18590>>18590 gallons of water. ### Answer: 18590
Expected answer: 18590
Correct? Yes
Problem: Suppose the cloud formation from the previous problem turned out to be a bit larger, and is instead spread over 2622 square miles. If it still retains the same holding capacity of 10 gallons per square mile, how much water could this larger cloud formation hold now?
LLemma 34B:
Reasoning: The cloud could hold 10*2622 = <<10*2622=26220>>26220 gallons of water. ### Answer: 26220
Expected answer: 26220
Correct? Yes
Problem: A card shop sells a pack of cards for 439 dollars. If they sell 79 packs, how much revenue will they earn?
LLemma 34B:
Reasoning: 439*79 = <<439*79=35,201>>35,201 ### Answer: 35,201
Expected answer: 34681
Correct? No
Problem: A jungle gym manufacturer uses 1429 bolts for each jungle gym they build. If they built 47 jungle gyms, how many bolts did they use in total?
LLemma 34B:
Reasoning: 1429*47 = <<1429*47=67043>>67043 ### Answer: 67043
Expected answer: 67163
Correct? No
Problem: A backpack company sells backpacks in bundles of 1283. If a big school orders 64 bundles, how many backpacks does the school order in total?
LLemma 34B:
Reasoning: 64 bundles of 1283 = <<64*1283=83968>>83968 backpacks. ### Answer: 83968
Expected answer: 82112
Correct? No
Problem: A farmer produces 3813 pounds of grain each month. If they continue this production for 6 months, how many pounds of grain will they have produced?
LLemma 34B:
Reasoning: 3813*6 = <<3813*6=22878>>22878 pounds of grain will be produced. ### Answer: 22878
Expected answer: 22878
Correct? Yes
Problem: A jeweler makes 158 pairs of earrings each day. If she works 142 days a year, how many pairs of earrings does she make in a year?
LLemma 34B:
Reasoning: 158*142 = <<158*142=22,196>>22,196 pairs of earrings. ### Answer: 22,196
Expected answer: 22436
Correct? No
Problem: A manufacturer can make 48 wallets in one hour. If they worked for 1244 hours straight without any breaks, how many wallets could they make?
LLemma 34B:
Reasoning: 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is the same as 1244/1 = <<1244/1=1244>>1244 hours. 1244/1 = <<1244/1=1244>>1244 hours is
Expected answer: 59712
Correct? No
Problem: A new phone model sells for $3915 each. If a store sells 15 of these phones, how much revenue does the store generate from them?
LLemma 34B:
Reasoning: The store generates $3915*15 = <<3915*15=58675>>58675 revenue from them. ### Answer: 58675
Expected answer: 58725
Correct? No
Problem: A caterer needs 40 grams of sugar to bake one cookie. If they need to bake 985 cookies for an event, how much sugar will they need in grams?
LLemma 34B:
Reasoning: 985/40 = <<985/40=24.625>>24.625 grams of sugar will be needed. ### Answer: 24.625
Expected answer: 39400
Correct? No
Problem: A park has 4798 trees. If each tree produces 11 pounds of oxygen per year, how much oxygen does the park produce in a year?
LLemma 34B:
Reasoning: 4798*11 = <<4798*11=52678>>52678 pounds of oxygen. ### Answer: 52678
Expected answer: 52778
Correct? No
Problem: A juice company produces 2146 bottles of juice daily. If they are able to keep up this production rate for 46 days, how many bottles do they produce in that time?
LLemma 34B:
Reasoning: The juice company produces 2146*46 = <<2146*46=99936>>99936 bottles of juice in 46 days. ### Answer: 99936
Expected answer: 98716
Correct? No
Problem: A helicopter is equipped with 10 fuel tanks. Each of these tanks can hold 4366 liters of fuel. When fully loaded, how much fuel does the helicopter hold?
LLemma 34B:
Reasoning: The helicopter holds 10*4366 = <<10*4366=43660>>43660 liters of fuel. ### Answer: 43660
Expected answer: 43660
Correct? Yes
Problem: A school bus can carry 637 students. If there are 148 school buses, how many students can all of the school buses carry in total?
LLemma 34B:
Reasoning: 148*637 = <<148*637=94096>>94096 students can all of the school buses carry in total. ### Answer: 94096
Expected answer: 94276
Correct? No
Problem: A jacket designer pays $480 to create each prototype. If the designer made 121 prototypes before finalizing the design, how much total did she spend on creating the prototypes?
LLemma 34B:
Reasoning: The designer spent $480*121 = <<480*121=58080>>58080 on creating the prototypes. ### Answer: 58080
Expected answer: 58080
Correct? Yes
Problem: Following the same jacket designer, she realized that she could reduce her prototype costs to $158 per prototype. If she still made 121 prototypes, how much total would she spend on creating the prototypes with this reduced cost?
LLemma 34B:
Reasoning: The designer spent $158*121 = <<158*121=19398>>19398 on creating the prototypes. ### Answer: 19398
Expected answer: 19118
Correct? No
Problem: In a skating equipment store, they sell ice skates for $106 each. On a particularly successful day, the store sells 406 pairs of ice skates. How much money does the store make from selling ice skates on that day?
LLemma 34B:
Reasoning: The store makes 406*106 = <<406*106=42360>>$42360 from selling ice skates on that day. ### Answer: $42360
Expected answer: 43036
Correct? No
Problem: The sun emits 133 units of light energy every second. If the energy is measured over a period of 61 seconds, how much energy does the sun emit in that time?
LLemma 34B:
Reasoning: The sun emits 133*61 = <<133*61=8,053>>8,053 units of light energy in 61 seconds. ### Answer: 8,053
Expected answer: 8113
Correct? No
Problem: A farmer has 8714 chickens and each of them lays 5 eggs every day. How many eggs are laid by all the chickens in a day?
LLemma 34B:
Reasoning: 8714 chickens lay 8714*5 = <<8714*5=43570>>43570 eggs in a day. ### Answer: 43570
Expected answer: 43570
Correct? Yes
Problem: Now consider that the farmer only has 4714 chickens instead of 8714. Assuming each chicken still lays 5 eggs every day, how many eggs are laid by all the chickens in a day now?
LLemma 34B:
Reasoning: 4714 chickens lay 4714*5 = <<4714*5=23570>>23570 eggs in a day. ### Answer: 23570
Expected answer: 23570
Correct? Yes
Problem: A drum circle event has 4417 drummers attending. If each drummer brings 13 drums, how many drums are at the event in total?
LLemma 34B:
Reasoning: 4417*13 = <<4417*13=57931>>57931 drums are at the event in total. ### Answer: 57931
Expected answer: 57421
Correct? No
Problem: A factory produces 3017 mobile phones per day. If they continue this rate of production for 4 days, how many phones will they produce?
LLemma 34B:
Reasoning: 3017*4 = <<3017*4=12068>>12068 phones will be produced. ### Answer: 12068
Expected answer: 12068
Correct? Yes
Problem: Consider the same mobile phone factory from the previous question. But this time, instead of producing 3017 phones per day, they ramp up their production to 8805 phones per day. If they continue this rate of production for 4 days, how many phones will they produce now?
LLemma 34B:
Reasoning: 8805*4 = <<8805*4=35220>>35220 phones will be produced. ### Answer: 35220
Expected answer: 35220
Correct? Yes
Problem: A wind turbine generates 6843 kilowatt-hours of electricity per hour. If it operates for 4 hours, how many kilowatt-hours of electricity does it generate?
LLemma 34B:
Reasoning: 6843*4 = <<6843*4=27372>>27372 kilowatt-hours of electricity. ### Answer: 27372
Expected answer: 27372
Correct? Yes
Problem: If the wind turbine was only able to generate 6983 kilowatt-hours of electricity per hour, as opposed to 6843, how many kilowatt-hours of electricity would it generate when running for 4 hours?
LLemma 34B:
Reasoning: 6983*4 = <<6983*4=27932>>27932 kilowatt-hours of electricity. ### Answer: 27932
Expected answer: 27932
Correct? Yes
Problem: In a park, there are 874 trees. Each tree is home to 68 birds. How many birds live in the park?
LLemma 34B:
Reasoning: There are 874*68 = <<874*68=59,072>>59,072 birds in the park. ### Answer: 59,072
Expected answer: 59432
Correct? No
Problem: John wants to save money to buy a designer wallet. Each day, he manages to save 80 dollars, and he plans to do this for the next 50 days. How much money will he have saved at the end of these 50 days?
LLemma 34B:
Reasoning: John will save 80*50 = <<80*50=4000>>4000 dollars in total. ### Answer: 4000
Expected answer: 4000
Correct? Yes
Problem: John has realized that he needs to save more each day to buy the designer wallet sooner. He has now managed to save 687 dollars a day for the next 50 days. How much money will he have saved at the end of these 50 days?
LLemma 34B:
Reasoning: John will save 687*50 = <<687*50=34350>>34350 dollars in total. ### Answer: 34350
Expected answer: 34350
Correct? Yes
Problem: A bike shop had 3978 bicycle tires in stock. If the bike shop sold the tires in sets of 21, how many tires did they sell altogether?
LLemma 34B:
Reasoning: The bike shop sold 3978/21 = <<3978/21=190>>190 tires in sets of 21. The bike shop sold 190*21 = <<190*21=3970>>3970 tires altogether. ### Answer: 3970
Expected answer: 83538
Correct? No
Problem: A factory produces 181 chips for a computer every hour. If it works non-stop for 475 hours, how many chips would the factory have produced in total?
LLemma 34B:
Reasoning: The factory produces 181*475 = <<181*475=86,375>>86,375 chips in total. ### Answer: 86,375
Expected answer: 85975
Correct? No
Problem: A computer can execute 293 operations in 1 millisecond. If it runs for 192 milliseconds, how many operations will it have executed?
LLemma 34B:
Reasoning: 192/1000 = <<192/1000=0.192>>0.192 milliseconds. 293*0.192 = <<293*0.192=55.664>>55.664 operations. ### Answer: 55.664
Expected answer: 56256
Correct? No
Problem: A pillow factory can produce 2796 pillows in one shift. If the factory operates two shifts in a day, how many pillows are produced in one day?
LLemma 34B:
Reasoning: The factory produces 2796*2 = <<2796*2=5592>>5592 pillows in one day. ### Answer: 5592
Expected answer: 5592
Correct? Yes
Problem: If instead the pillow factory could produce 6686 pillows in one shift, how many pillows would be produced in one day with two shifts?
LLemma 34B:
Reasoning: The factory produces 6686*2 = <<6686*2=13372>>13372 pillows in one day. ### Answer: 13372
Expected answer: 13372
Correct? Yes
Problem: A vineyard crate contains 8 bunches of grapes and each bunch has 733 grapes. How many grapes are there in the crate?
LLemma 34B:
Reasoning: There are 8*733 = <<8*733=5864>>5864 grapes in the crate. ### Answer: 5864
Expected answer: 5864
Correct? Yes
Problem: If a grocery store orders two crates from the vineyard, how many grapes in total would they receive?
LLemma 34B:
Reasoning: There are 5864*2 = <<5864*2=11728>>11728 grapes in total. ### Answer: 11728
Expected answer: 11728
Correct? Yes
Problem: Suppose instead that each crate from the vineyard actually contained 8 bunches of grapes, and each bunch had 3451 grapes. In that case, how many grapes are there in one crate?
LLemma 34B:
Reasoning: There are 8*3451 = <<8*3451=27608>>27608 grapes in the crate. ### Answer: 27608
Expected answer: 27608
Correct? Yes