LLemma 7B on 3.OA.A.3
Common Core Standard 3.OA.A.3
This standard covers the following:
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Problem: John has 12 tables. Each table requires 8 chairs. How many chairs does John need to accommodate all the tables?
LLemma 7B:
Reasoning: John needs 12*8 = <<12*8=96>>96 chairs. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Suppose now, John only has 2 tables instead of 12. Using the same number of chairs per table, how many chairs would John need now to accommodate these tables?
LLemma 7B:
Reasoning: John needs 2*8 = <<2*8=16>>16 chairs. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: In a magical fairy world, there are 4 fairies per house and 3 houses in a cluster. Each fairy creates 5 magic dust particles a day. How many magic dust particles are created in one day by all the fairies in a cluster?
LLemma 7B:
Reasoning: 4*3 = <<4*3=12>>12 fairies in a cluster. 12*5 = <<12*5=60>>60 magic dust particles in one day. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: In the magical fairy world, each magic dust particle created lasts for 1 whole week. How many magic dust particles will be available in a cluster of houses after a week?
LLemma 7B:
Reasoning: 60/7 = <<60/7=8.5714285714285714285714285714286>> magic dust particles will be available in a cluster of houses after a week. ### Answer: 8.5714285714285714285714285714286
Expected answer: 60
Correct? No
Problem: Previously, we discovered that each fairy creates 5 magic dust particles a day. But what happens if instead, each fairy creates 8 magic dust particles a day? How many magic dust particles are then created in one day by all the fairies in a cluster?
LLemma 7B:
Reasoning: 4*3 = <<4*3=12>>12 fairies in a cluster. 12*8 = <<12*8=96>>96 magic dust particles in one day. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Harry has 9 sets of building blocks, each set contains 7 blocks. How many building blocks does Harry have in total?
LLemma 7B:
Reasoning: Harry has 9 sets of building blocks, each set contains 7 blocks. 9 sets of 7 blocks = <<9*7=63>>63 blocks ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In the zoo, there are 12 peacocks in every enclosure. If there are 4 enclosures, how many peacocks are in the zoo in total?
LLemma 7B:
Reasoning: 12*4 = <<12*4=48>>48 peacocks in the zoo in total. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Let's imagine that instead of 4 enclosures, the zoo originally had 7 enclosures. The same rule was followed: 12 peacocks were placed in each enclosure. How many peacocks would there be in the zoo in this scenario?
LLemma 7B:
Reasoning: 12*7 = <<12*7=84>>84 peacocks in the zoo in total. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: There are 24 children at the park and want to play on the jungle gym. If each jungle gym can accommodate 12 children at a time, how many turns must they take so that everyone gets a chance to play?
LLemma 7B:
Reasoning: 24/12 = <<24/12=2>>2 turns must they take so that everyone gets a chance to play. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Suppose now that there are 24 children at the park, but the jungle gym has been upgraded and can now accommodate 2 children at a time. How many turns would they now need to make sure everyone gets a chance to play?
LLemma 7B:
Reasoning: 24/2 = <<24/2=12>>12 turns would they now need to make sure everyone gets a chance to play. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: On the farm, there are 7 groups of chicks. Each group consists of just 1 chick. The farmer then brought 9 times that amount of chicks. How many chicks did the farmer bring?
LLemma 7B:
Reasoning: There are 7 groups of chicks. Each group consists of just 1 chick. The farmer then brought 9 times that amount of chicks. There are 7*1=<<7*1=7>>7 chicks in the first group. There are 9*7=<<9*7=63>>63 chicks in the second group. There are 9*7=<<9*7=63>>63 chicks in the third group. There are 9*7=<<9*7=63>>63 chicks in the fourth group. There are 9*7=<<9*7=63>>63 chicks in the fifth group. There are 9*7=<<9*7=63>>63 chicks in the sixth group. There are 9*7=<<9*7=63>>63 chicks in the seventh group. There are 7*1+9*7+9*7+9*7+9*7+9*7+9*7=<<7*1+9*7+9*7+9*7+9*7+9*7+9*7=63+63+63+63+63+63+63=441>>441 chicks altogether. ### Answer: 441
Expected answer: 63
Correct? No
Problem: Mr. Hansen, a very organized teacher, likes to keep ten copies of each handout for his class. If he is preparing a new handout for the next class, how many copies will he make?
LLemma 7B:
Reasoning: Mr. Hansen will make 10+10 = <<10+10=20>>20 copies. ### Answer: 20
Expected answer: 10
Correct? No
Problem: A snowman has a top hat that is 5 inches tall. The snowman himself, without his hat, is 4 times as tall as his hat. How tall is the snowman without his hat?
LLemma 7B:
Reasoning: The snowman without his hat is 4 times as tall as his hat. The snowman without his hat is 4*5 = <<4*5=20>>20 inches tall. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: In the initial scenario, the snowman without his hat was 4 times as tall as his 5-inch hat, giving us a snowman's height of 20 inches. Now, in our revised scenario, let's consider that the snowman without his hat is instead only 4 times as tall as a 2-inch hat. How tall is the snowman without his hat in this new scenario?
LLemma 7B:
Reasoning: The snowman without his hat is 4 times as tall as his hat. The snowman without his hat is 4*2 = <<4*2=8>>8 inches tall. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In a video game, Susan collected 45 diamonds. If she divided those diamonds evenly among her 9 game characters, how many diamonds does each character get?
LLemma 7B:
Reasoning: Each character gets 45/9 = <<45/9=5>>5 diamonds. Each character gets 5 diamonds. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Suppose initially, Susan had only found 12 diamonds instead of 45. If she still divided those diamonds evenly among her 9 game characters, how many diamonds would each character receive then?
LLemma 7B:
Reasoning: Each character gets 12/9 = <<12/9=1.3333333333333333>>1.3333333333333333 diamonds. Each character gets 1.3333333333333333 diamonds. ### Answer: 1.3333333333333333
Expected answer: 4/3
Correct? Yes
Problem: Jim has 12 guitar picks. He divided them equally among his 12 bandmates. How many guitar picks did each bandmate get?
LLemma 7B:
Reasoning: Jim divided 12/12 = <<12/12=1>>1 pick among each bandmate. Each bandmate got 1 pick. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After dividing his guitar picks among his bandmates, Jim got a package from a fan. In the package, there were 11 more sets of guitar picks, each set having the same number of picks as each bandmate initially received. How many guitar picks were there in the package?
LLemma 7B:
Reasoning: Jim got 11 more picks. There were 11 more picks in the package. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Considering the scenario when Jim initially had 12 guitar picks but instead of dividing them among 12 bandmates, he divided them among 6 bandmates. How many guitar picks did each bandmate get?
LLemma 7B:
Reasoning: Jim divided 12/6 = <<12/6=2>>2 pick among each bandmate. Each bandmate got 2 pick. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Suzie has 5 aquariums. Each aquarium has 12 fish. How many fish does Suzie have in total?
LLemma 7B:
Reasoning: Suzie has 5*12 = <<5*12=60>>60 fish in total. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: After buying the new batch, Suzie realized her first count was wrong. She actually started with 4 aquariums, not 5, before she bought the new fish. With each aquarium having 12 fish, how many fish did Suzie initially have?
LLemma 7B:
Reasoning: Suzie initially had 4*12 = <<4*12=48>>48 fish. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A pirate found a treasure map. The map indicated that the treasure chest was buried at a spot marked by 2 stones multiplied by 9. How many stones mark the hiding place of the treasure chest?
LLemma 7B:
Reasoning: 2*9 = <<2*9=18>>18 stones mark the hiding place of the treasure chest. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: The pirate, now intrigued, discovered a third map in the larger treasure chest. This map was slightly different, indicating that the next treasure chest was marked by a spot identified not by 2 stones multiplied by 9, but by 3 stones multiplied by 9. How many stones mark the hiding spot of this third treasure chest?
LLemma 7B:
Reasoning: 3*9 = <<3*9=27>>27 stones mark the hiding spot of this third treasure chest. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: A special type of butterfly lays eggs in batches of 6. If a butterfly lays 4 batches of eggs, how many eggs does she lay in total?
LLemma 7B:
Reasoning: 6*4 = <<6*4=24>>24 eggs ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After further research, it was discovered that the butterfly was actually laying eggs in batches of 4 instead of 6 as previously thought. If there were still 4 batches of eggs, how many eggs would the butterfly have laid in total then?
LLemma 7B:
Reasoning: 4*4 = <<4*4=16>>16 eggs ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Anna has 54 feathers she wants to use to stuff some pillows. If each pillow needs 9 feathers, how many pillows can she stuff?
LLemma 7B:
Reasoning: Anna can stuff 54/9 = <<54/9=6>>6 pillows. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Following from the previous problem, Anna managed to stuff the pillows with the 54 feathers. If each stuffed pillow now needs to be sewn with 8 buttons, how many buttons will Anna need in total?
LLemma 7B:
Reasoning: Anna will need 6*8 = <<6*8=48>>48 buttons. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Tom has 1 strawberry plant. Each strawberry plant can produce 9 strawberries. How many strawberries can Tom's plant produce?
LLemma 7B:
Reasoning: Tom's plant can produce 9 strawberries. Tom's plant can produce 9 strawberries. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Continuing from the earlier problem, let's say now Tom decides to increase his strawberry plant count to 5 plants. Given that each plant can produce 9 strawberries without any fertilizer, how many strawberries can all of Tom's plants now produce together?
LLemma 7B:
Reasoning: Tom's plants can produce 5*9 = <<5*9=45>>45 strawberries. Tom's plants can produce 45 strawberries. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In a large mansion, each room has 8 fireplaces. If there are 96 fireplaces in total, how many rooms are there in the mansion?
LLemma 7B:
Reasoning: 96/8 = <<96/8=12>>12 rooms have fireplaces. There are 12 rooms in the mansion. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following the last question, if each room in the mansion requires 7 workers to clean all of the fireplaces, how many workers are needed in total to clean all the fireplaces in the mansion?
LLemma 7B:
Reasoning: 12*7 = <<12*7=84>>84 workers are needed in total to clean all the fireplaces in the mansion. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: John has 10 boxes he needs to transport in a truck. However, his truck can only hold 5 boxes at a time. How many trips does he need to make to transport all the boxes?
LLemma 7B:
Reasoning: John needs to transport 10/5 = <<10/5=2>>2 trips. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: John has finished his trips and transported all the boxes. However, he realizes that each round trip he makes consumes 6 liters of fuel. How many liters of fuel has he used to make all of his trips?
LLemma 7B:
Reasoning: John needs to transport 10/5 = <<10/5=2>>2 trips. John needs to transport 2*6 = <<2*6=12>>12 liters of fuel. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Charlie has a total of 63 toy cars. If he groups them equally into 9 big boxes, how many toy cars will be in each box?
LLemma 7B:
Reasoning: 63/9 = <<63/9=7>>7 toy cars in each box. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Let's reconsider the organization of Charlie's toy cars. This time, instead of grouping them into 9 boxes, imagine he grouped the original 63 toy cars into only 5 boxes. How many toy cars will be in each box now?
LLemma 7B:
Reasoning: 63/5 = <<63/5=12.6>>12.6 toy cars in each box. ### Answer: 12.6
Expected answer: 63/5
Correct? Yes
Problem: On the farm, there are 24 hens. Each coop holds 12 hens. How many coops are needed to house all the hens?
LLemma 7B:
Reasoning: 24/12 = <<24/12=2>>2 coops are needed to house all the hens. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After reconsidering, the farmer decides to place the hens into larger coops where each coop can hold 8 hens. How many coops would he need now to house all the hens?
LLemma 7B:
Reasoning: 24/8 = <<24/8=3>>3 coops would he need now to house all the hens. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: If 3 large postcards are placed in 1 envelope, how many large postcards are in each envelope?
LLemma 7B:
Reasoning: 3/1 = <<3/1=3>>3 Each envelope contains 3 large postcards. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Following the previous question - if 3 large postcards are placed in 1 envelope, and Macy decided to distribute 6 envelopes of the same kind, how many large postcards did she distribute in total?
LLemma 7B:
Reasoning: 3/1 = <<3/1=3>>3 Each envelope contains 3 large postcards. Macy distributed 6 envelopes. Each envelope contains 3 large postcards. Macy distributed 3*6 = <<3*6=18>>18 large postcards in total. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Following the previous question - suppose that instead of placing 3 large postcards in each envelope, Macy starts to put only 2 large postcards in each envelope. How many large postcards are there in each envelope now?
LLemma 7B:
Reasoning: 2/1 = <<2/1=2>>2 Each envelope contains 2 large postcards. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Tommy is going camping and he needs sleeping bags. He took 12 sleeping bags from the storage and he remembered that he needs twice as many. How many sleeping bags does he need in total?
LLemma 7B:
Reasoning: Tommy needs 12*2 = <<12*2=24>>24 sleeping bags in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: Tommy remembered that he actually only had 6 sleeping bags in storage, not 12 as he had previously thought. He still needs twice as many sleeping bags as originally counted. How many sleeping bags does he need in total now?
LLemma 7B:
Reasoning: Tommy needs 6*2 = <<6*2=12>>12 sleeping bags in total. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a new game, Tina earns 3 points per level. If she successfully completes 5 levels, how many total points does she earn?
LLemma 7B:
Reasoning: Tina earns 3 points per level. Tina earns 3*5 = <<3*5=15>>15 points. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In the same game, Tina decides to convert her points into game coins. If the current rate of conversion is 1 coin per point, how many game coins will she have after the conversion?
LLemma 7B:
Reasoning: Tina earns 3 points per level. Tina earns 3*5 = <<3*5=15>>15 points. Tina earns 15 coins. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a video game, Tim needs 4 points to advance to the next level. If there are 9 levels in total, how many points does Tim need in total to finish the game?
LLemma 7B:
Reasoning: Tim needs 4*9 = <<4*9=36>>36 points to finish the game. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: In the new season of the video game, the number of points needed to advance to the next level increased. Now, Tim needs 4 points to advance each of the 11 levels. What is the total number of points Tim needs now to finish the game?
LLemma 7B:
Reasoning: Tim needs 4*11 = <<4*11=44>>44 points to finish the game. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: Sophie has a bubble blowing machine. The machine blows bubbles at a rate of 2 bubbles per second. How many bubbles will be blown in one second?
LLemma 7B:
Reasoning: 2 bubbles per second means <<2 bubbles per second = 2/1 = 2>>2 bubbles per second. Therefore, 2 bubbles per second means 2 bubbles in one second. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Sophie lets her bubble blowing machine run for another 9 seconds. How many more bubbles does the machine blow?
LLemma 7B:
Reasoning: 2 bubbles per second means <<2 bubbles per second = 2/1 = 2>>2 bubbles per second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one second. Therefore, 2 bubbles per second means 2 bubbles in one
Expected answer: 18
Correct? No
Problem: Sophie changes the setting on her bubble blowing machine so that it now blows 7 bubbles per second instead of 2. How many bubbles will now be blown in one second?
LLemma 7B:
Reasoning: 7 bubbles per second means <<7 bubbles per second = 7/1 = 7>>7 bubbles per second. Therefore, 7 bubbles per second means 7 bubbles in one second. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Farmer Mike has 6 cows. Each of them gives 12 liters of milk every day. How many liters of milk does Farmer Mike get in a day?
LLemma 7B:
Reasoning: Farmer Mike gets 6*12 = <<6*12=72>>72 liters of milk in a day. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Farmer Mike decided to buy an additional cow, increasing his herd to 7 cows. If each cow still produces 12 liters of milk every day, how many liters of milk does Farmer Mike get in a day now?
LLemma 7B:
Reasoning: Farmer Mike gets 7*12 = <<7*12=84>>84 liters of milk in a day now. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: John has 9 sunglasses in a line. He decided to divide his collection into equal parts. If each part contains 9 sunglasses, how many parts would he get?
LLemma 7B:
Reasoning: 9/9 = <<9/9=1>>1 John would get 1 part. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After assigning sunglasses to the group, John considers dividing his original collection differently. If he divides the initial 9 sunglasses by 1 instead of 9, how many sunglasses would he have in each group?
LLemma 7B:
Reasoning: 9/1 = <<9/1=9>>9 John would have 9 sunglasses in each group. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A rocket scientist needs to calculate the fuel consumption of his rocket. Each second, the rocket uses 9 units of fuel. After 11 seconds of flight, how much fuel has been consumed?
LLemma 7B:
Reasoning: 11 seconds x 9 units of fuel per second = <<11*9=99>>99 units of fuel consumed. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In the park, there are 4 swings available. Every swing can seat 3 children. How many children can the swings in the park seat altogether?
LLemma 7B:
Reasoning: 4 swings can seat 3 children. 4 swings can seat 4*3 = <<4*3=12>>12 children. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In reconsideration, the first park actually only has 1 swing that can seat 3 children, not 4 swings. Given this new information, how many children can the swings in the first park seat now?
LLemma 7B:
Reasoning: 1 swing can seat 3 children. 1 swing can seat 1*3 = <<1*3=3>>3 children. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: There are 3 magical fairies in Fairyland. Each fairy has a unique ability to create triplets of herself. How many fairies will there be after each of them uses their ability?
LLemma 7B:
Reasoning: The first fairy will create 3 triplets of herself. Each triplet will have 3 triplets of themselves. Each triplet of the second fairy will have 3 triplets of themselves. Each triplet of the third fairy will have 3 triplets of themselves. There will be 3+3*3+3*3*3 = <<3+3*3+3*3*3=36>>36 fairies after each of them uses their ability. ### Answer: 36
Expected answer: 9
Correct? No
Problem: James, a songwriter, loves to include the word "love" in his songs. In one song, he mentioned the word "love" 4 times in each verse. How many times did he mention "love" if the song has 3 verses?
LLemma 7B:
Reasoning: James mentioned the word "love" 4 times in each verse. James mentioned the word "love" 4*3 = <<4*3=12>>12 times in the song. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following the last problem, after James wrote his song, he decided to dedicate four performances to his beloved. In each performance, he sings the song once. How many times will the word "love" be mentioned if he sings the song in all four performances?
LLemma 7B:
Reasoning: James mentioned the word "love" 4 times in each verse. James mentioned the word "love" 4*3 = <<4*3=12>>12 times in the song. James mentioned the word "love" 12*4 = <<12*4=48>>48 times in all four performances. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Continuing from the previous scenarios, James decided to rewrite his song. Now, he included the word "love" 4 times in each verse, but this time he expanded his song to include 10 verses. How many times does he mention "love" in this new version of his song?
LLemma 7B:
Reasoning: James mentioned the word "love" 4 times in each verse. James mentioned the word "love" 4*10 = <<4*10=40>>40 times in the song. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Mark has 48 apps on his phone. He likes to organize his apps into folders, and he can fit exactly 8 apps in each folder. How many folders does he need to organize all of his apps?
LLemma 7B:
Reasoning: Mark can fit 8 apps in each folder. He has 48 apps. He can fit 8 apps in each folder. He can fit 48/8 = <<48/8=6>>6 folders. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Mark realized that he could fit more apps into each folder. If he reorganizes his apps so that each folder contains 6 apps instead of 8, how many folders will he need now to store all of his 48 apps?
LLemma 7B:
Reasoning: Mark can fit 6 apps in each folder. He has 48 apps. He can fit 6 apps in each folder. He can fit 48/6 = <<48/6=8>>8 folders. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: If Johnny wants to distribute candies to his friends at school and he decides to give each friend 12 candies, and there are 3 friends, how many candies does he need in total?
LLemma 7B:
Reasoning: Johnny needs 12*3 = <<12*3=36>>36 candies in total. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: After distributing candies to his friends at school, Johnny decides to double the amount of candies he gave for the next day. How many candies will he need in total for the next day?
LLemma 7B:
Reasoning: Johnny needs 2*36 = <<2*36=72>>72 candies in total for the next day. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Tommy has a racetrack that he plans to race his toy cars on. If he can race 10 cars in total and he races 5 cars at a time, how many turns does it take for him to race all his cars?
LLemma 7B:
Reasoning: Tommy can race 5 cars at a time. He can race 10/5 = <<10/5=2>>2 turns. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Following the previous scenario, Tommy decided to organize multiple rounds of races. If he performs 8 rounds of races, with each round involving the same number of turns as before, how many turns in total will he need to complete all the rounds?
LLemma 7B:
Reasoning: Tommy can race 5 cars at a time. He can race 8*2 = <<8*2=16>>16 turns. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Sally has 40 feathers from her chickens. If she arranged the feathers in groups of 10, how many groups would she have?
LLemma 7B:
Reasoning: 40/10 = <<40/10=4>>4 groups. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Sally sorts her 40 chicken feathers into groups of 10. Then, she decided to double the number of groups. How many groups does she have now?
LLemma 7B:
Reasoning: 40/10 = <<40/10=4>>4 groups. She has 4*2 = <<4*2=8>>8 groups. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Sally originally thought she had sorted her 40 chicken feathers into groups of 10, but then she realized she actually sorted them into groups of 11 instead. How many groups does she have now?
LLemma 7B:
Reasoning: 40/11 = <<40/11=3.64>>3.64 groups. ### Answer: 3.64
Expected answer: 40/11
Correct? No
Problem: Fairy Lily is 1 inch tall. However, when she uses her magical fairy dust, she can become 11 times her original size. How tall is Fairy Lily when she uses her magical dust?
LLemma 7B:
Reasoning: Fairy Lily is 11 times her original size. Fairy Lily is <<11*1=11>>11 inches tall when she uses her magical dust. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: After using her magical dust to grow 11 times her original size, Fairy Lily decides to add another element to her spells. She casts a spell that multiplies her height by 7. How tall is Fairy Lily now?
LLemma 7B:
Reasoning: Fairy Lily is 11 times her original size. Fairy Lily is <<11*7=77>>77 inches tall now. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In a different scenario, if Fairy Lily only grows to 6 times her original size rather than 11 times using her magical dust, how tall would she become then?
LLemma 7B:
Reasoning: Fairy Lily is 6 times her original size. Fairy Lily is <<6*1=6>>6 inches tall when she uses her magical dust. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In a beehive, one female bee can produce 5 new bees every day. How many bees would she produce in 1 day?
LLemma 7B:
Reasoning: 5*1 = <<5*1=5>>5 ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Following the previous problem, if this female bee continues to produce bees at the same rate, how many bees will she have produced after 11 days?
LLemma 7B:
Reasoning: 5*11 = <<5*11=55>>55 ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: Following the previous problems, consider if the female bee instead produced new bees at a slower rate, making only 5 bees every 3 days. How many bees would she produce in one day at this new rate?
LLemma 7B:
Reasoning: 5*1/3 = <<5*1/3=5/3>>5/3 ### Answer: 5/3
Expected answer: 5/3
Correct? Yes
Problem: Thomas has 35 piano sheets in his music stand. If he wants to evenly distribute his music sheets into 7 piano books, how many sheets will each book have?
LLemma 7B:
Reasoning: 35/7 = <<35/7=5>>5 sheets in each book. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After arranging his music sheets into the piano books, Thomas decided to purchase 8 more books, each with the same number of sheets as the books he has now. How many more piano sheets did he buy?
LLemma 7B:
Reasoning: 8*5 = <<8*5=40>>40 more piano sheets. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Instead, suppose originally Thomas had 9 piano sheets. If he evenly distributes his music sheets into 7 piano books as before, how many sheets will each book have now?
LLemma 7B:
Reasoning: 9/7 = <<9/7=1.2857142857142857>>1.2857142857142857 sheets in each book. ### Answer: 1.2857142857142857
Expected answer: 9/7
Correct? Yes
Problem: Mom baked 2 batches of cookies. Each batch contains 8 cookies. How many cookies did mom bake in total?
LLemma 7B:
Reasoning: Mom baked 2 batches of cookies. Each batch contains 8 cookies. Mom baked 2 x 8 = <<2*8=16>>16 cookies in total. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Earth has 3 natural satellites. If the number of moon rocks collected each year is triple the total number of these satellites, how many moon rocks would be collected in one year?
LLemma 7B:
Reasoning: The number of moon rocks collected each year is triple the total number of these satellites. The number of moon rocks collected each year is 3*3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Following the previous scenario, if each moon rock collected in a year is stored in a separate storage bin, how many storage bins would be needed to store all the rocks collected in one year?
LLemma 7B:
Reasoning: The number of moon rocks collected each year is 9. The number of storage bins needed to store all the rocks collected in one year is 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Continuing from the previous scenario, suppose that instead of 3, the Earth had 5 natural satellites. In this case, if the number of moon rocks collected each year is triple the total number of these satellites, how many moon rocks would be collected in one year?
LLemma 7B:
Reasoning: The number of moon rocks collected each year is triple the total number of these satellites. The number of moon rocks collected each year is 5*3 = <<5*3=15>>15. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Doctor Thomas needs to visit 10 patients. He spends 5 minutes with each patient. How many minutes does he spend with all of his patients?
LLemma 7B:
Reasoning: Doctor Thomas spends 5 minutes with each patient. Doctor Thomas spends 10*5 = <<10*5=50>>50 minutes with all of his patients. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: After visiting his patients, Doctor Thomas then spends twice the amount of time he spent with his patients on paperwork. How many minutes does he spend on paperwork?
LLemma 7B:
Reasoning: Doctor Thomas spends twice the amount of time he spent with his patients on paperwork. Doctor Thomas spends 2*50 = <<2*50=100>>100 minutes on paperwork. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: In a different scenario, Doctor Thomas spends 6 minutes with each patient instead of 5 minutes. If he still has the same number of patients to visit, how many minutes will he spend with all his patients?
LLemma 7B:
Reasoning: Doctor Thomas spends 6 minutes with each patient. Doctor Thomas spends 10*6 = <<10*6=60>>60 minutes with all of his patients. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Jerry was thinking of purchasing new pants and he noticed a special offer. The shop was selling 11 pants for $55. After calculating the price for each pant, he decided to buy 12. How much would he spend?
LLemma 7B:
Reasoning: 11 pants for$55 means that each pant costs $<<55/11=5>>5. 12 pants for$55 means that each pant costs $<<55/12=4.5>>4.5. He would spend$<<5*12=60>>60. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Molly has 8 bottles of apple juice. She decides to multiply her collection of apple juice bottles by the same number she has. How many bottles of apple juice does Molly have now?
LLemma 7B:
Reasoning: Molly has 8 bottles of apple juice. She decides to multiply her collection of apple juice bottles by the same number she has. Molly has 8 x 8 = <<8*8=64>>64 bottles of apple juice now. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Molly later decided that 8 bottles of apple juice were too many. So, she reduced her collection to 6 bottles. Then, she once again decided to increase her apple juice collection by multiplying the number of bottles she has by the same number. How many bottles of apple juice does Molly have now?
LLemma 7B:
Reasoning: Molly later decided that 8 bottles of apple juice were too many. So, she reduced her collection to 6 bottles. Then, she once again decided to increase her apple juice collection by multiplying the number of bottles she has by the same number. Molly has 6 x 8 = <<6*8=48>>48 bottles of apple juice now. ### Answer: 48
Expected answer: 36
Correct? No
Problem: There are few craters on one of the sections of the moon. If that section is divided into 8 equal parts and we count 32 craters in total, how many craters are there in each part?
LLemma 7B:
Reasoning: 32/8 = <<32/8=4>>4 craters in each part. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Let's think back to the moon section with craters we discussed earlier. Suppose instead that the moon's section was divided into 5 equal parts with a total of 32 craters. How many craters would there be in each part then?
LLemma 7B:
Reasoning: 32/5 = <<32/5=6.4>>6.4 craters in each part. ### Answer: 6.4
Expected answer: 32/5
Correct? Yes
Problem: There are 4 monkeys in the jungle. Each monkey has 7 bananas. How many bananas do the monkeys have in total?
LLemma 7B:
Reasoning: 4 monkeys have 4*7 = <<4*7=28>>28 bananas in total. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Let's imagine that originally there were 9 monkeys instead of 4. If each monkey has 7 bananas, how many bananas do all the monkeys have in total now?
LLemma 7B:
Reasoning: 9 monkeys have 9*7 = <<9*7=63>>63 bananas in total. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Fiona has a block of cheese that weighs 32 ounces. If she wants to divide it into equal pieces which each weigh 4 ounces, how many pieces of cheese will she have?
LLemma 7B:
Reasoning: 32/4 = <<32/4=8>>8 pieces of cheese. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Fiona later found a smaller block of cheese that weighs 32 ounces. If she wants to cut this one into equal pieces which each weigh 9 ounces, how many pieces of cheese will she get from this block?
LLemma 7B:
Reasoning: 32/9 = <<32/9=3.5555555555555554>>3.5555555555555554 pieces of cheese. ### Answer: 3.5555555555555554
Expected answer: 32/9
Correct? Yes
Problem: Bob has 6 cups. If he wants to fill each cup with 1 glass of milk, how many glasses of milk does he need?
LLemma 7B:
Reasoning: Bob needs 6 glasses of milk. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Bob just realized he only has 2 cups instead of 6. If he still wants to fill each cup with 1 glass of milk, how many glasses of milk does he need now?
LLemma 7B:
Reasoning: Bob needs 2 glasses of milk. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In the zoo, there are 36 new-born rabbits divided evenly into 9 cages. Each cage is then assigned to two caretakers. How many caretakers are assigned per cage?
LLemma 7B:
Reasoning: 36/9 = <<36/9=4>>4 caretakers per cage. ### Answer: 4
Expected answer: 8
Correct? No
Problem: Farmer Brown has made 42 blocks of cheese. Each wheel of cheese requires 7 blocks to make. How many whole wheels of cheese can he make with the current blocks he has?
LLemma 7B:
Reasoning: Farmer Brown can make 42/7 = <<42/7=6>>6 whole wheels of cheese. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: After making the cheese wheels, Farmer Brown decides to double his production in order to have enough for the upcoming village fair. Based on his current production rate, how many cheese wheels will he have after doubling his output?
LLemma 7B:
Reasoning: Farmer Brown will have 2*6 = <<2*6=12>>12 cheese wheels after doubling his output. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: John has a square kite. Each side of the kite is 4 feet long. What is the total length of two sides of the kite in feet?
LLemma 7B:
Reasoning: The total length of two sides of the kite is 4+4 = <<4+4=8>>8 feet. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: John wants to make another identical kite. How many feet of string will he need for the two sides of both kites?
LLemma 7B:
Reasoning: The total length of two sides of the kite is 4+4 = <<4+4=8>>8 feet. John will need 8+8 = <<8+8=16>>16 feet of string for the two sides of both kites. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Suppose that John decides to make a very small kite with each side only 1 foot long. What is the total length of two sides of this smaller kite in feet?
LLemma 7B:
Reasoning: The total length of two sides of the kite is 1+1 = <<1+1=2>>2 feet. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Anna has 4 bags of candy, each containing 3 candies. How many candies does she have in total?
LLemma 7B:
Reasoning: Anna has 4 bags of candy, each containing 3 candies. Anna has 4*3 = <<4*3=12>>12 candies in total. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In the previous situation, what if Anna initially had only 1 bag of candy, each containing 3 candies? How many candies would she have initially?
LLemma 7B:
Reasoning: Anna initially had only 1 bag of candy, each containing 3 candies. Anna initially had 1*3 = <<1*3=3>>3 candies. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A garden has 6 patches of flowers. Each patch attracts 3 butterflies. How many butterflies are there in total in the garden?
LLemma 7B:
Reasoning: 6*3 = <<6*3=18>>18 butterflies are there in total in the garden. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In a similar situation, imagine if initially there were 8 patches of flowers instead of 6 and each patch still attracts 3 butterflies. How many butterflies would there be in total then?
LLemma 7B:
Reasoning: 8*3 = <<8*3=24>>24 butterflies would there be in total then. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: Sophia is having a party. She wants to divide 72 cookies evenly among her 8 friends, giving them an equal number. She then decides to gift each friend 5 times the amount they initially received. How many cookies will each friend get in total?
LLemma 7B:
Reasoning: Each friend will get 72/8 = <<72/8=9>>9 cookies initially. Each friend will get 5*9 = <<5*9=45>>45 cookies in total. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: Sophia revisited her party plans and decided to invite two more friends, resulting in a total of 10 friends. Now she wants to divide the same 72 cookies evenly among all her friends, and again, give each friend 5 times the initial amount. How many cookies will each friend get in total now?
LLemma 7B:
Reasoning: Each friend will get 72/10 = <<72/10=7.2>>7.2 cookies initially. Each friend will get 5*7.2 = <<5*7.2=36>>36 cookies in total. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: John has 3 cameras. Each camera can take 1 picture per second. If John uses all his cameras to take pictures for 5 seconds, how many pictures will he have taken in total?
LLemma 7B:
Reasoning: John takes 3*5 = <<3*5=15>>15 pictures in total. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Tommy has 3 boxes of toys. Each box contains 9 toys. How many toys does Tommy have in total?
LLemma 7B:
Reasoning: Tommy has 3*9 = <<3*9=27>>27 toys. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Tommy realized he made a mistake when counting his toys. Instead of having 3 boxes of toys, he actually had 10 boxes. Each box still contains 9 toys. Now, how many toys does Tommy really have?
LLemma 7B:
Reasoning: Tommy has 10*9 = <<10*9=90>>90 toys. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: Joanna has a clothing store and packs 10 shirts into 5 boxes. How many shirts does each box contain?
LLemma 7B:
Reasoning: 10/5 = <<10/5=2>>2 shirts in each box. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: What if Joanna originally had 7 shirts instead of 10 and she still wants to distribute them evenly into 5 boxes? How many shirts will each box contain then?
LLemma 7B:
Reasoning: 7/5 = <<7/5=1.4>>1.4 shirts in each box. ### Answer: 1.4
Expected answer: 7/5
Correct? Yes
Problem: Jack has 9 scooters. Harry, seeing Jack's love for scooters, decided to give him seven times as many scooters for his birthday. How many scooters did Harry give to Jack?
LLemma 7B:
Reasoning: Jack has 9+7 = <<9+7=16>>16 scooters. Harry gave 7*9 = <<7*9=63>>63 scooters to Jack. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Suppose instead of having 9 scooters originally, Jack started with 6 scooters. How many scooters would Harry give to Jack now, following Harry's original plan of giving seven times as many scooters as Jack initially had?
LLemma 7B:
Reasoning: Jack has 6+7 = <<6+7=13>>13 scooters. Harry gave 7*6 = <<7*6=42>>42 scooters to Jack. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: There are 7 hours on a clock. Each hour has 4 quarters. How many quarters are there in three clocks?
LLemma 7B:
Reasoning: 7 hours on a clock = 7 x 4 = <<7*4=28>>28 quarters in one clock. 3 clocks = 3 x 28 = <<3*28=84>>84 quarters in three clocks. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: Liam has 35 scoops of ice cream. If he puts an equal amount of ice cream into 5 cones, how many scoops of ice cream does each cone get?
LLemma 7B:
Reasoning: 35/5 = <<35/5=7>>7 scoops of ice cream in each cone. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: In the previous problem, we had 35 scoops of ice cream to start with. But what if we start with only 8 scoops of ice cream, and we are still trying to divide it equally into 5 cones? How many scoops of ice cream would each cone hold then?
LLemma 7B:
Reasoning: 8/5 = <<8/5=1.6>>1.6 scoops of ice cream in each cone. ### Answer: 1.6
Expected answer: 8/5
Correct? Yes
Problem: Billy has 8 toy trains at his house. He went to a train festival and got 9 times more trains than he originally had. How many trains did Billy get at the festival?
LLemma 7B:
Reasoning: Billy has 9 times more trains than he originally had. Billy has 9 times 8 = <<9*8=72>>72 trains at the festival. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: If Billy originally had 8 toy trains, but at the train festival, he was able to gather 8 times more trains than he originally had instead of 9, how many trains did Billy get at the festival?
LLemma 7B:
Reasoning: Billy was able to gather 8 times more trains than he originally had instead of 9. Billy was able to gather 8 times 8 = <<8*8=64>>64 trains at the festival. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: A librarian decided to arrange books on a shelf. She placed 8 books in a row and made sure every row had the same number of books. How many books were there if the arrangement was square (i.e., the same number of rows as there were books in a row)?
LLemma 7B:
Reasoning: The arrangement was square, so there were the same number of rows as there were books in a row. There were 8 rows and 8 books in a row. There were 8 x 8 = <<8*8=64>>64 books altogether. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Following the previous problem about the librarian, let's consider a different scenario. This time, she decides to arrange a smaller square of books with only 4 books in a row. Each row still has the same number of books. So, how many books does she need for this smaller square arrangement?
LLemma 7B:
Reasoning: The arrangement was square, so there were the same number of rows as there were books in a row. There were 4 rows and 4 books in a row. There were 4 x 4 = <<4*4=16>>16 books altogether. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Lisa had 10 yards of fabric. If it takes 1 yard of fabric to make a skirt, how many skirts can Lisa make?
LLemma 7B:
Reasoning: Lisa can make 10 skirts. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Sarah receives 12 phone calls every day on her work phone. But, she only answers a quarter of those phone calls. How many phone calls does she answer a day?
LLemma 7B:
Reasoning: Sarah answers 12/4 = <<12/4=3>>3 phone calls a day. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Following up on the previous problem, if for each phone call Sarah answered, she received 11 more calls as a response, how many additional calls did she receive in a day?
LLemma 7B:
Reasoning: Sarah received 12+11*3 = <<12+11*3=45>>45 additional calls in a day. ### Answer: 45
Expected answer: 33
Correct? No
Problem: Melanie is planning for a camping trip and she needs 3 sleeping bags for each of her 4 friends. How many sleeping bags does Melanie need in total?
LLemma 7B:
Reasoning: Melanie needs 3*4 = <<3*4=12>>12 sleeping bags in total. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Suppose Melanie originally planned to bring 3 sleeping bags for each of her 6 friends instead of 4, for the camping trip. How many sleeping bags would Melanie need in total for the camping trip now?
LLemma 7B:
Reasoning: Melanie needs 3*6 = <<3*6=18>>18 sleeping bags in total. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Johnny has 3 times the amount of snowballs that Billy does. If Billy has 6 snowballs, how many snowballs does Johnny have?
LLemma 7B:
Reasoning: Johnny has 3 times the amount of snowballs that Billy does. Johnny has 3*6 = <<3*6=18>>18 snowballs. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Consider now that initially, Johnny had 3 times the amount of snowballs that Billy does, not 5 times. If Billy still has 11 snowballs, how many snowballs does Johnny have now?
LLemma 7B:
Reasoning: Johnny has 3 times the amount of snowballs that Billy does. Johnny has 3*11 = <<3*11=33>>33 snowballs. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: In a game, each star is equivalent to 5 points. If Tom collected 1 star, how many points does he have?
LLemma 7B:
Reasoning: Tom collected 1 star, which is equivalent to 5 points. Tom collected 1*5 = <<1*5=5>>5 points. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Tom decided to play more of the game and managed to collect 4 more stars. Considering that each star is equivalent to 5 points, how many additional points has he earned now?
LLemma 7B:
Reasoning: Tom collected 4 more stars, which is equivalent to 5*4 = <<5*4=20>>20 points. Tom collected 5+20 = <<5+20=25>>25 additional points. ### Answer: 25
Expected answer: 20
Correct? No
Problem: In the game, what if initially each star was equivalent to 7 points instead of 5? If Tom collected 1 star as before, how many points would he have now?
LLemma 7B:
Reasoning: Tom collected 1 star, which is equivalent to 7 points. Tom collected 1*7 = <<1*7=7>>7 points. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Captain Jack has 4 cannons on his pirate ship. If each cannon fires 12 cannonballs, how many cannonballs were fired in total?
LLemma 7B:
Reasoning: 4*12 = <<4*12=48>>48 cannonballs were fired in total. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Given that Captain Jack actually had 4 cannons, but each can fire only 3 cannonballs, how many cannonballs were fired in total now?
LLemma 7B:
Reasoning: 4*3 = <<4*3=12>>12 cannonballs were fired in total now. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Emma has a pack of 10 colored pencils. She wants to have as many colored pencils as the square of the number she currently has. How many colored pencils will she have then?
LLemma 7B:
Reasoning: Emma will have <<10^2=100>>100 colored pencils. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: Now consider if Emma had started with a pack of only 4 colored pencils instead. If she still wants to have as many colored pencils as the square of the number she currently has, how many colored pencils will she have then?
LLemma 7B:
Reasoning: Emma will have <<4^2=16>>16 colored pencils. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Emily had 70 cookies. She decided to pack them in bags with each bag containing 7 cookies. After getting the number of bags, she decided to multiply it by 6 for a camping trip. How many cookies does she need for her intended number of sleeping bag sets?
LLemma 7B:
Reasoning: Emily needs 70/7 = <<70/7=10>>10 bags. Emily needs 10*6 = <<10*6=60>>60 cookies. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Let's consider a different scenario. Emily originally had 9 cookies instead of 70. She still wants to pack them in bags, with each bag containing 7 cookies. She still wants to multiply the number of bags by 6 for a camping trip. How many cookies does she need now for her intended number of sleeping bag sets?
LLemma 7B:
Reasoning: Emily needs 9/7 = <<9/7=1.2857142857142857>> bags. Emily needs 1.2857142857142857*6 = <<1.2857142857142857*6=7.6285714285714285>> bags. Emily needs 7.6285714285714285 cookies. ### Answer: 7.6285714285714285
Expected answer: 54/7
Correct? No
Problem: Captain Redbeard has 6 cannons on one side of his pirate ship. Each cannon fires 4 cannonballs at a time when the ship goes into battle. During a sea fight, with one shot from each of the cannons on one side of the ship, how many cannonballs are fired in total?
LLemma 7B:
Reasoning: Each cannon fires 4 cannonballs at a time. There are 6 cannons on one side of the ship. 6 x 4 = <<6*4=24>>24 cannonballs are fired in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: In a different battle, Captain Redbeard decided to increase his firepower and loaded each cannon with 11 cannonballs. With one shot from each of the 6 cannons on one side of his ship, how many cannonballs would be fired in total from that side?
LLemma 7B:
Reasoning: Each cannon fires 11 cannonballs at a time. There are 6 cannons on one side of the ship. 6 x 11 = <<6*11=66>>66 cannonballs are fired in total. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: A magical unicorn walks 72 miles every day. If it takes the unicorn 12 hours to cover that distance. How many miles does the unicorn cover every hour?
LLemma 7B:
Reasoning: 72/12 = <<72/12=6>>6 miles per hour. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In a magical turn of events, the unicorn's speed is tripled for an enchanting hour. Given the unicorn's new pace, how many miles would it cover in that enchanted hour?
LLemma 7B:
Reasoning: 6*3 = <<6*3=18>>18 miles per hour. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Sue has 3 potato plants and each plant yields 10 potatoes. How many potatoes does Sue have in total?
LLemma 7B:
Reasoning: Sue has 3*10 = <<3*10=30>>30 potatoes in total. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Suppose that Sue originally planted 3 potato plants instead of 10, and each of those plants still produced 3 potatoes. How many potatoes would Sue have harvested from her original planting?
LLemma 7B:
Reasoning: Sue originally planted 3*3 = <<3*3=9>>9 potato plants. Each of those plants produced 3 potatoes. Sue has 9*3 = <<9*3=27>>27 potatoes in total. ### Answer: 27
Expected answer: 9
Correct? No
Problem: An astronaut walks a distance of 20 kilometers per day on the lunar surface. If they decide to only walk for 1/5 of the day, how many kilometers do they cover?
LLemma 7B:
Reasoning: 20/5 = <<20/5=4>>4 kilometers ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following up on the previous problem, let's say on a particular day, the astronaut decides to increase their walking duration from 1/5 of a day to 12/5 of a day. How many kilometers would they cover on that day?
LLemma 7B:
Reasoning: 20*12/5 = <<20*12/5=48>>48 kilometers ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In a new scenario, let's say the astronaut now walks a distance of 20 kilometers per day on the lunar surface but decides to walk for only 1/6 of the day instead of 1/5. How many kilometers would they cover in this case?
LLemma 7B:
Reasoning: 20/6 = <<20/6=3.3333333333333335>>3.3333333333333335 kilometers ### Answer: 3.3333333333333335
Expected answer: 10/3
Correct? Yes
Problem: Mr. Lemon has 10 lemons and he wants to evenly distribute them into 5 boxes. How many lemons will there be in each box?
LLemma 7B:
Reasoning: 10/5 = <<10/5=2>>2 There will be 2 lemons in each box. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Mr. Lemon decides to add 2 more lemons to each box, because he wants to share more lemons with his friends. How many lemons will there be in each box now?
LLemma 7B:
Reasoning: 10/5 = <<10/5=2>>2 There will be 4 lemons in each box. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: After some thought, Mr. Lemon considers distributing the ten lemons among six boxes instead of five. How many lemons would there be in each box if he decides to distribute them in this way?
LLemma 7B:
Reasoning: 10/6 = <<10/6=1.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Expected answer: 5/3
Correct? Yes
Problem: A helicopter pad can hold 4 helicopters at a time. The city has decided to build 11 new helicopter pads. How many helicopters can all of the helicopter pads hold when combined?
LLemma 7B:
Reasoning: 11 x 4 = <<11*4=44>>44 ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: If each of the helicopters that the city's helicopter pads can hold requires just one helipad to park, how many helipads will be occupied when all the helicopters are parked?
LLemma 7B:
Reasoning: 44/4 = <<44/4=11>>11 ### Answer: 11
Expected answer: 44
Correct? No
Problem: John decided to re-arrange his room and he has a single bed that takes the space of 1 large carpet tile. If his room size requires 12 such carpet tiles fully side by side, how many bed spaces does John's room have?
LLemma 7B:
Reasoning: John's room has 12 large carpet tiles. John's room has 12*1 = <<12*1=12>>12 bed spaces. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a different layout, John realized he could fit 3 beds in the space currently occupied by 1 large carpet tile due to the smaller size of new bunk beds he purchased. If his room size still requires 12 large carpet tiles side by side, then, how many new bunk beds can he fit in his room now?
LLemma 7B:
Reasoning: John's room has 12 large carpet tiles. John's room has 12/3 = <<12/3=4>>4 new bunk beds. ### Answer: 4
Expected answer: 36
Correct? No
Problem: Sophie has 8 flowerpots. In each flowerpot, she plans to plant 3 flowers. How many flowers will Sophie plant in total?
LLemma 7B:
Reasoning: Sophie will plant 8 x 3 = <<8*3=24>>24 flowers in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After successfully planting flowers in her 8 flowerpots, Sophie decided to double the total number of flowers she planted. How many flowers does she have now?
LLemma 7B:
Reasoning: Sophie has 2 x 24 = <<2*24=48>>48 flowers now. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Now imagine if Sophie originally had 12 flowerpots instead of 8. How many flowers would she have planted if she still planted 3 flowers per flowerpot?
LLemma 7B:
Reasoning: Sophie would have planted 12 x 3 = <<12*3=36>>36 flowers in total. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Shawn has 12 gift boxes and each box contains 6 presents inside. How many presents does Shawn have in total?
LLemma 7B:
Reasoning: Shawn has 12*6 = <<12*6=72>>72 presents in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: What if Shawn had only 2 gift boxes instead of 12 and each box still contained 6 presents. How many presents does Shawn have in total now?
LLemma 7B:
Reasoning: Shawn has 2*6 = <<2*6=12>>12 presents in total. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In the factory, each RoboFalcon assembler can build 8 robots per hour. How many robots can it build in 12 hours?
LLemma 7B:
Reasoning: 12 hours x 8 robots per hour = <<12*8=96>>96 robots ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Suppose the RoboFalcon assembler had a minor update and the efficiency slightly reduced. Now, it can only build 6 robots per hour. How many robots can it build in 12 hours now?
LLemma 7B:
Reasoning: 12 hours x 6 robots per hour = <<12*6=72>>72 robots ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Tom has setup 2 tents and each tent has 8 poles. If each pole has 6 strengths attached, how many strings are there in total?
LLemma 7B:
Reasoning: Tom has 2 tents and each tent has 8 poles. If each pole has 6 strengths attached, there are 2*8*6 = <<2*8*6=96>>96 strings in total. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Let's change the scenario a bit. What if Tom had set up only 2 tents but each tent had 3 poles instead of 8. If each pole still has 6 strings attached, how many strings are there in total now?
LLemma 7B:
Reasoning: Tom has 2 tents and each tent has 3 poles. If each pole has 6 strengths attached, there are 2*3*6 = <<2*3*6=36>>36 strings in total. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Jane received a set of 10 camera filters as a gift. She decided to equally distribute these between her 5 cameras. How many filters would each camera get?
LLemma 7B:
Reasoning: Each camera gets 10/5 = <<10/5=2>>2 filters. Each camera gets 2 filters. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In retrospect, Jane realized that she had initially given 6 filters to each camera instead of 10. If she continued to distribute the filters equally between her 5 cameras, how many filters would each camera get initially?
LLemma 7B:
Reasoning: Each camera gets 6/5 = <<6/5=1.2>>1.2 filters. Each camera gets 1.2 filters. ### Answer: 1.2
Expected answer: 6/5
Correct? Yes
Problem: An elephant takes 1 hour to drink 1 gallon of water. If the elephant spends 1 hour by the waterhole, how many gallons of water did the elephant drink?
LLemma 7B:
Reasoning: The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks
Expected answer: 1
Correct? Yes
Problem: Given that each gallon of water weighs approximately 1 pound, if the elephant drank 1 gallon of water, how many pounds did the elephant gain from drinking?
LLemma 7B:
Reasoning: The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drink
Expected answer: 1
Correct? Yes
Problem: If instead of spending 1 hour by the waterhole, the elephant spent 5 hours there, how many gallons of water would the elephant have drank?
LLemma 7B:
Reasoning: The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drinks 1 gallon of water in 1 hour. The elephant drink
Expected answer: 5
Correct? No
Problem: If one gallon of milk can fill up 2 large containers, how many gallons of milk will be needed to fill 4 large containers?
LLemma 7B:
Reasoning: 2 gallons of milk can fill up 4 large containers. 1 gallon of milk can fill up 4/2 = <<4/2=2>>2 large containers. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Now, instead of having 4 large containers to fill with milk, imagine if we had 11 containers instead. Given the same rate of 2 containers per gallon, how many gallons of milk will we need to fill all 11 containers?
LLemma 7B:
Reasoning: 2 gallons of milk can fill up 4 large containers. 2 gallons of milk can fill up 11 containers. 1 gallon of milk can fill up 11/2 = <<11/2=5.5>>5.5 containers. ### Answer: 5.5
Expected answer: 11/2
Correct? Yes
Problem: Eddy the pirate has 3 pieces of gold. For every gold coin he has, he gets a matching emerald from the captain. How many emeralds does Eddy have now?
LLemma 7B:
Reasoning: Eddy has 3 gold coins. He gets 3 emeralds. Eddy has 3+3 = <<3+3=6>>6 emeralds. ### Answer: 6
Expected answer: 3
Correct? No
Problem: A dolphin can jump 20 feet above water. Given that every 10 feet is considered a level, what level does the dolphin reach when it jumps?
LLemma 7B:
Reasoning: The dolphin jumps 20 feet above water. 20 feet is 2 levels above water. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After observing the dolphin's jumping level, researchers discovered that dolphins can increase their jump level by 11 times when aided by a strong wave. What would be the dolphin's level if it gets help from a strong wave?
LLemma 7B:
Reasoning: The dolphin's level is 2. The dolphin's level is 211 = <<211=2048>>2048. ### Answer: 2048
Expected answer: 22
Correct? No
Problem: In light winds, the jumping level of the dolphin decreases to 20 feet instead of the usual 20 feet per level. Given that every 11 feet is still considered a level, what level does the dolphin now reach when it jumps in light winds?
LLemma 7B:
Reasoning: The dolphin jumps 20 feet above water. 20 feet is 2 levels above water. ### Answer: 2
Expected answer: 20/11
Correct? No
Problem: Jill has 28 balls which she wants to distribute equally among her 7 friends. How many balls will each friend get?
LLemma 7B:
Reasoning: 28/7 = <<28/7=4>>4 balls each friend will get. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous problem, Jill divided her 28 balls equally among her 7 friends. But what if Jill decided to divide the 28 balls equally among 10 friends instead? How many balls will each friend get then?
LLemma 7B:
Reasoning: 28/10 = <<28/10=2.8>>2.8 balls each friend will get. ### Answer: 2.8
Expected answer: 14/5
Correct? Yes
Problem: In a robotic factory, there are 8 machines on the assembly line. Each of these machines can manufacture the same number of robots per day as there are machines. How many robots can the entire factory produce in one day?
LLemma 7B:
Reasoning: There are 8 machines on the assembly line. Each of these machines can manufacture the same number of robots per day as there are machines. There are 8 machines on the assembly line. Each of these machines can manufacture 8 robots per day as there are machines. There are 8 machines on the assembly line. Each of these machines can manufacture 8*8 = <<8*8=64>>64 robots per day as there are machines. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: After assessing the weekly production, the robotic factory's management decided to replace one of the machines with a maintenance station, bringing the total number of machines down to 7. Now, if each of these 7 machines can manufacture the same number of robots per day as there are machines, how many robots would the factory produce in a day?
LLemma 7B:
Reasoning: After assessing the weekly production, the robotic factory's management decided to replace one of the machines with a maintenance station, bringing the total number of machines down to 7. Now, if each of these 7 machines can manufacture the same number of robots per day as there are machines. There are 7 machines on the assembly line. Each of these machines can manufacture 7 robots per day as there are machines. There are 7 machines on the assembly line. Each of these machines can manufacture 7*7 = <<7*7=49>>49 robots per day as there are machines. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: In a geometry class, Maya was given a task to divide a line segment into smaller segments. Initially, the line segment was 15 cm long. She decided to cut it into equal parts each 5 cm long. How many segments did Maya get in the end?
LLemma 7B:
Reasoning: Maya got <<15/5=3>>3 segments. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Maya realized that if she had divided the original 15 cm line segment into 7 cm pieces, the number of segments would have been different. If she cut the 15 cm line into equal pieces of 7 cm each, how many segments would she have obtained then?
LLemma 7B:
Reasoning: Maya would have got <<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=<<15/7=
Expected answer: 15/7
Correct? Yes
Problem: Tommy has 5 types of cheese. He multiplies this by 5 to provide variety on his cheese platter for a party. How many types of cheese does Tommy have for his cheese platter now?
LLemma 7B:
Reasoning: Tommy has 5 types of cheese. Tommy multiplies this by 5 to provide variety on his cheese platter for a party. Tommy has 5*5 = <<5*5=25>>25 types of cheese for his cheese platter now. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If Tommy originally had 7 types of cheese instead of 5, and he still intended to multiply this by 5 to provide variety on his cheese platter, how many types of cheese would Tommy have for his cheese platter then?
LLemma 7B:
Reasoning: Tommy originally had 7 types of cheese instead of 5. Tommy still intended to multiply this by 5 to provide variety on his cheese platter. Tommy has 7*5 = <<7*5=35>>35 types of cheese for his cheese platter then. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: The width of a river increases by 10 feet every year. After 9 years, how much has the width of the river increased?
LLemma 7B:
Reasoning: The width of the river increases by 10 feet every year. After 9 years, the width of the river has increased by 9*10 = <<9*10=90>>90 feet. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: If the width of the river only increases by 10 feet every 3 years instead of every year, how much does the river's width increase after 9 years?
LLemma 7B:
Reasoning: The width of the river increases by 10 feet every 3 years. After 9 years, the width of the river has increased by 9/3*10 = <<9/3*10=30>>30 feet. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Jessica has a collection of stuffed animals. She currently groups them in sets of 4. If she has 20 stuffed animals in total, how many groups does she have?
LLemma 7B:
Reasoning: Jessica has 20/4 = <<20/4=5>>5 groups. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Originally, Jessica decided to group her collection of 20 stuffed animals into sets of 4. But what if she had originally decided to group her stuffed animals into sets of 4, but she only had 9 stuffed animals instead of 20? How many groups would she have then?
LLemma 7B:
Reasoning: Jessica would have 9/4 = <<9/4=2.25>>2.25 groups. ### Answer: 2.25
Expected answer: 9/4
Correct? Yes
Problem: Tom has a set of 5 drums. Each of the drums has a length of 8 inches. Find out, How long would it be if he put all of his drums side by side?
LLemma 7B:
Reasoning: Tom has a set of 5 drums. Each of the drums has a length of 8 inches. Tom has 5 x 8 = <<5*8=40>>40 inches of drums. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Following the last question, Tom decided to add a second row of drums beneath the first. If he maintains the same length of 8 inches per drum and the same number of 5 drums per row, how long will the two rows of drums combined be if placed side by side?
LLemma 7B:
Reasoning: Tom has a set of 5 drums. Each of the drums has a length of 8 inches. Tom has 5 x 8 = <<5*8=40>>40 inches of drums. Tom has 5 x 8 = <<5*8=40>>40 inches of drums. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: Following the previous question, let's consider a different scenario. Suppose, initially, each of Tom's 5 drums were 11 inches long instead of 8. How long would it be if he put all of his drums side by side?
LLemma 7B:
Reasoning: Tom has a set of 5 drums. Each of the drums has a length of 11 inches. Tom has 5 x 11 = <<5*11=55>>55 inches of drums. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: Jack has 5 apples and decides to multiply it by 6 to get the total number of oranges he can trade them for. How many oranges can he get?
LLemma 7B:
Reasoning: 5*6 = <<5*6=30>>30 Jack can get 30 oranges. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Now consider if Jack started with 12 apples instead of 5. He decides to multiply it by 6 again to see how many oranges he can get. How many oranges can he now get?
LLemma 7B:
Reasoning: 12*6 = <<12*6=72>>72 Jack can get 72 oranges. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A set of marker pens come with 6 different colors. If a whole pack contains 72 marker pens, how many sets of different colors are there in it?
LLemma 7B:
Reasoning: 72/6 = <<72/6=12>>12 sets of different colors are there in it. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A dragon guards a cave that contains 80 pieces of gold. The dragon decided to equally distribute the gold into 8 separate piles. How many pieces of gold does each pile contain?
LLemma 7B:
Reasoning: 80/8 = <<80/8=10>>10 pieces of gold in each pile. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: After dividing the gold into 8 piles, the dragon decided to protect the most important treasure trove, which contains 4 times the number of gold pieces in each pile. How much gold is in the dragon's special pile?
LLemma 7B:
Reasoning: 4*10 = <<4*10=40>>40 gold pieces in the special pile. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Let's reconsider the original situation. Suppose the dragon initially had 80 pieces of gold but decided to divide them into 11 piles instead of 8. How many pieces of gold would each pile contain in this scenario?
LLemma 7B:
Reasoning: 80/11 = <<80/11=7.27>>7.27 pieces of gold in each pile. ### Answer: 7.27
Expected answer: 80/11
Correct? No
Problem: John wants to divide his camping area of 44 square meters into 11 equal sections. Each of these sections would host a tent. If each tent can accommodate 12 campers, how many campers can camp in total?
LLemma 7B:
Reasoning: 44/11 = <<44/11=4>>4 Each tent can accommodate 12 campers. 12*4 = <<12*4=48>>48 campers can camp in total. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A tiger can travel 6 miles in an hour. How far can it travel in 3 hours?
LLemma 7B:
Reasoning: A tiger can travel 6 miles in an hour. A tiger can travel 6*3 = <<6*3=18>>18 miles in 3 hours. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the previous problem we found out that a tiger can travel 6 miles in an hour. But what if the tiger could cover more ground in the same time span? If the tiger can travel 7 times as far in an hour, how far can it travel then?
LLemma 7B:
Reasoning: A tiger can travel 6 miles in an hour. A tiger can travel 6*7 = <<6*7=42>>42 miles in an hour. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: A number sets of 6 are multiplied by 7. What is the resulting product?
LLemma 7B:
Reasoning: 6 x 7 = <<6*7=42>>42
Expected answer: 42
Correct? Yes
Problem: Following the previous problem. Consider that instead of multiplying 6 sets by 7, we multiply 4 sets by 7. What is the resulting product now?
LLemma 7B:
Reasoning: 4 x 7 = <<4*7=28>>28
Expected answer: 28
Correct? No
Problem: A doctor works double shift every day. If one shift is 6 hours, for how many hours does the doctor work each day?
LLemma 7B:
Reasoning: The doctor works 12 hours each day. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following his extra shifts, the doctor wants to reduce his workload. He decides to work 11 hours a day instead. How many hours does he work in a two-day period now?
LLemma 7B:
Reasoning: The doctor works 22 hours in a two-day period. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: A farmer plants 6 seeds in each row of his field. If he has 11 rows total, how many seeds did he plant?
LLemma 7B:
Reasoning: 6 seeds in each row, 11 rows total. <<6*11=66>> ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Mommy has a tradition that for every month, she buys 5 new toys for her baby. If the baby is 10 months old, how many toys has Mommy bought in total?
LLemma 7B:
Reasoning: Mommy has bought 5*10 = <<5*10=50>>50 toys for the baby.
Expected answer: 50
Correct? Yes
Problem: After reflecting on her toy buying habits, Mommy realizes that she bought too many toys in the beginning. Instead of buying 5 new toys every month for 10 months, she now remembers that there was a month when she didn't buy any toys. Therefore, she only bought 5 toys per month for 9 months. How many toys did she actually buy during that period?
LLemma 7B:
Reasoning: Mommy bought 5*9 = <<5*9=45>>45 toys during that period.
Expected answer: 45
Correct? No