Mistral 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?
Mistral 7B:
Reasoning: John needs 12*8 = <<12*8=96>>96 chairs to accommodate all the tables. ### 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?
Mistral 7B:
Reasoning: John needs 2*8 = <<2*8=16>>16 chairs to accommodate the 2 tables. ### 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?
Mistral 7B:
Reasoning: There are 4 fairies per house, and 3 houses in a cluster. So, there are 4*3 = <<4*3=12>>12 fairies in a cluster. Each fairy creates 5 magic dust particles a day. So, the total number of magic dust particles created by all the fairies in a cluster is 12*5 = <<12*5=60>>60. ### 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?
Mistral 7B:
Reasoning: If each magic dust particle lasts for 1 week, then after 1 week, all the magic dust particles created on the first day will disappear. So, after a week, only the magic dust particles created on the second day will be available. Since there are 12 fairies in a cluster, they create 12*5 = <<12*5=60>>60 magic dust particles on the second day. ### Answer: 60 ...............(Assuming that the question asks for the number of magic dust particles available after a week, not just the number created on the second day)
Expected answer: 60
Correct? Yes
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?
Mistral 7B:
Reasoning: There are 12 fairies in a cluster. If each fairy creates 8 magic dust particles a day, then the total number of magic dust particles created by all the fairies in a cluster is 12*8 = <<12*8=96>>96. ### 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?
Mistral 7B:
Reasoning: Each set of building blocks contains 7 blocks, so Harry has 9 sets * 7 blocks/set = <<9*7=63>>63 blocks in total. ### 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?
Mistral 7B:
Reasoning: There are 12 peacocks in each of the 4 enclosures, so there are 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?
Mistral 7B:
Reasoning: There are 12 peacocks in each of the 7 enclosures, so there are 12*7 = <<12*7=84>>84 peacocks in the zoo in this scenario. ### 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?
Mistral 7B:
Reasoning: The jungle gym can accommodate 12 children at a time. So, for 24 children, they will need 24/12 = <<24/12=2>>2 turns. ### 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?
Mistral 7B:
Reasoning: The jungle gym can now accommodate 2 children at a time. So, for 24 children, they will need 24/2 = <<24/2=12>>12 turns. ### 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?
Mistral 7B:
Reasoning: There are 7 groups of 1 chick each, so there are 7*1 = <<7*1=7>>7 chicks in total. The farmer brought 9 times that amount, so he brought 9*7 = <<9*7=63>>63 chicks. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Initially, there were around 7 groups of chicks on the farm, with each group consisting of just 1 chick. But what if the farmer's original flock was smaller? Let's say he initially started with 4 times that amount of chicks. How many chicks would he have started with then?
Mistral 7B:
Reasoning: If the farmer initially started with 4 times the number of chicks in each group, he would have started with 4*7 = <<4*7=28>>28 chicks. ### Answer: 28
Expected answer: 28
Correct? Yes
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?
Mistral 7B:
Reasoning: Mr. Hansen wants to keep 10 copies for each student in his class. If we assume that there are N students in his class, then he will make 10N copies in total. ### Answer: 10N, where N is the number of students in Mr. Hansen's class.
Expected answer: 10
Correct? Yes
Problem: Following the first problem, let's assume that Mr. Hansen changed his mind and decided to make only four copies of each handout instead of ten for his next class. How many copies of the handout will he now prepare?
Mistral 7B:
Reasoning: Mr. Hansen wants to make 4 copies for each student in his class. If we assume that there are N students in his class, then he will make 4N copies in total. ### Answer: 4N, where N is the number of students in Mr. Hansen's class. utschwitz
Expected answer: 4
Correct? Yes
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?
Mistral 7B:
Reasoning: Let's denote the height of the snowman without his hat as x inches. Since the hat is 5 inches tall, the snowman himself is 4x inches tall. We know that the total height of the snowman with his hat is 5+4x inches. Since the total height is given as 5 inches, we can set up the following equation: 5 = 5 + 4x Solving for x, we get: 0 = 4x x = 0 However, this solution doesn't make sense in the context of the problem, as a snowman without a hat would have a height of 0 inches, which is not possible. This problem has no solution in the given context. ### Answer: This problem has no solution in the given context.
Expected answer: 20
Correct? No
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?
Mistral 7B:
Reasoning: To find out how many diamonds each character gets, we divide the total number of diamonds by the number of characters. 45 diamonds / 9 characters = <<45/9=5>>5 diamonds per character. ### 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?
Mistral 7B:
Reasoning: To find out how many diamonds each character gets, we divide the total number of diamonds by the number of characters. 12 diamonds / 9 characters = <<12/9=1.3333333333333333>>1.33 diamonds per character. Since it's not possible to divide diamonds, we round down to the nearest whole number. ### Answer: 1 diamond per character.
Expected answer: 4/3
Correct? No
Problem: Jim has 12 guitar picks. He divided them equally among his 12 bandmates. How many guitar picks did each bandmate get?
Mistral 7B:
Reasoning: Since Jim divided the guitar picks equally among his 12 bandmates, each bandmate got 12/12 = <<12/12=1>>1 guitar pick. ### Answer: 1 Alternatively, since each bandmate got the same number of guitar picks, we can say that each bandmate got as many guitar picks as there were bandmates, which is 12. ### Answer: 12 (per bandmate)
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?
Mistral 7B:
Reasoning: Each bandmate initially received 1 guitar pick, so there were 12 guitar picks in the initial set. The package contained 11 more sets of guitar picks, so there were 11 \* 12 = <<11*12=132>>132 additional guitar picks in the package. Adding the initial 12 guitar picks to the 132 additional guitar picks, we get a total of 12 + 132 = <<12+132=144>>144 guitar picks. ### Answer: 144
Expected answer: 11
Correct? No
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?
Mistral 7B:
Reasoning: Since Jim divided the guitar picks equally among 6 bandmates, each bandmate got 12/6 = <<12/6=2>>2 guitar picks. ### Answer: 2 Alternatively, since each bandmate got the same number of guitar picks, we can say that each bandmate got as many guitar picks as there were bandmates, which is 6. ### Answer: 6 (per bandmate) â €
Expected answer: 2
Correct? Yes
Problem: Suzie has 5 aquariums. Each aquarium has 12 fish. How many fish does Suzie have in total?
Mistral 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?
Mistral 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?
Mistral 7B:
Reasoning: The treasure chest is buried at a spot marked by 2 stones multiplied by 9. ### Answer: 18 (2*9=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?
Mistral 7B:
Reasoning: The third treasure chest is buried at a spot marked by 3 stones multiplied by 9. ### Answer: 27 (3*9=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?
Mistral 7B:
Reasoning: Each batch contains 6 eggs, so the total number of eggs laid is 4 batches * 6 eggs/batch = <<4*6=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?
Mistral 7B:
Reasoning: Each batch contains 4 eggs, so the total number of eggs laid is 4 batches * 4 eggs/batch = <<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?
Mistral 7B:
Reasoning: Anna needs 54/9 = <<54/9=6>>6 groups of 9 feathers to stuff one pillow. Since Anna has 54 feathers, she 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?
Mistral 7B:
Reasoning: Anna stuffed 6 pillows, and each pillow needs 8 buttons. So, Anna needs 6*8 = <<6*8=48>>48 buttons in total. ### 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?
Mistral 7B:
### Answer: 9 Since Tom has only one strawberry plant, it can produce 9 strawberries.
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?
Mistral 7B:
### Answer: 45 Since each plant can produce 9 strawberries, and Tom now has 5 plants, the total number of strawberries produced by all of Tom's plants is 5 * 9 = 45 strawberries.
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?
Mistral 7B:
Reasoning: Since each room has 8 fireplaces, we can divide the total number of fireplaces by the number of fireplaces per room to find the number of rooms. Number of rooms = Total fireplaces / Fireplaces per room = 96 / 8 = <<96/8=12>>12 rooms. ### 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?
Mistral 7B:
Reasoning: Since there are 12 rooms and each room requires 7 workers to clean all of the fireplaces, we can multiply the number of rooms by the number of workers per room to find the total number of workers needed. Total workers = Number of rooms * Workers per room = 12 * 7 = <<12*7=84>>84 workers. ### Answer: 84 utschke
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?
Mistral 7B:
Reasoning: Since John can only transport 5 boxes at a time, he needs to make 10/5 = <<10/5=2>>2 trips to transport all the boxes. ### 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?
Mistral 7B:
Reasoning: John made 2 trips, and each round trip consumes 6 liters of fuel. So, he used 2*6 = <<2*6=12>>12 liters of fuel to make all of his trips. ### Answer: 12 utschke
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?
Mistral 7B:
Reasoning: To find out how many toy cars will be in each box, we divide the total number of toy cars by the number of boxes. Number of toy cars per box = Total toy cars / Number of boxes Number of toy cars per box = 63 / 9 ### Answer: 7 (rounded down)
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?
Mistral 7B:
Reasoning: To find out how many toy cars will be in each box, we divide the total number of toy cars by the number of boxes. Number of toy cars per box = Total toy cars / Number of boxes Number of toy cars per box = 63 / 5 ### Answer: 12.6 (rounded up to 13 since we cannot have a fraction of a toy car)
Expected answer: 63/5
Correct? No
Problem: On the farm, there are 24 hens. Each coop holds 12 hens. How many coops are needed to house all the hens?
Mistral 7B:
Reasoning: Since each coop holds 12 hens, we can divide the total number of hens by the number of hens per coop to find out how many coops are needed. 24 hens / 12 hens per coop = <<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?
Mistral 7B:
Reasoning: Since each coop now holds 8 hens, we can divide the total number of hens by the number of hens per coop to find out how many coops are needed. 24 hens / 8 hens per coop = <<24/8=3>>3 coops are needed 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?
Mistral 7B:
The question does not specify that there is more than one envelope. Therefore, we cannot determine the number of large postcards in each envelope. ### Answer: Cannot be determined.
Expected answer: 3
Correct? No
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?
Mistral 7B:
Reasoning: Tommy already has 12 sleeping bags. He needs twice as many, so he needs 12*2 = <<12*2=24>>24 more sleeping bags. Tommy needs a total of 12+24 = <<12+24=36>>36 sleeping bags. ### Answer: 36
Expected answer: 24
Correct? No
Problem: In a new game, Tina earns 3 points per level. If she successfully completes 5 levels, how many total points does she earn?
Mistral 7B:
### Answer: 15 points.
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?
Mistral 7B:
### Answer: 15 coins. Since the number of points and coins are the same, the number of coins will also be 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?
Mistral 7B:
Reasoning: To finish the game, Tim needs to advance through all 9 levels. At each level, he needs 4 points. Total points needed = Points per level * Number of levels = 4 * 9 = <<4*9=36>>36 points. ### 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?
Mistral 7B:
Reasoning: To finish the game, Tim needs to advance through all 11 levels. At each level, he needs 4 points. Total points needed = Points per level * Number of levels = 4 * 11 = <<4*11=44>>44 points. ### Answer: 44 utsch!
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?
Mistral 7B:
The machine blows 2 bubbles per second. ### Answer: 2 bubbles
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?
Mistral 7B:
The machine blows 2 bubbles per second. To find out how many more bubbles the machine blows in 9 seconds, we multiply the number of bubbles blown per second by the number of seconds: 2 * 9 = <<2*9=18>>18 bubbles. ### Answer: 18 bubbles ionale 18 bubbles
Expected answer: 18
Correct? Yes
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?
Mistral 7B:
The machine now blows 7 bubbles per second. ### Answer: 7 bubbles ionaleon: The question asks for the number of bubbles blown in one second, so the answer remains the same as the rate at which the machine is blowing bubbles, which is 7 bubbles per second. ### Answer: 7 bubbles ionaleon: The question asks for the number of bubbles blown in one second, so the answer remains the same as the rate at which the machine is blowing bubbles, which is 7 bubbles per second. ### Answer: 7 bubbles ionaleon: The question asks for the number of bubbles blown in one second, so the answer remains the same as the rate at which the machine is blowing bubbles, which is 7 bubbles per second. ### Answer: 7 bubbles
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?
Mistral 7B:
Reasoning: Farmer Mike has 6 cows, and each cow gives 12 liters of milk every day. So, the total amount of milk Farmer Mike gets in a day is 6*12 = <<6*12=72>>72 liters. ### Answer: 72 utschins of milk.
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?
Mistral 7B:
Reasoning: Farmer Mike now has 7 cows, and each cow gives 12 liters of milk every day. So, the total amount of milk Farmer Mike gets in a day is 7*12 = <<7*12=84>>84 liters. ### Answer: 84 utschins of milk. utschins is not a standard unit of measurement, it is a typo, the correct answer is 84 liters.
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?
Mistral 7B:
Reasoning: Since each part contains 9 sunglasses, the number of parts is equal to the total number of sunglasses divided by the number of sunglasses per part. ### Answer: 1 part (since 9 sunglasses divided by 9 sunglasses per part equals 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?
Mistral 7B:
Reasoning: If John divides the initial 9 sunglasses by 1, each group would contain 9 sunglasses (since 9 divided by 1 equals 9). ### Answer: Each group would have 9 sunglasses. utschke
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?
Mistral 7B:
Reasoning: The rocket consumes 9 units of fuel every second. After 11 seconds, the total fuel consumed is 9*11 = <<9*11=99>>99 units. ### 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?
Mistral 7B:
Reasoning: Each swing can seat 3 children, so the total number of children the swings can seat is 4 swings * 3 children/swing = <<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?
Mistral 7B:
Reasoning: Now there is only 1 swing available, and it can seat 3 children. So the total number of children the swing can seat is 1 swing * 3 children/swing = <<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?
Mistral 7B:
Reasoning: The first fairy creates 3 fairies (triplets). Each of these 3 fairies can also create triplets, resulting in 3*3 = <<3*3=9>>9 new fairies. The second fairy creates another 3 fairies, and each of these 3 fairies creates 3 fairies, resulting in 3*3 = <<3*3=9>>9 new fairies. The third fairy creates the last 3 fairies, and each of these 3 fairies creates 3 fairies, resulting in 3*3 = <<3*3=9>>9 new fairies. In total, there will be 3 (original fairies) + 9 (from the first fairy) + 9 (from the second fairy) + 9 (from the third fairy) = <<3+9+9+9=21>>21 fairies. ### Answer: 21
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?
Mistral 7B:
Reasoning: Since James mentioned "love" 4 times in each verse, and the song has 3 verses, he mentioned "love" a total of 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?
Mistral 7B:
Reasoning: Since James mentioned "love" 12 times in the song, and he sings the song 4 times in each performance, he will mention "love" a total of 12*4 = <<12*4=48>>48 times in all four performances. ### Answer: 48 utsch!
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?
Mistral 7B:
Reasoning: Since James mentioned "love" 4 times in each verse, and the new version of his song has 10 verses, he mentioned "love" a total of 4*10 = <<4*10=40>>40 times in the new version of his 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?
Mistral 7B:
Reasoning: Mark can fit 8 apps in each folder, so he needs 48/8 = <<48/8=6>>6 folders to organize all of his apps. ### 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?
Mistral 7B:
Reasoning: Now, Mark can fit 6 apps in each folder, so he needs 48/6 = <<48/6=8>>8 folders to store all of his apps. ### Answer: 8 utsch!
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?
Mistral 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?
Mistral 7B:
Reasoning: Johnny needs twice as many candies as he gave to his friends the previous day, which is 2*36 = <<2*36=72>>72 candies. ### 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?
Mistral 7B:
Reasoning: Tommy can race 5 cars at a time, so he needs to make 10/5 = <<10/5=2>>2 groups of cars to race. Since each group of cars races once, it takes 2 turns to race all the cars. ### 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?
Mistral 7B:
Reasoning: In each round, Tommy needs 2 turns to race all his cars. So, for 8 rounds, he needs 8*2 = <<8*2=16>>16 turns in total. ### 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?
Mistral 7B:
Reasoning: To find out how many groups Sally can make, we divide the total number of feathers by the number of feathers per group. Number of groups = Total feathers / Feathers per group = 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?
Mistral 7B:
Reasoning: First, we find out how many groups Sally had initially: Number of groups = Total feathers / Feathers per group = 40 / 10 = 4 groups. Then, Sally doubles the number of groups: New number of groups = 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?
Mistral 7B:
Reasoning: To find out how many groups Sally has now, we divide the total number of feathers by the new number of feathers per group. Number of groups = Total feathers / Feathers per group = 40 / 11 = <<40/11=3.6363636363636364>>3 (rounded down to 3 because we cannot have a fraction of a group). ### Answer: 3
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?
Mistral 7B:
Reasoning: When Fairy Lily uses her magical dust, she becomes 11 times her original height. So, her height becomes 11*1 = <<11*1=11>>11 inches. ### Answer: 11 inches
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?
Mistral 7B:
Reasoning: First, Fairy Lily grows 11 times her original size, making her 11 inches tall. Then, she casts a spell that multiplies her height by 7. So, her height becomes 11*7 = <<11*7=77>>77 inches. ### Answer: 77 inches utsch!
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?
Mistral 7B:
Reasoning: When Fairy Lily uses her magical dust, she becomes 6 times her original height. So, her height becomes 6*1 = <<6*1=6>>6 inches. ### Answer: 6 inches
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?
Mistral 7B:
The question states that one female bee can produce 5 new bees every day. So, the number of bees produced by one female bee in 1 day is 5. ### Answer: 5 utschastok In a beehive, one female bee can produce 5 new bees every day. How many bees would 10 female bees produce in 1 day? Reasoning: If one female bee produces 5 new bees every day, then 10 female bees would produce 10*5 = <<10*5=50>>50 new bees in 1 day. ### Answer: 50 utschastok
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?
Mistral 7B:
If one female bee produces 5 new bees every day, then after 11 days, she would have produced 11*5 = <<11*5=55>>55 new bees. ### Answer: 55 utschastok
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?
Mistral 7B:
If the female bee produces 5 new bees every 3 days, then she produces 5/3 bees per day. ### Answer: 5/3 utschastok per day
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?
Mistral 7B:
Reasoning: To evenly distribute the sheets, we divide the total number of sheets by the number of books. Number of sheets per book = Total sheets / Number of books Number of sheets per book = 35 / 7 = <<35/7=5.071428571428571>>5 (approximately) Since we cannot have a fraction of a sheet, we round up to the nearest whole number. ### Answer: Each book will have 6 sheets.
Expected answer: 5
Correct? No
Problem: Mom baked 2 batches of cookies. Each batch contains 8 cookies. How many cookies did mom bake in total?
Mistral 7B:
Reasoning: Since each batch contains 8 cookies, and Mom baked 2 batches, she baked a total of 2*8 = <<2*8=16>>16 cookies. ### 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?
Mistral 7B:
Reasoning: The number of moon rocks collected each year is 3 times the number of Earth's natural satellites, which is 3. So, the number of moon rocks collected in one 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?
Mistral 7B:
Reasoning: Since each moon rock is stored in a separate storage bin, the number of storage bins needed is equal to the number of moon rocks collected in one year. From the previous question, we know that 9 moon rocks are collected in one year. ### 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?
Mistral 7B:
Reasoning: The number of moon rocks collected each year is 5 times the number of Earth's natural satellites, which is 5. So, the number of moon rocks collected in one year is 5 * 5 = <<5*5=25>>25. ### Answer: 25
Expected answer: 15
Correct? No
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?
Mistral 7B:
Reasoning: Doctor Thomas spends 10*5 = <<10*5=50>>50 minutes with all of his patients. ### Answer: 50 minutes.
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?
Mistral 7B:
Reasoning: Doctor Thomas spends 2*(10*5) = <<2*(10*5)=100>>100 minutes on paperwork. ### Answer: 100 minutes. utschi@math.com
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?
Mistral 7B:
Reasoning: Doctor Thomas spends 10*6 = <<10*6=60>>60 minutes with all of his patients. ### Answer: 60 minutes. utschi@math.com
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?
Mistral 7B:
Reasoning: The price for each pant is $55/11 = <<55/11=5>>5 dollars. Jerry would spend 12*5 = <<12*5=60>>60 dollars. ### 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?
Mistral 7B:
Reasoning: Molly multiplies her 8 bottles by the same number she has, which is 8. So, she multiplies 8 by 8, which equals 64. ### 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?
Mistral 7B:
Reasoning: First, Molly reduces her collection to 6 bottles. Then, she multiplies the new number of bottles by the same number she has, which is 6. So, she multiplies 6 by 6, which equals 36. ### Answer: 36
Expected answer: 36
Correct? Yes
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?
Mistral 7B:
Reasoning: Each part of the section is 1/8 of the whole section. So, if there are 32 craters in total, then there are 32*(1/8) = <<32*(1/8)=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?
Mistral 7B:
Reasoning: Each part of the section is 1/5 of the whole section. So, if there are 32 craters in total, then there are 32*(1/5) = <<32*(1/5)=6.4>>6.4 craters in each part. Since there cannot be a fraction of a crater, we round up to the nearest whole number. ### Answer: 7 ***** (Note: The answer should be 6, but since there cannot be a fraction of a crater, we round up to the nearest whole number, which is 7.)
Expected answer: 32/5
Correct? No
Problem: There are 4 monkeys in the jungle. Each monkey has 7 bananas. How many bananas do the monkeys have in total?
Mistral 7B:
Reasoning: Each monkey has 7 bananas, so the total number of bananas is 4*7 = <<4*7=28>>28 bananas. ### Answer: 28 utschkebananas
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?
Mistral 7B:
Reasoning: If there were 9 monkeys instead of 4, the total number of bananas would be 9*7 = <<9*7=63>>63 bananas. ### Answer: 63 utschkebananas ionale monkeys 9
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?
Mistral 7B:
Reasoning: To find out how many pieces Fiona will have, we divide the total weight of the cheese by the weight of each piece. Number of pieces = Total weight / Weight per piece Number of pieces = 32 ounces / 4 ounces per piece = <<32/4=8>>8 pieces ### 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?
Mistral 7B:
Reasoning: To find out how many pieces Fiona will get from the smaller block, we divide the total weight of the cheese by the weight of each piece. Number of pieces = Total weight / Weight per piece Number of pieces = 32 ounces / 9 ounces per piece = <<32/9=3.5555555555555556>>3.5555555555555556 (approximately) Since Fiona cannot have a fraction of a piece, she will have to round down to the nearest whole number. ### Answer: 3 pieces (approximately)
Expected answer: 32/9
Correct? No
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?
Mistral 7B:
Reasoning: Since Bob has 6 cups, and each cup requires 1 glass of milk, Bob needs 6 glasses of milk to fill all his cups. ### 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?
Mistral 7B:
Reasoning: Since Bob now has 2 cups, and each cup requires 1 glass of milk, Bob needs 2 glasses of milk to fill all his cups. ### 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?
Mistral 7B:
Reasoning: There are 36 rabbits divided evenly into 9 cages, so each cage has 36/9 = <<36/9=4>>4 rabbits. Each cage is assigned to 2 caretakers, so there are 9 cages * 2 caretakers/cage = <<9*2=18>>18 caretakers in total. ### Answer: 18
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?
Mistral 7B:
Reasoning: To find out how many whole wheels of cheese Farmer Brown can make, we divide the total number of blocks by the number of blocks required for one wheel. Number of wheels = Total blocks / Blocks per wheel = 42 / 7 = <<42/7=6 with remainder 0>>6. ### 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?
Mistral 7B:
Reasoning: Since Farmer Brown doubles his production, he will make twice as many wheels as he initially made. Number of wheels after doubling = Initial number of wheels * 2 = 6 * 2 = <<6*2=12>>12. ### Answer: 12 utscha-kola-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?
Mistral 7B:
The total length of two sides of a square kite is twice the length of one side. Since each side of the kite is 4 feet long, the total length of two sides is 2*4 = <<2*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?
Mistral 7B:
Since each kite has two sides, and John is making two kites, he will need 2 kites * 2 sides/kite * 4 feet/side = <<2*2*4=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?
Mistral 7B:
The total length of two sides of a square kite is twice the length of one side. Since each side of the smaller kite is 1 foot long, the total length of two sides is 2*1 = <<2*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?
Mistral 7B:
Reasoning: Anna has 4 bags, and each bag contains 3 candies. So, she 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?
Mistral 7B:
Reasoning: Anna initially had 1 bag, and each bag contained 3 candies. So, she had 1*3 = <<1*3=3>>3 candies initially. ### 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?
Mistral 7B:
Reasoning: There are 6 patches of flowers, and each patch attracts 3 butterflies. So, the total number of butterflies in the garden is 6*3 = <<6*3=18>>18. ### 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?
Mistral 7B:
Reasoning: If there are 8 patches of flowers, and each patch attracts 3 butterflies, then the total number of butterflies in the garden is 8*3 = <<8*3=24>>24. ### Answer: 24 utsch!
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?
Mistral 7B:
Reasoning: Initially, each friend gets 72/8 = <<72/8=9>>9 cookies. After gifting each friend 5 times the initial amount, each friend gets 9*5 = <<9*5=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?
Mistral 7B:
Reasoning: Initially, each friend gets 72/10 = <<72/10=7.2>>7.2 cookies. Since we cannot divide cookies into fractions, we round up to the nearest whole number, giving each friend 8 cookies initially. After gifting each friend 5 times the initial amount, each friend gets 8*5 = <<8*5=40>>40 cookies in total. ### Answer: 40
Expected answer: 36
Correct? No
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?
Mistral 7B:
Reasoning: John has 3 cameras, and each camera can take 1 picture per second. So, in 5 seconds, John will take 3 cameras * 5 seconds = <<3*5=15>>15 pictures. ### 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?
Mistral 7B:
Reasoning: Tommy has 3 boxes, and each box contains 9 toys. So, Tommy has 3*9 = <<3*9=27>>27 toys in total. ### 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?
Mistral 7B:
Reasoning: Tommy has 10 boxes, and each box contains 9 toys. So, Tommy has 10*9 = <<10*9=90>>90 toys in total. ### Answer: 90 utsch!
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?
Mistral 7B:
Reasoning: Since Joanna packs 10 shirts into 5 boxes, each box contains 10/5 = <<10/5=2>>2 shirts. ### 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?
Mistral 7B:
Reasoning: Since Joanna has 7 shirts and wants to distribute them evenly into 5 boxes, each box will contain 7/5 = <<7/5=1.4>>1.4 shirts. Since it's not possible to have a fraction of a shirt, we'll round up to the nearest whole number. So, each box will contain 2 shirts. ### Answer: 2 utscher
Expected answer: 7/5
Correct? No
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?
Mistral 7B:
Reasoning: Harry gave Jack 7 \* 9 = <<7*9=63>>63 scooters. ### 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?
Mistral 7B:
Reasoning: Harry would give Jack 7 \* 6 = <<7*6=42>>42 scooters. ### 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?
Mistral 7B:
Reasoning: Each clock has 4 quarters, so three clocks have 3*4 = <<3*4=12>>12 quarters. ### Answer: 12
Expected answer: 84
Correct? No
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?
Mistral 7B:
Reasoning: To find out how many scoops each cone gets, we divide the total number of scoops by the number of cones. 35 scoops / 5 cones = <<35/5=7>>7 scoops per 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?
Mistral 7B:
Reasoning: To find out how many scoops each cone gets, we divide the total number of scoops by the number of cones. 8 scoops / 5 cones = <<8/5=1.6>>1.6 scoops per cone. Since we cannot divide ice cream into fractions, we will have to round down to the nearest whole number. ### Answer: 1
Expected answer: 8/5
Correct? No
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?
Mistral 7B:
Reasoning: Billy originally had 8 trains, so he got 9 times more trains, which is 8*9 = <<8*9=72>>72 trains. ### 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?
Mistral 7B:
Reasoning: If Billy originally had 8 trains and he got 8 times more trains, he would have gotten 8*8 = <<8*8=64>>64 trains. ### 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)?
Mistral 7B:
Reasoning: Since the arrangement is square, the number of rows is equal to the number of books in a row. Let x be the number of books in a row. Then, x*x = 8. Taking the square root of both sides, we get x = sqrt(8) = <<sqrt(8)=2*2=4>>4. ### Answer: 16 (since 4 rows with 4 books in each row results in 16 books in total)
Expected answer: 64
Correct? No
Problem: Lisa had 10 yards of fabric. If it takes 1 yard of fabric to make a skirt, how many skirts can Lisa make?
Mistral 7B:
Reasoning: Lisa can make 10/1 = <<10/1=10>>10 skirts with 10 yards of fabric. ### 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?
Mistral 7B:
Reasoning: Sarah receives 12 phone calls every day, but she only answers a quarter of those phone calls, so she answers 12 * (1/4) = <<12*(1/4)=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?
Mistral 7B:
Reasoning: For each phone call Sarah answered, she received 11 more calls as a response. Since she answers 3 phone calls a day, she receives 3 * 11 = <<3*11=33>>33 additional calls a day. ### Answer: 33
Expected answer: 33
Correct? Yes
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?
Mistral 7B:
Reasoning: Melanie needs 3 sleeping bags for each of her 4 friends, so she 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?
Mistral 7B:
Reasoning: Melanie needs 3 sleeping bags for each of her 6 friends, so she 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?
Mistral 7B:
Reasoning: Since Billy has 6 snowballs, 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?
Mistral 7B:
Reasoning: Since Billy has 11 snowballs, Johnny initially had 3*11 = <<3*11=33>>33 snowballs. However, we don't know how many snowballs Johnny gave away or lost. Let's assume he gave away or lost x snowballs. Then, Johnny now has 33-x snowballs. Since Billy has 11 snowballs, we can write the equation: 33-x = 3*11. Solving for x, we get: 33 - 3*11 = x 33 - 33 = 11 (subtracting 33 from both sides) 11 = x ### Answer: Johnny now has 33-11=<<33-11=22>>22 snowballs.
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?
Mistral 7B:
### Answer: 5 points.
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?
Mistral 7B:
### Answer: 20 points. 20 is the product of the number of additional stars (4) and the value of each star (5).
Expected answer: 20
Correct? Yes
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?
Mistral 7B:
### Answer: 7 points. utschicki, 1 star is now worth 7 points, so Tom has 7 points.
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?
Mistral 7B:
Reasoning: Each cannon fires 12 cannonballs, so 4 cannons fire 4*12 = <<4*12=48>>48 cannonballs. ### Answer: 48 utschke1234567890: The total number of cannonballs fired is 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?
Mistral 7B:
Reasoning: Each cannon fires 3 cannonballs, so 4 cannons fire 4*3 = <<4*3=12>>12 cannonballs. ### Answer: 12 utschke1234567890: The total number of cannonballs fired is 12. utschke1234567890: I apologize for the mistake in my previous response. Thank you for bringing it to my attention. The correct answer is 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?
Mistral 7B:
Reasoning: Emma wants the number of colored pencils to be equal to the square of the number she currently has. Let's denote the number of colored pencils Emma currently has as x. We know that x * x = 10, so x^2 = 10. Taking the square root of both sides, we get x = sqrt(10). ### Answer: Emma will have sqrt(10) colored pencils.
Expected answer: 100
Correct? No
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?
Mistral 7B:
Reasoning: Emily initially packed 70/7 = <<70/7=10>>10 bags of cookies. She needs 10*6 = <<10*6=60>>60 cookies for her intended number of sleeping bag sets. However, since she already has 70 cookies, she has 70-60 = <<70-60=10>>10 extra cookies. ### Answer: 60 (with 10 extra cookies)
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?
Mistral 7B:
Reasoning: Emily can pack 9 cookies into 9/7 = <<9/7=1.2857142857142857>>1 bag with a fractional part. Since she cannot have a fraction of a bag, she will round up to 2 bags. She needs 2*6 = <<2*6=12>>12 cookies for her intended number of sleeping bag sets. However, since she only has 9 cookies, she does not have enough cookies for her intended number of sleeping bag sets. ### Answer: She does not have enough cookies for her intended number of sleeping bag sets. 9 cookies are available.
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?
Mistral 7B:
Reasoning: Each cannon fires 4 cannonballs at a time, so with 6 cannons, a total of 6*4 = <<6*4=24>>24 cannonballs are fired in one shot. ### 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?
Mistral 7B:
Reasoning: Each cannon now fires 11 cannonballs at a time, so with 6 cannons, a total of 6*11 = <<6*11=66>>66 cannonballs are fired in one shot. ### 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?
Mistral 7B:
Reasoning: The unicorn covers 72 miles in 12 hours. So, it covers 72/12 = <<72/12=6>>6 miles every hour. ### Answer: 6 miles per hour.
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?
Mistral 7B:
Reasoning: The unicorn's speed is tripled, so it now covers 3 * 6 = <<3*6=18>>18 miles per hour. In the enchanted hour, the unicorn covers 18 miles. ### Answer: 18 miles. utsch!
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?
Mistral 7B:
Reasoning: Sue has 3 potato plants and each plant yields 10 potatoes. So, 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?
Mistral 7B:
Reasoning: If Sue originally planted 3 potato plants and each plant produced 3 potatoes, then she would have 3*3 = <<3*3=9>>9 potatoes from her original planting. ### Answer: 9
Expected answer: 9
Correct? Yes
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?
Mistral 7B:
Reasoning: The astronaut walks for 1/5 of a day, so they cover 1/5 of the total distance they would cover in a full day. The distance covered in 1/5 of a day is (1/5) * 20 km = <<(1/5)*20=4>>4 kilometers. ### Answer: 4 kilometers.
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?
Mistral 7B:
Reasoning: The astronaut walks for 12/5 of a day, so they cover 12/5 of the total distance they would cover in a full day. The distance covered in 12/5 of a day is (12/5) * 20 km = <<(12/5)*20=48>>48 kilometers. ### Answer: 48 kilometers.
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?
Mistral 7B:
Reasoning: The astronaut walks for 1/6 of a day, so they cover 1/6 of the total distance they would cover in a full day. The distance covered in 1/6 of a day is (1/6) * 20 km = <<(1/6)*20=3.3333333333333335>>3.33 kilometers (rounded to 3 decimal places). ### Answer: 3.33 kilometers. utsch!
Expected answer: 10/3
Correct? No
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?
Mistral 7B:
Reasoning: To evenly distribute the lemons, we divide the total number of lemons by the number of boxes. Number of lemons per box = Total lemons / Number of boxes = 10 / 5 = <<10/5=2>>2 lemons. ### Answer: 2 lemons per box.
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?
Mistral 7B:
Reasoning: Mr. Lemon added 2 more lemons to each of the 5 boxes. New number of lemons per box = Initial number of lemons per box + Additional lemons = 2 + 2 = <<2+2=4>>4 lemons. ### Answer: 4 lemons per box. utsch!
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?
Mistral 7B:
Reasoning: To evenly distribute the lemons, we divide the total number of lemons by the number of boxes. Number of lemons per box = Total lemons / Number of boxes = 10 / 6 ≈ 1.67. Since we cannot have a fraction of a lemon, we round up to the nearest whole number. Number of lemons per box = 2 (from the previous question) + 1 = <<2+1=3>>3 lemons. ### Answer: 3 lemons per box. utsch!
Expected answer: 5/3
Correct? No
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?
Mistral 7B:
Reasoning: Each helicopter pad can hold 4 helicopters. 11 new helicopter pads will hold 11*4 = <<11*4=44>>44 helicopters. ### 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?
Mistral 7B:
Reasoning: Each helicopter requires one helipad to park. Since there are 44 helicopters, they will occupy 44 helipads. ### Answer: 44 utschipads will be occupied.
Expected answer: 44
Correct? Yes
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?
Mistral 7B:
Reasoning: Since the single bed takes the space of 1 large carpet tile, the number of bed spaces in John's room is equal to the number of carpet tiles that can fit side by side in his room. John's room size requires 12 such carpet tiles, so it has 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?
Mistral 7B:
Reasoning: Since each new bunk bed takes the space of 3 large carpet tiles, the number of bunk beds that can fit in John's room is equal to the number of carpet tiles that can fit side by side in his room divided by the number of carpet tiles occupied by one bunk bed. John's room size requires 12 such carpet tiles, so it can fit 12/3 = <<12/3=4>>4 bunk beds in the new layout. ### 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?
Mistral 7B:
Reasoning: Sophie plans to plant 3*8 = <<3*8=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?
Mistral 7B:
Reasoning: Sophie initially planted 24 flowers. Doubling that number gives her 24*2 = <<24*2=48>>48 flowers. ### Answer: 48 utsch!
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?
Mistral 7B:
Reasoning: Sophie would plant 3*12 = <<3*12=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?
Mistral 7B:
Reasoning: Each gift box contains 6 presents, so 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?
Mistral 7B:
Reasoning: Now Shawn has 2 gift boxes, and each box contains 6 presents, so 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?
Mistral 7B:
Reasoning: Since each assembler can build 8 robots per hour, and there are 12 hours, the total number of robots built is 8*12 = <<8*12=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?
Mistral 7B:
Reasoning: Since the assembler can now build 6 robots per hour, and there are 12 hours, the total number of robots built is 6*12 = <<6*12=72>>72 robots. ### Answer: 72 utschastok
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?
Mistral 7B:
Reasoning: Each tent has 8 poles, so there are 2*8 = <<2*8=16>>16 poles in total. Each pole has 6 strengths attached, so there are 16*6 = <<16*6=96>>96 strengths 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?
Mistral 7B:
Reasoning: Now there are 2 tents, each with 3 poles, so there are 2*3 = <<2*3=6>>6 poles in total. Each pole has 6 strings attached, so there are 6*6 = <<6*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?
Mistral 7B:
Reasoning: To find out how many filters each camera gets, we divide the total number of filters by the number of cameras. Each camera gets 10/5 = <<10/5=2>>2 filters. ### Answer: 2 filters per camera.
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?
Mistral 7B:
Reasoning: Since Jane initially gave 6 filters to each camera, she had 10*5 - 6*5 = <<10*5-6*5=10-30=-20>>-20 filters left. Since she wanted to distribute the filters equally between her 5 cameras, she would have given each camera -20/5 = <<-20/5=-4>>4 fewer filters than she intended. To find out how many filters she intended to give each camera, we add the number of filters she actually gave to each camera (6) to the number of filters she should have given (10) and then divide by the number of cameras. Each camera would have received (6+10)/5 = <<(6+10)/5=11/5=2.2>>2.2 filters initially. ### Answer: 2.2 filters per camera initially. However, since it's not possible to have a fraction of a filter, Jane would have to round up or down to distribute the filters. For example, she could give 2 filters to 3 cameras and 3 filters to the other 2 cameras.
Expected answer: 6/5
Correct? No
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?
Mistral 7B:
Reasoning: The elephant drinks 1 gallon of water per hour. Since the elephant spends 1 hour by the waterhole, it drinks 1 gallon of water. ### Answer: 1 gallon (since the elephant spends 1 hour and drinks 1 gallon of water, it means it drinks exactly 1 gallon)
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?
Mistral 7B:
Reasoning: Each gallon of water weighs approximately 1 pound. Since the elephant drank 1 gallon of water, it gained 1 pound. ### Answer: 1 pound (since the elephant drinks 1 gallon of water, which weighs 1 pound, it gains exactly 1 pound)
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?
Mistral 7B:
Reasoning: The elephant drinks 1 gallon of water per hour. Since the elephant spends 5 hours by the waterhole, it drinks 5 gallons of water. ### Answer: 5 gallons (since the elephant spends 5 hours and drinks 1 gallon of water per hour, it drinks 5 gallons of water)
Expected answer: 5
Correct? Yes
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?
Mistral 7B:
Reasoning: Since one gallon of milk can fill up 2 large containers, it takes 2 gallons to fill 4 large containers. ### Answer: 2 gallons.
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?
Mistral 7B:
Reasoning: To fill 11 containers, we need to find out how many sets of 2 containers can be filled with 1 gallon of milk. Since 1 gallon can fill 2 containers, we divide the number of containers by 2. 11 containers / 2 containers per gallon = <<11/2=5.5>>5.5 gallons Since we cannot have half a gallon of milk, we round up to the nearest whole number, which is 6 gallons. ### Answer: 6 gallons. utsch!
Expected answer: 11/2
Correct? No
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?
Mistral 7B:
Reasoning: Eddy gets 1 emerald for every gold coin he has. So, if he has 3 gold coins, he has 3 emeralds. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Eddy was very happy with his emerald collection. Seeing this, the captain decided to award him with 4 rubies for each emerald he had. How many rubies did Eddy get from the captain?
Mistral 7B:
Reasoning: Eddy had 3 emeralds, so he got 3*4 = <<3*4=12>>12 rubies from the captain. ### Answer: 12
Expected answer: 12
Correct? Yes
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?
Mistral 7B:
Reasoning: Since every 10 feet is considered a level, the dolphin reaches 20/10 = <<20/10=2>>2 levels when it jumps. ### 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?
Mistral 7B:
Reasoning: If the dolphin can increase its jump level by 11 times when aided by a strong wave, the dolphin would reach 2*11 = <<2*11=22>>22 levels when it jumps with the help of a strong wave. ### Answer: 22
Expected answer: 22
Correct? Yes
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?
Mistral 7B:
Reasoning: Since every 11 feet is considered a level, the dolphin reaches 20/11 = <<20/11≈1.8181818181818182>>1.8181818181818182 levels when it jumps in light winds. ### Answer: Approximately 1.82 (rounded to two decimal places) vessios are not supported in this format, so I'll round to the nearest whole number: 2 (rounded up)
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?
Mistral 7B:
Reasoning: To find out how many balls each friend will get, we divide the total number of balls by the number of friends. Each friend will get 28/7 = <<28/7=4.0>>4 balls (approximately). Since Jill cannot split balls, she will have to give each friend 4 balls and keep the remaining 2 balls for herself. ### Answer: Each friend gets 4 balls, and Jill keeps 2 balls.
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?
Mistral 7B:
Reasoning: To find out how many balls each friend will get, we divide the total number of balls by the number of friends. If Jill divided the 28 balls equally among 10 friends, each friend would get 28/10 = <<28/10=2.8>>2.8 balls (approximately). Since Jill cannot split balls, she will have to give each friend 2 balls and keep the remaining 8 balls for herself. ### Answer: Each friend gets 2 balls, and Jill keeps 8 balls.
Expected answer: 14/5
Correct? No
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?
Mistral 7B:
Reasoning: Since each machine can manufacture the same number of robots as there are machines, and there are 8 machines, each machine can manufacture 8 robots per day. Therefore, the entire factory can produce 8*8 = <<8*8=64>>64 robots in one day. ### 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?
Mistral 7B:
Reasoning: With 7 machines, each machine can manufacture 7 robots per day. Therefore, the factory can produce 7*7 = <<7*7=49>>49 robots in a day. ### 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?
Mistral 7B:
Reasoning: To find the number of segments, we divide the total length of the line segment by the length of each segment. Number of segments = Total length / Length of each segment Number of segments = 15 cm / 5 cm = <<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?
Mistral 7B:
Reasoning: To find the number of segments, we divide the total length of the line segment by the length of each segment. Number of segments = Total length / Length of each segment Number of segments = 15 cm / 7 cm = <<15/7=2.1428571428571428>>2.1428571428571428 (approximately) Since it is not possible to have a fraction of a segment, Maya would have to round the number of segments to the nearest whole number. ### Answer: 2 (approximately) 2 segments (rounded)
Expected answer: 15/7
Correct? No
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?
Mistral 7B:
Tommy has 5*5 = <<5*5=25>>25 types of cheese for his cheese platter. ### 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?
Mistral 7B:
Tommy would have 7*5 = <<7*5=35>>35 types of cheese for his cheese platter. ### 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?
Mistral 7B:
Reasoning: The width of the river increases by 10 feet each year. So, after 9 years, the increase in the width of the river is 10*9 = <<10*9=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?
Mistral 7B:
Reasoning: The width of the river increases by 10 feet every 3 years. So, after 9 years, the number of 3-year intervals is 9/3 = <<9/3=3>>3. Since the river's width increases by 10 feet in each 3-year interval, the total increase in the river's width after 9 years is 10*3 = <<10*3=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?
Mistral 7B:
Reasoning: Since Jessica groups her stuffed animals in sets of 4, we can divide the total number of stuffed animals by the number of animals per group to find the number of groups. 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?
Mistral 7B:
Reasoning: Since Jessica groups her stuffed animals in sets of 4, we can divide the total number of stuffed animals by the number of animals per group to find the number of groups. 9 / 4 = <<9/4=2.25>>2.25 groups. However, since we cannot have a fraction of a group, we round down to the nearest whole number. ### Answer: 2
Expected answer: 9/4
Correct? No
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?
Mistral 7B:
Reasoning: The total length of the drums when put side by side is equal to the sum of the lengths of each drum. Total length = Length of one drum * Number of drums Total length = 8 inches * 5 drums = <<8*5=40>>40 inches ### Answer: 40 inches
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?
Mistral 7B:
Reasoning: The total length of the two rows of drums when placed side by side is equal to the sum of the lengths of both rows. Total length = Length of one row * Number of rows Total length = (Length of one drum * Number of drums) * Number of rows Total length = (8 inches * 5 drums) * 2 rows = 40 inches * 2 rows = <<40*2=80>>80 inches ### Answer: 80 inches utsch!
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?
Mistral 7B:
Reasoning: The total length of the drums when put side by side is equal to the sum of the lengths of each drum. Total length = Length of one drum * Number of drums Total length = 11 inches * 5 drums = <<11*5=55>>55 inches ### Answer: 55 inches utsch!
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?
Mistral 7B:
Reasoning: Jack has 5 apples and wants to trade them for oranges. He multiplies the number of apples by 6 to get the number of oranges. 5 * 6 = <<5*6=30>>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?
Mistral 7B:
Reasoning: Jack has 12 apples and wants to trade them for oranges. He multiplies the number of apples by 6 to get the number of oranges. 12 * 6 = <<12*6=72>>72 oranges. ### Answer: 72 utsch! 72 oranges.
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?
Mistral 7B:
Reasoning: Since there are 6 different colors, and each set contains 12 marker pens (72/6), there are 6 sets of different colors in the pack. ### Answer: 6
Expected answer: 12
Correct? No
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?
Mistral 7B:
Reasoning: To find the number of pieces of gold in each pile, we divide the total number of gold pieces by the number of piles. 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?
Mistral 7B:
Reasoning: We know that there are 10 gold pieces in each pile, so the total number of gold pieces is 8*10 = <<8*10=80>>80. The special treasure trove contains 4 times the number of gold pieces in each pile, so it contains 4*10 = <<4*10=40>>40 gold pieces. ### 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?
Mistral 7B:
Reasoning: To find the number of pieces of gold in each pile, we divide the total number of gold pieces by the number of piles. 80/11 = <<80/11=7.272727272727273>>7 (approximately) pieces of gold in each pile. Since the dragon cannot divide the gold into 11 piles with an exact number of pieces in each pile, we cannot provide a whole number answer for this scenario. ### Answer: The dragon cannot divide the gold into 11 piles with an exact number of pieces in each pile.
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?
Mistral 7B:
Reasoning: Each section can accommodate 12 campers, so the total number of campers that can camp is 11 * 12 = <<11*12=132>>132 campers. ### Answer: 132
Expected answer: 48
Correct? No
Problem: A tiger can travel 6 miles in an hour. How far can it travel in 3 hours?
Mistral 7B:
Reasoning: The tiger can travel 6 miles in 1 hour, so it can travel 6*3 = <<6*3=18>>18 miles in 3 hours. ### Answer: 18 miles.
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?
Mistral 7B:
Reasoning: If the tiger can travel 7 times as far in an hour, it can travel 7*6 = <<7*6=42>>42 miles in an hour. ### Answer: 42 miles. utsch!
Expected answer: 42
Correct? Yes
Problem: A number sets of 6 are multiplied by 7. What is the resulting product?
Mistral 7B:
Reasoning: The number of sets is multiplied by the number of items in each set, and then by the multiplier. So, the product is (number of sets) * (items per set) * (multiplier). The number of items in one set is 6, and the multiplier is 7. The product is (number of sets) * 6 * 7. ### Answer: The product depends on the number of sets.
Expected answer: 42
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?
Mistral 7B:
The doctor works 6*2 = <<6*2=12>>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?
Mistral 7B:
The doctor works 11 hours a day for 2 days, so he works 11*2 = <<11*2=22>>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?
Mistral 7B:
Reasoning: The farmer plants 6 seeds in each of the 11 rows, so he plants 6*11 = <<6*11=66>>66 seeds in total. ### 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?
Mistral 7B:
Reasoning: The baby is 10 months old, so Mommy bought 10*5 = <<10*5=50>>50 toys in total. ### Answer: 50
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?
Mistral 7B:
Reasoning: Mommy bought 9*5 = <<9*5=45>>45 toys during the 9 months when she bought 5 toys per month. ### Answer: 45
Expected answer: 45
Correct? Yes