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?
Llama 3 70B:
Reasoning: Since John has 12 tables, and each table requires 8 chairs, we can multiply the number of tables by the number of chairs per table to find the total number of chairs needed. 12 tables x 8 chairs/table = 12 x 8 = 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?
Llama 3 70B:
Reasoning: Since John has 2 tables, and each table requires 8 chairs, we can multiply the number of tables by the number of chairs per table to find the total number of chairs needed. 2 tables x 8 chairs/table = 2 x 8 = 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?
Llama 3 70B:
Reasoning: There are 4 fairies per house and 3 houses in a cluster, so there are 4 x 3 = 12 fairies in a cluster. Each fairy creates 5 magic dust particles a day, so the total number of magic dust particles created in one day by all the fairies in a cluster is 12 x 5 = 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?
Llama 3 70B:
Reasoning: We already know that 60 magic dust particles are created in one day by all the fairies in a cluster. Since each magic dust particle lasts for 1 whole week, the total number of magic dust particles available in a cluster of houses after a week is the number of particles created in one day multiplied by 7 (days in a week). So, the total number of magic dust particles available in a cluster of houses after a week is 60 x 7 = 420. ### Answer: 420
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?
Llama 3 70B:
Reasoning: There are 4 fairies per house and 3 houses in a cluster, so there are 4 x 3 = 12 fairies in a cluster. Each fairy creates 8 magic dust particles a day, so the total number of magic dust particles created in one day by all the fairies in a cluster is 12 x 8 = 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?
Llama 3 70B:
Reasoning: Since Harry has 9 sets of building blocks, and each set contains 7 blocks, we can multiply the number of sets by the number of blocks in each set to find the total number of blocks. 9 sets x 7 blocks/set = 9 x 7 = 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?
Llama 3 70B:
Reasoning: Since there are 12 peacocks in every enclosure, and there are 4 enclosures, we can multiply the number of peacocks per enclosure by the number of enclosures to find the total number of peacocks. 12 peacocks/enclosure ร 4 enclosures = 12 ร 4 = 48 peacocks ### 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?
Llama 3 70B:
Reasoning: Since there are 12 peacocks in every enclosure, and there are 7 enclosures, we can multiply the number of peacocks per enclosure by the number of enclosures to find the total number of peacocks. 12 peacocks/enclosure ร 7 enclosures = 12 ร 7 = 84 peacocks ### 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?
Llama 3 70B:
Reasoning: Since each jungle gym can accommodate 12 children at a time, we can divide the total number of children (24) by the number of children each jungle gym can hold (12) to find the number of turns needed. 24 รท 12 = 2 So, the children must take 2 turns 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?
Llama 3 70B:
Reasoning: Since each jungle gym can now accommodate 2 children at a time, we can divide the total number of children (24) by the number of children each jungle gym can hold (2) to find the number of turns needed. 24 รท 2 = 12 So, the children must take 12 turns so that 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?
Llama 3 70B:
Reasoning: The farmer already had 7 chicks. To find out how many chicks the farmer brought, we need to multiply 7 by 9. 7 x 9 = 63 ### 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?
Llama 3 70B:
Reasoning: The farmer initially had 7 groups of chicks, with each group consisting of 1 chick. So, he had 7 chicks. If he started with 4 times that amount, we need to multiply 7 by 4. 7 x 4 = 28 ### 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?
Llama 3 70B:
Since Mr. Hansen likes to keep ten copies of each handout, and he is preparing a new handout, he will make 10 copies of the new handout. ### Answer: 10
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?
Llama 3 70B:
Since Mr. Hansen decided to make only four copies of each handout, and he is preparing a new handout, he will make 4 copies of the new handout. ### Answer: 4
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?
Llama 3 70B:
Reasoning: The snowman's hat is 5 inches tall. The snowman himself, without his hat, is 4 times as tall as his hat. So, the snowman's height without his hat is 5 x 4 = 20 inches. ### Answer: 20 inches.
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?
Llama 3 70B:
Reasoning: The snowman's hat is 2 inches tall. The snowman himself, without his hat, is 4 times as tall as his hat. So, the snowman's height without his hat is 2 x 4 = 8 inches. ### Answer: 8 inches.
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?
Llama 3 70B:
Reasoning: To find out how many diamonds each character gets, we need to divide the total number of diamonds (45) by the number of characters (9). 45 รท 9 = 5 So 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?
Llama 3 70B:
Reasoning: To find out how many diamonds each character gets, we need to divide the total number of diamonds (12) by the number of characters (9). 12 รท 9 = 1 with a remainder of 3 Since we can't divide diamonds into fractions, each character would get 1 diamond, and there would be 3 diamonds left over. ### Answer: 1
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?
Llama 3 70B:
Reasoning: Jim has 12 guitar picks and he divided them equally among his 12 bandmates. To find out how many guitar picks each bandmate got, we can divide the total number of guitar picks (12) by the number of bandmates (12). 12 รท 12 = 1 So each bandmate got 1 guitar 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?
Llama 3 70B:
Reasoning: Each bandmate initially received 1 guitar pick. The package contains 11 more sets of guitar picks, each set having the same number of picks as each bandmate initially received, which is 1. So, the total number of guitar picks in the package is: 11 sets x 1 pick/set = 11 picks ### 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?
Llama 3 70B:
Reasoning: Jim has 12 guitar picks and he divided them equally among his 6 bandmates. To find out how many guitar picks each bandmate got, we can divide the total number of guitar picks (12) by the number of bandmates (6). 12 รท 6 = 2 So each bandmate got 2 guitar picks. ### 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?
Llama 3 70B:
Reasoning: Suzie has 5 aquariums, and each aquarium has 12 fish. To find the total number of fish, we can multiply the number of aquariums by the number of fish in each aquarium: 5 x 12 = 60. ### 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?
Llama 3 70B:
Reasoning: Suzie initially had 4 aquariums, and each aquarium had 12 fish. To find the total number of fish, we can multiply the number of aquariums by the number of fish in each aquarium: 4 x 12 = 48. ### 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?
Llama 3 70B:
Reasoning: The problem states that the treasure chest is buried at a spot marked by 2 stones multiplied by 9. This means we need to multiply 2 by 9 to find the total number of stones. 2 ร 9 = 18 So, the treasure chest is buried at a spot marked by 18 stones. ### 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?
Llama 3 70B:
Reasoning: The problem states that the treasure chest is buried at a spot marked by 3 stones multiplied by 9. This means we need to multiply 3 by 9 to find the total number of stones. 3 ร 9 = 27 So, the treasure chest is buried at a spot marked by 27 stones. ### 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?
Llama 3 70B:
Reasoning: Since the butterfly lays eggs in batches of 6, and she lays 4 batches, we can multiply the number of batches by the number of eggs per batch to find the total number of eggs. 4 batches x 6 eggs/batch = 4 x 6 = 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?
Llama 3 70B:
Reasoning: Since the butterfly lays eggs in batches of 4, and she lays 4 batches, we can multiply the number of batches by the number of eggs per batch to find the total number of eggs. 4 batches x 4 eggs/batch = 4 x 4 = 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?
Llama 3 70B:
Reasoning: To find out how many pillows Anna can stuff, we need to divide the total number of feathers she has (54) by the number of feathers each pillow needs (9). 54 รท 9 = 6 So, Anna can stuff 6 pillows with the feathers she has. ### 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?
Llama 3 70B:
Reasoning: We already know that Anna can stuff 6 pillows with the 54 feathers. Now, each of these 6 pillows needs to be sewn with 8 buttons. To find the total number of buttons Anna needs, we multiply the number of pillows by the number of buttons per pillow: 6 pillows ร 8 buttons/pillow = 6 ร 8 = 48 buttons So, Anna will need 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?
Llama 3 70B:
Reasoning: Since Tom has 1 strawberry plant, and each plant can produce 9 strawberries, we can multiply the number of plants by the number of strawberries each plant can produce. 1 plant x 9 strawberries/plant = 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?
Llama 3 70B:
Reasoning: Since Tom now has 5 strawberry plants, and each plant can produce 9 strawberries, we can multiply the number of plants by the number of strawberries each plant can produce. 5 plants x 9 strawberries/plant = 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?
Llama 3 70B:
Reasoning: Let's say there are x rooms in the mansion. Since each room has 8 fireplaces, the total number of fireplaces is 8x. We know that the total number of fireplaces is 96, so we can set up the equation 8x = 96. To solve for x, we can divide both sides of the equation by 8, which gives us x = 96/8 = 12. ### 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?
Llama 3 70B:
Reasoning: We already know that there are 12 rooms in the mansion. Since each room requires 7 workers to clean all the fireplaces, the total number of workers needed is 12 x 7 = 84. ### 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?
Llama 3 70B:
Reasoning: Since John's truck can only hold 5 boxes at a time, he can transport 5 boxes in one trip. To find out how many trips he needs to make, we can divide the total number of boxes (10) by the number of boxes he can transport in one trip (5). 10 รท 5 = 2 So, John needs to make 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?
Llama 3 70B:
Reasoning: We already know that John needs to make 2 trips to transport all the boxes. Since each trip is a round trip, he will make a total of 2 round trips. Each round trip consumes 6 liters of fuel, so we can multiply the number of round trips by the fuel consumption per trip: 2 round trips ร 6 liters/round trip = 12 liters So, John has used 12 liters of fuel to make all of his trips. ### 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?
Llama 3 70B:
Reasoning: To find the number of toy cars in each box, we need to divide the total number of toy cars (63) by the number of boxes (9). 63 รท 9 = 7 So, there will be 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?
Llama 3 70B:
Reasoning: To find the number of toy cars in each box, we need to divide the total number of toy cars (63) by the number of boxes (5). 63 รท 5 = 12.6 Since we can't have a fraction of a toy car, we can round down to 12 toy cars in each box, with 3 toy cars left over. However, if we want to distribute the toy cars evenly, we can say that each box will have 12 toy cars, and 3 boxes will have an extra toy car. ### Answer: 12 (with 3 boxes having an extra 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?
Llama 3 70B:
Reasoning: To find the number of coops needed, we can divide the total number of hens (24) by the number of hens each coop can hold (12). 24 รท 12 = 2 So, 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?
Llama 3 70B:
Reasoning: To find the number of coops needed, we can divide the total number of hens (24) by the number of hens each coop can hold (8). 24 รท 8 = 3 So, 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?
Llama 3 70B:
Reasoning: This question is asking for the number of postcards in each envelope, and the problem states that 3 large postcards are placed in 1 envelope. Therefore, the answer is simply 3. ### 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?
Llama 3 70B:
Reasoning: Since 3 large postcards are placed in 1 envelope, and Macy distributed 6 envelopes, we can multiply the number of postcards per envelope by the number of envelopes to find the total number of postcards. 3 postcards/envelope ร 6 envelopes = 3 ร 6 = 18 postcards ### 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?
Llama 3 70B:
Reasoning: The problem states that Macy now puts only 2 large postcards in each envelope. Therefore, the answer is simply 2. ### 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?
Llama 3 70B:
Reasoning: Tommy took 12 sleeping bags from the storage, but he needs twice as many, so he needs 12 x 2 = 24 more sleeping bags. In total, Tommy needs 12 + 24 = 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?
Llama 3 70B:
Reasoning: Tina earns 3 points per level, and she completes 5 levels. To find the total points, we can multiply the points per level by the number of levels: 3 points/level ร 5 levels = 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?
Llama 3 70B:
Reasoning: Tina has 15 points and the conversion rate is 1 coin per point. To find the number of game coins, we can multiply the number of points by the conversion rate: 15 points ร 1 coin/point = 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?
Llama 3 70B:
Reasoning: Tim needs 4 points to advance to the next level, and there are 9 levels in total. To finish the game, Tim needs to advance 9 - 1 = 8 levels (since he's already at level 1). Therefore, Tim needs 4 points/level ร 8 levels = 32 points to finish the game. ### Answer: 32
Expected answer: 36
Correct? No
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?
Llama 3 70B:
Reasoning: The machine blows bubbles at a rate of 2 bubbles per second, so in one second, it will blow 2 bubbles. ### 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?
Llama 3 70B:
Reasoning: The machine blows bubbles at a rate of 2 bubbles per second, and it runs for 9 more seconds. To find the total number of bubbles blown, we multiply the rate by the time: 2 bubbles/second ร 9 seconds = 2 ร 9 = 18 bubbles. ### Answer: 18
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?
Llama 3 70B:
Reasoning: The machine now blows bubbles at a rate of 7 bubbles per second, so in one second, it will blow 7 bubbles. ### 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?
Llama 3 70B:
Reasoning: Since each cow gives 12 liters of milk, and Farmer Mike has 6 cows, we can multiply the number of cows by the amount of milk each cow gives to find the total amount of milk. 6 cows x 12 liters/cow = 6 x 12 = 72 liters ### Answer: 72 liters
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?
Llama 3 70B:
Reasoning: Since each cow still gives 12 liters of milk, and Farmer Mike now has 7 cows, we can multiply the new number of cows by the amount of milk each cow gives to find the total amount of milk. 7 cows x 12 liters/cow = 7 x 12 = 84 liters ### Answer: 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?
Llama 3 70B:
Reasoning: If John divides his 9 sunglasses into equal parts, and each part contains 9 sunglasses, then he would get only 1 part because 9 รท 9 = 1. ### 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?
Llama 3 70B:
Reasoning: If John divides his 9 sunglasses into groups of 1, then each group would contain 9 รท 1 = 9 sunglasses. However, this means he would have 9 groups, each containing 1 sunglasses. ### Answer: 1
Expected answer: 9
Correct? No
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?
Llama 3 70B:
Reasoning: The rocket uses 9 units of fuel per second. To find the total fuel consumption, we need to multiply the fuel consumption per second by the number of seconds the rocket has been flying. Fuel consumption = Fuel per second ร Number of seconds = 9 units/second ร 11 seconds = 9 ร 11 = 99 units ### Answer: 99 units
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?
Llama 3 70B:
Reasoning: Since there are 4 swings, and each swing can seat 3 children, we can multiply the number of swings by the number of children each swing can seat to find the total number of children that can be seated. 4 swings x 3 children/swing = 4 x 3 = 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?
Llama 3 70B:
Reasoning: Since there is only 1 swing, and it can seat 3 children, we can simply multiply the number of swings by the number of children each swing can seat to find the total number of children that can be seated. 1 swing x 3 children/swing = 1 x 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?
Llama 3 70B:
Let's break it down step by step: Initially, there are 3 magical fairies. Each fairy has the ability to create triplets of herself, which means each fairy will create 3 additional copies of herself. So, the first fairy will create 3 more fairies, making a total of 3 + 1 = 4 fairies. The second fairy will also create 3 more fairies, making a total of 4 + 3 = 7 fairies. The third fairy will create 3 more fairies, making a total of 7 + 3 = 10 fairies. Therefore, after each of the 3 fairies uses their ability, there will be a total of 10 fairies in Fairyland. ### Answer: 10
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?
Llama 3 70B:
Reasoning: James mentioned the word "love" 4 times in each verse. Since the song has 3 verses, he mentioned the word "love" a total of 4 x 3 = 12 times. ### 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?
Llama 3 70B:
Reasoning: In each performance, James sings the song once, and the word "love" is mentioned 12 times in the song. Since he will perform 4 times, the word "love" will be mentioned a total of 12 x 4 = 48 times. ### 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?
Llama 3 70B:
Reasoning: James mentioned the word "love" 4 times in each verse. Since the song now has 10 verses, he mentioned the word "love" a total of 4 x 10 = 40 times. ### 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?
Llama 3 70B:
Reasoning: To find the number of folders Mark needs, we can divide the total number of apps (48) by the number of apps that can fit in each folder (8). 48 รท 8 = 6 So, Mark needs 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?
Llama 3 70B:
Reasoning: To find the number of folders Mark needs, we can divide the total number of apps (48) by the new number of apps that can fit in each folder (6). 48 รท 6 = 8 So, Mark will need 8 folders to store all of his 48 apps. ### 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?
Llama 3 70B:
Reasoning: Johnny wants to give 12 candies to each of his 3 friends. To find the total number of candies he needs, we can multiply the number of friends by the number of candies each friend gets: 3 friends x 12 candies/friend = 3 x 12 = 36 candies. ### 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?
Llama 3 70B:
Reasoning: Johnny gave 36 candies to his friends the previous day. To double the amount, we can multiply the number of candies by 2: 36 candies x 2 = 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?
Llama 3 70B:
Reasoning: Tommy has 10 cars in total and he races 5 cars at a time. To find out how many turns it takes for him to race all his cars, we can divide the total number of cars by the number of cars he races at a time. 10 รท 5 = 2 So, it takes Tommy 2 turns to race all his 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?
Llama 3 70B:
Reasoning: We already know that it takes Tommy 2 turns to race all his cars in one round. Since he wants to perform 8 rounds of races, we can multiply the number of turns per round by the number of rounds to find the total number of turns. 2 turns/round ร 8 rounds = 2 ร 8 = 16 turns So, Tommy will need 16 turns in total to complete all 8 rounds of races. ### 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?
Llama 3 70B:
Reasoning: To find the number of groups, we need to divide the total number of feathers (40) by the number of feathers in each group (10). 40 รท 10 = 4 So, Sally would have 4 groups of feathers. ### 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?
Llama 3 70B:
Reasoning: We already know that Sally had 4 groups of feathers when she sorted them into groups of 10. To double the number of groups, we multiply the original number of groups by 2: 4 ร 2 = 8 So, Sally now has 8 groups of feathers. ### 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?
Llama 3 70B:
Reasoning: To find the number of groups, we need to divide the total number of feathers (40) by the number of feathers in each group (11). 40 รท 11 = 3 with a remainder of 7 Since we can't have a fraction of a group, Sally has 3 complete groups and 7 feathers left over. ### 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?
Llama 3 70B:
Reasoning: Fairy Lily's original height is 1 inch. When she uses her magical fairy dust, she becomes 11 times her original size, so we multiply her original height by 11: 1 inch ร 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?
Llama 3 70B:
Reasoning: Fairy Lily's height after using the magical dust is 11 inches. She then casts a spell that multiplies her height by 7, so we multiply her current height by 7: 11 inches ร 7 = 77 inches. ### Answer: 77 inches.
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?
Llama 3 70B:
Reasoning: Fairy Lily's original height is 1 inch. When she uses her magical fairy dust, she becomes 6 times her original size, so we multiply her original height by 6: 1 inch ร 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?
Llama 3 70B:
Reasoning: The problem states that one female bee can produce 5 new bees every day. Therefore, the number of bees she would produce in 1 day is 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?
Llama 3 70B:
Reasoning: Since the female bee produces 5 new bees every day, we can multiply the number of days by the number of bees produced per day to find the total number of bees produced. Total bees produced = Number of days ร Bees produced per day = 11 ร 5 = 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?
Llama 3 70B:
Reasoning: If the female bee produces 5 bees every 3 days, we need to find out how many bees she produces in 1 day. To do this, we can divide 5 bees by 3 days to get the rate of bee production per day. 5 bees รท 3 days = 5/3 bees per day To simplify this fraction, we can divide both numerator and denominator by their greatest common divisor, which is 1. 5/3 = 1 2/3 bees per day So, the female bee would produce 1 2/3 bees in one day at this new rate. ### Answer: 1 2/3
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?
Llama 3 70B:
Reasoning: To find out how many sheets each book will have, we need to divide the total number of sheets (35) by the number of books (7). 35 รท 7 = 5 So, each piano book will have 5 sheets. ### 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?
Llama 3 70B:
Reasoning: Thomas already has 7 books with 5 sheets each, and he wants to buy 8 more books with the same number of sheets. To find out how many sheets he will buy, we multiply the number of new books (8) by the number of sheets per book (5). 8 ร 5 = 40 So, Thomas will buy 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?
Llama 3 70B:
Reasoning: To find out how many sheets each book will have, we need to divide the total number of sheets (9) by the number of books (7). 9 รท 7 = 1 with a remainder of 2 Since we can't divide the remaining 2 sheets evenly among the 7 books, each book will have 1 sheet, and 2 sheets will be left over. ### Answer: 1
Expected answer: 9/7
Correct? No
Problem: Mom baked 2 batches of cookies. Each batch contains 8 cookies. How many cookies did mom bake in total?
Llama 3 70B:
Reasoning: Since there are 2 batches, and each batch has 8 cookies, we can multiply the number of batches by the number of cookies per batch to find the total number of cookies. This gives us 2 x 8 = 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?
Llama 3 70B:
Reasoning: Since Earth has 3 natural satellites, and the number of moon rocks collected each year is triple the total number of these satellites, we can multiply 3 by 3 to find the number of moon rocks collected in one year. 3 x 3 = 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?
Llama 3 70B:
Reasoning: Since we already know that 9 moon rocks are collected in one year, and each moon rock is stored in a separate storage bin, we can conclude that the number of storage bins needed is equal to the number of moon rocks collected. 9 moon rocks = 9 storage bins ### 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?
Llama 3 70B:
Reasoning: Since the Earth has 5 natural satellites in this scenario, and the number of moon rocks collected each year is triple the total number of these satellites, we can multiply 5 by 3 to find the number of moon rocks collected in one year. 5 x 3 = 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?
Llama 3 70B:
Reasoning: Doctor Thomas spends 5 minutes with each patient, and he has 10 patients to visit. To find the total time he spends with all his patients, we can multiply the time spent with each patient by the number of patients: 5 minutes/patient ร 10 patients = 5 ร 10 = 50 minutes. ### 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?
Llama 3 70B:
Reasoning: Doctor Thomas spent 50 minutes with his patients. He spends twice that amount of time on paperwork, so we can multiply the time spent with patients by 2: 50 minutes ร 2 = 100 minutes. ### 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?
Llama 3 70B:
Reasoning: Doctor Thomas spends 6 minutes with each patient, and he has 10 patients to visit. To find the total time he spends with all his patients, we can multiply the time spent with each patient by the number of patients: 6 minutes/patient ร 10 patients = 6 ร 10 = 60 minutes. ### 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?
Llama 3 70B:
Reasoning: First, we need to find the price of each pant. Since 11 pants cost $55, we can divide $55 by 11 to get the price of one pant: $55 รท 11 = $5 per pant. Now, Jerry wants to buy 12 pants. To find the total cost, we multiply the price of one pant by 12: $5 ร 12 = $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?
Llama 3 70B:
Reasoning: Molly has 8 bottles of apple juice initially. She multiplies her collection by 8, which means she now has 8 ร 8 = 64 bottles of apple juice. ### 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?
Llama 3 70B:
Reasoning: Molly reduced her collection to 6 bottles. Then, she multiplied her collection by 6, which means she now has 6 ร 6 = 36 bottles of apple juice. ### 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?
Llama 3 70B:
Reasoning: If the section is divided into 8 equal parts and there are 32 craters in total, we can find the number of craters in each part by dividing the total number of craters by the number of parts. 32 รท 8 = 4 So, there are 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?
Llama 3 70B:
Reasoning: If the section is divided into 5 equal parts and there are 32 craters in total, we can find the number of craters in each part by dividing the total number of craters by the number of parts. 32 รท 5 = 6.4 Since we can't have a fraction of a crater, we can round down to the nearest whole number. However, this would mean that we're not accounting for all 32 craters. Instead, we can say that there are 6 craters in each part, with 2 craters remaining that are not evenly distributed among the 5 parts. ### Answer: 6
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?
Llama 3 70B:
Reasoning: Since there are 4 monkeys, and each monkey has 7 bananas, we can multiply the number of monkeys by the number of bananas each monkey has to find the total number of bananas. 4 monkeys x 7 bananas/monkey = 4 x 7 = 28 bananas ### 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?
Llama 3 70B:
Reasoning: Since there are 9 monkeys, and each monkey has 7 bananas, we can multiply the number of monkeys by the number of bananas each monkey has to find the total number of bananas. 9 monkeys x 7 bananas/monkey = 9 x 7 = 63 bananas ### 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?
Llama 3 70B:
Reasoning: To find the number of pieces of cheese, we need to divide the total weight of the cheese (32 ounces) by the weight of each piece (4 ounces). We can do this by dividing 32 by 4: 32 รท 4 = 8 So, Fiona will have 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?
Llama 3 70B:
Reasoning: To find the number of pieces of cheese, we need to divide the total weight of the cheese (32 ounces) by the weight of each piece (9 ounces). We can do this by dividing 32 by 9: 32 รท 9 = 3 with a remainder of 5 Since we can't have a fraction of a piece of cheese, we'll ignore the remainder. So, Fiona will get 3 pieces of cheese from this block. ### Answer: 3
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?
Llama 3 70B:
Reasoning: Bob has 6 cups and he wants to fill each cup with 1 glass of milk. Therefore, he 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?
Llama 3 70B:
Reasoning: Bob has 2 cups and he wants to fill each cup with 1 glass of milk. Therefore, he 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?
Llama 3 70B:
Reasoning: Since there are 36 rabbits divided evenly into 9 cages, each cage has 36/9 = 4 rabbits. Since each cage is assigned to 2 caretakers, the number of caretakers per cage is 2. ### Answer: 2
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?
Llama 3 70B:
Reasoning: To find out how many whole wheels of cheese Farmer Brown can make, we need to divide the total number of blocks he has (42) by the number of blocks required to make one wheel (7). 42 รท 7 = 6 So, Farmer Brown can make 6 whole wheels of cheese with the current blocks he has. ### 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?
Llama 3 70B:
Reasoning: Farmer Brown currently has 6 wheels of cheese. To double his production, he will make an additional 6 wheels, making a total of: 6 (current wheels) + 6 (additional wheels) = 12 So, after doubling his output, Farmer Brown will have 12 wheels of cheese for the village fair. ### 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?
Llama 3 70B:
Reasoning: Since the kite is a square, all sides are equal. Each side is 4 feet long. To find the total length of two sides, we simply add the lengths of two sides: 4 + 4 = 8. ### 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?
Llama 3 70B:
Reasoning: We already know that the total length of two sides of one kite is 8 feet. Since John wants to make another identical kite, he will need the same amount of string for the two sides of the second kite, which is also 8 feet. To find the total amount of string needed, we add the amounts needed for both kites: 8 + 8 = 16. ### 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?
Llama 3 70B:
Reasoning: Since the kite is a square, all sides are equal. Each side is 1 foot long. To find the total length of two sides, we simply add the lengths of two sides: 1 + 1 = 2. ### 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?
Llama 3 70B:
Reasoning: Anna has 4 bags of candy, and each bag contains 3 candies. To find the total number of candies, we can multiply the number of bags by the number of candies in each bag: 4 x 3 = 12. ### 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?
Llama 3 70B:
Reasoning: Anna has 1 bag of candy, and each bag contains 3 candies. To find the total number of candies, we can multiply the number of bags by the number of candies in each bag: 1 x 3 = 3. ### 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?
Llama 3 70B:
Reasoning: Since each patch attracts 3 butterflies, and there are 6 patches, we can multiply the number of patches by the number of butterflies each patch attracts to find the total number of butterflies. 6 patches x 3 butterflies/patch = 6 x 3 = 18 butterflies ### 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?
Llama 3 70B:
Reasoning: Since each patch attracts 3 butterflies, and there are 8 patches, we can multiply the number of patches by the number of butterflies each patch attracts to find the total number of butterflies. 8 patches x 3 butterflies/patch = 8 x 3 = 24 butterflies ### 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?
Llama 3 70B:
Reasoning: Sophia initially wants to divide 72 cookies among 8 friends, so each friend will get 72 รท 8 = 9 cookies. Then, she decides to gift each friend 5 times the amount they initially received, which is 5 ร 9 = 45 cookies. So, each friend will get a total of 9 + 45 = 54 cookies. ### Answer: 54
Expected answer: 45
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?
Llama 3 70B:
Reasoning: Each camera can take 1 picture per second, so in 5 seconds, each camera can take 5 pictures. Since John has 3 cameras, the total number of pictures taken is 3 x 5 = 15. ### 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?
Llama 3 70B:
Reasoning: Since Tommy has 3 boxes of toys, and each box contains 9 toys, we can multiply the number of boxes by the number of toys in each box to find the total number of toys. 3 boxes x 9 toys/box = 3 x 9 = 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?
Llama 3 70B:
Reasoning: Since Tommy has 10 boxes of toys, and each box contains 9 toys, we can multiply the number of boxes by the number of toys in each box to find the total number of toys. 10 boxes x 9 toys/box = 10 x 9 = 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?
Llama 3 70B:
Reasoning: Joanna packs 10 shirts into 5 boxes. To find out how many shirts each box contains, we need to divide the total number of shirts (10) by the number of boxes (5). 10 รท 5 = 2 So, each box contains 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?
Llama 3 70B:
Reasoning: Joanna has 7 shirts and wants to distribute them evenly into 5 boxes. To find out how many shirts each box will contain, we need to divide the total number of shirts (7) by the number of boxes (5). 7 รท 5 = 1 with a remainder of 2 Since we can't divide shirts into fractions, each box will contain 1 shirt, and there will be 2 shirts left over that won't fit into any box. ### Answer: 1
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?
Llama 3 70B:
Reasoning: If Harry gave Jack seven times as many scooters as Jack already had, that means Harry gave Jack 9 x 7 = 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?
Llama 3 70B:
Reasoning: If Harry gives Jack seven times as many scooters as Jack initially had, and Jack initially had 6 scooters, then Harry would give Jack 6 x 7 = 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?
Llama 3 70B:
Reasoning: Each hour has 4 quarters, and there are 7 hours on a clock, so there are 7 x 4 = 28 quarters on one clock. Since we want to find the number of quarters on three clocks, we multiply 28 by 3: 28 x 3 = 84. ### 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?
Llama 3 70B:
Reasoning: To find out how many scoops of ice cream each cone gets, we need to divide the total number of scoops (35) by the number of cones (5). 35 รท 5 = 7 So, each cone gets 7 scoops of ice cream. ### 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?
Llama 3 70B:
Reasoning: To find out how many scoops of ice cream each cone gets, we need to divide the total number of scoops (8) by the number of cones (5). 8 รท 5 = 1 with a remainder of 3 Since we can't divide the remaining 3 scoops equally among the 5 cones, each cone will get 1 scoop of ice cream, and there will be 3 scoops left over. ### 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?
Llama 3 70B:
Reasoning: Billy originally had 8 toy trains. He got 9 times more trains than he originally had, so he got 8 x 9 = 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?
Llama 3 70B:
Reasoning: Billy originally had 8 toy trains. He got 8 times more trains than he originally had, so he got 8 x 8 = 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)?
Llama 3 70B:
Reasoning: Since the arrangement is square, the number of rows is equal to the number of books in a row, which is 8. So, the total number of books is the number of rows multiplied by the number of books in a row, which is 8 ร 8 = 64. ### 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?
Llama 3 70B:
Reasoning: Since the arrangement is square, the number of rows is equal to the number of books in a row, which is 4. So, the total number of books is the number of rows multiplied by the number of books in a row, which is 4 ร 4 = 16. ### 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?
Llama 3 70B:
Reasoning: Since it takes 1 yard of fabric to make a skirt, Lisa can make one skirt for every yard of fabric she has. Since Lisa has 10 yards of fabric, she 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?
Llama 3 70B:
Reasoning: Sarah receives 12 phone calls every day. She answers a quarter of those phone calls, which means she answers 12 ร (1/4) = 12 ร 0.25 = 3 phone calls. ### 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?
Llama 3 70B:
Reasoning: Sarah answers 3 phone calls a day. For each of these calls, she receives 11 more calls as a response. So, she receives 3 ร 11 = 33 additional calls. ### 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?
Llama 3 70B:
Reasoning: Melanie needs 3 sleeping bags for each of her 4 friends, so she needs 3 x 4 = 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?
Llama 3 70B:
Reasoning: Melanie needs 3 sleeping bags for each of her 6 friends, so she needs 3 x 6 = 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?
Llama 3 70B:
Reasoning: Since Johnny has 3 times the amount of snowballs that Billy does, we can multiply the number of snowballs Billy has by 3 to find the number of snowballs Johnny has. Number of snowballs Johnny has = 3 ร 6 = 18 ### 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?
Llama 3 70B:
Reasoning: Since Johnny had 3 times the amount of snowballs that Billy does, and Billy has 11 snowballs, we can multiply the number of snowballs Billy has by 3 to find the number of snowballs Johnny has. Number of snowballs Johnny has = 3 ร 11 = 33 ### 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?
Llama 3 70B:
Reasoning: Since each star is equivalent to 5 points, and Tom collected 1 star, he has 1 x 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?
Llama 3 70B:
Reasoning: Tom collected 4 more stars, and each star is equivalent to 5 points, so he earned 4 x 5 = 20 additional points. ### Answer: 20
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?
Llama 3 70B:
Reasoning: Since each star is now equivalent to 7 points, and Tom collected 1 star, he has 1 x 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?
Llama 3 70B:
Reasoning: Since Captain Jack has 4 cannons, and each cannon fires 12 cannonballs, we can multiply the number of cannons by the number of cannonballs each fires to find the total number of cannonballs fired. 4 cannons x 12 cannonballs/cannon = 4 x 12 = 48 ### 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?
Llama 3 70B:
Reasoning: Since Captain Jack has 4 cannons, and each cannon fires 3 cannonballs, we can multiply the number of cannons by the number of cannonballs each fires to find the total number of cannonballs fired. 4 cannons x 3 cannonballs/cannon = 4 x 3 = 12 ### 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?
Llama 3 70B:
Reasoning: Emma currently has 10 colored pencils. The square of 10 is 10 ร 10 = 100. So, Emma wants to have 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?
Llama 3 70B:
Reasoning: Emma currently has 4 colored pencils. The square of 4 is 4 ร 4 = 16. So, Emma wants to have 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?
Llama 3 70B:
Reasoning: Emily had 70 cookies and packed them in bags of 7 cookies each. To find the number of bags, we divide 70 by 7: 70 รท 7 = 10 bags. Then, she decided to multiply the number of bags by 6, so we multiply 10 by 6: 10 ร 6 = 60. Since each bag has 7 cookies, we multiply 60 by 7 to find the total number of cookies needed: 60 ร 7 = 420 cookies. ### Answer: 420
Expected answer: 60
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?
Llama 3 70B:
Reasoning: Since there are 6 cannons on one side of the ship, and each cannon fires 4 cannonballs at a time, we can multiply the number of cannons by the number of cannonballs each fires to find the total number of cannonballs fired. 6 cannons x 4 cannonballs/cannon = 6 x 4 = 24 ### 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?
Llama 3 70B:
Reasoning: Since there are 6 cannons on one side of the ship, and each cannon fires 11 cannonballs at a time, we can multiply the number of cannons by the number of cannonballs each fires to find the total number of cannonballs fired. 6 cannons x 11 cannonballs/cannon = 6 x 11 = 66 ### 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?
Llama 3 70B:
Reasoning: To find the distance covered by the unicorn every hour, we need to divide the total distance it covers in a day (72 miles) by the time it takes to cover that distance (12 hours). Distance per hour = Total distance รท Time = 72 miles รท 12 hours = 6 miles per 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?
Llama 3 70B:
Reasoning: Since the unicorn's speed is tripled, its new pace would be 3 times its original pace of 6 miles per hour. New pace = 3 ร 6 miles per hour = 18 miles per hour To find the distance covered in the enchanted hour, we multiply the new pace by 1 hour: Distance = New pace ร Time = 18 miles per hour ร 1 hour = 18 miles ### Answer: 18 miles
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?
Llama 3 70B:
Reasoning: Since Sue has 3 potato plants and each plant yields 10 potatoes, we can multiply the number of plants by the number of potatoes each plant yields to find the total number of potatoes. 3 plants x 10 potatoes/plant = 3 x 10 = 30 potatoes ### 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?
Llama 3 70B:
Reasoning: Since Sue has 3 potato plants and each plant yields 3 potatoes, we can multiply the number of plants by the number of potatoes each plant yields to find the total number of potatoes. 3 plants x 3 potatoes/plant = 3 x 3 = 9 potatoes ### 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?
Llama 3 70B:
Reasoning: If the astronaut walks 20 kilometers per day, and they only walk for 1/5 of the day, they will cover 20 ร (1/5) = 20 ร 0.2 = 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?
Llama 3 70B:
Reasoning: If the astronaut normally walks 20 kilometers per day, and they decide to walk for 12/5 of a day, they will cover 20 ร (12/5) = 20 ร 2.4 = 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?
Llama 3 70B:
Reasoning: If the astronaut walks 20 kilometers per day, and they only walk for 1/6 of the day, they will cover 20 ร (1/6) = 20 ร 0.1667 = 3.33 kilometers. ### Answer: 3.33
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?
Llama 3 70B:
Reasoning: To find out how many lemons will be in each box, we need to divide the total number of lemons (10) by the number of boxes (5). 10 รท 5 = 2 So, 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?
Llama 3 70B:
Reasoning: We already know that there were 2 lemons in each box initially. Mr. Lemon wants to add 2 more lemons to each box, so we need to add 2 to the initial number of lemons in each box. 2 (initial lemons) + 2 (additional lemons) = 4 So, there will be 4 lemons in each box now. ### 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?
Llama 3 70B:
Reasoning: To find out how many lemons will be in each box, we need to divide the total number of lemons (10) by the new number of boxes (6). 10 รท 6 = 1 with a remainder of 4 Since we can't divide lemons into fractions, we can say that there will be 1 lemon in each of the 6 boxes, and 4 lemons will be left over. ### Answer: 1 (with 4 lemons left over)
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?
Llama 3 70B:
Reasoning: Each helicopter pad can hold 4 helicopters. If the city builds 11 new helicopter pads, the total number of helicopters they can hold is 11 x 4 = 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?
Llama 3 70B:
Reasoning: Since each helicopter requires one helipad to park, the number of occupied helipads is equal to the number of helicopters. We previously found that the city's helicopter pads can hold 44 helicopters. Therefore, 44 helipads will be occupied when all the helicopters are parked. ### Answer: 44
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?
Llama 3 70B:
Reasoning: Since John's room requires 12 large carpet tiles fully side by side, and each tile is equivalent to 1 bed space, we can conclude that John's room 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?
Llama 3 70B:
Reasoning: Since John's room still requires 12 large carpet tiles side by side, and each tile can now fit 3 beds, we can multiply the number of tiles by the number of beds each tile can fit: 12 tiles x 3 beds/tile = 36 beds. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Sophie has 8 flowerpots. In each flowerpot, she plans to plant 3 flowers. How many flowers will Sophie plant in total?
Llama 3 70B:
Reasoning: Sophie has 8 flowerpots and she plans to plant 3 flowers in each flowerpot. To find the total number of flowers, we can multiply the number of flowerpots by the number of flowers per pot: 8 x 3 = 24. ### 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?
Llama 3 70B:
Reasoning: Sophie initially planted 24 flowers. To double the number of flowers, we can multiply the initial number by 2: 24 x 2 = 48. ### 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?
Llama 3 70B:
Reasoning: Sophie has 12 flowerpots and she plans to plant 3 flowers in each flowerpot. To find the total number of flowers, we can multiply the number of flowerpots by the number of flowers per pot: 12 x 3 = 36. ### 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?
Llama 3 70B:
Reasoning: Since each box contains 6 presents, and Shawn has 12 boxes, we can multiply the number of boxes by the number of presents in each box to find the total number of presents. 12 boxes x 6 presents/box = 12 x 6 = 72 presents ### 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?
Llama 3 70B:
Reasoning: Since each box contains 6 presents, and Shawn has 2 boxes, we can multiply the number of boxes by the number of presents in each box to find the total number of presents. 2 boxes x 6 presents/box = 2 x 6 = 12 presents ### 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?
Llama 3 70B:
Reasoning: If each RoboFalcon assembler can build 8 robots per hour, then in 12 hours it can build 8 x 12 = 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?
Llama 3 70B:
Reasoning: If the RoboFalcon assembler can build 6 robots per hour, then in 12 hours it can build 6 x 12 = 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?
Llama 3 70B:
Reasoning: Tom has 2 tents, and each tent has 8 poles, so there are a total of 2 x 8 = 16 poles. Each pole has 6 strings attached, so there are a total of 16 x 6 = 96 strings. ### 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?
Llama 3 70B:
Reasoning: Tom has 2 tents, and each tent has 3 poles, so there are a total of 2 x 3 = 6 poles. Each pole has 6 strings attached, so there are a total of 6 x 6 = 36 strings. ### 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?
Llama 3 70B:
Reasoning: To find out how many filters each camera would get, we need to divide the total number of filters (10) by the number of cameras (5). 10 รท 5 = 2 So, each camera would get 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?
Llama 3 70B:
Reasoning: Since Jane initially gave 6 filters to each camera, and she has 5 cameras, we can set up an equation to represent the situation: Number of filters per camera ร Number of cameras = Total number of filters Let's say the number of filters per camera is x. Then, the equation becomes: x ร 5 = 10 To solve for x, we can divide both sides of the equation by 5: x = 10 รท 5 x = 2 However, the problem states that Jane initially gave 6 filters to each camera, not 2. This means that the initial distribution was not equal to the 10 filters she received as a gift. ### Answer: 6
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?
Llama 3 70B:
Reasoning: Since the elephant takes 1 hour to drink 1 gallon of water, and it spends 1 hour by the waterhole, it means the elephant drinks 1 gallon of water in that 1 hour. ### Answer: 1
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?
Llama 3 70B:
Reasoning: Since the elephant drank 1 gallon of water, and each gallon of water weighs approximately 1 pound, the elephant gained 1 pound from drinking. ### Answer: 1
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?
Llama 3 70B:
Reasoning: Since the elephant takes 1 hour to drink 1 gallon of water, and it spends 5 hours by the waterhole, it means the elephant drinks 5 gallons of water in that 5 hours. ### Answer: 5
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?
Llama 3 70B:
Reasoning: If one gallon of milk can fill up 2 large containers, then to fill 4 large containers, we need to find out how many times 2 goes into 4. This is equivalent to dividing 4 by 2, which gives us 2. Therefore, we need 2 gallons of milk to fill 4 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?
Llama 3 70B:
Reasoning: If one gallon of milk can fill up 2 large containers, then to fill 11 large containers, we need to find out how many times 2 goes into 11. This is equivalent to dividing 11 by 2, which gives us 5.5. Since we can't have a fraction of a gallon, we need to round up to the nearest whole number to ensure we have enough milk to fill all 11 containers. Therefore, we need 6 gallons of milk to fill all 11 containers. ### Answer: 6
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?
Llama 3 70B:
Reasoning: Eddy has 3 pieces of gold, and for each gold coin, he gets a matching emerald. So, he gets 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?
Llama 3 70B:
Reasoning: Eddy had 3 emeralds, and for each emerald, he got 4 rubies. So, he got 3 x 4 = 12 rubies. ### 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?
Llama 3 70B:
Reasoning: To find the level, we need to divide the height the dolphin jumps by 10. 20 feet รท 10 feet/level = 2 levels ### 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?
Llama 3 70B:
Reasoning: The dolphin's original jump level is 2. If it increases by 11 times, we multiply 2 by 11. 2 ร 11 = 22 ### 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?
Llama 3 70B:
Reasoning: To find the level, we need to divide the height the dolphin jumps by 11. 20 feet รท 11 feet/level = 1.818... (approximately) Since we can't have a fraction of a level, we round down to the nearest whole number. ### Answer: 1
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?
Llama 3 70B:
Reasoning: To find out how many balls each friend will get, we need to divide the total number of balls (28) by the number of friends (7). 28 รท 7 = 4 So each friend will get 4 balls. ### 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?
Llama 3 70B:
Reasoning: To find out how many balls each friend will get, we need to divide the total number of balls (28) by the new number of friends (10). 28 รท 10 = 2.8 Since we can't divide balls into fractions, each friend will get 2 balls, and there will be 8 balls left over. ### Answer: 2
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?
Llama 3 70B:
Reasoning: Since each machine can manufacture the same number of robots per day as there are machines, each machine can manufacture 8 robots per day. Since there are 8 machines, the total number of robots the entire factory can produce in one day is 8 x 8 = 64. ### 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?
Llama 3 70B:
Reasoning: Since each machine can manufacture the same number of robots per day as there are machines, each machine can manufacture 7 robots per day. Since there are 7 machines, the total number of robots the entire factory can produce in one day is 7 x 7 = 49. ### 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?
Llama 3 70B:
Reasoning: To find the number of segments, we need to divide the total length of the line segment (15 cm) by the length of each segment (5 cm). 15 cm รท 5 cm = 3 So, Maya got 3 segments in the end. ### 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?
Llama 3 70B:
Reasoning: To find the number of segments, we need to divide the total length of the line segment (15 cm) by the length of each segment (7 cm). However, we can see that 15 is not exactly divisible by 7. We can find the largest whole number of segments by dividing 15 by 7: 15 cm รท 7 cm = 2 with a remainder of 1 This means Maya would have obtained 2 full segments of 7 cm each, and a remaining piece of 1 cm. Since the remaining piece is not a full segment, we don't count it. So, Maya would have obtained 2 segments. ### Answer: 2
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?
Llama 3 70B:
Reasoning: Tommy initially has 5 types of cheese. He multiplies this by 5 to provide variety, so he now has 5 x 5 = 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?
Llama 3 70B:
Reasoning: Tommy initially has 7 types of cheese. He multiplies this by 5 to provide variety, so he now has 7 x 5 = 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?
Llama 3 70B:
Reasoning: The width of the river increases by 10 feet every year. To find the total increase in width after 9 years, we can multiply the annual increase by the number of years: 10 feet/year ร 9 years = 10 ร 9 = 90 feet. ### Answer: 90 feet.
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?
Llama 3 70B:
Reasoning: Since the width of the river increases by 10 feet every 3 years, we need to find out how many 3-year periods are in 9 years. We can divide 9 years by 3 years to get 9 รท 3 = 3. So, there are 3 periods of 3 years in 9 years. The width of the river increases by 10 feet in each of these periods, so the total increase is 3 ร 10 = 30 feet. ### Answer: 30 feet.
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?
Llama 3 70B:
Reasoning: To find the number of groups, we need to divide the total number of stuffed animals (20) by the number of animals in each group (4). 20 รท 4 = 5 So, Jessica has 5 groups of stuffed animals. ### 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?
Llama 3 70B:
Reasoning: To find the number of groups, we need to divide the total number of stuffed animals (9) by the number of animals in each group (4). 9 รท 4 = 2 with a remainder of 1 Since we can't have a fraction of a group, Jessica would have 2 complete groups and 1 animal left over. ### 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?
Llama 3 70B:
Reasoning: Since Tom has 5 drums, and each drum has a length of 8 inches, we can find the total length by multiplying the number of drums by the length of each drum. Total length = Number of drums ร Length of each drum = 5 ร 8 = 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?
Llama 3 70B:
Reasoning: Since Tom is adding a second row of drums beneath the first, the total number of drums is now 5 + 5 = 10 drums. Each drum still has a length of 8 inches. To find the total length, we can multiply the total number of drums by the length of each drum. Total length = Total number of drums ร Length of each drum = 10 ร 8 = 80 inches Since the two rows of drums are placed side by side, the total length remains the same, which is 80 inches. ### Answer: 80 inches
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?
Llama 3 70B:
Reasoning: Since Tom has 5 drums, and each drum has a length of 11 inches, we can find the total length by multiplying the number of drums by the length of each drum. Total length = Number of drums ร Length of each drum = 5 ร 11 = 55 inches ### Answer: 55 inches
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?
Llama 3 70B:
Reasoning: Jack has 5 apples and wants to multiply it by 6 to get the total number of oranges. This means he can trade 1 apple for 6 oranges. So, he can trade 5 apples for 5 x 6 = 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?
Llama 3 70B:
Reasoning: Jack has 12 apples and wants to multiply it by 6 to get the total number of oranges. This means he can trade 1 apple for 6 oranges. So, he can trade 12 apples for 12 x 6 = 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?
Llama 3 70B:
Reasoning: Since there are 6 different colors in a set, we can divide the total number of marker pens (72) by 6 to find the number of sets. 72 รท 6 = 12 So, there are 12 sets of different colors in the pack. ### 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?
Llama 3 70B:
Reasoning: To find the number of pieces of gold in each pile, we need to divide the total number of pieces of gold (80) by the number of piles (8). 80 รท 8 = 10 So, each pile contains 10 pieces of gold. ### 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?
Llama 3 70B:
Reasoning: We already know that each pile contains 10 pieces of gold. The dragon's special pile contains 4 times the number of gold pieces in each pile, so we multiply 10 by 4: 10 ร 4 = 40 So, the dragon's special pile contains 40 pieces of gold. ### 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?
Llama 3 70B:
Reasoning: To find the number of pieces of gold in each pile, we need to divide the total number of pieces of gold (80) by the number of piles (11). 80 รท 11 = 7 with a remainder of 3 Since we can't divide gold into fractions, each pile would contain 7 pieces of gold, and there would be 3 pieces left over. ### Answer: 7
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?
Llama 3 70B:
Reasoning: John wants to divide his camping area of 44 square meters into 11 equal sections. To find the area of each section, we divide 44 by 11: 44 รท 11 = 4 square meters per section. Since each section can host a tent, and each tent can accommodate 12 campers, we multiply the number of sections (or tents) by the number of campers per tent: 11 sections ร 12 campers/section = 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?
Llama 3 70B:
Reasoning: If the tiger can travel 6 miles in 1 hour, it can travel 6 x 3 = 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?
Llama 3 70B:
Reasoning: If the tiger can travel 6 miles in 1 hour, and it can travel 7 times as far, then it can travel 6 x 7 = 42 miles in 1 hour. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: A number sets of 6 are multiplied by 7. What is the resulting product?
Llama 3 70B:
Reasoning: If we have a number of sets of 6, and we multiply each set by 7, we can represent this as 6 ร 7. To find the product, we multiply 6 by 7: 6 ร 7 = 42. ### Answer: 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?
Llama 3 70B:
Reasoning: If we have 4 sets of a certain number, and we multiply each set by 7, we can represent this as 4 ร 7. To find the product, we multiply 4 by 7: 4 ร 7 = 28. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A doctor works double shift every day. If one shift is 6 hours, for how many hours does the doctor work each day?
Llama 3 70B:
Reasoning: If the doctor works double shift, that means they work two shifts in a day. One shift is 6 hours, so two shifts would be 2 x 6 = 12 hours. ### 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?
Llama 3 70B:
Reasoning: The doctor works 11 hours a day. To find the total hours worked in a two-day period, we multiply the daily hours by 2: 11 hours/day x 2 days = 22 hours. ### 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?
Llama 3 70B:
Reasoning: The farmer plants 6 seeds in each row, and he has 11 rows. To find the total number of seeds, we can multiply the number of seeds per row by the number of rows: 6 seeds/row ร 11 rows = 6 ร 11 = 66 seeds. ### 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?
Llama 3 70B:
Reasoning: Since the baby is 10 months old, Mommy has bought toys for 10 months. For each month, Mommy buys 5 toys, so the total number of toys is 10 x 5 = 50. ### 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?
Llama 3 70B:
Reasoning: Since Mommy bought 5 toys per month for 9 months, the total number of toys she bought is 9 x 5 = 45. ### Answer: 45
Expected answer: 45
Correct? Yes