Problem: In light of the original problem, suppose for each 1 meter of sliding, Isaac now gains 5 times the speed instead of 3 times the speed. In this case, how much speed does he gain after sliding 1 meter?

Llama 3 8B:

Reasoning: Isaac gains 5 times the speed for every 1 meter of sliding. So, for 1 meter, he gains 5 times the initial speed.
Let's say the initial speed is x. Then, the speed after 1 meter is x + 5x = 6x.
### Answer: 5x

Expected answer: 5

Correct? Yes

Problem: In a further experiment, a third rocket with the same mass of 8 is tested, but this time it is equipped with an improved fuel system that requires less fuel. Now, this rocket requires only 5 units of fuel per mass. How much fuel is this third rocket going to need?

Llama 3 8B:

Reasoning: The mass of the rocket remains the same, which is 8. The new fuel system requires 5 units of fuel per mass. To find the fuel needed, we multiply the mass by 5.

8 x 5 = 40

### Answer: 40

Expected answer: 40

Correct? Yes

Problem: In addition to planting seeds in the plots, Theresa wanted to give 7 gift bags each containing as many seeds as the number she planted in each plot. How many seeds should Theresa set aside for the gift bags?

Llama 3 8B:

Reasoning: Theresa planted 8 seeds in each of the 11 plots (10 original plots + 1 extra plot), so she planted a total of 8 x 11 = 88 seeds in the plots.
She wants to give 7 gift bags, each containing as many seeds as she planted in each plot, which is 8 seeds. So, she needs to set aside 7 x 8 = 56 seeds for the gift bags.
### Answer: 56

Expected answer: 56

Correct? Yes

Problem: In a change of plans, Theresa divided the 80 seeds evenly between only 2 plots instead of 10. This meant each plot now received a different number of seeds than before. If she later planted an extra plot with the same amount of seeds as in each of the new plots, how many seeds did she use for the extra plot?

Llama 3 8B:

Reasoning: Theresa originally had 80 seeds and divided them evenly between 10 plots, so each plot received 80/10 = 8 seeds.
She then divided the same 80 seeds evenly between only 2 plots, so each plot received 80/2 = 40 seeds.
She later planted an extra plot with the same amount of seeds as in each of the new plots, which is 40 seeds.
### Answer: 40

Expected answer: 40

Correct? Yes

Problem: Going back to the first part of the previous problem, suppose that each section of the dress actually requires 6 yards of fabric instead of 1. How many yards of fabric are needed for one section of the dress in this case?

Llama 3 8B:

Reasoning: The problem states that each section of the dress requires 6 yards of fabric, so the number of yards needed for one section is 6.

### Answer: 6

Expected answer: 6

Correct? Yes

Problem: Remembering his magical spell, Captain Blackbeard starts to second guess himself. What if his magical spell had only doubled the amount of treasure chests instead of tripling? How many treasure chests would be in the cave in that case, after the spell is cast?

Llama 3 8B:

Reasoning: Initially, there are 11 treasure chests in the cave.
The magical spell doubles the amount of treasure chests, which means it multiplies the number of chests by 2.
So, the number of treasure chests becomes 11 x 2 = <<11 x 2=22>>22.
### Answer: 22

Expected answer: 22

Correct? Yes

Problem: If instead the baby giraffe grows by 4 feet every year, how tall would the giraffe be after 7 years?

Llama 3 8B:

Reasoning: The giraffe grows by 4 feet every year, so after 7 years, it would have grown a total of 7 x 4 = 28 feet.
The giraffe starts at 0 feet tall, so after 7 years, it would be 28 feet tall.
### Answer: 28

Expected answer: 28

Correct? Yes

Problem: After examining his ropes, Pete figures out that he needs to use all of his rope for a project. If he combines all 4 pieces of his 8 foot long ropes, how many feet of rope will he have for his project?

Llama 3 8B:

Reasoning: Pete already knows that he has 4 pieces of rope, each 8 feet long. To find the total length of rope, we can simply add the lengths of the individual pieces:

8 feet + 8 feet + 8 feet + 8 feet = 32 feet

### Answer: 32

Expected answer: 32

Correct? Yes

Problem: Upon rechecking his inventory, Pete realizes he actually has 12 pieces of rope not 4. If each of these 12 ropes are 8 feet each, how much total length of rope does Pete have now?

Llama 3 8B:

Reasoning: Pete has 12 pieces of rope, and each piece is 8 feet long. To find the total length of rope, we multiply the number of pieces by the length of each piece.

12 pieces x 8 feet/piece = 12 x 8 = 96 feet

### Answer: 96

Expected answer: 96

Correct? Yes

Problem: Earlier, we learned the Marine Institute distributed 81 starfish equally across 9 tanks. But what if they had only 12 starfish instead? How many starfish would equal distribution across the 9 tanks result in then?

Llama 3 8B:

Reasoning: Since the starfish are to be distributed equally across 9 tanks, we can find the number of starfish that would be in each tank by dividing the total number of starfish by 9.

Let's say the total number of starfish is x. Then, the number of starfish in each tank would be x ÷ 9.

We know that the total number of starfish is 12, so we can set up the equation:

x ÷ 9 = 1 (since we want to find the number of starfish that would result in 1 starfish per tank)

To solve for x, we can multiply both sides of the equation by 9:

x = 9

So, the number of starfish that would result in equal distribution across 9 tanks is 9.

### Answer: 9

Expected answer: 4/3

Correct? No

Problem: After finding toys in the sandbox for two days, Lisa decides to bury and later dig up the exact square of the number of toys she found on the second day. How many toys will Lisa bury and dig up if she follows this plan?

Llama 3 8B:

Reasoning: Lisa found 2 toys on the second day. The square of 2 is 2 x 2 = 4.
So, Lisa will bury and dig up 4 toys.
### Answer: 4

Expected answer: 4

Correct? Yes

Problem: Instead of finding twice as many toys as the previous day, Lisa now finds ten times as many toys as the previous day. How many toys will she find on the second day following this new rule?

Llama 3 8B:

Reasoning: If Lisa finds ten times as many toys every next day, that means on the second day, she will find 10 times the number of toys she found on the first day.
Since she found 1 toy on the first day, she will find 10 x 1 = 10 toys on the second day.
### Answer: 10

Expected answer: 10

Correct? Yes

Problem: Given that the robot processed information to match the system's speed, it needed to multiply this new processing speed by itself to calculate its efficiency rate. What is the robot's efficiency rate?

Llama 3 8B:

Reasoning: The robot's new processing speed is 1 microsecond. To calculate its efficiency rate, it needs to multiply this speed by itself, which gives us 1 × 1 = 1.
The robot's efficiency rate is 1, which means it is 100% efficient.
### Answer: 1

Expected answer: 1

Correct? Yes

Problem: If the robot's processing speed were slightly faster and instead was able to process information in 12 microseconds which still needed to be divided by 11 to match the system's speed, how quickly could the robot process information to match the system's speed then?

Llama 3 8B:

Reasoning: The robot can process information in 12 microseconds, but it needs to be divided by 11 to match the system's speed. This means we need to divide 12 by 11, which gives us 1.09 (approximately).
The robot can process information in approximately 1.09 microseconds to match the system's speed.
### Answer: 1.09

Expected answer: 12/11

Correct? No

Problem: Each of these tomatoes will produce 3 new seeds of its own. Using all the seeds from the tomatoes that Nina grows, how many new tomato plants could she potentially grow?

Llama 3 8B:

Reasoning: Nina will grow 18 tomatoes, and each tomato will produce 3 new seeds. So, the total number of new seeds is 18 x 3 = 54 seeds.
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: In the above problem, the alien learned another new word. If they transmit each word 11 times per minute and the alien can now transmit two words, how many transmissions will the alien be able to make after 1 minute?

Llama 3 8B:

Reasoning: The alien can transmit each word 11 times per minute. Since they can now transmit 2 words, they will transmit each word 11 times. Therefore, they will transmit a total of 11 + 11 = 22 times.
### Answer: 22

Expected answer: 22

Correct? Yes

Problem: In the previous problem, instead of transmitting each word 11 times per minute, suppose the alien can only transmit each word 3 times per minute. How many transmissions will the alien be able to make after 1 minute if they learn a new word?

Llama 3 8B:

Reasoning: The alien can transmit each word 3 times per minute. Since they learn a new word, they will transmit only 1 word. Therefore, they will transmit the word 3 times.
### Answer: 3

Expected answer: 3

Correct? Yes

Problem: If the unicorn maintains the same speed, how many miles would it travel in 3 hours?

Llama 3 8B:

Reasoning: Since the unicorn maintains the same speed, we can multiply the speed (5 miles per hour) by the number of hours (3 hours) to find the total distance traveled.

5 miles/hour × 3 hours = 15 miles

### Answer: 15

Expected answer: 15

Correct? Yes

Problem: If instead the unicorn traveled 35 miles in 2 hours, how many miles would the unicorn travel in one hour?

Llama 3 8B:

Reasoning: The unicorn travels 35 miles in 2 hours. To find the distance traveled in one hour, we can divide the total distance by the number of hours.

35 miles ÷ 2 hours = 17.5 miles per hour

### Answer: 17.5

Expected answer: 35/2

Correct? Yes

Problem: Following from the previous problem, suppose Spectra, another superhero, has 5 times the strength of Jetstream. What is the strength of Spectra?

Llama 3 8B:

Reasoning: We already found that Jetstream's strength is 15x. Since Spectra has 5 times the strength of Jetstream, Spectra's strength is 5 times Jetstream's strength. So, Spectra's strength is 5(15x) = 75x.

### Answer: 75x

Expected answer: 75

Correct? Yes

Problem: Jason had made one necklace requiring 6 beads, but now he wants to make a total of 3 necklaces. How many beads will he need in total to make these 3 necklaces?

Llama 3 8B:

Reasoning: Since each necklace requires 6 beads, to make 3 necklaces, Jason will need 3 x 6 = 18 beads.

### Answer: 18

Expected answer: 18

Correct? Yes

Problem: In the original problem, Jason made one necklace using 6 beads. But what if he wanted to use a new design that requires 8 times as many beads as his original design? How many beads would Jason need to create this new necklace?

Llama 3 8B:

Reasoning: Since the original design requires 6 beads, the new design requires 8 times as many beads, which is 6 x 8 = 48 beads.

### Answer: 48

Expected answer: 48

Correct? Yes

Problem: After successfully unlocking the puzzle box with the code obtained by multiplying 2 by 3, a new challenge appears on the screen inside the box. It tells you to multiply the previous code by 12 to get the final secret code to complete the puzzle. What is the final code?

Llama 3 8B:

Reasoning: We previously obtained the code by multiplying 2 by 3, which is 6. The new challenge tells us to multiply this code by 12 to get the final secret code.

6 × 12 = 72

So, the final code is 72.

### Answer: 72

Expected answer: 72

Correct? Yes

Problem: After completing the previous challenge, another puzzle appears on the next screen inside the box. It instructs you to multiply 2 by 7 instead of 3. What number will you get by following this new instruction for the puzzle?

Llama 3 8B:

Reasoning: The new instruction is to multiply 2 by 7, which means we need to calculate the result of 2 × 7.

2 × 7 = 14

So, by following this new instruction, we will get the number 14.

### Answer: 14

Expected answer: 14

Correct? Yes

Problem: If Peter then puts all of the money from the one wallet into a piggy bank, how much money will be in the piggy bank?

Llama 3 8B:

Reasoning: Peter already had 54 dollars in the wallet. Since he puts all the money from the wallet into the piggy bank, the amount of money in the piggy bank is still 54 dollars.
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: If Peter originally had 12 dollars in each of the 6 wallets instead of 9, how much money would be in the one wallet then?

Llama 3 8B:

Reasoning: Peter has 6 wallets, and each wallet has 12 dollars. To find the total amount of money, we multiply the number of wallets by the amount of money in each wallet: 6 x 12 = 72.
### Answer: 72

Expected answer: 72

Correct? Yes

Problem: Now consider that the butterfly only flaps its wings 9 times in one second. How many times would it flap its wings in 4 seconds?

Llama 3 8B:

Reasoning: The butterfly flaps its wings 9 times in 1 second. To find out how many times it flaps its wings in 4 seconds, we can multiply the number of times it flaps its wings in 1 second by the number of seconds.

9 times/second × 4 seconds = 36 times

### Answer: 36

Expected answer: 36

Correct? Yes

Problem: If the plane's speed was instead 11 miles per minute, how many miles would the plane cover in the same time period of 6 minutes?

Llama 3 8B:

Reasoning: The plane travels at a constant speed of 11 miles per minute. To find the distance covered in 6 minutes, we can multiply the speed by the time:

Distance = Speed x Time
= 11 miles/minute x 6 minutes
= 66 miles

### Answer: 66

Expected answer: 66

Correct? Yes

Problem: In a different scenario, Josephine originally had 9 pairs of ice skates instead of 27 that she wanted to distribute equally among the 9 stores. How many pairs of ice skates would each store receive in this case?

Llama 3 8B:

Reasoning: To find out how many pairs of ice skates each store will receive, we need to divide the total number of pairs (9) by the number of stores (9).

9 ÷ 9 = 1

So, each store will receive 1 pair of ice skates.

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: Billy decides to double his collection of kites. After doubling the initial amount, how many kites will he have in total?

Llama 3 8B:

Reasoning: Billy initially has 27 kites. To double his collection, we multiply the initial amount by 2: 27 x 2 = 54.
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: Billy initially thought he had 9 sets of kites, but he actually had 11 sets. Given that each set contains 9 kites, how many kites does he really have in total?

Llama 3 8B:

Reasoning: Billy initially thought he had 9 sets of kites, but he actually has 11 sets. To find the total number of kites, we multiply the actual number of sets by the number of kites in each set: 11 x 9 = 99.
### Answer: 99

Expected answer: 99

Correct? Yes

Problem: Continuing the fairy tale, the magical creature took the outcome from her previous spell and multiplied it by 5. What is the new number after this spell?

Llama 3 8B:

Reasoning: The magical creature had the outcome of 16 from the previous spell, and now it multiplies 16 by 5. The result is 16 × 5 = 80.
### Answer: 80

Expected answer: 80

Correct? Yes

Problem: Continuing the magical story, suppose the magical creature had initially started with the number 11 instead of 4, and had multiplied this number by 4. What would have been the outcome of the first spell in that case?

Llama 3 8B:

Reasoning: The magical creature multiplies the number 11 by 4, which means it multiplies 11 by 4. The result of this multiplication is 11 × 4 = 44.
### Answer: 44

Expected answer: 44

Correct? Yes

Problem: At first, there were 12 rooms instead of 3 to distribute the 27 chairs into. How many chairs would each room have in this case?

Llama 3 8B:

Reasoning: To find out how many chairs each room will have, we need to divide the total number of chairs (27) by the number of rooms (12).

27 ÷ 12 = 2.25

Since you can't have a fraction of a chair, we'll round down to the nearest whole number. In this case, each room would have 2 chairs.

### Answer: 2

Expected answer: 9/4

Correct? No

Problem: Now, imagine if the store decided to stock only one toy car per shelf instead, distributing 8 toy cars uniformly over 8 shelves. How many toy cars would be there per shelf?

Llama 3 8B:

Reasoning: Since the store is distributing 8 toy cars uniformly over 8 shelves, each shelf will have the same number of toy cars.

To find the number of toy cars per shelf, we can divide the total number of toy cars (8) by the number of shelves (8).

8 ÷ 8 = 1

So, there would be 1 toy car per shelf.

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: In addition to the 3 pizzas, the restaurant also wants to make a special pizza that takes the same amount of time as the 3 pizzas combined. How long will it take to make the special pizza?

Llama 3 8B:

Reasoning: We already calculated that it takes 54 minutes to cook the 3 full pizzas. The special pizza takes the same amount of time as the 3 pizzas combined, so it will also take 54 minutes to cook.
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: The restaurant has revised its pizza cooking time. Now, each slice of pizza takes only 1 minute to cook but a full pizza still has 3 slices. Now, how long will it take to make 3 full pizzas?

Llama 3 8B:

Reasoning: Each full pizza has 3 slices, and it takes 1 minute to cook each slice. So, it takes 3 x 1 = 3 minutes to cook one full pizza.
The restaurant wants to make 3 full pizzas, so it will take 3 x 3 = 9 minutes to cook all 3 full pizzas.
### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Considering the previous problem, what if Arthur only drove his car for 2 hours each day for that same 4-day period? How many total hours did Arthur spend driving his car over this period?

Llama 3 8B:

Reasoning: Arthur drives his car for 2 hours each day, and he does this for 4 days. To find the total hours, we multiply the number of hours per day by the number of days: 2 hours/day x 4 days = 8 hours.
### Answer: 8

Expected answer: 8

Correct? Yes

Problem: Following the previous problem, if you were given the task to make two blankets with the same size and design, how many yards of yarn would you need in total?

Llama 3 8B:

Reasoning: We already know that one blanket requires 30 yards of yarn. To make two blankets, we would need 2 x 30 = 60 yards of yarn.
### Answer: 60

Expected answer: 60

Correct? Yes

Problem: Following the initial problem, consider if each blanket requires six yards of yarn for just one section, but the new design demands that a blanket is made up of 12 such sections. How many yards of yarn would you now need to create one blanket with this new design?

Llama 3 8B:

Reasoning: Each blanket requires 6 yards of yarn for one section, and the new design demands that a blanket is made up of 12 such sections. So, the total amount of yarn required for one blanket is 6 x 12 = 72 yards.
### Answer: 72

Expected answer: 72

Correct? Yes

Problem: Following the previous scenario, consider that the bus was actually traveling at a speed of 10 miles per hour, not 7. How many miles would the bus have travelled after 6 hours in this case?

Llama 3 8B:

Reasoning: The bus travels at a constant speed of 10 miles per hour. To find the distance traveled, we multiply the speed by the time: 10 miles/hour x 6 hours = 10 x 6 = 60 miles.
### Answer: 60

Expected answer: 60

Correct? Yes

Problem: Superhero Starlight, after completing her special power-up training, can now increase her initial power level by three times. If her initial power level was the product of multiplying 3 by 5, what is her new power level after the power-up training?

Llama 3 8B:

Reasoning: Initially, Starlight's power level was 3 × 5 = 15. After the power-up training, her power level increases by three times. To find the new power level, we multiply the initial power level by 3.

15 × 3 = 45

So, Starlight's new power level after the power-up training is 45.

### Answer: 45

Expected answer: 45

Correct? Yes

Problem: Considering that Superhero Starlight initially had a power level that was the product of multiplying 3 by 5, let's imagine if her initial power level was actually the product of multiplying 3 by 6. What would her initial power level be in this scenario?

Llama 3 8B:

Reasoning: If Starlight's initial power level is the product of multiplying 3 by 6, we need to multiply 3 by 6 to find her initial power level.

3 × 6 = 18

So, in this scenario, Starlight's initial power level would be 18.

### Answer: 18

Expected answer: 18

Correct? Yes

Problem: Now consider that Jessica has another backpack, this one has a side that measures 4 inches. What is the area of one side of this backpack, again assuming it is a perfect square?

Llama 3 8B:

Reasoning: Since the backpack is a perfect square, all sides are equal. The area of a square is found by multiplying the length of one side by itself. In this case, the length of one side is 4 inches, so the area is 4 x 4 = 16 square inches.
### Answer: 16

Expected answer: 16

Correct? Yes

Problem: Suppose Captain Sparrow had initially found 36 gold doubloons, but this time he wants to divide them equally among 7 crew members, not 3. How many gold doubloons will each crew member get now?

Llama 3 8B:

Reasoning: To divide the gold doubloons equally among the 7 crew members, we need to find the quotient of the total number of gold doubloons (36) divided by the number of crew members (7).

36 ÷ 7 = 5.14 (approximately)

Since we can't divide gold doubloons into fractions, we'll round down to the nearest whole number. In this case, each crew member will get 5 gold doubloons.

### Answer: 5

Expected answer: 36/7

Correct? No

Problem: In the previous problem, the robot factory increased its output to twice its original amount, making 10 robots each hour. If the factory were to then multiply this new hourly output by the same amount they were originally making each hour (5 robots), how many robots would the factory make every hour?

Llama 3 8B:

Reasoning: The factory originally produced 5 robots per hour. It then increased its output to 10 robots per hour, which is 2 times the original amount. If it now multiplies this new hourly output by the same amount it was originally making each hour (5 robots), it will produce 10 x 5 = 50 robots per hour.
### Answer: 50

Expected answer: 50

Correct? Yes

Problem: In the previous problem, the robot factory was originally making 5 robots each hour. However, if the factory were to increase its output to six times the original amount instead, how many robots would it produce each hour?

Llama 3 8B:

Reasoning: The factory originally produces 5 robots per hour. If it increases its output to six times this amount, it will produce 5 x 6 = 30 robots per hour.
### Answer: 30

Expected answer: 30

Correct? Yes

Problem: If one bike wheel still has a radius of 81/9 units, but now the height of a certain bike rack is only 6 times this radius, what is the height of the bike rack?

Llama 3 8B:

Reasoning: The radius of the bike wheel is still 81 / 9 = 9 units.
The height of the bike rack is 6 times the radius, so it is 6 x 9 = 54 units.
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: Following on from the previous problem, if Jamie continued swinging at the same pace for 3 more minutes, how many times would he have swung in total over those extra minutes?

Llama 3 8B:

Reasoning: Jamie swung 11 times in every minute, and he spent 3 more minutes swinging.
So, he swung 11 x 3 = <<11 x 3=33>>33 times in those extra minutes.
### Answer: 33

Expected answer: 33

Correct? Yes

Problem: After his first session, Jamie took a break and then returned to the swing. This second time, he swung 6 times per minute for one minute. How many times did he swing in that minute?

Llama 3 8B:

Reasoning: Jamie swung 6 times per minute, and he spent 1 minute swinging.
So, he swung 6 x 1 = <<6 x 1=6>>6 times in that minute.
### Answer: 6

Expected answer: 6

Correct? Yes

Problem: Let's say instead of initially having 9 robot toys and buying the same amount again, James originally had 9 robot toys, but this time, he decided to buy 5 more sets of 9 toys each. How many robot toys does James have now?

Llama 3 8B:

Reasoning: James has 9 robot toys initially.
He buys 5 more sets of 9 toys each, which is 5 x 9 = 45.
So, he now has 9 + 45 = 54 robot toys.
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: The farmer from the previous problem sells each egg for 1 dollar. How much money does the farmer make in a week by selling all the eggs?

Llama 3 8B:

Reasoning: The farmer has 77 eggs and sells each egg for $1. To find the total amount of money the farmer makes, we multiply the number of eggs by the price of each egg:

77 eggs x $1/egg = 77 x 1 = 77

So, the farmer makes $77 in a week by selling all the eggs.

### Answer: 77

Expected answer: 77

Correct? Yes

Problem: In the previous problem, if the farmer only had 2 chickens instead of 11, and each chicken still lays 7 eggs in a week, how many eggs would the chickens lay in total in a week?

Llama 3 8B:

Reasoning: If the farmer has 2 chickens, and each chicken lays 7 eggs in a week, we can find the total number of eggs laid by multiplying the number of chickens by the number of eggs each chicken lays:

2 chickens x 7 eggs/chicken = 2 x 7 = 14

So, the 2 chickens would lay 14 eggs in total in a week.

### Answer: 14

Expected answer: 14

Correct? Yes

Problem: The enchanted tree that has been growing in the forest doesn't stop there. Overnight, it grows half of its daily growth rate, which is 4 cm. If this overnight height is multiplied by 10, how long is the final growth of the tree over these 10 nights?

Llama 3 8B:

Reasoning: The tree grows 4 cm each day, and half of that (2 cm) each night. Overnight, it grows 2 cm, and if this is multiplied by 10, the total growth overnight is 2 x 10 = 20 cm.
Over 10 nights, the total growth is 20 cm x 10 = 200 cm.
### Answer: 200

Expected answer: 20

Correct? No

Problem: The enchanted tree that was previously growing at an overnight rate of 4 cm changes its growth pattern. Now, it starts to grow at a rate of 10 centimeters each day, but it still grows only half of this amount each night. How many centimeters does the tree now grow overnight?

Llama 3 8B:

Reasoning: The tree now grows 10 centimeters each day, and it grows half of this amount each night. Half of 10 is 10/2 = 5 centimeters.
### Answer: 5

Expected answer: 5

Correct? Yes

Problem: After having divided the mice among the 11 cages, the scientist realized that she made a mistake and originally there were only 77 mice but some of them were counted twice. After correcting for this mistake, she realized that she actually only had 77 / 2 mice. How many mice did the scientist have originally?

Llama 3 8B:

Reasoning: Since the scientist had 77 / 2 mice after correcting for the mistake, we can multiply this number by 2 to find the original number of mice.

77 / 2 = 38.5 (but we can't have a fraction of a mouse, so we'll round down to 38)

38 × 2 = 76

So, the scientist originally had 76 mice.

### Answer: 76

Expected answer: 77/2

Correct? No

Problem: Sally realizes that she made a mistake in her calculations for making earrings. Instead of needing 35 beads for a set of earrings, she only needs 35 beads for a display of five earrings. Therefore, she recalculates and finds that to make each earring she only needs to divide this new amount by five. If she wants to make just 2 earrings, how many beads will she need now?

Llama 3 8B:

Reasoning: Sally needs 35 beads for a display of 5 earrings, so she needs 35/5 = 7 beads for each earring.
To make 2 earrings, she will need 7 x 2 = 14 beads.
### Answer: 14

Expected answer: 14

Correct? Yes

Problem: In a new scenario, Brenda has 9 apples but this time she only wants to divide them evenly among her 2 closest friends. Given this change, how many apples will each friend receive now?

Llama 3 8B:

Reasoning: To find out how many apples each friend will get, we need to divide the total number of apples (9) by the number of friends (2).

9 ÷ 2 = 4.5

Since you can't divide apples into fractions, we'll round down to the nearest whole number. In this case, each friend will get 4 apples.

### Answer: 4

Expected answer: 9/2

Correct? No

Problem: The length of one side of a square is equal to the result of dividing 30 by 6. The total area of the square is found by multiplying the length of one side by itself. Now, if we multiply this area by 3, what will be the new value?

Llama 3 8B:

Reasoning: The length of one side of the square is equal to the result of dividing 30 by 6, which is 30/6 = 5.
The area of the square is found by multiplying the length of one side by itself, which is 5*5 = 25.
If we multiply this area by 3, we get 25*3 = 75.
### Answer: 75

Expected answer: 75

Correct? Yes

Problem: In the original problem, the length of one side of the square was found by dividing 30 by 6. Now consider a new scenario where the length of the square is instead found by dividing number 12 by 6. What would be the total area of this new square?

Llama 3 8B:

Reasoning: The length of one side of the square is equal to the result of dividing 12 by 6, which is 12/6 = 2.
The area of a square is found by multiplying the length of one side by itself, which is 2*2 = 4.
### Answer: 4

Expected answer: 4

Correct? Yes

Problem: If the first star, instead of emitting particles for 8 seconds, only emits particles for 5 seconds, how many particles will then it emit?

Llama 3 8B:

Reasoning: The star still emits 7 particles every second, but it only emits particles for 5 seconds instead of 8 seconds.
To find the total number of particles emitted, we multiply the number of particles emitted per second (7) by the number of seconds (5): 7 x 5 = 35
### Answer: 35

Expected answer: 35

Correct? Yes

Problem: The shoe factory increased its production time from five hours to ten hours. Now, how many shoes will the factory produce if it's still able to create 24 shoes every three hours?

Llama 3 8B:

Reasoning: The factory can create 24 shoes in 3 hours, so the rate of production is still 24/3 = 8 shoes per hour.
If the factory runs for 10 hours, the total number of shoes produced will be 8 x 10 = 80.
### Answer: 80

Expected answer: 80

Correct? Yes

Problem: Considering the same unique species of butterfly, but now in a different region it only lives for 5 days each week instead of per month. How many days total does the butterfly species live in a 7-week span?

Llama 3 8B:

Reasoning: The butterfly lives for 5 days each week. Since there are 7 weeks in the span, the total number of days the butterfly lives is 5 x 7 = 35.
### Answer: 35

Expected answer: 35

Correct? Yes

Problem: In fairy land, change the original number of fairies an ordinary mushroom can feed from 10 to 11. With this change, how many fairies can a magic mushroom, which can provide food as 4 ordinary mushrooms, feed for a day?

Llama 3 8B:

Reasoning: One ordinary mushroom provides food for 11 fairies, so 4 ordinary mushrooms will provide food for 4 x 11 = 44 fairies.
A magic mushroom can provide food as 4 ordinary mushrooms, so it can provide food for 44 fairies.
### Answer: 44

Expected answer: 44

Correct? Yes

Problem: If the speed of the river were instead 4 kilometers per hour for 2 hours, how far would the river flow within these 2 hours?

Llama 3 8B:

Reasoning: The river is flowing at a rate of 4 kilometers per hour. To find the distance it can flow in 2 hours, we can multiply the rate by the time:

Distance = Rate x Time
= 4 km/h x 2 h
= 8 km

### Answer: 8 km

Expected answer: 8

Correct? Yes

Problem: Following up on the last problem: If Ava decides to triple the height of the slide that is double her height, how high will the new slide be?

Llama 3 8B:

Reasoning: We already know the height of the original slide is 24 feet. If Ava decides to triple the height of the slide, we can multiply the original height by 3:

New slide height = Original slide height x 3
= 24 x 3
= 72 feet

### Answer: 72 feet

Expected answer: 72

Correct? Yes

Problem: In the previous problem, Ava was initially considering a slide double her height when she was 12 feet tall. However, let's say Ava is actually 11 feet tall. In that case, how high would the slide be if it was still double her height?

Llama 3 8B:

Reasoning: Since the slide is double Ava's height, we can set up an equation: Slide height = 2 x Ava's height
Ava's height is now given as 11 feet, so we can substitute this value into the equation: Slide height = 2 x 11
Slide height = 22 feet
### Answer: 22 feet

Expected answer: 22

Correct? Yes

Problem: What if the tap was turned on for 7 minutes instead of 9 minutes? How much water would the tap fill in the tank in that case?

Llama 3 8B:

Reasoning: The tap fills the tank at a rate of 2 liters per minute. To find the total amount of water in the tank after 7 minutes, we need to multiply the rate by the time.

2 liters/minute x 7 minutes = 14 liters

### Answer: 14 liters

Expected answer: 14

Correct? Yes

Problem: Fred received 11 letters in one week instead of 12. If he still reads them evenly over 3 days, how many letters does he read per day now?

Llama 3 8B:

Reasoning: Fred received 11 letters in one week, which means he received 11/7 = 1.57 letters per day (approximately).
Since he reads them evenly over 3 days, we can divide the total number of letters by 3 to find the number of letters he reads per day: 11 ÷ 3 = 3.67.
### Answer: 3.67

Expected answer: 11/3

Correct? No

Problem: After the shifts mentioned in the previous problem, the toy car factory decides to change its production rate. Now, instead of producing 8 cars per hour as before, it produces 5 cars per hour. If the factory continues to run for 12 hours a day, how many cars will it produce in one day now?

Llama 3 8B:

Reasoning: The factory produces 5 cars every hour. Since it runs for 12 hours a day, it will produce 5 x 12 = <<5*12=60>>60 cars in one day.
### Answer: 60

Expected answer: 60

Correct? Yes

Problem: If instead Baby Lily originally got 44 toys but this time, she divided them evenly among her 11 friends, each friend would get 'i' number of toys. If we multiply 'i' by 5, how many toys would that represent?

Llama 3 8B:

Reasoning: If Baby Lily divides 44 toys evenly among 11 friends, each friend would get 44/11 = 4 toys.
If we multiply 'i' by 5, we are multiplying the number of toys each friend gets by 5. So, 4 × 5 = 20.
### Answer: 20

Expected answer: 20

Correct? Yes

Problem: If each of Mike's children decided to save the money they received from their father every month for a year, how much money would each child have saved by the end of the year?

Llama 3 8B:

Reasoning: Each child received $3 initially. If they save this amount every month for a year, they will save a total of:

$3 x 12 = $36

So each child will have saved $36 by the end of the year.

### Answer: $36

Expected answer: 36

Correct? Yes

Problem: If Mike had $11 instead of $9 and he still decided to divide it equally among his 3 children, how much money would each child receive now?

Llama 3 8B:

Reasoning: Since Mike now has $11 and he still wants to divide it equally among his 3 children, we can divide the new total amount of money ($11) by the number of children (3).

$11 ÷ 3 = $3.67

So each child would receive $3.67.

### Answer: $3.67

Expected answer: 11/3

Correct? No

Problem: If instead the cow produced 72 liters of milk in 10 days, and you still wanted to find out how much milk it would produce in 12 days, how much would that be?

Llama 3 8B:

Reasoning: To find out how much milk the cow produces in a day, we need to divide the total amount of milk produced in 10 days by 10.
72 liters / 10 days = 7.2 liters/day
Now, we need to find out how much milk the cow would produce in 2 additional days (12 - 10 = 2 days).
7.2 liters/day * 2 days = 14.4 liters
Adding this to the total amount of milk produced in 10 days, we get:
72 liters + 14.4 liters = 86.4 liters
### Answer: 86.4 liters

Expected answer: 432/5

Correct? No

Problem: If the truck with all the tires fully loaded is carrying cargo weighing the same as the total load the tires can handle, what would be the total weight being carried by the truck?

Llama 3 8B:

Reasoning: Since the truck can carry a total load of 64 tons, and each tire can carry a load of 8 tons, the total weight being carried by the truck is the same as the total load the tires can handle, which is 64 tons.

### Answer: 64

Expected answer: 64

Correct? Yes

Problem: In the previous scenario, each tire was capable of carrying a load of 8 tons. But what if each tire was only capable of carrying a load of 3 tons? How much total load could the truck carry then when all tires are fully loaded?

Llama 3 8B:

Reasoning: Since the truck has 8 tires, and each tire can carry a load of 3 tons, the total load that the truck can carry is the product of the number of tires and the load per tire.
8 tires x 3 tons/tire = 8 x 3 = 24 tons
### Answer: 24

Expected answer: 24

Correct? Yes

Problem: If instead you started with just 1 fruit, how many cups of juice would you be able to make?

Llama 3 8B:

Reasoning: Since each fruit provides 1 cup of juice, and you have 1 fruit, you can multiply the number of fruits by the amount of juice each fruit provides to get the total amount of juice.

1 fruit x 1 cup/fruit = 1 cup

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: Sara decided to duplicate her complete set of colored pencils and she bought exactly the same amount as she had. Now, how many colored pencils does Sara have in total?

Llama 3 8B:

Reasoning: Sara already had 25 colored pencils. She duplicated her set, which means she added the same amount again. So, she added 25 more pencils to her original set. To find the new total, we add the original amount to the amount she added: 25 + 25 = 50 pencils.
### Answer: 50

Expected answer: 50

Correct? Yes

Problem: Sara suddenly realized that she had miscalculated; she actually has 11 of each type of colored pencil, not 5. With this correction, how many colored pencils does Sara really have?

Llama 3 8B:

Reasoning: Sara has 5 colors, and for each color, she has 11 pencils. To find the total number of pencils, we multiply the number of colors by the number of pencils for each color: 5 colors x 11 pencils/color = 5 x 11 = 55 pencils.
### Answer: 55

Expected answer: 55

Correct? Yes

Problem: You have decided to play 8 rounds of the same game. If you continue to use the same 12-letter word in each round, how many points will you accumulate in total from all the rounds?

Llama 3 8B:

Reasoning: Since you are using the same 12-letter word in each round, and each letter corresponds to 1 point, the total number of points in each round is 12.

To find the total number of points accumulated in all 8 rounds, multiply the number of points in each round by the number of rounds:

12 points/round × 8 rounds = 96 points

### Answer: 96

Expected answer: 96

Correct? Yes

Problem: You decide to change your strategy in the next game and instead use a 9-letter word. If each letter still corresponds to 1 point, how many points will you get in this game?

Llama 3 8B:

Reasoning: Since each letter corresponds to 1 point, and the word has 9 letters, the total number of points is equal to the number of letters, which is 9.

### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Jake decided to not drink any of the water just yet and stored all the bottles in his garage. After leaving the bottles in the garage untouched, how many bottles does Jake still have?

Llama 3 8B:

Reasoning: Jake still has the same number of bottles, 49, as he didn't drink any of them and they are still stored in his garage.
### Answer: 49

Expected answer: 49

Correct? Yes

Problem: Considering from the previous question, what if each piano only had 3 legs instead of 4. With 2 pianos in the music room, how many legs would there be in total?

Llama 3 8B:

Reasoning: Each piano has 3 legs, and there are 2 pianos. To find the total number of legs, we multiply the number of pianos by the number of legs each piano has: 2 x 3 = 6.
### Answer: 6

Expected answer: 6

Correct? Yes

Problem: Following the previous scenario, if there are 11 keyrings in total, how many keys does each person get?

Llama 3 8B:

Reasoning: Since each keyring holds 2 keys, the total number of keys is 11 x 2 = 22 keys.
Since each keyring must be split between two people, the total number of people is 11 (keyrings) / 2 = 5.5 people (since you can't split a keyring between a fraction of a person, we round down to 5 people).
Each person will get 22 keys / 5 people = 4.4 keys (but since you can't give a fraction of a key, we round down to 4 keys).
### Answer: 4

Expected answer: 11

Correct? No

Problem: In the previous scenario, suppose now that each keyring holds 3 keys, but still has to be split amongst two people. How many keys does each person get now?

Llama 3 8B:

Reasoning: Since each keyring holds 3 keys, and each keyring must be split between two people, each person will get 3/2 = 1.5 keys. Since you can't divide keys into halves, we can round down to 1 key per person.
### Answer: 1

Expected answer: 3/2

Correct? No

Problem: Javier decided to pack more bottles into his crates. Now, each crate contains 8 bottles instead of 6. How many bottles does Javier have now with his 9 crates?

Llama 3 8B:

Reasoning: Javier still has 9 crates, but now each crate contains 8 bottles instead of 6. To find the total number of bottles, we multiply the number of crates by the new number of bottles per crate: 9 x 8 = 72.

### Answer: 72

Expected answer: 72

Correct? Yes

Problem: Following the previous question: if the exchange rate changes and now 1 euro equals 1 dollar, how much will the shirt cost in dollars now?

Llama 3 8B:

Reasoning: Since the exchange rate has changed and now 1 euro equals 1 dollar, we can directly convert the price of the shirt from euros to dollars. The shirt costs 10 euros, so it still costs 10 dollars.
### Answer: 10

Expected answer: 10

Correct? Yes

Problem: After the price changes, the shirt now costs 9 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros now?

Llama 3 8B:

Reasoning: Since the price of the shirt has decreased by 1 dollar, it now costs 9 dollars. Since 1 dollar equals 1 euro, we can directly convert the new price of the shirt from dollars to euros. The shirt now costs 9 dollars, so it costs 9 euros.
### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Suppose the original size of the beach ball was actually 5 feet in diameter, not 3 feet as previously stated. If it is still being blown up to be twice its original size, what will be the diameter of the beach ball after it is blown up now?

Llama 3 8B:

Reasoning: The diameter of the beach ball will increase by a factor of 2, from 5 feet to 2 x 5 = 10 feet.
### Answer: 10 feet

Expected answer: 10

Correct? Yes

Problem: The farmer then decides to combine all the tomatoes from the 4 boxes back into one large container. How many tomatoes will there be in the large container?

Llama 3 8B:

Reasoning: Since the farmer combined all the tomatoes from the 4 boxes, we need to add the number of tomatoes in each box to find the total number of tomatoes in the large container.

Each box had 6 tomatoes, and there were 4 boxes, so:

6 x 4 = 24

The farmer started with 24 tomatoes and combined them all into one large container, so there will still be 24 tomatoes in the large container.

### Answer: 24

Expected answer: 24

Correct? Yes

Problem: In a different scenario, if the farmer had decided to equally divide the 24 tomatoes between only 2 boxes instead of 4, how many tomatoes would have been in each box then?

Llama 3 8B:

Reasoning: To find the number of tomatoes in each box, we need to divide the total number of tomatoes (24) by the number of boxes (2).

24 ÷ 2 = 12

So, there would have been 12 tomatoes in each box if the farmer had decided to equally divide the 24 tomatoes between only 2 boxes.

### Answer: 12

Expected answer: 12

Correct? Yes

Problem: In the previous situation, John multiplied the distance he traveled with 6. But this time, he decides to ride his scooter for a bit longer. Instead of multiplying by 6, he now multiplies the same initial half of 16, distance "B", by 8 to find out the new total distance "X" he traveled back and forth. What is the new total distance "X" he traveled?

Llama 3 8B:

Reasoning: John travels a certain distance "B" which is half of 16, so B = 16/2 = 8.
He multiplies the distance "B" he traveled with 8 to find out the new total distance "X" he traveled back and forth, so X = 8 * 8 = 64.
### Answer: 64

Expected answer: 64

Correct? Yes

Problem: Now, imagine Lisa spent 5 days over the course of a week doing the same routine of watching 2 episodes back-to-back of her favorite TV show, which is 8 minutes per episode. How long in total did she spend watching her TV show over those 5 days?

Llama 3 8B:

Reasoning: Lisa watched 2 episodes per day, and each episode is 8 minutes long. To find the total time per day, we multiply the number of episodes by the length of each episode: 2 x 8 = 16 minutes.
Since Lisa did this routine for 5 days, we multiply the time per day by the number of days: 16 x 5 = 80.
### Answer: 80

Expected answer: 80

Correct? Yes

Problem: In a twist, one day Lisa decided to watch a different TV show, which is 12 minutes long per episode. If she watches 2 episodes of this show back-to-back without any breaks, how long will she be watching this different TV show in total?

Llama 3 8B:

Reasoning: Lisa will be watching 2 episodes, and each episode is 12 minutes long. To find the total time, we multiply the number of episodes by the length of each episode: 2 x 12 = 24.
### Answer: 24

Expected answer: 24

Correct? Yes

Problem: Consider the starting point of the previous problem where Jane had 1 blanket and John had 3 times as many blankets as Jane. Now, suppose that Jane initially has 6 blankets instead of 1. In this new scenario, how many blankets does John have initially?

Llama 3 8B:

Reasoning: Since John has 3 times as many blankets as Jane, and Jane has 6 blankets, John has 3 x 6 = <<3 x 6=18>>18 blankets.
### Answer: 18

Expected answer: 18

Correct? Yes

Problem: If John originally had $10 instead of $28, and he still wanted to divide it equally among his 7 children, how much would each child receive now?

Llama 3 8B:

Reasoning: Since John now has $10, we can divide it by the number of children (7) to find out how much each child will receive.

$10 ÷ 7 = $1.43

### Answer: $1.43

Expected answer: 10/7

Correct? No

Problem: Continuing from the previous situation, after selling 1 scooter a day for 8 days, Kate decides to hold a grand sale for 8 more days where she sells the same number of scooters she sold in the previous 8 days every day. How many additional scooters will she sell during this grand sale?

Llama 3 8B:

Reasoning: Kate sold 8 scooters in the previous 8 days, and she wants to know how many scooters she will sell during the grand sale.
Since she sells the same number of scooters every day during the grand sale, she will sell 8 scooters per day for 8 days.
To find the total number of scooters she will sell during the grand sale, we can multiply the number of scooters she sells per day (8) by the number of days (8).
8 x 8 = 64
### Answer: 64

Expected answer: 64

Correct? Yes

Problem: Let's revise the original situation. Instead of selling 1 scooter a day, let's say Kate was actually selling 7 scooters a day for 8 days. How many scooters did she sell in this period?

Llama 3 8B:

Reasoning: Kate sells 7 scooters every day, and she wants to know how many scooters she will sell after 8 days.
To find the answer, we can multiply the number of scooters she sells per day (7) by the number of days (8).
7 x 8 = 56
### Answer: 56

Expected answer: 56

Correct? Yes

Problem: Now imagine that the tree actually produces 12 seeds each year instead of 10. How many seeds does the tree produce in 1 year?

Llama 3 8B:

Reasoning: The tree produces 12 seeds each year, and we are asked to find the number of seeds produced in 1 year. Since the time period is 1 year, the answer is simply the number of seeds produced each year, which is 12.

### Answer: 12

Expected answer: 12

Correct? Yes

Problem: Following the same scenario where the friends were divided into groups, if each group decided to buy 7 pizzas, how many pizzas would be bought in total?

Llama 3 8B:

Reasoning: Since there are 4 groups, and each group buys 7 pizzas, we can multiply the number of groups by the number of pizzas each group buys:

4 groups × 7 pizzas/group = 28 pizzas

So, a total of 28 pizzas would be bought.

### Answer: 28

Expected answer: 28

Correct? Yes

Problem: Continuing from our previous scenario, let's say that instead of having 12 friends, there were actually only 6 friends to begin with. If they still want to divide themselves into groups with 3 friends each, how many group will there be?

Llama 3 8B:

Reasoning: To find the number of groups, we need to divide the total number of friends (6) by the number of friends in each group (3).

6 ÷ 3 = 2

So, there will be 2 groups of 3 friends each.

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: Continuing from the previous situation, Emma and her friends decide to make their sandcastles stronger. They pour a layer of seawater on each shovel used in their sandcastles. If each shovel full of sand requires 1 bottle of seawater, how many bottles of seawater will they need in total?

Llama 3 8B:

Reasoning: They used 72 shovels of sand in total, and they pour a layer of seawater on each shovel. So, they need 72 bottles of seawater.
### Answer: 72

Expected answer: 72

Correct? Yes

Problem: Following the previous situation with Emma and her friends building sandcastles, imagine that they had originally started with 5 sandcastles instead of 6. Each of these 5 sandcastles still uses 4 buckets of sand and each of these buckets contains 3 shovels of sand. How many shovels of sand would they have used then?

Llama 3 8B:

Reasoning: Each sandcastle uses 4 buckets of sand, and they build 5 sandcastles. So, they use 4 x 5 = 20 buckets of sand.
Each bucket of sand has 3 shovels full of sand in it. So, they use 20 x 3 = 60 shovels of sand in total.
### Answer: 60

Expected answer: 60

Correct? Yes

Problem: After reconsidering, Jenna decided to only make 7 bracelets instead of 8. Now, how many beads will Jenna need to make the bracelets?

Llama 3 8B:

Reasoning: Since Jenna is now making 7 bracelets instead of 8, we need to adjust the calculation. Each bracelet requires 12 beads, and Jenna has to make 7 bracelets. To find the total number of beads needed, we multiply the number of bracelets by the number of beads per bracelet: 7 x 12 = 84.
### Answer: 84

Expected answer: 84

Correct? Yes

Problem: If Penny started using 9 milliliters of toothpaste for each brushing instead of 11, how many times could she brush her teeth with the new tube of toothpaste?

Llama 3 8B:

Reasoning: Penny has 66 milliliters of toothpaste initially.
She uses 9 milliliters for each brushing.
To find out how many times she can brush her teeth, we can divide the initial amount of toothpaste by the amount used per brushing:
66 ÷ 9 = <<66/9=7.33>>7.33
Since you can't brush a fraction of a time, we round down to the nearest whole number:
7.33 → 7
### Answer: 7

Expected answer: 22/3

Correct? No

Problem: If Vanessa only had 4 bunches of grapes and each bunch had 5 grapes instead of 11, how many grapes would Vanessa have in total then?

Llama 3 8B:

Reasoning: Vanessa has 4 bunches of grapes, and each bunch has 5 grapes. To find the total number of grapes, we multiply the number of bunches by the number of grapes in each bunch: 4 x 5 = 20.

### Answer: 20

Expected answer: 20

Correct? Yes

Problem: Mary used her 6 yards of fabric to make a skirt. Each skirt she makes, requires 6 yards of fabric. She decides to make as many skirts as skirts she already made (i.e., she wants to multiply the number of skirts by the number of skirts she already made). How many skirts will Mary have made in total?

Llama 3 8B:

Reasoning: Mary already made 1 skirt, and she wants to multiply the number of skirts she already made (1) by the number of skirts she already made (1). This means she wants to multiply 1 by 1, which gives us:

1 × 1 = 1

So, Mary will still have made only 1 skirt.

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: Mary now has a new length of fabric that's 7 yards long. Keeping in mind that each skirt requires 6 yards of fabric, how many skirts can Mary make with the new fabric she has?

Llama 3 8B:

Reasoning: Mary has 7 yards of fabric, and each skirt requires 6 yards of fabric. To find out how many skirts she can make, we can divide the total amount of fabric she has (7 yards) by the amount of fabric needed for one skirt (6 yards).

7 yards (fabric) ÷ 6 yards (per skirt) = 1.17 skirts

Since Mary can't make a fraction of a skirt, we'll round down to the nearest whole number. Therefore, Mary can make 1 skirt with the new fabric she has.

### Answer: 1

Expected answer: 7/6

Correct? No

Problem: In the previous problem, the drummer was hitting his drum 11 times per minute. But what if his rhythm slows down and he now hits the drum only 2 times per minute. How many times will he hit the drum in 8 minutes then?

Llama 3 8B:

Reasoning: The drummer hits the drum 2 times per minute. To find the total number of times he hits the drum in 8 minutes, we multiply the number of times he hits the drum per minute by the number of minutes:

2 times/minute × 8 minutes = 16

### Answer: 16

Expected answer: 16

Correct? Yes

Problem: Now, John is reconsidering his packing strategy. Instead of packing two pairs of socks per pair of pants, he thinks he only needs to pack two socks for every pair of pants. If he sticks to this new strategy, how many pairs of pants should he pack for his 4 pairs of socks?

Llama 3 8B:

Reasoning: Since John only needs 2 socks for every pair of pants, the number of pairs of pants is equal to the number of pairs of socks divided by 2.
Let's divide the number of pairs of socks by 2: 4/2 = 2.
### Answer: 2

Expected answer: 2

Correct? Yes

Problem: If, instead of 8 pens per pack, there were 6 pens per pack, how many pens would John have in total with his 5 packs?

Llama 3 8B:

Reasoning: Each pack contains 6 pens, and John has 5 packs.
To find the total number of pens, we multiply the number of packs by the number of pens per pack: 5 x 6 = <<5 x 6=30>>30.
### Answer: 30

Expected answer: 30

Correct? Yes

Problem: Suppose there are more guards available and Captain Blackbeard decided to split the total time into 12 shifts instead of 6. How many hours will each guard now have to protect the ship under this new arrangement?

Llama 3 8B:

Reasoning: Captain Blackbeard's pirate ship still sailed for 60 hours.
He divided the total hours equally among the 12 shifts.
To find the number of hours each shift will have, we divide 60 by 12: 60/12 = 5.
### Answer: 5

Expected answer: 5

Correct? Yes

Problem: Going further from the previous problem, John now realizes he needs twice as much rope! How much will it cost him to buy 12 meters of rope in all?

Llama 3 8B:

Reasoning: Since John needs 12 meters of rope, and each meter costs $5, the total cost can be calculated by multiplying the length of the rope (12 meters) by the cost per meter ($5).

12 meters x $5 per meter = $60

### Answer: $60

Expected answer: 60

Correct? Yes

Problem: After considering his needs again, John realized that he actually needs 7 meters of rope, not 6. How much will it cost him to buy this new length of rope?

Llama 3 8B:

Reasoning: Since every meter of the rope costs $5, the cost of a 7-meter long rope can be calculated by multiplying the length of the rope (7 meters) by the cost per meter ($5).

7 meters x $5 per meter = $35

### Answer: $35

Expected answer: 35

Correct? Yes

Problem: In the previous scenario, Amelia was distributing gifts among 7 of her friends. But what if Amelia instead planned to distribute her 42 gifts equally among only 6 friends instead? How many gifts would each friend receive in this case?

Llama 3 8B:

Reasoning: To find out how many gifts each friend will receive, we need to divide the total number of gifts (42) by the number of friends (6).

42 ÷ 6 = 7

So, each friend will receive 7 gifts.

### Answer: 7

Expected answer: 7

Correct? Yes

Problem: If the mother bear had only 40 honey pots and wanted to evenly distribute them among her 10 cubs instead, how many honey pots would each cub receive now?

Llama 3 8B:

Reasoning: To find out how many honey pots each cub will receive, we need to divide the total number of honey pots (40) by the number of cubs (10).

40 ÷ 10 = 4

Each cub will receive 4 honey pots.

### Answer: 4

Expected answer: 4

Correct? Yes

Problem: In the previous situation, what if instead of eating 4kg of food per hour, the elephant ate only 3kg of food per hour? How much food would the elephant eat in 4 hours then?

Llama 3 8B:

Reasoning: The elephant eats 3kg of food per hour. To find out how much food it will eat in 4 hours, we need to multiply the amount of food it eats per hour by the number of hours.

3 kg/hour x 4 hours = 3 x 4 = 12 kg

### Answer: 12 kg

Expected answer: 12

Correct? Yes

Problem: In addition to the 3-headed dragon, another dragon of the same kind joins it. Between the two dragons, how many eyes are there in total?

Llama 3 8B:

Reasoning: We already know that one dragon has 24 eyes. Since another dragon of the same kind joins it, it also has 24 eyes. To find the total number of eyes, we add the number of eyes of both dragons:

24 eyes (from the first dragon) + 24 eyes (from the second dragon) = 24 + 24 = 48

### Answer: 48

Expected answer: 48

Correct? Yes

Problem: Suppose that each dragon instead had 11 eyes per head, not 8. How many eyes would one three-headed dragon have then?

Llama 3 8B:

Reasoning: Since the dragon has 3 heads, and each head has 11 eyes, we can multiply the number of heads by the number of eyes per head to find the total number of eyes.

3 heads x 11 eyes/head = 3 x 11 = 33

### Answer: 33

Expected answer: 33

Correct? Yes

Problem: Following from the last problem, Charlie then takes the amount of chocolates he has and decides to multiply it by 9 for a birthday party. How many chocolates does Charlie have now?

Llama 3 8B:

Reasoning: Charlie has 4 chocolates and decides to multiply it by 9 for a birthday party. 4 x 9 = 36, so he now has 36 chocolates.
### Answer: 36

Expected answer: 36

Correct? Yes

Problem: Following from the previous problems, let's consider a new scenario. This time, suppose Charlie only had 2 chocolates and again decided to share half of them with his sister. Then, he counts his remaining chocolates and decides to double the amount. How many chocolates does Charlie have now in this scenario?

Llama 3 8B:

Reasoning: Charlie has 2 chocolates initially and decides to share half of them with his sister. Half of 2 is 2/2 = 1, so he gives 1 chocolate to his sister. He is left with 2 - 1 = 1 chocolate.
Then, he decides to double the amount, which means he will multiply the remaining chocolates by 2. 1 x 2 = 2, so he now has 2 chocolates.
### Answer: 2

Expected answer: 2

Correct? Yes

Problem: Suppose the number of walls in the castle was incorrectly counted before, and there are actually 10 walls instead of 6. If the castle still has a total of 36 towers, how many towers would be on each wall in that case?

Llama 3 8B:

Reasoning: Since the total number of towers remains the same (36), we can still divide it by the new number of walls (10) to find the number of towers on each wall:

36 ÷ 10 = 3.6

Since you can't have a fraction of a tower, we round down to the nearest whole number:

3.6 → 3

So, there would be 3 towers on each wall if the castle actually has 10 walls.

### Answer: 3

Expected answer: 18/5

Correct? No