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 70B:

Reasoning: For each 1 meter of sliding, Isaac gains 5 times the speed. Since he slides down 1 meter, he gains 1 x 5 = 5 times the speed.
### Answer: 5

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 70B:

Reasoning: The fuel needed for the third rocket is the product of the mass of the rocket and 5. 
So, the fuel needed is 8 × 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 70B:

Reasoning: Theresa planted 8 seeds in each plot, and she wants to give 7 gift bags each containing 8 seeds.
To find the total number of seeds needed for the gift bags, multiply the number of seeds per bag by the number of bags: 8 seeds/bag × 7 bags = 56 seeds.
### 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 70B:

Reasoning: Theresa divided the 80 seeds evenly between only 2 plots, so each plot received 80 ÷ 2 = 40 seeds.
If she later planted an extra plot with the same amount of seeds as in each of the new plots, she used 40 seeds for the extra plot.
### 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 70B:

Reasoning: The problem states that each section of the dress requires 6 yards of fabric. Therefore, to make 1 section of the dress, 6 yards of fabric are needed.

### 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 70B:

Reasoning: Captain Blackbeard initially buries 11 treasure chests in the cave. If the magical spell doubles the amount of treasure chests, we multiply 11 by 2 to get 11 × 2 = 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 70B:

Let's assume the baby giraffe is initially 0 feet tall (at birth). Since it grows 4 feet every year, after 7 years, it would have grown a total of:

4 feet/year × 7 years = 28 feet

So, the giraffe would be 28 feet tall after 7 years.

### Answer: 28 feet

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 70B:

Reasoning: Pete has 4 pieces of rope, and each piece is 8 feet long. To find the total length of rope, we can multiply the number of pieces by the length of each piece: 4 x 8 = 32.
### 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 70B:

Reasoning: Pete has 12 pieces of rope, and each piece is 8 feet long. To find the total length of rope, we can multiply the number of pieces by the length of each piece: 12 x 8 = 96.
### 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 70B:

Reasoning: To find the number of starfish in each tank, we need to divide the total number of starfish (12) by the number of tanks (9).

12 ÷ 9 = 1 with a remainder of 3

Since we can't have a fraction of a starfish, we can say that 1 starfish will be placed in each tank, and 3 starfish will be left over.

### Answer: 1

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 70B:

Reasoning: Lisa found 2 toys on the second day. The exact square of 2 is 2^2 = 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 70B:

Reasoning: Lisa found 1 toy on the first day. Since she finds ten times as many toys every next day, she will find 1 x 10 = 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 70B:

Reasoning: The robot's new processing speed is 1 microsecond. To calculate its efficiency rate, we need to multiply this speed by itself.

Efficiency rate = 1 microsecond × 1 microsecond
= 1 microsecond²

### Answer: 1 microsecond²

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 70B:

Reasoning: The robot can process information in 12 microseconds, but it needs to be divided by 11 to match the system's speed. To find the time it takes to match the system's speed, we can divide 12 microseconds by 11.

12 microseconds ÷ 11 = 1.09 microseconds (approximately)

### Answer: 1.09 microseconds

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 70B:

Reasoning: Nina will produce 18 tomatoes in total. Each tomato will produce 3 new seeds, so the total number of new seeds will be: 18 tomatoes x 3 seeds/tomato = 18 x 3 = 54 seeds. Since each seed can grow into a new tomato plant, Nina can potentially grow 54 new tomato plants.
### 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 70B:

Reasoning: The alien can transmit each word 11 times per minute. Since they learned two words, they can transmit the first word 11 times and the second word 11 times. The total number of transmissions is 11 + 11 = 22.
### 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 70B:

Reasoning: The alien can transmit each word 3 times per minute. If they learn a new word, they can transmit it 3 times in 1 minute.
### 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 70B:

Reasoning: Since the unicorn travels 5 miles per hour, we can multiply its speed by the time (3 hours) to find the distance it would travel:

Distance = Speed × Time
= 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 70B:

Reasoning: To find the distance traveled by the unicorn in one hour, we need to divide the total distance traveled (35 miles) by the time taken (2 hours).

Distance per hour = Total distance ÷ Time taken
= 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 70B:

We already know that Jetstream's strength is 15x.

Since Spectra has 5 times the strength of Jetstream, 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 70B:

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 70B:

Reasoning: If the original design requires 6 beads, and the new design requires 8 times as many beads, then Jason would need 6 x 8 = 48 beads to create the new necklace.

### 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 70B:

Reasoning: We already know the previous code is 6, which was obtained by multiplying 2 by 3. Now, we need to multiply 6 by 12 to get the final secret code:

6 × 12 = 72

So, the final secret code to complete the puzzle 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 70B:

Reasoning: To solve this new puzzle, we need to multiply 2 by 7, which gives us:

2 × 7 = 14

So, the number we get by following this new instruction is 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 70B:

Reasoning: Since Peter put all the money from the one wallet into the piggy bank, the amount of money in the piggy bank will be the same as the amount of money in the one wallet, which is 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 70B:

Reasoning: Peter has 6 wallets, each with 12 dollars. To find the total amount of money, we can 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 70B:

Reasoning: If the butterfly flaps its wings 9 times in 1 second, it will flap its wings 9 x 4 = 36 times in 4 seconds.
### 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 70B:

Reasoning: The plane travels at a constant speed of 11 miles per minute. To find the distance it would cover in 6 minutes, we can multiply the speed by the time: 
Distance = Speed x Time 
= 11 miles/minute x 6 minutes 
= 11 x 6 
= 66 miles 

### Answer: 66 miles

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 70B:

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).

We can do this by dividing 9 by 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 70B:

Reasoning: Billy initially had 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 70B:

Reasoning: Billy actually has 11 sets of kites, and each set contains 9 kites. To find the total number of kites, we can multiply the 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 70B:

Reasoning: The outcome from the previous spell was 16. 
The magical creature multiplied 16 by 5, so the new number 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 70B:

Reasoning: If the magical creature had initially started with the number 11 and multiplied it by 4, the outcome would be the product of 11 and 4.
So, the outcome of the first spell would be 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 70B:

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

27 ÷ 12 = 2 with a remainder of 3

Since we can't have a fraction of a chair, each room will have 2 chairs, and there will be 3 chairs left over.

### 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 70B:

Reasoning: Since the store is distributing 8 toy cars uniformly over 8 shelves, each shelf would have:

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 70B:

Reasoning: We already calculated that it takes 54 minutes to make 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 make the special pizza.
### Answer: 54 minutes.

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 70B:

Reasoning: Since a full pizza has 3 slices, the restaurant wants to make 3 x 3 = 9 slices of pizza.
Each slice takes 1 minute to cook, so the total time it will take is 9 x 1 = 9 minutes.
### Answer: 9 minutes.

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 70B:

Reasoning: Arthur drives 2 hours each day, so in 4 days, he drives a total of 2 x 4 = 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 70B:

Reasoning: We already know that one blanket requires 30 yards of yarn. To make two blankets, we need to multiply the number of yards required for one blanket by 2: 30 yards/blanket × 2 blankets = 60 yards.

### 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 70B:

Reasoning: Each section of the blanket requires 6 yards of yarn. Since each finished blanket is now made up of 12 sections, we need to multiply the number of yards required per section by the number of sections: 6 yards/section × 12 sections = 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 70B:

Reasoning: To find the distance traveled, we can multiply the speed of the bus by the time it travels. In this case, the bus travels at a speed of 10 miles per hour, and it travels for 6 hours. So, we can multiply 10 miles/hour by 6 hours to get the total distance traveled.

Distance = Speed x Time
= 10 miles/hour x 6 hours
= 60 miles

### Answer: 60 miles

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 70B:

Reasoning: Starlight's initial power level is the product of multiplying 3 by 5, which is 3 × 5 = 15.
After the power-up training, her power level increases by three times, so we multiply her initial power level by 3:
15 × 3 = 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 70B:

Reasoning: To find Starlight's initial power level in this scenario, we need to multiply 3 by 6.
3 × 6 = 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 70B:

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. 
So, the area of one side of Jessica's backpack is 4 inches x 4 inches = 16 square inches.
### Answer: 16 square inches.

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 70B:

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

36 ÷ 7 = 5.14 (but we can't divide doubloons into fractions, so we'll round down to the nearest whole number)

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 70B:

Reasoning: The factory is currently producing 10 robots per hour. If it multiplies this new hourly output by the original amount (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 70B:

Reasoning: The factory currently produces 5 robots per hour. If it increases its output to six times the original amount, it will produce 6 x 5 = 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 70B:

Reasoning: The radius of the bike wheel is 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 70B:

Reasoning: Jamie swings 11 times in every minute. 
He continued swinging for 3 more minutes, so he swung 11 x 3 = 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 70B:

Reasoning: Jamie swung 6 times per minute, and he swung for 1 minute.
So, the total number of times Jamie swung in that minute is 6 x 1 = 6.
### 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 70B:

Reasoning: James initially had 9 robot toys. He then bought 5 more sets of 9 toys each, which means he bought 5 x 9 = 45 more robot toys. To find the total number of robot toys James has now, we add the number of robot toys he already had to the number of robot toys he bought: 9 + 45 = 54.
### 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 70B:

Reasoning: We already know that the chickens lay 77 eggs in a week. If the farmer sells each egg for $1, we can multiply the number of eggs by the price per egg to find the total amount of money the farmer makes.

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

### 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 70B:

Reasoning: Since each chicken lays 7 eggs in a week, and there are 2 chickens, we can multiply the number of chickens by the number of eggs each chicken lays to find the total number of eggs.

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

### 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 70B:

Reasoning: The tree grows 4 cm each day, and half of that overnight, which is 4/2 = 2 cm. If this overnight growth is multiplied by 10, the final growth of the tree over these 10 nights is 2 x 10 = 20 cm.
### Answer: 20

Expected answer: 20

Correct? Yes

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 70B:

Reasoning: The tree grows 10 centimeters each day. If it grows half of this amount each night, it grows 10/2 = 5 centimeters overnight.
### 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 70B:

Reasoning: The scientist realized that she had counted the mice twice, so to find the actual number of mice, she divided the original number (77) by 2.

77 ÷ 2 = 38.5

Since you can't have a fraction of a mouse, we'll round down to the nearest whole number.

### Answer: 38

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 70B:

Reasoning: Sally needs 35 beads for a display of 5 earrings, so to find the number of beads needed for 1 earring, she divides 35 by 5: 35 ÷ 5 = 7 beads per earring.
To make 2 earrings, Sally needs 7 × 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 70B:

Reasoning: Since Brenda wants to divide the apples equally among her 2 closest friends, we can divide the total number of apples (9) by the number of friends (2).

9 ÷ 2 = 4.5

Since we can't divide an apple into fractions, each friend will receive 4 apples and there will be 1 apple left over.
### Answer: 4

Expected answer: 9/2

Correct? No

Problem: After completing his daring stunt, the tightrope walker decides to challenge himself further and wants to perform the same stunt on a tightrope that's only 1 foot off the ground. Now, how far would he need to walk considering the tightrope is still five times the height above the ground?

Llama 3 70B:

Reasoning: The tightrope is 1 foot off the ground, and it is 5 times the height above the ground. So, the length of the tightrope is 1 x 5 = 5 feet.
### Answer: 5

Expected answer: 5

Correct? Yes

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 70B:

Reasoning: The length of one side of the square is 30 ÷ 6 = 5.
The area of the square is side × side = 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 70B:

Reasoning: The length of one side of the square is 12 ÷ 6 = 2.
The area of the square is side × side = 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 70B:

Reasoning: The star still emits 7 particles every second, but now it only emits particles for 5 seconds. To find the total number of particles emitted, we can multiply the number of particles emitted per second by the number of seconds: 7 particles/second × 5 seconds = 7 × 5 = 35 particles.

### 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 70B:

Reasoning: The factory can create 24 shoes in 3 hours, so the rate of production is 24/3 = 8 shoes per hour.
If the factory runs for 10 hours, it will produce 8 x 10 = 80 shoes.
### 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 70B:

Reasoning: Since the butterfly lives for 5 days in each week, and there are 7 weeks, we can multiply the number of days it lives in a week by the number of weeks to find the total number of days it lives in the 7-week span.

5 days/week × 7 weeks = 5 × 7 = 35 days

### 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 70B:

Reasoning: One ordinary mushroom provides food for 11 fairies for a day. 
A magic mushroom can provide food as 4 ordinary mushrooms, so it can feed 4 x 11 = 44 fairies for a day.
### 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 70B:

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

Distance = Rate × Time
= 4 km/h × 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 70B:

Reasoning: We already know the height of the original slide is 24 feet, which is double Ava's height. To triple the height of the original slide, we multiply it by 3.
New height of slide = 3 × Original height of slide
= 3 × 24
= 72
### 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 70B:

Reasoning: Since the slide is double the height of Ava, we can multiply Ava's new height by 2 to find the height of the slide.
Height of slide = 2 × Ava's height
= 2 × 11
= 22
### 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 70B:

Reasoning: The tap fills the tank at a rate of 2 liters per minute. To find out how much water will be in the tank after 7 minutes, we can multiply the rate by the time: 2 liters/minute × 7 minutes = 2 × 7 = 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 70B:

Reasoning: Fred received 11 letters in total. He wants to read them evenly over 3 days. To find out how many letters he reads per day, we can divide the total number of letters by the number of days: 11 ÷ 3 = 3 with a remainder of 2. Since we can't read a fraction of a letter, we can say he reads 3 letters per day, with 2 letters left over.

### Answer: 3

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 70B:

Reasoning: The factory now produces 5 cars every hour. Since it runs for 12 hours a day, the total number of cars produced in one day is 5 x 12 = 60.
### 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 70B:

Reasoning: If 44 toys are divided evenly among 11 friends, each friend would get 44 ÷ 11 = 4 toys. So, 'i' is equal to 4.
If we multiply 'i' by 5, we get 4 × 5 = 20 toys.
### 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 70B:

Reasoning: Each child receives $3 per month from their father. To find out how much each child would have saved by the end of the year, we need to multiply the monthly savings by 12 (the number of months in a year).

$3/month × 12 months = $36

So each child would 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 70B:

Reasoning: To find out how much money each child will receive, we need to divide the total amount of money Mike has ($11) by the number of children (3).

$11 ÷ 3 = $3.67

So each child will 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 70B:

Reasoning: To find out how much milk the cow produces in a day, we can divide the total amount of milk produced in 10 days by 10.

72 liters ÷ 10 days = 7.2 liters per day

Now, to calculate how much milk the cow will produce in 12 days, we can multiply the amount of milk produced per day by 12:

7.2 liters per day × 12 days = 86.4 liters

### Answer: 86.4 liters

Expected answer: 432/5

Correct? No

Problem: If the scale of the map is adjusted so that instead of 30 miles being represented by 10 inches, it is now represented by 12 inches, how many miles would 1 inch represent on the new map?

Llama 3 70B:

Reasoning: We can set up a proportion to relate the miles to the inches. Let's say 1 inch represents x miles. Then, we can write:

30 miles = 12 inches
x miles = 1 inch

We can set up the proportion as:

30/x = 12/1

To solve for x, we can cross-multiply:

30 = 12x

Divide both sides by 12:

x = 30/12
x = 2.5

So, 1 inch represents 2.5 miles on the new map.

### Answer: 2.5

Expected answer: 5/2

Correct? Yes

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 70B:

Reasoning: Since the truck is carrying cargo weighing the same as the total load the tires can handle, and we already found that the total load the tires can handle is 64 tons, the total weight being carried by the truck is the weight of the cargo plus the weight of the truck itself.

Let's assume the weight of the truck itself is not given, so we'll call it "x" tons. Then, the total weight being carried by the truck is the weight of the cargo (which is 64 tons) plus the weight of the truck itself:

Total weight = Weight of cargo + Weight of truck
= 64 + x

However, since we don't know the weight of the truck itself, we can't give a specific numerical answer. But we can express the total weight in terms of "x".

### Answer: 64 + x tons

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 70B:

Reasoning: Since the truck has 8 tires, and each tire can carry a load of 3 tons, we can multiply the number of tires by the load each tire can carry to find the total load the truck can carry.

Total load = Number of tires × Load per tire
= 8 × 3
= 24

### Answer: 24 tons

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 70B:

Reasoning: Since each fruit provides 1 cup of juice, and we have 1 fruit, we 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 cup

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 70B:

Reasoning: Sara already had 25 colored pencils, and she bought an exact duplicate of her set, which means she bought 25 more. To find the total number of colored pencils Sara has now, we can add the original number to the new number: 25 (original) + 25 (new) = 50.
### 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 70B:

Reasoning: Sara has 5 colors, and she has 11 of each type. To find the total number of colored pencils, we can multiply the number of colors by the number of pencils of each color: 5 colors x 11 pencils/color = 5 x 11 = 55.
### 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 70B:

Reasoning: Since you get 12 points for each round, and you play 8 rounds, the total number of points is the product of the points per round and the number of rounds: 12 points/round × 8 rounds = 12 × 8 = 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 70B:

Reasoning: Since each letter corresponds to 1 point, and there are 9 letters in the word, the total number of points is simply 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 70B:

Reasoning: Since Jake didn't drink any of the water and left the bottles untouched, the number of bottles remains the same.

Jake still has 49 bottles of water.

### 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 70B:

Reasoning: Each piano has 3 legs, and there are 2 pianos. To find the total number of legs, we can multiply the number of pianos by the number of legs per piano: 2 pianos x 3 legs/piano = 2 x 3 = 6 legs.
### 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 70B:

Reasoning: Since each keyring holds 2 keys and there are 11 keyrings, the total number of keys is:

11 keyrings × 2 keys/keyring = 22 keys

Since the keyrings must be split between 2 people, we need to divide the total number of keys by 2:

22 keys ÷ 2 people = 11 keys per person

### Answer: 11

Expected answer: 11

Correct? Yes

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 70B:

Reasoning: Since each keyring holds 3 keys and it must be split between 2 people, we need to divide the total number of keys by 2.

3 keys ÷ 2 people = 1.5 keys per person

### Answer: 1.5

Expected answer: 3/2

Correct? Yes

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 70B:

Reasoning: Javier still has 9 crates, but now each crate contains 8 bottles instead of 6. To find the total number of bottles, we can multiply the number of crates by the new number of bottles in each 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 70B:

Reasoning: The exchange rate change does not affect the price of the shirt in dollars, since it is still priced in dollars. The shirt still costs 10 dollars.
### Answer: 10 dollars.

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 70B:

Reasoning: Since 1 dollar equals 1 euro, the shirt costs the same amount in euros as it does in dollars. 
### Answer: 9 euros.

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 70B:

Reasoning: If the beach ball is being blown up to be twice its original size, that means its diameter will also double. To find the new diameter, we can multiply the original diameter by 2.

Original diameter = 5 feet
New diameter = 5 x 2 = 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 70B:

Reasoning: Since the farmer had 4 boxes with 6 tomatoes in each box, we can multiply the number of boxes by the number of tomatoes in each box to find the total number of tomatoes:

4 boxes × 6 tomatoes/box = 24 tomatoes

So, there will 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 70B:

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.

### 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 70B:

Reasoning: John still travels a certain distance "B" which is half of 16, so B = 16/2 = 8.
This time, he multiplies the distance "B" he traveled with 8 to find out the new total distance "X" he traveled back and forth, so X = B * 8 = 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 70B:

Reasoning: Each day, Lisa watches 2 episodes back-to-back, which takes 2 x 8 = 16 minutes. Since she does this for 5 days, the total time spent watching her TV show is 16 minutes/day x 5 days = 16 x 5 = 80 minutes.
### Answer: 80 minutes.

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 70B:

Reasoning: Since each episode of the new TV show is 12 minutes long, watching 2 episodes back-to-back would take 2 x 12 = 24 minutes.
### Answer: 24 minutes.

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 70B:

Reasoning: Jane has 6 blankets. John has 3 times as many blankets as Jane, so John has 6 x 3 = 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 70B:

Reasoning: To find out how many dollars each child will receive, we need to divide the total amount of money John has ($10) by the number of children (7).

$10 ÷ 7 = $1.43 (but since we can't divide dollars into fractions, we can say each child will receive $1 and there will be $3 left over)

Each child will receive $1.

### Answer: $1

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 70B:

Reasoning: During the first 8 days, Kate sold 8 scooters. Since she sells the same number of scooters every day during the grand sale, she will sell 8 scooters per day for 8 more 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 by the number of days: 8 scooters/day × 8 days = 64 scooters.
### 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 70B:

Reasoning: Kate sells 7 scooters per day, so to find the total number of scooters she will sell after 8 days, we can multiply the number of scooters she sells per day by the number of days: 7 scooters/day × 8 days = 56 scooters.
### 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 70B:

Reasoning: The problem states that the tree produces 12 seeds each year. Therefore, the answer is simply 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 70B:

Reasoning: We already know that there are 4 groups of friends. If each group buys 7 pizzas, we can multiply the number of groups by the number of pizzas each group buys to find the total number of pizzas.

4 groups × 7 pizzas/group = 4 × 7 = 28 pizzas

### 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 70B:

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 70B:

Reasoning: We already know that they used 72 shovels of sand in total.
Since each shovel full of sand requires 1 bottle of seawater, they will need 72 x 1 = 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 70B:

Reasoning: They build 5 sandcastles, and each sandcastle uses 4 buckets of sand, so they use a total of 5 x 4 = 20 buckets of sand.
Each bucket of sand has 3 shovels full of sand in it, so they use a total of 20 x 3 = 60 shovels of sand.
### 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 70B:

Reasoning: Jenna needs 12 beads for each bracelet. Since she has to make 7 bracelets, she will need 12 x 7 beads in total.
12 x 7 = 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 70B:

Reasoning: To find out how many times Penny can brush her teeth, we need to divide the total amount of toothpaste (66 milliliters) by the new amount she uses each time (9 milliliters).

We can do this by dividing 66 by 9:

66 ÷ 9 = 7.33 (but since we can't brush our teeth a fraction of a time, we'll round down to 7)

So, Penny can brush her teeth 7 times with the new tube of toothpaste.

### 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 70B:

Reasoning: Vanessa has 4 bunches of grapes, and each bunch has 5 grapes. To find the total number of grapes, we can 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 70B:

Reasoning: Mary already made 1 skirt. 
She wants to make as many skirts as she already made, so she will make 1 more skirt. 
In total, Mary will have made 1 (initial skirt) + 1 (additional skirt) = 2 skirts. 
### Answer: 2

Expected answer: 1

Correct? No

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 70B:

Reasoning: Mary needs 6 yards of fabric to make 1 skirt. 
She has 7 yards of fabric. 
To find out how many skirts she can make, we can divide the total amount of fabric she has by the amount of fabric needed for each skirt: 
7 yards (total fabric) ÷ 6 yards (fabric per skirt) = 1.17 (but we can't make a fraction of a skirt, so we round down to the nearest whole number). 
### Answer: 1

Expected answer: 7/6

Correct? No

Problem: Following up from the previous question, if Jordan decides to again double the total number of cards he has, how many cards will Jordan end up with at that point?

Llama 3 70B:

Reasoning: Jordan currently has 18 cards.
To double the number of cards again, we multiply 18 by 2: 18 × 2 = 36.
### Answer: 36

Expected answer: 36

Correct? Yes

Problem: Following up from the previous question, if originally Jordan had 5 card packs instead of 9, and he still decided to double the total number of his cards, how many cards would Jordan have then?

Llama 3 70B:

Reasoning: Jordan initially has 5 card packs, and each pack contains 1 card, so he has 5 cards.
To double the number of cards, we multiply 5 by 2: 5 × 2 = 10.
### Answer: 10

Expected answer: 10

Correct? Yes

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 70B:

Reasoning: The drummer now hits the drum 2 times per minute. To find out how many times he hits the drum in 8 minutes, we can multiply the number of times he hits the drum per minute by the number of minutes: 2 times/minute × 8 minutes = 2 × 8 = 16 times.

### 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 70B:

Reasoning: Since John needs 2 socks for each pair of pants, we can set up a proportion to relate the number of pairs of pants to the number of socks. Let's say John packs x pairs of pants. Then, he will need 2x socks. We know that he has 4 pairs of socks, which is equivalent to 4 x 2 = 8 socks. So, we can set up the equation:

2x = 8

To solve for x, we can divide both sides of the equation by 2:

x = 8/2
x = 4

So, John should pack 4 pairs of pants.
### Answer: 4

Expected answer: 2

Correct? No

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 70B:

Reasoning: Since John has 5 packs of pens, and each pack contains 6 pens, we can multiply the number of packs by the number of pens per pack to find the total number of pens.

5 packs x 6 pens/pack = 5 x 6 = 30 pens

### 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 70B:

Reasoning: Since Captain Blackbeard decided to split the total time into 12 shifts, we can find the number of hours each shift is responsible for by dividing the total hours by the new number of shifts.

60 hours ÷ 12 shifts = 5 hours per shift

So, one guard will now have to protect the ship for 5 hours.

### 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 70B:

Reasoning: Since every meter of the rope costs $5, and John now needs 12 meters of rope, we can multiply the cost per meter by the new number of meters needed to find the total cost.

Cost = $5/meter × 12 meters = $5 × 12 = $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 70B:

Reasoning: Since every meter of the rope costs $5, and John needs a 7-meter long rope, we can multiply the cost per meter by the number of meters needed to find the total cost.

Cost = $5/meter × 7 meters = $5 × 7 = $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 70B:

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 70B:

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

So 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 70B:

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

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 70B:

Reasoning: Since each dragon has 3 heads, and each head has 8 eyes, each dragon has a total of 3 × 8 = 24 eyes. 

Since there are two dragons, the total number of eyes is 24 + 24 = 48 eyes.

### 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 70B:

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 × 11 eyes/head = 3 × 11 = 33 eyes

### Answer: 33

Expected answer: 33

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 70B:

Reasoning: Since there are an equal number of towers on each of the 10 walls, we can divide the total number of towers (36) by the number of walls (10) to find the number of towers on each wall.

36 ÷ 10 = 3.6

Since we can't have a fraction of a tower, we can round down to the nearest whole number, as it's not possible to have a part of a tower.

So, there would be 3 towers on each wall.

### Answer: 3

Expected answer: 18/5

Correct? No