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Llama 3 8B on 4.OA.A.3

Common Core Standard 4.OA.A.3

This standard covers the following:

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be Interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

πŸ”— Problem

Problem: A songwriter creates a long ballad with many verses. Each verse has 162 words and he divides these into 18 lines per verse. This gives a certain number of words per line. To each line, he adds 34 more words as a refrain. What is the total number of words present in each line now?

Llama 3 8B:

Reasoning: Each verse has 162 words and is divided into 18 lines. So, each line has 162/18 = 9 words.
To each line, he adds 34 more words as a refrain. So, the total number of words in each line is 9 + 34 = 43.
### Answer: 43

Expected answer: 43

Correct? Yes

πŸ”— Follow-up

Problem: Following from the previous problem, the songwriter then decides to add an extra refrain to the end of each verse. If the refrain has 39 words, determine how many words are in each line after this final addition.

Llama 3 8B:

Reasoning: Each line already has 43 words (9 words from the verse and 34 words from the original refrain).
The songwriter adds an extra refrain to the end of each verse, which has 39 words. Since this is added to each line, the total number of words in each line becomes 43 + 39 = 82.
### Answer: 82

Expected answer: 82

Correct? Yes

πŸ”— Follow-up

Problem: In the previous problem, the songwriter added 34 words as the refrain to each line in his song. However, what if he had decided to keep the refrain a bit shorter and added only 28 words to each line instead? How many words would each line of the song contain in that case?

Llama 3 8B:

Reasoning: Each verse has 162 words and is divided into 18 lines. So, each line has 162/18 = 9 words.
To each line, he adds 28 more words as a refrain. So, the total number of words in each line is 9 + 28 = 37.
### Answer: 37

Expected answer: 37

Correct? Yes

πŸ”— Problem

Problem: A penguin biologist counted 35 penguins on a small ice floe. In another part of the Antarctic, she counted a different group of penguins and found there were approximately 598 divided evenly among 26 ice floes. After returning to the first place, she found that the penguin population had increased by 49. Wishing to conduct another survey, she decided to take 33 more penguins into account. However, when she counted them again, she realized she had overestimated and had to subtract 10 from her calculations. Her final step was to add in the penguins she’d left at her base camp, which were 20 adults and 14 chicks. How many penguins did she count in total?

Llama 3 8B:

Reasoning: Initially, the biologist counted 35 penguins on the small ice floe.
Then, she counted 598 penguins divided evenly among 26 ice floes, which is 598/26 = 23 penguins per ice floe.
After returning to the first place, the penguin population increased by 49, so the total number of penguins became 35 + 49 = 84.
She decided to take 33 more penguins into account, so the total number of penguins became 84 + 33 = 117.
However, she had to subtract 10 from her calculations, so the total number of penguins became 117 - 10 = 107.
Finally, she added in the penguins she'd left at her base camp, which were 20 adults and 14 chicks, so the total number of penguins became 107 + 20 + 14 = 141.
### Answer: 141

Expected answer: 164

Correct? No

πŸ”— Problem

Problem: In a local park, a jungle gym has a total of 27 steps. If the top 19 steps are blue and rest along with another 19 steps are red, we get a certain number of colored steps. On another jungle gym, there are 34 green steps. What is the total number of colored steps on the two jungle gyms?

Llama 3 8B:

Reasoning: On the first jungle gym, there are 27 steps in total. 19 steps are blue, so the remaining steps are 27 - 19 = 8. Since the remaining steps are red, there are 8 red steps. The total number of colored steps on this jungle gym is 19 (blue) + 8 (red) = 27.
On the second jungle gym, there are 34 green steps. Since all the steps are green, the total number of colored steps is 34.
The total number of colored steps on the two jungle gyms is 27 + 34 = 61.
### Answer: 61

Expected answer: 61

Correct? Yes

πŸ”— Problem

Problem: If a cloud releases 47 millimeters of rainfall per hour over a one hour period, and the average cloud typically releases 775 millimeters of rainfall over the course of 31 hours, find the amount of rainfall from the following condition. Subtract 22 from the average rainfall of the typical cloud per hour then multiply this by 23. Add this result to a constant cloud factor of 42. Add this new result to the hourly rainfall of the initial cloud and subtract 2 from it. What is the resultant millimeters of rainfall?

Llama 3 8B:

Let's break down the problem step by step:

1. Subtract 22 from the average rainfall of the typical cloud per hour: 775 - 22 = 753
2. Multiply the result by 23: 753 Γ— 23 = 17389
3. Add the result to the constant cloud factor of 42: 17389 + 42 = 17431
4. Add this new result to the hourly rainfall of the initial cloud: 17431 + 47 = 17478
5. Subtract 2 from the result: 17478 - 2 = 17476

### Answer: 17476

Expected answer: 156

Correct? No

πŸ”— Problem

Problem: Nadia likes to practice playing the piano. The other day she practiced for 45 minutes in the morning. In the same day, she also practiced for another 35 minutes in the afternoon and then another 35 minutes in the evening. How long did Nadia practice the piano in total that day?

Llama 3 8B:

Reasoning: Nadia practiced for 45 minutes in the morning.
She also practiced for 35 minutes in the afternoon.
She also practiced for 35 minutes in the evening.
Total practice time = 45 + 35 + 35 = 115 minutes.
### Answer: 115

Expected answer: 115

Correct? Yes

πŸ”— Follow-up

Problem: Reflecting upon her previous practice sessions, Nadia thought she could do more. She decided to adjust her morning practice time from 45 minutes to 26 minutes. Still maintaining her afternoon and evening sessions at 35 minutes each, how many minutes in total would Nadia be practicing for the day with this adjustment?

Llama 3 8B:

Reasoning: Nadia's new morning practice time is 26 minutes.
She still practices for 35 minutes in the afternoon.
She still practices for 35 minutes in the evening.
Total practice time = 26 + 35 + 35 = 96 minutes.
### Answer: 96

Expected answer: 96

Correct? Yes

πŸ”— Problem

Problem: A popular clothing store sells dresses for $44 each. During a flash sale, they further reduce prices by a factor of 465 divided by 31. How much does a dress cost during the flash sale?

Llama 3 8B:

Reasoning: The original price of a dress is $44. The discount is a factor of 465 divided by 31, which is 465/31 = 15. This means the price is reduced by 15 times.
The new price is 44/15 = 44 Γ— 1/15 = 44 Γ— 0.0667 = 2.93.
### Answer: $2.93

Expected answer: 660

Correct? No

πŸ”— Problem

Problem: A rope maker made 46 meters of rope on Monday. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. However, by Wednesday, 9 meters of this rope had been damaged and was unusable. How many meters of usable rope does he have after Wednesday?

Llama 3 8B:

Reasoning: The rope maker made 46 meters of rope on Monday.
On Tuesday, he made 46 + 19 = 65 meters of rope.
In total, he made 46 + 65 = 111 meters of rope.
However, 9 meters were damaged and unusable.
So, the usable rope is 111 - 9 = 102 meters.
### Answer: 102

Expected answer: 56

Correct? No

πŸ”— Problem

Problem: Juliana bought 16 pairs of vintage earrings for a gift. Each pair costs $2. She also chose a special jewelry box that costs $25. In addition, she paid $48 for the gift wrapping service. How much did she spend in total for her gift?

Llama 3 8B:

Reasoning: Juliana bought 16 pairs of earrings, each costing $2. So, the total cost of earrings is 16 x 2 = 32 dollars.
She also bought a special jewelry box that costs $25.
She paid $48 for the gift wrapping service.
The total amount she spent is the sum of these costs: 32 + 25 + 48 = 105 dollars.
### Answer: 105

Expected answer: 105

Correct? Yes

πŸ”— Problem

Problem: If Emma takes 60 beads and divides them equally among 3 of her friends, each friend will get a certain number of beads. She then adds 4 more beads to each friend's pile to start making necklaces. How many beads does each friend have now?

Llama 3 8B:

Reasoning: Emma divides 60 beads equally among 3 friends, so each friend gets 60/3 = 20 beads initially.
Then, Emma adds 4 more beads to each friend's pile, so each friend now has 20 + 4 = 24 beads.
### Answer: 24

Expected answer: 24

Correct? Yes

πŸ”— Follow-up

Problem: After distributing the beads among her friends, Emma realizes that she actually wanted to divide her 60 beads evenly among 28 friends instead of 3. She recalculates and then adds 4 more beads to each friend's stack after the initial division. How many beads does each friend have now?

Llama 3 8B:

Reasoning: Emma divides 60 beads evenly among 28 friends, so each friend gets 60/28 = 2.14 (round down to 2) beads initially.
Then, Emma adds 4 more beads to each friend's pile, so each friend now has 2 + 4 = 6 beads.
### Answer: 6

Expected answer: 43/7

Correct? No

πŸ”— Problem

Problem: A young boy with a creative mind decided to build a kite. He started with 37 paper straws but decided that 4 were unnecessary and removed them. Later, he realized his kite was still too bulky and removed another 23 straws. He multiplied the remaining number of straws by 45, subtracted 49 from that total, and then took out 7 more straws. How many straws did the boy have left?

Llama 3 8B:

Reasoning: The boy started with 37 straws. He removed 4, leaving him with 37 - 4 = 33 straws. Then, he removed 23 more, leaving him with 33 - 23 = 10 straws. He multiplied the remaining number of straws by 45, which is 10 * 45 = 450. Then, he subtracted 49 from that total, leaving him with 450 - 49 = 401 straws. Finally, he removed 7 more straws, leaving him with 401 - 7 = 394 straws.
### Answer: 394

Expected answer: 394

Correct? Yes

πŸ”— Follow-up

Problem: After reflecting on his kite design, the young boy realized he made a mistake. When he multiplied the number of remaining paper straws by 45, he should have subtracted 25, not 49. If he corrects this calculation error and takes out 7 final straws as before, how many straws does he have now for his kite?

Llama 3 8B:

Reasoning: The boy started with 37 straws. He removed 4, leaving him with 37 - 4 = 33 straws. Then, he removed 23 more, leaving him with 33 - 23 = 10 straws. He multiplied the remaining number of straws by 45, which is 10 * 45 = 450. Then, he subtracted 25 from that total, leaving him with 450 - 25 = 425 straws. Finally, he removed 7 more straws, leaving him with 425 - 7 = 418 straws.
### Answer: 418

Expected answer: 418

Correct? Yes

πŸ”— Problem

Problem: At the zoo, there were 2 trips being hosted. Each trip was allowed to see 2 animals. However, each animal had 3 baby animals with them, making the number of animals seen per trip multiplied by 3. If each baby animal could be photographed 21 times, how many photos could be taken in total? Also, if 34 photos were spoiled and unusable out of the entire batch, but guests were given the opportunity to take an additional 30 photos later, how many usable photos would there be in total?

Llama 3 8B:

Reasoning: Each trip sees 2 animals, and each animal has 3 baby animals, so each trip sees 2 x 3 = 6 animals. Since there are 2 trips, the total number of animals seen is 2 x 6 = 12 animals. Each baby animal can be photographed 21 times, so the total number of photos taken is 12 x 3 x 21 = 756 photos.

However, 34 photos are spoiled and unusable, so the number of usable photos is 756 - 34 = 722 photos.

Later, guests are given the opportunity to take an additional 30 photos, so the total number of photos becomes 722 + 30 = 752 photos.

### Answer: 752

Expected answer: 248

Correct? No

πŸ”— Problem

Problem: In a literacy event, a group of learners were asked to write a word from letters. In the first round, they could form a word with 47 letters, but due to a mistake, they had to remove 30 letters. Then, they figured out they could still add 10 more letters to this word. In the next round, they removed 3 of these letters from the updated word. How many letters were there in the word after this last deletion?

Llama 3 8B:

Reasoning: Initially, they had 47 letters. After removing 30 letters, they had 47 - 30 = 17 letters. Then, they added 10 more letters, making a total of 17 + 10 = 27 letters. After removing 3 letters, they had 27 - 3 = 24 letters.
### Answer: 24

Expected answer: 24

Correct? Yes

πŸ”— Follow-up

Problem: In the continuation of the literacy event, the learners had the opportunity to add more letters to the word after the last deletion. They decided to add 39 more letters. How many letters were in the word after this final addition?

Llama 3 8B:

Reasoning: The word had 24 letters after the last deletion. After adding 39 more letters, the total number of letters is 24 + 39 = 63.
### Answer: 63

Expected answer: 63

Correct? Yes

πŸ”— Follow-up

Problem: In revisiting the literacy event, let's consider a different scenario. When the learners formed the word with 47 letters and due to a mistake had to remove 30, instead of adding 10 letters, what if they added only 10 - 16 = -6 letters? What would the total number of letters be in the word after this change?

Llama 3 8B:

Reasoning: Initially, they had 47 letters. After removing 30 letters, they had 47 - 30 = 17 letters. Then, they added -6 letters, which is equivalent to subtracting 6 letters. So, they had 17 - 6 = 11 letters.
### Answer: 11

Expected answer: 11

Correct? Yes

πŸ”— Problem

Problem: A turtle named Tommy moves at 74/37 miles per hour. If Tommy maintains his current speed for a while then slows down by 3 mph, then speeds up to his initial speed again, what would be his average speed?

Llama 3 8B:

Reasoning: Tommy's initial speed is 74/37 miles per hour. He slows down by 3 mph, so his speed becomes 74/37 - 3 = 71/37 miles per hour. Then, he speeds up to his initial speed again, which is 74/37 miles per hour.
To find the average speed, we need to find the total distance traveled and the total time taken. Let's assume the total distance traveled is d miles.
Tommy's average speed is the total distance divided by the total time taken. The total time taken is the sum of the time taken at each speed.
The time taken at the initial speed is d / (74/37) = 37d/74 hours.
The time taken at the slowed-down speed is d / (71/37) = 37d/71 hours.
The time taken at the initial speed again is d / (74/37) = 37d/74 hours.
The total time taken is 37d/74 + 37d/71 + 37d/74 = 37d(1/74 + 1/71 + 1/74) = 37d(2/74) = 37d/37 = d hours.
Tommy's average speed is the total distance divided by the total time taken. The total distance is d miles, and the total time taken is d hours. So, Tommy's average speed is d/d = 1 mile per hour.
### Answer: 1

Expected answer: 1

Correct? Yes

πŸ”— Problem

Problem: Liam has 40 sets of building blocks. Each set contains 16 blocks. How many building blocks does Liam have in total?

Llama 3 8B:

Reasoning: Liam has 40 sets of building blocks, and each set contains 16 blocks. To find the total number of blocks, we multiply the number of sets by the number of blocks in each set: 40 x 16 = <<40 x 16=640>>.
### Answer: 640

Expected answer: 640

Correct? Yes

πŸ”— Follow-up

Problem: After counting all the building blocks, Liam decides to give away 25 to his friend. How many building blocks does Liam have left after giving some to his friend?

Llama 3 8B:

Reasoning: Liam had 640 building blocks initially. He gave away 25 blocks, so to find the number of blocks he has left, we subtract 25 from 640: 640 - 25 = <<640-25=615>>.
### Answer: 615

Expected answer: 615

Correct? Yes

πŸ”— Follow-up

Problem: What if Liam only had 38 sets of building blocks instead of 40? How many building blocks would he have in that case?

Llama 3 8B:

Reasoning: Liam has 38 sets of building blocks, and each set contains 16 blocks. To find the total number of blocks, we multiply the number of sets by the number of blocks in each set: 38 x 16 = <<38 x 16=608>>.
### Answer: 608

Expected answer: 608

Correct? Yes

πŸ”— Problem

Problem: John has 24 pencils. Then he bought more such that the number of pencils he has now is equal to the number of what he had plus 7. How many pencils does John have now?

Llama 3 8B:

Reasoning: Let's say John had x pencils initially. Then, he bought more pencils such that the total number of pencils he has now is x + 7. Since he had 24 pencils initially, we can set up the equation:

x + 7 = x + 24

Subtracting x from both sides gives:

7 = 24

Adding x to both sides gives:

x = 17

So, John had 17 pencils initially. He bought more pencils such that the total number of pencils he has now is 17 + 7 = 24.

### Answer: 31

Expected answer: 31

Correct? Yes

πŸ”— Follow-up

Problem: After having a total of 31 pencils, John received a gift box with an additional 26 pencils. How many pencils does he have now?

Llama 3 8B:

Reasoning: John already had 31 pencils. He received a gift box with 26 additional pencils. To find the total number of pencils he has now, we add the number of pencils he already had to the number of pencils he received:

31 + 26 = 57

### Answer: 57

Expected answer: 57

Correct? Yes

πŸ”— Follow-up

Problem: Suppose originally, John only had 2 pencils instead of 24 and then he bought more such that the number of pencils he has now is equal to the number of pencils he had plus 7. How many pencils does John have now?

Llama 3 8B:

Reasoning: Let's say John had x pencils initially. Then, he bought more pencils such that the total number of pencils he has now is x + 7. Since he had 2 pencils initially, we can set up the equation:

x + 7 = x + 2

Subtracting x from both sides gives:

7 = 2

Adding x to both sides gives:

x = -5

So, John had -5 pencils initially. However, since you can't have a negative number of pencils, this means that John didn't have any pencils initially. He bought 7 pencils, so now he has:

2 + 7 = 9

### Answer: 9

Expected answer: 9

Correct? Yes

πŸ”— Problem

Problem: The snowfall in City A, which lasts for 50 days, is currently 36 days in. In City B, there is a unique snow pattern where for every 14 days, it snows 98 inches. The total snowfall in inches in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in inches in City B. However, the snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B. How much snow in inches is left in City A after the snow removal?

Llama 3 8B:

Reasoning: The remaining snowfall days in City A is 50 - 36 = 14 days.
The average daily snowfall in City B is 98/14 = 7 inches.
The total snowfall in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in City B, which is 14 * 7 = 98 inches.
The snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B, which is 7 inches.
So, the snow left in City A is 98 - 7 = 91 inches.
### Answer: 91

Expected answer: 91

Correct? Yes

πŸ”— Problem

Problem: A pirate finds 28 rubies on the first day of his treasure hunt. On the second day, he finds another haul of rubies equal to the first day's find plus an additional 21 rubies. How many rubies does the pirate have in total after the second day?

Llama 3 8B:

Reasoning: The pirate finds 28 rubies on the first day.
On the second day, he finds 28 + 21 = 49 rubies.
The total number of rubies the pirate has is 28 + 49 = 77.
### Answer: 77

Expected answer: 77

Correct? Yes

πŸ”— Follow-up

Problem: After the second day, the pirate continues his adventure and stumbles upon a third treasure chest containing 29 additional rubies. Unfortunately, he drops and loses 36 rubies while escaping a group of rival pirates. How many rubies does he have in total now?

Llama 3 8B:

Reasoning: The pirate had 77 rubies after the second day.
He finds 29 more rubies, so he now has 77 + 29 = 106 rubies.
However, he loses 36 rubies, so he is left with 106 - 36 = 70 rubies.
### Answer: 70

Expected answer: 70

Correct? Yes

πŸ”— Follow-up

Problem: After reflecting on his loss, the pirate remembers that, on the first day, he actually only found 6 rubies, not 28. On the second day, he still found a number of rubies equal to what he found on the first day plus an additional 21 rubies. How many rubies did the pirate have in total after the second day, taking this into account?

Llama 3 8B:

Reasoning: The pirate finds 6 rubies on the first day.
On the second day, he finds 6 + 21 = 27 rubies.
The total number of rubies the pirate has is 6 + 27 = 33.
### Answer: 33

Expected answer: 33

Correct? Yes

πŸ”— Problem

Problem: There were 47 inches of snowfall in January and an additional 7 inches in early February. On February 15th, there was an additional 17 inches of snowfall. Then, 48 inches of snow fell in March. In April, we had an additional 31 inches of snowfall early on, but then 27 inches melted by the end of the month. How many inches of snow does this sum up to at the end of April?

Llama 3 8B:

Reasoning: Let's calculate the total snowfall for each month:
January: 47 inches
February: 47 + 7 = 54 inches
February 15th: 54 + 17 = 71 inches
March: 71 + 48 = 119 inches
April: 119 + 31 = 150 inches
April (after melting): 150 - 27 = 123 inches

### Answer: 123

Expected answer: 123

Correct? Yes

πŸ”— Follow-up

Problem: Following the same snowfall pattern, but this time if April were to receive a slightly higher snowfall, with an additional 44 inches of snowfall early on, but then 27 inches melted by the end of the month, how many inches of snow would this sum up to at the end of April now?

Llama 3 8B:

Reasoning: Let's calculate the total snowfall for each month:
January: 47 inches
February: 47 + 7 = 54 inches
February 15th: 54 + 17 = 71 inches
March: 71 + 48 = 119 inches
April: 119 + 44 = 163 inches
April (after melting): 163 - 27 = 136 inches

### Answer: 136

Expected answer: 136

Correct? Yes

πŸ”— Problem

Problem: At a fair, a vendor sold balloons. On a particularly busy day, he sold 46 balloons every hour for 11 hours straight. After the fair had closed, he ended up selling an additional 31 balloons to some stragglers. How many balloons did he sell in total that day?

Llama 3 8B:

Reasoning: The vendor sold 46 balloons every hour for 11 hours, so he sold 46 x 11 = <<46*11=506>>506 balloons during the busy hours.
He sold an additional 31 balloons to stragglers, so he sold a total of 506 + 31 = <<506+31=537>>537 balloons that day.
### Answer: 537

Expected answer: 537

Correct? Yes

πŸ”— Problem

Problem: Mary and John decided to play a game of cards. In the first game, Mary scored 31 points and John scored 39 points. In the second game, their combined score was increased by 35 more points. During a special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. What was their final score in the special round?

Llama 3 8B:

Reasoning: In the first game, Mary scored 31 points and John scored 39 points. Their combined score was 31 + 39 = 70 points.
In the second game, their combined score increased by 35 more points, so their new combined score was 70 + 35 = 105 points.
During the special round, they multiplied their score by the difference between 27 and the number of cards left in the deck, which was 27 - 23 = 4. So, they multiplied their score by 4.
Their final score in the special round was 105 * 4 = 420 points.
### Answer: 420

Expected answer: 420

Correct? Yes

πŸ”— Follow-up

Problem: After the special round in their card game, Mary and John discovered two extra points they hadn't accounted for earlier. After adding these extra points to their score, what was their final combined score?

Llama 3 8B:

Reasoning: Mary and John's final score in the special round was 420 points.
They added 2 extra points to their score, so their new combined score was 420 + 2 = 422 points.
### Answer: 422

Expected answer: 422

Correct? Yes

πŸ”— Follow-up

Problem: Given the same card game situation, suppose that in the second game, Mary and John’s combined score increased by 50 points instead of 35. Following the same rule in their special round, where they multiplied their score by the difference between 27 and the number of cards left in the deck (which was 23), what would their final score be in this case?

Llama 3 8B:

Reasoning: In the first game, Mary scored 31 points and John scored 39 points. Their combined score was 31 + 39 = 70 points.
In the second game, their combined score increased by 50 more points, so their new combined score was 70 + 50 = 120 points.
During the special round, they multiplied their score by the difference between 27 and the number of cards left in the deck, which was 27 - 23 = 4. So, they multiplied their score by 4.
Their final score in the special round was 120 * 4 = 480 points.
### Answer: 480

Expected answer: 480

Correct? Yes

πŸ”— Problem

Problem: A furniture company manufactured 17 upholstered seats and 18 wooden seats in the morning, and then produced another 29 in the afternoon. They repeated this production in the evening. Later on, they gave away 48 chairs to charity and used 7 chairs for quality testing. How many chairs are left after these operations?

Llama 3 8B:

Reasoning: In the morning, the company produced 17 + 18 = 35 chairs. In the afternoon, they produced 29 chairs. In the evening, they produced the same amount again, so 35 + 29 + 29 = 93 chairs. After giving away 48 chairs and using 7 chairs for quality testing, the company has 93 - 48 - 7 = 38 chairs left.
### Answer: 38

Expected answer: 73

Correct? No

πŸ”— Problem

Problem: On a popular jungle gym, there are 46 monkey bars and 18 swinging ropes for the kids to play on. Nearby, a larger jungle gym was recently built to accommodate more kids. The new jungle gym contains 2 extra long zip lines and 20 regular zip lines, each requiring 31 special hooks to install. How many more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym?

Llama 3 8B:

Reasoning: The popular jungle gym has 46 monkey bars and 18 swinging ropes, for a total of 46+18=64 play components.
The new jungle gym has 2 extra long zip lines and 20 regular zip lines, for a total of 2+20=22 zip lines.
Each zip line requires 31 special hooks, so the total number of hooks needed for the zip lines is 22*31=<<22*31=682>>682.
The total number of hooks needed for the new jungle gym is 682.
The difference in the number of hooks used in the new jungle gym compared to the popular jungle gym is 682-64=<<682-64=618>>618.
### Answer: 618

Expected answer: 618

Correct? Yes

πŸ”— Problem

Problem: John has saved $168 and he decides to divide it evenly between 21 days. After doing so, he then gets an additional $47 from his job. He then receives another amount of money which is the sum of $12 and $45. How much money does John have now?

Llama 3 8B:

Reasoning: John has $168 initially. He divides it evenly between 21 days, so he gets $168/21 = $8 per day. He gets an additional $47 from his job, so he now has $168 + $47 = $215. Then, he receives another amount of money which is the sum of $12 and $45, so he gets $12 + $45 = $57. Now, John has $215 + $57 = $272.
### Answer: 272

Expected answer: 112

Correct? No

πŸ”— Problem

Problem: A robot can stack 32 boxes in 1 minute. If it works non-stop for 4 minutes and then picks up 1 extra box, how many boxes will this robot have stacked in total?

Llama 3 8B:

Reasoning: The robot can stack 32 boxes in 1 minute, so in 4 minutes it can stack 4 x 32 = 128 boxes.
Adding the extra box, the total number of boxes stacked is 128 + 1 = 129.
### Answer: 129

Expected answer: 129

Correct? Yes

πŸ”— Follow-up

Problem: After stacking boxes for 4 minutes, the robot takes a break. When it comes back, it accidentally knocks over 21 of the boxes. How many boxes remain stacked after the robot knocks some over?

Llama 3 8B:

Reasoning: Initially, the robot stacked 128 boxes. After knocking over 21 boxes, the number of boxes remaining is 128 - 21 = 107.
### Answer: 107

Expected answer: 108

Correct? No

πŸ”— Follow-up

Problem: Let's consider a different scenario: If, instead of picking up an extra single box after 4 minutes, the robot picked up an extra 11 boxes, how many boxes would this robot have stacked in total?

Llama 3 8B:

Reasoning: The robot can stack 32 boxes in 1 minute, so in 4 minutes it can stack 4 x 32 = 128 boxes.
Adding the extra 11 boxes, the total number of boxes stacked is 128 + 11 = 139.
### Answer: 139

Expected answer: 139

Correct? Yes

πŸ”— Problem

Problem: A female tiger gave birth to 26 cubs in all her lifetime. Unfortunately, 17 of them did not survive the harsh conditions of the wild. However, after growing up, 6 of the surviving tigers moved to other territories. How many tigers remained in the female tiger's territory?

Llama 3 8B:

Reasoning: The female tiger had 26 cubs initially.
17 cubs did not survive, so the number of surviving cubs is 26 - 17 = 9.
6 of the surviving tigers moved to other territories, so the number of tigers remaining in the female tiger's territory is 9 - 6 = 3.
### Answer: 3

Expected answer: 3

Correct? Yes

πŸ”— Follow-up

Problem: Suppose that originally the female tiger had given birth to 24 cubs instead of 26 in her lifetime, and the same number of 17 cubs had not survived the harsh conditions of the wild. If the same number of surviving tigers, 6, moved to other territories, how many tigers would have remained in the female tiger's territory?

Llama 3 8B:

Reasoning: The female tiger had 24 cubs initially.
17 cubs did not survive, so the number of surviving cubs is 24 - 17 = 7.
6 of the surviving tigers moved to other territories, so the number of tigers remaining in the female tiger's territory is 7 - 6 = 1.
### Answer: 1

Expected answer: 1

Correct? Yes

πŸ”— Problem

Problem: A colony of penguins originally started with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. To supplant the loss, another group of 35 penguins join the colony. How many penguins are in the colony now?

Llama 3 8B:

Reasoning: The colony originally had 44 penguins.
After 39 new penguins join, the total number of penguins becomes 44 + 39 = 83.
Then, 16 penguins leave, leaving 83 - 16 = 67 penguins.
Finally, 35 new penguins join, making the total number of penguins 67 + 35 = 102.
### Answer: 102

Expected answer: 102

Correct? Yes

πŸ”— Follow-up

Problem: In the same penguin colony, they started off with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. This time, to supplant the loss, another group of 12 penguins join the colony, instead of 35. How many penguins are in the colony now?

Llama 3 8B:

Reasoning: The colony originally had 44 penguins.
After 39 new penguins join, the total number of penguins becomes 44 + 39 = 83.
Then, 16 penguins leave, leaving 83 - 16 = 67 penguins.
Finally, 12 new penguins join, making the total number of penguins 67 + 12 = 79.
### Answer: 79

Expected answer: 79

Correct? Yes

πŸ”— Problem

Problem: A helicopter travels 10 miles in one minute. If the helicopter increases its speed by 40 miles, plus another 20 miles, how far will the helicopter travel in 12 minutes at this increased speed?

Llama 3 8B:

Reasoning: The helicopter's original speed is 10 miles per minute. The increase in speed is 40 + 20 = 60 miles per minute. The new speed is 10 + 60 = 70 miles per minute.
The helicopter travels 70 miles per minute. To find the distance traveled in 12 minutes, multiply the speed by the time: 70 x 12 = 840 miles.
### Answer: 840

Expected answer: 840

Correct? Yes

πŸ”— Follow-up

Problem: After re-evaluating its performance, the helicopter realized that its actual speed increase was lesser than initially thought. Instead of the initial 40 miles speed increase, the increase was just 2 miles. Given that the original speed of 10 miles and an additional bonus speed of 20 miles remained the same, how far will the helicopter be able to travel in 12 minutes at this revised speed?

Llama 3 8B:

Reasoning: The helicopter's original speed is 10 miles per minute. The increase in speed is 2 miles per minute. The new speed is 10 + 2 = 12 miles per minute. The bonus speed remains the same, which is 20 miles per minute. The total speed is the sum of the original speed and the bonus speed, which is 10 + 20 = 30 miles per minute.
The helicopter travels 30 miles per minute. To find the distance traveled in 12 minutes, multiply the speed by the time: 30 x 12 = 360 miles.
### Answer: 360

Expected answer: 384

Correct? No

πŸ”— Problem

Problem: A new telescope has a magnification power of 26. To further explore the universe, another telescope is required that needs to be exactly 41 in magnification strength. How much more magnification is required for the new telescope compared to the existing one?

Llama 3 8B:

Reasoning: The existing telescope has a magnification power of 26. The new telescope needs to have a magnification power of 41. To find the difference, subtract the existing magnification from the new magnification: 41 - 26 = 15.
### Answer: 15

Expected answer: 15

Correct? Yes

πŸ”— Follow-up

Problem: The Space Institute realized that the initial magnification power of the existing telescope was actually 16, not 26 as previously thought. If they still want to reach a magnification strength of 41, how much more magnification is now needed compared to the existing telescope?

Llama 3 8B:

Reasoning: The existing telescope has a magnification power of 16. The new telescope needs to have a magnification power of 41. To find the difference, subtract the existing magnification from the new magnification: 41 - 16 = 25.
### Answer: 25

Expected answer: 25

Correct? Yes

πŸ”— Problem

Problem: Sophie's parents give her $18 for every hour she works at the family business. On Monday, she worked 2 of those hours. Then she bought a $4 ice cream and another $4 coffee afterwards. She then added Monday's leftover amount to her pay for her next single hour of work. After that, she got an additional $45 as a bonus from her grandmother. How much money does Sophie have in total now?

Llama 3 8B:

Reasoning: Sophie earned $18 for each of the 2 hours she worked on Monday, so she earned 2 x 18 = 36 dollars. After buying the $4 ice cream and $4 coffee, she had 36 - 4 - 4 = 28 dollars left. She added this leftover amount to her pay for her next single hour of work, so she earned an additional 18 dollars. Now she has 28 + 18 = 46 dollars. After getting an additional $45 as a bonus from her grandmother, she has 46 + 45 = 91 dollars in total.
### Answer: 91

Expected answer: 91

Correct? Yes

πŸ”— Follow-up

Problem: In the same scenario, imagine if Sophie's parents now give her $5 for every hour she works at the family business instead of $18. She still works for two hours on Monday, spends the same amount on ice cream and coffee, works an additional hour, and receives the same $45 bonus from her grandmother. How much money does Sophie have in total now?

Llama 3 8B:

Reasoning: Sophie earned $5 for each of the 2 hours she worked on Monday, so she earned 2 x 5 = 10 dollars. After buying the $4 ice cream and $4 coffee, she had 10 - 4 - 4 = 2 dollars left. She added this leftover amount to her pay for her next single hour of work, so she earned an additional 5 dollars. Now she has 2 + 5 = 7 dollars. After getting an additional $45 as a bonus from her grandmother, she has 7 + 45 = 52 dollars in total.
### Answer: 52

Expected answer: 52

Correct? Yes

πŸ”— Problem

Problem: A towel company initially produced 30 beach towels and 6 hand towels. They then gave away 7 towels for charity, which leaves a certain amount of towels. They then decided to produce 14 more towels to add to their current stock. On the other hand, they made a special batch of 13 towels for every towel left after their charity activity and deducted 19 towels from this special batch, calling it their premium collection. They then noted 20 towels were damaged and removed it from this premium collection. After this, they deducted 3 more towels from the remaining premium collection and combined it with the total they had after their second batch of production. How many towels does the company have now?

Llama 3 8B:

Let's break it down step by step:

Initially, the company produced 30 beach towels and 6 hand towels, so they had a total of 30 + 6 = 36 towels.

After giving away 7 towels for charity, they were left with 36 - 7 = 29 towels.

Then, they produced 14 more towels, so they now have 29 + 14 = 43 towels.

The special batch of 13 towels for every towel left after the charity activity would be 13 x 29 = 377 towels. However, they deducted 19 towels from this batch, leaving 377 - 19 = 358 towels.

After removing 20 damaged towels from the premium collection, they were left with 358 - 20 = 338 towels.

Finally, they deducted 3 more towels from the remaining premium collection, leaving 338 - 3 = 335 towels.

Combining the remaining premium collection with the total they had after the second batch of production (43 towels), they now have a total of 335 + 43 = 378 towels.

### Answer: 378

Expected answer: 378

Correct? Yes

πŸ”— Problem

Problem: An extraterrestrial being from the planet Zorkon communicates that they have 50 special energy crystals. Then they explain that they'll get 20 more energy crystals in a few earth days. Additionally, their zorbcraft has a hidden compartment that contains 50 energy crystals and 6 extra lumino-gems, and they plan to add the upcoming energy crystals to this compartment as well. How many items (including both energy crystals and lumino-gems) would be in the zorbcraft's compartment at that time?

Llama 3 8B:

Reasoning: Initially, the zorbcraft's compartment contains 50 energy crystals and 6 lumino-gems.
The extraterrestrial being will get 20 more energy crystals, so the total number of energy crystals will be 50 + 20 = 70.
The compartment will contain 70 energy crystals and 6 lumino-gems, which is a total of 70 + 6 = 76 items.
### Answer: 76

Expected answer: 126

Correct? No

πŸ”— Problem

Problem: A park contains 43 Velociraptors. Then, the park added another set of dinosaurs which numbered 972, but as it so happens, each of these sections contained 27 dinosaurs. This meant the actual number of new dinosaur types added was less. After calculating the new dinosaur types, they found out that the number of Velociraptors was more. They found the difference and multiplied this difference by 7, as each of the Velociraptors laid 7 new eggs that week. How many total eggs were laid by the Velociraptors that week?

Llama 3 8B:

Reasoning: The park added 972/27 = 36 sets of dinosaurs, but since each set contains 27 dinosaurs, the actual number of new dinosaurs added is 36 * 27 = 972. This means the total number of dinosaurs in the park is 43 + 972 = 1015. Since the number of Velociraptors increased, the difference is 1015 - 43 = 972. Multiplying this difference by 7, we get 972 * 7 = 6804.
### Answer: 6804

Expected answer: 49

Correct? No

πŸ”— Problem

Problem: There is a bowl containing 46 oranges. After Maria took 16 oranges from that bowl, how many oranges are left?

Llama 3 8B:

Reasoning: Maria took 16 oranges from the bowl, which means the number of oranges left is the original number of oranges minus the number of oranges taken.
The original number of oranges is 46.
The number of oranges taken is 16.
So, the number of oranges left is 46 - 16 = 30.
### Answer: 30

Expected answer: 30

Correct? Yes

πŸ”— Follow-up

Problem: Initially, Maria believed the bowl contained 46 oranges, but soon she realized her mistake and found out there were actually 49 in total. With this new information, after taking out 16 oranges, how many are left now in the bowl?

Llama 3 8B:

Reasoning: Maria initially thought there were 46 oranges, but it turns out there were actually 49. So, the correct number of oranges is 49.
Maria took 16 oranges from the bowl, which means the number of oranges left is the correct number of oranges minus the number of oranges taken.
The correct number of oranges is 49.
The number of oranges taken is 16.
So, the number of oranges left is 49 - 16 = 33.
### Answer: 33

Expected answer: 33

Correct? Yes

πŸ”— Problem

Problem: A toothbrush factory produces 37 toothbrushes per minute at the start of its morning shift. A little later, it increases its production to rate to 308 toothbrushes every 7 minutes. If this increased rate of production continued for 16 minutes, how many toothbrushes were produced in total?

Llama 3 8B:

Reasoning: The factory produces 37 toothbrushes per minute initially.
In 7 minutes, it produces 308 toothbrushes, so the rate of production is 308/7 = 44 toothbrushes per minute.
For 16 minutes, it produces 44 toothbrushes per minute, so it produces 44 * 16 = 704 toothbrushes.
Adding the initial 37 toothbrushes, the total number of toothbrushes produced is 37 + 704 = 741 toothbrushes.
### Answer: 741

Expected answer: 741

Correct? Yes

πŸ”— Follow-up

Problem: Following the production in the previous scenario, the toothbrush factory suddenly had to halt production for unexpected maintenance and this affected their output, causing a reduction by 25 toothbrushes. How many toothbrushes were produced in total after this reduction?

Llama 3 8B:

Reasoning: The factory produced a total of 741 toothbrushes initially.
After the reduction, the number of toothbrushes produced is reduced by 25, so the new total is 741 - 25 = 716 toothbrushes.
### Answer: 716

Expected answer: 716

Correct? Yes

πŸ”— Follow-up

Problem: In the previous scenario, instead of increasing its production to 308 toothbrushes every 7 minutes, suppose that the factory instead increased its production to 308 toothbrushes every 27 minutes. If this new rate of production continued for 16 minutes and the 37 toothbrushes produced at the start of the shift are taken into account, how many toothbrushes were produced in total now?

Llama 3 8B:

Reasoning: The factory produces 37 toothbrushes per minute initially.
In 27 minutes, it produces 308 toothbrushes, so the rate of production is 308/27 = 11.41 toothbrushes per minute (approximately).
For 16 minutes, it produces 11.41 toothbrushes per minute, so it produces 11.41 * 16 = 183.36 toothbrushes (approximately).
Adding the initial 37 toothbrushes, the total number of toothbrushes produced is 37 + 183.36 = 220.36 toothbrushes (approximately).
### Answer: 220.36

Expected answer: 5927/27

Correct? No

πŸ”— Problem

Problem: A research laboratory has 39 telescopes initially. They added 7 more telescopes in the first month and then 17 more in the second month. Twelve more telescopes arrived in the third month, followed by further add up of 18 in the fourth month. In fifth month, they got exactly the same number of telescopes as they had initially i.e. 39 telescopes and in the sixth month, they received extra 19 telescopes. How many telescopes does the research laboratory have at the end of the sixth month.

Llama 3 8B:

Reasoning: Initially, the laboratory had 39 telescopes.
In the first month, they added 7 more telescopes, so they had 39 + 7 = 46 telescopes.
In the second month, they added 17 more telescopes, so they had 46 + 17 = 63 telescopes.
In the third month, they added 12 more telescopes, so they had 63 + 12 = 75 telescopes.
In the fourth month, they added 18 more telescopes, so they had 75 + 18 = 93 telescopes.
In the fifth month, they added 39 more telescopes (the same as initially), so they had 93 + 39 = 132 telescopes.
In the sixth month, they added 19 more telescopes, so they had 132 + 19 = 151 telescopes.
### Answer: 151

Expected answer: 151

Correct? Yes

πŸ”— Follow-up

Problem: After reviewing the inventory, the management of the research laboratory discovered that instead of adding 12 new telescopes in the third month, they had actually added 29 telescopes. How would this affect the total count of telescopes at the end of the sixth month, before any old models were decommissioned?

Llama 3 8B:

Reasoning: Initially, the laboratory had 39 telescopes.
In the first month, they added 7 more telescopes, so they had 39 + 7 = 46 telescopes.
In the second month, they added 17 more telescopes, so they had 46 + 17 = 63 telescopes.
In the third month, they added 29 more telescopes (instead of 12), so they had 63 + 29 = 92 telescopes.
In the fourth month, they added 18 more telescopes, so they had 92 + 18 = 110 telescopes.
In the fifth month, they added 39 more telescopes (the same as initially), so they had 110 + 39 = 149 telescopes.
In the sixth month, they added 19 more telescopes, so they had 149 + 19 = 168 telescopes.
### Answer: 168

Expected answer: 168

Correct? Yes

πŸ”— Problem

Problem: A table was initially set with 20 forks and 23 knives. Later in the day, 28 more sets of cutlery were added, each set containing 26 utensils. After counting, they found 7 more utensils than expected. However, there were 46 missing utensils, and they had to remove the original set of 20 forks and 23 knives. How many utensils were left on the table?

Llama 3 8B:

Reasoning: Initially, there were 20 forks and 23 knives, so a total of 20 + 23 = 43 utensils.
Later, 28 sets of cutlery were added, each set containing 26 utensils. So, 28 x 26 = 728 utensils were added.
The total number of utensils now is 43 + 728 = 771 utensils.
However, there were 7 more utensils than expected, so the actual total is 771 + 7 = 778 utensils.
But, 46 utensils were missing, so the actual total is 778 - 46 = 732 utensils.
Finally, the original set of 20 forks and 23 knives was removed, leaving 732 - 43 = 689 utensils.
### Answer: 689

Expected answer: 646

Correct? No

πŸ”— Problem

Problem: A magical unicorn has 50 red roses and 36 blue roses in her mystical garden. But then, a storm comes and 25 blue roses are destroyed. How many roses does the unicorn have left in her garden after the storm?

Llama 3 8B:

Reasoning: The unicorn had 50 red roses, which are not affected by the storm, so she still has 50 red roses.
She had 36 blue roses initially, but 25 were destroyed, so she has 36 - 25 = 11 blue roses left.
In total, the unicorn has 50 + 11 = 61 roses left in her garden after the storm.
### Answer: 61

Expected answer: 61

Correct? Yes

πŸ”— Follow-up

Problem: After the storm, the magical unicorn plants 41 more pink roses in her mystical garden. How many roses does the unicorn have in her garden now?

Llama 3 8B:

Reasoning: The unicorn already had 61 roses in her garden, and she planted 41 more pink roses.
To find the total number of roses, we add the number of roses she already had to the number of new roses: 61 + 41 = 102.
### Answer: 102

Expected answer: 102

Correct? Yes

πŸ”— Follow-up

Problem: Originally, the magical unicorn had 50 red roses and 36 blue roses in her mystical garden. But if she had initially had 50 red roses and 38 blue roses instead, and still lost 25 roses in the storm, how many roses would she have left in her garden after the storm?

Llama 3 8B:

Reasoning: The unicorn had 50 red roses, which are not affected by the storm, so she still has 50 red roses.
She had 38 blue roses initially, but 25 were destroyed, so she has 38 - 25 = 13 blue roses left.
In total, the unicorn has 50 + 13 = 63 roses left in her garden after the storm.
### Answer: 63

Expected answer: 63

Correct? Yes

πŸ”— Problem

Problem: A factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, as well as an additional 29 bottles. By the end of the day, 28 more bottles were added to this shipment. How many bottles were marked for shipping in total?

Llama 3 8B:

Reasoning: The factory produces 100 bottles every hour. Half of the hourly production is sent to the first warehouse, which is 100/2 = 50 bottles.
At another location, triple the amount sent to the first warehouse was marked for shipping, which is 3 x 50 = 150 bottles. Additionally, 29 bottles were marked for shipping, making the total 150 + 29 = 179 bottles.
By the end of the day, 28 more bottles were added to this shipment, making the total 179 + 28 = 207 bottles.
### Answer: 207

Expected answer: 207

Correct? Yes

πŸ”— Follow-up

Problem: From the same factory scenario as before, reconsider the situation such that instead of adding 28 more bottles for shipment by the end of the day, they actually added 50 more bottles. How many bottles were marked for shipping in total now?

Llama 3 8B:

Reasoning: The factory produces 100 bottles every hour. Half of the hourly production is sent to the first warehouse, which is 100/2 = 50 bottles.
At another location, triple the amount sent to the first warehouse was marked for shipping, which is 3 x 50 = 150 bottles. Additionally, 29 bottles were marked for shipping, making the total 150 + 29 = 179 bottles.
By the end of the day, 50 more bottles were added to this shipment, making the total 179 + 50 = 229 bottles.
### Answer: 229

Expected answer: 229

Correct? Yes

πŸ”— Problem

Problem: The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?

Llama 3 8B:

Reasoning: First, we need to find the height of the window frame. The height is calculated as the sum of 925 divided by 37 and 26 inches. This can be written as:

Height = 925 / 37 + 26

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Height = (925 / 37) + 26
Height = 25 + 26
Height = 51

Now, we need to find the width of the window. The width is 11 inches greater than the height:

Width = Height + 11
Width = 51 + 11
Width = 62

Next, we need to find the circumference of the window. The circumference is calculated as the sum of twice the width and the height:

Circumference = 2 * Width + Height
Circumference = 2 * 62 + 51
Circumference = 124 + 51
Circumference = 175

Finally, we need to find the size of the glass required for the window. The size of the glass is calculated by subtracting 32 from the circumference:

Size of glass = Circumference - 32
Size of glass = 175 - 32
Size of glass = 143

### Answer: 143

Expected answer: 143

Correct? Yes

πŸ”— Follow-up

Problem: Suppose that there was an error in the original measurements. The height of the window frame is instead calculated as the sum of 925 divided by 37 and 16 inches, not 26 inches. Recalculating with these new measurements, what would be the size of the glass required for the window now?

Llama 3 8B:

Reasoning: With the new measurements, we need to recalculate the height of the window frame. The height is calculated as the sum of 925 divided by 37 and 16 inches. This can be written as:

Height = 925 / 37 + 16

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Height = (925 / 37) + 16
Height = 25 + 16
Height = 41

Now, we need to find the width of the window. The width is 11 inches greater than the height:

Width = Height + 11
Width = 41 + 11
Width = 52

Next, we need to find the circumference of the window. The circumference is calculated as the sum of twice the width and the height:

Circumference = 2 * Width + Height
Circumference = 2 * 52 + 41
Circumference = 104 + 41
Circumference = 145

Finally, we need to find the size of the glass required for the window. The size of the glass is calculated by subtracting 32 from the circumference:

Size of glass = Circumference - 32
Size of glass = 145 - 32
Size of glass = 113

### Answer: 113

Expected answer: 113

Correct? Yes

πŸ”— Problem

Problem: A pirate finds treasure with 135 gold coins. He divides these amongst his crew of 9. On another island, they find 323 emeralds which he divides amongst his crew of 19. He then multiplies these two shares to find out the total share per crew member. However, due to a miscount, he later realizes he has overcounted the share by 14. What is the corrected total share per crew member?

Llama 3 8B:

Reasoning: The pirate divides 135 gold coins amongst his crew of 9, so each crew member gets 135/9 = 15 gold coins.
The pirate divides 323 emeralds amongst his crew of 19, so each crew member gets 323/19 = 17 emeralds.
The pirate multiplies these two shares to find the total share per crew member: 15 * 17 = 255.
However, due to a miscount, he has overcounted the share by 14, so the corrected total share per crew member is 255 - 14 = 241.
### Answer: 241

Expected answer: 241

Correct? Yes

πŸ”— Problem

Problem: A chocolatier has decided to make small chocolate bars that weigh 176 grams each. To get the right size, he divides each bar into 8 pieces, which means each piece weighs a certain number of grams. He then decides to make a new batch of chocolate using a special recipe. This recipe calls for a total of 38 grams of cocoa, but subtraction the weight of one piece from the 176g bars, plus an additional 26 grams of sugar. Simultaneously, the chocolatier decides to create another batch of chocolates that needs a total of 38 grams of cocoa and 18 grams of milk. What is the difference in the total weight of ingredients between the second and third batch of chocolates?

Llama 3 8B:

Reasoning: Let's first find the weight of one piece of the original chocolate bar. Since the bar weighs 176 grams and is divided into 8 pieces, each piece weighs 176/8 = 22 grams.

For the second batch of chocolates, the chocolatier subtracts the weight of one piece (22 grams) from the original bar (176 grams), which leaves 176 - 22 = 154 grams. He then adds 26 grams of sugar, making the total weight of ingredients 154 + 26 = 180 grams.

For the third batch of chocolates, the total weight of ingredients is 38 grams of cocoa + 18 grams of milk = 56 grams.

The difference in the total weight of ingredients between the second and third batch of chocolates is 180 - 56 = 124 grams.

### Answer: 124

Expected answer: 14

Correct? No

πŸ”— Problem

Problem: Jenny has 9 red colored pencils in her art box. She also has some green colored pencils which amounts to 38 minus the number of red colored pencils she has. The total number of times she used all the pencils is the product of the number of green and red pencils she has. How many times did she use all her pencils?

Llama 3 8B:

Reasoning: Let's start by finding the number of green colored pencils Jenny has. Since she has 9 red colored pencils, the number of green colored pencils is 38 - 9 = 29.
The total number of times she used all the pencils is the product of the number of green and red pencils she has, which is 29 * 9 = 261.
### Answer: 261

Expected answer: 261

Correct? Yes

πŸ”— Follow-up

Problem: Following from the previous scenario, Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. Now, the total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. How many times in total did she use all her pencils?

Llama 3 8B:

Reasoning: We already know that Jenny used her green and red pencils 261 times.
We also know that she used her blue pencils an equivalent number of times to the sum of 31 and 16, which is 31 + 16 = 47.
The total number of times she used all her pencils is the sum of the times she used her blue pencils and the times she used her green and red pencils, which is 47 + 261 = 308.
### Answer: 308

Expected answer: 308

Correct? Yes

πŸ”— Follow-up

Problem: Now, instead of having only 9 red colored pencils, Jenny actually had 12 of them. She again has green colored pencils which, as before, total 38 minus the number of red colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has, just as in the previous case. Now, with this change, how many times did she use all her pencils?

Llama 3 8B:

Reasoning: Let's start by finding the number of green colored pencils Jenny has. Since she has 12 red colored pencils, the number of green colored pencils is 38 - 12 = 26.
The total number of times she used all the pencils is the product of the number of green and red pencils she has, which is 26 * 12 = 312.
### Answer: 312

Expected answer: 312

Correct? Yes

πŸ”— Problem

Problem: A factory has just released a new robot model, where each model has 17 transistors and each transistor may have 16 separate connections. One of the newly manufactured robots by accident was made with one less connection than standard. However, to compensate for the mistake, an extra 41 connections were added elsewhere. What is the total number of connections in the strangely built robot?

Llama 3 8B:

Reasoning: Each robot has 17 transistors, and each transistor has 16 connections, except for one transistor that has 15 connections. So, the total number of connections for the 16 normal transistors is 16 * 17 * 16 = 4352. The one transistor with 15 connections has 15 connections, so the total number of connections is 4352 + 15 = 4367. However, 41 extra connections were added, so the total number of connections is 4367 + 41 = 4408.
### Answer: 4408

Expected answer: 312

Correct? No

πŸ”— Problem

Problem: At the local jungle gym, during busy hours, there are usually 24 kids climbing on each of the 31 different attractions. One rainy day, however, there were only 6 kids in total! If you subtract the number of kids on the rainy day from the usual busy day, and then further subtract 12 (the number of squirrels scampering around), how many kids will you have counted in total?

Llama 3 8B:

Reasoning: There are 24 kids on each of the 31 attractions, so the total number of kids on a busy day is 24 x 31 = 744.
On a rainy day, there are only 6 kids in total.
So, the difference between the number of kids on a busy day and a rainy day is 744 - 6 = 738.
Subtracting 12 squirrels, we get 738 - 12 = 726.
### Answer: 726

Expected answer: 726

Correct? Yes

πŸ”— Follow-up

Problem: In the previous problem, instead of 31 attractions at the jungle gym, let's say there were only 6 attractions. So now, on a busy day, you have 24 kids at each of these 6 attractions. If that rainy day still only had 6 kids at the jungle gym in total, and there were 12 squirrels, how many kids will you have counted in total now?

Llama 3 8B:

Reasoning: There are 24 kids on each of the 6 attractions, so the total number of kids on a busy day is 24 x 6 = 144.
On a rainy day, there are only 6 kids in total.
So, the difference between the number of kids on a busy day and a rainy day is 144 - 6 = 138.
Subtracting 12 squirrels, we get 138 - 12 = 126.
### Answer: 126

Expected answer: 126

Correct? Yes

πŸ”— Problem

Problem: There's this mystical ring that, after you perform a special chant, it will grant you powers based on a complex magic formula. If the first step of the magical formula is subtracting 5 from 23 and then multiplying by the number of magical chants you perform, which in this case is 6. After that, the result is multiplied by 7 and again by 1. However, for the final step, you subtract 48 from the result. If you follow these steps, how powerful will the ring's magic be?

Llama 3 8B:

Reasoning: First, we subtract 5 from 23: 23 - 5 = 18.
Then, we multiply the result by the number of magical chants (6): 18 Γ— 6 = 108.
Next, we multiply the result by 7: 108 Γ— 7 = 756.
After that, we multiply the result by 1: 756 Γ— 1 = 756.
Finally, we subtract 48 from the result: 756 - 48 = 708.
### Answer: 708

Expected answer: 708

Correct? Yes

πŸ”— Follow-up

Problem: Imagine in the initial mystical chant, instead of subtracting 5 from 23, you subtracted 5 from just 8, then continued with the rest of the magic formula exactly the same - multiplying by the number of chants and so forth. How would this adjustment impact the final power of the ring?

Llama 3 8B:

Reasoning: If we subtract 5 from 8 instead of 23, we get: 8 - 5 = 3.
Then, we multiply the result by the number of magical chants (6): 3 Γ— 6 = 18.
Next, we multiply the result by 7: 18 Γ— 7 = 126.
After that, we multiply the result by 1: 126 Γ— 1 = 126.
Finally, we subtract 48 from the result: 126 - 48 = 78.
### Answer: 78

Expected answer: 78

Correct? Yes

πŸ”— Problem

Problem: A child can make 15 cookies in one hour. If the child spends 24 hours making the cookies, how many cookies are made in total?

Llama 3 8B:

Reasoning: The child makes 15 cookies in one hour, so in 24 hours, the child will make 15 x 24 = <<15 x 24=360>>360 cookies.
### Answer: 360

Expected answer: 360

Correct? Yes

πŸ”— Follow-up

Problem: If the same child decides to increase their cookie production rate and can now make 40 cookies in one hour, how many cookies are made when they spend the same amount of time (24 hours) baking?

Llama 3 8B:

Reasoning: The child makes 40 cookies in one hour, so in 24 hours, the child will make 40 x 24 = <<40 x 24=960>>960 cookies.
### Answer: 960

Expected answer: 960

Correct? Yes

πŸ”— Problem

Problem: A silversmith has 16 silver rings in stock. He decided to create more rings and ended up with 28 silver and 24 gold rings. Then he subtracted from them the number of his original stock of silver rings. He traded some rings and ended up with 21 rings less than what he had after the creation stage. After that, for a special order, he created 26 times the number of rings he had left. In addition, he had made 7 platinum and 47 bronze rings for another order. How many rings does the silversmith have in total now?

Llama 3 8B:

Reasoning: Initially, the silversmith had 16 silver rings.
After creating more rings, he had 28 silver and 24 gold rings, for a total of 28 + 24 = 52 rings.
Then, he subtracted the original 16 silver rings, leaving him with 52 - 16 = 36 rings.
After trading, he had 36 - 21 = 15 rings.
For the special order, he created 26 times the number of rings he had left, which is 26 * 15 = 390 rings.
Adding the 390 rings to the 15 rings he had left, he now has 15 + 390 = 405 rings.
In addition, he made 7 platinum and 47 bronze rings, for a total of 7 + 47 = 54 rings.
Adding these to the 405 rings, the silversmith now has 405 + 54 = 459 rings in total.
### Answer: 459

Expected answer: 444

Correct? No

πŸ”— Problem

Problem: A gardener plants flowers in several rows. Each row contains 40 flowers, but due to the rough soil conditions only half of them grow properly. In total, 19 rows are planted this way. Additionally, the gardener plants another small batch of 18 bulbs in one corner and 48 in another corner of the garden. What is the difference between the total number of flowers in the rows and the small corners?

Llama 3 8B:

Reasoning: Each row has 40 flowers, but only half of them grow properly, so each row has 40/2 = 20 flowers that grow properly.
There are 19 rows, so the total number of flowers in the rows is 19 x 20 = 380.
The gardener also plants 18 + 48 = 66 flowers in the small corners.
The difference between the total number of flowers in the rows and the small corners is 380 - 66 = 314.
### Answer: 314

Expected answer: 314

Correct? Yes

πŸ”— Problem

Problem: In the forest, a certain bird lays an average of 11 eggs per month. This month, the bird laid 4 times the average. Due to extreme weather conditions, the forest welcoming committee distributed an additional 40 eggs to various nests to support the bird population. How many eggs are there in the forest this month?

Llama 3 8B:

Reasoning: The bird laid 4 times the average, which is 4 x 11 = 44 eggs.
The total number of eggs laid by the bird is 44.
Adding the 40 eggs distributed by the forest welcoming committee, the total number of eggs in the forest is 44 + 40 = 84.
### Answer: 84

Expected answer: 84

Correct? Yes

πŸ”— Follow-up

Problem: After examining the ground for fallen eggs, the forest rangers found more eggs which they distributed to the nests. They found 216 eggs in total, and divided them between 18 nests, before adding them to the initial number of eggs in the forest. How many eggs are there in the forest now?

Llama 3 8B:

Reasoning: The forest rangers found 216 eggs and divided them among 18 nests. To find the number of eggs per nest, we can divide 216 by 18: 216 Γ· 18 = 12.
Each nest received 12 eggs, so the total number of eggs added to the initial number is 12 x 18 = 216.
The initial number of eggs was 84, so the total number of eggs in the forest now is 84 + 216 = 300.
### Answer: 300

Expected answer: 96

Correct? No

πŸ”— Problem

Problem: You are mixing paints to create different shades. In one mixture, you have 41 drops of red paint. You then add 13 drops of white paint and the same amount of red paint as before. You take a sample of this mixture, which is 34 drops, and add that to a new mixture. Then take away the same amount of the 34 drop sample that you took originally. How many drops of paint are there in the new mixture?

Llama 3 8B:

Let's break this down step by step:

Initially, there are 41 drops of red paint.

You add 13 drops of white paint, so the total number of drops is now 41 + 13 = 54.

You add the same amount of red paint as before, which is 41 drops, so the total number of drops is now 54 + 41 = 95.

You take a sample of 34 drops from this mixture, leaving 95 - 34 = 61 drops.

You then take away the same amount of the 34-drop sample that you took originally, which is 34 - 34 = 0 drops. This doesn't change the number of drops in the new mixture.

So, the new mixture has 61 drops of paint.

### Answer: 61

Expected answer: 95

Correct? No

πŸ”— Problem

Problem: A small toy car factory made 32 toy cars on Monday, but only 27 on Tuesday. They multiply the difference by 49 to determine their weekly goal. The staff number in the factory is 12, and every staff member makes 9 toy cars a day. They add 45 to the total number of toy cars prepared by staff members. On Friday, they prepare 31 additional toy cars and add this to the weekly goal and staff prepared cars. How many toy cars in total were made in this process?

Llama 3 8B:

Reasoning: The difference in the number of toy cars made on Monday and Tuesday is 32 - 27 = 5.
The weekly goal is the difference multiplied by 49, which is 5 * 49 = 245.
The staff prepared toy cars on Monday, Tuesday, Wednesday, Thursday, and Friday. The total number of toy cars prepared by staff members is 12 * 9 * 5 = 540.
Adding 45 to the total number of toy cars prepared by staff members, we get 540 + 45 = 585.
On Friday, they prepared 31 additional toy cars, so the total number of toy cars prepared is 585 + 31 = 616.
The total number of toy cars made in this process is the sum of the weekly goal and the total number of toy cars prepared, which is 245 + 616 = 861.
### Answer: 861

Expected answer: 429

Correct? No

πŸ”— Problem

Problem: A farmer harvested 45 carrots in one day from his farm. He noticed that for every carrot over 44 per day, he can earn 29 dollars. How much would the farmer have earned if this continued?

Llama 3 8B:

Reasoning: The farmer harvested 45 carrots, which is 1 more than the 44 carrots he would have harvested to earn nothing extra. So, he earned 29 dollars for the 45th carrot.
### Answer: 29

Expected answer: 29

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from our previous scenario, let's suppose that the market rate for extra carrots has now changed. Now, for every carrot that the farmer harvests over 44 per day, he can earn 41 dollars instead of 29. How much would his new earnings be if he still harvested 45 carrots in one day?

Llama 3 8B:

Reasoning: The farmer still harvested 45 carrots, which is 1 more than the 44 carrots he would have harvested to earn nothing extra. So, he earned 41 dollars for the 45th carrot, which is 41 - 29 = 12 dollars more than he would have earned previously.
### Answer: 29 + 41 = 70

Expected answer: 41

Correct? No

πŸ”— Problem

Problem: In a sock factory, a worker started with 26 pairs of socks. Unfortunately, 50 pairs got torn and had to be discarded. The worker was able to produce 36 more pairs to replace them. Each pair of socks is sold for $37. After earning from the sock sales, the worker found a $13 bill on the floor. How much money does the worker have in total?

Llama 3 8B:

Reasoning: The worker started with 26 pairs of socks. 50 pairs got torn and had to be discarded, leaving 26 - 50 = -24 pairs. But the worker was able to produce 36 more pairs to replace them, so the total number of pairs is -24 + 36 = 12. This means the worker has 12 pairs of socks left.
Each pair of socks is sold for $37, so the total amount earned from sock sales is 12 x 37 = 444.
The worker found a $13 bill on the floor, so the total amount of money the worker has is 444 + 13 = 457.
### Answer: 457

Expected answer: 457

Correct? Yes

πŸ”— Follow-up

Problem: In the sock factory situation previously described, let's suppose that instead of selling each pair of socks for $37, they instead sold each pair for $40. How much money does the worker have in total now?

Llama 3 8B:

Reasoning: The worker started with 26 pairs of socks. 50 pairs got torn and had to be discarded, leaving 26 - 50 = -24 pairs. But the worker was able to produce 36 more pairs to replace them, so the total number of pairs is -24 + 36 = 12. This means the worker has 12 pairs of socks left.
Each pair of socks is sold for $40, so the total amount earned from sock sales is 12 x 40 = 480.
The worker found a $13 bill on the floor, so the total amount of money the worker has is 480 + 13 = 493.
### Answer: 493

Expected answer: 493

Correct? Yes

πŸ”— Problem

Problem: A jewelry maker starts with 38 beads to make a bracelet. However, the number of beads was not right, so she removed a number of beads equal to dividing 560 by 40. However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. After adjusting the count and removing some beads, she adds one more bead, and then 39 more. How many beads does the jewelry maker have now?

Llama 3 8B:

Reasoning: The jewelry maker removed a number of beads equal to dividing 560 by 40, which is 14. So, she had 38 - 14 = 24 beads left.
However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. So, she actually started with 38 + 15 = 53 beads.
After adjusting the count and removing some beads, she adds one more bead, and then 39 more. So, she has 53 - 14 + 1 + 39 = 79 beads now.
### Answer: 79

Expected answer: 79

Correct? Yes

πŸ”— Follow-up

Problem: In the continuation of the previous story, the jewelry maker decided to make another adjustment after adding beads to her bracelet. She then removed again the same number of beads she removed earlier, equal to dividing 560 by 40. After that, she finds a small box with an additional 20 beads in it that she decides to add to the bracelet. How many beads does the jewelry maker have now on her bracelet?

Llama 3 8B:

Reasoning: The jewelry maker removed the same number of beads she removed earlier, which is 14. So, she has 79 - 14 = 65 beads left.
Then, she adds 20 more beads to the bracelet, making a total of 65 + 20 = 85 beads.
### Answer: 85

Expected answer: 85

Correct? Yes

πŸ”— Follow-up

Problem: In a different scenario, suppose the jewelry maker initially had 50 beads instead of 38. She still removed a number of beads equal to 560 divided by 40. Afterwards, she realized she might have actually started with 15 more beads than she originally thought. After correcting her count and removing some beads, she added one more bead, and then 39 more beads. How many beads does the jewelry maker have now in this case?

Llama 3 8B:

Reasoning: The jewelry maker removed a number of beads equal to dividing 560 by 40, which is 14. So, she had 50 - 14 = 36 beads left.
However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. So, she actually started with 50 + 15 = 65 beads.
After adjusting the count and removing some beads, she adds one more bead, and then 39 more. So, she has 65 - 14 + 1 + 39 = 91 beads now.
### Answer: 91

Expected answer: 91

Correct? Yes

πŸ”— Problem

Problem: In an aquarium, there are initially 30 sharks. But then, 23 of them are moved to a different area of the aquarium. A few days later, an additional 14 sharks are brought in, followed by 3 more being moved to the other area. The number of sharks is then multiplied by 43 for a research study. What is the final figure for the research?

Llama 3 8B:

Reasoning: Initially, there are 30 sharks.
After 23 sharks are moved, there are 30 - 23 = 7 sharks left.
Then, 14 more sharks are brought in, making a total of 7 + 14 = 21 sharks.
After 3 more sharks are moved, there are 21 - 3 = 18 sharks left.
The number of sharks is then multiplied by 43, so the final figure is 18 * 43 = <<18*43=774>>.
### Answer: 774

Expected answer: 774

Correct? Yes

πŸ”— Follow-up

Problem: We are back at the aquarium again! Previously, we mentioned the number of sharks being multiplied by 43 for a research study. But this time, instead of multiplying by 43, the scientists made a mistake and only multiplied it by 4. What would the new figure for the experiment be?

Llama 3 8B:

Reasoning: The correct figure is 774 (from the previous problem).
If the scientists multiplied the correct figure by 4 instead of 43, the new figure would be 774 * 4 = <<774*4=3096>>.
### Answer: 3096

Expected answer: 72

Correct? No

πŸ”— Problem

Problem: In a puzzle game, each round you collect 150 points which are then divided by 10 to determine the number of gold coins you earn. After two rounds, you earned some gold coins. In the third round, you collected 28 emeralds and 14 sapphires but you had to sacrifice the same amount of gold coins as you earned in the first two rounds. How many emeralds and sapphires did you have left after the third round?

Llama 3 8B:

Reasoning: In the first two rounds, you earned 150 x 2 = 300 points, which is then divided by 10 to get 300/10 = 30 gold coins.
You sacrificed 30 gold coins in the third round, so you had 30 gold coins left.
You earned 28 emeralds and 14 sapphires in the third round, so you had 28 + 14 = 42 gems left.
### Answer: 28 emeralds and 14 sapphires.

Expected answer: 12

Correct? No

πŸ”— Problem

Problem: A train gets to carry 15 containers every day. On Fridays, the train gets to carry an extra 12 containers than usual. The following Monday, the train carries an additional 26 containers. However, on Wednesday, the load decreases by 32 containers. For a particular trip, the train is coupled with 2 more containers, and after it makes one stop, an additional 48 containers are loaded onto the train. How many containers is the train carrying at this point?

Llama 3 8B:

Reasoning: The train carries 15 containers every day. On Fridays, it carries 15 + 12 = 27 containers. The following Monday, it carries 27 + 26 = 53 containers. On Wednesday, it carries 53 - 32 = 21 containers. The train is coupled with 2 more containers, so it carries 21 + 2 = 23 containers. After making one stop, an additional 48 containers are loaded onto the train, so it carries 23 + 48 = 71 containers at this point.
### Answer: 71

Expected answer: 71

Correct? Yes

πŸ”— Problem

Problem: A lemon farmer had harvested 39 lemons in the morning and 33 in the afternoon. Unfortunately, 12 lemons got spoiled by the end of the day. The next day, the farmer used 23 lemons to make lemonade. How many lemons did he have left after making the lemonade?

Llama 3 8B:

Reasoning: The farmer harvested 39 lemons in the morning and 33 in the afternoon, so the total number of lemons harvested is 39 + 33 = 72.
After 12 lemons got spoiled, the farmer had 72 - 12 = 60 lemons left.
After using 23 lemons to make lemonade, the farmer had 60 - 23 = 37 lemons left.
### Answer: 37

Expected answer: 37

Correct? Yes

πŸ”— Follow-up

Problem: In our previous calculations, we found out how many lemons the farmer had left after some got spoiled and some were used to make lemonade. However, what if the farmer actually had 24 lemons get spoiled on the first day instead of 12? How many lemons would the farmer have left after making the lemonade?

Llama 3 8B:

Reasoning: The farmer harvested 39 lemons in the morning and 33 in the afternoon, so the total number of lemons harvested is 39 + 33 = 72.
After 24 lemons got spoiled, the farmer had 72 - 24 = 48 lemons left.
After using 23 lemons to make lemonade, the farmer had 48 - 23 = 25 lemons left.
### Answer: 25

Expected answer: 25

Correct? Yes

πŸ”— Problem

Problem: A bee lands on 33 flowers in an hour. If the bee is collecting 15 nectar droplets from each flower, how many nectar droplets does it have after an hour if it started with 26 nectar droplets?

Llama 3 8B:

Reasoning: The bee collects 15 nectar droplets from each flower, and it lands on 33 flowers in an hour. So, the bee collects 15 x 33 = 495 nectar droplets in an hour.
The bee started with 26 nectar droplets, so it has 26 + 495 = 521 nectar droplets after an hour.
### Answer: 521

Expected answer: 521

Correct? Yes

πŸ”— Follow-up

Problem: If instead of starting with 26 nectar droplets, the bee had initially found 49 nectar droplets before it started its hour of flower visits, how many nectar droplets would the bee have after an hour of collecting nectar from 33 flowers with 15 nectar droplets each?

Llama 3 8B:

Reasoning: The bee collects 15 nectar droplets from each flower, and it lands on 33 flowers in an hour. So, the bee collects 15 x 33 = 495 nectar droplets in an hour.
The bee initially finds 49 nectar droplets, and then it collects 495 more. So, the bee has 49 + 495 = 544 nectar droplets after an hour.
### Answer: 544

Expected answer: 544

Correct? Yes

πŸ”— Problem

Problem: A company produces 36 marshmallow packs in an hour. To meet a sudden increase in demand, they decide to increase their production. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. Additionally, they add another 6 marshmallow packs to their hourly production. But, due to some limitations, they end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?

Llama 3 8B:

Reasoning: Initially, the company produces 36 marshmallow packs per hour. They add 6 more packs per hour, so the new hourly production is 36 + 6 = 42 packs per hour. However, they end up producing 43 less packs per hour than their goal, so the actual hourly production is 42 - 43 = 1 pack less than their goal. The goal is not explicitly stated, but we can find it by calculating the total daily production. The company adds 350 marshmallows to their daily production, which is distributed evenly over 7 hours. This means they add 350/7 = 50 marshmallows per hour. The new hourly production is 42 packs per hour, and they add 50 marshmallows per hour, so the total hourly production is 42 + 50 = 92 packs per hour.
### Answer: 92

Expected answer: 49

Correct? No

πŸ”— Problem

Problem: A wizard casts a spell that produces 882 glimmering lights over a span of 21 days. That's an average of how many lights a day? In comparison, another wizard casts a spell that produces 460 glowing orbs in 20 days. What is the daily average here? Now, let's assume that the difference in their daily averages times the second wizard's daily average is a magical constant represented by 'n'. Can you find out what 'n' is?

Llama 3 8B:

Reasoning: To find the daily average for the first wizard, we divide the total number of lights (882) by the number of days (21):

882 Γ· 21 = 42

So, the first wizard casts an average of 42 lights per day.

For the second wizard, we divide the total number of orbs (460) by the number of days (20):

460 Γ· 20 = 23

So, the second wizard casts an average of 23 orbs per day.

Now, let's find the difference in their daily averages:

42 - 23 = 19

The daily average difference is 19. To find the magical constant 'n', we multiply the daily average difference by the daily average of the second wizard:

19 Γ— 23 = 437

### Answer: n = 437

Expected answer: 437

Correct? Yes

πŸ”— Problem

Problem: A candy factory has 20 different flavors of candy. Their bestselling flavors are the Sugar Rush, which has 14 different base ingredients, the Candy Twirl, which has 25 base ingredients, and the Jawbreaker, which has 16 base ingredients. They create a Special Mix which combines all of these bestsellers and adds 43 extra goodies, including sprinkles and marshmallows. To create a limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, then combine this with one of each flavor from their 20 different flavored candies (excluding 19 of them so it's not too overwhelming). They then top it all off by removing 3 experimental sweets that didn't taste quite right. What is the count of various components used in creating this limited edition candy?

Llama 3 8B:

Let's break down the components:

1. Base ingredients from Sugar Rush: 14
2. Base ingredients from Candy Twirl: 25
3. Base ingredients from Jawbreaker: 16
4. Extra goodies (sprinkles and marshmallows): 43
5. Uniquely crafted sweets: 7
6. One of each flavor from the 20 different flavored candies (excluding 19): 1
7. Experimental sweets removed: 3

Total count of various components:

14 + 25 + 16 + 43 + 7 + 1 - 3 = 103

### Answer: 103

Expected answer: 103

Correct? Yes

πŸ”— Follow-up

Problem: Further consider the candy factory's process. If instead of the Jawbreaker having 16 base ingredients, it had 23 base ingredients instead, then how many different components would be used in creating the same limited edition candy as before?

Llama 3 8B:

Let's recalculate the components:

1. Base ingredients from Sugar Rush: 14
2. Base ingredients from Candy Twirl: 25
3. Base ingredients from Jawbreaker: 23
4. Extra goodies (sprinkles and marshmallows): 43
5. Uniquely crafted sweets: 7
6. One of each flavor from the 20 different flavored candies (excluding 19): 1
7. Experimental sweets removed: 3

Total count of various components:

14 + 25 + 23 + 43 + 7 + 1 - 3 = 114

### Answer: 114

Expected answer: 110

Correct? No

πŸ”— Problem

Problem: In a special operation, 32 police officers were assigned to the north district, 33 were sent to the south district, and 29 officers were held for the downtown district. After the operation, 21 officers from the downtown district were transferred elsewhere. A week later, on a different assignment, 39 officers were added to the remaining duty force. Later that day, another 14 officers joined the force. How many officers were on duty by the end of the day?

Llama 3 8B:

Reasoning: Initially, there were 32 + 33 + 29 = <<32+33+29=94>>94 officers.
After 21 officers were transferred, there were 94 - 21 = <<94-21=73>>73 officers.
After 39 officers were added, there were 73 + 39 = <<73+39=112>>112 officers.
After 14 more officers joined, there were 112 + 14 = <<112+14=126>>126 officers.
### Answer: 126

Expected answer: 126

Correct? Yes

πŸ”— Follow-up

Problem: The previous problem had us determine the total number of police officers on duty under certain conditions. Now, let's imagine a slightly different scenario. Like the previous situation, there were still 32 officers assigned to the north district and 33 sent to the south. The number for the downtown district was also the same, at 29. However, this time around, only 21 officers from the total force were transferred elsewhere instead of the original scenario's subtraction. A week later, an additional 22 officers, fewer than the 39 from the original scenario, were brought in for a different assignment. That same day, another addition of 14 officers was made, just like with the initial series of events. New question: How many officers total were on duty by the end of the day in this amended scenario?

Llama 3 8B:

Reasoning: Initially, there were 32 + 33 + 29 = <<32+33+29=94>>94 officers.
After 21 officers were transferred, there were 94 - 21 = <<94-21=73>>73 officers.
After 22 officers were added, there were 73 + 22 = <<73+22=95>>95 officers.
After 14 more officers joined, there were 95 + 14 = <<95+14=109>>109 officers.
### Answer: 109

Expected answer: 109

Correct? Yes

πŸ”— Problem

Problem: The distance between the Moon and the Earth changes throughout the month. On one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. Then it increased again by 11 million kilometers. If that distance, in millions of kilometers, times 19 minus 27 equals to a certain value, what is the value?

Llama 3 8B:

Reasoning: Let's break down the information given:
- The distance between the Moon and the Earth was initially 36 million kilometers.
- It decreased by 19 million kilometers, so the new distance is 36 - 19 = 17 million kilometers.
- Then, it increased by 11 million kilometers, so the final distance is 17 + 11 = 28 million kilometers.
- The problem asks us to find the value of (28 * 19) - 27.
- We can calculate this value by multiplying 28 by 19 and then subtracting 27:
(28 * 19) - 27 = 532 - 27 = 505
### Answer: 505

Expected answer: 505

Correct? Yes

πŸ”— Follow-up

Problem: In the scenario mentioned earlier about the distance between the Moon and the Earth: on one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. It further increased by 11 million kilometers. Previously we calculated that distance, in millions of kilometers, times 19 and subtracted 27. But what if, instead of subtracting 27, we were to subtract 45? What would be the new value of the total distance?

Llama 3 8B:

Reasoning: We already calculated the final distance between the Moon and the Earth as 28 million kilometers. If we want to find the value of the distance, in millions of kilometers, times 19 minus 45, we can plug in the value of the distance:

28 * 19 - 45

We can calculate this value by multiplying 28 by 19 and then subtracting 45:

(28 * 19) - 45 = 532 - 45 = 487

### Answer: 487

Expected answer: 487

Correct? Yes

πŸ”— Problem

Problem: A tiger has an average step length of 9 meters. If a tiger took two steps and then leaped 44 meters, it would have covered a certain distance. Another tiger covered a distance combining 23 meters with a leap and a 46-meter run but then retraces the distance equal to the first tiger's steps and the leap. How much distance did the second tiger cover finally?

Llama 3 8B:

Reasoning: The first tiger took 2 steps of 9 meters each, which is 2 x 9 = 18 meters. Then it leaped 44 meters, so the total distance covered is 18 + 44 = 62 meters.

The second tiger covered a distance of 23 meters, then leaped, and then ran 46 meters. This is a total of 23 + ? + 46 = 69 meters. Then, it retraced the distance equal to the first tiger's steps and the leap, which is 18 meters. So, the second tiger covered a total distance of 69 - 18 = 51 meters.

### Answer: 51

Expected answer: 7

Correct? No

πŸ”— Problem

Problem: A toothpaste factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive?

Llama 3 8B:

Reasoning: On Sunday, they produced (26 * 7) + 8 = 182 tubes.
On Monday, they produced 182 + 31 = 213 tubes.
In the packaging department, they have 50 - 19 = 31 boxes.
The total number of toothpaste tubes ready is 31 + 213 = 244 tubes.
On Tuesday, they produced an additional 48 tubes.
The total number of produced toothpaste tubes until Tuesday, inclusive, is 244 + 48 = 292 tubes.
### Answer: 292

Expected answer: 300

Correct? No

πŸ”— Problem

Problem: In a magical forest, a unicorn has 42 rainbow pebbles. A day later, it finds 26 more. It also has a stash of 44 dreamberries. Later on, the unicorn gathers 33 more rainbow pebbles and adds them with its stash of dreamberries. Finally, the unicorn finds 40 magical dandelions and adds them to his stash, but oh no, he loses 14! How many items does the unicorn have altogether after these events?

Llama 3 8B:

Reasoning: Initially, the unicorn has 42 rainbow pebbles.
After finding 26 more, it has 42 + 26 = 68 rainbow pebbles.
It also has a stash of 44 dreamberries.
Later, it gathers 33 more rainbow pebbles and adds them to its stash, making it 68 + 33 = 101 rainbow pebbles.
It adds its stash of dreamberries to the rainbow pebbles, making it 101 + 44 = 145 items.
Finally, it finds 40 magical dandelions and adds them to its stash, making it 145 + 40 = 185 items.
However, it loses 14 items, so it has 185 - 14 = 171 items left.
### Answer: 171

Expected answer: 171

Correct? Yes

πŸ”— Follow-up

Problem: In the previous magical scenario, consider that instead of initially having 42 rainbow pebbles, the unicorn started with just 40. It still finds 26 more the following day. Maintaining his stash of 44 dreamberries, the unicorn still accumulates 33 more rainbow pebbles and adds them to the dreamberries. Once again, the unicorn ventures to obtain an additional 40 magical dandelions, but unfortunately, he loses 14. After these events, how many items does the unicorn have?

Llama 3 8B:

Reasoning: Initially, the unicorn has 40 rainbow pebbles.
After finding 26 more, it has 40 + 26 = 66 rainbow pebbles.
It also has a stash of 44 dreamberries.
Later, it gathers 33 more rainbow pebbles and adds them to its stash, making it 66 + 33 = 99 rainbow pebbles.
It adds its stash of dreamberries to the rainbow pebbles, making it 99 + 44 = 143 items.
Finally, it finds 40 magical dandelions and adds them to its stash, making it 143 + 40 = 183 items.
However, it loses 14 items, so it has 183 - 14 = 169 items left.
### Answer: 169

Expected answer: 169

Correct? Yes

πŸ”— Problem

Problem: A pirate captain has a treasure chest containing 23 types of jewels. Each type has 28 jewels. Tired from his adventure, he mistakenly lost 40 jewels on his way back to his ship. The next day, he luckily found 16 jewels from a deserted island. How many jewels does he have now in his treasure chest?

Llama 3 8B:

Reasoning: The pirate captain has 23 types of jewels, and each type has 28 jewels, so he has a total of 23 x 28 = 644 jewels initially.
He lost 40 jewels, so he has 644 - 40 = 604 jewels left.
He found 16 jewels, so he now has 604 + 16 = 620 jewels.
### Answer: 620

Expected answer: 620

Correct? Yes

πŸ”— Follow-up

Problem: Following the discovery of additional jewels, the pirate captain realized he had miscalculated the number of types of jewels in his original stash. Instead of 23 types of jewels, he remembered that he actually only had 17 types originally, with each type still containing 28 jewels. After recalculating his treasure and still taking into account the loss of 40 jewels and the 16 he found on a deserted island, how many jewels does he have now?

Llama 3 8B:

Reasoning: The pirate captain originally had 17 types of jewels, and each type had 28 jewels, so he had a total of 17 x 28 = 476 jewels initially.
He lost 40 jewels, so he has 476 - 40 = 436 jewels left.
He found 16 jewels, so he now has 436 + 16 = 452 jewels.
### Answer: 452

Expected answer: 452

Correct? Yes

πŸ”— Problem

Problem: In a distant galaxy, a star shines brightly with 38 neutrons. It then gains 4 more. This total number gets multiplied by 18 to create a sensational energy output. During an explosion, it additionally releases the energy equivalent to 6 plus 25. How much total energy does the star emit?

Llama 3 8B:

Reasoning: The star starts with 38 neutrons and gains 4 more, so the total number of neutrons is 38 + 4 = 42.
The energy output is the total number of neutrons multiplied by 18, which is 42 * 18 = 756.
The star also releases energy equivalent to 6 + 25 = 31.
The total energy emitted is the energy output plus the additional energy released, which is 756 + 31 = 787.
### Answer: 787

Expected answer: 787

Correct? Yes

πŸ”— Follow-up

Problem: Now consider instead that the star had only 38 neutrons initially, and then it gains only 4 more. This total number is then multiplied by 10, for a lower energy output. During an explosion, it still releases additional energy equivalent to 6 plus 25. Now, how much total energy does the star emit?

Llama 3 8B:

Reasoning: The star starts with 38 neutrons and gains 4 more, so the total number of neutrons is 38 + 4 = 42.
The energy output is the total number of neutrons multiplied by 10, which is 42 * 10 = 420.
The star also releases energy equivalent to 6 + 25 = 31.
The total energy emitted is the energy output plus the additional energy released, which is 420 + 31 = 451.
### Answer: 451

Expected answer: 451

Correct? Yes

πŸ”— Problem

Problem: A gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. How many did he end up with?

Llama 3 8B:

Reasoning: First, let's calculate the number of additional sunflowers the gardener needed to plant. This is given by 37 * 5 - 18 = 155.
The gardener then subtracted 10 from this number, so he needed to plant 155 - 10 = 145 more sunflowers.
Adding these to the initial 13 sunflowers, the total number of sunflowers is 145 + 13 = 158.
The gardener also needed to calculate the number of spots for his orchids. This is given by 92 / 23 = 4.
The total number of plants the gardener worked on is the sum of the sunflowers and the spots, which is 158 + 4 = 162.
Finally, the gardener doubled this total, so the final answer is 162 * 2 = 324.
### Answer: 324

Expected answer: 348

Correct? No

πŸ”— Problem

Problem: In a particular pond, there are 18 frogs. Each frog can catch 21 flies in a day. How many flies do all the frogs catch in a day?

Llama 3 8B:

Reasoning: Each frog can catch 21 flies in a day, and there are 18 frogs. To find the total number of flies caught, we multiply the number of frogs by the number of flies each frog can catch: 18 x 21 = <<18 x 21=378>>.
### Answer: 378

Expected answer: 378

Correct? Yes

πŸ”— Follow-up

Problem: Using the initial information from the previous problem where 18 frogs catch 21 flies each in a day (resulting in a total of 'j' flies), imagine the scenario where a particularly voracious toad comes by the next day and catches an additional 39 flies. How many flies have been caught in total over the two days then?

Llama 3 8B:

Reasoning: On the first day, the 18 frogs caught a total of 378 flies (as calculated earlier). On the second day, the toad caught an additional 39 flies. To find the total number of flies caught over the two days, we add the number of flies caught on the first day to the number of flies caught on the second day: 378 + 39 = <<378 + 39=417>>.
### Answer: 417

Expected answer: 417

Correct? Yes

πŸ”— Follow-up

Problem: Using the information from the previous problem, now consider if the number of frogs in the pond increased to 46. If each frog can still catch 21 flies in a day, how many flies do all the frogs catch in a day now?

Llama 3 8B:

Reasoning: The number of flies each frog can catch remains the same, which is 21 flies per day. The number of frogs has increased to 46. To find the total number of flies caught, we multiply the new number of frogs by the number of flies each frog can catch: 46 x 21 = <<46 x 21=966>>.
### Answer: 966

Expected answer: 966

Correct? Yes

πŸ”— Problem

Problem: A community center has 21 chairs in their main meeting room. They are supplemented with an additional 22 chairs from the storage room for a large event. How many chairs are in the meeting room now for the event?

Llama 3 8B:

Reasoning: The community center already has 21 chairs in the main meeting room. They are adding 22 more chairs from the storage room. To find the total number of chairs, we add the two numbers together: 21 + 22 = 43.
### Answer: 43

Expected answer: 43

Correct? Yes

πŸ”— Follow-up

Problem: Now, instead of starting with 21 chairs in the main meeting room at the community center, suppose they had only 12 chairs. They still supplement with an additional 22 chairs from the storage room for the event. How many chairs are in the meeting room now for the event?

Llama 3 8B:

Reasoning: The community center already has 12 chairs in the main meeting room. They are adding 22 more chairs from the storage room. To find the total number of chairs, we add the two numbers together: 12 + 22 = 34.
### Answer: 34

Expected answer: 34

Correct? Yes

πŸ”— Problem

Problem: There are 14 elephants in a conservation park. This year, 11 new baby elephants were born, and the park received 25 more elephants from various rescues. How many elephants are there in the park now?

Llama 3 8B:

Reasoning: Initially, there were 14 elephants in the park.
11 new baby elephants were born, so the total number of elephants becomes 14 + 11 = 25.
The park received 25 more elephants, so the total number of elephants becomes 25 + 25 = 50.
### Answer: 50

Expected answer: 50

Correct? Yes

πŸ”— Follow-up

Problem: Unfortunately, due to unfortunate circumstances, 27 elephants had to be relocated to different parks over the course of the year. How many elephants are left in the park now?

Llama 3 8B:

Reasoning: Initially, there were 50 elephants in the park.
27 elephants were relocated, so the total number of elephants becomes 50 - 27 = 23.
### Answer: 23

Expected answer: 23

Correct? Yes

πŸ”— Follow-up

Problem: Suppose initially, there were 38 elephants in the conservation park instead of 14. If the park still received 11 new baby elephants and 25 more elephants from various rescues this year, how many elephants would there be in the park now?

Llama 3 8B:

Reasoning: Initially, there were 38 elephants in the park.
11 new baby elephants were born, so the total number of elephants becomes 38 + 11 = 49.
The park received 25 more elephants, so the total number of elephants becomes 49 + 25 = 74.
### Answer: 74

Expected answer: 74

Correct? Yes

πŸ”— Problem

Problem: A treasure chest contains 23 emeralds and 30 diamonds. Unfortunately, 39 of the stones are fake and had to be removed. The number of real stones left (y) is multiplied by itself and then 37 is subtracted to get a number (g) that represents the value of the chest. In another chest, there were 540 rubies which have been equally shared amongst 45 pirates, and then 3 are lost in the division. The remaining number (x) is subtracted from the value of the first chest (g) to get a new value. In the same chest as the rubies, there were also 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. The count (s) is subtracted from the new value to determine the value (m) of the remaining treasure. What is the value (m) of the remaining treasure?

Llama 3 8B:

Let's break it down step by step:

1. The first chest:
Natalia removed 39 fake stones. The total number of stones was 23 emeralds + 30 diamonds = 53 stones. So, 53 - 39 = 14 real stones left.
The value of the chest is g = y^2 - 37, where y is the number of real stones. Since there are 14 real stones, y = 14, and g = 14^2 - 37 = 196 - 37 = 159.

2. The second chest:
There were 540 rubies, which were shared equally among 45 pirates. Since 3 rubies were lost, the remaining number of rubies is 540 - 3 = 537. This is subtracted from the value of the first chest: 159 - 537 = -378.

3. The same chest:
There were 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. The count is s = 23 + 11 - 9 = 25. The value of the remaining treasure is m = -378 - 25 = -403.

### Answer: -403

Expected answer: 125

Correct? No

πŸ”— Problem

Problem: There are 6 confirmed UFO sightings in a small city. After a viral event, sightings increase by a daily average obtained by dividing an additional 504 sightings over the next 14 days. Subtract the initial confirmed sightings from this new daily average. Then, multiply it by the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number you would typically dismiss as random (3). How many sightings are there according to this calculation?

Llama 3 8B:

Reasoning: The new daily average is 504/14 = 36.
Subtract the initial confirmed sightings from this new daily average: 36 - 6 = 30.
Multiply it by the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number you would typically dismiss as random (3): 30 * (9 - 3) = 30 * 6 = 180.
### Answer: 180

Expected answer: 180

Correct? Yes

πŸ”— Follow-up

Problem: After reconsideration, the investigator noticed a mistake in the calculations. They remembered that the maximum number of sightings recorded in one day was actually 35, not 9. If they corrected their mistake and subtracted 3 from 35 instead, and then multiplied by the previously calculated daily increase, what would be the corrected calculated number of sightings?

Llama 3 8B:

Reasoning: Corrected daily increase: 30 * (35 - 3) = 30 * 32 = 960.
### Answer: 960

Expected answer: 960

Correct? Yes

πŸ”— Problem

Problem: A blanket maker has 5 square patches of blue material. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. Then, she wants to compare this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. How many patches is the difference between her stock of green patches and the red patches needed for the design?

Llama 3 8B:

Reasoning: First, we need to find the number of red patches needed for the design. The maker has 5 blue patches, and she needs to subtract this from 26*25 red patches. So, the number of red patches needed is:
26*25 - 5 = 625 - 5 = 620

Next, we need to find the number of green patches. The maker has 48*21 green patches. Now, we need to subtract the number of red patches from the green patches to find the difference:
48*21 - 620 = 1008 - 620 = 388

### Answer: 388

Expected answer: 363

Correct? No

πŸ”— Problem

Problem: Lemonville is a small village known for its lemon trees. One year, the villagers picked 38 baskets of lemons from the trees near the river and 24 baskets from the ones near an old well. From the trees near the school, they picked 16 more baskets and from the trees near the mayor's house, they picked 13 more baskets. They realized that their lemons were heavier and they could extract more juice so they decided to get 35 baskets to make lemonade. If each basket of lemons could produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets?

Llama 3 8B:

Reasoning: The villagers picked a total of 38 + 24 + 16 + 13 = 91 baskets of lemons.
They decided to use 35 baskets to make lemonade.
The remaining baskets are 91 - 35 = 56 baskets.
Each basket can produce 14 bottles of lemonade, so the remaining baskets can produce 56 x 14 = 784 bottles of lemonade.
### Answer: 784

Expected answer: 784

Correct? Yes

πŸ”— Follow-up

Problem: The villagers in Lemonville reconsidered their previous decision and determined that they would only need 23 baskets of lemons, instead of their initial estimation of 35 baskets, to make their village famous lemonade. If each basket of lemons could still produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets now?

Llama 3 8B:

Reasoning: The villagers picked a total of 91 baskets of lemons.
They decided to use 23 baskets to make lemonade.
The remaining baskets are 91 - 23 = 68 baskets.
Each basket can produce 14 bottles of lemonade, so the remaining baskets can produce 68 x 14 = 952 bottles of lemonade.
### Answer: 952

Expected answer: 952

Correct? Yes

πŸ”— Problem

Problem: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She also found an additional 49. Being a generous sister, she gave 23 to her brother and 27 to her cousin. How many seashells does Amy have left now?

Llama 3 8B:

Reasoning: Amy had 21 seashells initially, but gave 15 to her sister, so she had 21 - 15 = 6 seashells left.
The next day, she found 13 more than the amount she had remaining, which is 6, so she found 6 + 13 = 19 seashells.
She also found an additional 49 seashells, so in total she had 6 + 19 + 49 = 74 seashells.
She gave 23 to her brother and 27 to her cousin, so she gave a total of 23 + 27 = 50 seashells.
Amy has 74 - 50 = 24 seashells left now.
### Answer: 24

Expected answer: 18

Correct? No

πŸ”— Problem

Problem: Princess Anna was playing a numbers game in the kingdom. In the first round of the game, she thought of two numbers: 7 and 10. She added them together. In the second round, she thought of a number 29. She subtracted the result from the first round and then subtracted 8 more from that result. In the final round, Princess Anna added the results from the first and second round and then multiplied the sum by the result from the second round. What was the final result of the Princess's game?

Llama 3 8B:

Reasoning: In the first round, Princess Anna added 7 and 10, which gives us 17.
In the second round, she subtracted the result from the first round (17) from 29, which gives us 29 - 17 = 12. Then, she subtracted 8 from that result, which gives us 12 - 8 = 4.
In the final round, she added the results from the first and second round, which gives us 17 + 4 = 21. Then, she multiplied the sum by the result from the second round, which gives us 21 * 4 = 84.
### Answer: 84

Expected answer: 84

Correct? Yes

πŸ”— Follow-up

Problem: Following the princess' first game, her little sister, Princess Bella, wanted to join in with her own twist. Bella did as follows: In the first round, Bella copied Anna and added the same two numbers: 7 and 10 together. For the second round, sister Bella thought of the number 33. Just like Anna, She subtracted the result from the first round and then decreased it by 8. In the final round, Princess Bella, like Anna, added the results from the first and second round. Then, she multiplied the sum by the result from her modified second round. What was the final result of Princess Bella's game?

Llama 3 8B:

Reasoning: In the first round, Bella added 7 and 10, which gives us 17 (just like Anna).
In the second round, she subtracted the result from the first round (17) from 33, which gives us 33 - 17 = 16. Then, she subtracted 8 from that result, which gives us 16 - 8 = 8.
In the final round, she added the results from the first and second round, which gives us 17 + 8 = 25. Then, she multiplied the sum by the result from the second round, which gives us 25 * 8 = 200.
### Answer: 200

Expected answer: 200

Correct? Yes

πŸ”— Problem

Problem: Ellen had 15 dollars. Meanwhile, Sam had 48 dollars but then he gave some money to Ellen. After Sam gave his money to Ellen, he had as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. How much money does Sam have now?

Llama 3 8B:

Reasoning: Let's say Sam gave x dollars to Ellen. Then, Ellen had 15 + x dollars and Sam had 48 - x dollars. Since Sam had as much money as Ellen originally had after giving the money, we can set up the equation 48 - x = 15. Solving for x, we get x = 33. So Sam gave 33 dollars to Ellen. Ellen now has 15 + 33 = 48 dollars. Sam has 48 - 33 = 15 dollars. After getting 24 dollars from his brother, Sam has 15 + 24 = 39 dollars.
### Answer: 39

Expected answer: 57

Correct? No

πŸ”— Problem

Problem: A group of scientists began studying a river and found that it was 33 kilometers long. To be thorough, they decided to also study a connected tributary, which added 19 kilometers to the total length of waterway they needed to investigate. However, they later realized that a 30-kilometer portion of the river was inaccessible and couldn't be studied. How many kilometers of the river were they able to study?

Llama 3 8B:

Reasoning: The total length of the river and tributary is 33 + 19 = 52 kilometers.
However, 30 kilometers of the river is inaccessible, so we need to subtract that from the total length.
52 - 30 = 22 kilometers.
### Answer: 22

Expected answer: 22

Correct? Yes

πŸ”— Follow-up

Problem: After finishing the initial survey, the team of scientists received a special permit to investigate an additional stretch of the river 32 kilometers long that was previously off limits. In total, how many kilometers of the river were the scientists able to study?

Llama 3 8B:

Reasoning: The team was initially able to study 22 kilometers of the river.
They then received a permit to study an additional 32 kilometers.
22 + 32 = 54 kilometers.
### Answer: 54

Expected answer: 54

Correct? Yes

πŸ”— Follow-up

Problem: Suppose instead that the inaccessible portion of the river that the scientists were unable to study was 26 kilometers, not 30. How many kilometers of the river would they have been able to study under these conditions?

Llama 3 8B:

Reasoning: The total length of the river and tributary is 33 + 19 = 52 kilometers.
However, 26 kilometers of the river is inaccessible, so we need to subtract that from the total length.
52 - 26 = 26 kilometers.
### Answer: 26

Expected answer: 26

Correct? Yes

πŸ”— Problem

Problem: A photographer took 34 shots at a wedding but decided to remove 19 of them because they were out of focus. The next day he took an additional 21 shots at a different event. Then, he decided to add to this collection, 23 more shots he took on a third event. Similarly, another photographer took 880 shots at a large event and decided to select every 40th shot for his collection. What is the total number of shots in their collections combined?

Llama 3 8B:

Reasoning: The first photographer took 34 shots initially, then removed 19, leaving 34 - 19 = 15 shots. He then took 21 more shots, making a total of 15 + 21 = 36 shots. He added 23 more shots, making a total of 36 + 23 = 59 shots.
The second photographer took every 40th shot from 880 shots, which means he took 880 / 40 = 22 shots.
The total number of shots in their collections combined is 59 + 22 = 81 shots.
### Answer: 81

Expected answer: 81

Correct? Yes

πŸ”— Follow-up

Problem: Recalling the photographers from the previous problems. Suppose the second photographer decided to select every 28th shot instead of every 40th shot for his collection from the large event where he took 880 shots. Now, what is the total number of shots in their collections combined after this modification?

Llama 3 8B:

Reasoning: The second photographer took every 28th shot from 880 shots, which means he took 880 / 28 = 31 shots.
The total number of shots in the first photographer's collection remains the same, which is 59 shots.
The total number of shots in their collections combined is 59 + 31 = 90 shots.
### Answer: 90

Expected answer: 633/7

Correct? No

πŸ”— Problem

Problem: A pirate found a treasure chest containing 3 times the amount of his previous loot of 13 gold coins. After spending 22 of these coins for the crew's rum, he discovered another loot of 47 gold coins. How many gold coins does the pirate have now?

Llama 3 8B:

Reasoning: The pirate's previous loot was 13 gold coins. He found a treasure chest containing 3 times that amount, which is 3 x 13 = 39 gold coins. So, he now has 13 + 39 = 52 gold coins. After spending 22 coins, he has 52 - 22 = 30 gold coins left. Then, he found another loot of 47 gold coins, so he now has 30 + 47 = 77 gold coins.
### Answer: 77

Expected answer: 64

Correct? No

πŸ”— Problem

Problem: A hiker traveled an average of 900 miles in 36 days. One day, he increases his daily average to 16 miles. This reduces his remaining journey by a certain number of days. After that, he finds a shortcut which saves him an additional 4 days, and a friendly traveller advised him of another path that will save him 40 days. If he also saves 21 days due to good weather, how many days in total did he save on his journey?

Llama 3 8B:

Reasoning: The hiker's original average was 900 miles in 36 days, so his original daily average was 900/36 = 25 miles.
After increasing his daily average to 16 miles, he will cover 16 miles in a day. Since he has already covered 25 miles in a day, he will cover the remaining distance in fewer days. Let's calculate the number of days he will take to cover the remaining distance:
Remaining distance = Total distance - distance covered so far
= 900 - (25 * 36)
= 900 - 900
= 0
Since he has already covered the total distance, he will take 0 days to cover the remaining distance. This means he will save 36 - 0 = 36 days.
After finding a shortcut, he saves an additional 4 days.
After a friendly traveller advises him of another path, he saves 40 days.
After good weather, he saves 21 days.
Total days saved = 36 + 4 + 40 + 21
= 101
### Answer: 101

Expected answer: 74

Correct? No

πŸ”— Problem

Problem: A pillow manufacturing company produces 33 pillows every hour in round the clock operations. In a day, they realized they had incurred a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?

Llama 3 8B:

Reasoning: The company produces 33 pillows every hour. Since it operates round the clock, it produces pillows for 24 hours in a day. So, the total number of pillows produced in a day is 33 x 24 = 792.
However, the company incurred a loss of 43 pillows due to machine errors. To find the total number of pillows produced after accounting for the losses, we subtract the loss from the total number of pillows produced: 792 - 43 = 749.
### Answer: 749

Expected answer: 749

Correct? Yes

πŸ”— Follow-up

Problem: The pillow manufacturing company decides to adjust their production rate to be consistent with worker shifts, producing 24 pillows every hour instead. However, they still incur a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?

Llama 3 8B:

Reasoning: The company produces 24 pillows every hour. Since it operates for 24 hours in a day, the total number of pillows produced in a day is 24 x 24 = 576.
However, the company still incurs a loss of 43 pillows due to machine errors. To find the total number of pillows produced after accounting for the losses, we subtract the loss from the total number of pillows produced: 576 - 43 = 533.
### Answer: 533

Expected answer: 533

Correct? Yes

πŸ”— Problem

Problem: In a Castle, there are 5 rooms in one wing. The other wing has 216 bricks. Nowadays, there's a strange rule: one room is equivalent to 36 bricks. Following this, if we have to calculate the sum of total rooms from both wings by converting the number of bricks to the number of rooms. How many rooms would be considered in total according to this rule?

Llama 3 8B:

Reasoning: The other wing has 216 bricks. According to the rule, one room is equivalent to 36 bricks. So, we can convert the number of bricks to the number of rooms by dividing the number of bricks by 36.
216/36 = 6
So, the other wing has 6 rooms.
The first wing has 5 rooms.
The total number of rooms is the sum of the rooms in both wings: 5 + 6 = 11
### Answer: 11

Expected answer: 11

Correct? Yes

πŸ”— Follow-up

Problem: In the same castle, there is a hidden underground passage which has 9 rooms. After discovering these, if you count all the rooms: the original five, the ones found in the second wing when converting the number of bricks to rooms, and these new rooms from the underground passage together. How many rooms are there in the castle in total?

Llama 3 8B:

Reasoning: We already know that the first wing has 5 rooms and the second wing has 6 rooms (after converting the number of bricks to rooms).
The underground passage has 9 rooms.
To find the total number of rooms, we add the rooms from all three locations: 5 + 6 + 9 = 20
### Answer: 20

Expected answer: 20

Correct? Yes

πŸ”— Follow-up

Problem: Suppose when we originally counted, we made a mistake and there were actually 35 rooms in the first wing of the castle, not 5. If we still convert the bricks in the second wing into the equivalent number of rooms and add them to this new total, how many rooms are now in the castle excluding the underground passage rooms?

Llama 3 8B:

Reasoning: The other wing has 216 bricks. According to the rule, one room is equivalent to 36 bricks. So, we can convert the number of bricks to the number of rooms by dividing the number of bricks by 36.
216/36 = 6
So, the other wing has 6 rooms.
The first wing has 35 rooms.
The total number of rooms is the sum of the rooms in both wings: 35 + 6 = 41
### Answer: 41

Expected answer: 41

Correct? Yes

πŸ”— Problem

Problem: A player scored 15 goals each over 31 matches. However, due to an error, 43 of the goals were discounted. Later, the error was rectified and 40 goals were awarded back to the player. Unfortunately, after a reevaluation of the matches, 26 of those goals were deducted from the player again. How many goals does the player end up with?

Llama 3 8B:

Reasoning: Initially, the player scored 15 goals per match, so the total number of goals scored is 15 x 31 = 465.
After 43 goals were discounted, the player had 465 - 43 = 422 goals.
Then, 40 goals were awarded back to the player, so the player now has 422 + 40 = 462 goals.
Finally, 26 goals were deducted from the player, so the player ends up with 462 - 26 = 436 goals.
### Answer: 436

Expected answer: 436

Correct? Yes

πŸ”— Follow-up

Problem: The player from the previous question, with his total number of goals determined, got involved in a contest where the goal tally he had counted as points with a multiplier attached. If that multiplier was 1, how many points did he get in the contest?

Llama 3 8B:

Reasoning: The player has a total of 436 goals.
If the multiplier is 1, then the points are simply the total number of goals, which is 436.
### Answer: 436

Expected answer: 436

Correct? Yes

πŸ”— Problem

Problem: An aquarium has 9 tanks, each with 49 fish. However, 5 of the fish in one tank are relocated. What is the new total number of fish in the aquarium?

Llama 3 8B:

Reasoning: Initially, there are 9 tanks with 49 fish each, so the total number of fish is 9 x 49 = 9 x 50 - 5 = 445 - 5 = 440.
After 5 fish are relocated, the total number of fish remains the same, which is 440.
### Answer: 440

Expected answer: 436

Correct? No

πŸ”— Problem

Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. How many cards does Jeremy have now?

Llama 3 8B:

Reasoning: Jeremy initially has 14 cards.
He discards 19 cards, leaving him with 14 - 19 = -5 cards.
Then, he gains 32 cards, so he now has -5 + 32 = 27 cards.
### Answer: 27

Expected answer: 27

Correct? Yes

πŸ”— Follow-up

Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. In the next moved, Jeremy was fortunate enough to be given 7 more cards and found 12 more discarded cards on the table, which he added to his deck. How many cards does Jeremy have now?

Llama 3 8B:

Reasoning: Jeremy initially has 14 cards.
He discards 19 cards, leaving him with 14 - 19 = -5 cards.
Then, he gains 32 cards, so he now has -5 + 32 = 27 cards.
In the next move, he gains 7 more cards, so he now has 27 + 7 = 34 cards.
He then finds 12 more discarded cards, so he now has 34 + 12 = 46 cards.
### Answer: 46

Expected answer: 46

Correct? Yes

πŸ”— Follow-up

Problem: In the card game, let's imagine that Jeremy initially had 14 cards, but this time he only discards 19 cards before gaining 13 more cards from the deck. How many cards does Jeremy have now?

Llama 3 8B:

Reasoning: Jeremy initially has 14 cards.
He discards 19 cards, leaving him with 14 - 19 = -5 cards.
Then, he gains 13 cards, so he now has -5 + 13 = 8 cards.
### Answer: 8

Expected answer: 8

Correct? Yes

πŸ”— Problem

Problem: A clock ticks 504 times in 42 minutes. Similarly, another clock ticks 279 times in 31 minutes. Add 34 to the rate of the second clock's ticks per minute. Multiply the first clock's ticks per minute by 35 and then subtract 41 from it. Finally, subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock. What is the final value?

Llama 3 8B:

Reasoning: The first clock ticks 504 times in 42 minutes, so its rate is 504/42 = 12 ticks per minute.
The second clock ticks 279 times in 31 minutes, so its rate is 279/31 = 9 ticks per minute.
Adding 34 to the rate of the second clock, we get 9 + 34 = 43 ticks per minute.
Multiplying the first clock's rate by 35, we get 12 * 35 = 420 ticks per minute.
Subtracting 41 from it, we get 420 - 41 = 379 ticks per minute.
Subtracting the rate of the second clock (after adding 34) from the manipulated rate of the first clock, we get 379 - 43 = 336.
### Answer: 336

Expected answer: 336

Correct? Yes

πŸ”— Follow-up

Problem: In the previous question about clocks, the second clock actually ticks 279 times in just 2 minutes, not 31 minutes. Re-calculate the rate of ticks per minute for this clock and add 34 to it. As before, calculate the tick rate for the first clock, then multiply it by 35 and subtract 41. Finally, subtract this modified rate of the second clock from the manipulated rate of the first clock. What is the new result?

Llama 3 8B:

Reasoning: The first clock ticks 504 times in 42 minutes, so its rate is 504/42 = 12 ticks per minute.
The second clock ticks 279 times in 2 minutes, so its rate is 279/2 = 139.5 ticks per minute.
Adding 34 to the rate of the second clock, we get 139.5 + 34 = 173.5 ticks per minute.
Multiplying the first clock's rate by 35, we get 12 * 35 = 420 ticks per minute.
Subtracting 41 from it, we get 420 - 41 = 379 ticks per minute.
Subtracting the rate of the second clock (after adding 34) from the manipulated rate of the first clock, we get 379 - 173.5 = 205.5.
### Answer: 205.5

Expected answer: 411/2

Correct? Yes

πŸ”— Problem

Problem: Nina has noted down the rainfall of her town in centimeters over the last few days. On Tuesday, there was a rainfall of 39 cm. The rainfall decreased by 6 cm on Wednesday and further decreased by 31 cm on Thursday. How much rainfall did Nina note on Thursday?

Llama 3 8B:

Reasoning: The rainfall on Tuesday was 39 cm.
The rainfall decreased by 6 cm on Wednesday, so the rainfall on Wednesday was 39 - 6 = 33 cm.
The rainfall decreased by 31 cm on Thursday, so the rainfall on Thursday was 33 - 31 = 2 cm.
### Answer: 2

Expected answer: 2

Correct? Yes

πŸ”— Problem

Problem: A UFO-watching enthusiast reported seeing 50 UFOs in a month. However, a later investigation revealed that 36 of these were actually meteors. In the next month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised (i.e., actual) number of UFO sightings from the previous month, with an additional 5. How many UFO sightings were reported by the enthusiast in the second month?

Llama 3 8B:

Reasoning: The enthusiast reported 50 UFOs initially, but 36 of them were actually meteors. So, the actual number of UFOs in the first month is 50 - 36 = 14.
In the second month, the enthusiast reported 41 UFOs, plus the actual number of UFOs from the previous month (14), with an additional 5. So, the total number of UFO sightings in the second month is 41 + 14 + 5 = 60.
### Answer: 60

Expected answer: 60

Correct? Yes

πŸ”— Problem

Problem: A cat started playing with yarn balls. In her first game, she managed to accumulate 5 yarn balls. In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. Finally, she lost some of her balls in her third game due to a playful dog. She ended the game with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?

Llama 3 8B:

Reasoning: The cat had 5 yarn balls in her first game.
In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. So, she got 5^2 + 8 = 25 + 8 = 33 yarn balls in her second game.
In total, she had 5 + 33 = 38 yarn balls before her third game.
She lost some of her balls in her third game due to a playful dog. Let's say she lost x balls. Then, she had 38 - x balls left.
She ended the game with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game. So, she had 25(45 - 33) = 25(12) = 300 - 25(33) = 300 - 825 = -525 balls left.
This is impossible, because you can't have a negative number of balls. So, the cat must have lost all her balls in her third game. She had 38 balls initially, so she lost 38 balls.
### Answer: 0

Expected answer: 300

Correct? No

πŸ”— Problem

Problem: A basket contains 41 balls. The balls are split into two types - tennis balls and cricket balls. If we remove 16 balls from the basket, we get cricket balls. When 9 ping pong balls and 21 basketballs are added to the basket, what is the total number of balls in the basket?

Llama 3 8B:

Reasoning: Initially, there are 41 balls in the basket. After removing 16 balls, we are left with 41 - 16 = 25 balls. These 25 balls are cricket balls. Now, 9 ping pong balls and 21 basketballs are added to the basket. So, the total number of balls in the basket is 25 + 9 + 21 = 55.
### Answer: 55

Expected answer: 55

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from the first problem, reconsider the situation but this time, instead of adding 21 basketballs to the basket, you only add 2 basketballs after the 9 ping pong balls. How many balls are now in the basket?

Llama 3 8B:

Reasoning: Initially, there are 41 balls in the basket. After removing 16 balls, we are left with 41 - 16 = 25 balls. These 25 balls are cricket balls. Now, 9 ping pong balls are added to the basket. So, the total number of balls in the basket is 25 + 9 = 34. After adding 2 basketballs, the total number of balls in the basket is 34 + 2 = 36.
### Answer: 36

Expected answer: 36

Correct? Yes

πŸ”— Problem

Problem: The design of a classic wall clock dictates that there should be 1 number represented for every 12 around the clock face. However, your quirky modernist clockmaker friend wants to do things differently. They want to represent 37 hours on the clock's face, each hour has an equivalent of 1 square. Your friend has already completed 32 squares. They left their project for a while, and when they came back, they forgot how many squares they needed to fulfill their quirk. So they did some math to figure it out: they subtracted 32 from 37, added 42 to the result, and then subtracted 37 from that total. Suddenly, an idea occurred to them. What if they add 25 more squares for representing minutes on their quirky clock? Plus, they also wanted to add another 28 squares for seconds. Since your friend is a bit forgetful, they forgot how many squares they need again to finish their project. So, they did a little more math - added 41 to 25, followed by another 28, and then added 17 to the result. Because your friend didn't have enough material, they decided that they could reduce the total number of squares by 23. Finally, they added the number they figured out at the beginning (for hours) to this reduced number. Can you help your friend figure out how many squares they would need in total to complete their quirky clock?

Llama 3 8B:

Let's break down the calculations step by step:

1. Initially, the friend subtracted 32 from 37, added 42, and then subtracted 37. This can be written as:

37 - 32 + 42 - 37 = ?

First, subtract 32 from 37:

37 - 32 = 5

Then, add 42:

5 + 42 = 47

Finally, subtract 37:

47 - 37 = 10

So, the friend initially calculated that they needed 10 more squares for hours.

2. The friend then added 25 more squares for minutes and 28 more squares for seconds. They added 41 to 25, followed by another 28, and then added 17 to the result. This can be written as:

25 + 41 + 28 + 17 = ?

First, add 25 and 41:

25 + 41 = 66

Then, add 28:

66 + 28 = 94

Finally, add 17:

94 + 17 = 111

So, the friend calculated that they needed 111 more squares for minutes and seconds.

3. Since the friend didn't have enough material, they decided to reduce the total number of squares by 23. They added the initial result (10) to this reduced number. This can be written as:

10 + (111 - 23) = ?

First, subtract 23 from 111:

111 - 23 = 88

Then, add 10:

10 + 88 = 98

So, the friend needs a total of 98 squares to complete their quirky clock.

### Answer: 98

Expected answer: 98

Correct? Yes

πŸ”— Follow-up

Problem: Your clockmaker friend continues to work at their quirky clock. They thought about the previous calculation for hour squares and realized they made a mistake. Instead of subtracting 37 from the sum of the unfinished hour squares (after adding 42), they should have subtracted only 13. So, they re-did the maths: subtracted 32 from 37, added 42 to the result, and then subtracted only 13 from that total. Everything else remained the same, including the additional 25 squares for the minutes, followed by another 28 squares for the seconds. The following calculations also didn't change: they added 41 to 25, added 28 to the result and then added 17 to the final number. But, just like before, they realized they still lack some material and decided to go on with their decision to reduce the total number of squares by 23. In the end, they added this reduced total to the newly calculated number for hours (after subtracting 13 instead of 37). Can you help your friend figure out (again!) how many squares they would need in total to complete their quirky clock project with the new calculation?

Llama 3 8B:

Let's redo the calculations:

1. The friend subtracted 32 from 37, added 42, and then subtracted 13. This can be written as:

37 - 32 + 42 - 13 = ?

First, subtract 32 from 37:

37 - 32 = 5

Then, add 42:

5 + 42 = 47

Finally, subtract 13:

47 - 13 = 34

So, the friend calculated that they needed 34 more squares for hours.

2. The friend then added 25 more squares for minutes and 28 more squares for seconds. They added 41 to 25, followed by another 28, and then added 17 to the result. This is the same calculation as before:

25 + 41 + 28 + 17 = ?

First, add 25 and 41:

25 + 41 = 66

Then, add 28:

66 + 28 = 94

Finally, add 17:

94 + 17 = 111

So, the friend calculated that they needed 111 more squares for minutes and seconds.

3. Since the friend didn't have enough material, they decided to reduce the total number of squares by 23. They added the new result (34) to this reduced number. This can be written as:

34 + (111 - 23) = ?

First, subtract 23 from 111:

111 - 23 = 88

Then, add 34:

34 + 88 = 122

So, the friend needs a total of 122 squares to complete their quirky clock.

### Answer: 122

Expected answer: 122

Correct? Yes

πŸ”— Problem

Problem: An orange farm produced 2 times the 28 pounds of oranges they typically produce in a single day due to a new method. This production also multiplied by the 15 days of the harvest period. If the farm then added 16 pounds of a rare orange variant to this harvest, how much did the farm produce in total?

Llama 3 8B:

Reasoning: The farm typically produces 28 pounds of oranges in a single day. With the new method, they produced 2 times this amount, which is 2 x 28 = 56 pounds of oranges per day. Since the harvest period is 15 days, the total amount of oranges produced is 56 x 15 = 840 pounds of oranges.

Adding the 16 pounds of rare orange variant, the total amount of oranges produced is 840 + 16 = 856 pounds.

### Answer: 856

Expected answer: 856

Correct? Yes

πŸ”— Follow-up

Problem: Previously, the orange farm had been able to double its typical daily output of 28 pounds to increase its harvest yield. However, imagine what would have happened had the farm originally been producing a lesser daily output, such as 7 pounds. If they were still able to double this amount each day of the 15-day harvest period and added the same 16 pounds of the rare orange variant to their yield, how much would the farm have produced in that case?

Llama 3 8B:

Reasoning: If the farm originally produced 7 pounds of oranges per day, doubling this amount would result in 7 x 2 = 14 pounds of oranges per day. Since the harvest period is 15 days, the total amount of oranges produced would be 14 x 15 = 210 pounds of oranges.

Adding the 16 pounds of rare orange variant, the total amount of oranges produced would be 210 + 16 = 226 pounds.

### Answer: 226

Expected answer: 226

Correct? Yes

πŸ”— Problem

Problem: A bus has 37 passengers. At the next stop, 20 more passengers get on. Before the bus reaches to the next stop, 44 passengers get off. Now, suppose this remaining number of passengers each pays an $11 fare, but the bus company also deducts a $14 service fee from the total fare. How much revenue does the bus company get?

Llama 3 8B:

Reasoning: Initially, the bus has 37 passengers. 20 more passengers get on, so the total number of passengers becomes 37 + 20 = 57. Then, 44 passengers get off, leaving 57 - 44 = 13 passengers.
Each of the 13 passengers pays an $11 fare, so the total fare collected is 13 x 11 = 143.
The bus company deducts a $14 service fee, so the revenue it gets is 143 - 14 = 129.
### Answer: 129

Expected answer: 129

Correct? Yes

πŸ”— Follow-up

Problem: Following the previously described bus ride, where, after passengers got on and off, the company collected fare from each remaining passenger and deducted a $14 service fee, the company then had to pay a $23 parking fee for the bus at the end of the day. After all these expenses, how much revenue does the bus company have now?

Llama 3 8B:

Reasoning: The bus company had a revenue of $129 after deducting the $14 service fee. Then, it has to pay a $23 parking fee, so the revenue left is 129 - 23 = 106.
### Answer: 106

Expected answer: 106

Correct? Yes

πŸ”— Follow-up

Problem: Suppose we revisit the scenario of the bus ride. This time, imagine that instead of 37 passengers initially on the bus, there were only 28 passengers. Then, the bus picked up 20 more passengers at the next stop, but 44 passengers get off before the next stop. The remaining passengers each pay a bus fare of $11, but the company also deducts a $14 service fee from the total fares. How much revenue does the bus company get in this situation?

Llama 3 8B:

Reasoning: Initially, the bus has 28 passengers. 20 more passengers get on, so the total number of passengers becomes 28 + 20 = 48. Then, 44 passengers get off, leaving 48 - 44 = 4 passengers.
Each of the 4 passengers pays an $11 fare, so the total fare collected is 4 x 11 = 44.
The bus company deducts a $14 service fee, so the revenue it gets is 44 - 14 = 30.
### Answer: 30

Expected answer: 30

Correct? Yes

πŸ”— Problem

Problem: A pirate found a treasure chest with 13 emeralds, 42 rubies, and 19 sapphires. He gave away 43 of these precious gems to his crewmates. How many gems did the pirate have left?

Llama 3 8B:

Reasoning: The pirate had a total of 13 + 42 + 19 = 74 gems initially.
He gave away 43 gems, so he has 74 - 43 = 31 gems left.
### Answer: 31

Expected answer: 31

Correct? Yes

πŸ”— Problem

Problem: A certain reserve has 16 ginger giraffes. They then bring in the same number of golden giraffes as they had of the ginger ones. Later, they decide to add another group of 46 greyish giraffes. What is the total number of giraffes in the reserve now?

Llama 3 8B:

Reasoning: The reserve initially has 16 ginger giraffes. They bring in the same number of golden giraffes, which is also 16. So, the total number of giraffes after bringing in the golden giraffes is 16 + 16 = 32.
Later, they add 46 greyish giraffes to the reserve. The total number of giraffes now is 32 + 46 = 78.
### Answer: 78

Expected answer: 78

Correct? Yes

πŸ”— Follow-up

Problem: After successfully populating the reserve with various giraffes, unfortunately, 2 of the greyish giraffes suddenly moved out of the reserve. How many giraffes are there now in the reserve after the 2 greyish giraffes left?

Llama 3 8B:

Reasoning: Initially, there were 78 giraffes in the reserve. 2 greyish giraffes left, which means the number of giraffes decreased by 2. So, the new total number of giraffes is 78 - 2 = 76.
### Answer: 76

Expected answer: 76

Correct? Yes

πŸ”— Follow-up

Problem: Let's reconsider the original scenario where the reserve started with ginger giraffes. But this time assume that the reserve initially had 42 ginger giraffes instead of 16. They again brought in the same number of golden giraffes as the ginger ones. Later, they decided to add another group of 46 greyish giraffes. What would be the total number of giraffes in the reserve now under this new scenario?

Llama 3 8B:

Reasoning: The reserve initially has 42 ginger giraffes. They bring in the same number of golden giraffes, which is also 42. So, the total number of giraffes after bringing in the golden giraffes is 42 + 42 = 84.
Later, they add 46 greyish giraffes to the reserve. The total number of giraffes now is 84 + 46 = 130.
### Answer: 130

Expected answer: 130

Correct? Yes

πŸ”— Problem

Problem: A turtle decides to swim. One day, it travels as many leagues as 11 plus 10, then multiplies that by 16 to get the total distance it swam that week. Later, it realized it had over calculated the distance by 41 leagues. What is the real distance it swam that week?

Llama 3 8B:

Reasoning: Let's first find the total distance the turtle swam that week. The turtle swam 11 + 10 = 21 leagues, and then multiplied that by 16. So, the total distance is 21 * 16 = 336 leagues.
However, the turtle realized it had over calculated the distance by 41 leagues. So, we need to subtract 41 from the total distance to find the real distance. 336 - 41 = 295 leagues.
### Answer: 295

Expected answer: 295

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from the previous scenario, consider that the turtle realizes that it originally miscalculated the daily travel distance. Instead of swimming 11 leagues plus 10 a day, it actually swam 11 leagues plus 17 leagues a day. After multiplying that daily total by 16 for the week, and subtracting the over-calculated 41 leagues, how much did the turtle actually swim in the originally estimated week?

Llama 3 8B:

Reasoning: Let's first find the daily total distance the turtle swam. The turtle swam 11 + 17 = 28 leagues a day. Then, it multiplied that by 16 to get the total distance for the week. So, the total distance is 28 * 16 = 448 leagues.
However, the turtle realized it had over calculated the distance by 41 leagues. So, we need to subtract 41 from the total distance to find the real distance. 448 - 41 = 407 leagues.
### Answer: 407

Expected answer: 407

Correct? Yes