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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of words per line in a verse and then add the refrain of 34 words to it.

Given information:
- Each verse has 162 words.
- Each verse has 18 lines.

Step 1: Find the number of words per line in a verse.
Number of words per line in a verse = Total words in a verse / Number of lines per verse
Number of words per line in a verse = 162 words / 18 lines
Number of words per line in a verse = 9 words

Step 2: Find the total number of words per line after adding the refrain.
Total words per line = Number of words per line in a verse + Number of words in the refrain
Total words per line = 9 words + 34 words
Total words per line = 43 words

Therefore, after adding the refrain of 34 words to each line, the total number of words present in each line is 43 words.

### Answer: 43

Expected answer: 43

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to break it down into smaller steps and keep track of the penguin count at each step.

Given information:
- Initially, there were 35 penguins on a small ice floe.
- In another part of the Antarctic, there were 598 penguins divided evenly among 26 ice floes.
- The penguin population at the first place increased by 49.
- The biologist decided to take 33 more penguins into account.
- The biologist overestimated and had to subtract 10 from her calculations.
- At the base camp, there were 20 adult penguins and 14 chick penguins.

Step 1: Calculate the number of penguins on the 26 ice floes.
Number of penguins on 26 ice floes = 598

Step 2: Calculate the total number of penguins after the population increase at the first place.
Total penguins = Initial penguins at the first place + Population increase
Total penguins = 35 + 49 = 84

Step 3: Add the penguins the biologist decided to take into account.
Total penguins = 84 + 33 = 117

Step 4: Subtract the overestimated penguins.
Total penguins = 117 - 10 = 107

Step 5: Add the penguins at the base camp.
Total penguins = 107 + 20 + 14 = 141

Therefore, the biologist counted a total of 141 penguins.

### Answer: 141

Expected answer: 164

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of colored steps on the first jungle gym and then add it to the number of green steps on the second jungle gym.

Given information:
- The first jungle gym has a total of 27 steps.
- The top 19 steps are blue.
- The remaining steps along with another 19 steps are red.
- The second jungle gym has 34 green steps.

Step 1: Find the number of red steps on the first jungle gym.
Total steps on the first jungle gym = 27
Number of blue steps = 19
Number of red steps = 27 - 19 + 19 = 27 (remaining steps + another 19 steps)

Step 2: Find the total number of colored steps on the first jungle gym.
Total colored steps on the first jungle gym = Number of blue steps + Number of red steps
Total colored steps on the first jungle gym = 19 + 27 = 46

Step 3: Find the total number of colored steps on both jungle gyms.
Total colored steps on both jungle gyms = Total colored steps on the first jungle gym + Number of green steps on the second jungle gym
Total colored steps on both jungle gyms = 46 + 34 = 80

Therefore, the total number of colored steps on the two jungle gyms is 80.

### Answer: 80

Expected answer: 61

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given instructions step by step.

Given information:
- A cloud releases 47 millimeters of rainfall per hour over a one-hour period.
- The average cloud typically releases 775 millimeters of rainfall over the course of 31 hours.
- The constant cloud factor is 42.

Step 1: Find the average rainfall of the typical cloud per hour.
Average rainfall of the typical cloud per hour = 775 millimeters / 31 hours
Average rainfall of the typical cloud per hour = 25 millimeters per hour

Step 2: Subtract 22 from the average rainfall of the typical cloud per hour.
25 millimeters per hour - 22 = 3 millimeters per hour

Step 3: Multiply the result from Step 2 by 23.
3 millimeters per hour × 23 = 69 millimeters

Step 4: Add the result from Step 3 to the constant cloud factor of 42.
69 millimeters + 42 = 111 millimeters

Step 5: Add the result from Step 4 to the hourly rainfall of the initial cloud.
111 millimeters + 47 millimeters per hour = 158 millimeters per hour

Step 6: Subtract 2 from the result of Step 5.
158 millimeters per hour - 2 = 156 millimeters per hour

Therefore, the resultant millimeters of rainfall is 156 millimeters per hour.

### Answer: 156

Expected answer: 156

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to add up the time Nadia spent practicing the piano in the morning, afternoon, and evening.

Given information:
- Nadia practiced for 45 minutes in the morning.
- Nadia practiced for 35 minutes in the afternoon.
- Nadia practiced for 35 minutes in the evening.

Step 1: Add the time spent practicing in the afternoon and evening.
Time spent practicing in the afternoon + Time spent practicing in the evening
= 35 minutes + 35 minutes
= 70 minutes

Step 2: Add the time spent practicing in the morning to the time spent practicing in the afternoon and evening.
Total time spent practicing = Time spent practicing in the morning + Time spent practicing in the afternoon and evening
Total time spent practicing = 45 minutes + 70 minutes
Total time spent practicing = 115 minutes

Therefore, Nadia practiced the piano for a total of 115 minutes that day.

### Answer: 115

Expected answer: 115

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the discount factor and then apply it to the original price of the dress.

Given information:
- The original price of a dress is $44.
- The discount factor is 465 divided by 31.

Step 1: Find the discount factor.
Discount factor = 465 / 31
Discount factor = 15

Step 2: Apply the discount factor to the original price.
Discounted price = Original price / Discount factor
Discounted price = $44 / 15
Discounted price = $2.93

Therefore, during the flash sale, a dress costs $2.93.

### Answer: $2.93

Expected answer: 660

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total length of rope made by the rope maker on Monday and Tuesday, and then subtract the damaged rope from it.

Given information:
- On Monday, the rope maker made 46 meters of rope.
- On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters.
- By Wednesday, 9 meters of rope had been damaged and was unusable.

Step 1: Find the length of rope made on Tuesday.
Length of rope made on Tuesday = Length of rope made on Monday + 19 meters
Length of rope made on Tuesday = 46 meters + 19 meters = 65 meters

Step 2: Find the total length of rope made on Monday and Tuesday.
Total length of rope made = Length of rope made on Monday + Length of rope made on Tuesday
Total length of rope made = 46 meters + 65 meters = 111 meters

Step 3: Find the length of usable rope after Wednesday by subtracting the damaged rope.
Length of usable rope = Total length of rope made - Length of damaged rope
Length of usable rope = 111 meters - 9 meters = 102 meters

Therefore, after Wednesday, the rope maker has 102 meters of usable rope.

### Answer: 102

Expected answer: 56

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total cost of the vintage earrings, the jewelry box, and the gift wrapping service.

Given information:
- Juliana bought 16 pairs of vintage earrings.
- Each pair of vintage earrings costs $2.
- The jewelry box costs $25.
- The gift wrapping service costs $48.

Step 1: Find the cost of the vintage earrings.
Cost of vintage earrings = Number of pairs × Cost per pair
Cost of vintage earrings = 16 × $2 = $32

Step 2: Find the total cost by adding the cost of vintage earrings, jewelry box, and gift wrapping service.
Total cost = Cost of vintage earrings + Cost of jewelry box + Cost of gift wrapping service
Total cost = $32 + $25 + $48 = $105

Therefore, Juliana spent a total of $105 for her gift.

### Answer: 105

Expected answer: 105

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of beads each friend initially received, and then add 4 more beads to that amount.

Given information:
- Emma has 60 beads.
- She divides the beads equally among 3 friends.
- She adds 4 more beads to each friend's pile.

Step 1: Find the number of beads each friend initially received.
Total beads / Number of friends = Beads per friend
60 beads / 3 friends = 20 beads per friend

Step 2: Add 4 more beads to each friend's pile.
Beads per friend + Additional beads = Total beads per friend now
20 beads + 4 beads = 24 beads per friend

Therefore, each friend now has 24 beads.

### Answer: 24

Expected answer: 24

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and perform the necessary calculations.

Given information:
- The boy started with 37 paper straws.
- He removed 4 straws initially.
- He then removed another 23 straws.
- He multiplied the remaining number of straws by 45.
- He subtracted 49 from the result.
- He took out 7 more straws.

Step 1: Find the number of straws after removing the initial 4 straws.
Number of straws after removing 4 straws = 37 - 4 = 33 straws

Step 2: Find the number of straws after removing another 23 straws.
Number of straws after removing 23 straws = 33 - 23 = 10 straws

Step 3: Multiply the remaining number of straws by 45.
Number of straws multiplied by 45 = 10 × 45 = 450

Step 4: Subtract 49 from the result.
Number of straws after subtracting 49 = 450 - 49 = 401

Step 5: Take out 7 more straws.
Number of straws left = 401 - 7 = 394 straws

Therefore, the boy had 394 straws left after all the steps.

### Answer: 394

Expected answer: 394

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of photos that could be taken initially, and then subtract the spoiled photos and add the additional photos taken later.

Given information:
- There were 2 trips, and each trip was allowed to see 2 animals.
- Each animal had 3 baby animals with them, making the number of animals seen per trip multiplied by 3.
- Each baby animal could be photographed 21 times.
- 34 photos were spoiled and unusable.
- Guests were given the opportunity to take an additional 30 photos later.

Step 1: Find the total number of animals seen on both trips.
Number of animals seen per trip = 2 animals × (1 + 3 baby animals) = 8 animals
Total number of animals seen on both trips = 8 animals × 2 trips = 16 animals

Step 2: Find the total number of photos that could be taken initially.
Number of photos per baby animal = 21 photos
Total number of baby animals = 16 animals × 3 baby animals per animal = 48 baby animals
Total number of photos that could be taken initially = 48 baby animals × 21 photos per baby animal = 1,008 photos

Step 3: Find the number of usable photos after subtracting the spoiled photos and adding the additional photos.
Number of usable photos = Total number of photos initially - Spoiled photos + Additional photos
Number of usable photos = 1,008 photos - 34 spoiled photos + 30 additional photos
Number of usable photos = 1,004 photos

Therefore, there would be 1,004 usable photos in total.

### Answer: 1004

Expected answer: 248

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and keep track of the number of letters in the word.

Given information:
- In the first round, they could form a word with 47 letters.
- They had to remove 30 letters due to a mistake.
- They added 10 more letters to the remaining word.
- In the next round, they removed 3 letters from the updated word.

Step 1: Find the number of letters after removing 30 letters from the initial word.
Number of letters after removing 30 letters = 47 - 30 = 17 letters

Step 2: Find the number of letters after adding 10 more letters to the remaining word.
Number of letters after adding 10 letters = 17 + 10 = 27 letters

Step 3: Find the number of letters after removing 3 letters from the updated word.
Number of letters after removing 3 letters = 27 - 3 = 24 letters

Therefore, after the last deletion, there were 24 letters in the word.

### Answer: 24

Expected answer: 24

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the average speed of Tommy the turtle over the entire journey, considering the changes in speed.

Given information:
- Tommy's initial speed = 74/37 miles per hour (mph)
- Tommy slows down by 3 mph
- Tommy speeds up to his initial speed again

Step 1: Convert Tommy's initial speed to a decimal value.
Initial speed = 74/37 mph = 2 mph

Step 2: Find the speed after slowing down.
Speed after slowing down = Initial speed - 3 mph
Speed after slowing down = 2 mph - 3 mph = -1 mph

Step 3: Find the average speed over the entire journey.
Average speed = (Initial speed + Speed after slowing down + Initial speed) / 3
Average speed = (2 mph + (-1 mph) + 2 mph) / 3
Average speed = 3 mph / 3
Average speed = 1 mph

Therefore, Tommy's average speed over the entire journey, considering the changes in speed, is 1 mph.

### Answer: 1

Expected answer: 1

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the total number of building blocks Liam has by multiplying the number of sets by the number of blocks in each set.

Given information:
- Liam has 40 sets of building blocks.
- Each set contains 16 blocks.

Step 1: Multiply the number of sets by the number of blocks in each set.
Total number of building blocks = Number of sets × Number of blocks in each set
Total number of building blocks = 40 × 16

Step 2: Calculate the total number of building blocks.
Total number of building blocks = 40 × 16
Total number of building blocks = 640

Therefore, Liam has a total of 640 building blocks.

### Answer: 640

Expected answer: 640

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of pencils John bought and add it to the initial number of pencils he had.

Given information:
- John initially had 24 pencils.
- The number of pencils he has now is equal to the number he had initially plus 7.

Let's represent the number of pencils John bought as x.

According to the given information, we can write an equation:
24 + x = 24 + 7
x = 7

Therefore, John bought 7 pencils.

To find the total number of pencils John has now, we add the number of pencils he bought (7) to the initial number of pencils he had (24).

Total number of pencils John has now = 24 + 7 = 31

### Answer: 31

Expected answer: 31

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the remaining snowfall days in City A, the average daily snowfall in City B, and then calculate the total snowfall in City A and subtract the amount of snow removed.

Given information:
- The snowfall in City A lasts for 50 days.
- The current snowfall in City A is 36 days in.
- In City B, 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.
- The snow removal has managed to remove an amount of snow equal to the average daily snowfall in City B.

Step 1: Find the remaining snowfall days in City A.
Remaining snowfall days in City A = Total snowfall days in City A - Current snowfall days in City A
Remaining snowfall days in City A = 50 - 36 = 14 days

Step 2: Find the average daily snowfall in inches in City B.
Average daily snowfall in City B = Total snowfall in 14 days in City B / 14 days
Average daily snowfall in City B = 98 inches / 14 days = 7 inches per day

Step 3: Calculate the total snowfall in City A.
Total snowfall in City A = Remaining snowfall days in City A × Average daily snowfall in City B
Total snowfall in City A = 14 days × 7 inches per day = 98 inches

Step 4: Calculate the amount of snow removed in City A.
Amount of snow removed in City A = Average daily snowfall in City B
Amount of snow removed in City A = 7 inches

Step 5: Calculate the amount of snow left in City A after the snow removal.
Amount of snow left in City A = Total snowfall in City A - Amount of snow removed in City A
Amount of snow left in City A = 98 inches - 7 inches = 91 inches

### Answer: 91 inches

Expected answer: 91

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of rubies the pirate found on the second day and then add it to the number of rubies he found on the first day.

Given information:
- On the first day, the pirate found 28 rubies.
- On the second day, he found another haul of rubies equal to the first day's find plus an additional 21 rubies.

Step 1: Find the number of rubies the pirate found on the second day.
Number of rubies found on the second day = Number of rubies found on the first day + Additional rubies
Number of rubies found on the second day = 28 + 21
Number of rubies found on the second day = 49 rubies

Step 2: Find the total number of rubies the pirate has after the second day.
Total number of rubies = Number of rubies found on the first day + Number of rubies found on the second day
Total number of rubies = 28 + 49
Total number of rubies = 77 rubies

### Answer: 77

Expected answer: 77

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to add up all the snowfall and subtract the amount of snow that melted.

Given information:
- January: 47 inches of snowfall
- Early February: 7 inches of snowfall
- February 15th: 17 inches of snowfall
- March: 48 inches of snowfall
- Early April: 31 inches of snowfall
- End of April: 27 inches of snow melted

Step 1: Add up all the snowfall.
Total snowfall = 47 inches + 7 inches + 17 inches + 48 inches + 31 inches
Total snowfall = 150 inches

Step 2: Subtract the amount of snow that melted.
Total snow at the end of April = Total snowfall - Snow melted
Total snow at the end of April = 150 inches - 27 inches
Total snow at the end of April = 123 inches

Therefore, the total amount of snow at the end of April is 123 inches.

### Answer: 123

Expected answer: 123

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of balloons sold during the 11 hours of the fair and then add the additional balloons sold after the fair closed.

Given information:
- The vendor sold 46 balloons every hour for 11 hours straight.
- After the fair closed, the vendor sold an additional 31 balloons.

Step 1: Find the total number of balloons sold during the 11 hours of the fair.
Number of balloons sold per hour × Number of hours = Total balloons sold during the fair
46 balloons × 11 hours = 506 balloons

Step 2: Find the total number of balloons sold by adding the balloons sold during the fair and the additional balloons sold after the fair closed.
Total balloons sold during the fair + Additional balloons sold after the fair closed = Total balloons sold
506 balloons + 31 balloons = 537 balloons

Therefore, the vendor sold a total of 537 balloons that day.

### Answer: 537

Expected answer: 537

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the combined score of Mary and John after the second game, and then multiply it by the difference between 27 and the number of cards left in the deck.

Given information:
- In the first game, Mary scored 31 points, and John scored 39 points.
- In the second game, their combined score increased by 35 points.
- In the special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23.

Step 1: Find the combined score of Mary and John after the first game.
Combined score after the first game = Mary's score + John's score
Combined score after the first game = 31 + 39 = 70 points

Step 2: Find the combined score of Mary and John after the second game.
Combined score after the second game = Combined score after the first game + Increase in score
Combined score after the second game = 70 + 35 = 105 points

Step 3: Find the multiplier for the special round.
Multiplier = Difference between 27 and the number of cards left in the deck
Multiplier = 27 - 23 = 4

Step 4: Calculate the final score in the special round.
Final score in the special round = Combined score after the second game × Multiplier
Final score in the special round = 105 × 4 = 420 points

Therefore, their final score in the special round was 420 points.

### Answer: 420

Expected answer: 420

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of chairs produced and then subtract the number of chairs given away and used for quality testing.

Given information:
- In the morning, the company manufactured 17 upholstered seats and 18 wooden seats.
- In the afternoon, the company produced another 29 chairs.
- The same production was repeated in the evening.
- 48 chairs were given away to charity.
- 7 chairs were used for quality testing.

Step 1: Find the total number of chairs produced in the morning and afternoon.
Chairs produced in the morning = 17 upholstered seats + 18 wooden seats = 35 chairs
Chairs produced in the afternoon = 29 chairs
Total chairs produced in the morning and afternoon = 35 + 29 = 64 chairs

Step 2: Find the total number of chairs produced in the entire day.
Total chairs produced = (Chairs produced in the morning and afternoon) × 2
Total chairs produced = 64 × 2 = 128 chairs

Step 3: Subtract the number of chairs given away and used for quality testing.
Chairs remaining = Total chairs produced - Chairs given away - Chairs used for quality testing
Chairs remaining = 128 - 48 - 7 = 73 chairs

Therefore, after giving away 48 chairs to charity and using 7 chairs for quality testing, there are 73 chairs left.

### Answer: 73

Expected answer: 73

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of play components on the popular jungle gym and the total number of hooks used in the new jungle gym, and then calculate the difference.

Given information:
- The popular jungle gym has 46 monkey bars and 18 swinging ropes.
- The new jungle gym has 2 extra long zip lines and 20 regular zip lines.
- Each regular zip line requires 31 special hooks to install.

Step 1: Find the total number of play components on the popular jungle gym.
Total play components on the popular jungle gym = Number of monkey bars + Number of swinging ropes
Total play components on the popular jungle gym = 46 + 18 = 64

Step 2: Find the total number of hooks used in the new jungle gym.
Total hooks used in the new jungle gym = (Number of extra long zip lines × 31) + (Number of regular zip lines × 31)
Total hooks used in the new jungle gym = (2 × 31) + (20 × 31)
Total hooks used in the new jungle gym = 62 + 620 = 682

Step 3: Calculate the difference between the total hooks used in the new jungle gym and the total play components on the popular jungle gym.
Difference = Total hooks used in the new jungle gym - Total play components on the popular jungle gym
Difference = 682 - 64 = 618

Therefore, 618 more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym.

### Answer: 618

Expected answer: 618

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of money John has after receiving all the additional amounts.

Given information:
- John initially had $168.
- He divided $168 evenly between 21 days.
- He received an additional $47 from his job.
- He received another amount of money which is the sum of $12 and $45.

Step 1: Find the amount of money John had after dividing $168 evenly between 21 days.
Amount of money per day = $168 / 21 = $8
Amount of money left after 21 days = $168 - (21 × $8) = $0

Step 2: Add the additional $47 from his job.
Amount of money after receiving $47 = $0 + $47 = $47

Step 3: Add the additional amount of money which is the sum of $12 and $45.
Additional amount = $12 + $45 = $57
Total amount of money John has now = $47 + $57 = $104

Therefore, John has $104 now.

### Answer: 104

Expected answer: 112

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of boxes the robot can stack in 4 minutes and then add the extra box.

Given information:
- The robot can stack 32 boxes in 1 minute.
- The robot works non-stop for 4 minutes.
- The robot picks up 1 extra box after working for 4 minutes.

Step 1: Find the number of boxes the robot can stack in 4 minutes.
Number of boxes stacked in 4 minutes = Number of boxes stacked in 1 minute × 4 minutes
Number of boxes stacked in 4 minutes = 32 × 4
Number of boxes stacked in 4 minutes = 128 boxes

Step 2: Add the extra box to the total number of boxes stacked.
Total number of boxes stacked = Number of boxes stacked in 4 minutes + Extra box
Total number of boxes stacked = 128 + 1
Total number of boxes stacked = 129 boxes

Therefore, the robot will have stacked a total of 129 boxes.

### Answer: 129

Expected answer: 129

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of tigers that survived and then subtract the number of tigers that moved to other territories.

Given information:
- The female tiger gave birth to 26 cubs in her lifetime.
- 17 of the cubs did not survive.
- 6 of the surviving tigers moved to other territories.

Step 1: Find the number of cubs that survived.
Total cubs - Cubs that did not survive = Cubs that survived
26 - 17 = 9 cubs survived

Step 2: Find the number of tigers that remained in the female tiger's territory.
Cubs that survived - Tigers that moved to other territories = Tigers that remained
9 - 6 = 3 tigers remained

Therefore, 3 tigers remained in the female tiger's territory.

### Answer: 3

Expected answer: 3

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to keep track of the changes in the number of penguins in the colony.

Given information:
- The colony originally started with 44 penguins.
- 39 new penguins joined the colony.
- 16 penguins left the colony to start a new colony elsewhere.
- 35 new penguins joined the colony.

Step 1: Find the number of penguins after the first group of 39 penguins joined.
Number of penguins after the first group joined = Original number of penguins + Number of penguins that joined
Number of penguins after the first group joined = 44 + 39 = 83 penguins

Step 2: Find the number of penguins after 16 penguins left to start a new colony.
Number of penguins after 16 penguins left = Number of penguins after the first group joined - Number of penguins that left
Number of penguins after 16 penguins left = 83 - 16 = 67 penguins

Step 3: Find the number of penguins after the second group of 35 penguins joined.
Number of penguins after the second group joined = Number of penguins after 16 penguins left + Number of penguins that joined
Number of penguins after the second group joined = 67 + 35 = 102 penguins

Therefore, there are currently 102 penguins in the colony.

### Answer: 102

Expected answer: 102

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the new speed of the helicopter after the increase and then calculate the distance it will travel in 12 minutes at the new speed.

Given information:
- The initial speed of the helicopter is 10 miles per minute.
- The speed is increased by 40 miles per minute.
- The speed is further increased by 20 miles per minute.
- We need to find the distance traveled in 12 minutes at the new speed.

Step 1: Find the new speed of the helicopter after the increases.
Initial speed + Increase 1 + Increase 2 = New speed
10 miles/minute + 40 miles/minute + 20 miles/minute = 70 miles/minute

Step 2: Calculate the distance traveled in 12 minutes at the new speed.
Distance = Speed × Time
Distance = 70 miles/minute × 12 minutes
Distance = 840 miles

Therefore, the helicopter will travel 840 miles in 12 minutes at the increased speed.

### Answer: 840

Expected answer: 840

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the required magnification strength of the new telescope and the magnification power of the existing telescope.

Given information:
- The existing telescope has a magnification power of 26.
- The required magnification strength for the new telescope is 41.

Step 1: Find the difference between the required magnification strength and the existing magnification power.
Required magnification strength - Existing magnification power = Additional magnification required
41 - 26 = 15

Therefore, the new telescope needs to have an additional magnification of 15 compared to the existing telescope.

### Answer: 15

Expected answer: 15

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to calculate Sophie's earnings and expenses, and then find the total amount of money she has.

Given information:
- Sophie's parents give her $18 for every hour she works.
- On Monday, she worked for 2 hours.
- She bought a $4 ice cream and a $4 coffee.
- She added Monday's leftover amount to her pay for her next single hour of work.
- She got an additional $45 as a bonus from her grandmother.

Step 1: Calculate Sophie's earnings on Monday.
Earnings on Monday = 2 hours × $18 per hour = $36

Step 2: Calculate Sophie's expenses on Monday.
Expenses on Monday = $4 (ice cream) + $4 (coffee) = $8

Step 3: Calculate Sophie's leftover amount from Monday.
Leftover amount from Monday = Earnings on Monday - Expenses on Monday
Leftover amount from Monday = $36 - $8 = $28

Step 4: Calculate Sophie's earnings for the next single hour of work.
Earnings for the next single hour = $18 + Leftover amount from Monday
Earnings for the next single hour = $18 + $28 = $46

Step 5: Calculate Sophie's total earnings.
Total earnings = Earnings on Monday + Earnings for the next single hour + Bonus from grandmother
Total earnings = $36 + $46 + $45 = $127

Therefore, Sophie has a total of $127 now.

### Answer: 127

Expected answer: 91

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and keep track of the number of towels at each stage.

Given information:
- Initially, the company produced 30 beach towels and 6 hand towels.
- They gave away 7 towels for charity.
- They produced 14 more towels after the charity activity.
- They made a special batch of 13 towels for every towel left after the charity activity.
- They deducted 19 towels from the special batch, calling it their premium collection.
- 20 towels were damaged and removed from the premium collection.
- They deducted 3 more towels from the remaining premium collection.
- They combined the remaining premium collection with the total they had after the second batch of production.

Step 1: Calculate the number of towels left after giving away 7 towels for charity.
Initial number of towels = 30 beach towels + 6 hand towels = 36 towels
Number of towels left after charity = 36 - 7 = 29 towels

Step 2: Calculate the number of towels produced in the second batch.
Number of towels produced in the second batch = 14 towels

Step 3: Calculate the number of towels in the special batch (premium collection).
Number of towels in the special batch = 29 × 13 = 377 towels
Number of towels deducted from the special batch = 19 towels
Number of towels in the premium collection = 377 - 19 = 358 towels

Step 4: Calculate the number of towels remaining in the premium collection after removing the damaged towels.
Number of towels remaining in the premium collection = 358 - 20 = 338 towels

Step 5: Calculate the number of towels remaining in the premium collection after deducting 3 more towels.
Number of towels remaining in the premium collection = 338 - 3 = 335 towels

Step 6: Calculate the total number of towels by combining the remaining premium collection with the total after the second batch of production.
Total number of towels = Number of towels remaining in the premium collection + Number of towels after the second batch of production
Total number of towels = 335 + (29 + 14) = 335 + 43 = 378 towels

Therefore, the company has 378 towels now.

### Answer: 378

Expected answer: 378

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of energy crystals and lumino-gems that will be in the zorbcraft's compartment after adding the upcoming energy crystals.

Given information:
- The extraterrestrial being currently has 50 special energy crystals.
- They will get 20 more energy crystals in a few earth days.
- The zorbcraft's hidden compartment contains 50 energy crystals and 6 lumino-gems.
- They plan to add the upcoming energy crystals to this compartment.

Step 1: Find the total number of energy crystals after adding the upcoming energy crystals.
Current energy crystals + Upcoming energy crystals = Total energy crystals
50 + 20 = 70 energy crystals

Step 2: Find the total number of items (energy crystals and lumino-gems) in the zorbcraft's compartment.
Total energy crystals + Lumino-gems in the compartment = Total items in the compartment
70 + 6 = 76 items

Therefore, there will be 76 items (including both energy crystals and lumino-gems) in the zorbcraft's compartment after adding the upcoming energy crystals.

### Answer: 76

Expected answer: 126

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of Velociraptors and the number of new dinosaur types added, and then multiply it by 7 to find the total number of eggs laid by the Velociraptors.

Given information:
- The park initially contained 43 Velociraptors.
- Another set of 972 dinosaurs was added, but each section contained 27 dinosaurs.
- The number of new dinosaur types added was less than 972.
- The number of Velociraptors was more than the number of new dinosaur types added.
- Each Velociraptor laid 7 new eggs that week.

Step 1: Find the number of new dinosaur types added.
Number of new dinosaur types added = 972 / 27 = 36

Step 2: Find the difference between the number of Velociraptors and the number of new dinosaur types added.
Difference = Number of Velociraptors - Number of new dinosaur types added
Difference = 43 - 36 = 7

Step 3: Calculate the total number of eggs laid by the Velociraptors.
Total number of eggs laid = Difference × 7 (eggs per Velociraptor)
Total number of eggs laid = 7 × 7 = 49

Therefore, the total number of eggs laid by the Velociraptors that week was 49.

### Answer: 49

Expected answer: 49

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of oranges in the bowl and the number of oranges Maria took.

Given information:
- There are 46 oranges in the bowl initially.
- Maria took 16 oranges from the bowl.

Step 1: Find the number of oranges remaining in the bowl.
Number of oranges remaining = Initial number of oranges - Number of oranges taken
Number of oranges remaining = 46 - 16
Number of oranges remaining = 30

Therefore, after Maria took 16 oranges from the bowl, there are 30 oranges left in the bowl.

### Answer: 30

Expected answer: 30

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of toothbrushes produced at the initial rate and the increased rate, and then add them together.

Given information:
- Initial production rate: 37 toothbrushes per minute.
- Increased production rate: 308 toothbrushes every 7 minutes.
- The increased rate continued for 16 minutes.

Step 1: Find the number of toothbrushes produced at the initial rate before the increase.
Since we don't know the duration of the initial rate, we can assume it was for a negligible amount of time, so the number of toothbrushes produced at the initial rate is 0.

Step 2: Find the number of toothbrushes produced at the increased rate.
Increased rate = 308 toothbrushes every 7 minutes
Increased rate per minute = 308 / 7 = 44 toothbrushes per minute
Number of toothbrushes produced at the increased rate = 44 toothbrushes per minute × 16 minutes
Number of toothbrushes produced at the increased rate = 704 toothbrushes

Step 3: Find the total number of toothbrushes produced.
Total toothbrushes produced = Toothbrushes produced at the initial rate + Toothbrushes produced at the increased rate
Total toothbrushes produced = 0 + 704
Total toothbrushes produced = 704

### Answer: 704

Expected answer: 741

Correct? No

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.

Claude-3 Sonnet:

To solve this problem, we need to keep track of the number of telescopes the research laboratory has after each month.

Given information:
- Initially, the research laboratory has 39 telescopes.
- In the first month, they added 7 more telescopes.
- In the second month, they added 17 more telescopes.
- In the third month, they added 12 more telescopes.
- In the fourth month, they added 18 more telescopes.
- In the fifth month, they added 39 more telescopes (same as the initial number).
- In the sixth month, they added 19 more telescopes.

Step 1: Find the number of telescopes after the first month.
Initial number of telescopes + Telescopes added in the first month = Number of telescopes after the first month
39 + 7 = 46 telescopes

Step 2: Find the number of telescopes after the second month.
Number of telescopes after the first month + Telescopes added in the second month = Number of telescopes after the second month
46 + 17 = 63 telescopes

Step 3: Find the number of telescopes after the third month.
Number of telescopes after the second month + Telescopes added in the third month = Number of telescopes after the third month
63 + 12 = 75 telescopes

Step 4: Find the number of telescopes after the fourth month.
Number of telescopes after the third month + Telescopes added in the fourth month = Number of telescopes after the fourth month
75 + 18 = 93 telescopes

Step 5: Find the number of telescopes after the fifth month.
Number of telescopes after the fourth month + Telescopes added in the fifth month = Number of telescopes after the fifth month
93 + 39 = 132 telescopes

Step 6: Find the number of telescopes after the sixth month.
Number of telescopes after the fifth month + Telescopes added in the sixth month = Number of telescopes after the sixth month
132 + 19 = 151 telescopes

Therefore, the research laboratory has 151 telescopes at the end of the sixth month.

### Answer: 151

Expected answer: 151

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of utensils added and then subtract the missing utensils and the original set of cutlery.

Given information:
- Initially, there were 20 forks and 23 knives on the table.
- Later, 28 more sets of cutlery were added, each set containing 26 utensils.
- After counting, they found 7 more utensils than expected.
- There were 46 missing utensils.
- The original set of 20 forks and 23 knives was removed.

Step 1: Find the total number of utensils initially on the table.
Total utensils initially = 20 forks + 23 knives = 43 utensils

Step 2: Find the total number of utensils added later.
Total utensils added = 28 sets × 26 utensils per set = 728 utensils

Step 3: Find the total number of utensils after adding the new sets.
Total utensils after adding = Total utensils initially + Total utensils added + 7 extra utensils
Total utensils after adding = 43 + 728 + 7 = 778 utensils

Step 4: Subtract the missing utensils and the original set of cutlery.
Utensils left on the table = Total utensils after adding - Missing utensils - Original set of cutlery
Utensils left on the table = 778 - 46 - (20 forks + 23 knives)
Utensils left on the table = 778 - 46 - 43 = 689 utensils

Therefore, there were 689 utensils left on the table.

### Answer: 689

Expected answer: 646

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of roses the unicorn had initially, and then subtract the number of blue roses that were destroyed by the storm.

Given information:
- The unicorn had 50 red roses.
- The unicorn had 36 blue roses initially.
- 25 blue roses were destroyed in the storm.

Step 1: Find the total number of roses the unicorn had initially.
Total roses initially = Number of red roses + Number of blue roses initially
Total roses initially = 50 + 36 = 86 roses

Step 2: Find the number of blue roses left after the storm.
Number of blue roses left = Number of blue roses initially - Number of blue roses destroyed
Number of blue roses left = 36 - 25 = 11 blue roses

Step 3: Find the total number of roses left after the storm.
Total roses left = Number of red roses + Number of blue roses left
Total roses left = 50 + 11 = 61 roses

Therefore, after the storm, the unicorn has 61 roses left in her mystical garden.

### Answer: 61

Expected answer: 61

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of bottles sent to the first warehouse, then calculate the number of bottles marked for shipping at the other location, and finally add the additional 28 bottles.

Given information:
- The 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, plus an additional 29 bottles.
- By the end of the day, 28 more bottles were added to this shipment.

Step 1: Find the number of bottles sent to the first warehouse.
Number of bottles sent to the first warehouse = 1/2 × 100 = 50 bottles

Step 2: Find the number of bottles marked for shipping at the other location.
Number of bottles marked for shipping = 3 × 50 + 29 = 179 bottles

Step 3: Add the additional 28 bottles to the shipment.
Total number of bottles marked for shipping = 179 + 28 = 207 bottles

Therefore, 207 bottles were marked for shipping in total.

### Answer: 207

Expected answer: 207

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and calculate the required values.

Given information:
- The height of the window frame is calculated as (925 / 37) + 26 inches.
- The width of the window is 11 inches greater than the height.
- The circumference of the window is calculated as (2 × width) + height.
- The size of the glass for the window is calculated by subtracting 32 from the circumference.

Step 1: Calculate the height of the window frame.
Height of the window frame = (925 / 37) + 26
Height of the window frame = 25 + 26
Height of the window frame = 51 inches

Step 2: Calculate the width of the window.
Width of the window = Height of the window frame + 11
Width of the window = 51 + 11
Width of the window = 62 inches

Step 3: Calculate the circumference of the window.
Circumference of the window = (2 × Width) + Height
Circumference of the window = (2 × 62) + 51
Circumference of the window = 124 + 51
Circumference of the window = 175 inches

Step 4: Calculate the size of the glass for the window.
Size of the glass = Circumference of the window - 32
Size of the glass = 175 - 32
Size of the glass = 143 inches

Therefore, the size of the glass required for the window is 143 inches.

### Answer: 143

Expected answer: 143

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the share of gold coins and emeralds per crew member, multiply them, and then subtract 14 from the result.

Given information:
- The pirate finds 135 gold coins and divides them among 9 crew members.
- The pirate finds 323 emeralds and divides them among 19 crew members.
- The pirate multiplies the two shares to find the total share per crew member.
- The pirate realizes that he has overcounted the share by 14.

Step 1: Find the share of gold coins per crew member.
Share of gold coins per crew member = 135 gold coins / 9 crew members
Share of gold coins per crew member = 15 gold coins

Step 2: Find the share of emeralds per crew member.
Share of emeralds per crew member = 323 emeralds / 19 crew members
Share of emeralds per crew member = 17 emeralds

Step 3: Multiply the two shares to find the total share per crew member (before overcounting).
Total share per crew member = Share of gold coins per crew member × Share of emeralds per crew member
Total share per crew member = 15 gold coins × 17 emeralds
Total share per crew member = 255 gold coins × emeralds

Step 4: Subtract 14 from the total share per crew member to find the corrected total share per crew member.
Corrected total share per crew member = Total share per crew member - 14
Corrected total share per crew member = 255 gold coins × emeralds - 14
Corrected total share per crew member = 241 gold coins × emeralds

Therefore, the corrected total share per crew member is 241 gold coins × emeralds.

### Answer: 241 gold coins × emeralds

Expected answer: 241

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the weight of one piece from the 176g bars, and then calculate the total weight of ingredients for the second and third batches of chocolates.

Given information:
- Each 176g chocolate bar is divided into 8 pieces.
- The second batch requires 38 grams of cocoa, the weight of one piece from the 176g bars, and 26 grams of sugar.
- The third batch requires 38 grams of cocoa and 18 grams of milk.

Step 1: Find the weight of one piece from the 176g bars.
Weight of one piece = 176g / 8 = 22g

Step 2: Calculate the total weight of ingredients for the second batch.
Total weight of ingredients for the second batch = 38g (cocoa) + 22g (one piece) + 26g (sugar)
Total weight of ingredients for the second batch = 86g

Step 3: Calculate the total weight of ingredients for the third batch.
Total weight of ingredients for the third batch = 38g (cocoa) + 18g (milk)
Total weight of ingredients for the third batch = 56g

Step 4: Find the difference in the total weight of ingredients between the second and third batches.
Difference in total weight = Total weight of ingredients for the second batch - Total weight of ingredients for the third batch
Difference in total weight = 86g - 56g = 30g

Therefore, the difference in the total weight of ingredients between the second and third batches of chocolates is 30 grams.

### Answer: 30

Expected answer: 14

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of green colored pencils Jenny has and then calculate the product of the number of red and green colored pencils.

Given information:
- Jenny has 9 red colored pencils.
- The number of green colored pencils is 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.

Step 1: Find the number of green colored pencils.
Number of green colored pencils = 38 - Number of red colored pencils
Number of green colored pencils = 38 - 9 = 29

Step 2: Calculate the product of the number of red and green colored pencils.
Total number of times she used all the pencils = Number of red colored pencils × Number of green colored pencils
Total number of times she used all the pencils = 9 × 29 = 261

Therefore, Jenny used all her pencils 261 times.

### Answer: 261

Expected answer: 261

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the standard number of connections in a robot and then adjust it based on the given information.

Given information:
- Each robot model has 17 transistors.
- Each transistor may have 16 separate connections.
- One of the robots has one less connection than standard.
- To compensate for the mistake, an extra 41 connections were added elsewhere.

Step 1: Find the standard number of connections in a robot.
Standard number of connections = Number of transistors × Number of connections per transistor
Standard number of connections = 17 × 16 = 272 connections

Step 2: Adjust the standard number of connections based on the given information.
Number of connections in the strangely built robot = Standard number of connections - 1 (one less connection) + 41 (extra connections added)
Number of connections in the strangely built robot = 272 - 1 + 41
Number of connections in the strangely built robot = 312 connections

Therefore, the total number of connections in the strangely built robot is 312.

### Answer: 312

Expected answer: 312

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of kids during a busy day, subtract the number of kids on the rainy day, and then further subtract 12 (the number of squirrels).

Given information:
- During busy hours, there are 24 kids climbing on each of the 31 different attractions.
- On the rainy day, there were only 6 kids in total.
- There are 12 squirrels scampering around.

Step 1: Find the total number of kids during a busy day.
Number of attractions × Number of kids per attraction = Total number of kids during a busy day
31 × 24 = 744 kids

Step 2: Subtract the number of kids on the rainy day from the total number of kids during a busy day.
Total number of kids during a busy day - Number of kids on the rainy day = Difference in the number of kids
744 - 6 = 738 kids

Step 3: Subtract the number of squirrels from the difference in the number of kids.
Difference in the number of kids - Number of squirrels = Total number of kids counted
738 - 12 = 726 kids

Therefore, after subtracting the number of kids on the rainy day and the number of squirrels, you will have counted a total of 726 kids.

### Answer: 726

Expected answer: 726

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the steps of the magical formula and perform the calculations.

Given information:
- The first step is to subtract 5 from 23 and then multiply by the number of magical chants, which is 6.
- The result is then multiplied by 7 and again by 1.
- Finally, 48 is subtracted from the result.

Step 1: Subtract 5 from 23 and multiply by the number of magical chants (6).
(23 - 5) × 6 = 18 × 6 = 108

Step 2: Multiply the result from Step 1 by 7.
108 × 7 = 756

Step 3: Multiply the result from Step 2 by 1 (no change).
756 × 1 = 756

Step 4: Subtract 48 from the result of Step 3.
756 - 48 = 708

Therefore, if you follow the steps of the magical formula, the ring's magic will be 708 powerful.

### Answer: 708

Expected answer: 708

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cookies the child can make in 24 hours.

Given information:
- The child can make 15 cookies in one hour.
- The child spends 24 hours making cookies.

Step 1: Find the number of cookies the child can make in 24 hours.
Number of cookies made in 24 hours = Number of cookies made in one hour × Number of hours
Number of cookies made in 24 hours = 15 cookies × 24 hours
Number of cookies made in 24 hours = 360 cookies

Therefore, the child can make a total of 360 cookies in 24 hours.

### Answer: 360

Expected answer: 360

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given information step by step and keep track of the number of rings the silversmith has at each stage.

Given information:
- Initially, the silversmith had 16 silver rings in stock.
- After creating more rings, he had 28 silver rings and 24 gold rings.
- He subtracted the number of his original stock of silver rings (16) from the total number of rings he had after creating more rings.
- He traded some rings and ended up with 21 rings less than what he had after the creation stage.
- For a special order, he created 26 times the number of rings he had left after trading.
- He also made 7 platinum rings and 47 bronze rings for another order.

Step 1: Find the total number of rings after creating more rings.
Total rings after creating = 28 silver rings + 24 gold rings = 52 rings

Step 2: Subtract the original stock of silver rings from the total rings after creating.
Rings after subtracting original stock = 52 rings - 16 silver rings = 36 rings

Step 3: Find the number of rings after trading.
Rings after trading = 36 rings - 21 rings = 15 rings

Step 4: Find the number of rings created for the special order.
Rings created for special order = 26 × 15 rings = 390 rings

Step 5: Find the total number of rings by adding the rings created for the special order, platinum rings, and bronze rings.
Total rings = 390 rings + 7 platinum rings + 47 bronze rings = 444 rings

Therefore, the silversmith has a total of 444 rings now.

### Answer: 444

Expected answer: 444

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of flowers in the rows and the total number of flowers in the small corners, and then calculate the difference between them.

Given information:
- Each row contains 40 flowers, but only half of them grow properly.
- There are 19 rows planted.
- The gardener plants 18 bulbs in one corner and 48 bulbs in another corner.

Step 1: Find the total number of flowers in the rows.
Number of flowers per row that grow properly = 40 / 2 = 20 flowers
Total number of flowers in the rows = 20 flowers × 19 rows = 380 flowers

Step 2: Find the total number of flowers in the small corners.
Total number of flowers in the small corners = 18 bulbs + 48 bulbs = 66 bulbs

Step 3: Calculate the difference between the total number of flowers in the rows and the small corners.
Difference = Total number of flowers in the rows - Total number of flowers in the small corners
Difference = 380 - 66 = 314

Therefore, the difference between the total number of flowers in the rows and the small corners is 314.

### Answer: 314

Expected answer: 314

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of eggs laid by the bird this month and then add the additional eggs distributed by the forest welcoming committee.

Given information:
- The bird lays an average of 11 eggs per month.
- This month, the bird laid 4 times the average.
- The forest welcoming committee distributed an additional 40 eggs.

Step 1: Find the number of eggs laid by the bird this month.
Average number of eggs per month = 11
Number of eggs laid this month = 4 × Average number of eggs per month
Number of eggs laid this month = 4 × 11 = 44 eggs

Step 2: Find the total number of eggs in the forest this month.
Total number of eggs = Number of eggs laid by the bird + Additional eggs distributed
Total number of eggs = 44 + 40 = 84 eggs

Therefore, there are 84 eggs in the forest this month.

### Answer: 84

Expected answer: 84

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to keep track of the number of drops of paint in each step.

Given information:
- Initially, there are 41 drops of red paint.
- 13 drops of white paint are added to the initial mixture.
- The same amount of red paint (41 drops) is added to the mixture.
- A sample of 34 drops is taken from the mixture and added to a new mixture.
- The same amount of the 34-drop sample is taken away from the new mixture.

Step 1: Find the total number of drops in the initial mixture after adding white and red paint.
Total drops in the initial mixture = 41 (red) + 13 (white) + 41 (red) = 95 drops

Step 2: Find the number of drops in the new mixture after adding the 34-drop sample.
Number of drops in the new mixture = 34 drops

Step 3: Find the number of drops in the new mixture after taking away the 34-drop sample.
Number of drops in the new mixture = 34 - 34 = 0 drops

Therefore, there are 0 drops of paint in the new mixture after taking away the 34-drop sample.

### Answer: 0

Expected answer: 95

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to break it down into smaller steps and perform the necessary calculations.

Given information:
- The factory made 32 toy cars on Monday and 27 toy cars on Tuesday.
- The difference between the number of toy cars made on Monday and Tuesday is multiplied by 49 to determine the weekly goal.
- The staff number in the factory is 12, and each staff member makes 9 toy cars per 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.

Step 1: Calculate the difference between the number of toy cars made on Monday and Tuesday.
Difference = 32 - 27 = 5

Step 2: Calculate the weekly goal by multiplying the difference by 49.
Weekly goal = 5 × 49 = 245

Step 3: Calculate the total number of toy cars prepared by staff members in a week.
Total toy cars prepared by staff members = 12 (staff members) × 9 (toy cars per day) × 7 (days in a week)
Total toy cars prepared by staff members = 12 × 9 × 7 = 756

Step 4: Add 45 to the total number of toy cars prepared by staff members.
Total toy cars prepared by staff members + 45 = 756 + 45 = 801

Step 5: Add the weekly goal and the additional 31 toy cars prepared on Friday to the total toy cars prepared by staff members.
Total toy cars made = Weekly goal + Total toy cars prepared by staff members + Additional toy cars on Friday
Total toy cars made = 245 + 801 + 31 = 1077

Therefore, the total number of toy cars made in this process is 1077.

### Answer: 1077

Expected answer: 429

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of carrots over 44 and then multiply it by the amount earned per carrot over 44.

Given information:
- The farmer harvested 45 carrots in one day.
- For every carrot over 44 per day, the farmer can earn $29.

Step 1: Find the number of carrots over 44.
Number of carrots over 44 = 45 - 44 = 1 carrot

Step 2: Calculate the amount earned for the carrots over 44.
Amount earned = Number of carrots over 44 × Amount earned per carrot over 44
Amount earned = 1 × $29 = $29

Therefore, if the farmer continues to harvest 45 carrots per day, he would earn $29 per day for the one carrot over 44.

### Answer: $29

Expected answer: 29

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of socks the worker has after production and then calculate the total revenue from selling those socks. Finally, we add the $13 found on the floor to get the total amount of money the worker has.

Given information:
- The worker started with 26 pairs of socks.
- 50 pairs of socks got torn and had to be discarded.
- The worker produced 36 more pairs of socks.
- Each pair of socks is sold for $37.
- The worker found a $13 bill on the floor.

Step 1: Find the total number of pairs of socks the worker has after production.
Initial pairs of socks - Discarded pairs + Produced pairs = Total pairs of socks
26 - 50 + 36 = 12 pairs of socks

Step 2: Calculate the total revenue from selling the socks.
Total pairs of socks × Price per pair = Total revenue
12 × $37 = $444

Step 3: Add the $13 found on the floor to the total revenue.
Total revenue + Money found = Total money
$444 + $13 = $457

Therefore, the worker has a total of $457 after earning from the sock sales and finding the $13 bill on the floor.

### Answer: 457

Expected answer: 457

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and perform the necessary calculations.

Given information:
- The jewelry maker initially had 38 beads.
- She removed a number of beads equal to dividing 560 by 40.
- She may have actually started with 15 more beads than she initially thought.
- After adjusting the count and removing some beads, she added one more bead.
- Then, she added 39 more beads.

Step 1: Calculate the number of beads removed.
560 ÷ 40 = 14
Number of beads removed = 14

Step 2: Calculate the adjusted initial count of beads.
Adjusted initial count = 38 + 15 = 53 beads

Step 3: Calculate the number of beads after removing the beads.
Number of beads after removing = 53 - 14 = 39 beads

Step 4: Calculate the number of beads after adding one more bead.
Number of beads after adding one = 39 + 1 = 40 beads

Step 5: Calculate the final number of beads after adding 39 more beads.
Final number of beads = 40 + 39 = 79 beads

Therefore, the jewelry maker now has 79 beads.

### Answer: 79

Expected answer: 79

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given information and perform the necessary calculations step by step.

Given information:
- Initially, there are 30 sharks in the aquarium.
- 23 sharks are moved to a different area.
- 14 sharks are brought in.
- 3 more sharks are moved to the other area.
- The remaining number of sharks is multiplied by 43 for a research study.

Step 1: Find the number of sharks after 23 are moved to the other area.
Initial number of sharks - Sharks moved to the other area = Remaining sharks
30 - 23 = 7 sharks

Step 2: Find the number of sharks after 14 are brought in.
Remaining sharks + Sharks brought in = New number of sharks
7 + 14 = 21 sharks

Step 3: Find the number of sharks after 3 more are moved to the other area.
New number of sharks - Sharks moved to the other area = Final number of sharks
21 - 3 = 18 sharks

Step 4: Multiply the final number of sharks by 43 for the research study.
Final number of sharks × 43 = Final figure for the research
18 × 43 = 774

Therefore, the final figure for the research study is 774.

### Answer: 774

Expected answer: 774

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of gold coins earned in the first two rounds, and then subtract that number from the total number of emeralds and sapphires collected in the third round.

Given information:
- In each round, you collect 150 points.
- The points are divided by 10 to determine the number of gold coins earned.
- After two rounds, you earned some gold coins.
- In the third round, you collected 28 emeralds and 14 sapphires.
- You had to sacrifice the same amount of gold coins as you earned in the first two rounds.

Step 1: Find the number of gold coins earned in one round.
Points collected in one round = 150
Number of gold coins earned in one round = 150 / 10 = 15 gold coins

Step 2: Find the number of gold coins earned in the first two rounds.
Number of gold coins earned in the first two rounds = 15 × 2 = 30 gold coins

Step 3: Find the number of emeralds and sapphires left after sacrificing the gold coins.
Total emeralds and sapphires collected in the third round = 28 emeralds + 14 sapphires = 42
Number of emeralds and sapphires left = Total emeralds and sapphires collected - Gold coins sacrificed
Number of emeralds and sapphires left = 42 - 30 = 12

Therefore, after the third round, you had 12 emeralds and sapphires left.

### Answer: 12

Expected answer: 12

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to keep track of the number of containers the train is carrying at each step.

Given information:
- The train gets to carry 15 containers every day.
- On Fridays, the train gets to carry an extra 12 containers.
- The following Monday, the train carries an additional 26 containers.
- On Wednesday, the load decreases by 32 containers.
- For a particular trip, the train is coupled with 2 more containers.
- After it makes one stop, an additional 48 containers are loaded onto the train.

Step 1: Find the number of containers the train is carrying on a regular day.
Number of containers on a regular day = 15

Step 2: Find the number of containers the train is carrying on Friday.
Number of containers on Friday = 15 + 12 = 27

Step 3: Find the number of containers the train is carrying on Monday.
Number of containers on Monday = 27 + 26 = 53

Step 4: Find the number of containers the train is carrying on Wednesday.
Number of containers on Wednesday = 53 - 32 = 21

Step 5: Find the number of containers the train is carrying for a particular trip.
Number of containers for a particular trip = 21 + 2 = 23

Step 6: Find the number of containers the train is carrying after making one stop.
Number of containers after making one stop = 23 + 48 = 71

Therefore, the train is carrying 71 containers at this point.

### Answer: 71

Expected answer: 71

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of lemons the farmer had initially, and then subtract the number of spoiled lemons and the number of lemons used to make lemonade.

Given information:
- The farmer harvested 39 lemons in the morning.
- The farmer harvested 33 lemons in the afternoon.
- 12 lemons got spoiled by the end of the day.
- The farmer used 23 lemons to make lemonade the next day.

Step 1: Find the total number of lemons the farmer had initially.
Total lemons harvested = Lemons harvested in the morning + Lemons harvested in the afternoon
Total lemons harvested = 39 + 33 = 72 lemons

Step 2: Subtract the number of spoiled lemons from the total lemons harvested.
Lemons remaining after spoilage = Total lemons harvested - Spoiled lemons
Lemons remaining after spoilage = 72 - 12 = 60 lemons

Step 3: Subtract the number of lemons used to make lemonade from the remaining lemons.
Lemons left after making lemonade = Lemons remaining after spoilage - Lemons used for lemonade
Lemons left after making lemonade = 60 - 23 = 37 lemons

Therefore, the farmer had 37 lemons left after making lemonade.

### Answer: 37

Expected answer: 37

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of nectar droplets the bee collects from the flowers and add it to the initial number of nectar droplets it had.

Given information:
- The bee lands on 33 flowers in an hour.
- The bee collects 15 nectar droplets from each flower.
- The bee started with 26 nectar droplets.

Step 1: Find the number of nectar droplets the bee collects from the flowers.
Number of flowers × Number of nectar droplets collected per flower = Total nectar droplets collected
33 × 15 = 495 nectar droplets collected

Step 2: Find the total number of nectar droplets the bee has after an hour.
Initial number of nectar droplets + Total nectar droplets collected = Total nectar droplets after an hour
26 + 495 = 521 nectar droplets

Therefore, after an hour, the bee has 521 nectar droplets.

### Answer: 521

Expected answer: 521

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of marshmallow packs produced in a day after the increase in production, and then divide it by the number of working hours to find the new hourly production rate.

Given information:
- Initial production rate: 36 marshmallow packs per hour.
- Additional marshmallows added to daily production: 350 marshmallows.
- Additional marshmallow packs added to hourly production: 6 packs per hour.
- Working hours per day: 7 hours.
- Actual production rate is 43 packs per hour less than the goal.

Step 1: Find the total number of marshmallow packs produced in a day after the increase in production.
Initial daily production = 36 packs per hour × 7 hours = 252 packs
Additional marshmallows added to daily production = 350 marshmallows
Additional marshmallow packs added to daily production = 6 packs per hour × 7 hours = 42 packs
Total daily production after the increase = 252 packs + 350 marshmallows + 42 packs = 644 packs

Step 2: Find the goal for the new hourly production rate.
Goal for new hourly production rate = Total daily production after the increase / Working hours per day
Goal for new hourly production rate = 644 packs / 7 hours = 92 packs per hour

Step 3: Find the actual new hourly production rate.
Actual new hourly production rate = Goal for new hourly production rate - 43 packs per hour
Actual new hourly production rate = 92 packs per hour - 43 packs per hour = 49 packs per hour

Therefore, the company is now producing 49 marshmallow packs per hour.

### Answer: 49

Expected answer: 49

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the daily averages for both wizards and then calculate the difference between them. After that, we can multiply the difference by the second wizard's daily average to find the value of 'n'.

Given information:
- The first wizard produces 882 glimmering lights over 21 days.
- The second wizard produces 460 glowing orbs in 20 days.

Step 1: Find the daily average for the first wizard.
Daily average for the first wizard = Total lights produced / Number of days
Daily average for the first wizard = 882 / 21
Daily average for the first wizard = 42 lights per day

Step 2: Find the daily average for the second wizard.
Daily average for the second wizard = Total orbs produced / Number of days
Daily average for the second wizard = 460 / 20
Daily average for the second wizard = 23 orbs per day

Step 3: Find the difference between the daily averages.
Difference in daily averages = Daily average for the first wizard - Daily average for the second wizard
Difference in daily averages = 42 - 23
Difference in daily averages = 19

Step 4: Calculate the value of 'n'.
n = Difference in daily averages × Daily average for the second wizard
n = 19 × 23
n = 437

Therefore, the magical constant 'n' is 437.

### Answer: 437

Expected answer: 437

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of components used in creating the limited edition candy.

Given information:
- The Sugar Rush has 14 base ingredients.
- The Candy Twirl has 25 base ingredients.
- The Jawbreaker has 16 base ingredients.
- The Special Mix combines all the bestsellers and adds 43 extra goodies.
- To create the limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, combine it with one of each flavor from their 20 different flavored candies (excluding 19 of them), and then remove 3 experimental sweets.

Step 1: Find the total number of components in the Special Mix.
Number of components in the Special Mix = 14 (Sugar Rush) + 25 (Candy Twirl) + 16 (Jawbreaker) + 43 (extra goodies)
Number of components in the Special Mix = 98

Step 2: Find the total number of components after adding 7 uniquely crafted sweets and one of each flavor from their 20 different flavored candies (excluding 19 of them).
Number of components after adding sweets and one flavor = 98 + 7 + 1
Number of components after adding sweets and one flavor = 106

Step 3: Find the total number of components after removing 3 experimental sweets.
Number of components in the limited edition candy = 106 - 3
Number of components in the limited edition candy = 103

Therefore, the count of various components used in creating the limited edition candy is 103.

### Answer: 103

Expected answer: 103

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given information step by step and keep track of the number of officers on duty.

Given information:
- Initially, 32 officers were assigned to the north district, 33 to the south district, and 29 to the downtown district.
- After the operation, 21 officers from the downtown district were transferred elsewhere.
- A week later, 39 officers were added to the remaining duty force.
- Later that day, another 14 officers joined the force.

Step 1: Find the number of officers remaining after the operation.
Officers in the north district = 32
Officers in the south district = 33
Officers in the downtown district after the transfer = 29 - 21 = 8
Total officers remaining after the operation = 32 + 33 + 8 = 73

Step 2: Find the number of officers after adding 39 officers a week later.
Officers after adding 39 = 73 + 39 = 112

Step 3: Find the total number of officers on duty by the end of the day after adding 14 more officers.
Total officers on duty by the end of the day = 112 + 14 = 126

Therefore, by the end of the day, there were 126 officers on duty.

### Answer: 126

Expected answer: 126

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the final distance between the Moon and the Earth after the given changes, and then multiply it by 19 and subtract 27.

Given information:
- Initial distance between the Moon and the Earth = 36 million kilometers.
- The distance decreased by 19 million kilometers later in the month.
- The distance then increased by 11 million kilometers.

Step 1: Find the distance after the decrease of 19 million kilometers.
Distance after decrease = Initial distance - Decrease in distance
Distance after decrease = 36 million km - 19 million km = 17 million km

Step 2: Find the final distance after the increase of 11 million kilometers.
Final distance = Distance after decrease + Increase in distance
Final distance = 17 million km + 11 million km = 28 million km

Step 3: Calculate the value by multiplying the final distance by 19 and subtracting 27.
Value = (Final distance × 19) - 27
Value = (28 × 19) - 27
Value = 532 - 27
Value = 505

Therefore, the value obtained by multiplying the final distance (in millions of kilometers) by 19 and subtracting 27 is 505.

### Answer: 505

Expected answer: 505

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance covered by the first tiger and then subtract it from the distance covered by the second tiger.

Given information:
- A tiger's average step length is 9 meters.
- The first tiger took two steps and then leaped 44 meters.
- The second tiger covered a distance combining 23 meters with a leap and a 46-meter run.

Step 1: Find the distance covered by the first tiger.
Distance covered by the first tiger = (2 steps × 9 meters) + 44 meters
Distance covered by the first tiger = 18 meters + 44 meters
Distance covered by the first tiger = 62 meters

Step 2: Find the distance covered by the second tiger before retracing.
Distance covered by the second tiger = 23 meters + 46 meters
Distance covered by the second tiger = 69 meters

Step 3: Find the distance covered by the second tiger after retracing the distance equal to the first tiger's steps and leap.
Distance covered by the second tiger finally = Distance covered by the second tiger before retracing - Distance covered by the first tiger
Distance covered by the second tiger finally = 69 meters - 62 meters
Distance covered by the second tiger finally = 7 meters

Therefore, the second tiger covered a distance of 7 meters finally.

### Answer: 7

Expected answer: 7

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to calculate the total number of toothpaste tubes produced on Sunday, Monday, and Tuesday, and then add them together.

Given information:
- The factory produces 26 tubes of toothpaste every hour.
- On Sundays, they work for 7 hours and produce an additional 8 tubes.
- On Monday, they add another 31 tubes to their Sunday's total.
- They have 50 empty boxes, and they use 19 of them for another department.
- On Tuesday, they produce an additional 48 tubes of toothpaste.

Step 1: Calculate the number of toothpaste tubes produced on Sunday.
Tubes produced on Sunday = (26 tubes/hour × 7 hours) + 8 tubes
Tubes produced on Sunday = 182 + 8 = 190 tubes

Step 2: Calculate the number of toothpaste tubes produced on Monday.
Tubes produced on Monday = 31 tubes

Step 3: Calculate the number of empty boxes available for packaging.
Empty boxes available = 50 - 19 = 31 boxes

Step 4: Calculate the total number of toothpaste tubes ready after Monday's production.
Total tubes ready after Monday = Empty boxes available + Tubes produced on Monday
Total tubes ready after Monday = 31 + 31 = 62 tubes

Step 5: Calculate the number of toothpaste tubes produced on Tuesday.
Tubes produced on Tuesday = 48 tubes

Step 6: Calculate the total number of toothpaste tubes produced until Tuesday, inclusive.
Total tubes produced until Tuesday = Tubes produced on Sunday + Tubes produced on Monday + Tubes produced on Tuesday
Total tubes produced until Tuesday = 190 + 31 + 48 = 269 tubes

### Answer: 269

Expected answer: 300

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to keep track of the number of items the unicorn has after each event.

Given information:
- The unicorn initially has 42 rainbow pebbles.
- The next day, the unicorn finds 26 more rainbow pebbles.
- The unicorn has a stash of 44 dreamberries.
- The unicorn gathers 33 more rainbow pebbles and adds them to the stash of dreamberries.
- The unicorn finds 40 magical dandelions and adds them to the stash.
- The unicorn loses 14 items from the stash.

Step 1: Find the total number of rainbow pebbles after the second day.
Initial rainbow pebbles + Rainbow pebbles found on the second day = Total rainbow pebbles
42 + 26 = 68 rainbow pebbles

Step 2: Find the total number of items in the stash after adding the 33 rainbow pebbles.
Dreamberries + Rainbow pebbles gathered = Total items in the stash
44 + 33 = 77 items in the stash

Step 3: Find the total number of items in the stash after adding the 40 magical dandelions.
Items in the stash + Magical dandelions = Total items in the stash
77 + 40 = 117 items in the stash

Step 4: Find the total number of items after losing 14 items from the stash.
Total items in the stash - Items lost = Total items remaining
117 - 14 = 103 items remaining

Therefore, after all these events, the unicorn has a total of 103 items altogether.

### Answer: 103

Expected answer: 171

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of jewels the pirate captain had initially, then subtract the number of jewels he lost, and finally add the number of jewels he found.

Given information:
- The pirate captain has a treasure chest containing 23 types of jewels.
- Each type has 28 jewels.
- He lost 40 jewels on his way back to his ship.
- He found 16 jewels from a deserted island.

Step 1: Find the total number of jewels the pirate captain had initially.
Total number of jewels = Number of types of jewels × Number of jewels per type
Total number of jewels = 23 × 28 = 644 jewels

Step 2: Subtract the number of jewels he lost.
Number of jewels remaining after losing 40 jewels = 644 - 40 = 604 jewels

Step 3: Add the number of jewels he found.
Number of jewels after finding 16 jewels = 604 + 16 = 620 jewels

Therefore, the pirate captain now has 620 jewels in his treasure chest.

### Answer: 620

Expected answer: 620

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and perform the necessary calculations.

Given information:
- The star initially has 38 neutrons.
- It gains 4 more neutrons.
- The total number of neutrons is multiplied by 18 to create a sensational energy output.
- During an explosion, it additionally releases the energy equivalent to 6 plus 25.

Step 1: Find the total number of neutrons after gaining 4 more.
Total number of neutrons = Initial number of neutrons + Additional neutrons
Total number of neutrons = 38 + 4 = 42 neutrons

Step 2: Calculate the sensational energy output by multiplying the total number of neutrons by 18.
Sensational energy output = Total number of neutrons × 18
Sensational energy output = 42 × 18 = 756 units of energy

Step 3: Calculate the additional energy released during the explosion.
Additional energy released = 6 + 25 = 31 units of energy

Step 4: Calculate the total energy emitted by the star.
Total energy emitted = Sensational energy output + Additional energy released
Total energy emitted = 756 + 31 = 787 units of energy

### Answer: 787

Expected answer: 787

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to break it down into smaller steps and calculate each part separately.

Given information:
- The gardener initially planted 13 sunflowers.
- The number of sunflowers he needed to plant next was calculated as 37 times the number of petals on one sunflower (5), minus 18.
- He then subtracted 10 flowers from that number and added his initial 13 sunflowers to create a new total.
- He had 92 orchids, and each spot in the special part of the garden can hold 23 orchids.
- At the end of the week, he summed up the total number of plants he worked on and the spots needed, then doubled that total.

Step 1: Calculate the number of sunflowers he needed to plant next.
Number of sunflowers to plant next = (37 × 5) - 18 = 185 - 18 = 167

Step 2: Calculate the new total of sunflowers after subtracting 10 and adding the initial 13.
New total of sunflowers = (167 - 10) + 13 = 157 + 13 = 170

Step 3: Calculate the number of spots needed for the 92 orchids.
Number of spots needed = 92 ÷ 23 = 4

Step 4: Calculate the sum of the total number of plants he worked on and the spots needed.
Total plants and spots = 170 (sunflowers) + 92 (orchids) + 4 (spots) = 266

Step 5: Double the total from Step 4.
Final total = 266 × 2 = 532

### Answer: 532

Expected answer: 348

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of flies caught by all the frogs in a day.

Given information:
- There are 18 frogs in the pond.
- Each frog can catch 21 flies in a day.

Step 1: Find the number of flies caught by one frog in a day.
Number of flies caught by one frog in a day = 21 flies

Step 2: Find the total number of flies caught by all the frogs in a day.
Total number of flies caught by all the frogs in a day = Number of frogs × Number of flies caught by one frog in a day
Total number of flies caught by all the frogs in a day = 18 × 21 flies
Total number of flies caught by all the frogs in a day = 378 flies

Therefore, all the frogs catch 378 flies in a day.

### Answer: 378

Expected answer: 378

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of chairs in the meeting room after adding the additional chairs from the storage room.

Given information:
- The main meeting room initially has 21 chairs.
- An additional 22 chairs are brought from the storage room.

To find the total number of chairs in the meeting room, we need to add the initial number of chairs and the additional chairs.

Total number of chairs = Initial number of chairs + Additional chairs
Total number of chairs = 21 + 22
Total number of chairs = 43

Therefore, there are 43 chairs in the meeting room now for the event.

### Answer: 43

Expected answer: 43

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of elephants in the park after the new additions.

Given information:
- Initially, there were 14 elephants in the conservation park.
- 11 new baby elephants were born this year.
- The park received 25 more elephants from various rescues.

Step 1: Find the total number of new elephants added to the park.
Number of new baby elephants + Number of elephants received from rescues = Total new elephants added
11 + 25 = 36 new elephants added

Step 2: Find the total number of elephants in the park now.
Initial number of elephants + Total new elephants added = Total number of elephants in the park now
14 + 36 = 50 elephants

Therefore, there are now 50 elephants in the conservation park.

### Answer: 50

Expected answer: 50

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and calculate the values of y, g, x, and s, and then find the final value m.

Given information:
- The treasure chest contains 23 emeralds and 30 diamonds.
- 39 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.
- There were 540 rubies in another chest, which were equally shared among 45 pirates, and then 3 were 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.

Step 1: Find the number of real stones left (y) in the first chest.
Total stones = 23 emeralds + 30 diamonds = 53 stones
Real stones left = 53 - 39 fake stones = 14 stones
y = 14

Step 2: Calculate the value of the first chest (g).
g = y^2 - 37
g = 14^2 - 37
g = 196 - 37
g = 159

Step 3: Find the remaining number of rubies (x) after sharing and losing 3.
Total rubies = 540
Rubies per pirate = 540 / 45 = 12 rubies
Remaining rubies after sharing = 540 - (45 × 12) = 540 - 540 = 0
Remaining rubies after losing 3 = 0 - 3 = -3
x = -3

Step 4: Calculate the new value by subtracting x from g.
New value = g - x
New value = 159 - (-3)
New value = 159 + 3
New value = 162

Step 5: Find the count of remaining pearls and zirconias (s).
Total pearls and zirconias = 23 pearls + 11 zirconias = 34 pieces
Remaining pieces after discarding 9 = 34 - 9 = 25 pieces
s = 25

Step 6: Calculate the value of the remaining treasure (m) by subtracting s from the new value.
m = New value - s
m = 162 - 25
m = 137

Therefore, the value (m) of the remaining treasure is 137.

### Answer: 137

Expected answer: 125

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps:

Given information:
- There are 6 confirmed UFO sightings in a small city initially.
- After a viral event, there are an additional 504 sightings over the next 14 days.
- The maximum number of sightings recorded in one day is 9.
- The number of sightings typically dismissed as random is 3.

Step 1: Calculate the daily average of additional sightings.
Daily average of additional sightings = Total additional sightings / Number of days
Daily average of additional sightings = 504 / 14
Daily average of additional sightings = 36

Step 2: Subtract the initial confirmed sightings from the daily average.
Daily average after subtracting initial sightings = 36 - 6 = 30

Step 3: Calculate the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number typically dismissed as random (3).
Result = 9 - 3 = 6

Step 4: Multiply the result from Step 2 and Step 3.
Number of sightings according to the calculation = 30 × 6 = 180

Therefore, according to the given calculation, there are 180 sightings.

### Answer: 180

Expected answer: 180

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of red patches required for the design, then subtract it from the number of green patches available.

Given information:
- The blanket maker has 5 square patches of blue material.
- She needs to subtract the blue patches from 26 × 25 square patches of red material for the design.
- She has 48 × 21 square patches of green material.

Step 1: Find the number of red patches required for the design.
Number of red patches required = (26 × 25) - 5
Number of red patches required = 650 - 5
Number of red patches required = 645 square patches

Step 2: Find the number of green patches available.
Number of green patches available = 48 × 21
Number of green patches available = 1008 square patches

Step 3: Find the difference between the number of green patches and the number of red patches required for the design.
Difference = Number of green patches available - Number of red patches required
Difference = 1008 - 645
Difference = 363 square patches

Therefore, the difference between the blanket maker's stock of green patches and the red patches needed for the design is 363 square patches.

### Answer: 363

Expected answer: 363

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of baskets of lemons picked and then subtract the number of baskets used for making lemonade. The remaining number of baskets can then be multiplied by the number of bottles of lemonade produced per basket.

Given information:
- 38 baskets of lemons were picked from the trees near the river.
- 24 baskets of lemons were picked from the trees near an old well.
- 16 baskets of lemons were picked from the trees near the school.
- 13 baskets of lemons were picked from the trees near the mayor's house.
- 35 baskets of lemons were used for making lemonade.
- Each basket of lemons can produce 14 bottles of lemonade.

Step 1: Find the total number of baskets of lemons picked.
Total baskets of lemons picked = 38 + 24 + 16 + 13 = 91 baskets

Step 2: Find the number of remaining baskets after using 35 baskets for lemonade.
Remaining baskets = Total baskets of lemons picked - Baskets used for lemonade
Remaining baskets = 91 - 35 = 56 baskets

Step 3: Calculate the number of bottles of lemonade that can be produced from the remaining baskets.
Number of bottles of lemonade = Remaining baskets × Bottles of lemonade per basket
Number of bottles of lemonade = 56 × 14 = 784 bottles

Therefore, the villagers would get 784 bottles of lemonade from the remaining baskets.

### Answer: 784

Expected answer: 784

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given information step-by-step and keep track of the number of seashells Amy has at each step.

Given information:
- Amy found 21 seashells in the sandbox.
- She gave 15 seashells 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 seashells.
- She gave 23 seashells to her brother.
- She gave 27 seashells to her cousin.

Step 1: Find the number of seashells Amy had after giving 15 to her sister.
Number of seashells after giving 15 to her sister = 21 - 15 = 6 seashells

Step 2: Find the number of seashells Amy found the next day.
Number of seashells found the next day = 6 + 13 = 19 seashells

Step 3: Find the total number of seashells Amy had after finding the additional 49 seashells.
Total number of seashells = 19 + 49 = 68 seashells

Step 4: Find the number of seashells Amy had after giving 23 to her brother and 27 to her cousin.
Number of seashells after giving to her brother and cousin = 68 - 23 - 27 = 18 seashells

Therefore, Amy has 18 seashells left now.

### Answer: 18

Expected answer: 18

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the steps given in the question and perform the required operations.

Given information:
- In the first round, Anna thought of two numbers: 7 and 10, and added them together.
- In the second round, Anna thought of a number 29, subtracted the result from the first round, and then subtracted 8 more from that result.
- In the final round, Anna added the results from the first and second rounds, and then multiplied the sum by the result from the second round.

Step 1: Find the result of the first round.
Result of the first round = 7 + 10 = 17

Step 2: Find the result of the second round.
Result of the second round = 29 - 17 - 8 = 4

Step 3: Find the sum of the results from the first and second rounds.
Sum of the results = 17 + 4 = 21

Step 4: Find the final result by multiplying the sum from Step 3 by the result from the second round.
Final result = 21 × 4 = 84

Therefore, the final result of Princess Anna's game is 84.

### Answer: 84

Expected answer: 84

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find out how much money Sam gave to Ellen and then add the $24 he received from his brother.

Given information:
- Ellen originally had $15.
- Sam originally had $48.
- After giving money to Ellen, Sam had the same amount of money as Ellen originally had, which is $15.
- Sam received $24 from his brother.

Step 1: Find how much money Sam gave to Ellen.
Sam's original money - Amount of money Sam had after giving to Ellen = Amount of money Sam gave to Ellen
$48 - $15 = $33

Step 2: Find Sam's current money after receiving $24 from his brother.
Amount of money Sam had after giving to Ellen + Money received from his brother = Sam's current money
$15 + $24 = $39

Therefore, Sam now has $39.

### Answer: 39

Expected answer: 57

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total length of the waterway and then subtract the inaccessible portion.

Given information:
- The river is 33 kilometers long.
- The connected tributary adds 19 kilometers to the total length.
- A 30-kilometer portion of the river is inaccessible.

Step 1: Find the total length of the waterway.
Total length of the waterway = Length of the river + Length of the tributary
Total length of the waterway = 33 km + 19 km = 52 km

Step 2: Subtract the inaccessible portion from the total length.
Length of the waterway that can be studied = Total length of the waterway - Inaccessible portion
Length of the waterway that can be studied = 52 km - 30 km = 22 km

Therefore, the scientists were able to study 22 kilometers of the river.

### Answer: 22

Expected answer: 22

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of shots in each photographer's collection and then add them together.

Given information:
- Photographer 1:
  - Initially took 34 shots at a wedding.
  - Removed 19 out-of-focus shots.
  - Took an additional 21 shots at a different event.
  - Added 23 more shots from a third event.
- Photographer 2:
  - Took 880 shots at a large event.
  - Selected every 40th shot for their collection.

Step 1: Find the number of shots in Photographer 1's collection.
Shots from the wedding = 34 - 19 = 15 shots
Shots from the second event = 21 shots
Shots from the third event = 23 shots
Total shots in Photographer 1's collection = 15 + 21 + 23 = 59 shots

Step 2: Find the number of shots in Photographer 2's collection.
Number of shots selected = 880 / 40 = 22 shots

Step 3: Find the total number of shots in their collections combined.
Total shots = Photographer 1's collection + Photographer 2's collection
Total shots = 59 + 22 = 81 shots

### Answer: 81

Expected answer: 81

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of gold coins the pirate had after finding the treasure chest and then add the newly discovered loot of 47 gold coins, and finally subtract the 22 gold coins spent on rum.

Given information:
- The pirate had 13 gold coins initially.
- The treasure chest contained 3 times the amount of his previous loot (13 gold coins).
- The pirate spent 22 gold coins on rum.
- The pirate discovered another loot of 47 gold coins.

Step 1: Find the number of gold coins in the treasure chest.
Number of gold coins in the treasure chest = 3 × 13 = 39 gold coins

Step 2: Find the total number of gold coins after finding the treasure chest.
Total gold coins after finding the treasure chest = Initial gold coins + Gold coins in the treasure chest
Total gold coins after finding the treasure chest = 13 + 39 = 52 gold coins

Step 3: Subtract the gold coins spent on rum.
Gold coins remaining after spending on rum = Total gold coins after finding the treasure chest - Gold coins spent on rum
Gold coins remaining after spending on rum = 52 - 22 = 30 gold coins

Step 4: Add the newly discovered loot of 47 gold coins.
Total gold coins now = Gold coins remaining after spending on rum + Newly discovered loot
Total gold coins now = 30 + 47 = 77 gold coins

Therefore, the pirate has 77 gold coins now.

### Answer: 77

Expected answer: 64

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of days saved by the hiker due to various factors.

Given information:
- The hiker traveled an average of 900 miles in 36 days.
- Increasing his daily average to 16 miles reduced his remaining journey by a certain number of days.
- Finding a shortcut saved him 4 days.
- Another path advised by a friendly traveler saved him 40 days.
- Good weather saved him 21 days.

Step 1: Find the original daily average distance traveled by the hiker.
Original daily average distance = Total distance / Total days
Original daily average distance = 900 miles / 36 days
Original daily average distance = 25 miles per day

Step 2: Find the number of days saved by increasing the daily average to 16 miles.
Number of days saved = Remaining distance at the original pace / (New pace - Original pace)
Number of days saved = (900 miles - 36 days × 25 miles/day) / (16 miles/day - 25 miles/day)
Number of days saved = 180 miles / (-9 miles/day)
Number of days saved = -20 days

Step 3: Calculate the total number of days saved.
Total days saved = Days saved by increasing daily average + Days saved by shortcut + Days saved by another path + Days saved due to good weather
Total days saved = -20 days + 4 days + 40 days + 21 days
Total days saved = 45 days

Therefore, the hiker saved a total of 45 days on his journey.

### Answer: 45

Expected answer: 74

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pillows produced in a day and then subtract the number of pillows lost due to machine errors.

Given information:
- The company produces 33 pillows every hour.
- The company operates round the clock (24 hours a day).
- The company incurred a loss of 43 pillows due to machine errors in a day.

Step 1: Find the total number of pillows produced in a day.
Number of pillows produced per hour × Number of hours in a day = Total number of pillows produced in a day
33 pillows × 24 hours = 792 pillows

Step 2: Subtract the number of pillows lost due to machine errors.
Total number of pillows produced in a day - Number of pillows lost = Total number of pillows manufactured in a day
792 pillows - 43 pillows = 749 pillows

Therefore, after accounting for the losses, the total number of pillows the company manufactured in a day is 749 pillows.

### Answer: 749

Expected answer: 749

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of rooms equivalent to the 216 bricks in the other wing, and then add it to the 5 rooms in the first wing.

Given information:
- There are 5 rooms in one wing.
- The other wing has 216 bricks.
- One room is equivalent to 36 bricks.

Step 1: Find the number of rooms equivalent to 216 bricks.
Number of rooms = Number of bricks / Number of bricks per room
Number of rooms = 216 / 36
Number of rooms = 6

Step 2: Find the total number of rooms by adding the rooms from both wings.
Total number of rooms = Number of rooms in the first wing + Number of rooms in the other wing
Total number of rooms = 5 + 6
Total number of rooms = 11

Therefore, according to the given rule, there would be a total of 11 rooms considered in the Castle.

### Answer: 11

Expected answer: 11

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to keep track of the changes in the number of goals scored by the player.

Given information:
- The player initially scored 15 goals each over 31 matches, which is 15 × 31 = 465 goals.
- Due to an error, 43 goals were discounted, so the player had 465 - 43 = 422 goals.
- The error was rectified, and 40 goals were awarded back, so the player had 422 + 40 = 462 goals.
- After a reevaluation, 26 goals were deducted from the player, so the player had 462 - 26 = 436 goals.

Therefore, the player ends up with 436 goals.

### Answer: 436

Expected answer: 436

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of fish in the aquarium initially, and then subtract the number of fish that were relocated.

Given information:
- The aquarium has 9 tanks.
- Each tank has 49 fish.
- 5 fish from one tank were relocated.

Step 1: Find the total number of fish in the aquarium initially.
Total number of fish initially = Number of tanks × Number of fish per tank
Total number of fish initially = 9 × 49 = 441 fish

Step 2: Subtract the number of fish that were relocated.
New total number of fish = Total number of fish initially - Number of fish relocated
New total number of fish = 441 - 5 = 436 fish

Therefore, the new total number of fish in the aquarium after relocating 5 fish from one tank is 436 fish.

### Answer: 436

Expected answer: 436

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cards Jeremy has after discarding and gaining cards.

Given information:
- Jeremy initially has 14 cards.
- Jeremy discards 19 cards.
- Jeremy gains 32 more cards from the deck.

Step 1: Find the number of cards Jeremy has after discarding 19 cards.
Number of cards after discarding = Initial number of cards - Number of cards discarded
Number of cards after discarding = 14 - 19 = -5

Note: The negative value indicates that Jeremy has discarded more cards than he initially had.

Step 2: Find the number of cards Jeremy has after gaining 32 more cards.
Number of cards after gaining = Number of cards after discarding + Number of cards gained
Number of cards after gaining = -5 + 32 = 27

Therefore, Jeremy now has 27 cards.

### Answer: 27

Expected answer: 27

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate of ticks per minute for each clock, manipulate the rates as per the given instructions, and then find the difference between the manipulated rates.

Given information:
- The first clock ticks 504 times in 42 minutes.
- The second clock ticks 279 times in 31 minutes.

Step 1: Find the rate of ticks per minute for the first clock.
Rate of ticks per minute for the first clock = Total ticks / Total minutes
Rate of ticks per minute for the first clock = 504 / 42
Rate of ticks per minute for the first clock = 12 ticks per minute

Step 2: Find the rate of ticks per minute for the second clock.
Rate of ticks per minute for the second clock = Total ticks / Total minutes
Rate of ticks per minute for the second clock = 279 / 31
Rate of ticks per minute for the second clock = 9 ticks per minute

Step 3: Add 34 to the rate of the second clock's ticks per minute.
Rate of the second clock's ticks per minute after adding 34 = 9 + 34 = 43 ticks per minute

Step 4: Multiply the first clock's ticks per minute by 35 and then subtract 41 from it.
Manipulated rate of the first clock's ticks per minute = (12 × 35) - 41
Manipulated rate of the first clock's ticks per minute = 420 - 41
Manipulated rate of the first clock's ticks per minute = 379 ticks per minute

Step 5: Subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock.
Final value = Manipulated rate of the first clock's ticks per minute - Rate of the second clock's ticks per minute after adding 34
Final value = 379 - 43
Final value = 336

Therefore, the final value after subtracting the rate of the second clock (after adding 34) from the manipulated rate of the first clock is 336.

### Answer: 336

Expected answer: 336

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rainfall on Thursday by subtracting the decreases in rainfall from the initial rainfall on Tuesday.

Given information:
- On Tuesday, the rainfall was 39 cm.
- On Wednesday, the rainfall decreased by 6 cm.
- On Thursday, the rainfall further decreased by 31 cm.

Step 1: Find the rainfall on Wednesday.
Rainfall on Wednesday = Rainfall on Tuesday - Decrease in rainfall on Wednesday
Rainfall on Wednesday = 39 cm - 6 cm = 33 cm

Step 2: Find the rainfall on Thursday.
Rainfall on Thursday = Rainfall on Wednesday - Decrease in rainfall on Thursday
Rainfall on Thursday = 33 cm - 31 cm = 2 cm

Therefore, Nina noted a rainfall of 2 cm on Thursday.

### Answer: 2

Expected answer: 2

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the actual number of UFO sightings in the first month, and then use that information to calculate the number of reported UFO sightings in the second month.

Given information:
- In the first month, the enthusiast reported seeing 50 UFOs.
- After investigation, it was revealed that 36 of those were actually meteors.
- In the second month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised (actual) number of UFO sightings from the previous month, with an additional 5.

Step 1: Find the actual number of UFO sightings in the first month.
Reported UFO sightings in the first month - Number of meteors = Actual UFO sightings in the first month
50 - 36 = 14

Step 2: Calculate the number of reported UFO sightings in the second month.
Reported UFO sightings in the second month = 41 + Actual UFO sightings in the first month + 5
Reported UFO sightings in the second month = 41 + 14 + 5
Reported UFO sightings in the second month = 60

Therefore, the enthusiast reported seeing 60 UFOs in the second month.

### Answer: 60

Expected answer: 60

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of yarn balls the cat accumulated in the second game, and then use that information to find the number of yarn balls she ended up with after the third game.

Given information:
- In the first game, the cat accumulated 5 yarn balls.
- In the second game, she got as many balls as the square of what she obtained in the first game plus 8 more.
- In the third game, she lost some balls, and ended up with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game.

Step 1: Find the number of yarn balls the cat accumulated in the second game.
Number of balls in the second game = (Number of balls in the first game)^2 + 8
Number of balls in the second game = 5^2 + 8
Number of balls in the second game = 25 + 8
Number of balls in the second game = 33

Step 2: Find the number of yarn balls the cat ended up with after the third game.
Number of balls after the third game = 25 × (45 - Number of balls in the second game)
Number of balls after the third game = 25 × (45 - 33)
Number of balls after the third game = 25 × 12
Number of balls after the third game = 300

Therefore, the cat has 300 yarn balls now.

### Answer: 300

Expected answer: 300

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of tennis balls initially in the basket, and then calculate the total number of balls after adding the ping pong balls and basketballs.

Given information:
- The basket initially contains 41 balls.
- After removing 16 balls, the remaining balls are cricket balls.
- 9 ping pong balls and 21 basketballs are added to the basket.

Step 1: Find the number of tennis balls initially in the basket.
Total balls initially = Tennis balls + Cricket balls
41 = Tennis balls + (41 - 16)
41 = Tennis balls + 25
Tennis balls = 41 - 25
Tennis balls = 16

Step 2: Calculate the total number of balls after adding the ping pong balls and basketballs.
Total balls after adding = Tennis balls + Cricket balls + Ping pong balls + Basketballs
Total balls after adding = 16 + 25 + 9 + 21
Total balls after adding = 71

Therefore, after adding 9 ping pong balls and 21 basketballs to the basket, the total number of balls in the basket is 71.

### Answer: 71

Expected answer: 55

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to follow the steps given and perform the calculations.

Given information:
- Your friend wants to represent 37 hours on the clock's face, with each hour represented by 1 square.
- They have already completed 32 squares.
- They want to add 25 squares for representing minutes.
- They want to add another 28 squares for representing seconds.

Step 1: Calculate the number of squares needed for hours.
Squares needed for hours = 37 - 32 = 5
Your friend added 42 to this result and then subtracted 37.
(5 + 42) - 37 = 10

Step 2: Calculate the number of squares needed for minutes and seconds.
Squares needed for minutes = 25
Squares needed for seconds = 28
Total squares needed for minutes and seconds = 25 + 28 = 53
Your friend added 41 to 25, followed by 28, and then added 17 to the result.
(41 + 25 + 28) + 17 = 111

Step 3: Reduce the total number of squares by 23.
111 - 23 = 88

Step 4: Add the number of squares needed for hours to the reduced number.
Total squares needed = 88 + 10 = 98

Therefore, your friend would need a total of 98 squares to complete their quirky clock.

### Answer: 98

Expected answer: 98

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total production of oranges during the harvest period, including the rare orange variant.

Given information:
- The farm typically produces 28 pounds of oranges in a single day.
- Due to a new method, the production was 2 times the typical production.
- The harvest period lasted for 15 days.
- The farm added 16 pounds of a rare orange variant to the harvest.

Step 1: Find the daily production with the new method.
Daily production with the new method = 2 × 28 pounds = 56 pounds

Step 2: Find the total production during the harvest period without the rare orange variant.
Total production during the harvest period = Daily production with the new method × Number of days in the harvest period
Total production during the harvest period = 56 pounds × 15 days = 840 pounds

Step 3: Add the rare orange variant to the total production.
Total production including the rare orange variant = Total production during the harvest period + Weight of the rare orange variant
Total production including the rare orange variant = 840 pounds + 16 pounds = 856 pounds

Therefore, the farm produced a total of 856 pounds of oranges, including the rare orange variant, during the harvest period.

### Answer: 856

Expected answer: 856

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of passengers remaining on the bus after the second stop, calculate the total fare collected from them, and then subtract the service fee from the total fare.

Given information:
- The bus initially has 37 passengers.
- At the next stop, 20 more passengers get on.
- Before the next stop, 44 passengers get off.
- Each remaining passenger pays an $11 fare.
- The bus company deducts a $14 service fee from the total fare.

Step 1: Find the number of passengers remaining on the bus after the second stop.
Number of passengers after the first stop = 37 + 20 = 57
Number of passengers remaining after the second stop = 57 - 44 = 13

Step 2: Calculate the total fare collected from the remaining passengers.
Total fare collected = Number of remaining passengers × Fare per passenger
Total fare collected = 13 × $11 = $143

Step 3: Calculate the revenue for the bus company by subtracting the service fee from the total fare.
Revenue for the bus company = Total fare collected - Service fee
Revenue for the bus company = $143 - $14 = $129

### Answer: $129

Expected answer: 129

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of gems the pirate had initially and then subtract the number of gems he gave away to his crewmates.

Given information:
- The pirate found 13 emeralds, 42 rubies, and 19 sapphires in the treasure chest.
- The pirate gave away 43 gems to his crewmates.

Step 1: Find the total number of gems the pirate had initially.
Total gems = Number of emeralds + Number of rubies + Number of sapphires
Total gems = 13 + 42 + 19
Total gems = 74

Step 2: Find the number of gems the pirate had left after giving away 43 gems.
Gems left = Total gems - Gems given away
Gems left = 74 - 43
Gems left = 31

Therefore, the pirate had 31 gems left after giving away 43 gems to his crewmates.

### Answer: 31

Expected answer: 31

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of ginger giraffes, golden giraffes, and greyish giraffes, and then add them together.

Given information:
- The reserve initially had 16 ginger giraffes.
- They brought in the same number of golden giraffes as they had ginger giraffes.
- They added another group of 46 greyish giraffes.

Step 1: Find the number of golden giraffes.
Number of golden giraffes = Number of ginger giraffes = 16

Step 2: Find the total number of giraffes in the reserve.
Total number of giraffes = Number of ginger giraffes + Number of golden giraffes + Number of greyish giraffes
Total number of giraffes = 16 + 16 + 46
Total number of giraffes = 78

Therefore, the total number of giraffes in the reserve now is 78.

### Answer: 78

Expected answer: 78

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance the turtle swam initially and then subtract the overcalculated amount.

Given information:
- The turtle swam a distance equal to (11 + 10) × 16 leagues.
- The turtle overcalculated the distance by 41 leagues.

Step 1: Find the total distance the turtle swam initially.
Total distance = (11 + 10) × 16
Total distance = 21 × 16
Total distance = 336 leagues

Step 2: Subtract the overcalculated amount from the initial total distance.
Real distance = Total distance - Overcalculated amount
Real distance = 336 - 41
Real distance = 295 leagues

Therefore, the real distance the turtle swam that week is 295 leagues.

### Answer: 295

Expected answer: 295

Correct? Yes