Common Core Standard 4.OA.A.3
This standard covers the following:
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be Interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
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 Haiku:
Okay, let's break this down step-by-step: * Each verse has 162 words * Each verse is divided into 18 lines * This means there are 162 / 18 = 9 words per line * The songwriter then adds a 34-word refrain to each line To find the total number of words per line, we add the original 9 words per line to the 34-word refrain: * 9 words per line + 34 word refrain = 43 words per line ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Following from the previous problem, the songwriter then decides to add an extra refrain to the end of each verse. If the refrain has 39 words, determine how many words are in each line after this final addition.
Claude-3 Haiku:
Okay, let's break this down step-by-step: * Originally, each verse had 162 words * The verse was divided into 18 lines, so there were 9 words per line * A 34-word refrain was added to each line * So the total words per line was 9 + 34 = 43 words per line Now, the songwriter decides to add an extra 39-word refrain to the end of each verse. To calculate the new total words per line: * Original words per line: 9 * First refrain added: 34 * Second refrain added: 39 * Total words per line: 9 + 34 + 39 = 82 words per line ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: In the previous problem, the songwriter added 34 words as the refrain to each line in his song. However, what if he had decided to keep the refrain a bit shorter and added only 28 words to each line instead? How many words would each line of the song contain in that case?
Claude-3 Haiku:
Okay, let's work this out step-by-step: * Each verse has 162 words * Each verse is divided into 18 lines * This means there are 162 / 18 = 9 words per line * The songwriter then adds a 28-word refrain to each line To find the total number of words per line, we add the original 9 words per line to the 28-word refrain: * 9 words per line + 28 word refrain = 37 words per line ### Answer: 37
Expected answer: 37
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 sheβd left at her base camp, which were 20 adults and 14 chicks. How many penguins did she count in total?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1. The biologist initially counted 35 penguins on a small ice floe. 2. In another part of the Antarctic, she counted 598 penguins divided evenly among 26 ice floes. This means there were 598/26 = 23 penguins per ice floe. 3. When she returned to the first place, the penguin population had increased by 49, so the new total was 35 + 49 = 84 penguins. 4. She decided to take 33 more penguins into account, so the new total was 84 + 33 = 117 penguins. 5. However, she realized she had overestimated and had to subtract 10, so the new total was 117 - 10 = 107 penguins. 6. Finally, she added the 20 adult penguins and 14 chicks from her base camp, so the final total was 107 + 20 + 14 = 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 Haiku:
Okay, let's break this down step-by-step: 1. The first jungle gym has a total of 27 steps. 2. The top 19 steps are blue. 3. The remaining 8 steps (27 - 19 = 8) and another 19 steps are red. 4. So the total number of red steps is 8 + 19 = 27. 5. The second jungle gym has 34 green steps. Now, we can calculate the total number of colored steps on the two jungle gyms: * Blue steps: 19 * Red steps: 27 * Green steps: 34 * Total colored steps: 19 + 27 + 34 = 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 Haiku:
Okay, let's break this down step-by-step: 1. The average cloud typically releases 775 millimeters of rainfall over the course of 31 hours. * Average rainfall per hour = 775 / 31 = 25 millimeters per hour 2. Subtract 22 from the average rainfall of the typical cloud per hour: * 25 - 22 = 3 millimeters per hour 3. Multiply this by 23: * 3 x 23 = 69 millimeters 4. Add the constant cloud factor of 42: * 69 + 42 = 111 millimeters 5. Add this new result to the hourly rainfall of the initial cloud: * 47 + 111 = 158 millimeters 6. Subtract 2 from the result: * 158 - 2 = 156 millimeters ### Answer: 156 millimeters
Expected answer: 156
Correct? Yes
Problem: Now consider a different scenario where the initial cloud releases less rainfall, specifically 15 millimeters per hour over a one hour period. Keeping the other conditions from the previous problem the same (the average cloud releases 775 millimeters of rainfall over the course of 31 hours, 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, and subtract 2 from the last result), how much rainfall would be produced in this scenario?
Claude-3 Haiku:
Okay, let's work through this new scenario step-by-step: 1. The initial cloud releases 15 millimeters of rainfall per hour over a one hour period. 2. The average cloud typically releases 775 millimeters of rainfall over the course of 31 hours. * Average rainfall per hour = 775 / 31 = 25 millimeters per hour 3. Subtract 22 from the average rainfall of the typical cloud per hour: * 25 - 22 = 3 millimeters per hour 4. Multiply this by 23: * 3 x 23 = 69 millimeters 5. Add the constant cloud factor of 42: * 69 + 42 = 111 millimeters 6. Add this new result to the hourly rainfall of the initial cloud: * 15 + 111 = 126 millimeters 7. Subtract 2 from the result: * 126 - 2 = 124 millimeters ### Answer: 124 millimeters
Expected answer: 124
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 Haiku:
Okay, let's break this down step-by-step: * Nadia practiced for 45 minutes in the morning * She then practiced for another 35 minutes in the afternoon * She then practiced for another 35 minutes in the evening To find the total time Nadia practiced the piano that day, we need to add up all the individual practice times: * 45 minutes + 35 minutes + 35 minutes = 115 minutes ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: Reflecting upon her previous practice sessions, Nadia thought she could do more. She decided to adjust her morning practice time from 45 minutes to 26 minutes. Still maintaining her afternoon and evening sessions at 35 minutes each, how many minutes in total would Nadia be practicing for the day with this adjustment?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * Nadia's original practice times: - Morning: 45 minutes - Afternoon: 35 minutes - Evening: 35 minutes * Total original practice time: 45 + 35 + 35 = 115 minutes * Nadia's adjusted practice times: - Morning: 26 minutes - Afternoon: 35 minutes - Evening: 35 minutes * Total adjusted practice time: 26 + 35 + 35 = 96 minutes ### Answer: 96
Expected answer: 96
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 Haiku:
Okay, let's break this down step-by-step: 1) The original price of a dress is $44. 2) During the flash sale, the price is reduced by a factor of 465 divided by 31. 3) To calculate the new price, we take the original price ($44) and divide it by the factor of 465/31. 4) 465/31 = 15 5) $44 divided by 15 = $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 Haiku:
Okay, let's break this down step-by-step: 1. On Monday, the rope maker made 46 meters of rope. 2. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. * So, on Tuesday he made 46 + 19 = 65 meters of rope. 3. By Wednesday, 9 meters of the rope had been damaged and was unusable. * So, the total amount of usable rope after Wednesday is: * Monday's 46 meters + Tuesday's 65 meters - 9 meters of damaged rope * = 46 + 65 - 9 * = 102 meters ### Answer: 102 meters
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 Haiku:
Okay, let's break this down step-by-step: 1. Juliana bought 16 pairs of vintage earrings, and each pair costs $2. * Total cost of the earrings: 16 pairs x $2 per pair = $32 2. Juliana also bought a special jewelry box that costs $25. * Total cost of the jewelry box: $25 3. Juliana paid $48 for the gift wrapping service. * Total cost of the gift wrapping: $48 4. To calculate the total amount Juliana spent, we add up the costs of the earrings, jewelry box, and gift wrapping: * Total amount spent = $32 + $25 + $48 = $105 ### 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 Haiku:
Okay, let's break this down step-by-step: 1) Emma has 60 beads. 2) She divides them equally among 3 friends. 3) To find how many beads each friend gets, we divide 60 by 3: 60 Γ· 3 = 20 beads per friend. 4) Emma then adds 4 more beads to each friend's pile. 5) So each friend now has 20 + 4 = 24 beads. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After distributing the beads among her friends, Emma realizes that she actually wanted to divide her 60 beads evenly among 28 friends instead of 3. She recalculates and then adds 4 more beads to each friend's stack after the initial division. How many beads does each friend have now?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1) Emma originally had 60 beads. 2) She wanted to divide them evenly among 28 friends. 3) To find how many beads each friend gets initially, we divide 60 by 28: 60 Γ· 28 = 2.14 beads per friend (rounded down to 2 beads per friend). 4) After the initial division, Emma adds 4 more beads to each friend's stack. 5) So each friend now has 2 + 4 = 6 beads. ### Answer: 6
Expected answer: 43/7
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. The boy started with 37 paper straws. 2. He removed 4 straws, so he had 37 - 4 = 33 straws left. 3. He then removed another 23 straws, so he had 33 - 23 = 10 straws left. 4. He multiplied the remaining 10 straws by 45, which gives 10 * 45 = 450. 5. He then subtracted 49 from 450, which gives 450 - 49 = 401. 6. Finally, he removed 7 more straws, so he had 401 - 7 = 394 straws left. ### Answer: 394
Expected answer: 394
Correct? Yes
Problem: After reflecting on his kite design, the young boy realized he made a mistake. When he multiplied the number of remaining paper straws by 45, he should have subtracted 25, not 49. If he corrects this calculation error and takes out 7 final straws as before, how many straws does he have now for his kite?
Claude-3 Haiku:
Okay, let's rework this with the corrected calculation: 1. The boy started with 37 paper straws. 2. He removed 4 straws, so he had 37 - 4 = 33 straws left. 3. He then removed another 23 straws, so he had 33 - 23 = 10 straws left. 4. He multiplied the remaining 10 straws by 45, which gives 10 * 45 = 450. 5. He then subtracted 25 from 450, which gives 450 - 25 = 425. 6. Finally, he removed 7 more straws, so he had 425 - 7 = 418 straws left. ### Answer: 418
Expected answer: 418
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 Haiku:
Okay, let's break this down step-by-step: 1. There were 2 trips being hosted at the zoo. 2. Each trip was allowed to see 2 animals. 3. Each animal had 3 baby animals with them, so the number of animals seen per trip was multiplied by 3. 4. Each baby animal could be photographed 21 times. First, let's calculate the total number of photos that could be taken: * Each trip saw 2 animals x 3 baby animals each = 6 animals per trip * 6 animals per trip x 2 trips = 12 animals total * 12 animals x 21 photos per baby animal = 252 photos total ### Answer: 252 photos could be taken in total. Now, let's calculate the number of usable photos after the 34 spoiled photos and the additional 30 photos: * 252 photos total - 34 spoiled photos = 218 usable photos * 218 usable photos + 30 additional photos = 248 usable photos in total ### Answer: 248 usable photos in total.
Expected answer: 248
Correct? Yes
Problem: In the previous case at the zoo, imagine if each baby animal could only be photographed 16 times, instead of 21. Given the same spoiling rate of 34 photos and the additional opportunity to take 30 more photos later, how many usable photos would be available now?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. There were 2 trips being hosted at the zoo. 2. Each trip was allowed to see 2 animals. 3. Each animal had 3 baby animals with them, so the number of animals seen per trip was multiplied by 3. 4. Each baby animal could be photographed 16 times. 5. 34 photos were spoiled and unusable out of the entire batch. 6. Guests were given the opportunity to take an additional 30 photos later. First, let's calculate the total number of photos that could be taken: * Each trip saw 2 animals x 3 baby animals each = 6 animals per trip * 6 animals per trip x 2 trips = 12 animals total * 12 animals x 16 photos per baby animal = 192 photos total Now, let's calculate the number of usable photos after the 34 spoiled photos and the additional 30 photos: * 192 photos total - 34 spoiled photos = 158 usable photos * 158 usable photos + 30 additional photos = 188 usable photos in total ### Answer: 188 usable photos in total.
Expected answer: 188
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. In the first round, the learners could form a word with 47 letters. 2. They then had to remove 30 letters due to a mistake, leaving them with 47 - 30 = 17 letters. 3. They were then able to add 10 more letters to the word, making it 17 + 10 = 27 letters. 4. In the next round, they removed 3 of these letters from the updated word. So, the final number of letters in the word after the last deletion is: 27 - 3 = 24 letters. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: In the continuation of the literacy event, the learners had the opportunity to add more letters to the word after the last deletion. They decided to add 39 more letters. How many letters were in the word after this final addition?
Claude-3 Haiku:
Okay, let's continue the problem: 1. After the last deletion, the word had 24 letters. 2. The learners then decided to add 39 more letters to the word. So, the final number of letters in the word after the final addition is: 24 + 39 = 63 letters. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In revisiting the literacy event, let's consider a different scenario. When the learners formed the word with 47 letters and due to a mistake had to remove 30, instead of adding 10 letters, what if they added only 10 - 16 = -6 letters? What would the total number of letters be in the word after this change?
Claude-3 Haiku:
Okay, let's work through this new scenario step-by-step: 1. In the first round, the learners could form a word with 47 letters. 2. They then had to remove 30 letters due to a mistake, leaving them with 47 - 30 = 17 letters. 3. Instead of adding 10 letters, they added 10 - 16 = -6 letters. * This means they actually removed 6 letters, not added them. 4. So the total number of letters in the word after this change would be: * 17 - 6 = 11 letters. ### Answer: 11
Expected answer: 11
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 Haiku:
Okay, let's break this down step-by-step: 1) Tommy's initial speed is 74/37 miles per hour. 2) He then slows down by 3 mph, so his new speed is 74/37 - 3 = 71/37 miles per hour. 3) He then speeds up to his initial speed of 74/37 miles per hour again. To calculate the average speed, we need to find the total distance traveled and divide it by the total time taken. Let's assume Tommy travels for a total of 1 hour. * In the first part, he travels at 74/37 miles per hour for 1/2 hour. * In the second part, he travels at 71/37 miles per hour for 1/2 hour. * In the third part, he travels at 74/37 miles per hour for 1/2 hour. The total distance traveled is: * (74/37 * 1/2) + (71/37 * 1/2) + (74/37 * 1/2) = 37 + 35.5 + 37 = 109.5 miles The total time taken is 1 hour. Therefore, the average speed is: * 109.5 miles / 1 hour = 109.5 miles per hour ### Answer: 109.5 miles per hour
Expected answer: 1
Correct? No
Problem: Liam has 40 sets of building blocks. Each set contains 16 blocks. How many building blocks does Liam have in total?
Claude-3 Haiku:
Reasoning: Liam has 40 sets of building blocks, and each set contains 16 blocks. To find the total number of building blocks, we need to multiply the number of sets by the number of blocks in each set. 40 sets x 16 blocks per set = <<40 x 16 = 640>>640 building blocks in total. ### Answer: 640
Expected answer: 640
Correct? Yes
Problem: After counting all the building blocks, Liam decides to give away 25 to his friend. How many building blocks does Liam have left after giving some to his friend?
Claude-3 Haiku:
Reasoning: Liam originally had 640 building blocks. He then gave away 25 building blocks to his friend. To find the number of building blocks Liam has left, we need to subtract the number of blocks he gave away from the original total. 640 building blocks - 25 building blocks given away = <<640 - 25 = 615>>615 building blocks left. ### Answer: 615
Expected answer: 615
Correct? Yes
Problem: What if Liam only had 38 sets of building blocks instead of 40? How many building blocks would he have in that case?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * Liam has 38 sets of building blocks * Each set contains 16 blocks * To find the total number of building blocks, we multiply the number of sets by the number of blocks per set: * 38 sets x 16 blocks per set = <<38 x 16 = 608>>608 building blocks in total. ### Answer: 608
Expected answer: 608
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 Haiku:
Okay, let's break this down step-by-step: 1) John initially has 24 pencils. 2) He then bought more pencils, such that the number of pencils he has now is equal to the number he had before plus 7. 3) So, the number of pencils he has now is 24 + 7 = 31. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: After having a total of 31 pencils, John received a gift box with an additional 26 pencils. How many pencils does he have now?
Claude-3 Haiku:
Okay, let's work this out: 1) Initially, John had 24 pencils. 2) He then bought more pencils, so he had a total of 31 pencils. 3) After that, he received a gift box with an additional 26 pencils. To find the total number of pencils John has now, we add the 26 new pencils to the 31 he had before: 31 + 26 = 57 ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Suppose originally, John only had 2 pencils instead of 24 and then he bought more such that the number of pencils he has now is equal to the number of pencils he had plus 7. How many pencils does John have now?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1) Originally, John had 2 pencils. 2) He then bought more pencils, such that the number of pencils he has now is equal to the number he had before plus 7. 3) So, the number of pencils he has now is 2 + 7 = 9. ### Answer: 9
Expected answer: 9
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 Haiku:
Okay, let's break this down step-by-step: 1. The snowfall in City A lasts for 50 days, and it's currently 36 days in. * Remaining days of snowfall in City A = 50 - 36 = 14 days 2. In City B, there is a unique snow pattern where for every 14 days, it snows 98 inches. * Average daily snowfall in City B = 98 inches / 14 days = 7 inches per day 3. 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. * Total snowfall in City A = 14 days Γ 7 inches per day = 98 inches 4. 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. * Amount of snow removed = 7 inches 5. The amount of snow left in City A after the snow removal is: * 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 Haiku:
Okay, let's break this down step-by-step: * On the first day, the pirate found 28 rubies. * On the second day, the pirate found another haul of rubies equal to the first day's find (28) plus an additional 21 rubies. * So, the second day's haul was 28 + 21 = 49 rubies. * To find the total number of rubies the pirate has after the second day, we add the first day's find (28) and the second day's find (49): * 28 + 49 = 77 rubies. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: After the second day, the pirate continues his adventure and stumbles upon a third treasure chest containing 29 additional rubies. Unfortunately, he drops and loses 36 rubies while escaping a group of rival pirates. How many rubies does he have in total now?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * After the second day, the pirate had a total of 77 rubies. * On the third day, the pirate found an additional 29 rubies in a treasure chest. * So now the total number of rubies the pirate has is 77 + 29 = 106 rubies. * However, the pirate then dropped and lost 36 rubies while escaping the rival pirates. * To find the final total number of rubies the pirate has, we subtract the 36 lost rubies from the 106 rubies he had: * 106 - 36 = 70 rubies. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: After reflecting on his loss, the pirate remembers that, on the first day, he actually only found 6 rubies, not 28. On the second day, he still found a number of rubies equal to what he found on the first day plus an additional 21 rubies. How many rubies did the pirate have in total after the second day, taking this into account?
Claude-3 Haiku:
Okay, let's re-work this with the updated information: * On the first day, the pirate found 6 rubies. * On the second day, the pirate found a number of rubies equal to what he found on the first day (6) plus an additional 21 rubies. * So, the second day's haul was 6 + 21 = 27 rubies. * To find the total number of rubies the pirate has after the second day, we add the first day's find (6) and the second day's find (27): * 6 + 27 = 33 rubies. ### Answer: 33
Expected answer: 33
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 Haiku:
Okay, let's break this down step-by-step: * In January, there was 47 inches of snowfall. * In early February, there was an additional 7 inches of snowfall. * On February 15th, there was an additional 17 inches of snowfall. * In March, there was 48 inches of snowfall. * In early April, there was an additional 31 inches of snowfall. * By the end of April, 27 inches of snow melted. Now, let's add up the total snowfall: * January: 47 inches * Early February: 7 inches * February 15th: 17 inches * March: 48 inches * Early April: 31 inches * Total snowfall: 47 + 7 + 17 + 48 + 31 = 150 inches Now, let's subtract the 27 inches that melted by the end of April: * 150 inches - 27 inches = 123 inches ### Answer: 123 inches
Expected answer: 123
Correct? Yes
Problem: Following the same snowfall pattern, but this time if April were to receive a slightly higher snowfall, with an additional 44 inches of snowfall early on, but then 27 inches melted by the end of the month, how many inches of snow would this sum up to at the end of April now?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * In January, there was 47 inches of snowfall. * In early February, there was an additional 7 inches of snowfall. * On February 15th, there was an additional 17 inches of snowfall. * In March, there was 48 inches of snowfall. * In early April, there was an additional 44 inches of snowfall (instead of 31 inches). * By the end of April, 27 inches of snow melted. Now, let's add up the total snowfall: * January: 47 inches * Early February: 7 inches * February 15th: 17 inches * March: 48 inches * Early April: 44 inches * Total snowfall: 47 + 7 + 17 + 48 + 44 = 163 inches Now, let's subtract the 27 inches that melted by the end of April: * 163 inches - 27 inches = 136 inches ### Answer: 136 inches
Expected answer: 136
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 Haiku:
Okay, let's break this down step-by-step: * The vendor sold 46 balloons every hour for 11 hours straight * To calculate the total number of balloons sold during those 11 hours, we multiply 46 by 11: * 46 balloons per hour x 11 hours = 506 balloons * After the fair had closed, he sold an additional 31 balloons to some stragglers * To get the total number of balloons sold that day, we add the 506 balloons sold during the 11 hours and the 31 additional balloons: * 506 + 31 = 537 balloons ### 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 Haiku:
Okay, let's break this down step-by-step: 1. In the first game, Mary scored 31 points and John scored 39 points. 2. In the second game, their combined score was increased by 35 more points. - So, the combined score in the second game was 31 + 39 + 35 = 105 points. 3. During 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. - The difference between 27 and 23 is 27 - 23 = 4. - So, their final score in the special round was 105 * 4 = 420 points. ### Answer: 420
Expected answer: 420
Correct? Yes
Problem: After the special round in their card game, Mary and John discovered two extra points they hadn't accounted for earlier. After adding these extra points to their score, what was their final combined score?
Claude-3 Haiku:
Okay, let's work this out step-by-step: 1. In the special round, their score was 420 points. 2. After the special round, they discovered two extra points they hadn't accounted for earlier. 3. To find their final combined score, we need to add the two extra points to the 420 points from the special round. Final combined score = 420 + 2 = 422 points ### Answer: 422
Expected answer: 422
Correct? Yes
Problem: Given the same card game situation, suppose that in the second game, Mary and Johnβs combined score increased by 50 points instead of 35. Following the same rule in their special round, where they multiplied their score by the difference between 27 and the number of cards left in the deck (which was 23), what would their final score be in this case?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. In the first game, Mary scored 31 points and John scored 39 points. 2. In the second game, their combined score increased by 50 points. - So, the combined score in the second game was 31 + 39 + 50 = 120 points. 3. During 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. - The difference between 27 and 23 is 27 - 23 = 4. - So, their final score in the special round was 120 * 4 = 480 points. ### Answer: 480
Expected answer: 480
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 Haiku:
Okay, let's break this down step-by-step: 1. In the morning, the company manufactured: - 17 upholstered seats - 18 wooden seats - Total morning production: 17 + 18 = 35 chairs 2. In the afternoon, the company produced another 29 chairs. - Total afternoon production: 29 chairs 3. The company repeated the same production in the evening. - Total evening production: 35 + 29 = 64 chairs 4. The total number of chairs manufactured is: - Morning production: 35 chairs - Afternoon production: 29 chairs - Evening production: 64 chairs - Total chairs manufactured: 35 + 29 + 64 = 128 chairs 5. The company gave away 48 chairs to charity. - Chairs remaining: 128 - 48 = 80 chairs 6. The company used 7 chairs for quality testing. - Chairs remaining: 80 - 7 = 73 chairs ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: Continuing from the last example, suppose the furniture company only crafted 15 wooden seats in the morning instead of 18 but kept the rest of operations unchanged. After repeating the same production, donating 48 chairs to charity, and using 7 for quality testing, how many chairs will be the company left with?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. In the morning, the company manufactured: - 17 upholstered seats - 15 wooden seats - Total morning production: 17 + 15 = 32 chairs 2. In the afternoon, the company produced another 29 chairs. - Total afternoon production: 29 chairs 3. The company repeated the same production in the evening. - Total evening production: 32 + 29 = 61 chairs 4. The total number of chairs manufactured is: - Morning production: 32 chairs - Afternoon production: 29 chairs - Evening production: 61 chairs - Total chairs manufactured: 32 + 29 + 61 = 122 chairs 5. The company gave away 48 chairs to charity. - Chairs remaining: 122 - 48 = 74 chairs 6. The company used 7 chairs for quality testing. - Chairs remaining: 74 - 7 = 67 chairs ### Answer: 67
Expected answer: 67
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 Haiku:
Okay, let's break this down step-by-step: 1. The popular jungle gym has: - 46 monkey bars - 18 swinging ropes - Total play components = 46 + 18 = 64 2. The new jungle gym has: - 2 extra long zip lines - 20 regular zip lines - Total zip lines = 2 + 20 = 22 - Each zip line requires 31 special hooks - Total hooks used = 22 x 31 = 682 3. To find the difference in hooks used: - Hooks used in new jungle gym = 682 - Play components in popular jungle gym = 64 - Difference = 682 - 64 = 618 ### 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 Haiku:
Okay, let's break this down step-by-step: 1. John has saved $168 and decides to divide it evenly between 21 days. * $168 / 21 days = $8 per day 2. John then gets an additional $47 from his job. * $8 per day x 21 days = $168 * $168 + $47 = $215 3. John then receives another amount of money which is the sum of $12 and $45. * $12 + $45 = $57 4. The total amount of money John has now is: * $215 + $57 = $272 ### Answer: $272
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 Haiku:
Okay, let's break this down step-by-step: * The robot can stack 32 boxes in 1 minute * The robot works non-stop for 4 minutes * In 4 minutes, the robot can stack: * 32 boxes per minute x 4 minutes = 128 boxes * The robot then picks up 1 extra box * So the total number of boxes stacked is: * 128 boxes + 1 extra box = 129 boxes ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: After stacking boxes for 4 minutes, the robot takes a break. When it comes back, it accidentally knocks over 21 of the boxes. How many boxes remain stacked after the robot knocks some over?
Claude-3 Haiku:
Okay, let's go through this step-by-step: * The robot stacked 129 boxes in total after working for 4 minutes and picking up 1 extra box * After taking a break, the robot accidentally knocks over 21 of the boxes * To find the number of boxes that remain stacked, we take the total boxes stacked (129) and subtract the number of boxes knocked over (21) * 129 boxes - 21 boxes knocked over = 108 boxes remain stacked ### Answer: 108
Expected answer: 108
Correct? Yes
Problem: Let's consider a different scenario: If, instead of picking up an extra single box after 4 minutes, the robot picked up an extra 11 boxes, how many boxes would this robot have stacked in total?
Claude-3 Haiku:
Okay, let's work through this step-by-step: * The robot can stack 32 boxes in 1 minute * The robot works non-stop for 4 minutes * In 4 minutes, the robot can stack: * 32 boxes per minute x 4 minutes = 128 boxes * The robot then picks up an extra 11 boxes * So the total number of boxes stacked is: * 128 boxes + 11 extra boxes = 139 boxes ### Answer: 139
Expected answer: 139
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 Haiku:
Okay, let's break this down step-by-step: 1. The female tiger gave birth to 26 cubs in her lifetime. 2. 17 of the cubs did not survive the harsh conditions of the wild. 3. That means 26 - 17 = 9 cubs survived. 4. After growing up, 6 of the surviving tigers moved to other territories. 5. So the number of tigers that remained in the female tiger's territory is 9 - 6 = 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Suppose that originally the female tiger had given birth to 24 cubs instead of 26 in her lifetime, and the same number of 17 cubs had not survived the harsh conditions of the wild. If the same number of surviving tigers, 6, moved to other territories, how many tigers would have remained in the female tiger's territory?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. Originally, the female tiger gave birth to 24 cubs in her lifetime. 2. 17 of the 24 cubs did not survive the harsh conditions of the wild. 3. That means 24 - 17 = 7 cubs survived. 4. After growing up, 6 of the surviving tigers moved to other territories. 5. So the number of tigers that remained in the female tiger's territory is 7 - 6 = 1. ### Answer: 1
Expected answer: 1
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 Haiku:
Okay, let's break this down step-by-step: 1. The colony originally started with 44 members. 2. Then, 39 new penguins joined the colony. * So the total number of penguins is now 44 + 39 = 83. 3. Later, 16 penguins left to start a new colony. * So the total number of penguins is now 83 - 16 = 67. 4. To replace the loss, another group of 35 penguins joined the colony. * So the total number of penguins is now 67 + 35 = 102. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: In the same penguin colony, they started off with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. This time, to supplant the loss, another group of 12 penguins join the colony, instead of 35. How many penguins are in the colony now?
Claude-3 Haiku:
Okay, let's go through this step-by-step again: 1. The colony originally started with 44 members. 2. Then, 39 new penguins joined the colony. * So the total number of penguins is now 44 + 39 = 83. 3. Later, 16 penguins left to start a new colony. * So the total number of penguins is now 83 - 16 = 67. 4. This time, a group of 12 penguins joined the colony to replace the loss. * So the total number of penguins is now 67 + 12 = 79. ### Answer: 79
Expected answer: 79
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 Haiku:
Okay, let's break this down step-by-step: * The helicopter initially travels 10 miles in 1 minute * The helicopter then increases its speed by 40 miles * The helicopter then increases its speed by another 20 miles * So the total increase in speed is 40 + 20 = 60 miles * The new speed of the helicopter is 10 + 60 = 70 miles per minute * The helicopter travels for 12 minutes at this increased speed of 70 miles per minute To calculate the total distance traveled in 12 minutes: * Distance = Speed x Time * Distance = 70 miles/minute x 12 minutes * Distance = 840 miles ### Answer: 840 miles
Expected answer: 840
Correct? Yes
Problem: After re-evaluating its performance, the helicopter realized that its actual speed increase was lesser than initially thought. Instead of the initial 40 miles speed increase, the increase was just 2 miles. Given that the original speed of 10 miles and an additional bonus speed of 20 miles remained the same, how far will the helicopter be able to travel in 12 minutes at this revised speed?
Claude-3 Haiku:
Okay, let's work through this step-by-step: * The original speed of the helicopter was 10 miles per minute * The helicopter then increased its speed by 2 miles (not 40 miles as initially thought) * The helicopter also had an additional bonus speed increase of 20 miles * So the new total speed of the helicopter is: - Original speed: 10 miles/minute - Speed increase: 2 miles/minute - Bonus speed increase: 20 miles/minute - Total new speed: 10 + 2 + 20 = 32 miles/minute * The helicopter travels for 12 minutes at this new speed of 32 miles/minute To calculate the total distance traveled in 12 minutes: * Distance = Speed x Time * Distance = 32 miles/minute x 12 minutes * Distance = 384 miles ### Answer: 384 miles
Expected answer: 384
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 Haiku:
Reasoning: The existing telescope has a magnification power of 26. The required magnification power for the new telescope is 41. To find the difference in magnification power, we subtract the existing magnification power from the required magnification power. 41 - 26 = 15 Therefore, the new telescope requires 15 more magnification power compared to the existing one. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: The Space Institute realized that the initial magnification power of the existing telescope was actually 16, not 26 as previously thought. If they still want to reach a magnification strength of 41, how much more magnification is now needed compared to the existing telescope?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The existing telescope has a magnification power of 16 * The required magnification power for the new telescope is 41 * To find the difference in magnification power, we subtract the existing magnification power from the required magnification power: * 41 - 16 = 25 ### Answer: 25
Expected answer: 25
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 Haiku:
Okay, let's break this down step-by-step: 1. Sophie worked 2 hours at the family business, earning $18 per hour. So her earnings for Monday were: 2 hours x $18 per hour = $36 2. She then spent $4 on an ice cream and $4 on a coffee, so her total expenses were $8. $36 (earnings) - $8 (expenses) = $28 leftover from Monday 3. She then worked 1 additional hour at the family business, earning another $18. $28 (leftover from Monday) + $18 (new earnings) = $46 total 4. Finally, her grandmother gave her an additional $45 as a bonus. $46 (total so far) + $45 (bonus) = $91 total ### Answer: $91
Expected answer: 91
Correct? Yes
Problem: In the same scenario, imagine if Sophie's parents now give her $5 for every hour she works at the family business instead of $18. She still works for two hours on Monday, spends the same amount on ice cream and coffee, works an additional hour, and receives the same $45 bonus from her grandmother. How much money does Sophie have in total now?
Claude-3 Haiku:
Okay, let's work through this new scenario step-by-step: 1. Sophie worked 2 hours at the family business, earning $5 per hour. So her earnings for Monday were: 2 hours x $5 per hour = $10 2. She then spent $4 on an ice cream and $4 on a coffee, so her total expenses were $8. $10 (earnings) - $8 (expenses) = $2 leftover from Monday 3. She then worked 1 additional hour at the family business, earning another $5. $2 (leftover from Monday) + $5 (new earnings) = $7 total 4. Finally, her grandmother gave her an additional $45 as a bonus. $7 (total so far) + $45 (bonus) = $52 total ### Answer: $52
Expected answer: 52
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. Initial production: - 30 beach towels - 6 hand towels - Total initial towels = 30 + 6 = 36 towels 2. Charity giveaway: - 7 towels given away - Remaining towels = 36 - 7 = 29 towels 3. Second batch of production: - 14 more towels produced - Total towels = 29 + 14 = 43 towels 4. Special premium collection: - 13 towels made for every towel left after charity (29 towels) - 13 x 29 = 377 towels in special premium collection - 19 towels deducted from premium collection - Remaining premium collection = 377 - 19 = 358 towels - 20 towels damaged and removed from premium collection - Remaining premium collection = 358 - 20 = 338 towels - 3 more towels deducted from premium collection - Final premium collection = 338 - 3 = 335 towels 5. Final total: - Total towels = 43 + 335 = 378 towels ### 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 Haiku:
Okay, let's break this down step-by-step: 1. The extraterrestrial being from Zorkon has 50 special energy crystals. 2. They will get 20 more energy crystals in a few earth days. 3. Their zorbcraft has a hidden compartment that contains 50 energy crystals and 6 extra lumino-gems. 4. They plan to add the upcoming 20 energy crystals to this compartment as well. Now, let's calculate the total number of items (energy crystals and lumino-gems) that will be in the zorbcraft's compartment: * Initial energy crystals in the compartment: 50 * Additional energy crystals to be added: 20 * Total energy crystals in the compartment: 50 + 20 = 70 * Lumino-gems in the compartment: 6 * Total items in the compartment: 70 energy crystals + 6 lumino-gems = 76 ### 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 Haiku:
Okay, let's break this down step-by-step: 1. The park initially had 43 Velociraptors. 2. The park then added another set of dinosaurs, which numbered 972. 3. Each of these new sections contained 27 dinosaurs. 4. This meant the actual number of new dinosaur types added was less than 972. 5. After calculating the new dinosaur types, they found that the number of Velociraptors was more. 6. They found the difference and multiplied this difference by 7, as each of the Velociraptors laid 7 new eggs that week. To find the total number of eggs laid by the Velociraptors that week, we need to: 1. Calculate the actual number of new dinosaur types added. 2. Find the difference between the initial number of Velociraptors and the new number. 3. Multiply this difference by 7 to get the total number of eggs laid. Step 1: Calculating the actual number of new dinosaur types added. Total new dinosaurs added = 972 Number of dinosaurs in each new section = 27 Number of new sections = 972 / 27 = 36 Therefore, the actual number of new dinosaur types added = 36 Step 2: Finding the difference between the initial number of Velociraptors and the new number. Initial number of Velociraptors = 43 New number of Velociraptors = 43 + 36 = 79 Difference = 79 - 43 = 36 Step 3: Multiplying the difference by 7 to get the total number of eggs laid. Total eggs laid = 36 Γ 7 = 252 ### Answer: 252
Expected answer: 49
Correct? No
Problem: There is a bowl containing 46 oranges. After Maria took 16 oranges from that bowl, how many oranges are left?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The bowl originally contained 46 oranges * Maria took 16 oranges from the bowl * To find the number of oranges left, we need to subtract the number of oranges taken from the original number of oranges 46 oranges - 16 oranges = 30 oranges ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Initially, Maria believed the bowl contained 46 oranges, but soon she realized her mistake and found out there were actually 49 in total. With this new information, after taking out 16 oranges, how many are left now in the bowl?
Claude-3 Haiku:
Okay, let's solve this with the new information: * The bowl originally contained 49 oranges * Maria took 16 oranges from the bowl * To find the number of oranges left, we need to subtract the number of oranges taken from the original number of oranges 49 oranges - 16 oranges = 33 oranges ### Answer: 33
Expected answer: 33
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 Haiku:
Okay, let's break this down step-by-step: 1. At the start of the morning shift, the factory produces 37 toothbrushes per minute. 2. Later, the factory increases its production rate to 308 toothbrushes every 7 minutes. 3. The increased production rate continues for 16 minutes. First, let's calculate how many toothbrushes were produced in the initial 37 toothbrushes per minute rate: * 37 toothbrushes per minute x 16 minutes = 592 toothbrushes Now, let's calculate how many toothbrushes were produced at the increased rate of 308 toothbrushes every 7 minutes: * 308 toothbrushes every 7 minutes * 16 minutes / 7 minutes per cycle = 2.29 cycles * 2.29 cycles x 308 toothbrushes per cycle = 704 toothbrushes Finally, we add the two amounts together to get the total: * 592 toothbrushes + 704 toothbrushes = 1,296 toothbrushes ### Answer: 1,296
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 Haiku:
Okay, let's break this down step-by-step: * Initially, the research laboratory had 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 received the same number of telescopes as they had initially, which is 39. * In the sixth month, they received 19 more telescopes. Now, let's calculate the total number of telescopes the research laboratory has at the end of the sixth month: * Initial number of telescopes: 39 * First month: 39 + 7 = 46 * Second month: 46 + 17 = 63 * Third month: 63 + 12 = 75 * Fourth month: 75 + 18 = 93 * Fifth month: 93 + 39 = 132 * Sixth month: 132 + 19 = 151 ### Answer: 151
Expected answer: 151
Correct? Yes
Problem: After reviewing the inventory, the management of the research laboratory discovered that instead of adding 12 new telescopes in the third month, they had actually added 29 telescopes. How would this affect the total count of telescopes at the end of the sixth month, before any old models were decommissioned?
Claude-3 Haiku:
Okay, let's recalculate the total number of telescopes at the end of the sixth month with the corrected information. * Initially, the research laboratory had 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 29 more telescopes (instead of 12). * In the fourth month, they added 18 more telescopes. * In the fifth month, they received the same number of telescopes as they had initially, which is 39. * In the sixth month, they received 19 more telescopes. Now, let's calculate the total number of telescopes the research laboratory has at the end of the sixth month: * Initial number of telescopes: 39 * First month: 39 + 7 = 46 * Second month: 46 + 17 = 63 * Third month: 63 + 29 = 92 * Fourth month: 92 + 18 = 110 * Fifth month: 110 + 39 = 149 * Sixth month: 149 + 19 = 168 ### Answer: 168
Expected answer: 168
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 Haiku:
Okay, let's break this down step-by-step: 1. Initially, the table was set with 20 forks and 23 knives, for a total of 43 utensils. 2. Later, 28 more sets of cutlery were added, each set containing 26 utensils. So, the total number of additional utensils added was 28 * 26 = 728. 3. After counting, they found 7 more utensils than expected. So, the total number of utensils on the table was 43 + 728 + 7 = 778. 4. However, they found 46 missing utensils, and they had to remove the original set of 20 forks and 23 knives. 5. So, the final number of utensils left on the table is 778 - 46 - 20 - 23 = 689. ### 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 Haiku:
Okay, let's break this down step-by-step: * The unicorn originally had 50 red roses and 36 blue roses in her garden. * During the storm, 25 blue roses were destroyed. * To find the total number of roses left, we need to subtract the 25 blue roses that were destroyed from the original number of blue roses, and then add that to the original number of red roses. Original number of red roses: 50 Original number of blue roses: 36 Blue roses destroyed: 25 Number of blue roses left: 36 - 25 = 11 Total number of roses left: 50 + 11 = 61 ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: After the storm, the magical unicorn plants 41 more pink roses in her mystical garden. How many roses does the unicorn have in her garden now?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * Originally, the unicorn had 50 red roses and 11 blue roses left after the storm, for a total of 61 roses. * The unicorn then planted 41 more pink roses. To find the total number of roses in the garden now, we add the original 61 roses to the 41 new pink roses: Total roses = 61 + 41 = 102 ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Originally, the magical unicorn had 50 red roses and 36 blue roses in her mystical garden. But if she had initially had 50 red roses and 38 blue roses instead, and still lost 25 roses in the storm, how many roses would she have left in her garden after the storm?
Claude-3 Haiku:
Okay, let's work through this step-by-step: * Originally, the unicorn had 50 red roses and 38 blue roses in her garden. * During the storm, 25 blue roses were destroyed. * To find the total number of roses left, we need to subtract the 25 blue roses that were destroyed from the original number of blue roses, and then add that to the original number of red roses. Original number of red roses: 50 Original number of blue roses: 38 Blue roses destroyed: 25 Number of blue roses left: 38 - 25 = 13 Total number of roses left: 50 + 13 = 63 ### Answer: 63
Expected answer: 63
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 Haiku:
Okay, let's break this down step-by-step: 1. The factory produces 100 bottles every hour. 2. Half of the hourly production is sent to one warehouse. So, 100/2 = 50 bottles are sent to the first warehouse. 3. At another location, triple the amount sent to the first warehouse was marked for shipping. So, 3 x 50 = 150 bottles were marked for shipping. 4. Additionally, 29 more bottles were added to this shipment. 5. So, the total number of bottles marked for shipping so far is 150 + 29 = 179 bottles. 6. By the end of the day, 28 more bottles were added to this shipment. 7. Therefore, the total number of bottles marked for shipping is 179 + 28 = 207 bottles. ### Answer: 207
Expected answer: 207
Correct? Yes
Problem: From the same factory scenario as before, reconsider the situation such that instead of adding 28 more bottles for shipment by the end of the day, they actually added 50 more bottles. How many bottles were marked for shipping in total now?
Claude-3 Haiku:
Okay, let's go through the updated scenario step-by-step: 1. The factory produces 100 bottles every hour. 2. Half of the hourly production is sent to one warehouse. So, 100/2 = 50 bottles are sent to the first warehouse. 3. At another location, triple the amount sent to the first warehouse was marked for shipping. So, 3 x 50 = 150 bottles were marked for shipping. 4. Additionally, 29 more bottles were added to this shipment. 5. So, the total number of bottles marked for shipping so far is 150 + 29 = 179 bottles. 6. By the end of the day, 50 more bottles were added to this shipment. 7. Therefore, the total number of bottles marked for shipping is 179 + 50 = 229 bottles. ### Answer: 229
Expected answer: 229
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 Haiku:
Okay, let's break this down step-by-step: Step 1: Calculate the height of the window frame. Height = (925 / 37) + 26 inches Height = 25 + 26 = 51 inches Step 2: Calculate the width of the window. Width = Height + 11 inches Width = 51 + 11 = 62 inches Step 3: Calculate the circumference of the window. Circumference = (2 Γ Width) + Height Circumference = (2 Γ 62) + 51 = 175 inches Step 4: Calculate the size of the glass required for the window. Size of the glass = Circumference - 32 inches Size of the glass = 175 - 32 = 143 inches ### Answer: 143 inches
Expected answer: 143
Correct? Yes
Problem: Suppose that there was an error in the original measurements. The height of the window frame is instead calculated as the sum of 925 divided by 37 and 16 inches, not 26 inches. Recalculating with these new measurements, what would be the size of the glass required for the window now?
Claude-3 Haiku:
Okay, let's recalculate the window size with the new height measurement. Step 1: Calculate the new height of the window frame. Height = (925 / 37) + 16 inches Height = 25 + 16 = 41 inches Step 2: Calculate the new width of the window. Width = Height + 11 inches Width = 41 + 11 = 52 inches Step 3: Calculate the new circumference of the window. Circumference = (2 Γ Width) + Height Circumference = (2 Γ 52) + 41 = 145 inches Step 4: Calculate the new size of the glass required for the window. Size of the glass = Circumference - 32 inches Size of the glass = 145 - 32 = 113 inches ### Answer: 113 inches
Expected answer: 113
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 Haiku:
Okay, let's break this down step-by-step: 1. The pirate finds 135 gold coins and divides them amongst his crew of 9 people. * Each crew member's share of the gold coins = 135 / 9 = 15 gold coins 2. The pirate then finds 323 emeralds and divides them amongst his crew of 19 people. * Each crew member's share of the emeralds = 323 / 19 = 17 emeralds 3. The pirate then multiplies the two shares to find the total share per crew member. * Total share per crew member = 15 gold coins x 17 emeralds = 255 4. However, the pirate later realizes he has overcounted the share by 14. * Corrected total share per crew member = 255 - 14 = 241 ### Answer: 241
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 Haiku:
Okay, let's break this down step-by-step: 1. The chocolatier makes small chocolate bars that weigh 176 grams each, and he divides each bar into 8 pieces. * This means each piece weighs 176 / 8 = 22 grams. 2. For the second batch of chocolates: * The recipe calls for a total of 38 grams of cocoa. * Subtracting the weight of one piece (22 grams) from the 176g bars, plus an additional 26 grams of sugar. * So the total weight of ingredients for the second batch is: * 38 grams of cocoa + (176 - 22) + 26 grams of sugar = 218 grams. 3. For the third batch of chocolates: * The recipe calls for a total of 38 grams of cocoa and 18 grams of milk. * So the total weight of ingredients for the third batch is: * 38 grams of cocoa + 18 grams of milk = 56 grams. 4. The difference in the total weight of ingredients between the second and third batch is: * 218 grams - 56 grams = 162 grams. ### Answer: 162 grams.
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 Haiku:
Okay, let's break this down step-by-step: 1. Jenny has 9 red colored pencils in her art box. 2. The number of green colored pencils she has is 38 minus the number of red colored pencils, which is 38 - 9 = 29. 3. The total number of times she used all the pencils is the product of the number of green and red pencils, which is 29 * 9 = 261. ### Answer: 261
Expected answer: 261
Correct? Yes
Problem: Following from the previous scenario, Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. Now, the total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. How many times in total did she use all her pencils?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1. From the previous scenario, we know that Jenny has 9 red colored pencils and 29 green colored pencils. 2. The number of times she used her blue colored pencils is equivalent to the sum of 31 and 16, which is 31 + 16 = 47. 3. The total number of times she used all her pencils is the sum of the times she used her blue pencils (47) and the times she used her green and red pencils (261 from the previous scenario). 4. Therefore, the total number of times she used all her pencils is 47 + 261 = 308. ### Answer: 308
Expected answer: 308
Correct? Yes
Problem: Now, instead of having only 9 red colored pencils, Jenny actually had 12 of them. She again has green colored pencils which, as before, total 38 minus the number of red colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has, just as in the previous case. Now, with this change, how many times did she use all her pencils?
Claude-3 Haiku:
Okay, let's solve this with the new information: 1. Jenny has 12 red colored pencils in her art box. 2. The number of green colored pencils she has is 38 minus the number of red colored pencils, which is 38 - 12 = 26. 3. The total number of times she used all the pencils is the product of the number of green and red pencils, which is 26 * 12 = 312. ### Answer: 312
Expected answer: 312
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 Haiku:
Okay, let's break this down step-by-step: * Each robot model has 17 transistors * Each transistor may have 16 separate connections * One of the newly manufactured robots was made with one less connection than standard * To compensate for the mistake, an extra 41 connections were added elsewhere First, let's calculate the total number of connections in a standard robot: * 17 transistors x 16 connections per transistor = 272 connections Now, for the strangely built robot: * One connection was missing, so that's 272 - 1 = 271 connections * But 41 extra connections were added elsewhere * So the total number of connections in the strangely built robot is 271 + 41 = 312 ### Answer: 312
Expected answer: 312
Correct? Yes
Problem: In the assembly line, another robot was produced similar to the first. However, this time instead of adding an additional 41 connections to compensate for the one lost, the production team decided to add only 13 additional connections. How many connections does this robot have now?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * Each robot model has 17 transistors * Each transistor may have 16 separate connections * One of the newly manufactured robots was made with one less connection than standard * To compensate for the mistake, an extra 13 connections were added elsewhere First, let's calculate the total number of connections in a standard robot: * 17 transistors x 16 connections per transistor = 272 connections Now, for the second strangely built robot: * One connection was missing, so that's 272 - 1 = 271 connections * But 13 extra connections were added elsewhere * So the total number of connections in the second strangely built robot is 271 + 13 = 284 ### Answer: 284
Expected answer: 284
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 Haiku:
Okay, let's break this down step-by-step: 1. On a busy day, there are 24 kids climbing on each of the 31 different attractions. * Total number of kids on a busy day = 24 x 31 = 744 2. On the rainy day, there were only 6 kids in total. 3. Subtracting the number of kids on the rainy day from the usual busy day: * 744 - 6 = 738 4. Further subtracting 12 (the number of squirrels scampering around): * 738 - 12 = 726 ### Answer: 726
Expected answer: 726
Correct? Yes
Problem: In the previous problem, instead of 31 attractions at the jungle gym, let's say there were only 6 attractions. So now, on a busy day, you have 24 kids at each of these 6 attractions. If that rainy day still only had 6 kids at the jungle gym in total, and there were 12 squirrels, how many kids will you have counted in total now?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. On a busy day, there are 24 kids climbing on each of the 6 different attractions. * Total number of kids on a busy day = 24 x 6 = 144 2. On the rainy day, there were only 6 kids in total. 3. Subtracting the number of kids on the rainy day from the usual busy day: * 144 - 6 = 138 4. Further subtracting 12 (the number of squirrels scampering around): * 138 - 12 = 126 ### Answer: 126
Expected answer: 126
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 Haiku:
Okay, let's break this down step-by-step: Step 1: Subtract 5 from 23 and then multiply by the number of magical chants, which is 6. 23 - 5 = 18 18 x 6 = 108 Step 2: Multiply the result from Step 1 by 7. 108 x 7 = 756 Step 3: Multiply the result from Step 2 by 1. 756 x 1 = 756 Step 4: Subtract 48 from the result of Step 3. 756 - 48 = 708 Therefore, if you follow these steps, the ring's magic will be 708. ### Answer: 708
Expected answer: 708
Correct? Yes
Problem: Imagine in the initial mystical chant, instead of subtracting 5 from 23, you subtracted 5 from just 8, then continued with the rest of the magic formula exactly the same - multiplying by the number of chants and so forth. How would this adjustment impact the final power of the ring?
Claude-3 Haiku:
Okay, let's work through this step-by-step: Step 1: Subtract 5 from 8 instead of 23. 8 - 5 = 3 Step 2: Multiply the result from Step 1 by the number of magical chants, which is 6. 3 x 6 = 18 Step 3: Multiply the result from Step 2 by 7. 18 x 7 = 126 Step 4: Multiply the result from Step 3 by 1. 126 x 1 = 126 Step 5: Subtract 48 from the result of Step 4. 126 - 48 = 78 So if you subtract 5 from 8 instead of 23 in the initial chant, and continue with the rest of the magic formula, the final power of the ring would be 78. ### Answer: 78
Expected answer: 78
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 Haiku:
Okay, let's break this down step-by-step: * The child can make 15 cookies in 1 hour * The child spends 24 hours making the cookies * To find the total number of cookies made, we need to multiply the number of cookies made per hour by the number of hours spent making the cookies Calculation: * Cookies made per hour: 15 * Hours spent making cookies: 24 * Total cookies made = 15 cookies/hour x 24 hours = <<15 x 24 = 360>>360 cookies ### Answer: 360
Expected answer: 360
Correct? Yes
Problem: If the same child decides to increase their cookie production rate and can now make 40 cookies in one hour, how many cookies are made when they spend the same amount of time (24 hours) baking?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The child can now make 40 cookies in 1 hour * The child spends 24 hours making the cookies * To find the total number of cookies made, we need to multiply the number of cookies made per hour by the number of hours spent making the cookies Calculation: * Cookies made per hour: 40 * Hours spent making cookies: 24 * Total cookies made = 40 cookies/hour x 24 hours = <<40 x 24 = 960>>960 cookies ### Answer: 960
Expected answer: 960
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 Haiku:
Okay, let's break this down step-by-step: 1. The silversmith originally had 16 silver rings in stock. 2. He then created more rings, ending up with 28 silver and 24 gold rings. 3. He subtracted the original 16 silver rings from the 28 silver rings, leaving him with 12 silver rings. 4. He then traded some rings and ended up with 21 rings less than what he had after the creation stage. So, he had 12 - 21 = -9 rings. 5. For a special order, he created 26 times the number of rings he had left, which is 26 * (-9) = -234 rings. 6. He also made 7 platinum and 47 bronze rings for another order. Now, let's add up all the rings the silversmith has: * Silver rings: 0 * Gold rings: 24 * Platinum rings: 7 * Bronze rings: 47 Total rings: 24 + 7 + 47 = 78 ### Answer: 78
Expected answer: 444
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. Each row contains 40 flowers, but only half of them grow properly. * So, each row has 40/2 = 20 flowers that grow properly. 2. There are 19 rows planted this way. * So, the total number of flowers in the rows is 19 * 20 = 380. 3. The gardener also plants 18 bulbs in one corner and 48 in another corner. * The total number of flowers in the small corners is 18 + 48 = 66. 4. The difference between the total number of flowers in the rows and the small corners is: * 380 - 66 = 314 ### Answer: 314
Expected answer: 314
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. The bird lays an average of 11 eggs per month. 2. This month, the bird laid 4 times the average, which is 4 x 11 = 44 eggs. 3. The forest welcoming committee distributed an additional 40 eggs to various nests. 4. To find the total number of eggs in the forest this month, we add the 44 eggs laid by the bird and the 40 additional eggs distributed: 44 + 40 = 84 eggs. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: After examining the ground for fallen eggs, the forest rangers found more eggs which they distributed to the nests. They found 216 eggs in total, and divided them between 18 nests, before adding them to the initial number of eggs in the forest. How many eggs are there in the forest now?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1. The forest rangers found 216 eggs in total. 2. They divided these 216 eggs between 18 nests, which means each nest received 216 / 18 = 12 eggs. 3. In the previous part, we found that there were 84 eggs in the forest. 4. Now, we need to add the 216 eggs that the rangers found and distributed to the 84 eggs that were already in the forest. 5. 84 + 216 = 300 eggs. ### Answer: 300
Expected answer: 96
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. In the first mixture, you have 41 drops of red paint. 2. You then add 13 drops of white paint and the same amount of red paint as before (41 drops). * So the first mixture now has 41 + 13 + 41 = 95 drops of paint. 3. You take a sample of 34 drops from this first mixture. 4. You then add the 34 drop sample to a new mixture. 5. Finally, you take away the same amount of the 34 drop sample that you took originally. So, the new mixture has: * The 34 drop sample added * Then the 34 drop sample taken away * Therefore, the new mixture has the same amount of paint as before the 34 drop sample was added and taken away. ### Answer: 95
Expected answer: 95
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. On Monday, the factory made 32 toy cars. 2. On Tuesday, the factory made 27 toy cars. 3. The difference between Monday and Tuesday is 32 - 27 = 5 toy cars. 4. They multiply the difference of 5 by 49 to determine their weekly goal: 5 x 49 = 245 toy cars. 5. The staff number in the factory is 12, and each staff member makes 9 toy cars a day. 6. On Monday and Tuesday, the staff made 12 x 9 = 108 toy cars per day. 7. Over the 2 days, the staff made 108 x 2 = 216 toy cars. 8. They add 45 to the total number of toy cars prepared by staff members: 216 + 45 = 261 toy cars. 9. On Friday, they prepare an additional 31 toy cars. 10. The total weekly goal and staff prepared cars is 245 + 261 = 506 toy cars. 11. Adding the 31 additional toy cars made on Friday, the total number of toy cars made in this process is 506 + 31 = 537 toy cars. ### Answer: 537
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 Haiku:
Okay, let's break this down step-by-step: * The farmer harvested 45 carrots in one day * For every carrot over 44 per day, he can earn $29 * So, the number of carrots over 44 per day is 45 - 44 = 1 * Therefore, the farmer would have earned $29 for the 1 carrot over 44 per day ### Answer: $29
Expected answer: 29
Correct? Yes
Problem: Continuing from our previous scenario, let's suppose that the market rate for extra carrots has now changed. Now, for every carrot that the farmer harvests over 44 per day, he can earn 41 dollars instead of 29. How much would his new earnings be if he still harvested 45 carrots in one day?
Claude-3 Haiku:
Okay, let's work this out step-by-step: * The farmer harvested 45 carrots in one day * For every carrot over 44 per day, he can now earn $41 * So, the number of carrots over 44 per day is 45 - 44 = 1 * Therefore, the farmer would have earned $41 for the 1 carrot over 44 per day ### Answer: $41
Expected answer: 41
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 Haiku:
Okay, let's break this down step-by-step: 1. The worker started with 26 pairs of socks. 2. 50 pairs got torn and had to be discarded. 3. The worker produced 36 more pairs to replace the torn ones. So, the total number of pairs of socks the worker had at the end is: * 26 - 50 + 36 = 12 pairs Each pair of socks is sold for $37, so the total earnings from the sock sales is: * 12 pairs x $37 per pair = $444 The worker also found a $13 bill on the floor. Therefore, the total money the worker has is: * $444 + $13 = $457 ### Answer: $457
Expected answer: 457
Correct? Yes
Problem: In the sock factory situation previously described, let's suppose that instead of selling each pair of socks for $37, they instead sold each pair for $40. How much money does the worker have in total now?
Claude-3 Haiku:
Okay, let's re-work the problem with the new information. 1. The worker started with 26 pairs of socks. 2. 50 pairs got torn and had to be discarded. 3. The worker produced 36 more pairs to replace the torn ones. So, the total number of pairs of socks the worker had at the end is: * 26 - 50 + 36 = 12 pairs Each pair of socks is now sold for $40, so the total earnings from the sock sales is: * 12 pairs x $40 per pair = $480 The worker also found a $13 bill on the floor. Therefore, the total money the worker has is: * $480 + $13 = $493 ### Answer: $493
Expected answer: 493
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 Haiku:
Okay, let's break this down step-by-step: 1. The jewelry maker starts with 38 beads to make a bracelet. 2. She then removes a number of beads equal to dividing 560 by 40. * 560 / 40 = 14 beads removed. 3. She thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. * 38 + 15 = 53 beads. 4. After adjusting the count and removing 14 beads, she has 53 - 14 = 39 beads. 5. She then adds one more bead, and then 39 more. * 39 + 1 + 39 = 79 beads. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: In the continuation of the previous story, the jewelry maker decided to make another adjustment after adding beads to her bracelet. She then removed again the same number of beads she removed earlier, equal to dividing 560 by 40. After that, she finds a small box with an additional 20 beads in it that she decides to add to the bracelet. How many beads does the jewelry maker have now on her bracelet?
Claude-3 Haiku:
Okay, let's continue the story step-by-step: 1. In the previous story, the jewelry maker had 79 beads on the bracelet. 2. She then removed the same number of beads as before, which was 14 beads (560 / 40 = 14). * 79 - 14 = 65 beads. 3. After that, she finds a small box with an additional 20 beads and decides to add them to the bracelet. * 65 + 20 = 85 beads. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: In a different scenario, suppose the jewelry maker initially had 50 beads instead of 38. She still removed a number of beads equal to 560 divided by 40. Afterwards, she realized she might have actually started with 15 more beads than she originally thought. After correcting her count and removing some beads, she added one more bead, and then 39 more beads. How many beads does the jewelry maker have now in this case?
Claude-3 Haiku:
Okay, let's work through this new scenario step-by-step: 1. The jewelry maker initially had 50 beads. 2. She removed a number of beads equal to 560 divided by 40. * 560 / 40 = 14 beads removed. 3. She then realized she might have actually started with 15 more beads than she originally thought. * 50 + 15 = 65 beads. 4. After correcting her count and removing 14 beads, she has 65 - 14 = 51 beads. 5. She then added one more bead, and then 39 more beads. * 51 + 1 + 39 = 91 beads. ### Answer: 91
Expected answer: 91
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 Haiku:
Okay, let's break this down step-by-step: 1. Initially, there are 30 sharks in the aquarium. 2. 23 sharks are then moved to a different area, leaving 30 - 23 = 7 sharks. 3. 14 additional sharks are brought in, so now there are 7 + 14 = 21 sharks. 4. 3 more sharks are moved to the other area, leaving 21 - 3 = 18 sharks. 5. The number of sharks is then multiplied by 43 for the research study. 6. Therefore, the final figure for the research is 18 * 43 = 774. ### Answer: 774
Expected answer: 774
Correct? Yes
Problem: We are back at the aquarium again! Previously, we mentioned the number of sharks being multiplied by 43 for a research study. But this time, instead of multiplying by 43, the scientists made a mistake and only multiplied it by 4. What would the new figure for the experiment be?
Claude-3 Haiku:
Okay, let's go through the steps again: 1. Initially, there were 30 sharks in the aquarium. 2. 23 sharks were moved to a different area, leaving 30 - 23 = 7 sharks. 3. 14 additional sharks were brought in, so now there were 7 + 14 = 21 sharks. 4. 3 more sharks were moved to the other area, leaving 21 - 3 = 18 sharks. 5. In the previous problem, the number of sharks (18) was multiplied by 43 for the research study. 6. But this time, the scientists made a mistake and only multiplied it by 4 instead of 43. 7. Therefore, the new figure for the experiment would be 18 * 4 = 72. ### Answer: 72
Expected answer: 72
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 Haiku:
Okay, let's break this down step-by-step: 1. In the first two rounds, you collected 150 points each round, which were then divided by 10 to determine the number of gold coins earned. * Round 1: 150 points / 10 = 15 gold coins * Round 2: 150 points / 10 = 15 gold coins * Total gold coins earned in the first two rounds = 15 + 15 = 30 gold coins 2. 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, which was 30 gold coins. 3. To find the number of emeralds and sapphires left after the third round, we need to subtract the number of emeralds and sapphires collected in the third round from the total number of emeralds and sapphires. * Emeralds collected in the third round: 28 * Sapphires collected in the third round: 14 * Total emeralds and sapphires collected in the third round: 28 + 14 = 42 ### Answer: 0 emeralds and 0 sapphires left after the third round.
Expected answer: 12
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. The train normally carries 15 containers every day. 2. On Fridays, the train carries an extra 12 containers, so it carries 15 + 12 = 27 containers. 3. The following Monday, the train carries an additional 26 containers, so it carries 15 + 26 = 41 containers. 4. On Wednesday, the load decreases by 32 containers, so the train carries 41 - 32 = 9 containers. 5. For a particular trip, the train is coupled with 2 more containers, so it carries 9 + 2 = 11 containers. 6. After it makes one stop, an additional 48 containers are loaded onto the train, so it carries 11 + 48 = 59 containers. ### Answer: 59
Expected answer: 71
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. The farmer harvested 39 lemons in the morning and 33 in the afternoon. 2. The total number of lemons harvested is 39 + 33 = 72 lemons. 3. Unfortunately, 12 lemons got spoiled by the end of the day. 4. So the number of lemons left after the spoilage is 72 - 12 = 60 lemons. 5. The next day, the farmer used 23 lemons to make lemonade. 6. The number of lemons left after making the lemonade is 60 - 23 = 37 lemons. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In our previous calculations, we found out how many lemons the farmer had left after some got spoiled and some were used to make lemonade. However, what if the farmer actually had 24 lemons get spoiled on the first day instead of 12? How many lemons would the farmer have left after making the lemonade?
Claude-3 Haiku:
Okay, let's rework this with the new information that 24 lemons got spoiled on the first day. 1. The farmer harvested 39 lemons in the morning and 33 in the afternoon, for a total of 72 lemons. 2. However, 24 lemons got spoiled by the end of the day. 3. So the number of lemons left after the spoilage is 72 - 24 = 48 lemons. 4. The next day, the farmer used 23 lemons to make lemonade. 5. The number of lemons left after making the lemonade is 48 - 23 = 25 lemons. ### Answer: 25
Expected answer: 25
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 Haiku:
Okay, let's break this down step-by-step: * 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 First, let's calculate how many nectar droplets the bee collected in total: * 33 flowers x 15 nectar droplets per flower = 495 nectar droplets collected Now, let's add the 26 nectar droplets the bee started with to the 495 nectar droplets it collected: * 26 + 495 = 521 nectar droplets ### Answer: 521
Expected answer: 521
Correct? Yes
Problem: If instead of starting with 26 nectar droplets, the bee had initially found 49 nectar droplets before it started its hour of flower visits, how many nectar droplets would the bee have after an hour of collecting nectar from 33 flowers with 15 nectar droplets each?
Claude-3 Haiku:
Okay, let's work this out step-by-step: * The bee starts with 49 nectar droplets * The bee lands on 33 flowers in an hour * The bee collects 15 nectar droplets from each flower First, let's calculate how many nectar droplets the bee collected in total: * 33 flowers x 15 nectar droplets per flower = 495 nectar droplets collected Now, let's add the 49 nectar droplets the bee started with to the 495 nectar droplets it collected: * 49 + 495 = 544 nectar droplets ### Answer: 544
Expected answer: 544
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 Haiku:
Okay, let's break this down step-by-step: 1. The company originally produced 36 marshmallow packs per hour. 2. They added an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. This means they added 350/7 = 50 extra marshmallows per hour. 3. They also added another 6 marshmallow packs to their hourly production. 4. However, due to some limitations, they ended up producing 43 less packs per hour than their goal. So, the new hourly production is: * Original production: 36 packs/hour * Extra marshmallows added: 50 packs/hour * Additional packs added: 6 packs/hour * Reduction due to limitations: -43 packs/hour Putting it all together: * New hourly production = 36 + 50 + 6 - 43 = 49 packs/hour ### Answer: 49 packs/hour
Expected answer: 49
Correct? Yes
Problem: Following the change in their production strategy, the company decides to adjust its additional marshmallow pack production from the previous estimate of 6 packs per hour. Instead, now they add an extra 4 marshmallow packs per hour to the increased daily production of 350 marshmallows distributed over 7 hours. But, they still have a limitation and end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1. The company originally produced 36 marshmallow packs per hour. 2. They added an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. This means they added 350/7 = 50 extra marshmallows per hour. 3. They now add an extra 4 marshmallow packs per hour to the increased daily production. 4. However, due to some limitations, they ended up producing 43 less packs per hour than their goal. So, the new hourly production is: * Original production: 36 packs/hour * Extra marshmallows added: 50 packs/hour * Additional packs added: 4 packs/hour * Reduction due to limitations: -43 packs/hour Putting it all together: * New hourly production = 36 + 50 + 4 - 43 = 47 packs/hour ### Answer: 47 packs/hour
Expected answer: 47
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 Haiku:
Okay, let's break this down step-by-step: 1. First wizard: - Produces 882 glimmering lights over 21 days - Average lights per day = 882 / 21 = 42 2. Second wizard: - Produces 460 glowing orbs in 20 days - Average orbs per day = 460 / 20 = 23 3. Difference in daily averages: - First wizard's daily average - Second wizard's daily average = 42 - 23 = 19 4. Magical constant 'n': - n = (42 - 23) * 23 = 19 * 23 = 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 Haiku:
Okay, let's break this down step-by-step: 1. The candy factory has 20 different flavors of candy. 2. The bestselling flavors are: - Sugar Rush: 14 base ingredients - Candy Twirl: 25 base ingredients - Jawbreaker: 16 base ingredients 3. The Special Mix combines all of these bestsellers and adds 43 extra goodies, including sprinkles and marshmallows. - Total ingredients in Special Mix = 14 + 25 + 16 + 43 = 98 ingredients 4. To create the limited edition candy, they: - Take a piece of the Special Mix (98 ingredients) - Add 7 uniquely crafted sweets - Combine this with one of each flavor from their 20 different flavored candies (excluding 19 of them) - Remove 3 experimental sweets that didn't taste quite right 5. Calculating the total components used in the limited edition candy: - Special Mix: 98 ingredients - Uniquely crafted sweets: 7 ingredients - 1 of each flavor from 20 different candies: 1 ingredient - Experimental sweets removed: 3 ingredients 6. Total components used in the limited edition candy: - 98 + 7 + 1 - 3 = 103 components ### Answer: 103
Expected answer: 103
Correct? Yes
Problem: Further consider the candy factory's process. If instead of the Jawbreaker having 16 base ingredients, it had 23 base ingredients instead, then how many different components would be used in creating the same limited edition candy as before?
Claude-3 Haiku:
Okay, let's recalculate the components with the updated information: 1. The candy factory has 20 different flavors of candy. 2. The bestselling flavors are: - Sugar Rush: 14 base ingredients - Candy Twirl: 25 base ingredients - Jawbreaker: 23 base ingredients (updated from 16) 3. The Special Mix combines all of these bestsellers and adds 43 extra goodies, including sprinkles and marshmallows. - Total ingredients in Special Mix = 14 + 25 + 23 + 43 = 105 ingredients 4. To create the limited edition candy, they: - Take a piece of the Special Mix (105 ingredients) - Add 7 uniquely crafted sweets - Combine this with one of each flavor from their 20 different flavored candies (excluding 19 of them) - Remove 3 experimental sweets that didn't taste quite right 5. Calculating the total components used in the limited edition candy: - Special Mix: 105 ingredients - Uniquely crafted sweets: 7 ingredients - 1 of each flavor from 20 different candies: 1 ingredient - Experimental sweets removed: 3 ingredients 6. Total components used in the limited edition candy: - 105 + 7 + 1 - 3 = 110 components ### Answer: 110
Expected answer: 110
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 Haiku:
Okay, let's break this down step-by-step: 1. Initially, the number of officers assigned were: - North district: 32 - South district: 33 - Downtown district: 29 2. After the operation, 21 officers were transferred from the downtown district. - Downtown district: 29 - 21 = 8 officers 3. A week later, 39 officers were added to the remaining duty force. - Total officers: 32 + 33 + 8 + 39 = 112 officers 4. Later that day, another 14 officers joined the force. - Total officers: 112 + 14 = 126 officers ### Answer: 126
Expected answer: 126
Correct? Yes
Problem: The previous problem had us determine the total number of police officers on duty under certain conditions. Now, let's imagine a slightly different scenario. Like the previous situation, there were still 32 officers assigned to the north district and 33 sent to the south. The number for the downtown district was also the same, at 29. However, this time around, only 21 officers from the total force were transferred elsewhere instead of the original scenario's subtraction. A week later, an additional 22 officers, fewer than the 39 from the original scenario, were brought in for a different assignment. That same day, another addition of 14 officers was made, just like with the initial series of events. New question: How many officers total were on duty by the end of the day in this amended scenario?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. Initial assignment of officers: - North district: 32 - South district: 33 - Downtown district: 29 - Total: 32 + 33 + 29 = 94 officers 2. After the operation, 21 officers were transferred from the total force. - Total officers remaining: 94 - 21 = 73 officers 3. A week later, 22 additional officers were brought in. - Total officers: 73 + 22 = 95 officers 4. Later that day, another 14 officers joined the force. - Total officers: 95 + 14 = 109 officers ### Answer: 109
Expected answer: 109
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 Haiku:
Okay, let's break this down step-by-step: 1. The initial distance between the Moon and the Earth was 36 million kilometers. 2. The distance then decreased by 19 million kilometers. * So the new distance is 36 - 19 = 17 million kilometers. 3. The distance then increased by 11 million kilometers. * So the final distance is 17 + 11 = 28 million kilometers. 4. The question states that the distance, in millions of kilometers, times 19 minus 27 equals a certain value. * The distance is 28 million kilometers. * 28 x (19 - 27) = 28 x (-8) = -224. * Therefore, the value is -224. ### Answer: -224
Expected answer: 505
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. The first tiger: - Average step length: 9 meters - Took 2 steps, so the distance covered by the steps is: 2 x 9 = 18 meters - Then it leaped 44 meters - Total distance covered by the first tiger: 18 + 44 = 62 meters 2. The second tiger: - Covered a distance of 23 meters - Then it leaped an unknown distance - Then it ran 46 meters - Then it retraced the distance equal to the first tiger's steps (18 meters) and the leap (unknown distance) To find the total distance covered by the second tiger, we need to add up the known distances: - 23 meters + 46 meters = 69 meters - Then it retraced 18 meters (the first tiger's steps) and the unknown leap distance - So the total distance covered by the second tiger is: 69 meters ### Answer: 69 meters
Expected answer: 7
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. On Sunday, the factory produces: - 26 tubes per hour for 7 hours = 26 * 7 = 182 tubes - Plus an additional 8 tubes = 182 + 8 = 190 tubes 2. On Monday, they add 31 more tubes to the Sunday's total: - 190 + 31 = 221 tubes 3. In the packaging department: - They have 50 empty boxes - They use 19 of them for another department - Leaving them with 50 - 19 = 31 boxes 4. The total number of toothpaste tubes ready is the sum of the packaged boxes (31) and Monday's production (221): - 31 + 221 = 252 tubes 5. On Tuesday, they produced an additional 48 tubes of toothpaste. Therefore, the total number of produced toothpaste tubes until Tuesday, inclusive, is: - 252 + 48 = 300 tubes ### Answer: 300
Expected answer: 300
Correct? Yes
Problem: In the previous scenario, the toothpaste factory was producing 26 tubes of toothpaste every hour on Sundays. Now, consider a different Sunday where they changed their production to 22 tubes every hour instead, while still working for 7 hours and producing 8 additional tubes. They continue their production on Monday by adding an additional 31 tubes. With the same scenario in the packaging department, where they started with 50 boxes and used 19 of them leaving (50 - 19) boxes. The total number of toothpaste tubes ready for packaging is calculated by adding the packaged box number with Monday's production. If they produced an additional 48 tubes on Tuesday, how many tubes of toothpaste have they produced up till Tuesday now?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1. On Sunday, the factory produces: - 22 tubes per hour for 7 hours = 22 * 7 = 154 tubes - Plus an additional 8 tubes = 154 + 8 = 162 tubes 2. On Monday, they add 31 more tubes to the Sunday's total: - 162 + 31 = 193 tubes 3. In the packaging department: - They have 50 empty boxes - They use 19 of them for another department - Leaving them with 50 - 19 = 31 boxes 4. The total number of toothpaste tubes ready is the sum of the packaged boxes (31) and Monday's production (193): - 31 + 193 = 224 tubes 5. On Tuesday, they produced an additional 48 tubes of toothpaste. Therefore, the total number of produced toothpaste tubes until Tuesday, inclusive, is: - 224 + 48 = 272 tubes ### Answer: 272
Expected answer: 272
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. The unicorn starts with 42 rainbow pebbles. 2. A day later, it finds 26 more rainbow pebbles, so now it has 42 + 26 = 68 rainbow pebbles. 3. The unicorn also has a stash of 44 dreamberries. 4. Later, the unicorn gathers 33 more rainbow pebbles and adds them to the 44 dreamberries, so now it has 68 + 33 = 101 rainbow pebbles and 44 dreamberries. 5. Finally, the unicorn finds 40 magical dandelions and adds them to its stash, but then loses 14 items. 6. So the final count is: 101 rainbow pebbles + 44 dreamberries + 40 magical dandelions - 14 lost items = 171 items. ### Answer: 171
Expected answer: 171
Correct? Yes
Problem: In the previous magical scenario, consider that instead of initially having 42 rainbow pebbles, the unicorn started with just 40. It still finds 26 more the following day. Maintaining his stash of 44 dreamberries, the unicorn still accumulates 33 more rainbow pebbles and adds them to the dreamberries. Once again, the unicorn ventures to obtain an additional 40 magical dandelions, but unfortunately, he loses 14. After these events, how many items does the unicorn have?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. The unicorn starts with 40 rainbow pebbles. 2. A day later, it finds 26 more rainbow pebbles, so now it has 40 + 26 = 66 rainbow pebbles. 3. The unicorn also has a stash of 44 dreamberries. 4. Later, the unicorn gathers 33 more rainbow pebbles and adds them to the 44 dreamberries, so now it has 66 + 33 = 99 rainbow pebbles and 44 dreamberries. 5. Finally, the unicorn finds 40 magical dandelions and adds them to its stash, but then loses 14 items. 6. So the final count is: 99 rainbow pebbles + 44 dreamberries + 40 magical dandelions - 14 lost items = 169 items. ### Answer: 169
Expected answer: 169
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. The pirate captain has a treasure chest with 23 types of jewels. 2. Each type of jewel has 28 jewels. 3. So the total number of jewels in the treasure chest initially is: 23 types x 28 jewels per type = 644 jewels 4. The pirate captain then lost 40 jewels on his way back to the ship. So the new total is 644 - 40 = 604 jewels. 5. The next day, he found 16 more jewels from a deserted island. So the final total is 604 + 16 = 620 jewels. ### Answer: 620
Expected answer: 620
Correct? Yes
Problem: Following the discovery of additional jewels, the pirate captain realized he had miscalculated the number of types of jewels in his original stash. Instead of 23 types of jewels, he remembered that he actually only had 17 types originally, with each type still containing 28 jewels. After recalculating his treasure and still taking into account the loss of 40 jewels and the 16 he found on a deserted island, how many jewels does he have now?
Claude-3 Haiku:
Okay, let's re-work this with the new information: 1. The pirate captain originally had 17 types of jewels, not 23. 2. Each type of jewel had 28 jewels. 3. So the total number of jewels in the treasure chest initially is: 17 types x 28 jewels per type = 476 jewels 4. The pirate captain then lost 40 jewels on his way back to the ship. So the new total is 476 - 40 = 436 jewels. 5. The next day, he found 16 more jewels from a deserted island. So the final total is 436 + 16 = 452 jewels. ### Answer: 452
Expected answer: 452
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 Haiku:
Okay, let's break this down step-by-step: 1. The star starts with 38 neutrons. 2. It then gains 4 more neutrons, so it now has 38 + 4 = 42 neutrons. 3. The total number of neutrons (42) is then multiplied by 18 to create the energy output. 4. So the energy output is 42 * 18 = 756. 5. During the explosion, the star releases the energy equivalent to 6 + 25. 6. So the additional energy released is 6 + 25 = 31. 7. The total energy emitted by the star is the energy output (756) plus the additional energy released (31). 8. Therefore, the total energy emitted by the star is 756 + 31 = 787. ### Answer: 787
Expected answer: 787
Correct? Yes
Problem: Now consider instead that the star had only 38 neutrons initially, and then it gains only 4 more. This total number is then multiplied by 10, for a lower energy output. During an explosion, it still releases additional energy equivalent to 6 plus 25. Now, how much total energy does the star emit?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. The star starts with 38 neutrons. 2. It then gains 4 more neutrons, so it now has 38 + 4 = 42 neutrons. 3. The total number of neutrons (42) is then multiplied by 10 to create the energy output. 4. So the energy output is 42 * 10 = 420. 5. During the explosion, the star releases the energy equivalent to 6 + 25. 6. So the additional energy released is 6 + 25 = 31. 7. The total energy emitted by the star is the energy output (420) plus the additional energy released (31). 8. Therefore, the total energy emitted by the star is 420 + 31 = 451. ### Answer: 451
Expected answer: 451
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 Haiku:
Okay, let's break this down step-by-step: 1. The gardener initially planted 13 sunflowers. 2. The next day, he calculated that he needed to plant more sunflowers. The number was calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. * 37 x 5 = 185 * 185 - 18 = 167 additional sunflowers needed 3. On the following day, he subtracted 10 flowers from the 167, then added his initial 13 sunflowers back, creating a new total. * 167 - 10 = 157 * 157 + 13 = 170 sunflowers 4. 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. * 92 orchids / 23 spots per orchid = 4 spots needed 5. 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. * Total plants: 170 sunflowers + 92 orchids = 262 plants * Total spots needed: 4 spots * Total doubled: (262 plants + 4 spots) x 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 Haiku:
Reasoning: * There are 18 frogs in the pond. * Each frog can catch 21 flies in a day. * To find the total number of flies caught by all the frogs in a day, we need to multiply the number of frogs by the number of flies each frog can catch. * 18 frogs x 21 flies per frog = 378 flies. ### Answer: 378
Expected answer: 378
Correct? Yes
Problem: Using the initial information from the previous problem where 18 frogs catch 21 flies each in a day (resulting in a total of 'j' flies), imagine the scenario where a particularly voracious toad comes by the next day and catches an additional 39 flies. How many flies have been caught in total over the two days then?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * In the previous problem, we found that 18 frogs can catch 21 flies each in a day, resulting in a total of 378 flies caught. * So the total number of flies caught on the first day is 378, which we can represent as 'j' flies. Now, on the second day: * A voracious toad comes by and catches an additional 39 flies. * So the total number of flies caught on the second day is 'j' (the 378 flies caught by the frogs) plus the 39 flies caught by the toad. To find the total number of flies caught over the two days, we add the flies caught on the first day (j) and the flies caught on the second day (j + 39): Total flies caught = j + (j + 39) = 2j + 39 ### Answer: 2j + 39
Expected answer: 417
Correct? No
Problem: Using the information from the previous problem, now consider if the number of frogs in the pond increased to 46. If each frog can still catch 21 flies in a day, how many flies do all the frogs catch in a day now?
Claude-3 Haiku:
Reasoning: * In the previous problem, there were 18 frogs in the pond, and each frog could catch 21 flies in a day. * The total number of flies caught by all the frogs in a day was 18 frogs x 21 flies per frog = 378 flies. * Now, the number of frogs in the pond has increased to 46. * Each frog can still catch 21 flies in a day. * To find the total number of flies caught by all the frogs in a day, we need to multiply the new number of frogs (46) by the number of flies each frog can catch (21). * 46 frogs x 21 flies per frog = 966 flies. ### Answer: 966
Expected answer: 966
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 Haiku:
Reasoning: The community center has 21 chairs in their main meeting room. They are supplemented with an additional 22 chairs from the storage room. To find the total number of chairs in the meeting room, we add the 21 chairs from the main meeting room and the 22 chairs from the storage room. 21 + 22 = 43 chairs in the meeting room for the event. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Now, instead of starting with 21 chairs in the main meeting room at the community center, suppose they had only 12 chairs. They still supplement with an additional 22 chairs from the storage room for the event. How many chairs are in the meeting room now for the event?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The community center originally had 12 chairs in the main meeting room * They supplemented with an additional 22 chairs from the storage room * To find the total number of chairs in the meeting room, we add the 12 chairs from the main meeting room and the 22 chairs from the storage room: * 12 + 22 = 34 chairs in the meeting room for the event ### Answer: 34
Expected answer: 34
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 Haiku:
Okay, let's break this down step-by-step: * Originally, there were 14 elephants in the conservation park. * This year, 11 new baby elephants were born. * The park also received 25 more elephants from various rescues. To calculate the total number of elephants in the park now, we need to add the original 14 elephants, the 11 new baby elephants, and the 25 elephants from the rescues. 14 + 11 + 25 = 50 ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Unfortunately, due to unfortunate circumstances, 27 elephants had to be relocated to different parks over the course of the year. How many elephants are left in the park now?
Claude-3 Haiku:
Okay, let's calculate the number of elephants left in the park after the 27 elephants were relocated: * Originally, there were 50 elephants in the park * 27 elephants had to be relocated * So, the number of elephants left in the park is: 50 - 27 = 23 ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: Suppose initially, there were 38 elephants in the conservation park instead of 14. If the park still received 11 new baby elephants and 25 more elephants from various rescues this year, how many elephants would there be in the park now?
Claude-3 Haiku:
Okay, let's work this out step-by-step: * Originally, there were 38 elephants in the conservation park. * This year, 11 new baby elephants were born. * The park also received 25 more elephants from various rescues. To calculate the total number of elephants in the park now, we need to add the original 38 elephants, the 11 new baby elephants, and the 25 elephants from the rescues. 38 + 11 + 25 = 74 ### Answer: 74
Expected answer: 74
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 Haiku:
Okay, let's break this down step-by-step: 1. The first treasure chest: - Contains 23 emeralds and 30 diamonds - 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 - The number of real stones left (y) = 23 emeralds + 30 diamonds - 39 fake stones = 14 2. Calculating the value (g) of the first chest: - y = 14 - g = y^2 - 37 = 14^2 - 37 = 196 - 37 = 159 3. The second treasure chest: - Contains 540 rubies - The rubies 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 4. Calculating the number of rubies each pirate received: - 540 rubies / 45 pirates = 12 rubies per pirate - 3 rubies were lost in the division - The remaining number (x) = 540 - (45 * 12) + 3 = 540 - 540 + 3 = 3 5. Calculating the new value: - New value = g - x = 159 - 3 = 156 6. The second chest also contains 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. - The count (s) = 23 pearls + 11 zirconias - 9 discarded pieces = 25 7. Calculating the final value (m): - m = new value - s = 156 - 25 = 131 ### Answer: 131
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 Haiku:
Okay, let's break this down step-by-step: 1. There are 6 confirmed UFO sightings in the small city initially. 2. After a viral event, there are an additional 504 sightings over the next 14 days. 3. To find the daily average of the additional sightings, we divide 504 by 14 days: 504 / 14 = 36 4. Now, we subtract the initial 6 confirmed sightings from the daily average of 36: 36 - 6 = 30 5. The maximum number of sightings recorded in one day is 9. The number that would typically be dismissed as random is 3. 6. We take the maximum number of sightings (9) and subtract the number that would typically be dismissed as random (3): 9 - 3 = 6 7. Finally, we multiply the result from step 4 (30) by the result from step 6 (6): 30 * 6 = 180 ### Answer: 180
Expected answer: 180
Correct? Yes
Problem: After reconsideration, the investigator noticed a mistake in the calculations. They remembered that the maximum number of sightings recorded in one day was actually 35, not 9. If they corrected their mistake and subtracted 3 from 35 instead, and then multiplied by the previously calculated daily increase, what would be the corrected calculated number of sightings?
Claude-3 Haiku:
Okay, let's recalculate this with the corrected information. 1. There are 6 confirmed UFO sightings in the small city initially. 2. After a viral event, there are an additional 504 sightings over the next 14 days. 3. To find the daily average of the additional sightings, we divide 504 by 14 days: 504 / 14 = 36 4. Now, we subtract the initial 6 confirmed sightings from the daily average of 36: 36 - 6 = 30 5. The corrected maximum number of sightings recorded in one day is 35. The number that would typically be dismissed as random is 3. 6. We take the corrected maximum number of sightings (35) and subtract the number that would typically be dismissed as random (3): 35 - 3 = 32 7. Finally, we multiply the result from step 4 (30) by the result from step 6 (32): 30 * 32 = 960 ### Answer: 960
Expected answer: 960
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 Haiku:
Okay, let's break this down step-by-step: 1. The blanket maker has 5 square patches of blue material. 2. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. * 26 * 25 = 650 square patches of red material * 650 - 5 = 645 square patches of red material needed for the design 3. She then wants to compare this number to her stock of green material, which is 48*21 square patches. * 48 * 21 = 1,008 square patches of green material 4. She wants to subtract the number of red patches from the green patches. * 1,008 - 645 = 363 square patches Therefore, the difference between her stock of green patches and the red patches needed for the design is 363 square patches. ### Answer: 363
Expected answer: 363
Correct? Yes
Problem: The blanket maker realized that she made a mistake in her initial calculations. Instead of having 5 patches of blue material, she actually had 27 patches. After correcting her calculations, she subtracted this from 26*25 square patches of red material. Then, she compared 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. After making this correction, how many patches is the difference between her stock of green patches and the red patches now required for the design?
Claude-3 Haiku:
Okay, let's re-work this with the corrected information. 1. The blanket maker has 27 square patches of blue material. 2. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. * 26 * 25 = 650 square patches of red material * 650 - 27 = 623 square patches of red material needed for the design 3. She then wants to compare this number to her stock of green material, which is 48*21 square patches. * 48 * 21 = 1,008 square patches of green material 4. She wants to subtract the number of red patches from the green patches. * 1,008 - 623 = 385 square patches Therefore, the difference between her stock of green patches and the red patches now required for the design is 385 square patches. ### Answer: 385
Expected answer: 385
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 Haiku:
Okay, let's break this down step-by-step: 1) The villagers picked: - 38 baskets of lemons from the trees near the river - 24 baskets from the ones near an old well - 16 more baskets from the trees near the school - 13 more baskets from the trees near the mayor's house 2) In total, they picked 38 + 24 + 16 + 13 = 91 baskets of lemons. 3) They decided to use 35 baskets to make lemonade. 4) That leaves 91 - 35 = 56 remaining baskets. 5) Each basket of lemons can produce 14 bottles of lemonade. 6) So the number of bottles of lemonade they would get from the remaining 56 baskets is: 56 baskets x 14 bottles/basket = 784 bottles of lemonade. ### Answer: 784 bottles of lemonade.
Expected answer: 784
Correct? Yes
Problem: The villagers in Lemonville reconsidered their previous decision and determined that they would only need 23 baskets of lemons, instead of their initial estimation of 35 baskets, to make their village famous lemonade. If each basket of lemons could still produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets now?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The villagers initially picked 91 baskets of lemons in total. 2) They decided to use 23 baskets to make lemonade. 3) That leaves 91 - 23 = 68 remaining baskets. 4) Each basket of lemons can produce 14 bottles of lemonade. 5) So the number of bottles of lemonade they would get from the remaining 68 baskets is: 68 baskets x 14 bottles/basket = 952 bottles of lemonade. ### Answer: 952 bottles of lemonade.
Expected answer: 952
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 Haiku:
Okay, let's break this down step-by-step: 1. Amy found 21 seashells in the sandbox. 2. She gave 15 of them to her sister, so she had 21 - 15 = 6 seashells remaining. 3. The next day, she found another group of seashells that was 13 more than the 6 she had remaining, so that's 6 + 13 = 19 seashells. 4. She also found an additional 49 seashells. 5. So the total number of seashells she had at this point was 19 + 49 = 68. 6. She then gave 23 to her brother and 27 to her cousin, so she had 68 - 23 - 27 = 18 seashells left. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the initial story, Amy found 21 seashells in the sandbox and gave 15 of them away. She then found another 13 seashells, more than what she had kept for herself from the prior day. Additionally, she found 49 more seashells. However, let's reconsider the story and change the part where Amy gave away 23 seashells to her brother. Instead, imagine that she gave away 32 seashells to her brother. If she still gave 27 seashells to her cousin after this, how many seashells does Amy have left now?
Claude-3 Haiku:
Okay, let's rework this step-by-step: 1. Amy found 21 seashells in the sandbox. 2. She gave 15 of them to her sister, so she had 21 - 15 = 6 seashells remaining. 3. The next day, she found another group of seashells that was 13 more than the 6 she had remaining, so that's 6 + 13 = 19 seashells. 4. She also found an additional 49 seashells. 5. So the total number of seashells she had at this point was 19 + 49 = 68. 6. She then gave 32 to her brother, so she had 68 - 32 = 36 seashells left. 7. She then gave 27 to her cousin, so she had 36 - 27 = 9 seashells left. ### Answer: 9
Expected answer: 9
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 Haiku:
Okay, let's break this down step-by-step: Step 1: In the first round, Princess Anna thought of the numbers 7 and 10. She added them together. 7 + 10 = 17 Step 2: In the second round, Princess Anna thought of the number 29. She subtracted the result from the first round (17) and then subtracted 8 more from that result. 29 - 17 = 12 12 - 8 = 4 Step 3: 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. Result from first round: 17 Result from second round: 4 17 + 4 = 21 21 * 4 = 84 ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: Following the princess' first game, her little sister, Princess Bella, wanted to join in with her own twist. Bella did as follows: In the first round, Bella copied Anna and added the same two numbers: 7 and 10 together. For the second round, sister Bella thought of the number 33. Just like Anna, She subtracted the result from the first round and then decreased it by 8. In the final round, Princess Bella, like Anna, added the results from the first and second round. Then, she multiplied the sum by the result from her modified second round. What was the final result of Princess Bella's game?
Claude-3 Haiku:
Okay, let's break down Princess Bella's game step-by-step: Step 1: In the first round, Bella copied Anna and added the same two numbers: 7 and 10 together. 7 + 10 = 17 Step 2: For the second round, Bella thought of the number 33. She subtracted the result from the first round (17) and then decreased it by 8. 33 - 17 = 16 16 - 8 = 8 Step 3: In the final round, Bella added the results from the first and second round and then multiplied the sum by the result from her modified second round. Result from first round: 17 Result from second round: 8 17 + 8 = 25 25 * 8 = 200 ### Answer: 200
Expected answer: 200
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 Haiku:
Okay, let's break this down step-by-step: 1. Ellen originally had $15. 2. Sam originally had $48. 3. Sam gave some of his money to Ellen, so that after the transfer, Sam had the same amount as Ellen originally had, which was $15. 4. So, the amount of money Sam gave to Ellen was $48 - $15 = $33. 5. After this, Sam got $24 from his brother. 6. So, the total amount of money Sam has now is $15 + $24 = $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 Haiku:
Okay, let's break this down step-by-step: 1. The main river was 33 kilometers long. 2. The connected tributary added 19 kilometers to the total length. 3. So the total length of waterway they needed to investigate was 33 + 19 = 52 kilometers. 4. However, they later realized that a 30-kilometer portion of the river was inaccessible and couldn't be studied. 5. Therefore, the length of the river they were able to study was 52 - 30 = 22 kilometers. ### Answer: 22 kilometers.
Expected answer: 22
Correct? Yes
Problem: After finishing the initial survey, the team of scientists received a special permit to investigate an additional stretch of the river 32 kilometers long that was previously off limits. In total, how many kilometers of the river were the scientists able to study?
Claude-3 Haiku:
Okay, let's work this out step-by-step: 1. Initially, the scientists were able to study 22 kilometers of the river. 2. They then received a special permit to investigate an additional 32 kilometer stretch that was previously off limits. 3. So the total length of the river they were able to study is: - Initial length: 22 km - Additional length: 32 km - Total length: 22 km + 32 km = 54 km ### Answer: 54 kilometers.
Expected answer: 54
Correct? Yes
Problem: Suppose instead that the inaccessible portion of the river that the scientists were unable to study was 26 kilometers, not 30. How many kilometers of the river would they have been able to study under these conditions?
Claude-3 Haiku:
Okay, let's rework this with the new information: 1. The main river was 33 kilometers long. 2. The connected tributary added 19 kilometers to the total length. 3. So the total length of waterway they needed to investigate was 33 + 19 = 52 kilometers. 4. However, they later realized that a 26-kilometer portion of the river was inaccessible and couldn't be studied. 5. Therefore, the length of the river they were able to study was 52 - 26 = 26 kilometers. ### Answer: 26 kilometers.
Expected answer: 26
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 Haiku:
Okay, let's break this down step-by-step: 1. The first photographer took 34 shots at a wedding, but removed 19 of them because they were out of focus. So the number of shots he kept from the wedding is: 34 - 19 = 15 shots 2. The next day, he took an additional 21 shots at a different event. 3. Then, he added 23 more shots he took on a third event. So the total number of shots the first photographer has is: 15 + 21 + 23 = 59 shots 4. The second photographer took 880 shots at a large event and decided to select every 40th shot for his collection. The number of shots the second photographer selected is: 880 / 40 = 22 shots Now, we can add the total number of shots from both photographers: 59 + 22 = 81 shots ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Recalling the photographers from the previous problems. Suppose the second photographer decided to select every 28th shot instead of every 40th shot for his collection from the large event where he took 880 shots. Now, what is the total number of shots in their collections combined after this modification?
Claude-3 Haiku:
Okay, let's recalculate the total number of shots in their collections combined with the new information. 1. The first photographer's collection remains the same: 15 + 21 + 23 = 59 shots 2. The second photographer decided to select every 28th shot instead of every 40th shot from the 880 shots he took. The number of shots the second photographer selected is: 880 / 28 = 31.43 (rounded down to 31 shots) Now, we can add the total number of shots from both photographers: 59 + 31 = 90 shots ### Answer: 90
Expected answer: 633/7
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. The pirate's previous loot was 13 gold coins. 2. The treasure chest he found contained 3 times the amount of his previous loot, which is 3 x 13 = 39 gold coins. 3. After spending 22 of these coins on the crew's rum, he had 39 - 22 = 17 gold coins left. 4. He then discovered another loot of 47 gold coins. 5. So the total number of gold coins the pirate has now is 17 + 47 = 64 gold coins. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Recall the pirate's adventure. But let's say, originally the treasure chest he found had 42 times the amount of his previous loot of 13 gold coins instead of 3 times. After spending 22 of these coins for the crew's rum, and discovering another loot of 47 gold coins, how many gold coins does the pirate have now?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. The pirate's previous loot was 13 gold coins. 2. The treasure chest he found contained 42 times the amount of his previous loot, which is 42 x 13 = 546 gold coins. 3. After spending 22 of these coins on the crew's rum, he had 546 - 22 = 524 gold coins left. 4. He then discovered another loot of 47 gold coins. 5. So the total number of gold coins the pirate has now is 524 + 47 = 571 gold coins. ### Answer: 571
Expected answer: 571
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. The hiker traveled an average of 900 miles in 36 days. * This means the hiker's daily average was 900/36 = 25 miles per day. 2. One day, he increases his daily average to 16 miles. * This reduces his remaining journey by a certain number of days. * Let's call the remaining days after this change 'x'. * The total distance traveled is still 900 miles. * So, 25 * 36 = 900 and 16 * x = 900 * Solving for x, we get x = 56.25 days. * This means he saved 36 - 56.25 = -20.25 days. 3. After that, he finds a shortcut which saves him an additional 4 days. * This means he saved 4 more days. 4. A friendly traveller advised him of another path that will save him 40 days. * This means he saved an additional 40 days. 5. He also saves 21 days due to good weather. * This means he saved an additional 21 days. Adding up all the days saved: -20.25 + 4 + 40 + 21 = 44.75 days ### Answer: 44.75 days
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 Haiku:
Okay, let's break this down step-by-step: * The company produces 33 pillows every hour * They operate 24 hours a day (round the clock) * They incurred a loss of 43 pillows due to machine errors First, let's calculate the total number of pillows produced in a day: * 33 pillows per hour x 24 hours per day = 792 pillows per day Now, we need to account for the 43 pillows lost due to machine errors: * 792 pillows produced - 43 pillows lost = 749 pillows ### Answer: 749
Expected answer: 749
Correct? Yes
Problem: The pillow manufacturing company decides to adjust their production rate to be consistent with worker shifts, producing 24 pillows every hour instead. However, they still incur a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?
Claude-3 Haiku:
Okay, let's work through this step-by-step: * The company now produces 24 pillows every hour * They operate 24 hours a day (round the clock) * They incurred a loss of 43 pillows due to machine errors First, let's calculate the total number of pillows produced in a day: * 24 pillows per hour x 24 hours per day = 576 pillows per day Now, we need to account for the 43 pillows lost due to machine errors: * 576 pillows produced - 43 pillows lost = 533 pillows ### Answer: 533
Expected answer: 533
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 Haiku:
Okay, let's break this down step-by-step: * There are 5 rooms in one wing of the castle * The other wing has 216 bricks * The rule is that 1 room is equivalent to 36 bricks To find the total number of rooms, we need to convert the number of bricks in the other wing to the number of rooms. First, let's calculate the number of rooms in the other wing: * 216 bricks / 36 bricks per room = 6 rooms Now, we can add the number of rooms in both wings: * 5 rooms (in one wing) + 6 rooms (in the other wing) = 11 rooms ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In the same castle, there is a hidden underground passage which has 9 rooms. After discovering these, if you count all the rooms: the original five, the ones found in the second wing when converting the number of bricks to rooms, and these new rooms from the underground passage together. How many rooms are there in the castle in total?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * Originally, there were 5 rooms in one wing of the castle * In the other wing, there were 216 bricks, which converts to 6 rooms (216 bricks / 36 bricks per room = 6 rooms) * There is also a hidden underground passage with 9 rooms To find the total number of rooms in the castle, we add up the rooms from all three locations: * 5 rooms (in the original wing) * 6 rooms (in the second wing) * 9 rooms (in the underground passage) So the total number of rooms in the castle is: * 5 + 6 + 9 = 20 rooms ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Suppose when we originally counted, we made a mistake and there were actually 35 rooms in the first wing of the castle, not 5. If we still convert the bricks in the second wing into the equivalent number of rooms and add them to this new total, how many rooms are now in the castle excluding the underground passage rooms?
Claude-3 Haiku:
Okay, let's work this out step-by-step: * Originally, we thought there were 5 rooms in the first wing, but there are actually 35 rooms. * The second wing has 216 bricks. * The rule is that 1 room is equivalent to 36 bricks. First, let's calculate the number of rooms in the second wing: * 216 bricks / 36 bricks per room = 6 rooms Now, we can add the number of rooms in both wings: * 35 rooms (in the first wing) + 6 rooms (in the second wing) = 41 rooms ### Answer: 41
Expected answer: 41
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 Haiku:
Okay, let's break this down step-by-step: 1. The player scored 15 goals in each of the 31 matches. * Total goals scored = 15 x 31 = 465 goals 2. 43 of the goals were initially discounted due to an error. * Remaining goals = 465 - 43 = 422 goals 3. 40 of the discounted goals were later awarded back to the player. * Total goals = 422 + 40 = 462 goals 4. After a reevaluation, 26 of the 40 awarded goals were deducted again. * Final total goals = 462 - 26 = 436 goals ### Answer: 436
Expected answer: 436
Correct? Yes
Problem: The player from the previous question, with his total number of goals determined, got involved in a contest where the goal tally he had counted as points with a multiplier attached. If that multiplier was 1, how many points did he get in the contest?
Claude-3 Haiku:
Okay, let's use the information from the previous question: * The player ended up with a total of 436 goals. * The multiplier for the contest was 1. To calculate the points the player got in the contest, we simply need to multiply the total number of goals by the multiplier: * Points = 436 goals x 1 multiplier * Points = 436 ### 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 Haiku:
Okay, let's break this down step-by-step: * The aquarium has 9 tanks * Each tank has 49 fish * So the total number of fish in the aquarium is 9 * 49 = 441 fish * However, 5 of the fish in one tank are relocated * So the new total number of fish in the aquarium is 441 - 5 = 436 fish ### Answer: 436
Expected answer: 436
Correct? Yes
Problem: Let's consider another situation. Suppose each of the 9 tanks in the aquarium originally contained 47 fish, instead of 49, and the same number of fish (5) were relocated from one tank as in the previous situation. Now, what would be the total number of fish in the aquarium?
Claude-3 Haiku:
Okay, let's work through this step-by-step: * The aquarium has 9 tanks * Each tank originally had 47 fish * So the original total number of fish in the aquarium was 9 * 47 = 423 fish * 5 fish were relocated from one of the tanks * So the new total number of fish in the aquarium is 423 - 5 = 418 fish ### Answer: 418
Expected answer: 418
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 Haiku:
Okay, let's break this down step-by-step: 1) Jeremy starts with 14 cards. 2) He then discards 19 of his cards. * So, he now has 14 - 19 = -5 cards. 3) He then gains 32 more cards from the deck. * So, he now has -5 + 32 = 27 cards. ### Answer: 27
Expected answer: 27
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. In the next moved, Jeremy was fortunate enough to be given 7 more cards and found 12 more discarded cards on the table, which he added to his deck. How many cards does Jeremy have now?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1) Jeremy starts with 14 cards. 2) He then discards 19 of his cards. * So, he now has 14 - 19 = -5 cards. 3) He then gains 32 more cards from the deck. * So, he now has -5 + 32 = 27 cards. 4) He is then given 7 more cards. * So, he now has 27 + 7 = 34 cards. 5) He then finds 12 more discarded cards on the table. * So, he now has 34 + 12 = 46 cards. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: In the card game, let's imagine that Jeremy initially had 14 cards, but this time he only discards 19 cards before gaining 13 more cards from the deck. How many cards does Jeremy have now?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1) Jeremy starts with 14 cards. 2) He then discards 19 of his cards. * So, he now has 14 - 19 = -5 cards. 3) He then gains 13 more cards from the deck. * So, he now has -5 + 13 = 8 cards. ### Answer: 8
Expected answer: 8
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 Haiku:
Okay, let's break this down step-by-step: Step 1: Calculate the rate of ticks per minute for the first clock. The first clock ticks 504 times in 42 minutes, so the rate is: 504 ticks / 42 minutes = 12 ticks per minute Step 2: Calculate the rate of ticks per minute for the second clock. The second clock ticks 279 times in 31 minutes, so the rate is: 279 ticks / 31 minutes = 9 ticks per minute Step 3: Add 34 to the rate of the second clock's ticks per minute. 9 ticks per minute + 34 = 43 ticks per minute Step 4: Multiply the first clock's ticks per minute by 35 and then subtract 41. 12 ticks per minute x 35 = 420 ticks per minute 420 ticks per minute - 41 = 379 ticks per minute Step 5: Subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock. 379 ticks per minute - 43 ticks per minute = 336 ticks per minute ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: In the previous question about clocks, the second clock actually ticks 279 times in just 2 minutes, not 31 minutes. Re-calculate the rate of ticks per minute for this clock and add 34 to it. As before, calculate the tick rate for the first clock, then multiply it by 35 and subtract 41. Finally, subtract this modified rate of the second clock from the manipulated rate of the first clock. What is the new result?
Claude-3 Haiku:
Okay, let's re-work this with the corrected information. Step 1: Calculate the rate of ticks per minute for the second clock. The second clock ticks 279 times in 2 minutes, so the rate is: 279 ticks / 2 minutes = 139.5 ticks per minute Step 2: Add 34 to the rate of the second clock's ticks per minute. 139.5 ticks per minute + 34 = 173.5 ticks per minute Step 3: Calculate the rate of ticks per minute for the first clock. The first clock ticks 504 times in 42 minutes, so the rate is: 504 ticks / 42 minutes = 12 ticks per minute Step 4: Multiply the first clock's ticks per minute by 35 and then subtract 41. 12 ticks per minute x 35 = 420 ticks per minute 420 ticks per minute - 41 = 379 ticks per minute Step 5: Subtract the modified rate of the second clock from the manipulated rate of the first clock. 379 ticks per minute - 173.5 ticks per minute = 205.5 ticks per minute ### Answer: 205.5
Expected answer: 411/2
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 Haiku:
Okay, let's break this down step-by-step: * On Tuesday, the rainfall was 39 cm. * On Wednesday, the rainfall decreased by 6 cm from Tuesday's rainfall. * So, the rainfall on Wednesday was 39 cm - 6 cm = 33 cm. * On Thursday, the rainfall further decreased by 31 cm from Wednesday's rainfall. * So, the rainfall on Thursday was 33 cm - 31 cm = 2 cm. ### Answer: 2 cm
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 Haiku:
Okay, let's break this down step-by-step: 1. In the first month, the enthusiast reported seeing 50 UFOs. 2. However, 36 of these were actually meteors, so the revised (actual) number of UFO sightings in the first month was 50 - 36 = 14. 3. In the second month, the enthusiast reported seeing 41 UFOs. 4. Additionally, the enthusiast reported seeing an amount equal to the revised (actual) number of UFO sightings from the previous month, which was 14. 5. The enthusiast also reported an additional 5 UFO sightings. So, the total number of UFO sightings reported by the enthusiast in the second month is: 41 + 14 + 5 = 60 ### 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 Haiku:
Okay, let's break this down step-by-step: 1. In the first game, the cat accumulated 5 yarn balls. 2. In the second game, the cat got as many balls as the square of what she obtained in the first game plus 8 more. * The square of 5 is 25. * 25 + 8 = 33 yarn balls in the second game. 3. In the third game, the cat 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. * The difference between 45 and 33 (the number of balls from the second game) is 12. * 25 times 12 is 300 yarn balls. Therefore, the cat now has 300 yarn balls. ### Answer: 300
Expected answer: 300
Correct? Yes
Problem: Let's rethink the second game the cat played. Suppose that instead of intensifying her third game by multiplying the difference of the balls by 25, the cat only multiplied by 6. After playing her second game, where she got as many balls as the square of what she obtained in the first game (5 yarn balls) plus 8 more, she played her third game. This time around, she ended the game with a number of balls which is 6 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?
Claude-3 Haiku:
Okay, let's rework this step-by-step: 1. In the first game, the cat accumulated 5 yarn balls. 2. In the second game, the cat got as many balls as the square of what she obtained in the first game (5) plus 8 more. * The square of 5 is 25. * 25 + 8 = 33 yarn balls in the second game. 3. In the third game, the cat ended up with a number of balls which is 6 times the difference between 45 and what she accumulated from the second game. * The difference between 45 and 33 (the number of balls from the second game) is 12. * 6 times 12 is 72 yarn balls. Therefore, the cat now has 72 yarn balls. ### Answer: 72
Expected answer: 72
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 Haiku:
Okay, let's break this down step-by-step: 1. The basket initially contains 41 balls. 2. The balls are split into two types - tennis balls and cricket balls. 3. When 16 balls are removed, they are cricket balls. 4. 9 ping pong balls and 21 basketballs are then added to the basket. First, let's find out how many tennis balls and cricket balls were in the basket initially: * Total balls = 41 * Cricket balls removed = 16 * Remaining balls = 41 - 16 = 25 * Therefore, the initial number of tennis balls = 25 Now, let's add the new balls to the basket: * Ping pong balls added = 9 * Basketballs added = 21 * Total balls in the basket = 25 + 9 + 21 = 55 ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: Continuing from the first problem, reconsider the situation but this time, instead of adding 21 basketballs to the basket, you only add 2 basketballs after the 9 ping pong balls. How many balls are now in the basket?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. The basket initially contained 41 balls. 2. 16 of those balls were cricket balls, which were removed. 3. That left 41 - 16 = 25 tennis balls in the basket. 4. Then, 9 ping pong balls were added to the basket. 5. Finally, 2 basketballs were added to the basket. So, the total number of balls in the basket is: * Tennis balls: 25 * Ping pong balls: 9 * Basketballs: 2 * Total: 25 + 9 + 2 = 36 ### Answer: 36
Expected answer: 36
Correct? Yes
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 Haiku:
Okay, let's break this down step-by-step: 1. Your friend wants to represent 37 hours on the clock face, and they have already completed 32 squares. 2. They subtract 32 from 37, which gives 5. 3. They add 42 to the result, which gives 47. 4. They then subtract 37 from 47, which gives 10. 5. They want to add 25 more squares for representing minutes, and 28 squares for seconds. 6. They add 25 and 28, which gives 53. 7. They add 41 to 53, which gives 94. 8. They then add 17 to the result, which gives 111. 9. They decide to reduce the total number of squares by 23. 10. They take the initial number they figured out (10) and add it to the reduced number (111 - 23 = 88), which gives 98. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Your clockmaker friend continues to work at their quirky clock. They thought about the previous calculation for hour squares and realized they made a mistake. Instead of subtracting 37 from the sum of the unfinished hour squares (after adding 42), they should have subtracted only 13. So, they re-did the maths: subtracted 32 from 37, added 42 to the result, and then subtracted only 13 from that total. Everything else remained the same, including the additional 25 squares for the minutes, followed by another 28 squares for the seconds. The following calculations also didn't change: they added 41 to 25, added 28 to the result and then added 17 to the final number. But, just like before, they realized they still lack some material and decided to go on with their decision to reduce the total number of squares by 23. In the end, they added this reduced total to the newly calculated number for hours (after subtracting 13 instead of 37). Can you help your friend figure out (again!) how many squares they would need in total to complete their quirky clock project with the new calculation?
Claude-3 Haiku:
Okay, let's go through the updated calculations step-by-step: 1. Your friend wants to represent 37 hours on the clock face, and they have already completed 32 squares. 2. They subtract 32 from 37, which gives 5. 3. They add 42 to the result, which gives 47. 4. They then subtract 13 from 47, which gives 34. 5. They want to add 25 more squares for representing minutes, and 28 squares for seconds. 6. They add 25 and 28, which gives 53. 7. They add 41 to 53, which gives 94. 8. They then add 28 to the result, which gives 122. 9. They add 17 to the result, which gives 139. 10. They decide to reduce the total number of squares by 23. 11. They take the newly calculated number for hours (34) and add it to the reduced number (139 - 23 = 116), which gives 150. ### Answer: 150
Expected answer: 122
Correct? No
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 Haiku:
Okay, let's break this down step-by-step: 1. The farm typically produces 28 pounds of oranges in a single day. 2. Due to a new method, the farm produced 2 times the typical amount, which is 2 x 28 = 56 pounds per day. 3. The harvest period was 15 days. 4. So the total production during the 15-day harvest period was 56 pounds per day x 15 days = 840 pounds. 5. The farm then added 16 pounds of a rare orange variant to this harvest. 6. Therefore, the total production was 840 pounds + 16 pounds = 856 pounds. ### Answer: 856 pounds.
Expected answer: 856
Correct? Yes
Problem: Previously, the orange farm had been able to double its typical daily output of 28 pounds to increase its harvest yield. However, imagine what would have happened had the farm originally been producing a lesser daily output, such as 7 pounds. If they were still able to double this amount each day of the 15-day harvest period and added the same 16 pounds of the rare orange variant to their yield, how much would the farm have produced in that case?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. The original daily output was 7 pounds of oranges. 2. By doubling the daily output, the farm was producing 7 x 2 = 14 pounds per day. 3. Over the 15-day harvest period, the total production would be 14 pounds per day x 15 days = 210 pounds. 4. The farm then added 16 pounds of the rare orange variant to the harvest. 5. Therefore, the total production in this case would be 210 pounds + 16 pounds = 226 pounds. ### Answer: 226 pounds.
Expected answer: 226
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 Haiku:
Okay, let's break this down step-by-step: 1. The bus initially has 37 passengers. 2. At the next stop, 20 more passengers get on, so the total number of passengers is now 37 + 20 = 57. 3. Before the bus reaches the next stop, 44 passengers get off, so the remaining number of passengers is 57 - 44 = 13. 4. Each of the 13 remaining passengers pays an $11 fare. * Total fare collected = 13 passengers x $11 per fare = $143 5. The bus company deducts a $14 service fee from the total fare. * Revenue for the bus company = $143 - $14 = $129 ### Answer: $129
Expected answer: 129
Correct? Yes
Problem: Following the previously described bus ride, where, after passengers got on and off, the company collected fare from each remaining passenger and deducted a $14 service fee, the company then had to pay a $23 parking fee for the bus at the end of the day. After all these expenses, how much revenue does the bus company have now?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1. From the previous problem, we know that the bus company collected $129 in revenue after the passengers got on and off, and the $14 service fee was deducted. 2. Now, the bus company has to pay a $23 parking fee at the end of the day. 3. To calculate the final revenue, we need to subtract the $23 parking fee from the $129 revenue. Final revenue = $129 - $23 = $106 ### Answer: $106
Expected answer: 106
Correct? Yes
Problem: Suppose we revisit the scenario of the bus ride. This time, imagine that instead of 37 passengers initially on the bus, there were only 28 passengers. Then, the bus picked up 20 more passengers at the next stop, but 44 passengers get off before the next stop. The remaining passengers each pay a bus fare of $11, but the company also deducts a $14 service fee from the total fares. How much revenue does the bus company get in this situation?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1. Initially, there were 28 passengers on the bus. 2. At the next stop, 20 more passengers got on, so the total number of passengers was 28 + 20 = 48. 3. Before the bus reached the next stop, 44 passengers got off, so the remaining number of passengers was 48 - 44 = 4. 4. Each of the 4 remaining passengers paid an $11 fare. * Total fare collected = 4 passengers x $11 per fare = $44 5. The bus company deducted a $14 service fee from the total fare. * Revenue for the bus company = $44 - $14 = $30 ### Answer: $30
Expected answer: 30
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 Haiku:
Okay, let's break this down step-by-step: 1) The pirate found a treasure chest with: - 13 emeralds - 42 rubies - 19 sapphires 2) In total, the pirate had 13 + 42 + 19 = 74 gems. 3) The pirate gave away 43 gems to his crewmates. 4) To find how many gems the pirate had left, we subtract the number of gems given away from the total number of gems: - 74 gems - 43 gems given away = 31 gems left. ### 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 Haiku:
Okay, let's break this down step-by-step: 1. The reserve initially has 16 ginger giraffes. 2. They then bring in the same number of golden giraffes as they had of the ginger ones. So they bring in 16 golden giraffes. 3. Later, they add another group of 46 greyish giraffes. To find the total number of giraffes in the reserve now, we add up the number of each type: * Ginger giraffes: 16 * Golden giraffes: 16 * Greyish giraffes: 46 Total number of giraffes = 16 + 16 + 46 = 78 ### Answer: 78
Expected answer: 78
Correct? Yes
Problem: After successfully populating the reserve with various giraffes, unfortunately, 2 of the greyish giraffes suddenly moved out of the reserve. How many giraffes are there now in the reserve after the 2 greyish giraffes left?
Claude-3 Haiku:
Okay, let's calculate the new total number of giraffes after the 2 greyish giraffes moved out. Originally, there were: * 16 ginger giraffes * 16 golden giraffes * 46 greyish giraffes So the total number of giraffes was 16 + 16 + 46 = 78 Now, 2 of the greyish giraffes have moved out, so the new total is: * 16 ginger giraffes * 16 golden giraffes * 46 - 2 = 44 greyish giraffes The new total number of giraffes is: 16 + 16 + 44 = 76 ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Let's reconsider the original scenario where the reserve started with ginger giraffes. But this time assume that the reserve initially had 42 ginger giraffes instead of 16. They again brought in the same number of golden giraffes as the ginger ones. Later, they decided to add another group of 46 greyish giraffes. What would be the total number of giraffes in the reserve now under this new scenario?
Claude-3 Haiku:
Okay, let's work through this new scenario step-by-step: 1. The reserve initially has 42 ginger giraffes. 2. They then bring in the same number of golden giraffes as they had of the ginger ones. So they bring in 42 golden giraffes. 3. Later, they add another group of 46 greyish giraffes. To find the total number of giraffes in the reserve now, we add up the number of each type: * Ginger giraffes: 42 * Golden giraffes: 42 * Greyish giraffes: 46 Total number of giraffes = 42 + 42 + 46 = 130 ### Answer: 130
Expected answer: 130
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 Haiku:
Okay, let's break this down step-by-step: 1) The turtle travels as many leagues as 11 plus 10. * So the initial distance traveled is 11 + 10 = 21 leagues. 2) The turtle then multiplies that distance by 16 to get the total distance for the week. * So the total distance calculated is 21 * 16 = 336 leagues. 3) The turtle later realizes it had over calculated the distance by 41 leagues. * So the real distance it swam that week is 336 - 41 = 295 leagues. ### Answer: 295
Expected answer: 295
Correct? Yes
Problem: Continuing from the previous scenario, consider that the turtle realizes that it originally miscalculated the daily travel distance. Instead of swimming 11 leagues plus 10 a day, it actually swam 11 leagues plus 17 leagues a day. After multiplying that daily total by 16 for the week, and subtracting the over-calculated 41 leagues, how much did the turtle actually swim in the originally estimated week?
Claude-3 Haiku:
Okay, let's work through this step-by-step: 1) The turtle originally thought it swam 11 leagues plus 10 leagues per day. 2) But it actually swam 11 leagues plus 17 leagues per day. 3) So the correct daily distance is 11 + 17 = 28 leagues per day. 4) The turtle multiplied this daily distance by 16 for the week, so the total distance calculated was 28 * 16 = 448 leagues. 5) But the turtle had over-calculated by 41 leagues, so the real distance swam in the week is 448 - 41 = 407 leagues. ### Answer: 407
Expected answer: 407
Correct? Yes