🔗 Problem

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

GPT-4o:

    First, we need to determine the number of words per line before adding the refrain. Each verse has 162 words and is divided into 18 lines.

    To find the number of words per line:
    \[ \text{Words per line} = \frac{162 \text{ words}}{18 \text{ lines}} = 9 \text{ words per line} \]

    Next, we add the refrain of 34 words to each line:
    \[ \text{Total words per line} = 9 \text{ words per line} + 34 \text{ words} = 43 \text{ words per line} \]

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's recall the number of words per line after the initial addition of 34 words to each line. We previously calculated that each line had 43 words.

    Now, the songwriter adds an extra refrain of 39 words to the end of each verse. However, this addition is to the verse as a whole, not to each line individually. Therefore, it does not affect the number of words per line directly.

    The number of words per line remains the same as calculated previously:
    \[ \text{Words per line} = 43 \]

    ### Answer: 43

Expected answer: 82

Correct? No

🔗 Follow-up

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

GPT-4o:

    First, we recall the number of words per line before adding the refrain, which we previously calculated as 9 words per line.

    Now, if the songwriter adds 28 words as the refrain to each line:
    \[ \text{Total words per line} = 9 \text{ words per line} + 28 \text{ words} = 37 \text{ words per line} \]

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. Initially, the biologist counted 35 penguins on the small ice floe.
    2. In another part of the Antarctic, she counted 598 penguins divided evenly among 26 ice floes. To find the number of penguins per ice floe:
       \[
       \frac{598}{26} = 23
       \]
       So, there are 23 penguins per ice floe.

    3. Returning to the first place, she found the penguin population had increased by 49:
       \[
       35 + 49 = 84
       \]

    4. She decided to take 33 more penguins into account:
       \[
       84 + 33 = 117
       \]

    5. She realized she had overestimated and subtracted 10 from her calculations:
       \[
       117 - 10 = 107
       \]

    6. Finally, she added the penguins she left at her base camp, which were 20 adults and 14 chicks:
       \[
       107 + 20 + 14 = 141
       \]

    Therefore, the total number of penguins she counted is:
    ### Answer: 141

Expected answer: 164

Correct? No

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    First, we need to determine the number of red steps on the first jungle gym. We know that the top 19 steps are blue, and the rest are red. Since the total number of steps is 27, we can find the number of red steps by subtracting the number of blue steps from the total number of steps:

    \[ 27 - 19 = 8 \]

    So, there are 8 red steps on the first jungle gym.

    Next, we are told that there are another 19 red steps. Adding these to the 8 red steps we already have:

    \[ 8 + 19 = 27 \]

    So, there are 27 red steps in total on the first jungle gym.

    Now, we need to find the total number of colored steps on the first jungle gym. We have 19 blue steps and 27 red steps:

    \[ 19 + 27 = 46 \]

    On the second jungle gym, there are 34 green steps.

    Finally, we add the total number of colored steps from both jungle gyms:

    \[ 46 + 34 = 80 \]

    ### Answer: 80

Expected answer: 61

Correct? No

🔗 Problem

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

GPT-4o:

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

    1. **Calculate the average rainfall of the typical cloud per hour:**
       \[
       \text{Average rainfall per hour} = \frac{775 \text{ mm}}{31 \text{ hours}} = 25 \text{ mm/hour}
       \]

    2. **Subtract 22 from the average rainfall per hour:**
       \[
       25 \text{ mm/hour} - 22 = 3 \text{ mm/hour}
       \]

    3. **Multiply this result by 23:**
       \[
       3 \text{ mm/hour} \times 23 = 69 \text{ mm}
       \]

    4. **Add this result to a constant cloud factor of 42:**
       \[
       69 \text{ mm} + 42 \text{ mm} = 111 \text{ mm}
       \]

    5. **Add this new result to the hourly rainfall of the initial cloud (47 mm/hour):**
       \[
       111 \text{ mm} + 47 \text{ mm} = 158 \text{ mm}
       \]

    6. **Subtract 2 from it:**
       \[
       158 \text{ mm} - 2 \text{ mm} = 156 \text{ mm}
       \]

    ### Answer: 156

Expected answer: 156

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    To solve this problem, we will follow the same steps as before, but with the new initial cloud rainfall of 15 millimeters per hour.

    1. **Calculate the average rainfall of the typical cloud per hour:**
       \[
       \text{Average rainfall per hour} = \frac{775 \text{ mm}}{31 \text{ hours}} = 25 \text{ mm/hour}
       \]

    2. **Subtract 22 from the average rainfall per hour:**
       \[
       25 \text{ mm/hour} - 22 = 3 \text{ mm/hour}
       \]

    3. **Multiply this result by 23:**
       \[
       3 \text{ mm/hour} \times 23 = 69 \text{ mm}
       \]

    4. **Add this result to a constant cloud factor of 42:**
       \[
       69 \text{ mm} + 42 \text{ mm} = 111 \text{ mm}
       \]

    5. **Add this new result to the hourly rainfall of the initial cloud (15 mm/hour):**
       \[
       111 \text{ mm} + 15 \text{ mm} = 126 \text{ mm}
       \]

    6. **Subtract 2 from it:**
       \[
       126 \text{ mm} - 2 \text{ mm} = 124 \text{ mm}
       \]

    ### Answer: 124

Expected answer: 124

Correct? Yes

🔗 Problem

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

GPT-4o:

    To find out how long Nadia practiced the piano in total that day, we need to add up the time she spent practicing in the morning, afternoon, and evening.

    First, let's add the time she practiced in the afternoon and evening:
    \[ 35 \text{ minutes} + 35 \text{ minutes} = 70 \text{ minutes} \]

    Next, we add the time she practiced in the morning:
    \[ 45 \text{ minutes} + 70 \text{ minutes} = 115 \text{ minutes} \]

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

    ### Answer: 115 minutes

Expected answer: 115

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total practice time with Nadia's adjusted schedule, we need to add the new morning practice time to the unchanged afternoon and evening practice times.

    First, let's add the afternoon and evening practice times:
    \[ 35 \text{ minutes} + 35 \text{ minutes} = 70 \text{ minutes} \]

    Next, we add the new morning practice time:
    \[ 26 \text{ minutes} + 70 \text{ minutes} = 96 \text{ minutes} \]

    So, with the adjustment, Nadia would be practicing for a total of 96 minutes in a day.

    ### Answer: 96 minutes

Expected answer: 96

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to determine the factor by which the prices are reduced during the flash sale. This factor is given by the division of 465 by 31.

    \[ \text{Factor} = \frac{465}{31} \]

    Perform the division:

    \[ 465 \div 31 = 15 \]

    So, the prices are reduced by a factor of 15.

    Next, we calculate the new price of a dress during the flash sale by dividing the original price by this factor:

    \[ \text{New Price} = \frac{44}{15} \]

    Perform the division:

    \[ \frac{44}{15} \approx 2.9333 \]

    Rounding to the nearest cent, the new price of a dress during the flash sale is approximately $2.93.

    ### Answer: $2.93

Expected answer: 660

Correct? No

🔗 Problem

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

GPT-4o:

    First, let's determine how many meters of rope the rope maker made on Tuesday. He made the same amount as on Monday plus an additional 19 meters.

    On Monday, he made 46 meters.
    On Tuesday, he made 46 meters + 19 meters = 65 meters.

    Next, we calculate the total amount of rope made on both days before any damage occurred:
    46 meters (Monday) + 65 meters (Tuesday) = 111 meters.

    By Wednesday, 9 meters of this rope had been damaged and was unusable. Therefore, we subtract the damaged rope from the total amount:
    111 meters - 9 meters = 102 meters.

    ### Answer: 102 meters.

Expected answer: 56

Correct? No

🔗 Problem

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

GPT-4o:

    To determine the total amount Juliana spent, we need to add the costs of the earrings, the jewelry box, and the gift wrapping service.

    1. Calculate the cost of the earrings:
       - Each pair of earrings costs $2.
       - Juliana bought 16 pairs.
       - Total cost for earrings = 16 pairs * $2/pair = $32.

    2. Add the cost of the jewelry box:
       - The jewelry box costs $25.

    3. Add the cost of the gift wrapping service:
       - The gift wrapping service costs $48.

    Now, sum all these costs:
       - Total cost = $32 (earrings) + $25 (jewelry box) + $48 (gift wrapping) = $105.

    ### Answer: $105.

Expected answer: 105

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to determine how many beads each friend gets when Emma divides the 60 beads equally among her 3 friends.

    \[ \text{Number of beads per friend} = \frac{60}{3} = 20 \]

    Next, Emma adds 4 more beads to each friend's pile.

    \[ \text{Total beads per friend} = 20 + 4 = 24 \]

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we need to determine how many beads each friend gets when Emma divides the 60 beads equally among her 28 friends.

    \[ \text{Number of beads per friend} = \frac{60}{28} \]

    Simplifying the fraction:

    \[ \frac{60}{28} = \frac{30}{14} = \frac{15}{7} \approx 2.14 \]

    So, each friend initially gets approximately \( \frac{15}{7} \) beads.

    Next, Emma adds 4 more beads to each friend's pile.

    \[ \text{Total beads per friend} = \frac{15}{7} + 4 \]

    Converting 4 to a fraction with the same denominator:

    \[ 4 = \frac{28}{7} \]

    Adding the fractions:

    \[ \frac{15}{7} + \frac{28}{7} = \frac{43}{7} \]

    So, each friend has \( \frac{43}{7} \) beads.

    ### Answer: \(\frac{43}{7}\)

Expected answer: 43/7

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. The boy started with 37 paper straws.
    2. He removed 4 straws, so the number of straws left is:
       \[
       37 - 4 = 33
       \]
    3. He then removed another 23 straws, so the number of straws left is:
       \[
       33 - 23 = 10
       \]
    4. He multiplied the remaining number of straws by 45:
       \[
       10 \times 45 = 450
       \]
    5. He subtracted 49 from that total:
       \[
       450 - 49 = 401
       \]
    6. Finally, he took out 7 more straws:
       \[
       401 - 7 = 394
       \]

    ### Answer: 394

Expected answer: 394

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's correct the calculation step by step:

    1. The boy started with 37 paper straws.
    2. He removed 4 straws, so the number of straws left is:
       \[
       37 - 4 = 33
       \]
    3. He then removed another 23 straws, so the number of straws left is:
       \[
       33 - 23 = 10
       \]
    4. He multiplied the remaining number of straws by 45:
       \[
       10 \times 45 = 450
       \]
    5. He should have subtracted 25 (not 49) from that total:
       \[
       450 - 25 = 425
       \]
    6. Finally, he took out 7 more straws:
       \[
       425 - 7 = 418
       \]

    ### Answer: 418

Expected answer: 418

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. Each trip sees 2 animals.
    2. Each animal has 3 baby animals, so each trip sees \(2 \times 3 = 6\) baby animals.
    3. There are 2 trips, so the total number of baby animals seen is \(2 \times 6 = 12\) baby animals.
    4. Each baby animal can be photographed 21 times, so the total number of photos taken is \(12 \times 21 = 252\) photos.

    Next, we account for the spoiled photos and additional photos taken:

    5. Out of the 252 photos, 34 were spoiled, so the number of usable photos initially is \(252 - 34 = 218\) photos.
    6. Guests were given the opportunity to take an additional 30 photos, so the total number of usable photos becomes \(218 + 30 = 248\) photos.

    ### Answer: 248

Expected answer: 248

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    Let's adjust the calculations based on the new information:

    1. Each trip sees 2 animals.
    2. Each animal has 3 baby animals, so each trip sees \(2 \times 3 = 6\) baby animals.
    3. There are 2 trips, so the total number of baby animals seen is \(2 \times 6 = 12\) baby animals.
    4. Each baby animal can now be photographed 16 times, so the total number of photos taken is \(12 \times 16 = 192\) photos.

    Next, we account for the spoiled photos and additional photos taken:

    5. Out of the 192 photos, 34 were spoiled, so the number of usable photos initially is \(192 - 34 = 158\) photos.
    6. Guests were given the opportunity to take an additional 30 photos, so the total number of usable photos becomes \(158 + 30 = 188\) photos.

    ### Answer: 188

Expected answer: 188

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. Initially, the word had 47 letters.
    2. Due to a mistake, they removed 30 letters:
       \[
       47 - 30 = 17
       \]
    3. They then added 10 more letters:
       \[
       17 + 10 = 27
       \]
    4. In the next round, they removed 3 letters:
       \[
       27 - 3 = 24
       \]

    So, after the last deletion, the word had 24 letters.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's continue from where we left off:

    1. After the last deletion, the word had 24 letters.
    2. The learners then decided to add 39 more letters:
       \[
       24 + 39 = 63
       \]

    So, after the final addition, the word had 63 letters.

    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's break down the problem step by step with the new scenario:

    1. Initially, the word had 47 letters.
    2. Due to a mistake, they removed 30 letters:
       \[
       47 - 30 = 17
       \]
    3. Instead of adding 10 letters, they added \(10 - 16 = -6\) letters. This means they actually removed 6 more letters:
       \[
       17 - 6 = 11
       \]

    So, the total number of letters in the word after this change would be 11.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine Tommy's initial speed. The given speed is \( \frac{74}{37} \) miles per hour.

    \[ \frac{74}{37} = 2 \text{ miles per hour} \]

    Next, Tommy slows down by 3 miles per hour. Since his initial speed is 2 miles per hour, slowing down by 3 miles per hour would result in:

    \[ 2 - 3 = -1 \text{ miles per hour} \]

    However, a speed of -1 miles per hour is not physically meaningful in this context, as speed cannot be negative. Therefore, we need to reconsider the problem. If Tommy slows down by 3 miles per hour from his initial speed of 2 miles per hour, he would effectively stop moving (0 miles per hour) or move backward, which is not specified in the problem.

    Given this, let's assume the problem intends for Tommy to slow down to a minimum of 0 miles per hour (stopping) and then speed up again to his initial speed of 2 miles per hour.

    To find the average speed, we consider the time spent at each speed. If Tommy spends equal time at each speed (2 mph, 0 mph, and 2 mph), the average speed is calculated as follows:

    \[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \]

    Since the distance covered at 0 mph is zero, we only consider the time spent moving at 2 mph. If Tommy spends equal time at each speed, the average speed is:

    \[ \text{Average speed} = \frac{2 + 0 + 2}{3} = \frac{4}{3} \text{ miles per hour} \]

    ### Answer: \(\frac{4}{3}\) miles per hour

Expected answer: 1

Correct? No

🔗 Problem

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

GPT-4o:

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

    Given:
    - Number of sets = 40
    - Number of blocks per set = 16

    We calculate:
    \[ 40 \times 16 = 640 \]

    So, Liam has a total of 640 building blocks.

    ### Answer: 640

Expected answer: 640

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine how many building blocks Liam has left after giving away 25 to his friend, we need to subtract the number of blocks given away from the total number of blocks he originally had.

    Given:
    - Total number of building blocks = 640
    - Number of blocks given away = 25

    We calculate:
    \[ 640 - 25 = 615 \]

    So, Liam has 615 building blocks left.

    ### Answer: 615

Expected answer: 615

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To find the total number of building blocks Liam would have with 38 sets, we need to multiply the number of sets by the number of blocks in each set.

    Given:
    - Number of sets = 38
    - Number of blocks per set = 16

    We calculate:
    \[ 38 \times 16 \]

    Breaking it down:
    \[ 38 \times 16 = 38 \times (10 + 6) = (38 \times 10) + (38 \times 6) \]
    \[ 38 \times 10 = 380 \]
    \[ 38 \times 6 = 228 \]

    Adding these together:
    \[ 380 + 228 = 608 \]

    So, Liam would have a total of 608 building blocks.

    ### Answer: 608

Expected answer: 608

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's denote the number of pencils John bought as \( x \).

    According to the problem, the total number of pencils John has now is equal to the number he had plus 7. This can be written as:
    \[ 24 + x = 24 + 7 \]

    Simplifying the right-hand side:
    \[ 24 + x = 31 \]

    Since \( x \) represents the number of pencils he bought, we can solve for \( x \):
    \[ x = 31 - 24 \]
    \[ x = 7 \]

    Therefore, the total number of pencils John has now is:
    \[ 24 + 7 = 31 \]

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To find out how many pencils John has now, we need to add the number of pencils he received in the gift box to the total number of pencils he already had.

    John initially had 31 pencils. He received an additional 26 pencils. Therefore, the total number of pencils he has now is:
    \[ 31 + 26 \]

    Let's perform the addition:
    \[ 31 + 26 = 57 \]

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's denote the number of pencils John bought as \( x \).

    According to the problem, the total number of pencils John has now is equal to the number he had plus 7. This can be written as:
    \[ 2 + x = 2 + 7 \]

    Simplifying the right-hand side:
    \[ 2 + x = 9 \]

    Since \( x \) represents the number of pencils he bought, we can solve for \( x \):
    \[ x = 9 - 2 \]
    \[ x = 7 \]

    Therefore, the total number of pencils John has now is:
    \[ 2 + 7 = 9 \]

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the number of remaining snowfall days in City A. The snowfall lasts for 50 days, and it is currently 36 days in. Therefore, the remaining snowfall days are:
    \[ 50 - 36 = 14 \text{ days} \]

    Next, we need to find the average daily snowfall in City B. We know that in City B, it snows 98 inches every 14 days. Therefore, the average daily snowfall in City B is:
    \[ \frac{98 \text{ inches}}{14 \text{ days}} = 7 \text{ inches/day} \]

    The total expected snowfall in City A for the remaining days is the product of the remaining snowfall days and the average daily snowfall in City B:
    \[ 14 \text{ days} \times 7 \text{ inches/day} = 98 \text{ inches} \]

    Since the snow removal has managed to remove an amount of snow equal to the average daily snowfall in City B, which is 7 inches per day, the total amount of snow removed over the remaining 14 days is:
    \[ 14 \text{ days} \times 7 \text{ inches/day} = 98 \text{ inches} \]

    Therefore, the amount of snow left in City A after the snow removal is:
    \[ 98 \text{ inches} - 98 \text{ inches} = 0 \text{ inches} \]

    ### Answer: 0 inches

Expected answer: 91

Correct? No

🔗 Problem

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

GPT-4o:

    To determine the total number of rubies the pirate has after the second day, we need to calculate the number of rubies found on each day and then sum them up.

    1. On the first day, the pirate finds 28 rubies.
    2. On the second day, the pirate finds an amount equal to the first day's find plus an additional 21 rubies. Therefore, the number of rubies found on the second day is:
       \[
       28 + 21 = 49
       \]

    3. To find the total number of rubies after the second day, we add the rubies found on both days:
       \[
       28 + 49 = 77
       \]

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total number of rubies the pirate has after these events, we need to account for the rubies found and lost.

    1. The pirate initially has 77 rubies after the second day.
    2. He finds an additional 29 rubies in the third treasure chest:
       \[
       77 + 29 = 106
       \]

    3. He then loses 36 rubies while escaping:
       \[
       106 - 36 = 70
       \]

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total number of rubies the pirate has after the second day, given the corrected number of rubies found on the first day, we follow these steps:

    1. On the first day, the pirate finds 6 rubies.
    2. On the second day, the pirate finds an amount equal to the first day's find plus an additional 21 rubies. Therefore, the number of rubies found on the second day is:
       \[
       6 + 21 = 27
       \]

    3. To find the total number of rubies after the second day, we add the rubies found on both days:
       \[
       6 + 27 = 33
       \]

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

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

GPT-4o:

    To find the total inches of snowfall at the end of April, we need to sum up all the snowfall and then subtract the melted snow.

    1. Snowfall in January: 47 inches
    2. Snowfall in early February: 7 inches
    3. Snowfall on February 15th: 17 inches
    4. Snowfall in March: 48 inches
    5. Snowfall in early April: 31 inches
    6. Snow melted by the end of April: 27 inches

    First, we add up all the snowfall:
    \[ 47 + 7 + 17 + 48 + 31 = 150 \text{ inches} \]

    Next, we subtract the melted snow:
    \[ 150 - 27 = 123 \text{ inches} \]

    ### Answer: 123 inches

Expected answer: 123

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To find the total inches of snowfall at the end of April with the updated snowfall in April, we need to sum up all the snowfall and then subtract the melted snow.

    1. Snowfall in January: 47 inches
    2. Snowfall in early February: 7 inches
    3. Snowfall on February 15th: 17 inches
    4. Snowfall in March: 48 inches
    5. Updated snowfall in early April: 44 inches
    6. Snow melted by the end of April: 27 inches

    First, we add up all the snowfall:
    \[ 47 + 7 + 17 + 48 + 44 = 163 \text{ inches} \]

    Next, we subtract the melted snow:
    \[ 163 - 27 = 136 \text{ inches} \]

    ### Answer: 136 inches

Expected answer: 136

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the total number of balloons sold by the vendor, we need to calculate the number of balloons sold during the 11 hours and then add the additional balloons sold after the fair closed.

    First, calculate the number of balloons sold during the 11 hours:
    \[ 46 \text{ balloons/hour} \times 11 \text{ hours} = 506 \text{ balloons} \]

    Next, add the additional 31 balloons sold after the fair closed:
    \[ 506 \text{ balloons} + 31 \text{ balloons} = 537 \text{ balloons} \]

    ### Answer: 537

Expected answer: 537

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the combined score of Mary and John in the first game:
    \[ 31 + 39 = 70 \]

    Next, we add the 35 points increase in the second game to their combined score:
    \[ 70 + 35 = 105 \]

    In the special round, their score is multiplied by the difference between 27 and the number of cards left in the deck, which is 23:
    \[ 27 - 23 = 4 \]

    Therefore, their final score in the special round is:
    \[ 105 \times 4 = 420 \]

    ### Answer: 420

Expected answer: 420

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To find the final combined score after adding the two extra points, we start with the score from the special round:

    \[ 420 \]

    Next, we add the two extra points:

    \[ 420 + 2 = 422 \]

    ### Answer: 422

Expected answer: 422

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's determine the combined score of Mary and John in the first game:
    \[ 31 + 39 = 70 \]

    Next, we add the 50 points increase in the second game to their combined score:
    \[ 70 + 50 = 120 \]

    In the special round, their score is multiplied by the difference between 27 and the number of cards left in the deck, which is 23:
    \[ 27 - 23 = 4 \]

    Therefore, their final score in the special round is:
    \[ 120 \times 4 = 480 \]

    ### Answer: 480

Expected answer: 480

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's calculate the total number of chairs produced in the morning:
    - Upholstered seats: 17
    - Wooden seats: 18

    Total chairs produced in the morning:
    \[ 17 + 18 = 35 \]

    Next, the company produced another 29 chairs in the afternoon:
    \[ 35 + 29 = 64 \]

    They repeated this production in the evening, so they produced another 64 chairs in the evening:
    \[ 64 + 64 = 128 \]

    Now, let's calculate the total number of chairs produced throughout the day:
    \[ 35 (morning) + 29 (afternoon) + 64 (evening) = 128 \]

    Next, we need to account for the chairs given away to charity and used for quality testing:
    - Chairs given to charity: 48
    - Chairs used for quality testing: 7

    Total chairs given away or used:
    \[ 48 + 7 = 55 \]

    Finally, subtract the chairs given away or used from the total number of chairs produced:
    \[ 128 - 55 = 73 \]

    ### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    First, let's recalculate the total number of chairs produced in the morning with the updated number of wooden seats:
    - Upholstered seats: 17
    - Wooden seats: 15

    Total chairs produced in the morning:
    \[ 17 + 15 = 32 \]

    Next, the company produced another 29 chairs in the afternoon:
    \[ 32 + 29 = 61 \]

    They repeated this production in the evening, so they produced another 61 chairs in the evening:
    \[ 61 + 61 = 122 \]

    Now, let's calculate the total number of chairs produced throughout the day:
    \[ 32 (morning) + 29 (afternoon) + 61 (evening) = 122 \]

    Next, we need to account for the chairs given away to charity and used for quality testing:
    - Chairs given to charity: 48
    - Chairs used for quality testing: 7

    Total chairs given away or used:
    \[ 48 + 7 = 55 \]

    Finally, subtract the chairs given away or used from the total number of chairs produced:
    \[ 122 - 55 = 67 \]

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine how many more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym, we need to follow these steps:

    1. Calculate the total number of play components on the popular jungle gym.
    2. Calculate the total number of hooks used in the new jungle gym.
    3. Find the difference between the number of hooks and the number of play components.

    **Step 1: Calculate the total number of play components on the popular jungle gym.**
    The popular jungle gym has:
    - 46 monkey bars
    - 18 swinging ropes

    Total play components = 46 + 18 = 64

    **Step 2: Calculate the total number of hooks used in the new jungle gym.**
    The new jungle gym has:
    - 2 extra long zip lines
    - 20 regular zip lines

    Each zip line requires 31 special hooks.

    Total number of zip lines = 2 + 20 = 22

    Total number of hooks = 22 zip lines * 31 hooks per zip line = 22 * 31

    We can calculate 22 * 31 as follows:
    22 * 31 = 22 * (30 + 1) = 22 * 30 + 22 * 1 = 660 + 22 = 682

    **Step 3: Find the difference between the number of hooks and the number of play components.**
    Total number of hooks used in the new jungle gym = 682
    Total number of play components on the popular jungle gym = 64

    Difference = 682 - 64 = 618

    ### Answer: 618

Expected answer: 618

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to determine how much money John allocates per day from his savings. He has $168 and divides it evenly over 21 days:

    \[
    \frac{168}{21} = 8
    \]

    So, John allocates $8 per day.

    Next, we need to calculate the total amount of money John has after receiving additional funds. He gets $47 from his job and another amount which is the sum of $12 and $45:

    \[
    12 + 45 = 57
    \]

    Adding these amounts together:

    \[
    47 + 57 = 104
    \]

    Finally, we add this to his initial savings of $168:

    \[
    168 + 104 = 272
    \]

    ### Answer: 272

Expected answer: 112

Correct? No

🔗 Problem

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

GPT-4o:

    First, we need to determine how many boxes the robot can stack in 4 minutes. Since the robot can stack 32 boxes in 1 minute, in 4 minutes it will stack:
    \[ 32 \text{ boxes/minute} \times 4 \text{ minutes} = 128 \text{ boxes} \]

    Next, we add the 1 extra box that the robot picks up after working for 4 minutes:
    \[ 128 \text{ boxes} + 1 \text{ box} = 129 \text{ boxes} \]

    ### Answer: 129

Expected answer: 129

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we know from the previous calculation that the robot stacked a total of 129 boxes before taking a break.

    Next, we need to subtract the 21 boxes that the robot accidentally knocked over:
    \[ 129 \text{ boxes} - 21 \text{ boxes} = 108 \text{ boxes} \]

    ### Answer: 108

Expected answer: 108

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we determine how many boxes the robot can stack in 4 minutes. Since the robot can stack 32 boxes in 1 minute, in 4 minutes it will stack:
    \[ 32 \text{ boxes/minute} \times 4 \text{ minutes} = 128 \text{ boxes} \]

    Next, we add the 11 extra boxes that the robot picks up after working for 4 minutes:
    \[ 128 \text{ boxes} + 11 \text{ boxes} = 139 \text{ boxes} \]

    ### Answer: 139

Expected answer: 139

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to determine how many of the 26 cubs survived.

    Total cubs born: 26
    Cubs that did not survive: 17

    Number of surviving cubs:
    \[ 26 - 17 = 9 \]

    Next, we need to account for the 6 surviving tigers that moved to other territories.

    Surviving cubs: 9
    Cubs that moved to other territories: 6

    Number of tigers remaining in the female tiger's territory:
    \[ 9 - 6 = 3 \]

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we need to determine how many of the 24 cubs survived.

    Total cubs born: 24
    Cubs that did not survive: 17

    Number of surviving cubs:
    \[ 24 - 17 = 7 \]

    Next, we need to account for the 6 surviving tigers that moved to other territories.

    Surviving cubs: 7
    Cubs that moved to other territories: 6

    Number of tigers remaining in the female tiger's territory:
    \[ 7 - 6 = 1 \]

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. The colony originally started with 44 penguins.
    2. 39 new penguins joined the colony.
    3. 16 penguins left the colony to start a new one.
    4. Another group of 35 penguins joined the colony.

    First, we calculate the total number of penguins after the 39 new penguins joined:
    \[ 44 + 39 = 83 \]

    Next, we subtract the 16 penguins that left:
    \[ 83 - 16 = 67 \]

    Finally, we add the 35 new penguins that joined:
    \[ 67 + 35 = 102 \]

    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's break down the problem step by step:

    1. The colony originally started with 44 penguins.
    2. 39 new penguins joined the colony.
    3. 16 penguins left the colony to start a new one.
    4. Another group of 12 penguins joined the colony.

    First, we calculate the total number of penguins after the 39 new penguins joined:
    \[ 44 + 39 = 83 \]

    Next, we subtract the 16 penguins that left:
    \[ 83 - 16 = 67 \]

    Finally, we add the 12 new penguins that joined:
    \[ 67 + 12 = 79 \]

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the helicopter's increased speed. The original speed is 10 miles per minute. The helicopter increases its speed by 40 miles plus another 20 miles, which totals to an increase of 60 miles.

    So, the new speed of the helicopter is:
    \[ 10 \text{ miles per minute} + 60 \text{ miles per minute} = 70 \text{ miles per minute} \]

    Next, we need to find out how far the helicopter will travel in 12 minutes at this increased speed. We use the formula:
    \[ \text{Distance} = \text{Speed} \times \text{Time} \]

    Substituting the values, we get:
    \[ \text{Distance} = 70 \text{ miles per minute} \times 12 \text{ minutes} = 840 \text{ miles} \]

    ### Answer: 840 miles

Expected answer: 840

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's determine the helicopter's revised increased speed. The original speed is 10 miles per minute. The revised increase in speed is 2 miles per minute, and there is an additional bonus speed of 20 miles per minute.

    So, the new speed of the helicopter is:
    \[ 10 \text{ miles per minute} + 2 \text{ miles per minute} + 20 \text{ miles per minute} = 32 \text{ miles per minute} \]

    Next, we need to find out how far the helicopter will travel in 12 minutes at this revised speed. We use the formula:
    \[ \text{Distance} = \text{Speed} \times \text{Time} \]

    Substituting the values, we get:
    \[ \text{Distance} = 32 \text{ miles per minute} \times 12 \text{ minutes} = 384 \text{ miles} \]

    ### Answer: 384 miles

Expected answer: 384

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine how much more magnification is required for the new telescope compared to the existing one, we need to subtract the magnification power of the existing telescope from the magnification power of the new telescope.

    Given:
    - Magnification power of the existing telescope = 26
    - Magnification power of the new telescope = 41

    The difference in magnification power is:
    \[ 41 - 26 = 15 \]

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine how much more magnification is needed for the new telescope compared to the existing one, we need to subtract the corrected magnification power of the existing telescope from the magnification power of the new telescope.

    Given:
    - Corrected magnification power of the existing telescope = 16
    - Magnification power of the new telescope = 41

    The difference in magnification power is:
    \[ 41 - 16 = 25 \]

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's calculate how much Sophie earned on Monday. She worked for 2 hours, and she earns $18 per hour:
    \[ 18 \text{ dollars/hour} \times 2 \text{ hours} = 36 \text{ dollars} \]

    Next, Sophie spent $4 on ice cream and $4 on coffee:
    \[ 4 \text{ dollars} + 4 \text{ dollars} = 8 \text{ dollars} \]

    Subtracting her expenses from her earnings on Monday:
    \[ 36 \text{ dollars} - 8 \text{ dollars} = 28 \text{ dollars} \]

    Now, Sophie adds this leftover amount to her pay for her next single hour of work. She earns $18 for one hour:
    \[ 28 \text{ dollars} + 18 \text{ dollars} = 46 \text{ dollars} \]

    Finally, Sophie receives an additional $45 as a bonus from her grandmother:
    \[ 46 \text{ dollars} + 45 \text{ dollars} = 91 \text{ dollars} \]

    ### Answer: 91 dollars

Expected answer: 91

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's calculate how much Sophie earned on Monday with the new rate of $5 per hour. She worked for 2 hours:
    \[ 5 \text{ dollars/hour} \times 2 \text{ hours} = 10 \text{ dollars} \]

    Next, Sophie spent $4 on ice cream and $4 on coffee:
    \[ 4 \text{ dollars} + 4 \text{ dollars} = 8 \text{ dollars} \]

    Subtracting her expenses from her earnings on Monday:
    \[ 10 \text{ dollars} - 8 \text{ dollars} = 2 \text{ dollars} \]

    Now, Sophie adds this leftover amount to her pay for her next single hour of work. She earns $5 for one hour:
    \[ 2 \text{ dollars} + 5 \text{ dollars} = 7 \text{ dollars} \]

    Finally, Sophie receives an additional $45 as a bonus from her grandmother:
    \[ 7 \text{ dollars} + 45 \text{ dollars} = 52 \text{ dollars} \]

    ### Answer: 52 dollars

Expected answer: 52

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. **Initial Production:**
       - Beach towels: 30
       - Hand towels: 6
       - Total initial towels: \( 30 + 6 = 36 \)

    2. **Charity Giveaway:**
       - Towels given away: 7
       - Towels left after charity: \( 36 - 7 = 29 \)

    3. **Second Batch of Production:**
       - Additional towels produced: 14
       - Total towels after second batch: \( 29 + 14 = 43 \)

    4. **Special Batch Production:**
       - Special batch: 13 towels for each towel left after charity
       - Towels left after charity: 29
       - Special batch total: \( 13 \times 29 = 377 \)

    5. **Premium Collection:**
       - Deducted from special batch: 19
       - Premium collection after deduction: \( 377 - 19 = 358 \)

    6. **Damaged Towels:**
       - Damaged towels: 20
       - Premium collection after removing damaged towels: \( 358 - 20 = 338 \)

    7. **Final Deduction and Combination:**
       - Additional deduction from premium collection: 3
       - Remaining premium collection: \( 338 - 3 = 335 \)
       - Combined with total after second batch: \( 335 + 43 = 378 \)

    ### Answer: 378

Expected answer: 378

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the total number of energy crystals that the extraterrestrial being will have after receiving the additional 20 energy crystals.

    They currently have:
    \[ 50 \text{ energy crystals} \]

    They will receive:
    \[ 20 \text{ more energy crystals} \]

    So, the total number of energy crystals they will have is:
    \[ 50 + 20 = 70 \text{ energy crystals} \]

    Next, we need to add these energy crystals to the hidden compartment in the zorbcraft, which already contains:
    \[ 50 \text{ energy crystals} \]

    Thus, the total number of energy crystals in the compartment will be:
    \[ 70 + 50 = 120 \text{ energy crystals} \]

    Additionally, the compartment contains:
    \[ 6 \text{ lumino-gems} \]

    Therefore, the total number of items (energy crystals and lumino-gems) in the compartment will be:
    \[ 120 \text{ energy crystals} + 6 \text{ lumino-gems} = 126 \text{ items} \]

    ### Answer: 126

Expected answer: 126

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the number of new dinosaur types added to the park. We know that the park added 972 dinosaurs, and each section contained 27 dinosaurs. Therefore, the number of new dinosaur types is:

    \[ \text{Number of new dinosaur types} = \frac{972}{27} \]

    Performing the division:

    \[ \frac{972}{27} = 36 \]

    Next, we compare the number of Velociraptors (43) to the number of new dinosaur types (36). The difference between the number of Velociraptors and the number of new dinosaur types is:

    \[ \text{Difference} = 43 - 36 = 7 \]

    Each Velociraptor laid 7 new eggs that week. Therefore, the total number of eggs laid by the Velociraptors is:

    \[ \text{Total eggs} = 7 \times 7 = 49 \]

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Follow-up

Problem: Following up from the previous scenario, the park's wardens discovered that 46 of the eggs laid by the Velociraptors were not fertilized and not going to hatch. What is the number of Velociraptor eggs that are expected to successfully hatch?

GPT-4o:

    From the previous scenario, we know that the total number of eggs laid by the Velociraptors is 49. The wardens discovered that 46 of these eggs were not fertilized and will not hatch. Therefore, the number of Velociraptor eggs that are expected to successfully hatch is:

    \[ \text{Number of eggs expected to hatch} = 49 - 46 \]

    Performing the subtraction:

    \[ 49 - 46 = 3 \]

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Continuing off the previous scenario, the wardens realized that they had made a mistake in their calculations. Each box actually contained 46 dinosaurs, not 27. If this was the case, how many total eggs are expected to be laid by the Velociraptors this week?

GPT-4o:

    First, let's correct the calculation for the number of new dinosaur types added to the park. We know that the park added 972 dinosaurs, and each box actually contained 46 dinosaurs. Therefore, the number of new dinosaur types is:

    \[ \text{Number of new dinosaur types} = \frac{972}{46} \]

    Performing the division:

    \[ \frac{972}{46} \approx 21.13 \]

    Since the number of dinosaur types must be a whole number, we round down to the nearest whole number:

    \[ \text{Number of new dinosaur types} = 21 \]

    Next, we compare the number of Velociraptors (43) to the number of new dinosaur types (21). The difference between the number of Velociraptors and the number of new dinosaur types is:

    \[ \text{Difference} = 43 - 21 = 22 \]

    Each Velociraptor laid 7 new eggs that week. Therefore, the total number of eggs laid by the Velociraptors is:

    \[ \text{Total eggs} = 22 \times 7 = 154 \]

    ### Answer: 154

Expected answer: 3521/23

Correct? No

🔗 Problem

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

GPT-4o:

    To determine how many oranges are left in the bowl after Maria took 16 oranges, we need to subtract the number of oranges she took from the total number of oranges initially in the bowl.

    Initial number of oranges: 46
    Number of oranges taken by Maria: 16

    We perform the subtraction:
    \[ 46 - 16 = 30 \]

    So, there are 30 oranges left in the bowl.

    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    With the new information, we know that the bowl actually contained 49 oranges initially. After Maria took 16 oranges from the bowl, we need to subtract the number of oranges she took from the total number of oranges.

    Initial number of oranges: 49
    Number of oranges taken by Maria: 16

    We perform the subtraction:
    \[ 49 - 16 = 33 \]

    So, there are 33 oranges left in the bowl.

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the number of toothbrushes produced at the increased rate. The factory produces 308 toothbrushes every 7 minutes.

    To find the rate per minute, we divide:
    \[ \frac{308 \text{ toothbrushes}}{7 \text{ minutes}} = 44 \text{ toothbrushes per minute} \]

    Next, we calculate the total number of toothbrushes produced in 16 minutes at this increased rate:
    \[ 44 \text{ toothbrushes per minute} \times 16 \text{ minutes} = 704 \text{ toothbrushes} \]

    ### Answer: 704

Expected answer: 741

Correct? No

🔗 Problem

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

GPT-4o:

    To determine the total number of telescopes the research laboratory has at the end of the sixth month, we need to add the number of telescopes received each month to the initial number of telescopes.

    1. Initial number of telescopes: 39
    2. Telescopes added in the first month: 7
    3. Telescopes added in the second month: 17
    4. Telescopes added in the third month: 12
    5. Telescopes added in the fourth month: 18
    6. Telescopes added in the fifth month: 39
    7. Telescopes added in the sixth month: 19

    Now, we sum these values:

    \[
    39 + 7 + 17 + 12 + 18 + 39 + 19
    \]

    First, we add the initial number of telescopes and the first month's addition:

    \[
    39 + 7 = 46
    \]

    Next, we add the second month's addition:

    \[
    46 + 17 = 63
    \]

    Then, we add the third month's addition:

    \[
    63 + 12 = 75
    \]

    Next, we add the fourth month's addition:

    \[
    75 + 18 = 93
    \]

    Then, we add the fifth month's addition:

    \[
    93 + 39 = 132
    \]

    Finally, we add the sixth month's addition:

    \[
    132 + 19 = 151
    \]

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

    ### Answer: 151

Expected answer: 151

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the new total number of telescopes at the end of the sixth month, we need to correct the number of telescopes added in the third month from 12 to 29 and then recalculate the total.

    The initial calculation was:

    \[
    39 + 7 + 17 + 12 + 18 + 39 + 19 = 151
    \]

    We need to replace the 12 with 29 in the third month:

    \[
    39 + 7 + 17 + 29 + 18 + 39 + 19
    \]

    First, we add the initial number of telescopes and the first month's addition:

    \[
    39 + 7 = 46
    \]

    Next, we add the second month's addition:

    \[
    46 + 17 = 63
    \]

    Then, we add the corrected third month's addition:

    \[
    63 + 29 = 92
    \]

    Next, we add the fourth month's addition:

    \[
    92 + 18 = 110
    \]

    Then, we add the fifth month's addition:

    \[
    110 + 39 = 149
    \]

    Finally, we add the sixth month's addition:

    \[
    149 + 19 = 168
    \]

    Thus, with the corrected addition in the third month, the research laboratory has 168 telescopes at the end of the sixth month.

    ### Answer: 168

Expected answer: 168

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. **Initial count of utensils:**
       - Forks: 20
       - Knives: 23
       - Total initial utensils: \( 20 + 23 = 43 \)

    2. **Additional sets of cutlery:**
       - Each set contains 26 utensils.
       - Number of sets added: 28
       - Total utensils added: \( 28 \times 26 = 728 \)

    3. **Expected total count of utensils:**
       - Initial utensils: 43
       - Added utensils: 728
       - Expected total: \( 43 + 728 = 771 \)

    4. **Actual count of utensils:**
       - They found 7 more utensils than expected.
       - Actual total: \( 771 + 7 = 778 \)

    5. **Missing utensils:**
       - Number of missing utensils: 46
       - Actual count after accounting for missing utensils: \( 778 - 46 = 732 \)

    6. **Removing the original set of utensils:**
       - Original set: 20 forks + 23 knives = 43 utensils
       - Utensils left after removing the original set: \( 732 - 43 = 689 \)

    ### Answer: 689

Expected answer: 646

Correct? No

🔗 Problem

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

GPT-4o:

    First, let's determine how many blue roses are left after the storm. The unicorn originally had 36 blue roses, and 25 of them were destroyed.

    Number of blue roses left:
    \[ 36 - 25 = 11 \]

    Next, we add the remaining blue roses to the number of red roses to find the total number of roses left in the garden.

    Total number of roses left:
    \[ 50 \text{ (red roses)} + 11 \text{ (blue roses)} = 61 \]

    ### Answer: 61

Expected answer: 61

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    We previously determined that the unicorn had 61 roses left in her garden after the storm. Now, the unicorn plants 41 more pink roses.

    To find the total number of roses in the garden now, we add the 41 pink roses to the 61 roses already in the garden:

    \[ 61 + 41 = 102 \]

    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's determine how many blue roses are left after the storm. The unicorn originally had 38 blue roses, and 25 of them were destroyed.

    Number of blue roses left:
    \[ 38 - 25 = 13 \]

    Next, we add the remaining blue roses to the number of red roses to find the total number of roses left in the garden.

    Total number of roses left:
    \[ 50 \text{ (red roses)} + 13 \text{ (blue roses)} = 63 \]

    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. The factory produces 100 bottles every hour.
    2. Half of the hourly production is sent to one warehouse:
       \[
       \frac{100}{2} = 50 \text{ bottles}
       \]

    3. Triple the amount sent to the first warehouse is marked for shipping:
       \[
       3 \times 50 = 150 \text{ bottles}
       \]

    4. An additional 29 bottles are added to the shipment:
       \[
       150 + 29 = 179 \text{ bottles}
       \]

    5. By the end of the day, 28 more bottles are added to this shipment:
       \[
       179 + 28 = 207 \text{ bottles}
       \]

    Therefore, the total number of bottles marked for shipping is 207.

    ### Answer: 207

Expected answer: 207

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's reconsider the problem with the new information.

    1. The factory produces 100 bottles every hour.
    2. Half of the hourly production is sent to one warehouse:
       \[
       \frac{100}{2} = 50 \text{ bottles}
       \]

    3. Triple the amount sent to the first warehouse is marked for shipping:
       \[
       3 \times 50 = 150 \text{ bottles}
       \]

    4. An additional 29 bottles are added to the shipment:
       \[
       150 + 29 = 179 \text{ bottles}
       \]

    5. By the end of the day, instead of adding 28 more bottles, they added 50 more bottles:
       \[
       179 + 50 = 229 \text{ bottles}
       \]

    Therefore, the total number of bottles marked for shipping is 229.

    ### Answer: 229

Expected answer: 229

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. **Calculate the height of the window frame:**
       The height is given by the sum of \( \frac{925}{37} \) and 26 inches.
       \[
       \frac{925}{37} = 25
       \]
       Therefore, the height is:
       \[
       25 + 26 = 51 \text{ inches}
       \]

    2. **Calculate the width of the window:**
       The width is 11 inches greater than the height.
       \[
       \text{Width} = 51 + 11 = 62 \text{ inches}
       \]

    3. **Calculate the circumference of the window:**
       The circumference is the sum of twice the width and the height.
       \[
       \text{Circumference} = 2 \times \text{Width} + \text{Height}
       \]
       Substituting the values:
       \[
       \text{Circumference} = 2 \times 62 + 51 = 124 + 51 = 175 \text{ inches}
       \]

    4. **Calculate the size of the glass required:**
       The size of the glass is the circumference minus 32.
       \[
       \text{Size of the glass} = 175 - 32 = 143 \text{ inches}
       \]

    ### Answer: 143 inches

Expected answer: 143

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's recalculate the problem with the corrected height measurement.

    1. **Calculate the height of the window frame:**
       The height is given by the sum of \( \frac{925}{37} \) and 16 inches.
       \[
       \frac{925}{37} = 25
       \]
       Therefore, the height is:
       \[
       25 + 16 = 41 \text{ inches}
       \]

    2. **Calculate the width of the window:**
       The width is 11 inches greater than the height.
       \[
       \text{Width} = 41 + 11 = 52 \text{ inches}
       \]

    3. **Calculate the circumference of the window:**
       The circumference is the sum of twice the width and the height.
       \[
       \text{Circumference} = 2 \times \text{Width} + \text{Height}
       \]
       Substituting the values:
       \[
       \text{Circumference} = 2 \times 52 + 41 = 104 + 41 = 145 \text{ inches}
       \]

    4. **Calculate the size of the glass required:**
       The size of the glass is the circumference minus 32.
       \[
       \text{Size of the glass} = 145 - 32 = 113 \text{ inches}
       \]

    ### Answer: 113 inches

Expected answer: 113

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the number of gold coins each crew member receives. The pirate has 135 gold coins and divides them among 9 crew members:

    \[ \frac{135}{9} = 15 \]

    So, each crew member receives 15 gold coins.

    Next, let's determine the number of emeralds each crew member receives. The pirate has 323 emeralds and divides them among 19 crew members:

    \[ \frac{323}{19} = 17 \]

    So, each crew member receives 17 emeralds.

    Now, the pirate multiplies these two shares to find the total share per crew member:

    \[ 15 \times 17 = 255 \]

    However, he realizes he has overcounted the share by 14. Therefore, we need to subtract 14 from the calculated total share:

    \[ 255 - 14 = 241 \]

    ### Answer: 241

Expected answer: 241

Correct? Yes

🔗 Problem

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

GPT-4o:

    To solve this problem, we need to break it down into several steps:

    1. **Determine the weight of one piece of the chocolate bar:**
       Each chocolate bar weighs 176 grams and is divided into 8 pieces.
       \[
       \text{Weight of one piece} = \frac{176 \text{ grams}}{8} = 22 \text{ grams}
       \]

    2. **Calculate the total weight of ingredients for the second batch:**
       The second batch uses 38 grams of cocoa and the weight of one piece of chocolate (22 grams) plus an additional 26 grams of sugar.
       \[
       \text{Total weight for the second batch} = 38 \text{ grams (cocoa)} + 22 \text{ grams (one piece of chocolate)} + 26 \text{ grams (sugar)} = 86 \text{ grams}
       \]

    3. **Calculate the total weight of ingredients for the third batch:**
       The third batch uses 38 grams of cocoa and 18 grams of milk.
       \[
       \text{Total weight for the third batch} = 38 \text{ grams (cocoa)} + 18 \text{ grams (milk)} = 56 \text{ grams}
       \]

    4. **Find the difference in the total weight of ingredients between the second and third batch:**
       \[
       \text{Difference} = 86 \text{ grams} - 56 \text{ grams} = 30 \text{ grams}
       \]

    ### Answer: 30 grams

Expected answer: 14

Correct? No

🔗 Problem

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

GPT-4o:

    First, let's determine the number of green colored pencils Jenny has. We know she has 9 red colored pencils and the number of green colored pencils is given by:

    \[ \text{Number of green colored pencils} = 38 - \text{Number of red colored pencils} \]

    Substituting the number of red colored pencils:

    \[ \text{Number of green colored pencils} = 38 - 9 = 29 \]

    Next, we need to find the total number of times she used all the pencils, which is the product of the number of red and green colored pencils:

    \[ \text{Total number of times used} = \text{Number of red colored pencils} \times \text{Number of green colored pencils} \]

    Substituting the values:

    \[ \text{Total number of times used} = 9 \times 29 \]

    Now, we calculate the product:

    \[ 9 \times 29 = 261 \]

    ### Answer: 261

Expected answer: 261

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's determine the number of times Jenny used her blue colored pencils. This is given by the sum of 31 and 16:

    \[ \text{Number of times used blue colored pencils} = 31 + 16 \]

    Calculating the sum:

    \[ 31 + 16 = 47 \]

    From the previous problem, we know that Jenny used her red and green colored pencils a total of 261 times. Now, we need to find the total number of times she used all her pencils by adding the times she used her blue pencils to the times she used her red and green pencils:

    \[ \text{Total number of times used all pencils} = \text{Number of times used red and green pencils} + \text{Number of times used blue pencils} \]

    Substituting the values:

    \[ \text{Total number of times used all pencils} = 261 + 47 \]

    Calculating the sum:

    \[ 261 + 47 = 308 \]

    ### Answer: 308

Expected answer: 308

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's determine the number of green colored pencils Jenny has with the updated number of red colored pencils. We know she now has 12 red colored pencils and the number of green colored pencils is given by:

    \[ \text{Number of green colored pencils} = 38 - \text{Number of red colored pencils} \]

    Substituting the updated number of red colored pencils:

    \[ \text{Number of green colored pencils} = 38 - 12 = 26 \]

    Next, we need to find the total number of times she used all the pencils, which is the product of the number of red and green colored pencils:

    \[ \text{Total number of times used} = \text{Number of red colored pencils} \times \text{Number of green colored pencils} \]

    Substituting the updated values:

    \[ \text{Total number of times used} = 12 \times 26 \]

    Now, we calculate the product:

    \[ 12 \times 26 = 312 \]

    ### Answer: 312

Expected answer: 312

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the total number of connections in the strangely built robot, we need to follow these steps:

    1. Calculate the standard number of connections for a robot.
    2. Adjust for the one less connection.
    3. Add the extra 41 connections.

    First, calculate the standard number of connections:
    Each robot has 17 transistors, and each transistor has 16 connections.
    \[ \text{Standard connections} = 17 \times 16 = 272 \]

    Next, account for the one less connection:
    \[ \text{Connections after mistake} = 272 - 1 = 271 \]

    Finally, add the extra 41 connections:
    \[ \text{Total connections in the strangely built robot} = 271 + 41 = 312 \]

    ### Answer: 312

Expected answer: 312

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    To determine the total number of connections in this second strangely built robot, we will follow similar steps as before:

    1. Calculate the standard number of connections for a robot.
    2. Adjust for the one less connection.
    3. Add the extra 13 connections.

    First, calculate the standard number of connections:
    Each robot has 17 transistors, and each transistor has 16 connections.
    \[ \text{Standard connections} = 17 \times 16 = 272 \]

    Next, account for the one less connection:
    \[ \text{Connections after mistake} = 272 - 1 = 271 \]

    Finally, add the extra 13 connections:
    \[ \text{Total connections in the second strangely built robot} = 271 + 13 = 284 \]

    ### Answer: 284

Expected answer: 284

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's calculate the total number of kids on a usual busy day. There are 24 kids on each of the 31 attractions:

    \[ 24 \times 31 = 744 \]

    Next, we subtract the number of kids on the rainy day, which is 6:

    \[ 744 - 6 = 738 \]

    Then, we subtract the number of squirrels, which is 12:

    \[ 738 - 12 = 726 \]

    ### Answer: 726

Expected answer: 726

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's calculate the total number of kids on a usual busy day with 6 attractions. There are 24 kids on each of the 6 attractions:

    \[ 24 \times 6 = 144 \]

    Next, we subtract the number of kids on the rainy day, which is 6:

    \[ 144 - 6 = 138 \]

    Then, we subtract the number of squirrels, which is 12:

    \[ 138 - 12 = 126 \]

    ### Answer: 126

Expected answer: 126

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step according to the given formula.

    1. **Subtract 5 from 23:**
       \[
       23 - 5 = 18
       \]

    2. **Multiply the result by the number of magical chants (6):**
       \[
       18 \times 6 = 108
       \]

    3. **Multiply the result by 7:**
       \[
       108 \times 7 = 756
       \]

    4. **Multiply the result by 1 (which does not change the value):**
       \[
       756 \times 1 = 756
       \]

    5. **Subtract 48 from the result:**
       \[
       756 - 48 = 708
       \]

    Thus, the power of the ring's magic will be:
    ### Answer: 708

Expected answer: 708

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's follow the modified steps of the magical formula:

    1. **Subtract 5 from 8:**
       \[
       8 - 5 = 3
       \]

    2. **Multiply the result by the number of magical chants (6):**
       \[
       3 \times 6 = 18
       \]

    3. **Multiply the result by 7:**
       \[
       18 \times 7 = 126
       \]

    4. **Multiply the result by 1 (which does not change the value):**
       \[
       126 \times 1 = 126
       \]

    5. **Subtract 48 from the result:**
       \[
       126 - 48 = 78
       \]

    Thus, with the adjustment in the initial subtraction, the final power of the ring's magic will be:
    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the total number of cookies made, we need to multiply the number of cookies the child can make in one hour by the total number of hours spent making cookies.

    The child can make 15 cookies in one hour. If the child spends 24 hours making cookies, we calculate the total number of cookies as follows:

    \[
    15 \text{ cookies/hour} \times 24 \text{ hours} = 360 \text{ cookies}
    \]

    ### Answer: 360

Expected answer: 360

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total number of cookies made at the new production rate, we need to multiply the number of cookies the child can make in one hour by the total number of hours spent making cookies.

    The child can now make 40 cookies in one hour. If the child spends 24 hours making cookies, we calculate the total number of cookies as follows:

    \[
    40 \text{ cookies/hour} \times 24 \text{ hours} = 960 \text{ cookies}
    \]

    ### Answer: 960

Expected answer: 960

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. **Initial Stock:**
       - The silversmith initially has 16 silver rings.

    2. **After Creation:**
       - He creates more rings and ends up with 28 silver rings and 24 gold rings.
       - Total rings after creation: \( 28 \text{ (silver)} + 24 \text{ (gold)} = 52 \text{ rings} \).

    3. **Subtracting Original Stock:**
       - He subtracts the number of his original stock of silver rings (16).
       - Rings left after subtraction: \( 52 - 16 = 36 \text{ rings} \).

    4. **After Trading:**
       - He ends up with 21 rings less than what he had after the creation stage.
       - Rings after trading: \( 36 - 21 = 15 \text{ rings} \).

    5. **Special Order:**
       - He creates 26 times the number of rings he had left.
       - Rings created for special order: \( 15 \times 26 = 390 \text{ rings} \).

    6. **Additional Rings:**
       - He also made 7 platinum rings and 47 bronze rings.
       - Total additional rings: \( 7 \text{ (platinum)} + 47 \text{ (bronze)} = 54 \text{ rings} \).

    7. **Total Rings Now:**
       - Total rings now: \( 15 \text{ (remaining after trading)} + 390 \text{ (special order)} + 54 \text{ (additional)} = 459 \text{ rings} \).

    ### Answer: 459

Expected answer: 444

Correct? No

🔗 Problem

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

GPT-4o:

    First, let's calculate the number of flowers that grow properly in each row. Since each row contains 40 flowers and only half of them grow properly, we have:
    \[ \text{Flowers per row that grow properly} = \frac{40}{2} = 20 \]

    Next, we need to find the total number of flowers that grow properly in all 19 rows:
    \[ \text{Total flowers in rows} = 20 \times 19 = 380 \]

    Now, let's calculate the total number of flowers planted in the small corners. The gardener plants 18 bulbs in one corner and 48 in another corner:
    \[ \text{Total flowers in corners} = 18 + 48 = 66 \]

    Finally, we find the difference between the total number of flowers in the rows and the small corners:
    \[ \text{Difference} = 380 - 66 = 314 \]

    ### Answer: 314

Expected answer: 314

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine how many eggs the bird laid this month. The bird laid 4 times the average number of eggs, and the average is 11 eggs per month.

    \[
    4 \times 11 = 44
    \]

    So, the bird laid 44 eggs this month.

    Next, we need to add the additional 40 eggs distributed by the forest welcoming committee.

    \[
    44 + 40 = 84
    \]

    Therefore, the total number of eggs in the forest this month is 84.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's determine how many eggs were added to each nest. The rangers found 216 eggs and divided them between 18 nests.

    \[
    \frac{216}{18} = 12
    \]

    So, each nest received 12 additional eggs.

    Next, we need to add these 216 eggs to the initial number of eggs in the forest, which was 84.

    \[
    84 + 216 = 300
    \]

    Therefore, the total number of eggs in the forest now is 300.

    ### Answer: 300

Expected answer: 96

Correct? No

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. Initially, you have 41 drops of red paint.
    2. You add 13 drops of white paint.
    3. You add the same amount of red paint as before, which is 41 drops.

    So, the total amount of paint in the mixture is:
    \[ 41 \text{ drops (red)} + 13 \text{ drops (white)} + 41 \text{ drops (red)} = 95 \text{ drops} \]

    4. You take a sample of 34 drops from this mixture.

    Now, the remaining amount of paint in the original mixture is:
    \[ 95 \text{ drops} - 34 \text{ drops} = 61 \text{ drops} \]

    5. You add the 34-drop sample to a new mixture. Initially, the new mixture has 0 drops, so after adding the sample, it has:
    \[ 34 \text{ drops} \]

    6. You then take away the same amount of the 34-drop sample that you took originally. This means you take away 34 drops from the new mixture.

    So, the new mixture now has:
    \[ 34 \text{ drops} - 34 \text{ drops} = 0 \text{ drops} \]

    ### Answer: 0 drops

Expected answer: 95

Correct? No

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. **Calculate the difference in toy cars made on Monday and Tuesday:**
       \[
       32 - 27 = 5
       \]

    2. **Multiply the difference by 49 to determine the weekly goal:**
       \[
       5 \times 49 = 245
       \]

    3. **Calculate the total number of toy cars prepared by the staff members in one day:**
       \[
       12 \text{ staff members} \times 9 \text{ toy cars per member} = 108 \text{ toy cars}
       \]

    4. **Add 45 to the total number of toy cars prepared by staff members:**
       \[
       108 + 45 = 153
       \]

    5. **Add the 31 additional toy cars prepared on Friday:**
       \[
       153 + 31 = 184
       \]

    6. **Add the weekly goal to the total number of toy cars prepared by staff members and the additional toy cars:**
       \[
       245 + 184 = 429
       \]

    ### Answer: 429

Expected answer: 429

Correct? Yes

🔗 Follow-up

Problem: After their first week, the small toy car factory decided to change their production strategy. The staff now produce only 6 toy cars each day instead of 9. They still add 45 to the total number of toy cars prepared by the staff members. Keeping their weekly goal constant and their Friday production same as last week, how many toy cars in total were made this week?

GPT-4o:

    Let's break down the problem step by step with the new production strategy:

    1. **Calculate the total number of toy cars prepared by the staff members in one day with the new production rate:**
       \[
       12 \text{ staff members} \times 6 \text{ toy cars per member} = 72 \text{ toy cars}
       \]

    2. **Add 45 to the total number of toy cars prepared by staff members:**
       \[
       72 + 45 = 117
       \]

    3. **Add the 31 additional toy cars prepared on Friday:**
       \[
       117 + 31 = 148
       \]

    4. **Add the weekly goal (which remains constant at 245) to the total number of toy cars prepared by staff members and the additional toy cars:**
       \[
       245 + 148 = 393
       \]

    ### Answer: 393

Expected answer: 393

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine how much the farmer would earn, we need to calculate the number of carrots harvested over the threshold of 44 and then multiply that by the earnings per carrot.

    1. The farmer harvested 45 carrots in one day.
    2. The threshold is 44 carrots.
    3. The number of carrots over the threshold is \( 45 - 44 = 1 \) carrot.
    4. The earnings per carrot over the threshold is $29.

    Now, we multiply the number of carrots over the threshold by the earnings per carrot:
    \[ 1 \text{ carrot} \times 29 \text{ dollars/carrot} = 29 \text{ dollars} \]

    ### Answer: 29 dollars.

Expected answer: 29

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the farmer's new earnings with the updated market rate, we follow a similar process as before:

    1. The farmer harvested 45 carrots in one day.
    2. The threshold is 44 carrots.
    3. The number of carrots over the threshold is \( 45 - 44 = 1 \) carrot.
    4. The new earnings per carrot over the threshold is $41.

    Now, we multiply the number of carrots over the threshold by the new earnings per carrot:
    \[ 1 \text{ carrot} \times 41 \text{ dollars/carrot} = 41 \text{ dollars} \]

    ### Answer: 41 dollars.

Expected answer: 41

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. **Initial Pairs of Socks:**
       The worker started with 26 pairs of socks.

    2. **Pairs of Socks Torn and Discarded:**
       50 pairs of socks got torn and had to be discarded.

    3. **Pairs of Socks Produced:**
       The worker produced 36 more pairs to replace the torn ones.

    4. **Net Pairs of Socks:**
       To find the net pairs of socks, we calculate:
       \[
       \text{Net pairs} = (\text{Initial pairs} - \text{Torn pairs}) + \text{Produced pairs}
       \]
       \[
       \text{Net pairs} = (26 - 50) + 36
       \]
       \[
       \text{Net pairs} = -24 + 36
       \]
       \[
       \text{Net pairs} = 12
       \]

    5. **Earnings from Sock Sales:**
       Each pair of socks is sold for $37. Therefore, the total earnings from selling 12 pairs of socks is:
       \[
       \text{Earnings} = 12 \times 37
       \]
       \[
       \text{Earnings} = 444
       \]

    6. **Additional Money Found:**
       The worker found a $13 bill on the floor.

    7. **Total Money:**
       To find the total money the worker has, we add the earnings from the sock sales to the $13 found:
       \[
       \text{Total money} = 444 + 13
       \]
       \[
       \text{Total money} = 457
       \]

    ### Answer: 457

Expected answer: 457

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's update the calculation based on the new selling price of $40 per pair of socks.

    1. **Net Pairs of Socks:**
       From the previous calculation, we know the worker has 12 pairs of socks.

    2. **Earnings from Sock Sales:**
       Each pair of socks is now sold for $40. Therefore, the total earnings from selling 12 pairs of socks is:
       \[
       \text{Earnings} = 12 \times 40
       \]
       \[
       \text{Earnings} = 480
       \]

    3. **Additional Money Found:**
       The worker found a $13 bill on the floor.

    4. **Total Money:**
       To find the total money the worker has, we add the earnings from the sock sales to the $13 found:
       \[
       \text{Total money} = 480 + 13
       \]
       \[
       \text{Total money} = 493
       \]

    ### Answer: 493

Expected answer: 493

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. The jewelry maker starts with 38 beads.
    2. She removes a number of beads equal to dividing 560 by 40:
       \[
       \frac{560}{40} = 14
       \]
       So, she removes 14 beads.
    3. After removing 14 beads, the number of beads left is:
       \[
       38 - 14 = 24
       \]
    4. She thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. So, the corrected initial count is:
       \[
       38 + 15 = 53
       \]
    5. After removing 14 beads from the corrected initial count:
       \[
       53 - 14 = 39
       \]
    6. She then adds one more bead:
       \[
       39 + 1 = 40
       \]
    7. Finally, she adds 39 more beads:
       \[
       40 + 39 = 79
       \]

    So, the jewelry maker has 79 beads now.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's continue from where we left off:

    1. The jewelry maker currently has 79 beads.
    2. She removes the same number of beads she removed earlier, which is:
       \[
       \frac{560}{40} = 14
       \]
       So, she removes 14 beads.
    3. After removing 14 beads, the number of beads left is:
       \[
       79 - 14 = 65
       \]
    4. She then finds a small box with an additional 20 beads and decides to add them to the bracelet:
       \[
       65 + 20 = 85
       \]

    So, the jewelry maker now has 85 beads on her bracelet.

    ### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's break down the problem step by step for this new scenario:

    1. The jewelry maker starts with 50 beads.
    2. She removes a number of beads equal to dividing 560 by 40:
       \[
       \frac{560}{40} = 14
       \]
       So, she removes 14 beads.
    3. After removing 14 beads, the number of beads left is:
       \[
       50 - 14 = 36
       \]
    4. She thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. So, the corrected initial count is:
       \[
       50 + 15 = 65
       \]
    5. After removing 14 beads from the corrected initial count:
       \[
       65 - 14 = 51
       \]
    6. She then adds one more bead:
       \[
       51 + 1 = 52
       \]
    7. Finally, she adds 39 more beads:
       \[
       52 + 39 = 91
       \]

    So, the jewelry maker has 91 beads now.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. Initially, there are 30 sharks in the aquarium.
    2. 23 sharks are moved to a different area, so the number of sharks left is:
       \[
       30 - 23 = 7
       \]

    3. An additional 14 sharks are brought in, so the new total is:
       \[
       7 + 14 = 21
       \]

    4. Then, 3 more sharks are moved to the other area, so the number of sharks left is:
       \[
       21 - 3 = 18
       \]

    5. The number of sharks is then multiplied by 43 for the research study:
       \[
       18 \times 43 = 774
       \]

    ### Answer: 774

Expected answer: 774

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's start from the final number of sharks we calculated previously, which was 18.

    1. The number of sharks is 18.
    2. Instead of multiplying by 43, the scientists multiplied it by 4:
       \[
       18 \times 4 = 72
       \]

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the number of gold coins earned in the first two rounds.

    Each round, you collect 150 points, which are then divided by 10 to determine the number of gold coins:
    \[ \text{Gold coins per round} = \frac{150}{10} = 15 \]

    Since you played two rounds:
    \[ \text{Total gold coins after two rounds} = 15 \times 2 = 30 \]

    In the third round, you collected 28 emeralds and 14 sapphires. However, you had to sacrifice the same amount of gold coins as you earned in the first two rounds, which is 30 gold coins.

    Since the problem does not specify that the sacrifice of gold coins affects the number of emeralds and sapphires directly, we assume the number of emeralds and sapphires remains unchanged.

    Thus, after the third round, you still have:
    \[ \text{Emeralds} = 28 \]
    \[ \text{Sapphires} = 14 \]

    ### Answer: 28 emeralds and 14 sapphires

Expected answer: 12

Correct? No

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step to determine the total number of containers the train is carrying at the end.

    1. **Daily Load**: The train carries 15 containers every day.
    2. **Friday Load**: On Fridays, the train carries an extra 12 containers. Therefore, on Friday, the total load is:
       \[
       15 + 12 = 27 \text{ containers}
       \]
    3. **Monday Load**: The following Monday, the train carries an additional 26 containers. Therefore, on Monday, the total load is:
       \[
       15 + 26 = 41 \text{ containers}
       \]
    4. **Wednesday Load**: On Wednesday, the load decreases by 32 containers. Therefore, on Wednesday, the total load is:
       \[
       15 - 32 = -17 \text{ containers}
       \]
       Since a negative load is not practical, we assume the train cannot carry a negative number of containers. Thus, the load on Wednesday is 0 containers.
    5. **Additional Containers**: For a particular trip, the train is coupled with 2 more containers. Therefore, the load becomes:
       \[
       15 + 2 = 17 \text{ containers}
       \]
    6. **After One Stop**: After making one stop, an additional 48 containers are loaded onto the train. Therefore, the total load becomes:
       \[
       17 + 48 = 65 \text{ containers}
       \]

    ### Answer: 65

Expected answer: 71

Correct? No

🔗 Problem

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

GPT-4o:

    First, let's determine the total number of lemons harvested by the farmer in one day. The farmer harvested 39 lemons in the morning and 33 lemons in the afternoon.

    Total lemons harvested in one day:
    \[ 39 + 33 = 72 \]

    Next, we account for the 12 lemons that got spoiled by the end of the day. We subtract the spoiled lemons from the total harvested lemons:

    Lemons remaining after spoilage:
    \[ 72 - 12 = 60 \]

    The next day, the farmer used 23 lemons to make lemonade. We subtract these lemons from the remaining lemons:

    Lemons left after making lemonade:
    \[ 60 - 23 = 37 \]

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's start with the total number of lemons harvested by the farmer in one day, which is 72 lemons (39 in the morning and 33 in the afternoon).

    If 24 lemons got spoiled instead of 12, we need to subtract the spoiled lemons from the total harvested lemons:

    Lemons remaining after spoilage:
    \[ 72 - 24 = 48 \]

    The next day, the farmer used 23 lemons to make lemonade. We subtract these lemons from the remaining lemons:

    Lemons left after making lemonade:
    \[ 48 - 23 = 25 \]

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the total number of nectar droplets the bee collects in an hour, we first calculate the number of nectar droplets collected from the flowers.

    The bee lands on 33 flowers, and it collects 15 nectar droplets from each flower. Therefore, the total number of nectar droplets collected from the flowers is:
    \[ 33 \text{ flowers} \times 15 \text{ nectar droplets/flower} = 495 \text{ nectar droplets} \]

    Next, we add the nectar droplets the bee started with to the total number of nectar droplets collected:
    \[ 495 \text{ nectar droplets} + 26 \text{ nectar droplets} = 521 \text{ nectar droplets} \]

    ### Answer: 521

Expected answer: 521

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total number of nectar droplets the bee would have after an hour, we first calculate the number of nectar droplets collected from the flowers.

    The bee lands on 33 flowers, and it collects 15 nectar droplets from each flower. Therefore, the total number of nectar droplets collected from the flowers is:
    \[ 33 \text{ flowers} \times 15 \text{ nectar droplets/flower} = 495 \text{ nectar droplets} \]

    Next, we add the nectar droplets the bee started with (49 nectar droplets) to the total number of nectar droplets collected:
    \[ 495 \text{ nectar droplets} + 49 \text{ nectar droplets} = 544 \text{ nectar droplets} \]

    ### Answer: 544

Expected answer: 544

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. **Initial Production Rate:**
       The company initially produces 36 marshmallow packs per hour.

    2. **Additional Daily Production:**
       They add an extra 350 marshmallows to their daily production, distributed evenly over 7 hours.
       \[
       \text{Additional packs per hour} = \frac{350}{7} = 50 \text{ marshmallows per hour}
       \]

    3. **Increased Hourly Production:**
       They also add another 6 marshmallow packs to their hourly production.
       \[
       \text{Total increase per hour} = 50 + 6 = 56 \text{ marshmallow packs per hour}
       \]

    4. **Goal Production Rate:**
       The goal production rate is the initial rate plus the total increase.
       \[
       \text{Goal production rate} = 36 + 56 = 92 \text{ marshmallow packs per hour}
       \]

    5. **Actual Production Rate:**
       Due to limitations, they produce 43 less packs per hour than their goal.
       \[
       \text{Actual production rate} = 92 - 43 = 49 \text{ marshmallow packs per hour}
       \]

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    Let's break down the problem step by step with the new adjustments.

    1. **Initial Production Rate:**
       The company initially produces 36 marshmallow packs per hour.

    2. **Additional Daily Production:**
       They add an extra 350 marshmallows to their daily production, distributed evenly over 7 hours.
       \[
       \text{Additional packs per hour} = \frac{350}{7} = 50 \text{ marshmallows per hour}
       \]

    3. **Increased Hourly Production:**
       They now add an extra 4 marshmallow packs per hour to their hourly production.
       \[
       \text{Total increase per hour} = 50 + 4 = 54 \text{ marshmallow packs per hour}
       \]

    4. **Goal Production Rate:**
       The goal production rate is the initial rate plus the total increase.
       \[
       \text{Goal production rate} = 36 + 54 = 90 \text{ marshmallow packs per hour}
       \]

    5. **Actual Production Rate:**
       Due to limitations, they produce 43 less packs per hour than their goal.
       \[
       \text{Actual production rate} = 90 - 43 = 47 \text{ marshmallow packs per hour}
       \]

    ### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's find the daily average of glimmering lights produced by the first wizard.

    The first wizard produces 882 glimmering lights over 21 days. To find the daily average, we divide the total number of lights by the number of days:
    \[
    \text{Daily average of first wizard} = \frac{882}{21}
    \]
    \[
    \frac{882}{21} = 42
    \]

    Next, let's find the daily average of glowing orbs produced by the second wizard.

    The second wizard produces 460 glowing orbs over 20 days. To find the daily average, we divide the total number of orbs by the number of days:
    \[
    \text{Daily average of second wizard} = \frac{460}{20}
    \]
    \[
    \frac{460}{20} = 23
    \]

    Now, we need to find the difference in their daily averages:
    \[
    \text{Difference in daily averages} = 42 - 23 = 19
    \]

    Finally, we calculate the magical constant 'n' by multiplying the difference in their daily averages by the second wizard's daily average:
    \[
    n = 19 \times 23
    \]
    \[
    n = 437
    \]

    ### Answer: 437

Expected answer: 437

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the count of various components used in creating the limited edition candy, we need to follow these steps:

    1. Calculate the total number of base ingredients in the Special Mix:
       - Sugar Rush: 14 base ingredients
       - Candy Twirl: 25 base ingredients
       - Jawbreaker: 16 base ingredients
       - Extra goodies: 43

       Total base ingredients in the Special Mix:
       \[
       14 + 25 + 16 + 43 = 98
       \]

    2. Add the uniquely crafted sweets to the Special Mix:
       - Uniquely crafted sweets: 7

       Total after adding uniquely crafted sweets:
       \[
       98 + 7 = 105
       \]

    3. Add one of each flavor from the 20 different flavored candies:
       - Since we are excluding 19 of them, we add only 1 flavor.

       Total after adding one flavor:
       \[
       105 + 1 = 106
       \]

    4. Remove the 3 experimental sweets:
       - Experimental sweets to be removed: 3

       Total after removing the experimental sweets:
       \[
       106 - 3 = 103
       \]

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

    ### Answer: 103

Expected answer: 103

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the new count of various components used in creating the limited edition candy, we need to follow the same steps as before, but with the updated number of base ingredients for the Jawbreaker.

    1. Calculate the total number of base ingredients in the Special Mix with the updated Jawbreaker ingredients:
       - Sugar Rush: 14 base ingredients
       - Candy Twirl: 25 base ingredients
       - Jawbreaker: 23 base ingredients (updated)
       - Extra goodies: 43

       Total base ingredients in the Special Mix:
       \[
       14 + 25 + 23 + 43 = 105
       \]

    2. Add the uniquely crafted sweets to the Special Mix:
       - Uniquely crafted sweets: 7

       Total after adding uniquely crafted sweets:
       \[
       105 + 7 = 112
       \]

    3. Add one of each flavor from the 20 different flavored candies:
       - Since we are excluding 19 of them, we add only 1 flavor.

       Total after adding one flavor:
       \[
       112 + 1 = 113
       \]

    4. Remove the 3 experimental sweets:
       - Experimental sweets to be removed: 3

       Total after removing the experimental sweets:
       \[
       113 - 3 = 110
       \]

    Therefore, the count of various components used in creating the limited edition candy with the updated Jawbreaker ingredients is 110.

    ### Answer: 110

Expected answer: 110

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the total number of officers on duty by the end of the day, we need to follow these steps:

    1. Calculate the initial total number of officers assigned to all districts:
       \[
       32 \text{ (north)} + 33 \text{ (south)} + 29 \text{ (downtown)} = 94 \text{ officers}
       \]

    2. Subtract the number of officers transferred from the downtown district:
       \[
       29 \text{ (downtown)} - 21 \text{ (transferred)} = 8 \text{ officers remaining in downtown}
       \]

    3. Calculate the new total number of officers after the transfer:
       \[
       32 \text{ (north)} + 33 \text{ (south)} + 8 \text{ (remaining downtown)} = 73 \text{ officers}
       \]

    4. Add the 39 officers who were added to the remaining duty force:
       \[
       73 \text{ (current total)} + 39 \text{ (added)} = 112 \text{ officers}
       \]

    5. Add the 14 officers who joined later that day:
       \[
       112 \text{ (current total)} + 14 \text{ (joined later)} = 126 \text{ officers}
       \]

    Thus, the total number of officers on duty by the end of the day is:
    ### Answer: 126

Expected answer: 126

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total number of officers on duty by the end of the day in this amended scenario, we need to follow these steps:

    1. Calculate the initial total number of officers assigned to all districts:
       \[
       32 \text{ (north)} + 33 \text{ (south)} + 29 \text{ (downtown)} = 94 \text{ officers}
       \]

    2. Subtract the number of officers transferred from the total force:
       \[
       94 \text{ (initial total)} - 21 \text{ (transferred)} = 73 \text{ officers remaining}
       \]

    3. Add the 22 officers who were added for a different assignment:
       \[
       73 \text{ (current total)} + 22 \text{ (added)} = 95 \text{ officers}
       \]

    4. Add the 14 officers who joined later that day:
       \[
       95 \text{ (current total)} + 14 \text{ (joined later)} = 109 \text{ officers}
       \]

    Thus, the total number of officers on duty by the end of the day in this amended scenario is:
    ### Answer: 109

Expected answer: 109

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. Initially, the distance between the Moon and the Earth is 36 million kilometers.
    2. The distance decreases by 19 million kilometers:
       \[
       36 - 19 = 17 \text{ million kilometers}
       \]
    3. Then, the distance increases by 11 million kilometers:
       \[
       17 + 11 = 28 \text{ million kilometers}
       \]
    4. We need to find the value of the expression: (distance in millions of kilometers) times 19 minus 27.
       \[
       28 \times 19 - 27
       \]

    First, calculate \( 28 \times 19 \):
    \[
    28 \times 19 = 28 \times (20 - 1) = 28 \times 20 - 28 \times 1 = 560 - 28 = 532
    \]

    Next, subtract 27 from 532:
    \[
    532 - 27 = 505
    \]

    ### Answer: 505

Expected answer: 505

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's follow the same steps as before, but this time we will subtract 45 instead of 27.

    1. Initially, the distance between the Moon and the Earth is 36 million kilometers.
    2. The distance decreases by 19 million kilometers:
       \[
       36 - 19 = 17 \text{ million kilometers}
       \]
    3. Then, the distance increases by 11 million kilometers:
       \[
       17 + 11 = 28 \text{ million kilometers}
       \]
    4. We need to find the value of the expression: (distance in millions of kilometers) times 19 minus 45.
       \[
       28 \times 19 - 45
       \]

    First, calculate \( 28 \times 19 \):
    \[
    28 \times 19 = 28 \times (20 - 1) = 28 \times 20 - 28 \times 1 = 560 - 28 = 532
    \]

    Next, subtract 45 from 532:
    \[
    532 - 45 = 487
    \]

    ### Answer: 487

Expected answer: 487

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    First, we calculate the distance covered by the first tiger:
    - The first tiger takes two steps, each 9 meters long.
      \[
      2 \times 9 = 18 \text{ meters}
      \]
    - Then, the first tiger leaps 44 meters.
      \[
      18 + 44 = 62 \text{ meters}
      \]

    Next, we calculate the distance covered by the second tiger:
    - The second tiger combines a 23-meter leap and a 46-meter run.
      \[
      23 + 46 = 69 \text{ meters}
      \]

    - The second tiger then retraces the distance equal to the first tiger's steps and leap, which is 62 meters.
      \[
      69 - 62 = 7 \text{ meters}
      \]

    Thus, the final distance covered by the second tiger is 7 meters.

    ### Answer: 7 meters

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous situation, after retracing the distance equal to the first tiger's steps and the leap, the second tiger then decides to run an additional 30 meters before making a 44-meter leap. How much total distance did the second tiger cover after all these movements?

GPT-4o:

    Let's continue from where we left off.

    We previously calculated that the second tiger covered 7 meters after retracing the distance equal to the first tiger's steps and leap.

    Now, the second tiger runs an additional 30 meters:
    \[
    7 + 30 = 37 \text{ meters}
    \]

    Then, the second tiger makes a 44-meter leap:
    \[
    37 + 44 = 81 \text{ meters}
    \]

    Thus, the total distance covered by the second tiger after all these movements is 81 meters.

    ### Answer: 81 meters

Expected answer: 81

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. **Sunday Production:**
       - The factory produces 26 tubes of toothpaste every hour.
       - On Sundays, they work for 7 hours.
       - Therefore, the production on Sunday is \( 26 \times 7 = 182 \) tubes.
       - Additionally, they produce 8 more tubes.
       - Total production on Sunday is \( 182 + 8 = 190 \) tubes.

    2. **Monday Production:**
       - On Monday, they add another 31 tubes to their Sunday's total.
       - Total production by the end of Monday is \( 190 + 31 = 221 \) tubes.

    3. **Packaging Department:**
       - They have 50 empty boxes.
       - They use 19 of them for another department.
       - Remaining boxes are \( 50 - 19 = 31 \) boxes.

    4. **Total Number of Toothpaste Tubes Ready:**
       - The total number of toothpaste tubes ready is the sum of the remaining boxes and Monday's production.
       - Total ready tubes = \( 31 + 221 = 252 \) tubes.

    5. **Tuesday Production:**
       - On Tuesday, they produced an additional 48 tubes of toothpaste.
       - Total production until Tuesday, inclusive, is \( 252 + 48 = 300 \) tubes.

    ### Answer: 300

Expected answer: 300

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    Let's break down the problem step by step with the new production rate:

    1. **Sunday Production:**
       - The factory now produces 22 tubes of toothpaste every hour.
       - On Sundays, they work for 7 hours.
       - Therefore, the production on Sunday is \( 22 \times 7 = 154 \) tubes.
       - Additionally, they produce 8 more tubes.
       - Total production on Sunday is \( 154 + 8 = 162 \) tubes.

    2. **Monday Production:**
       - On Monday, they add another 31 tubes to their Sunday's total.
       - Total production by the end of Monday is \( 162 + 31 = 193 \) tubes.

    3. **Packaging Department:**
       - They have 50 empty boxes.
       - They use 19 of them for another department.
       - Remaining boxes are \( 50 - 19 = 31 \) boxes.

    4. **Total Number of Toothpaste Tubes Ready:**
       - The total number of toothpaste tubes ready is the sum of the remaining boxes and Monday's production.
       - Total ready tubes = \( 31 + 193 = 224 \) tubes.

    5. **Tuesday Production:**
       - On Tuesday, they produced an additional 48 tubes of toothpaste.
       - Total production until Tuesday, inclusive, is \( 224 + 48 = 272 \) tubes.

    ### Answer: 272

Expected answer: 272

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. Initially, the unicorn has 42 rainbow pebbles.
    2. The unicorn finds 26 more rainbow pebbles the next day.
       - Total rainbow pebbles now: \( 42 + 26 = 68 \)

    3. The unicorn has a stash of 44 dreamberries.
    4. The unicorn gathers 33 more rainbow pebbles and adds them to the stash of dreamberries.
       - Total items from this step: \( 68 + 33 + 44 = 145 \)

    5. The unicorn finds 40 magical dandelions and adds them to the stash.
       - Total items now: \( 145 + 40 = 185 \)

    6. The unicorn loses 14 items.
       - Final total items: \( 185 - 14 = 171 \)

    ### Answer: 171

Expected answer: 171

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's break down the problem step by step with the new initial conditions:

    1. Initially, the unicorn has 40 rainbow pebbles.
    2. The unicorn finds 26 more rainbow pebbles the next day.
       - Total rainbow pebbles now: \( 40 + 26 = 66 \)

    3. The unicorn has a stash of 44 dreamberries.
    4. The unicorn gathers 33 more rainbow pebbles and adds them to the stash of dreamberries.
       - Total items from this step: \( 66 + 33 + 44 = 143 \)

    5. The unicorn finds 40 magical dandelions and adds them to the stash.
       - Total items now: \( 143 + 40 = 183 \)

    6. The unicorn loses 14 items.
       - Final total items: \( 183 - 14 = 169 \)

    ### Answer: 169

Expected answer: 169

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's calculate the total number of jewels the pirate captain initially had. He had 23 types of jewels, and each type had 28 jewels:

    \[ 23 \times 28 = 644 \]

    Next, we account for the jewels he lost. He lost 40 jewels:

    \[ 644 - 40 = 604 \]

    Then, he found 16 jewels the next day:

    \[ 604 + 16 = 620 \]

    So, the total number of jewels he has now in his treasure chest is:

    ### Answer: 620

Expected answer: 620

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's recalculate the total number of jewels the pirate captain originally had with the correct number of types. He had 17 types of jewels, and each type had 28 jewels:

    \[ 17 \times 28 = 476 \]

    Next, we account for the jewels he lost. He lost 40 jewels:

    \[ 476 - 40 = 436 \]

    Then, he found 16 jewels the next day:

    \[ 436 + 16 = 452 \]

    So, the total number of jewels he has now in his treasure chest is:

    ### Answer: 452

Expected answer: 452

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we start with the initial number of neutrons in the star, which is 38. The star then gains 4 more neutrons:

    \[ 38 + 4 = 42 \]

    Next, this total number of neutrons (42) is multiplied by 18 to determine the energy output:

    \[ 42 \times 18 = 756 \]

    During an explosion, the star releases additional energy equivalent to \( 6 + 25 \):

    \[ 6 + 25 = 31 \]

    To find the total energy emitted by the star, we add the energy output from the multiplication to the additional energy released during the explosion:

    \[ 756 + 31 = 787 \]

    ### Answer: 787

Expected answer: 787

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we start with the initial number of neutrons in the star, which is 38. The star then gains 4 more neutrons:

    \[ 38 + 4 = 42 \]

    Next, this total number of neutrons (42) is multiplied by 10 to determine the energy output:

    \[ 42 \times 10 = 420 \]

    During an explosion, the star releases additional energy equivalent to \( 6 + 25 \):

    \[ 6 + 25 = 31 \]

    To find the total energy emitted by the star, we add the energy output from the multiplication to the additional energy released during the explosion:

    \[ 420 + 31 = 451 \]

    ### Answer: 451

Expected answer: 451

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. **Initial Sunflowers:**
       The gardener planted 13 sunflowers initially.

    2. **Additional Sunflowers Calculation:**
       - Number of petals on one sunflower = 5
       - Number of additional sunflowers needed = 37 times the number of petals minus 18
       \[
       37 \times 5 - 18 = 185 - 18 = 167
       \]

    3. **Subtracting 10 Flowers:**
       - The next day, he subtracted 10 flowers from the additional sunflowers:
       \[
       167 - 10 = 157
       \]

    4. **Adding Initial Sunflowers Back:**
       - Adding the initial 13 sunflowers back to the 157:
       \[
       157 + 13 = 170
       \]

    5. **Calculating Orchid Spots:**
       - Total orchids = 92
       - Each spot can hold 23 orchids:
       \[
       \frac{92}{23} = 4 \text{ spots}
       \]

    6. **Summing Up Total Plants and Spots:**
       - Total plants worked on = 170 (sunflowers) + 92 (orchids) = 262
       - Total spots needed = 4
       - Sum of total plants and spots:
       \[
       262 + 4 = 266
       \]

    7. **Doubling the Total:**
       - Doubling the sum:
       \[
       2 \times 266 = 532
       \]

    ### Answer: 532

Expected answer: 348

Correct? No

🔗 Problem

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

GPT-4o:

    To determine 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 catches in a day.

    Given:
    - Number of frogs = 18
    - Number of flies each frog catches in a day = 21

    We perform the multiplication:
    \[ 18 \text{ frogs} \times 21 \text{ flies per frog} = 18 \times 21 \]

    First, we can break down the multiplication for simplicity:
    \[ 18 \times 21 = 18 \times (20 + 1) \]
    \[ = 18 \times 20 + 18 \times 1 \]
    \[ = 360 + 18 \]
    \[ = 378 \]

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

    ### Answer: 378

Expected answer: 378

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's recall the total number of flies caught by the 18 frogs in one day, which we previously calculated as 378 flies.

    Next, we need to consider the additional 39 flies caught by the voracious toad on the second day.

    To find the total number of flies caught over the two days, we add the flies caught by the frogs on the first day to the flies caught by the toad on the second day.

    \[ \text{Total flies caught over two days} = 378 \text{ flies (first day)} + 39 \text{ flies (second day)} \]

    Performing the addition:
    \[ 378 + 39 = 417 \]

    Therefore, the total number of flies caught over the two days is 417.

    ### Answer: 417

Expected answer: 417

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total number of flies caught by all the frogs in a day with the increased number of frogs, we need to multiply the new number of frogs by the number of flies each frog catches in a day.

    Given:
    - New number of frogs = 46
    - Number of flies each frog catches in a day = 21

    We perform the multiplication:
    \[ 46 \text{ frogs} \times 21 \text{ flies per frog} = 46 \times 21 \]

    First, we can break down the multiplication for simplicity:
    \[ 46 \times 21 = 46 \times (20 + 1) \]
    \[ = 46 \times 20 + 46 \times 1 \]
    \[ = 920 + 46 \]
    \[ = 966 \]

    Therefore, all the frogs catch 966 flies in a day.

    ### Answer: 966

Expected answer: 966

Correct? Yes

🔗 Problem

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

GPT-4o:

    To find the total number of chairs in the meeting room for the event, we need to add the number of chairs already in the meeting room to the number of chairs brought in from the storage room.

    The number of chairs in the meeting room initially is 21.
    The number of additional chairs brought in from the storage room is 22.

    Adding these together:
    \[ 21 + 22 = 43 \]

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To find the total number of chairs in the meeting room for the event, we need to add the number of chairs already in the meeting room to the number of chairs brought in from the storage room.

    The number of chairs in the meeting room initially is 12.
    The number of additional chairs brought in from the storage room is 22.

    Adding these together:
    \[ 12 + 22 = 34 \]

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the total number of elephants in the conservation park, we need to add the initial number of elephants to the number of new baby elephants born and the number of elephants received from rescues.

    1. Initial number of elephants: 14
    2. Number of new baby elephants born: 11
    3. Number of elephants received from rescues: 25

    First, add the number of new baby elephants to the initial number of elephants:
    \[ 14 + 11 = 25 \]

    Next, add the number of elephants received from rescues to the new total:
    \[ 25 + 25 = 50 \]

    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To find out how many elephants are left in the park after 27 elephants were relocated, we need to subtract the number of relocated elephants from the current total number of elephants.

    From the previous calculation, we know there were 50 elephants in the park.

    Number of elephants relocated: 27

    Subtract the relocated elephants from the total number of elephants:
    \[ 50 - 27 = 23 \]

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To determine the total number of elephants in the conservation park with the new initial count, we need to add the initial number of elephants to the number of new baby elephants born and the number of elephants received from rescues.

    1. Initial number of elephants: 38
    2. Number of new baby elephants born: 11
    3. Number of elephants received from rescues: 25

    First, add the number of new baby elephants to the initial number of elephants:
    \[ 38 + 11 = 49 \]

    Next, add the number of elephants received from rescues to the new total:
    \[ 49 + 25 = 74 \]

    ### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the number of real stones left in the first chest. The total number of stones is 23 emeralds + 30 diamonds = 53 stones. Since 39 of these stones are fake, the number of real stones left is:
    \[ y = 53 - 39 = 14 \]

    Next, we calculate the value \( g \) of the first chest by squaring the number of real stones and subtracting 37:
    \[ g = y^2 - 37 = 14^2 - 37 = 196 - 37 = 159 \]

    Now, let's move to the second chest. There were 540 rubies shared equally among 45 pirates, and 3 rubies were lost. First, we find out how many rubies each pirate received:
    \[ \text{Rubies per pirate} = \frac{540}{45} = 12 \]

    Since 3 rubies were lost, the remaining number of rubies is:
    \[ x = 540 - 45 \times 12 = 540 - 540 + 12 - 3 = 12 - 3 = 9 \]

    Next, we subtract \( x \) from the value \( g \) of the first chest to get a new value:
    \[ \text{New value} = g - x = 159 - 9 = 150 \]

    In the same chest as the rubies, there were also 23 pearls and 11 zirconias, making a total of:
    \[ \text{Total pieces} = 23 + 11 = 34 \]

    Since 9 pieces had to be discarded due to damage, the count \( s \) of the remaining pieces is:
    \[ s = 34 - 9 = 25 \]

    Finally, we subtract \( s \) from the new value to determine the value \( m \) of the remaining treasure:
    \[ m = 150 - 25 = 125 \]

    ### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Follow-up

Problem: Continuing from the original problem, let's consider a different scenario. Instead of 39 stones being fake in the treasure chest containing 23 emeralds and 30 diamonds, it turns out only 35 were fake. Recalculate the value of the real stones left (y) by multiplying it by itself, and then subtracting 37, to get a new value in the chest (g). As before, subtract the number of remaining rubies (x) after sharing them among 45 pirates and losing 3, from this new value (g), to get a revised value. In the chest with the rubies, still consider there were 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. Subtract this count (s) from the updated value of the chest, to get a newly revised value (m) of the remaining treasure. What is the newly calculated value (m) of all the remaining treasure?

GPT-4o:

    First, let's determine the number of real stones left in the first chest. The total number of stones is 23 emeralds + 30 diamonds = 53 stones. Since 35 of these stones are fake, the number of real stones left is:
    \[ y = 53 - 35 = 18 \]

    Next, we calculate the value \( g \) of the first chest by squaring the number of real stones and subtracting 37:
    \[ g = y^2 - 37 = 18^2 - 37 = 324 - 37 = 287 \]

    Now, let's move to the second chest. There were 540 rubies shared equally among 45 pirates, and 3 rubies were lost. First, we find out how many rubies each pirate received:
    \[ \text{Rubies per pirate} = \frac{540}{45} = 12 \]

    Since 3 rubies were lost, the remaining number of rubies is:
    \[ x = 540 - 45 \times 12 = 540 - 540 + 12 - 3 = 12 - 3 = 9 \]

    Next, we subtract \( x \) from the value \( g \) of the first chest to get a new value:
    \[ \text{New value} = g - x = 287 - 9 = 278 \]

    In the same chest as the rubies, there were also 23 pearls and 11 zirconias, making a total of:
    \[ \text{Total pieces} = 23 + 11 = 34 \]

    Since 9 pieces had to be discarded due to damage, the count \( s \) of the remaining pieces is:
    \[ s = 34 - 9 = 25 \]

    Finally, we subtract \( s \) from the new value to determine the value \( m \) of the remaining treasure:
    \[ m = 278 - 25 = 253 \]

    ### Answer: 253

Expected answer: 253

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to determine the daily average increase in sightings over the next 14 days. We do this by dividing the additional sightings by the number of days:

    \[
    \text{Daily average increase} = \frac{504 \text{ sightings}}{14 \text{ days}} = 36 \text{ sightings/day}
    \]

    Next, we subtract the initial confirmed sightings from this daily average:

    \[
    36 \text{ sightings/day} - 6 \text{ sightings} = 30 \text{ sightings}
    \]

    Now, we need to calculate the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number typically dismissed as random (3):

    \[
    9 - 3 = 6
    \]

    Finally, we multiply the result of the subtraction by the new daily average minus the initial confirmed sightings:

    \[
    30 \text{ sightings} \times 6 = 180 \text{ sightings}
    \]

    ### Answer: 180

Expected answer: 180

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's correct the subtraction using the new maximum number of sightings recorded in one day:

    \[
    35 - 3 = 32
    \]

    Next, we use the previously calculated daily increase minus the initial confirmed sightings:

    \[
    36 \text{ sightings/day} - 6 \text{ sightings} = 30 \text{ sightings}
    \]

    Now, we multiply the corrected result by the new daily average minus the initial confirmed sightings:

    \[
    30 \text{ sightings} \times 32 = 960 \text{ sightings}
    \]

    ### Answer: 960

Expected answer: 960

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to calculate the total number of red patches required for the design. The design requires \( 26 \times 25 \) square patches of red material.

    \[
    26 \times 25 = 650
    \]

    Next, we subtract the 5 square patches of blue material from the total red patches:

    \[
    650 - 5 = 645
    \]

    Now, we calculate the total number of green patches in stock, which is \( 48 \times 21 \):

    \[
    48 \times 21 = 1008
    \]

    Finally, we find the difference between the number of green patches and the number of red patches needed for the design:

    \[
    1008 - 645 = 363
    \]

    ### Answer: 363

Expected answer: 363

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    First, we need to calculate the total number of red patches required for the design. The design requires \( 26 \times 25 \) square patches of red material.

    \[
    26 \times 25 = 650
    \]

    Next, we subtract the 27 square patches of blue material from the total red patches:

    \[
    650 - 27 = 623
    \]

    Now, we calculate the total number of green patches in stock, which is \( 48 \times 21 \):

    \[
    48 \times 21 = 1008
    \]

    Finally, we find the difference between the number of green patches and the number of red patches needed for the design:

    \[
    1008 - 623 = 385
    \]

    ### Answer: 385

Expected answer: 385

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's calculate the total number of baskets of lemons picked by the villagers:

    - From the trees near the river: 38 baskets
    - From the trees near the old well: 24 baskets
    - From the trees near the school: 16 baskets
    - From the trees near the mayor's house: 13 baskets

    Adding these together:
    \[ 38 + 24 + 16 + 13 = 91 \text{ baskets} \]

    Next, they decided to use 35 baskets to make lemonade. Therefore, the number of remaining baskets is:
    \[ 91 - 35 = 56 \text{ baskets} \]

    Each basket of lemons can produce 14 bottles of lemonade. So, the total number of bottles of lemonade from the remaining baskets is:
    \[ 56 \text{ baskets} \times 14 \text{ bottles per basket} = 784 \text{ bottles} \]

    ### Answer: 784

Expected answer: 784

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's recall the total number of baskets of lemons picked by the villagers, which is 91 baskets.

    They now decided to use 23 baskets to make lemonade. Therefore, the number of remaining baskets is:
    \[ 91 - 23 = 68 \text{ baskets} \]

    Each basket of lemons can produce 14 bottles of lemonade. So, the total number of bottles of lemonade from the remaining baskets is:
    \[ 68 \text{ baskets} \times 14 \text{ bottles per basket} = 952 \text{ bottles} \]

    ### Answer: 952

Expected answer: 952

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. Amy initially found 21 seashells.
    2. She gave 15 of them to her sister.
       \[
       21 - 15 = 6 \text{ seashells remaining}
       \]

    3. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day.
       \[
       6 + 13 = 19 \text{ seashells found the next day}
       \]

    4. She also found an additional 49 seashells.
       \[
       19 + 49 = 68 \text{ seashells found on the second day}
       \]

    5. Adding the seashells she had remaining from the first day:
       \[
       6 + 68 = 74 \text{ total seashells}
       \]

    6. She gave 23 seashells to her brother.
       \[
       74 - 23 = 51 \text{ seashells remaining}
       \]

    7. She gave 27 seashells to her cousin.
       \[
       51 - 27 = 24 \text{ seashells remaining}
       \]

    ### Answer: 24

Expected answer: 18

Correct? No

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    **First Round:**
    Princess Anna thought of two numbers: 7 and 10. She added them together.
    \[ 7 + 10 = 17 \]

    **Second Round:**
    She thought of the number 29. She subtracted the result from the first round from 29.
    \[ 29 - 17 = 12 \]
    Then she subtracted 8 more from that result.
    \[ 12 - 8 = 4 \]

    **Final Round:**
    Princess Anna added the results from the first and second rounds.
    \[ 17 + 4 = 21 \]
    Then she multiplied the sum by the result from the second round.
    \[ 21 \times 4 = 84 \]

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's follow the steps of Princess Bella's game:

    **First Round:**
    Princess Bella copied Anna and added the same two numbers: 7 and 10.
    \[ 7 + 10 = 17 \]

    **Second Round:**
    She thought of the number 33. She subtracted the result from the first round from 33.
    \[ 33 - 17 = 16 \]
    Then she decreased it by 8.
    \[ 16 - 8 = 8 \]

    **Final Round:**
    Princess Bella added the results from the first and second rounds.
    \[ 17 + 8 = 25 \]
    Then she multiplied the sum by the result from the second round.
    \[ 25 \times 8 = 200 \]

    ### Answer: 200

Expected answer: 200

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. Ellen originally had $15.
    2. Sam originally had $48.
    3. Sam gave some money to Ellen such that he ended up with the same amount of money Ellen originally had, which is $15.

    Let's denote the amount of money Sam gave to Ellen as \( x \).

    After giving \( x \) dollars to Ellen:
    - Sam's remaining money: \( 48 - x = 15 \)

    Solving for \( x \):
    \[ 48 - x = 15 \]
    \[ x = 48 - 15 \]
    \[ x = 33 \]

    So, Sam gave $33 to Ellen.

    After giving $33 to Ellen, Sam had $15 left.

    4. Then, Sam received $24 from his brother.

    So, the total amount of money Sam has now is:
    \[ 15 + 24 = 39 \]

    ### Answer: 39

Expected answer: 57

Correct? No

🔗 Problem

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

GPT-4o:

    First, we need to determine the total length of the river and the tributary combined. The river is 33 kilometers long, and the tributary adds 19 kilometers. Therefore, the total length of the waterway is:

    \[ 33 \text{ km} + 19 \text{ km} = 52 \text{ km} \]

    Next, we need to account for the 30-kilometer portion of the river that was inaccessible. We subtract this inaccessible portion from the total length of the waterway:

    \[ 52 \text{ km} - 30 \text{ km} = 22 \text{ km} \]

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

    ### Answer: 22 km

Expected answer: 22

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Initially, the scientists were able to study 22 kilometers of the river, as calculated previously.

    With the special permit, they were allowed to investigate an additional 32 kilometers of the river. Therefore, we add this new stretch to the previously studied length:

    \[ 22 \text{ km} + 32 \text{ km} = 54 \text{ km} \]

    Thus, the total length of the river that the scientists were able to study is 54 kilometers.

    ### Answer: 54 km

Expected answer: 54

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we determine the total length of the river and the tributary combined. The river is 33 kilometers long, and the tributary adds 19 kilometers. Therefore, the total length of the waterway is:

    \[ 33 \text{ km} + 19 \text{ km} = 52 \text{ km} \]

    Next, we account for the 26-kilometer portion of the river that was inaccessible. We subtract this inaccessible portion from the total length of the waterway:

    \[ 52 \text{ km} - 26 \text{ km} = 26 \text{ km} \]

    Thus, the scientists would have been able to study 26 kilometers of the river.

    ### Answer: 26 km

Expected answer: 26

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    First, we calculate the total number of shots in the first photographer's collection:
    1. The photographer initially took 34 shots at a wedding but removed 19 of them.
       \[
       34 - 19 = 15 \text{ shots}
       \]
    2. The next day, he took an additional 21 shots.
       \[
       15 + 21 = 36 \text{ shots}
       \]
    3. He then added 23 more shots from a third event.
       \[
       36 + 23 = 59 \text{ shots}
       \]

    Next, we calculate the number of shots in the second photographer's collection:
    1. The second photographer took 880 shots and selected every 40th shot.
       \[
       \frac{880}{40} = 22 \text{ shots}
       \]

    Finally, we add the total number of shots from both photographers' collections:
    \[
    59 + 22 = 81 \text{ shots}
    \]

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's recalculate the number of shots in the second photographer's collection with the new selection criteria.

    1. The second photographer took 880 shots and decided to select every 28th shot.
       \[
       \frac{880}{28} = 31.4286 \approx 31 \text{ shots}
       \]
       Since we can only select whole shots, we take the integer part, which is 31 shots.

    Next, we add the total number of shots from both photographers' collections:
    1. The first photographer's collection remains the same at 59 shots.
    2. The second photographer's collection now has 31 shots.

    Adding these together:
    \[
    59 + 31 = 90 \text{ shots}
    \]

    ### Answer: 90

Expected answer: 633/7

Correct? No

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. The pirate's previous loot was 13 gold coins.
    2. The treasure chest contained 3 times the amount of his previous loot:
       \[
       3 \times 13 = 39 \text{ gold coins}
       \]
    3. After spending 22 of these coins for the crew's rum, the pirate's remaining coins from the treasure chest are:
       \[
       39 - 22 = 17 \text{ gold coins}
       \]
    4. The pirate then discovered another loot of 47 gold coins.

    To find the total number of gold coins the pirate has now, we add the remaining coins from the treasure chest to the newly discovered loot:
    \[
    17 + 47 = 64 \text{ gold coins}
    \]

    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    Let's break down the problem step by step with the new information:

    1. The pirate's previous loot was 13 gold coins.
    2. The treasure chest contained 42 times the amount of his previous loot:
       \[
       42 \times 13 = 546 \text{ gold coins}
       \]
    3. After spending 22 of these coins for the crew's rum, the pirate's remaining coins from the treasure chest are:
       \[
       546 - 22 = 524 \text{ gold coins}
       \]
    4. The pirate then discovered another loot of 47 gold coins.

    To find the total number of gold coins the pirate has now, we add the remaining coins from the treasure chest to the newly discovered loot:
    \[
    524 + 47 = 571 \text{ gold coins}
    \]

    ### Answer: 571

Expected answer: 571

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the total number of days the hiker saved on his journey, we need to sum up all the individual days saved from various factors.

    1. **Increased daily average**: The hiker increased his daily average to 16 miles. However, the problem does not specify how many days this saved, so we cannot include this in our calculation without additional information.

    2. **Shortcut**: The hiker saved 4 days by taking a shortcut.

    3. **Advised path**: The hiker saved 40 days by taking the advised path.

    4. **Good weather**: The hiker saved 21 days due to good weather.

    Now, we sum up the days saved from the shortcut, advised path, and good weather:
    \[ 4 \text{ days} + 40 \text{ days} + 21 \text{ days} = 65 \text{ days} \]

    ### Answer: 65 days

Expected answer: 74

Correct? No

🔗 Problem

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

GPT-4o:

    First, we need to determine the total number of pillows produced in a day without accounting for the losses. Since the company operates round the clock, it means they produce pillows for 24 hours a day.

    The number of pillows produced per hour is 33. Therefore, the total number of pillows produced in a day is:
    \[ 33 \text{ pillows/hour} \times 24 \text{ hours/day} = 792 \text{ pillows/day} \]

    Next, we account for the loss of 43 pillows due to machine errors. To find the total number of pillows manufactured after accounting for the losses, we subtract the number of lost pillows from the total number of pillows produced:
    \[ 792 \text{ pillows} - 43 \text{ pillows} = 749 \text{ pillows} \]

    ### Answer: 749

Expected answer: 749

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we need to determine the total number of pillows produced in a day with the new production rate. The company now produces 24 pillows every hour and operates for 24 hours a day.

    The total number of pillows produced in a day is:
    \[ 24 \text{ pillows/hour} \times 24 \text{ hours/day} = 576 \text{ pillows/day} \]

    Next, we account for the loss of 43 pillows due to machine errors. To find the total number of pillows manufactured after accounting for the losses, we subtract the number of lost pillows from the total number of pillows produced:
    \[ 576 \text{ pillows} - 43 \text{ pillows} = 533 \text{ pillows} \]

    ### Answer: 533

Expected answer: 533

Correct? Yes

🔗 Problem

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

GPT-4o:

    To solve this problem, we need to convert the number of bricks in the other wing into the equivalent number of rooms and then add this to the number of rooms in the first wing.

    1. First, we know that one room is equivalent to 36 bricks.
    2. The other wing has 216 bricks.
    3. To find out how many rooms 216 bricks are equivalent to, we divide the number of bricks by the number of bricks per room:

    \[
    \text{Number of rooms from bricks} = \frac{216 \text{ bricks}}{36 \text{ bricks/room}} = 6 \text{ rooms}
    \]

    4. The first wing already has 5 rooms.
    5. To find the total number of rooms, we add the rooms from both wings:

    \[
    \text{Total number of rooms} = 5 \text{ rooms} + 6 \text{ rooms} = 11 \text{ rooms}
    \]

    ### Answer: 11 rooms

Expected answer: 11

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To find the total number of rooms in the castle, we need to add the rooms from all the different parts of the castle:

    1. The original wing has 5 rooms.
    2. The second wing, when converting the number of bricks to rooms, has 6 rooms (as calculated previously).
    3. The hidden underground passage has 9 rooms.

    Now, we sum these rooms together:

    \[
    \text{Total number of rooms} = 5 \text{ rooms} + 6 \text{ rooms} + 9 \text{ rooms} = 20 \text{ rooms}
    \]

    ### Answer: 20 rooms

Expected answer: 20

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    To solve this problem, we need to update the number of rooms in the first wing and then add the equivalent number of rooms from the bricks in the second wing.

    1. The first wing now has 35 rooms.
    2. The second wing has 216 bricks, and we know that one room is equivalent to 36 bricks.
    3. To find out how many rooms 216 bricks are equivalent to, we divide the number of bricks by the number of bricks per room:

    \[
    \text{Number of rooms from bricks} = \frac{216 \text{ bricks}}{36 \text{ bricks/room}} = 6 \text{ rooms}
    \]

    4. To find the total number of rooms, we add the rooms from both wings:

    \[
    \text{Total number of rooms} = 35 \text{ rooms} + 6 \text{ rooms} = 41 \text{ rooms}
    \]

    ### Answer: 41 rooms

Expected answer: 41

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's calculate the total number of goals the player scored over 31 matches. The player scored 15 goals in each match:

    \[ 15 \text{ goals/match} \times 31 \text{ matches} = 465 \text{ goals} \]

    Next, 43 of these goals were discounted:

    \[ 465 \text{ goals} - 43 \text{ goals} = 422 \text{ goals} \]

    Then, 40 goals were awarded back to the player:

    \[ 422 \text{ goals} + 40 \text{ goals} = 462 \text{ goals} \]

    Finally, 26 of those goals were deducted again:

    \[ 462 \text{ goals} - 26 \text{ goals} = 436 \text{ goals} \]

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    From the previous question, we determined that the player ended up with 436 goals. In the contest, each goal counts as points with a multiplier of 1. Therefore, the number of points the player gets is simply the number of goals multiplied by the multiplier:

    \[ 436 \text{ goals} \times 1 = 436 \text{ points} \]

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's calculate the total number of fish in the aquarium before any fish are relocated. There are 9 tanks, each with 49 fish:

    \[ 9 \times 49 = 441 \]

    Next, we need to account for the 5 fish that were relocated from one of the tanks. This means we need to subtract 5 fish from the total:

    \[ 441 - 5 = 436 \]

    Therefore, the new total number of fish in the aquarium is:

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    First, let's calculate the total number of fish in the aquarium before any fish are relocated. There are 9 tanks, each with 47 fish:

    \[ 9 \times 47 = 423 \]

    Next, we need to account for the 5 fish that were relocated from one of the tanks. This means we need to subtract 5 fish from the total:

    \[ 423 - 5 = 418 \]

    Therefore, the new total number of fish in the aquarium is:

    ### Answer: 418

Expected answer: 418

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. Jeremy starts with 14 cards.
    2. He discards 19 cards. Since he only has 14 cards, discarding 19 cards means he will have 0 cards left (as you cannot have a negative number of cards).

    So, after discarding, Jeremy has:
    \[ 14 - 19 = 0 \text{ cards} \]

    3. Jeremy then gains 32 more cards from the deck.

    So, after gaining the cards, Jeremy has:
    \[ 0 + 32 = 32 \text{ cards} \]

    ### Answer: 32

Expected answer: 27

Correct? No

🔗 Problem

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

GPT-4o:

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

    1. **Calculate the rate of the first clock's ticks per minute:**
       \[
       \text{Rate of first clock} = \frac{504 \text{ ticks}}{42 \text{ minutes}} = 12 \text{ ticks per minute}
       \]

    2. **Calculate the rate of the second clock's ticks per minute:**
       \[
       \text{Rate of second clock} = \frac{279 \text{ ticks}}{31 \text{ minutes}} = 9 \text{ ticks per minute}
       \]

    3. **Add 34 to the rate of the second clock:**
       \[
       \text{Adjusted rate of second clock} = 9 + 34 = 43 \text{ ticks per minute}
       \]

    4. **Multiply the first clock's rate by 35:**
       \[
       12 \times 35 = 420
       \]

    5. **Subtract 41 from the result of the first clock's rate manipulation:**
       \[
       420 - 41 = 379
       \]

    6. **Subtract the adjusted rate of the second clock from the manipulated rate of the first clock:**
       \[
       379 - 43 = 336
       \]

    ### Answer: 336

Expected answer: 336

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's re-calculate the problem with the corrected information:

    1. **Calculate the rate of the first clock's ticks per minute:**
       \[
       \text{Rate of first clock} = \frac{504 \text{ ticks}}{42 \text{ minutes}} = 12 \text{ ticks per minute}
       \]

    2. **Calculate the rate of the second clock's ticks per minute with the corrected information:**
       \[
       \text{Rate of second clock} = \frac{279 \text{ ticks}}{2 \text{ minutes}} = 139.5 \text{ ticks per minute}
       \]

    3. **Add 34 to the rate of the second clock:**
       \[
       \text{Adjusted rate of second clock} = 139.5 + 34 = 173.5 \text{ ticks per minute}
       \]

    4. **Multiply the first clock's rate by 35:**
       \[
       12 \times 35 = 420
       \]

    5. **Subtract 41 from the result of the first clock's rate manipulation:**
       \[
       420 - 41 = 379
       \]

    6. **Subtract the adjusted rate of the second clock from the manipulated rate of the first clock:**
       \[
       379 - 173.5 = 205.5
       \]

    ### Answer: 205.5

Expected answer: 411/2

Correct? Yes

🔗 Problem

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

GPT-4o:

    To determine the rainfall on Thursday, we need to follow the changes in rainfall from Tuesday to Thursday.

    1. Start with the rainfall on Tuesday:
       \[
       \text{Rainfall on Tuesday} = 39 \text{ cm}
       \]

    2. The rainfall decreased by 6 cm on Wednesday:
       \[
       \text{Rainfall on Wednesday} = 39 \text{ cm} - 6 \text{ cm} = 33 \text{ cm}
       \]

    3. The rainfall further decreased by 31 cm on Thursday:
       \[
       \text{Rainfall on Thursday} = 33 \text{ cm} - 31 \text{ cm} = 2 \text{ cm}
       \]

    ### Answer: 2 cm

Expected answer: 2

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to determine the actual number of UFO sightings in the first month. The enthusiast initially reported 50 UFOs, but 36 of these were actually meteors. Therefore, the actual number of UFO sightings in the first month is:
    \[ 50 - 36 = 14 \]

    Next, we need to calculate the number of UFO sightings reported in the second month. The enthusiast reported seeing 41 UFOs, plus an amount equal to the actual number of UFO sightings from the previous month (which is 14), and an additional 5. Therefore, the total number of UFO sightings reported in the second month is:
    \[ 41 + 14 + 5 = 60 \]

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step.

    1. **First Game:**
       The cat accumulated 5 yarn balls.

    2. **Second Game:**
       The number of yarn balls she got in the second game is the square of what she obtained in the first game plus 8 more.
       \[
       \text{Yarn balls in the second game} = 5^2 + 8 = 25 + 8 = 33
       \]

    3. **Third Game:**
       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.
       \[
       \text{Difference} = 45 - 33 = 12
       \]
       \[
       \text{Yarn balls after the third game} = 25 \times 12 = 300
       \]

    Thus, the cat has 300 yarn balls now.

    ### Answer: 300

Expected answer: 300

Correct? Yes

🔗 Follow-up

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?

GPT-4o:

    Let's re-evaluate the problem with the new conditions.

    1. **First Game:**
       The cat accumulated 5 yarn balls.

    2. **Second Game:**
       The number of yarn balls she got in the second game is the square of what she obtained in the first game plus 8 more.
       \[
       \text{Yarn balls in the second game} = 5^2 + 8 = 25 + 8 = 33
       \]

    3. **Third Game:**
       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.
       \[
       \text{Difference} = 45 - 33 = 12
       \]
       \[
       \text{Yarn balls after the third game} = 6 \times 12 = 72
       \]

    Thus, the cat has 72 yarn balls now.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the number of cricket balls in the basket. According to the problem, if we remove 16 balls from the basket, we get cricket balls. This means there are 16 cricket balls in the basket.

    Next, we need to find the number of tennis balls. Since the total number of balls in the basket is 41, and we know there are 16 cricket balls, we can calculate the number of tennis balls as follows:
    \[ \text{Number of tennis balls} = 41 - 16 = 25 \]

    Now, we add 9 ping pong balls and 21 basketballs to the basket. The total number of new balls added is:
    \[ 9 + 21 = 30 \]

    Finally, we calculate the new total number of balls in the basket:
    \[ 41 + 30 = 71 \]

    ### Answer: 71

Expected answer: 55

Correct? No

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step to find the total number of squares needed for the quirky clock.

    1. **Initial Calculation for Hours:**
       - Your friend initially calculated the number of squares needed for hours by:
         \[
         37 - 32 + 42 - 37
         \]
       - Let's solve this step-by-step:
         \[
         37 - 32 = 5
         \]
         \[
         5 + 42 = 47
         \]
         \[
         47 - 37 = 10
         \]
       - So, the number of squares needed for hours is 10.

    2. **Adding Squares for Minutes and Seconds:**
       - Your friend wants to add 25 squares for minutes and 28 squares for seconds:
         \[
         25 + 28 = 53
         \]

    3. **Additional Calculation:**
       - Your friend then added 41 to 25, followed by another 28, and then added 17 to the result:
         \[
         41 + 25 = 66
         \]
         \[
         66 + 28 = 94
         \]
         \[
         94 + 17 = 111
         \]

    4. **Reducing the Total Number of Squares:**
       - Your friend decided to reduce the total number of squares by 23:
         \[
         111 - 23 = 88
         \]

    5. **Final Calculation:**
       - Finally, your friend added the number of squares needed for hours (10) to this reduced number (88):
         \[
         10 + 88 = 98
         \]

    So, the total number of squares needed to complete the quirky clock is:
    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's go through the revised calculations step by step to determine the total number of squares needed for the quirky clock.

    1. **Revised Calculation for Hours:**
       - Your friend recalculated the number of squares needed for hours by:
         \[
         37 - 32 + 42 - 13
         \]
       - Let's solve this step-by-step:
         \[
         37 - 32 = 5
         \]
         \[
         5 + 42 = 47
         \]
         \[
         47 - 13 = 34
         \]
       - So, the number of squares needed for hours is 34.

    2. **Adding Squares for Minutes and Seconds:**
       - Your friend wants to add 25 squares for minutes and 28 squares for seconds:
         \[
         25 + 28 = 53
         \]

    3. **Additional Calculation:**
       - Your friend then added 41 to 25, followed by another 28, and then added 17 to the result:
         \[
         41 + 25 = 66
         \]
         \[
         66 + 28 = 94
         \]
         \[
         94 + 17 = 111
         \]

    4. **Reducing the Total Number of Squares:**
       - Your friend decided to reduce the total number of squares by 23:
         \[
         111 - 23 = 88
         \]

    5. **Final Calculation:**
       - Finally, your friend added the number of squares needed for hours (34) to this reduced number (88):
         \[
         34 + 88 = 122
         \]

    So, the total number of squares needed to complete the quirky clock is:
    ### Answer: 122

Expected answer: 122

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the daily production of oranges using the new method. The farm typically produces 28 pounds of oranges in a single day. With the new method, they produced 2 times this amount:

    \[ 2 \times 28 = 56 \text{ pounds per day} \]

    Next, we need to calculate the total production over the 15-day harvest period:

    \[ 56 \text{ pounds/day} \times 15 \text{ days} = 840 \text{ pounds} \]

    After the 15-day period, the farm added 16 pounds of a rare orange variant to the total harvest:

    \[ 840 \text{ pounds} + 16 \text{ pounds} = 856 \text{ pounds} \]

    Therefore, the total production of the farm, including the rare orange variant, is:

    ### Answer: 856 pounds

Expected answer: 856

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, let's determine the new daily production of oranges if the farm originally produced 7 pounds per day and then doubled this amount:

    \[ 2 \times 7 = 14 \text{ pounds per day} \]

    Next, we need to calculate the total production over the 15-day harvest period:

    \[ 14 \text{ pounds/day} \times 15 \text{ days} = 210 \text{ pounds} \]

    After the 15-day period, the farm added 16 pounds of a rare orange variant to the total harvest:

    \[ 210 \text{ pounds} + 16 \text{ pounds} = 226 \text{ pounds} \]

    Therefore, the total production of the farm, including the rare orange variant, is:

    ### Answer: 226 pounds

Expected answer: 226

Correct? Yes

🔗 Problem

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

GPT-4o:

    Let's break down the problem step by step:

    1. **Initial number of passengers on the bus:**
       \[
       37 \text{ passengers}
       \]

    2. **Number of passengers getting on at the next stop:**
       \[
       20 \text{ passengers}
       \]

    3. **Total number of passengers after the next stop:**
       \[
       37 + 20 = 57 \text{ passengers}
       \]

    4. **Number of passengers getting off before the next stop:**
       \[
       44 \text{ passengers}
       \]

    5. **Remaining number of passengers:**
       \[
       57 - 44 = 13 \text{ passengers}
       \]

    6. **Each remaining passenger pays an $11 fare:**
       \[
       13 \times 11 = 143 \text{ dollars}
       \]

    7. **The bus company deducts a $14 service fee from the total fare:**
       \[
       143 - 14 = 129 \text{ dollars}
       \]

    Therefore, the revenue the bus company gets is:
    ### Answer: 129 dollars.

Expected answer: 129

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's continue from where we left off:

    1. **Revenue after deducting the $14 service fee:**
       \[
       129 \text{ dollars}
       \]

    2. **Parking fee to be paid:**
       \[
       23 \text{ dollars}
       \]

    3. **Revenue after paying the parking fee:**
       \[
       129 - 23 = 106 \text{ dollars}
       \]

    Therefore, the revenue the bus company has after all expenses is:
    ### Answer: 106 dollars.

Expected answer: 106

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's break down the problem step by step:

    1. **Initial number of passengers on the bus:**
       \[
       28 \text{ passengers}
       \]

    2. **Number of passengers getting on at the next stop:**
       \[
       20 \text{ passengers}
       \]

    3. **Total number of passengers after the next stop:**
       \[
       28 + 20 = 48 \text{ passengers}
       \]

    4. **Number of passengers getting off before the next stop:**
       \[
       44 \text{ passengers}
       \]

    5. **Remaining number of passengers:**
       \[
       48 - 44 = 4 \text{ passengers}
       \]

    6. **Each remaining passenger pays an $11 fare:**
       \[
       4 \times 11 = 44 \text{ dollars}
       \]

    7. **The bus company deducts a $14 service fee from the total fare:**
       \[
       44 - 14 = 30 \text{ dollars}
       \]

    Therefore, the revenue the bus company gets is:
    ### Answer: 30 dollars.

Expected answer: 30

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we need to determine the total number of gems the pirate initially found. We do this by adding the number of each type of gem:

    \[
    13 \text{ emeralds} + 42 \text{ rubies} + 19 \text{ sapphires}
    \]

    Calculating the sum:

    \[
    13 + 42 + 19 = 74
    \]

    The pirate gave away 43 of these gems to his crewmates. To find out how many gems he has left, we subtract the number of gems given away from the total number of gems:

    \[
    74 - 43 = 31
    \]

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, we know that the reserve initially has 16 ginger giraffes.

    Next, they bring in the same number of golden giraffes as the ginger ones. Therefore, the number of golden giraffes is also 16.

    Later, they add another group of 46 greyish giraffes.

    To find the total number of giraffes in the reserve, we add the number of ginger giraffes, golden giraffes, and greyish giraffes together:

    \[
    16 \text{ (ginger giraffes)} + 16 \text{ (golden giraffes)} + 46 \text{ (greyish giraffes)} = 78
    \]

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Initially, we calculated that there were 78 giraffes in the reserve. This total included 16 ginger giraffes, 16 golden giraffes, and 46 greyish giraffes.

    When 2 greyish giraffes move out of the reserve, we need to subtract these 2 from the total number of giraffes:

    \[
    78 \text{ (initial total)} - 2 \text{ (greyish giraffes that left)} = 76
    \]

    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    First, we know that the reserve initially has 42 ginger giraffes.

    Next, they bring in the same number of golden giraffes as the ginger ones. Therefore, the number of golden giraffes is also 42.

    Later, they add another group of 46 greyish giraffes.

    To find the total number of giraffes in the reserve, we add the number of ginger giraffes, golden giraffes, and greyish giraffes together:

    \[
    42 \text{ (ginger giraffes)} + 42 \text{ (golden giraffes)} + 46 \text{ (greyish giraffes)} = 130
    \]

    ### Answer: 130

Expected answer: 130

Correct? Yes

🔗 Problem

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

GPT-4o:

    First, let's determine the initial calculation of the distance the turtle swam.

    1. The turtle travels as many leagues as \( 11 + 10 \):
       \[
       11 + 10 = 21
       \]

    2. The turtle then multiplies this result by 16 to get the total distance:
       \[
       21 \times 16 = 336
       \]

    3. The turtle realizes it had over-calculated the distance by 41 leagues. Therefore, we need to subtract 41 leagues from the initial calculation:
       \[
       336 - 41 = 295
       \]

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

    ### Answer: 295

Expected answer: 295

Correct? Yes

🔗 Follow-up

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

GPT-4o:

    Let's recalculate the distance the turtle swam based on the corrected daily travel distance.

    1. The turtle actually swam \( 11 + 17 \) leagues per day:
       \[
       11 + 17 = 28
       \]

    2. The turtle then multiplies this daily total by 16 to get the total distance for the week:
       \[
       28 \times 16 = 448
       \]

    3. The turtle realizes it had over-calculated the distance by 41 leagues. Therefore, we need to subtract 41 leagues from the corrected weekly total:
       \[
       448 - 41 = 407
       \]

    Thus, the actual distance the turtle swam in the originally estimated week is 407 leagues.

    ### Answer: 407

Expected answer: 407

Correct? Yes