Problem: The gardener realizes afterwards that he initially miscounted the rose bushes in the field. It turns out there were not 80, but 84 rose bushes instead, each still producing 30 roses, and the storm still managed to blow away 43 roses. How many roses does he actually have remaining in the field after the correction?

GPT-4o:

First, we need to determine the total number of roses produced by the 84 rose bushes. Each bush produces 30 roses, so we calculate:

\[ 84 \text{ bushes} \times 30 \text{ roses per bush} = 2520 \text{ roses} \]

Next, we account for the 43 roses that were blown away by the storm. We subtract this number from the total number of roses:

\[ 2520 \text{ roses} - 43 \text{ roses} = 2477 \text{ roses} \]

Therefore, the number of roses remaining in the field after the correction is:

### Answer: 2477

Expected answer: 2477

Correct? Yes

Problem: Continuing from the original scenario, suppose we made a mistake in our measurements and realized that the dolphin, in fact, can leap (41 + 59) feet high instead of (3 + 59) feet. Considering this, if the dolphin still completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day now?

GPT-4o:

First, we need to determine the correct height of one leap by the dolphin. The height of one leap is now given by the expression \(41 + 59\):

\[ 41 + 59 = 100 \text{ feet} \]

Next, we need to find the total height jumped by the dolphin in a day if it completes 89 jumps. We do this by multiplying the height of one leap by the number of jumps:

\[ 100 \text{ feet/jump} \times 89 \text{ jumps} \]

To perform the multiplication:

\[ 100 \times 89 = 8900 \]

Therefore, the total height the dolphin has jumped in a day is:

### Answer: 8900 feet

Expected answer: 8900

Correct? Yes

Problem: Continuing from the original scenario, suppose the candy store started the day with 81 pieces of candy and received a delivery adding 6, but this time, they only sold 7 candies throughout the day. How many pieces of candy does the store now have left?

GPT-4o:

To determine how many pieces of candy the store has left, we will follow the same steps as before:

1. Start with the initial number of pieces of candy.
2. Add the number of pieces received in the delivery.
3. Subtract the number of pieces sold throughout the day.

Let's perform the calculations step-by-step:

1. Initial number of pieces of candy: 81
2. Add the delivery: \( 81 + 6 = 87 \)
3. Subtract the pieces sold: \( 87 - 7 = 80 \)

So, the store has 80 pieces of candy left at the end of the day.

### Answer: 80

Expected answer: 80

Correct? Yes

Problem: A sports store received a huge shipment of 6806 pairs of ice skates. After reconsideration, they decided to distribute the skates over 61 stores instead of the original 82. How many pairs of ice skates does each store receive now?

GPT-4o:

To determine how many pairs of ice skates each store receives with the new distribution plan, we need to divide the total number of pairs of ice skates by the new number of stores.

Given:
- Total pairs of ice skates = 6806
- Number of stores = 61

We perform the division:

\[ \frac{6806}{61} \]

First, let's set up the division:

\[ 6806 \div 61 \]

1. 61 goes into 680 (the first three digits of 6806) approximately 11 times (since \( 61 \times 11 = 671 \)).

2. Subtract 671 from 680:

\[ 680 - 671 = 9 \]

3. Bring down the next digit, which is 6, making it 96.

4. 61 goes into 96 approximately 1 time (since \( 61 \times 1 = 61 \)).

5. Subtract 61 from 96:

\[ 96 - 61 = 35 \]

So, the division is:

\[ 6806 \div 61 = 111 \text{ remainder } 35 \]

Since we are looking for the number of pairs each store receives, we consider only the quotient:

### Answer: 111

Expected answer: 6806/61

Correct? No

Problem: Suppose instead that the stationery store had 40 white erasers and 37 pink erasers initially. How many erasers would be there in total in that case?

GPT-4o:

To find the total number of erasers, we need to add the number of white erasers to the number of pink erasers.

Number of white erasers = 40
Number of pink erasers = 37

Total number of erasers = 40 + 37

Calculating the sum:
40 + 37 = 77

### Answer: 77

Expected answer: 77

Correct? Yes

Problem: The company found an error in their manufacturing record and realized they actually produced 43 batches of pens, not 10. Each batch still contained 39 pens. How many pens did the company actually produce?

GPT-4o:

To find the total number of pens produced, we need to multiply the number of pens in each batch by the corrected number of batches.

Each batch contains 39 pens, and the company actually produced 43 batches. Therefore, we calculate:

\[ 39 \text{ pens/batch} \times 43 \text{ batches} \]

First, we can break this multiplication into simpler parts:

\[ 39 \times 43 = 39 \times (40 + 3) \]
\[ = 39 \times 40 + 39 \times 3 \]
\[ = 1560 + 117 \]
\[ = 1677 \]

So, the company actually produced 1677 pens.

### Answer: 1677

Expected answer: 1677

Correct? Yes

Problem: Suppose that instead of each cow producing (99 + 58) litres of milk per day as previously stated, they actually produce only (5 + 58) litres of milk daily. How many litres of milk would the farm produce from cows in this case?

GPT-4o:

First, we need to determine how much milk each cow gives per day with the new amount:

\[ 5 + 58 = 63 \]

So, each cow gives 63 litres of milk per day.

Next, we calculate the total amount of milk produced by all 33 cows in a day:

\[ 33 \times 63 \]

To simplify the multiplication, we can break it down:

\[ 33 \times 63 = 33 \times (60 + 3) = 33 \times 60 + 33 \times 3 \]

Now, calculate each part separately:

\[ 33 \times 60 = 1980 \]

\[ 33 \times 3 = 99 \]

Adding these together:

\[ 1980 + 99 = 2079 \]

Thus, the farm produces 2079 litres of milk in a day with the new amount.

### Answer: 2079 litres

Expected answer: 2079

Correct? Yes

Problem: In the original scenario, a grape vine produces 3344 grapes and the farmer has 38 equally productive grape vines. Now consider a new situation. Let's say the farmer had 75 equally productive vines instead of 38. How many grapes would each vine have produced now?

GPT-4o:

To determine how many grapes each vine would produce if the farmer had 75 equally productive vines, we need to divide the total number of grapes by the new number of vines.

Given:
- Total number of grapes = 3344
- Number of grape vines = 75

We perform the division:

\[ \frac{3344}{75} \]

First, let's do the division step-by-step:

1. 3344 divided by 75.
2. 3344 ÷ 75 ≈ 44.5867

Since we typically round to the nearest whole number when dealing with discrete items like grapes, we round 44.5867 to 45.

So, each grape vine would produce approximately 45 grapes.

### Answer: 45

Expected answer: 3344/75

Correct? No

Problem: Considering the previous problem, suppose the region experienced a heavier snowfall of 90 cm (instead of 29 cm) today, while the 20 cm melt remained the same. How might this change the amount of snow now left?

GPT-4o:

To determine the new amount of snow left, we need to update the snowfall from today and then follow the same steps as before.

1. Snowfall from yesterday: 93 cm
2. Updated snowfall from today: 90 cm
3. Total updated snowfall: \( 93 \, \text{cm} + 90 \, \text{cm} = 183 \, \text{cm} \)

Next, we subtract the amount of snow that has melted:

4. Snow melted: 20 cm
5. Snow left: \( 183 \, \text{cm} - 20 \, \text{cm} = 163 \, \text{cm} \)

### Answer: 163 cm

Expected answer: 163

Correct? Yes

Problem: Following the previous scenario, suppose the farmer decides to change his approach and now puts 25 grapes in each bag instead of 33. He again eats 13 bags and gives away 50 bags. How many bags of grapes does the farmer have now?

GPT-4o:

First, we need to determine how many bags of grapes the farmer initially has when he puts 25 grapes in each bag. The farmer has 3069 grapes and puts 25 grapes in each bag. We can find the number of bags by dividing the total number of grapes by the number of grapes per bag:

\[
\text{Number of bags} = \frac{3069}{25}
\]

Performing the division:

\[
\frac{3069}{25} = 122.76
\]

Since the number of bags must be a whole number, we take the integer part, which is 122 bags (and there will be some grapes left over, but they do not form a complete bag).

Next, the farmer eats 13 bags of grapes and gives away 50 bags of grapes. We need to subtract these from the initial number of bags:

\[
\text{Bags left} = 122 - 13 - 50
\]

Calculating the above:

\[
122 - 13 = 109
\]
\[
109 - 50 = 59
\]

Therefore, the farmer has 59 bags of grapes left.

### Answer: 59

Expected answer: 1494/25

Correct? No

Problem: Following from the previous scenario, consider instead that the furniture store originally had 79 chairs, but this time, they only received a shipment adding 4 more chairs before selling 45 chairs in a single day. How many chairs are now in the store under this altered situation?

GPT-4o:

First, let's determine the total number of chairs after the shipment was received. The store initially had 79 chairs and received 4 more chairs:

\[ 79 + 4 = 83 \]

Next, we need to subtract the number of chairs sold in a single day from the total number of chairs in stock:

\[ 83 - 45 = 38 \]

Therefore, the number of chairs now in the store is 38.

### Answer: 38

Expected answer: 38

Correct? Yes

Problem: If you can drive 304 miles on a full tank of gas which is divided into 4 equal parts, you've found that you can drive a certain distance on one part of the tank. If you refill this part of the tank 47 times, how many miles in total could you potentially drive?

GPT-4o:

We have already determined that you can drive 76 miles on one part of the tank.

If you refill this part of the tank 47 times, we need to calculate the total distance you can drive by multiplying the distance you can drive on one part of the tank by the number of refills.

Given:
- Distance on one part of the tank = 76 miles
- Number of refills = 47

We perform the multiplication:
\[ 76 \text{ miles} \times 47 = 3572 \text{ miles} \]

So, if you refill one part of the tank 47 times, you could potentially drive 3572 miles.

### Answer: 3572 miles

Expected answer: 3572

Correct? Yes

Problem: If instead of a tank which can hold enough gas to drive 304 miles, you have a smaller tank which holds enough gas to drive 304 miles, and you divide the tank into 91 equal parts, how many miles can you drive on one part of the tank?

GPT-4o:

To determine how many miles you can drive on one part of the tank, we need to divide the total number of miles by the number of parts the tank is divided into.

Given:
- Total miles on a full tank = 304 miles
- Number of parts the tank is divided into = 91

We perform the division:
\[ \frac{304 \text{ miles}}{91} \approx 3.34 \text{ miles} \]

So, you can drive approximately 3.34 miles on one part of the tank.

### Answer: 3.34 miles

Expected answer: 304/91

Correct? No

Problem: In the previous scenario, the shop sells ice skates at 25 dollars a pair on sale. After the increase, a pair of ice skates is priced at 33 dollars. If a customer only has 70 dollars, how much money will they have left after buying a pair of ice skates during the sale?

GPT-4o:

To determine how much money the customer will have left after buying a pair of ice skates during the sale, we need to subtract the cost of the ice skates from the amount of money the customer has.

The customer has $70.
The cost of a pair of ice skates during the sale is $33.

So, the amount of money left after the purchase is:
\[ 70 - 33 = 37 \]

### Answer: $37

Expected answer: 37

Correct? Yes

Problem: In the previous scenario, the price of ice skates was 25 dollars a pair before the price increase. Now, consider a scenario where the original price of the ice skates was 79 dollars a pair instead of 25 dollars. If the price was increased by the same amount, 8 dollars, how much would a pair of ice skates cost now?

GPT-4o:

To determine the new cost of a pair of ice skates after the price increase, we need to add the increase in price to the original price.

The original price of a pair of ice skates is $79.
The increase in price is $8.

So, the new price is:
\[ 79 + 8 = 87 \]

### Answer: $87

Expected answer: 87

Correct? Yes

Problem: Continuing from the previous problem, if the river also carried a piece of debris that got an additional 94 miles downstream due to the wind in those 31 days, how far would the piece of debris have traveled in total?

GPT-4o:

To determine the total distance the piece of debris traveled, we need to add the distance traveled by the river to the additional distance carried by the wind.

From the previous problem, we know:
- Distance traveled by the river in 31 days = 2976 miles

Additional distance carried by the wind:
- Additional distance = 94 miles

We calculate the total distance as follows:
\[ \text{Total Distance} = \text{Distance by River} + \text{Additional Distance by Wind} \]
\[ \text{Total Distance} = 2976 \, \text{miles} + 94 \, \text{miles} \]
\[ \text{Total Distance} = 3070 \, \text{miles} \]

### Answer: 3070 miles

Expected answer: 3070

Correct? Yes

Problem: Continuing from the previous problem, suppose the river flow was less than initially thought. Rather than flowing at a speed of 96 miles per day, it actually flows at a speed of 12 miles per day. How far would the river have traveled in 31 days at this slower speed?

GPT-4o:

To determine how far the river would have traveled in 31 days at the slower speed, we need to multiply the new speed of the river by the number of days.

Given:
- New speed of the river = 12 miles per day
- Number of days = 31

We calculate the distance traveled as follows:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
\[ \text{Distance} = 12 \, \text{miles/day} \times 31 \, \text{days} \]
\[ \text{Distance} = 372 \, \text{miles} \]

### Answer: 372 miles

Expected answer: 372

Correct? Yes

Problem: Following our previous scenario, let's consider that instead of dividing by 73, the velocity of the star's light was divided by 42. What would be the resulting speed of the light emitted by the star, given this new calculation?

GPT-4o:

To find the resulting speed of the light emitted by the star when its velocity is divided by 42, we need to perform the division:

\[ \text{Velocity} = \frac{1095 \text{ miles/second}}{42} \]

First, we perform the division:

\[ 1095 \div 42 \]

To simplify this, we can use long division:

1. 42 goes into 109 twice (since \(42 \times 2 = 84\)).
2. Subtract 84 from 109 to get 25.
3. Bring down the next digit (5), making it 255.
4. 42 goes into 255 six times (since \(42 \times 6 = 252\)).
5. Subtract 252 from 255 to get 3.

So, the division results in:

\[ 1095 \div 42 = 26 \text{ R } 3 \]

Since we are looking for the resulting speed, we consider the quotient:

### Answer: 26 miles per second

Expected answer: 365/14

Correct? No

Problem: After 40 years instead of 51, a massive wind storm passes through the area removing 84 lemons from the total number of lemons the tree produced. Given this earlier timing of the wind storm, how many lemons did the lemon tree produce after the wind storm?

GPT-4o:

First, we need to calculate the total number of lemons produced by the lemon tree over 40 years.

The tree produces 99 lemons each year, so over 40 years, the total number of lemons produced is:
\[ 99 \text{ lemons/year} \times 40 \text{ years} = 3960 \text{ lemons} \]

Next, we need to account for the 84 lemons removed by the wind storm. We subtract these 84 lemons from the total number of lemons produced:
\[ 3960 \text{ lemons} - 84 \text{ lemons} = 3876 \text{ lemons} \]

### Answer: 3876

Expected answer: 3876

Correct? Yes

Problem: Instead of the initial 89 blocks in each pack, John found out that 41 blocks were in each of his 4 packs. After losing 72 blocks, how many blocks does John have now?

GPT-4o:

First, we need to determine the total number of building blocks John initially had. Since each pack contains 41 blocks and John had 4 packs, we calculate:

\[ 4 \times 41 = 164 \]

Next, we account for the 72 blocks that John lost. We subtract the lost blocks from the initial total:

\[ 164 - 72 = 92 \]

Therefore, John now has 92 building blocks.

### Answer: 92

Expected answer: 92

Correct? Yes

Problem: In a revised count, it was discovered that the seashells were actually spread over 92 meters of the beach instead of 72 meters as previously thought. Now, how many seashells are there on average for each meter of the beach?

GPT-4o:

To find the new average number of seashells per meter, we need to divide the total number of seashells by the revised total number of meters.

Given:
- Total number of seashells = 5544
- Revised total number of meters = 92

We perform the division:

\[ \frac{5544}{92} \]

First, let's simplify the division step-by-step:

1. Divide 5544 by 92:
\[ 5544 \div 92 = 60.26 \]

So, there are approximately 60.26 seashells on average for every meter of the beach.

### Answer: 60.26

Expected answer: 1386/23

Correct? No

Problem: In a revision to the previous count, it turns out there were only 38 birds instead of 67 at the zoo originally. Given this, how many animals in the zoo were not birds?

GPT-4o:

To determine the number of animals in the zoo that are not birds, we need to subtract the revised number of birds from the total number of animals.

Total number of animals in the zoo: 82
Revised number of birds in the zoo: 38

Number of animals that are not birds = Total number of animals - Number of birds
= 82 - 38
= 44

### Answer: 44

Expected answer: 44

Correct? Yes

Problem: In the same construction company's new plan, instead of building 36 houses they are planning to build 75 houses a month. If they managed to keep up this pace for the same period of 46 months, how many houses would they have built in total with this increased productivity?

GPT-4o:

To determine the total number of houses built by the construction company over 46 months with the new plan of building 75 houses per month, we need to multiply the number of houses built per month by the number of months.

Given:
- Number of houses built per month = 75
- Number of months = 46

We calculate the total number of houses as follows:
\[ \text{Total houses} = 75 \times 46 \]

First, we can break down the multiplication for easier calculation:
\[ 75 \times 46 = 75 \times (40 + 6) \]
\[ = 75 \times 40 + 75 \times 6 \]

Now, calculate each part:
\[ 75 \times 40 = 3000 \]
\[ 75 \times 6 = 450 \]

Add these two results together:
\[ 3000 + 450 = 3450 \]

Therefore, the total number of houses built over 46 months with the increased productivity is:
### Answer: 3450

Expected answer: 3450

Correct? Yes

Problem: Continuing from the previous situation, suppose the factory decided to cut down its monthly goal and now aims to produce only 50 windows in a month. Based on this new target, how many windows does the factory need to produce each day if it still operates for 31 days in a month?

GPT-4o:

To determine how many windows the factory needs to produce each day based on the new target, we divide the new total number of windows by the number of days in the month.

Given:
- New total windows to produce in a month: 50
- Number of days in the month: 31

We perform the division:

\[ \frac{50}{31} \]

First, let's do the division step-by-step:

1. 50 divided by 31.
2. 31 goes into 50 one time (since \( 31 \times 1 = 31 \)).
3. Subtract 31 from 50 to get 19.

So, the division is:

\[ 50 \div 31 \approx 1.6129 \]

Therefore, the factory needs to produce approximately 1.6129 windows each day to meet its new goal. Since the factory cannot produce a fraction of a window, it would need to produce either 1 or 2 windows per day, depending on how they manage the production schedule.

### Answer: 1.6129

Expected answer: 50/31

Correct? No

Problem: After the 8 episodes of the 3rd season were aired, the TV series continued to air more episodes. In the remaining part of the 3rd season, they aired 80 episodes. They have also just finished airing all the 82 episodes of the 4th season. How many episodes have aired in total now?

GPT-4o:

To find the total number of episodes that have aired, we need to sum the episodes from all four seasons, including the additional episodes from the 3rd season.

1. The 1st season had 66 episodes.
2. The 2nd season had 67 episodes.
3. The 3rd season initially aired 8 episodes, and then aired 80 more episodes, making a total of \( 8 + 80 = 88 \) episodes for the 3rd season.
4. The 4th season had 82 episodes.

Now, we add these numbers together:

\[ 66 + 67 + 88 + 82 \]

First, add the episodes from the 1st and 2nd seasons:

\[ 66 + 67 = 133 \]

Next, add the episodes from the 3rd season:

\[ 133 + 88 = 221 \]

Finally, add the episodes from the 4th season:

\[ 221 + 82 = 303 \]

So, the total number of episodes that have aired is 303.

### Answer: 303

Expected answer: 303

Correct? Yes

Problem: Let's imagine that in the first two seasons of the TV series there were fewer episodes than we initially thought. The 1st season had 66 episodes and the second season only had 8. After 8 more episodes of the 3rd season aired, how many total episodes have aired so far?

GPT-4o:

To find the total number of episodes that have aired, we need to sum the episodes from all three seasons with the updated information.

1. The 1st season had 66 episodes.
2. The 2nd season had 8 episodes.
3. The 3rd season has aired 8 episodes so far.

We add these numbers together:

\[ 66 + 8 + 8 \]

First, add the episodes from the 1st and 2nd seasons:

\[ 66 + 8 = 74 \]

Next, add the episodes from the 3rd season:

\[ 74 + 8 = 82 \]

So, the total number of episodes that have aired is 82.

### Answer: 82

Expected answer: 82

Correct? Yes

Problem: The leprechaun realizes that there was a mistake in the first part of his magical lock code. Instead of multiplying the initial set of gold coin count by 24 after adding 48, he should have multiplied it by 29. Given this new information, what should be the correct initial value to unlock the magical lock?

GPT-4o:

Let's revisit the problem with the new information:

1. The leprechaun adds 39 gold coins to the pot.
2. Then, he adds another 47 gold coins.

First, we calculate the total number of coins added by the leprechaun:
\[ 39 + 47 = 86 \]

3. A fairy takes away 8 gold coins from the pot.

We subtract the coins taken by the fairy from the total:
\[ 86 - 8 = 78 \]

4. The new total of coins (78) becomes a code to a magical lock. This code must be enhanced by adding 48 to it only once.

We add 48 to the code:
\[ 78 + 48 = 126 \]

5. According to the new information, the enhanced code should be multiplied by 29 instead of 24.

We perform the multiplication:
\[ 126 \times 29 = 3654 \]

Thus, the correct initial value to unlock the magical lock is:
### Answer: 3654

Expected answer: 3654

Correct? Yes

Problem: Following the previous scenarios, let's reconsider the scenario like this: suppose the amount that John decided to spend on lunch was not 38 dollars, but actually 68 dollars. How much money does he have left in his wallet after this change?

GPT-4o:

First, let's start with the amount of money John has after finding the 35-dollar bill. He initially has 98 dollars, and he finds an additional 35 dollars:

\[ 98 + 35 = 133 \]

Next, John spends 68 dollars on lunch. We subtract this amount from the total he has after finding the money:

\[ 133 - 68 = 65 \]

So, John has 65 dollars left in his wallet after spending 68 dollars on lunch.

### Answer: 65

Expected answer: 65

Correct? Yes

Problem: In the bottling factory, an upgrade to the machines increases the manufacturing speed by 19 bottles per minute. After the upgrade, how many bottles does the factory fill every minute?

GPT-4o:

First, we need to determine the current rate at which the factory fills bottles per minute. From the previous calculation, we know that the factory fills 64 bottles per minute.

With the upgrade, the manufacturing speed increases by 19 bottles per minute. Therefore, we add this increase to the current rate:

\[ \text{New rate} = 64 \text{ bottles per minute} + 19 \text{ bottles per minute} \]

\[ \text{New rate} = 83 \text{ bottles per minute} \]

### Answer: 83 bottles per minute

Expected answer: 83

Correct? Yes

Problem: In the bottling factory, imagine that before the upgrade, the machinery was even slower, filling bottles at a rate of 3840 bottles every 18 hours, instead of 60 minutes. How many bottles were being filled every hour in that case?

GPT-4o:

To determine how many bottles were being filled every hour before the upgrade, we need to divide the total number of bottles filled in 18 hours by the number of hours.

Given that the factory filled 3840 bottles in 18 hours, we perform the following calculation:

\[ \text{Bottles per hour} = \frac{3840 \text{ bottles}}{18 \text{ hours}} \]

\[ \text{Bottles per hour} = 213.33 \text{ bottles} \]

### Answer: 213.33 bottles

Expected answer: 640/3

Correct? No

Problem: In the previous scenario, imagine that instead of adding 49 treasures to each gnome's share, the dragon decided to add 79 treasures. How many treasures does each gnome now have?

GPT-4o:

First, we need to determine how many treasures each gnome initially receives when the dragon divides the 1702 treasures among the 37 gnomes.

To find this, we perform the division:
\[ \frac{1702}{37} \]

Performing the division:
\[ 1702 \div 37 = 46 \]

So, each gnome initially receives 46 treasures.

Next, the dragon decides to add another 79 treasures to each gnome. Therefore, we need to add 79 to the initial 46 treasures each gnome has:
\[ 46 + 79 = 125 \]

Thus, each gnome now has 125 treasures.

### Answer: 125

Expected answer: 125

Correct? Yes

Problem: Continuing from the previous scenario, let's say the frog has increased its leaping ability and can now hop 83 inches in total with an average of 6 inches per leap. How many leaps does it take for the frog to complete this new journey?

GPT-4o:

To determine the number of leaps the frog takes to cover 83 inches, we need to divide the total distance by the average distance per leap.

Given:
- Total distance = 83 inches
- Distance per leap = 6 inches

We calculate the number of leaps as follows:
\[ \text{Number of leaps} = \frac{\text{Total distance}}{\text{Distance per leap}} \]
\[ \text{Number of leaps} = \frac{83 \text{ inches}}{6 \text{ inches/leap}} \]

Performing the division:
\[ \text{Number of leaps} = 13.8333\ldots \]

Since the frog cannot make a fraction of a leap, we round up to the next whole number because the frog will need one additional leap to cover the remaining distance after 13 full leaps.

### Answer: 14

Expected answer: 83/6

Correct? No

Problem: Continuing with the scenario of the cheese factory, let's say the factory now operates 31 days a month rather than 85 days, with the overall cheese production still being 5865 kg. How much cheese would now be produced each day?

GPT-4o:

To find out how much cheese the factory produces each day when it operates for 31 days a month, we need to divide the total amount of cheese by the new number of days.

Given:
- Total cheese produced = 5865 kg
- Number of days = 31

We perform the division:

\[
\frac{5865 \text{ kg}}{31 \text{ days}} = 189 \text{ kg/day}
\]

So, the factory would produce 189 kg of cheese each day.

### Answer: 189 kg/day

Expected answer: 5865/31

Correct? No

Problem: In a new scenario, where an exact amount of 1 cucumber is damaged instead of 74 in the section growing 38 plants, how many cucumbers would now be available for sale from that section?

GPT-4o:

We already know from the previous calculation that the total yield from 38 plants is:
\[ \text{Total yield from 38 plants} = 38 \text{ plants} \times 48 \text{ cucumbers per plant} = 1824 \text{ cucumbers} \]

Now, if only 1 cucumber is damaged, we subtract this from the total yield:
\[ \text{Cucumbers available for sale} = 1824 \text{ cucumbers} - 1 \text{ cucumber} = 1823 \text{ cucumbers} \]

### Answer: 1823

Expected answer: 1823

Correct? Yes

Problem: In the original problem, the big grizzly bear ate 2726 ounces of salmon over a 58-day summer period. However, what would have been the daily average if the bear had eaten the same total amount of salmon but over a shorter 50-day period instead?

GPT-4o:

To find the new daily average amount of salmon the bear eats over a 50-day period, we need to divide the total amount of salmon by the new number of days.

First, we have the total amount of salmon:
\[ 2726 \text{ ounces} \]

Next, we have the new number of days:
\[ 50 \text{ days} \]

Now, we perform the division:
\[ \frac{2726 \text{ ounces}}{50 \text{ days}} \]

Let's do the division step-by-step:
\[ 2726 \div 50 = 54.52 \]

So, the bear would eat approximately 54.52 ounces of salmon each day on average over a 50-day period.

### Answer: 54.52 ounces

Expected answer: 1363/25

Correct? No

Problem: Let's consider the farmer's situation again. What if, instead of 77 days, the farmer only collected carrots from his patches of land for a period of 22 days. How many total carrots would he have collected from his patches during this time?

GPT-4o:

First, we need to determine the total number of carrots the farmer collects from both patches of land in one day.

The first patch yields 26 carrots, and the second patch yields 16 carrots. Therefore, the total number of carrots collected in one day is:
\[ 26 + 16 = 42 \]

Next, we need to find out how many carrots the farmer collects over 22 days. We do this by multiplying the daily total by the number of days:
\[ 42 \times 22 \]

To simplify the multiplication, we can break it down:
\[ 42 \times 22 = 42 \times (20 + 2) = (42 \times 20) + (42 \times 2) \]

Calculating each part:
\[ 42 \times 20 = 840 \]
\[ 42 \times 2 = 84 \]

Adding these results together:
\[ 840 + 84 = 924 \]

### Answer: 924

Expected answer: 924

Correct? Yes

Problem: In the next batch, the chef decided to add an extra 25g of sugar to her special cake recipe to make it sweeter. How much sugar does she use now for each cake?

GPT-4o:

From the previous calculation, we know that the chef originally uses 69 grams of sugar per cake. If she decides to add an extra 25 grams of sugar to each cake, we simply add this amount to the original amount of sugar per cake.

Original sugar per cake: 69 grams
Extra sugar added: 25 grams

Total sugar per cake:
\[ 69 \text{ grams} + 25 \text{ grams} = 94 \text{ grams} \]

### Answer: 94 grams per cake.

Expected answer: 94

Correct? Yes

Problem: After receiving some feedback, the chef used less sugar in her next batch of cakes. She used only 65g for seven cakes. How much sugar does she use now for each cake?

GPT-4o:

To determine how much sugar the chef uses for each cake in the new batch, we need to divide the total amount of sugar by the number of cakes.

Given:
- Total sugar used = 65 grams
- Number of cakes = 7

We perform the division:
\[ \frac{65 \text{ grams}}{7 \text{ cakes}} \approx 9.29 \text{ grams per cake} \]

### Answer: 9.29 grams per cake.

Expected answer: 65/7

Correct? No

Problem: Following up with the earlier situation of the kite maker who had 41 blue, 63 red, and 57 green kites, gave away 98 kites, and created an additional 3 kites: If the kite maker decided to ramp up production and multiply their current inventory by 18, then add the original inventory to this increased production, how many kites would the they have now?

GPT-4o:

First, let's recall the current inventory of kites after the previous operations:

\[ 66 \text{ kites} \]

Next, the kite maker decides to multiply this current inventory by 18:

\[ 66 \times 18 \]

Calculating this:

\[ 66 \times 18 = 1188 \]

Now, we add the original inventory (before giving away and creating additional kites) to this increased production. The original inventory was:

\[ 41 \text{ (blue)} + 63 \text{ (red)} + 57 \text{ (green)} = 161 \]

Adding the original inventory to the increased production:

\[ 1188 + 161 = 1349 \]

So, the kite maker would have:

### Answer: 1349

Expected answer: 1254

Correct? No

Problem: After the kite maker gave away some kites and made new ones, let's change the circumstances a bit. Instead of giving away 98 kites, they only gave away 19 kites. Taking into account that they still made an additional 3 kites, how many kites does the maker have now?

GPT-4o:

First, let's start with the initial total number of kites the kite maker has:

\[ 41 \text{ (blue)} + 63 \text{ (red)} + 57 \text{ (green)} \]

Adding these together:

\[ 41 + 63 + 57 = 161 \]

Next, the kite maker gives away 19 kites. We subtract this from the initial total:

\[ 161 - 19 = 142 \]

Then, the kite maker creates an additional 3 kites. We add this to the remaining total:

\[ 142 + 3 = 145 \]

So, the kite maker now has:

### Answer: 145

Expected answer: 145

Correct? Yes

Problem: After reviewing their production numbers, the teddy bear company realized that they actually produce 7644 teddy bears in a span of 50 days, not 91 days. How many teddy bears does the company approximately makes each day now?

GPT-4o:

To find the approximate number of teddy bears produced each day with the updated information, we need to divide the total number of teddy bears by the new number of days.

\[ \text{Number of teddy bears per day} = \frac{7644}{50} \]

Performing the division:

\[ 7644 \div 50 = 152.88 \]

Rounding to the nearest whole number, the company produces approximately 153 teddy bears each day.

### Answer: 153

Expected answer: 3822/25

Correct? No

Problem: In the previous question, we considered a speed decrease from 68 mph to 28 mph. For this question, let's assume the train didn't have to slow down that much, but travelled instead at a speed of 56 mph. Over the same 21 hours, calculate the revised total distance travelled by the train.

GPT-4o:

To calculate the revised total distance traveled by the train at the new speed, we use the following steps:

1. **Distance at revised speed:**
   - Speed = 56 mph
   - Time = 21 hours
   - Distance = Speed × Time
   - Distance = 56 mph × 21 hours

Now, we perform the multiplication:

\[ 56 \times 21 = 56 \times (20 + 1) = (56 \times 20) + (56 \times 1) \]
\[ 56 \times 20 = 1120 \]
\[ 56 \times 1 = 56 \]
\[ 1120 + 56 = 1176 \]

So, the revised total distance traveled by the train is 1176 miles.

### Answer: 1176 miles

Expected answer: 252

Correct? No

Problem: The alien spaceship initially traveled 95 light-years to reach Earth. But let's consider a scenario where they could only stop 60 light-years along the way at a space buoy for refueling instead of 70 light-years. In that case, how many light-years would the spaceship have to travel after refueling to reach Earth?

GPT-4o:

To determine how many light-years the alien spacecraft would travel after refueling in the new scenario, we need to subtract the distance it traveled before refueling from the total distance to Earth.

The total distance to Earth is 95 light-years.
The distance traveled before refueling in this scenario is 60 light-years.

So, the distance traveled after refueling is:
\[ 95 \text{ light-years} - 60 \text{ light-years} = 35 \text{ light-years} \]

### Answer: 35 light-years.

Expected answer: 35

Correct? Yes

Problem: In our previous scenario, the character started with a health value of 82. What if, instead of being attacked and losing 69 health points, he was attacked by a weaker rival character and only lost 33 health points. What would be the character's remaining health value in this new scenario?

GPT-4o:

To find the character's remaining health value in this new scenario, we need to subtract the amount of health lost from the initial health value.

Initial health value: 82
Health lost: 33

Remaining health value = Initial health value - Health lost
Remaining health value = 82 - 33
Remaining health value = 49

### Answer: 49

Expected answer: 49

Correct? Yes

Problem: The skateboard company decides to extend its production over 21 days but had to discard 65 skateboards due to quality issues. How many skateboards did they make in the span of these 21 days after discarding the faulty ones?

GPT-4o:

First, we need to calculate the total number of skateboards made in 21 days. We know the company makes 128 skateboards per day.

Total skateboards made in 21 days:
\[ 128 \times 21 = 2688 \]

Next, we subtract the number of skateboards discarded due to quality issues:
\[ 2688 - 65 = 2623 \]

### Answer: 2623

Expected answer: 2623

Correct? Yes

Problem: Suppose now the company produces 82 freestyle skateboards instead of 36, while still producing 92 downhill skateboards daily. How many skateboards does it make in total in a day?

GPT-4o:

To find the total number of skateboards made in a day with the updated production numbers, we need to add the number of freestyle skateboards and the number of downhill skateboards.

Number of freestyle skateboards: 82
Number of downhill skateboards: 92

Total number of skateboards made in a day:
\[ 82 + 92 = 174 \]

### Answer: 174

Expected answer: 174

Correct? Yes

Problem: The café also has another branch. If the other branch also made the same amount of money from selling hot chocolate and marshmallows in a day, what would be the total revenue from both branches?

GPT-4o:

To find the total revenue from both branches, we need to double the revenue from one branch since both branches made the same amount of money.

From the previous calculation, we know that one branch made 3334 dollars in a day.

Therefore, the total revenue from both branches is:
\[ \text{Total revenue from both branches} = 2 \times \text{Revenue from one branch} \]
\[ \text{Total revenue from both branches} = 2 \times 3334 \, \text{dollars} \]
\[ \text{Total revenue from both branches} = 6668 \, \text{dollars} \]

### Answer: 6668 dollars

Expected answer: 6668

Correct? Yes

Problem: Suppose that on another day, the café priced their hot chocolate differently: they sold it for 42 dollars per cup but only sold 78 cups, and made an additional 24 dollars from selling marshmallows. What would be the total revenue of that day?

GPT-4o:

To find the total revenue for this day, we need to calculate the revenue from selling hot chocolate and then add the revenue from selling marshmallows.

First, calculate the revenue from selling hot chocolate:
\[ \text{Revenue from hot chocolate} = \text{Price per cup} \times \text{Number of cups sold} \]
\[ \text{Revenue from hot chocolate} = 42 \, \text{dollars} \times 78 \, \text{cups} \]
\[ \text{Revenue from hot chocolate} = 3276 \, \text{dollars} \]

Next, add the additional revenue from selling marshmallows:
\[ \text{Total revenue} = \text{Revenue from hot chocolate} + \text{Revenue from marshmallows} \]
\[ \text{Total revenue} = 3276 \, \text{dollars} + 24 \, \text{dollars} \]
\[ \text{Total revenue} = 3300 \, \text{dollars} \]

### Answer: 3300 dollars

Expected answer: 3300

Correct? Yes

Problem: Suppose that the river tour boat could originally only hold 58 adults. It has now been modified to increase its capacity by 3 more adults. Taking this into account, how many total adults can the boat hold now?

GPT-4o:

To find the new total capacity of the boat for adults, we need to add the increase in capacity to the original capacity.

The original capacity of the boat is:
\[ 58 \text{ adults} \]

The increase in capacity is:
\[ 3 \text{ adults} \]

Adding these together gives us:
\[ 58 \text{ adults} + 3 \text{ adults} = 61 \text{ adults} \]

### Answer: 61

Expected answer: 61

Correct? Yes

Problem: If in the next month, the monkey received additional bananas, bringing its total to ((360 bananas / 12 months) + 16 extra bananas + 79 more bananas) but then 67 of them were stolen, how many bananas does the monkey have now?

GPT-4o:

First, let's determine how many bananas the monkey initially receives per month from the 360 bananas distributed over 12 months:

\[
\frac{360 \text{ bananas}}{12 \text{ months}} = 30 \text{ bananas per month}
\]

Next, we add the 16 extra bananas the monkey gets each month:

\[
30 \text{ bananas per month} + 16 \text{ extra bananas} = 46 \text{ bananas per month}
\]

Now, we add the 79 more bananas the monkey received:

\[
46 \text{ bananas per month} + 79 \text{ more bananas} = 125 \text{ bananas}
\]

Finally, we subtract the 67 bananas that were stolen:

\[
125 \text{ bananas} - 67 \text{ stolen bananas} = 58 \text{ bananas}
\]

### Answer: 58

Expected answer: 58

Correct? Yes

Problem: What if, instead of getting 360 bananas a year, the monkey only got 360 bananas every 20 months? If the monkey also got 16 extra bananas per month, how many bananas would the monkey get in a month?

GPT-4o:

First, we need to determine how many bananas the monkey gets per month from the 360 bananas distributed over 20 months.

\[
\frac{360 \text{ bananas}}{20 \text{ months}} = 18 \text{ bananas per month}
\]

Next, we add the 16 extra bananas the monkey gets each month:

\[
18 \text{ bananas per month} + 16 \text{ extra bananas} = 34 \text{ bananas per month}
\]

### Answer: 34

Expected answer: 34

Correct? Yes

Problem: Continuing from the previous problem, what if the starfish was an unusual species with 17 arms instead of 5? If there were still 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?

GPT-4o:

To determine how many degrees are in each section when a circle is equally divided among the starfish's 17 arms, we need to divide the total degrees in a circle by the number of arms.

The total degrees in a circle is 360 degrees. The starfish has 17 arms.

We perform the division:
\[ \frac{360 \text{ degrees}}{17 \text{ arms}} \approx 21.18 \text{ degrees per arm} \]

### Answer: 21.18 degrees per arm.

Expected answer: 360/17

Correct? No

Problem: The toy store received a special toy order of 1 rare stuffed panda in addition to their previous order. After adding the special order, how many stuffed animals will the toy store have in total?

GPT-4o:

To find the new total number of stuffed animals after adding the special order of 1 rare stuffed panda, we need to add this to the previous total.

The previous total number of stuffed animals was 146.

Adding the rare stuffed panda:
\[ 146 + 1 = 147 \]

### Answer: 147

Expected answer: 147

Correct? Yes

Problem: On Wednesday, Rachel watched 68 minutes of TV but decided to reduce her screen time by the amount she had watched on Monday. How many total minutes of TV did Rachel watch on Monday, Tuesday and Wednesday after reducing her Wednesday screen time?

GPT-4o:

First, let's recall the minutes Rachel watched on Monday and Tuesday:
- Monday: 35 minutes
- Tuesday: 61 minutes

On Wednesday, Rachel initially watched 68 minutes of TV. She decided to reduce her screen time by the amount she had watched on Monday, which is 35 minutes.

To find the reduced screen time on Wednesday, we subtract the 35 minutes from the 68 minutes:
\[ 68 - 35 = 33 \]

Now, we add the total minutes watched on Monday, Tuesday, and the reduced time on Wednesday:
\[ 35 + 61 + 33 = 129 \]

### Answer: 129

Expected answer: 129

Correct? Yes

Problem: If on Monday instead of watching 35 minutes of TV, Rachel watched 37 minutes. Then, how many total minutes of TV did she watch on Monday and Tuesday?

GPT-4o:

First, let's determine how many minutes Rachel watched on Tuesday. She watched 48 minutes in the morning and 13 minutes in the evening.

To find the total minutes watched on Tuesday, we add these two amounts:
\[ 48 + 13 = 61 \]

Now, we know Rachel watched 37 minutes on Monday.

So, the total minutes watched on both days is:
\[ 37 + 61 = 98 \]

### Answer: 98

Expected answer: 98

Correct? Yes

Problem: Earlier we calculated that a dolphin needs approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. But what if instead, each day the dolphin had 96 kilograms of fish and only 8 kilograms of squid? Then, how much total food in kilograms would the dolphin need if it ate this diet unchanged for 59 days?

GPT-4o:

To determine the total amount of food a dolphin needs over 59 days with the new diet, we first calculate the daily total and then multiply by the number of days.

1. Calculate the total daily intake with the new diet:
   - Fish: 96 kilograms
   - Squid: 8 kilograms
   - Total daily intake = 96 kg (fish) + 8 kg (squid) = 104 kg

2. Multiply the total daily intake by the number of days:
   - Total intake over 59 days = 104 kg/day * 59 days

Let's perform the multiplication:
\[ 104 \times 59 = 104 \times (60 - 1) = 104 \times 60 - 104 \times 1 \]
\[ 104 \times 60 = 6240 \]
\[ 104 \times 1 = 104 \]
\[ 6240 - 104 = 6136 \]

So, the dolphin would need a total of 6136 kilograms of food over 59 days with the new diet.

### Answer: 6136 kilograms

Expected answer: 6136

Correct? Yes

Problem: Following the previous problem, if Mandy decides to multiply the numbers of the building blocks she ends up with by the result of dividing 215 by 43, how many building blocks would she have then?

GPT-4o:

First, let's determine the result of dividing 215 by 43:

\[ 215 \div 43 = 5 \]

Next, we use the number of building blocks Mandy ended up with from the previous problem, which is 1098, and multiply it by the result of the division:

\[ 1098 \times 5 \]

To perform the multiplication:

\[ 1098 \times 5 = 5490 \]

So, Mandy would have 5490 building blocks after performing this multiplication.

### Answer: 5490

Expected answer: 5490

Correct? Yes

Problem: Continuing with the previous problem, suppose Mandy initially had 18 building blocks and received another 55, instead of the original 43. If she then multiplies the total by the initial 18 building blocks she had, how many building blocks would she have now?

GPT-4o:

First, let's determine the total number of building blocks Mandy has after receiving another 55 blocks.

Initial number of blocks: 18
Additional blocks received: 55

Total blocks after receiving more:
\[ 18 + 55 = 73 \]

Next, Mandy decides to multiply this total by the initial number of blocks she had:

\[ 73 \times 18 \]

To perform the multiplication, we can break it down step-by-step:

\[ 73 \times 18 = 73 \times (10 + 8) = 73 \times 10 + 73 \times 8 \]

Calculating each part:

\[ 73 \times 10 = 730 \]
\[ 73 \times 8 = 584 \]

Adding these results together:

\[ 730 + 584 = 1314 \]

So, Mandy would have 1314 building blocks in the end.

### Answer: 1314

Expected answer: 1314

Correct? Yes

Problem: Suppose our ballerina decided to lessen her weekend practices to (28 - 11) hours but increased the frequency to 66 times. How many hours did she practice in total on the weekends now?

GPT-4o:

First, let's determine how many hours the ballerina practices on a regular day.

She practices for \( 28 - 11 \) hours a day:
\[ 28 - 11 = 17 \text{ hours} \]

Now, she practices this amount 66 times on the weekends:
\[ 17 \times 66 = 1122 \text{ hours} \]

### Answer: 1122 hours

Expected answer: 1122

Correct? Yes

Problem: After the manufacturer's initial count of the standard cards and the division of premium cards, they discover a miscalculation. Instead of 59 different kinds of cards in the deck, there are actually 90 kinds. If for each kind, there are still 59 cards, how many total standard cards are there in this deck?

GPT-4o:

To find the total number of standard cards in the deck, we need to multiply the corrected number of different kinds of cards by the number of cards for each kind.

Given:
- Corrected number of different kinds of cards = 90
- Number of cards for each kind = 59

We calculate the total number of standard cards as follows:
\[ 90 \times 59 \]

First, we can use the distributive property to simplify the multiplication:
\[ 90 \times 59 = 90 \times (60 - 1) \]
\[ = 90 \times 60 - 90 \times 1 \]
\[ = 5400 - 90 \]
\[ = 5310 \]

Thus, the total number of standard cards in the deck is:
### Answer: 5310

Expected answer: 5310

Correct? Yes

Problem: The farmer reevaluates his count and realizes that he made a mistake in his initial counting. He actually added 65 new vines to his field, instead of 93, then added 73 more vines and had 92 vines die. How many grapevines does he have in his field now with this corrected count?

GPT-4o:

To determine the correct number of grapevines the farmer has now, we need to follow these steps:

1. Calculate the total number of new vines added with the corrected count.
2. Subtract the number of vines that have died from the total number of new vines.

First, let's add the new vines with the corrected count:
\[ 65 + 73 = 138 \]

Next, subtract the number of vines that have died:
\[ 138 - 92 = 46 \]

So, with the corrected count, the farmer now has 46 grapevines.

### Answer: 46

Expected answer: 46

Correct? Yes

Problem: In our previous scenario, suppose instead of covering the distance in 20 equal stages, the bus decided to only stop 4 times, dividing the journey into equal parts. In that case, how many miles would the bus need to travel per stage?

GPT-4o:

If the bus stops 4 times, it means the journey is divided into 5 equal parts (since the first part is before the first stop, and each subsequent stop divides the remaining journey).

To find out how many miles the bus travels per stage, we divide the total distance by the number of parts:

\[
\text{Miles per stage} = \frac{\text{Total distance}}{\text{Number of parts}} = \frac{1300 \text{ miles}}{5}
\]

Performing the division:

\[
\frac{1300}{5} = 260
\]

So, the bus would need to travel 260 miles per stage.

### Answer: 260 miles per stage.

Expected answer: 325

Correct? No

Problem: Suppose the region actually usually receives 69 inches of rain each year, instead of 53 as we previously thought. If it still received 7 inches less than the usual amount in the year we're considering, how many inches of rain did it receive that year?

GPT-4o:

To determine how many inches of rain the region received in the year under consideration, we need to subtract 7 inches from the usual amount of 69 inches.

First, we start with the usual amount of rain:
\[ 69 \text{ inches} \]

Next, we subtract the 7 inches less than the usual amount:
\[ 69 - 7 \]

Performing the subtraction:
\[ 69 - 7 = 62 \]

Therefore, the region received 62 inches of rain that year.

### Answer: 62

Expected answer: 62

Correct? Yes

Problem: Originally, the watchmaker removed 80 gears from the watch, leaving a certain number of gears. But what if the watchmaker only removed 8 gears instead of 80 from the total of 98 gears in the main mechanism and 61 gears in a side mechanism? How many gears would remain in the watch?

GPT-4o:

First, we calculate the total number of gears in the watch initially by adding the gears in the main mechanism and the side mechanism:

\[ 98 \text{ gears (main mechanism)} + 61 \text{ gears (side mechanism)} = 159 \text{ gears} \]

If the watchmaker removed only 8 gears instead of 80, we subtract 8 gears from the total:

\[ 159 \text{ gears} - 8 \text{ gears removed} = 151 \text{ gears} \]

Thus, the number of gears that would remain in the watch is:

### Answer: 151

Expected answer: 151

Correct? Yes

Problem: In addition to the binoculars already distributed, each store received an additional shipment of binoculars from a second manufacturing facility. The second facility produced 4104 binoculars and divided them equally among 57 stores. After accounting for this additional shipment, how many binoculars does each store end up with in total?

GPT-4o:

First, we need to determine how many binoculars each store receives from the second shipment. We do this by dividing the total number of binoculars from the second facility by the number of stores:

\[ \frac{4104}{57} \]

Performing the division:

\[ 4104 \div 57 = 72 \]

So, each store receives 72 binoculars from the second shipment.

Next, we add the binoculars from the second shipment to the binoculars each store already had after the first distribution (which was 9 binoculars):

\[ 9 + 72 = 81 \]

Therefore, each store ends up with 81 binoculars in total after accounting for both shipments.

### Answer: 81

Expected answer: 81

Correct? Yes

Problem: In a revision to the initial report, it turns out that 19 defective pieces were found in each store's binocular stock, rather than the originally believed 25. After making this correction, how many binoculars does each store end up with from the initial shipment?

GPT-4o:

First, we need to determine how many binoculars each store receives from the initial shipment. We already calculated this in the previous problem:

\[ \frac{1462}{43} = 34 \]

So, each store initially receives 34 binoculars.

Next, we subtract the 19 defective pieces from each store's stock:

\[ 34 - 19 = 15 \]

Therefore, each store ends up with 15 binoculars after accounting for the corrected number of defective pieces.

### Answer: 15

Expected answer: 15

Correct? Yes

Problem: Following the previous scenario, let's revisit the promotional event. Suppose this time the shop had decided to multiply the total number of cameras by 56 instead of 77 after receiving the same initial stock of 71 new DSLR cameras. How many cameras would the shop have had for promotion in this case?

GPT-4o:

First, let's determine the total number of DSLR cameras in the shop after the delivery. The shop initially has 25 DSLR cameras and receives 71 new ones.

\[ 25 + 71 = 96 \]

Next, the shop decides to multiply the total number of cameras by 56 for promotional reasons. Therefore, we need to calculate:

\[ 96 \times 56 \]

To simplify the multiplication, we can use the distributive property:

\[ 96 \times 56 = 96 \times (50 + 6) \]
\[ = 96 \times 50 + 96 \times 6 \]

Now, calculate each part separately:

\[ 96 \times 50 = 4800 \]
\[ 96 \times 6 = 576 \]

Adding these two results together:

\[ 4800 + 576 = 5376 \]

Thus, the shop would have had 5376 cameras for promotion.

### Answer: 5376

Expected answer: 5376

Correct? Yes

Problem: In a similar situation as before, the farmer started his day with a different quantity of 95 tomatoes in his basket. Just like the previous day, by midday, he managed to harvest some more, bringing the total to 95 + 82 tomatoes in the basket. Unfortunately, he found that 37 of these tomatoes were not ripe enough to sell. How many ripe tomatoes did the farmer have left in his basket after this day?

GPT-4o:

First, we calculate the total number of tomatoes the farmer has by midday:
\[ 95 + 82 = 177 \]

Next, we subtract the number of unsellable tomatoes from the total:
\[ 177 - 37 = 140 \]

Thus, the number of ripe tomatoes the farmer has left in the basket is:
### Answer: 140

Expected answer: 140

Correct? Yes

Problem: Continuing from the initial situation in the soap manufacturing factory, suppose now they have decided to cut the large soap blocks into smaller bars such that each block can now be cut into 1424 bars of soap. However, this time they plan to package the soap in bundles of 36 bars each instead of 16. How many packages can they make from one large block of soap under this new arrangement?

GPT-4o:

To determine how many packages of soap can be made from one large block under the new arrangement, we need to divide the total number of bars by the number of bars per package.

Given:
- Each large block can be cut into 1424 bars of soap.
- Each package contains 36 bars of soap.

First, we perform the division:
\[ \frac{1424 \text{ bars}}{36 \text{ bars per package}} \]

Now, let's calculate:
\[ 1424 \div 36 \approx 39.5556 \]

Since we cannot have a fraction of a package, we take the integer part of the result:
\[ \lfloor 39.5556 \rfloor = 39 \]

So, from one large block of soap, they can make 39 full packages.

### Answer: 39

Expected answer: 356/9

Correct? No

Problem: Continuing from the previous scenario, what if the printer only printed 2 sheets of paper with 4 letters each second instead of 37. Keeping the same printing duration of 95 seconds, how many letters would have been printed then?

GPT-4o:

To determine the total number of letters printed with the new rate, we need to follow these steps:

1. Calculate the number of sheets printed per second.
2. Determine the number of letters printed per second.
3. Multiply the number of letters printed per second by the total number of seconds.

First, we know the printer prints 2 sheets of paper per second, and each sheet now contains 4 letters. Therefore, the number of letters printed per second is:
\[ 2 \text{ sheets/second} \times 4 \text{ letters/sheet} = 8 \text{ letters/second} \]

Next, we need to find out how many letters are printed in 95 seconds. We do this by multiplying the number of letters printed per second by the total number of seconds:
\[ 8 \text{ letters/second} \times 95 \text{ seconds} = 760 \text{ letters} \]

### Answer: 760

Expected answer: 760

Correct? Yes

Problem: After reviewing the plane's logbook, the crew realizes there was a mistake in their calculations. Instead of covering 360,000 miles to travel around the world, it actually only took them 81,000 miles. Given this, how many days would it have taken them to travel around the world at a rate of 72,000 miles per day?

GPT-4o:

To determine the number of days it would take to travel 81,000 miles at a rate of 72,000 miles per day, we need to divide the total distance by the distance covered per day.

Given:
- Total distance = 81,000 miles
- Distance covered per day = 72,000 miles

We perform the division:
\[ \text{Number of days} = \frac{\text{Total distance}}{\text{Distance covered per day}} = \frac{81,000 \text{ miles}}{72,000 \text{ miles/day}} \]

\[ \text{Number of days} = \frac{81,000}{72,000} = 1.125 \]

### Answer: 1.125 days

Expected answer: 9/8

Correct? No

Problem: After sprinkling magical dust at the reduced rate for 52 minutes, the fairy finds an additional 49 milligrams of magical dust. How much total magical dust did she use in that time?

GPT-4o:

We already calculated that the fairy sprinkles 676 milligrams of magical dust at the reduced rate for 52 minutes.

Now, she finds an additional 49 milligrams of magical dust. To find the total amount of magical dust she used, we add the additional dust to the amount she sprinkled:

\[ \text{Total dust used} = 676 \text{ mg} + 49 \text{ mg} \]

Calculating this:

\[ \text{Total dust used} = 725 \text{ mg} \]

### Answer: 725 milligrams

Expected answer: 725

Correct? Yes

Problem: If the fairy had initially reduced her sprinkling rate to 22 minutes instead of 52 minutes, how much magical dust would she have sprinkled in that time with the reduced rate of 44 milligrams?

GPT-4o:

First, we need to determine the new sprinkling rate after the reduction. The original rate is 4332 milligrams every 76 minutes.

To find the rate per minute, we divide the total milligrams by the total minutes:
\[ \text{Original rate per minute} = \frac{4332 \text{ mg}}{76 \text{ min}} \]

Calculating this:
\[ \text{Original rate per minute} = \frac{4332}{76} \approx 57 \text{ mg/min} \]

Next, we reduce this rate by 44 milligrams:
\[ \text{New rate per minute} = 57 \text{ mg/min} - 44 \text{ mg/min} = 13 \text{ mg/min} \]

Now, we need to find out how much magical dust she will sprinkle in 22 minutes at this new rate:
\[ \text{Total dust sprinkled} = \text{New rate per minute} \times \text{Time} \]
\[ \text{Total dust sprinkled} = 13 \text{ mg/min} \times 22 \text{ min} \]

Calculating this:
\[ \text{Total dust sprinkled} = 286 \text{ mg} \]

### Answer: 286 milligrams

Expected answer: 286

Correct? Yes

Problem: After re-counting the initial logs at the start of the camping trip, there were actually 48 logs, not 56. After using up 15 logs, with this new count, how many logs are now left for the rest of the trip?

GPT-4o:

To determine the number of logs left after the correction, we need to subtract the number of logs used from the corrected initial number of logs.

Corrected initial number of logs: 48
Logs used: 15

We perform the subtraction:
\[ 48 - 15 = 33 \]

So, there are 33 logs left for the rest of the trip.

### Answer: 33

Expected answer: 33

Correct? Yes

Problem: In the previous scenario, let's consider that instead of taking 30 pictures, John only took 21 pictures with his new camera before accidentally deleting 81 pictures. Like before, he was able to recover 61 of those deleted pictures. How many pictures does he have now?

GPT-4o:

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

1. John initially took 21 pictures.
2. He accidentally deleted 81 pictures.
3. He recovered 61 of those deleted pictures.

First, we need to determine the net effect of the deletion and recovery on the number of pictures:

- John deleted 81 pictures.
- He recovered 61 of those deleted pictures.

So, the net number of pictures deleted is:
\[ 81 - 61 = 20 \]

Now, we subtract the net number of pictures deleted from the initial number of pictures John took:
\[ 21 - 20 = 1 \]

Therefore, John has 1 picture now.

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: After paying the tax and buying the 23 pairs of binoculars, the store owner decides to purchase an additional single pair of binoculars that has a discount of $95. What is the total amount the store owner will need to pay now?

GPT-4o:

First, let's determine the cost of the additional single pair of binoculars after applying the discount. The original price of one pair of binoculars is $27, and the discount is $95.

Since the discount of $95 is greater than the cost of one pair of binoculars ($27), the cost of the additional pair will effectively be $0 (as the discount cannot make the price negative).

Next, we need to add this to the total amount already paid, which was $630.

\[
\text{Total amount paid} = 630 + 0 = 630
\]

### Answer: $630

Expected answer: 562

Correct? No

Problem: After the store owner's last transaction, a new shipment of binoculars came in with a lower price. This time, each pair costs $27 and there's a fixed tax of $9. If the store owner decides to buy 13 pairs from the new shipment, how much would the total cost be now?

GPT-4o:

First, we need to calculate the cost of 13 pairs of binoculars without tax. Each pair costs $27.

\[
\text{Cost of 13 pairs} = 13 \times 27
\]

To find this, we can break it down:

\[
13 \times 27 = 13 \times (20 + 7) = (13 \times 20) + (13 \times 7)
\]

Calculating each part:

\[
13 \times 20 = 260
\]
\[
13 \times 7 = 91
\]

Adding these together:

\[
260 + 91 = 351
\]

So, the cost of 13 pairs of binoculars is $351. Now, we need to add the fixed tax of $9.

\[
\text{Total cost} = 351 + 9 = 360
\]

### Answer: $360

Expected answer: 360

Correct? Yes

Problem: Following on from the previous problem: The pirate made a mistake while counting his treasure. He originally thought that he had found 91 gold coins on another island, but it turned out there were only 9 gold coins. With the 22 coins he found on an island, 9 on another island, and 33 hidden in a chest, how many coins does the pirate have now?

GPT-4o:

To find the corrected total number of gold coins the pirate has, we need to add the number of gold coins he found on the island, on another island (with the corrected count), and in the chest.

First, we add the gold coins found on the island and on another island:
\[ 22 + 9 = 31 \]

Next, we add the gold coins found in the chest:
\[ 31 + 33 = 64 \]

So, the total number of gold coins the pirate has now is:
### Answer: 64

Expected answer: 64

Correct? Yes

Problem: After trading all of her rainbow apples, the magical unicorn decided to use some of her sparkly diamonds. She gave away 40 diamonds to her unicorn friend and another 12 diamonds to a fairy. How many sparkly diamonds does the unicorn have left?

GPT-4o:

First, we need to determine the total number of sparkly diamonds the magical unicorn gave away. She gave 40 diamonds to her unicorn friend and 12 diamonds to a fairy. We add these amounts together:

\[
40 + 12 = 52
\]

Next, we subtract the total number of diamonds given away from the total number of diamonds the unicorn initially had. The unicorn initially had 2805 sparkly diamonds (from the previous calculation). Therefore, the number of diamonds left is:

\[
2805 - 52
\]

Performing the subtraction:

\[
2805 - 52 = 2753
\]

### Answer: 2753

Expected answer: 2753

Correct? Yes

Problem: Suppose instead of having (54 - 24) + 25 rainbow apples, the magical unicorn actually had (54 - 24) + 38 rainbow apples. If she can still trade each rainbow apple for 51 sparkly diamonds, how many sparkly diamonds would she have received?

GPT-4o:

First, we need to determine the total number of rainbow apples the magical unicorn has. This is given by the expression:

\[
(54 - 24) + 38
\]

First, we perform the subtraction inside the parentheses:

\[
54 - 24 = 30
\]

Next, we add 38 to the result:

\[
30 + 38 = 68
\]

So, the unicorn has 68 rainbow apples.

Each rainbow apple can be traded for 51 sparkly diamonds. Therefore, the total number of sparkly diamonds the unicorn can get is:

\[
68 \times 51
\]

To find this product, we can use the distributive property:

\[
68 \times 51 = 68 \times (50 + 1) = 68 \times 50 + 68 \times 1
\]

Calculating each term separately:

\[
68 \times 50 = 3400
\]
\[
68 \times 1 = 68
\]

Adding these results together:

\[
3400 + 68 = 3468
\]

### Answer: 3468

Expected answer: 3468

Correct? Yes

Problem: In our previous scenario, instead of adding 13 phones, suppose the phone manufacturer adds an additional 80 phones after producing phones for 33 hours. How many phones are produced in total at this time now?

GPT-4o:

First, we need to determine the rate of phone production per hour. The manufacturer produces 990 phones in 22 hours.

To find the hourly production rate, we divide the total number of phones by the total number of hours:
\[ \text{Hourly production rate} = \frac{990 \text{ phones}}{22 \text{ hours}} = 45 \text{ phones per hour} \]

Next, we calculate the number of phones produced in 33 hours:
\[ \text{Phones produced in 33 hours} = 45 \text{ phones/hour} \times 33 \text{ hours} = 1485 \text{ phones} \]

After 33 hours, an additional 80 phones are added to the production batch:
\[ \text{Total phones produced} = 1485 \text{ phones} + 80 \text{ phones} = 1565 \text{ phones} \]

### Answer: 1565

Expected answer: 1565

Correct? Yes

Problem: After figuring out the total number of windows the maintenance team cleaned in a day, let's consider a different scenario. What if the building had originally been built with 704 windows spread over 71 floors instead of 8? How many windows would there be on each floor then?

GPT-4o:

To determine the number of windows on each floor, we need to divide the total number of windows by the number of floors.

Given:
- Total number of windows = 704
- Number of floors = 71

We perform the division:
\[ \frac{704}{71} \approx 9.91 \]

Since the number of windows must be a whole number, this suggests that the windows cannot be evenly distributed across 71 floors. However, if we are to consider the exact division:

\[ \frac{704}{71} \approx 9.915492957746478 \]

This means that on average, there would be approximately 9.91 windows per floor, but in practical terms, the distribution would need to be adjusted to whole numbers.

### Answer: 9.91 (approximately)

Expected answer: 704/71

Correct? No

Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, there would be a certain number of cats in total. However, due to some circumstances, 91 of these cats had to be moved to another town. How many cats are left in the town now?

GPT-4o:

First, we need to calculate the total number of cats in the town before any were moved. This is done by multiplying the average number of cats per household by the number of households.

Given:
- Average number of cats per household = 77
- Number of households = 69

Total number of cats = 77 × 69

We already calculated this in the previous problem:
77 × 69 = 5313

Next, we subtract the number of cats that were moved to another town.

Number of cats moved = 91

Number of cats left = Total number of cats - Number of cats moved
Number of cats left = 5313 - 91
Number of cats left = 5222

### Answer: 5222

Expected answer: 5222

Correct? Yes

Problem: Originally, the chocolate bar factory had 87 machines running every day instead of 28. If 2 of the machines break down, as it happened in the previous scenario, how many machines would still be producing chocolate bars?

GPT-4o:

To determine how many machines are still producing chocolate bars, we start with the original total number of machines and subtract the number of machines that have broken down.

Original total machines: 87
Machines that broke down: 2

Now, subtract the broken machines from the total machines:
\[ 87 - 2 = 85 \]

### Answer: 85

Expected answer: 85

Correct? Yes

Problem: After creating and combining his different candle types, the candlemaker's friend gifted him an additional 7 candles they made. Now, how many candles does the candlemaker have in total?

GPT-4o:

We previously calculated that the candlemaker had a total of 77 candles. Now, his friend gifted him an additional 7 candles. To find the new total, we add these 7 candles to the existing 77 candles:

\[
77 + 7 = 84
\]

### Answer: 84

Expected answer: 84

Correct? Yes

Problem: The candlemaker originally thought he had made 6 vanilla-scented candles, but he actually made 8 instead. Given this correction, with everything else the same, how many candles does the candlemaker have in total now?

GPT-4o:

Let's adjust the final calculation based on the corrected number of vanilla-scented candles:

1. The candlemaker starts with 37 lavender-scented candles.
2. He makes 10 more lavender-scented candles. So, the total number of lavender-scented candles now is:
   \[
   37 + 10 = 47
   \]
3. He then makes another 24 lavender-scented candles. Adding these to the existing candles, we get:
   \[
   47 + 24 = 71
   \]
4. Initially, he thought he added 6 vanilla-scented candles, but he actually added 8. So, the total number of candles now is:
   \[
   71 + 8 = 79
   \]

### Answer: 79

Expected answer: 79

Correct? Yes

Problem: After finding the sum of 12, 4, and 71, add 15 to the result. What is the new total?

GPT-4o:

We already found that the sum of 12, 4, and 71 is 87. Now, we need to add 15 to this result:

\[ 87 + 15 \]

Perform the addition:

\[ 87 + 15 = 102 \]

### Answer: 102

Expected answer: 102

Correct? Yes

Problem: Imagine that initially instead of 12, you started with 53. Now, what would be the result of adding the numbers 53, 4, and 71 together?

GPT-4o:

To find the result of adding the numbers 53, 4, and 71 together, we perform the following addition:

\[ 53 + 4 + 71 \]

First, add 53 and 4:

\[ 53 + 4 = 57 \]

Next, add the result to 71:

\[ 57 + 71 = 128 \]

### Answer: 128

Expected answer: 128

Correct? Yes

Problem: Following up on the previous situation, suppose Sarah takes Mary's cucumber count and adds to it the sum of 54 and 3 cucumbers that she already had before. How many cucumbers does Sarah have now?

GPT-4o:

First, we know from the previous problem that Mary's cucumber count is 9.

Next, we need to calculate the sum of 54 and 3:
\[ 54 + 3 = 57 \]

Sarah takes Mary's cucumber count and adds it to this sum:
\[ 9 + 57 = 66 \]

### Answer: 66

Expected answer: 66

Correct? Yes

Problem: Following up on the previous situation with John and Mary, suppose now that Mary's cucumber plant produces as many cucumbers as John's but minus the difference between John's cucumbers and 73. How many cucumbers did Mary's plant produce this time?

GPT-4o:

To determine how many cucumbers Mary's plant produced this time, we first need to calculate the difference between the number of cucumbers John's plant produced and 73.

John's cucumbers: 59
Difference between John's cucumbers and 73: \( 59 - 73 = -14 \)

Mary's plant produces as many cucumbers as John's but minus this difference:
Mary's cucumbers: \( 59 - (-14) = 59 + 14 = 73 \)

### Answer: 73

Expected answer: 73

Correct? Yes

Problem: In the same puzzle game, consider that to complete a level, a player now requires 3795 points but the points are gained in increments of 19 instead of 69. How many increments of 19 points are now needed to gather the required points to complete the level?

GPT-4o:

To determine how many increments of 19 points are needed to reach or exceed 3795 points, we need to divide 3795 by 19 and then round up to the nearest whole number, since any fraction of an increment would still require a full increment to complete the level.

First, we perform the division:
\[ \frac{3795}{19} \approx 199.7368 \]

Since we need a whole number of increments, we round up to the nearest whole number:
\[ \lceil 199.7368 \rceil = 200 \]

To verify:
\[ 19 \times 200 = 3800 \]

Since 3800 is greater than 3795, 200 increments are sufficient to complete the level.

### Answer: 200

Expected answer: 3795/19

Correct? No

Problem: Suppose the pirate initially found a smaller chest with only 6 gemstones, each still worth 57 gold coins, along with an additional 42 gold coins. How many gold coins would be the total worth of this smaller chest?

GPT-4o:

To determine the total worth of the smaller chest, we need to calculate the value of the 6 gemstones and then add the additional 42 gold coins.

First, we calculate the value of the 6 gemstones. Each gemstone is worth 57 gold coins, so we multiply:
\[ 6 \times 57 \]

We can break this multiplication into simpler steps:
\[ 6 \times 57 = 6 \times (50 + 7) \]
\[ = 6 \times 50 + 6 \times 7 \]

Now, calculate each part:
\[ 6 \times 50 = 300 \]
\[ 6 \times 7 = 42 \]

Add these two results together:
\[ 300 + 42 = 342 \]

So, the total value of the gemstones is 342 gold coins.

Next, we add the additional 42 gold coins found in the chest:
\[ 342 + 42 = 384 \]

Therefore, the total worth of the smaller chest is:
### Answer: 384

Expected answer: 384

Correct? Yes

Problem: If the pet store decides to double its quantity of each species of mouse – the white mice, brown mice, and black mice, how many mice will the store have then?

GPT-4o:

To determine the new total number of mice after doubling the quantity of each species, we first need to calculate the doubled quantities for each type of mouse.

1. Double the number of white mice:
\[ 35 \times 2 = 70 \]

2. Double the number of brown mice:
\[ 86 \times 2 = 172 \]

3. Double the number of black mice:
\[ 39 \times 2 = 78 \]

Next, we add these doubled quantities together to find the new total number of mice:
\[ 70 + 172 + 78 = 320 \]

Therefore, after doubling the quantity of each species of mouse, the pet store will have 320 mice.

### Answer: 320

Expected answer: 320

Correct? Yes

Problem: If the pet store actually had 31 black mice instead of 39 black mice along with the 35 white mice and 86 brown mice, how many mice in total would the pet store then have?

GPT-4o:

To find the new total number of mice in the pet store, we need to add the number of white mice, brown mice, and the updated number of black mice together.

First, we add the number of white mice and brown mice:
\[ 35 + 86 = 121 \]

Next, we add the updated number of black mice to the previous total:
\[ 121 + 31 = 152 \]

Therefore, with 31 black mice, the total number of mice in the pet store would be 152.

### Answer: 152

Expected answer: 152

Correct? Yes

Problem: The soap factory realized that instead of producing 97 bars of soap per batch, they had actually been producing only 43 bars per batch due to a measuring error. Given this new information, how many bars of soap were actually produced over the 94 batches made on the first day?

GPT-4o:

To determine the actual number of bars of soap produced given the new information, we need to multiply the corrected number of bars of soap per batch by the number of batches made in that day.

Given:
- Corrected number of bars of soap in one batch = 43
- Number of batches made in one day = 94

We calculate the total production as follows:
\[ 43 \text{ bars/batch} \times 94 \text{ batches} = 4042 \text{ bars} \]

### Answer: 4042

Expected answer: 4042

Correct? Yes

Problem: After reviewing the production data, the toy car factory realized there was a mistake in their calculation. They actually produce only 4 toy cars every minute instead of 5. If they continue to produce for 76 minutes and add another batch of 49 toy cars as before, how many toy cars will the factory have now?

GPT-4o:

First, we need to determine how many toy cars the factory produces in 76 minutes with the corrected production rate of 4 toy cars per minute. We can calculate this by multiplying the number of minutes by the number of toy cars produced per minute:

\[ 76 \text{ minutes} \times 4 \text{ toy cars per minute} = 304 \text{ toy cars} \]

Next, we add the additional batch of 49 toy cars to the total produced in 76 minutes:

\[ 304 \text{ toy cars} + 49 \text{ toy cars} = 353 \text{ toy cars} \]

### Answer: 353

Expected answer: 353

Correct? Yes

Problem: In a similar situation, another farmer currently owns 25 km of farmland. They also decided to expand by 77 km, but like the previous farmer, had to give back 71 km due to legal issues. How many kilometers does this second farmer have left after this expansion and subsequent decrease?

GPT-4o:

Let's break down the problem step by step:

1. The initial size of the second farmer's farmland is 25 km.
2. The farmer expanded the property by 77 km. So, the new size of the farmland is:
   \[
   25 \text{ km} + 77 \text{ km} = 102 \text{ km}
   \]
3. The farmer had to return 71 km due to legal issues. Therefore, the final size of the farmland is:
   \[
   102 \text{ km} - 71 \text{ km} = 31 \text{ km}
   \]

### Answer: 31 km

Expected answer: 31

Correct? Yes

Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely? After the initial sales, the company realized they were missing 73 paint buckets. But soon they found 59 buckets in the warehouse. After adding these found buckets, how many buckets does the company have in total now?

GPT-4o:

First, let's determine how many buckets can be completely filled with 8930 liters of paint, given that each bucket holds 95 liters.

We perform the division:
\[ \frac{8930}{95} \]

Let's do the division step-by-step:
\[ 8930 \div 95 = 94 \]

So, the company can fill 94 buckets completely.

Next, we need to account for the missing and found buckets. Initially, the company realized they were missing 73 buckets. Then, they found 59 of those missing buckets.

To find the total number of buckets they have now, we subtract the missing buckets and then add the found buckets:
\[ 94 - 73 + 59 \]

First, subtract the missing buckets:
\[ 94 - 73 = 21 \]

Then, add the found buckets:
\[ 21 + 59 = 80 \]

### Answer: 80

Expected answer: 80

Correct? Yes

Problem: Suppose the bubble machine was actually more efficient and could produce 3654 bubbles with just 47 ounces of bubble fluid. With this rate, how many bubbles can it make with 1 ounce of bubble fluid?

GPT-4o:

To determine how many bubbles the machine can make with 1 ounce of bubble fluid, we need to divide the total number of bubbles by the total number of ounces of bubble fluid.

Given:
- Total bubbles: 3654
- Total ounces of bubble fluid: 47

We perform the division:
\[ \frac{3654}{47} \]

First, let's simplify the division step-by-step:

1. 3654 divided by 47:
\[ 3654 \div 47 = 77.74 \]

So, the machine can make approximately 77.74 bubbles with 1 ounce of bubble fluid.

### Answer: 77.74

Expected answer: 3654/47

Correct? No

Problem: Considering the previous scenario, if instead of using 13 apples daily for the fruit salads, they started using 55 apples, how many apples did they use in total when they made fruit salads for 30 days?

GPT-4o:

To determine the total number of apples used for fruit salads over 30 days, we need to multiply the number of apples used daily by the number of days.

Given:
- Number of apples used daily = 55
- Number of days = 30

Calculation:
\[ 55 \text{ apples/day} \times 30 \text{ days} = 1650 \text{ apples} \]

### Answer: 1650

Expected answer: 1650

Correct? Yes

Problem: Following the previous scenario, suppose the paleontologists revised their calculations and found that the dinosaur species was actually laying eggs every 47 minutes, not 60 as originally thought. In that case, how many total eggs would the dinosaur have laid if it had been laying eggs for 1620 minutes straight?

GPT-4o:

To determine how many eggs the dinosaur species laid with the revised interval of 47 minutes, we need to find out how many 47-minute intervals fit into 1620 minutes.

First, we divide 1620 by 47:
\[ \frac{1620}{47} \approx 34.47 \]

Since the dinosaur can only lay eggs at the end of each full 47-minute interval, we take the integer part of the division result:
\[ \lfloor 34.47 \rfloor = 34 \]

This means that there are 34 complete intervals of 47 minutes in 1620 minutes. Therefore, the dinosaur species would have laid eggs 34 times.

### Answer: 34

Expected answer: 1620/47

Correct? No

Problem: In the original shipment to the library, suppose there were 95 science fiction novels instead of 67. With the 55 romance novels and 43 mystery novels remaining the same, how many new books did the library receive now?

GPT-4o:

To find the total number of new books the library received with the updated number of science fiction novels, we need to add the number of romance novels, mystery novels, and the new number of science fiction novels together.

First, we add the number of romance novels and mystery novels:
\[ 55 + 43 = 98 \]

Next, we add the updated number of science fiction novels to the previous total:
\[ 98 + 95 = 193 \]

Therefore, the total number of new books the library received with the updated shipment is 193.

### Answer: 193

Expected answer: 193

Correct? Yes

Problem: Building on our beachcomber's tale, after counting his 42-day collection of seashells, he accidentally loses one seashell down a seaside crevice. Disappointed but not defeated, he decides to collect 32 more seashells the next day. How many seashells does he have in total after adding the new batch and accounting for the lost seashell?

GPT-4o:

To determine the total number of seashells the beachcomber has after losing one and then collecting more, we start with the total number of seashells he had before the loss and additional collection.

From the previous calculation, the beachcomber had:
\[ 3164 \text{ seashells} \]

He loses one seashell:
\[ 3164 \text{ seashells} - 1 \text{ seashell} = 3163 \text{ seashells} \]

Then, he collects 32 more seashells:
\[ 3163 \text{ seashells} + 32 \text{ seashells} = 3195 \text{ seashells} \]

### Answer: 3195

Expected answer: 3195

Correct? Yes

Problem: Let's revisit our beachcomber. After reconsidering his collection habit, he realizes he has been actually collecting an average of 89 seashells per day instead of 74, over the same 42 day period. He still found that additional 56 seashells hidden in the sand. Now, how many seashells does he have in total after 42 days?

GPT-4o:

To determine the total number of seashells the beachcomber collected with the updated average, we need to calculate the number of seashells that appeared over the 42 days and then add the additional seashells found.

First, calculate the number of seashells that appeared over 42 days with the new average:
\[ 89 \text{ seashells/day} \times 42 \text{ days} = 3738 \text{ seashells} \]

Next, add the additional 56 seashells that were discovered:
\[ 3738 \text{ seashells} + 56 \text{ seashells} = 3794 \text{ seashells} \]

### Answer: 3794

Expected answer: 3794

Correct? Yes