Problem: Instead of producing toothpaste for 35 hours, the company decided to increase their production time to 316 hours, still producing 55 tubes of toothpaste every hour. How many tubes of toothpaste did they produce now?

GPT-4o:

To find the total number of tubes of toothpaste produced with the increased production time, we need to multiply the number of tubes produced per hour by the new number of hours worked.

Given:
- Number of tubes produced per hour = 55
- Number of hours worked = 316

Calculation:
\[ 55 \text{ tubes/hour} \times 316 \text{ hours} = 17380 \text{ tubes} \]

### Answer: 17380

Expected answer: 17380

Correct? Yes

Problem: Considering the previous problem, if the company instead produced 993 unique keys per day for the same period of 96 days, how many keys in total would they have produced?

GPT-4o:

To find the total number of keys produced, we need to multiply the number of keys produced per day by the number of days.

Number of keys produced per day = 993
Number of days = 96

Total number of keys produced = 993 keys/day * 96 days

Let's perform the multiplication:

\[
993 \times 96 = 993 \times (100 - 4) = (993 \times 100) - (993 \times 4)
\]

First, calculate \(993 \times 100\):

\[
993 \times 100 = 99300
\]

Next, calculate \(993 \times 4\):

\[
993 \times 4 = 3972
\]

Now, subtract the second result from the first:

\[
99300 - 3972 = 95328
\]

### Answer: 95328

Expected answer: 95328

Correct? Yes

Problem: Suppose instead the company had been producing only 3032 balls of a specific type each day for the same 9 consecutive days. How many balls would they have produced in this case?

GPT-4o:

To find the total number of balls produced over 9 consecutive days when producing 3032 balls each day, we need to multiply the number of balls produced each day by the number of days.

Given:
- Number of balls produced each day = 3032
- Number of days = 9

We perform the multiplication:
\[ 3032 \times 9 \]

Let's break it down step-by-step:
\[ 3032 \times 9 = 27288 \]

So, the company would have produced a total of 27,288 balls over the 9 days.

### Answer: 27288

Expected answer: 27288

Correct? Yes

Problem: Now, imagine if the school bus could only carry 229 students instead of 6353. How many students can this bus carry?

GPT-4o:

If the school bus can carry 229 students, then the number of students it can carry is simply 229.

### Answer: 229

Expected answer: 229

Correct? Yes

Problem: Considering the same pirate ship, what if instead of firing 45 cannonballs per cannon, each of the 76 cannons fired 708 cannonballs in a battle? How many cannonballs does the pirate ship fire in total now?

GPT-4o:

To find the total number of cannonballs fired by the pirate ship when each cannon fires 708 cannonballs, we need to multiply the number of cannons by the number of cannonballs each cannon fires.

Given:
- Number of cannons = 76
- Number of cannonballs each cannon fires = 708

We calculate the total number of cannonballs as follows:
\[ 76 \times 708 \]

First, we can break this multiplication into simpler parts using the distributive property:
\[ 76 \times 708 = 76 \times (700 + 8) \]
\[ = 76 \times 700 + 76 \times 8 \]

Now, calculate each part separately:
\[ 76 \times 700 = 53200 \]
\[ 76 \times 8 = 608 \]

Add these two results together:
\[ 53200 + 608 = 53808 \]

Therefore, the total number of cannonballs fired by the pirate ship is:
### Answer: 53808

Expected answer: 53808

Correct? Yes

Problem: Following from the previous problem, imagine instead that each bus can carry 8347 passengers. How many passengers can 5 buses carry in total now?

GPT-4o:

To find out how many passengers 5 buses can carry in total when each bus can carry 8347 passengers, we need to multiply the number of passengers one bus can carry by the number of buses.

Given:
- One bus can carry 8347 passengers.
- There are 5 buses.

Calculation:
\[ 8347 \text{ passengers/bus} \times 5 \text{ buses} = 41735 \text{ passengers} \]

### Answer: 41735

Expected answer: 41735

Correct? Yes

Problem: In response to the previous situation with your friend, imagine instead that they were able to save just $125 every year for those same 2 years. How much would they have managed to save under these circumstances?

GPT-4o:

To determine the total amount of money saved by your friend over 2 years with an annual saving of $125, we need to multiply the annual savings by the number of years.

Annual savings: $125
Number of years: 2

Total savings = Annual savings × Number of years
Total savings = $125 × 2
Total savings = $250

### Answer: $250

Expected answer: 250

Correct? Yes

Problem: If the chocolate factory mentioned before actually produced 7489 chocolate bars every hour for the same 4 hours, how many chocolate bars did they produce instead?

GPT-4o:

To find the total number of chocolate bars produced with the new rate, we need to multiply the number of chocolate bars produced per hour by the number of hours.

Given:
- Number of chocolate bars produced per hour = 7489
- Number of hours = 4

We perform the multiplication:
\[ 7489 \times 4 = 29956 \]

So, the chocolate factory produced 29,956 chocolate bars in 4 hours.

### Answer: 29956

Expected answer: 29956

Correct? Yes

Problem: Instead of 91 chests, suppose the pirate found 1489 chests, each still holding 55 gold coins. How many gold coins did the pirate find in total now?

GPT-4o:

To find the total number of gold coins, we need to multiply the number of chests by the number of gold coins in each chest.

Number of chests = 1489
Number of gold coins per chest = 55

Total gold coins = Number of chests × Number of gold coins per chest
Total gold coins = 1489 × 55

We can break this multiplication into simpler steps:
\[ 1489 \times 55 = 1489 \times (50 + 5) \]
\[ = 1489 \times 50 + 1489 \times 5 \]

First, calculate \( 1489 \times 50 \):
\[ 1489 \times 50 = 1489 \times (5 \times 10) = (1489 \times 5) \times 10 \]
\[ 1489 \times 5 = 7445 \]
\[ 7445 \times 10 = 74450 \]

Next, calculate \( 1489 \times 5 \):
\[ 1489 \times 5 = 7445 \]

Now, add the two results together:
\[ 74450 + 7445 = 81895 \]

So, the pirate found a total of 81895 gold coins.

### Answer: 81895

Expected answer: 81895

Correct? Yes

Problem: If instead of 50 bunches of grapes, the farmer had 6804 bunches of grapes, each with 12 grapes, how many grapes did the farmer grow in total?

GPT-4o:

To find the total number of grapes the farmer grew, we need to multiply the number of bunches by the number of grapes in each bunch.

Given:
- Number of bunches = 6804
- Number of grapes per bunch = 12

We calculate the total number of grapes as follows:
\[ \text{Total grapes} = \text{Number of bunches} \times \text{Number of grapes per bunch} \]
\[ \text{Total grapes} = 6804 \times 12 \]

Now, performing the multiplication:
\[ 6804 \times 12 = 6804 \times (10 + 2) \]
\[ = 6804 \times 10 + 6804 \times 2 \]
\[ = 68040 + 13608 \]
\[ = 81648 \]

### Answer: 81648

Expected answer: 81648

Correct? Yes

Problem: If the helicopter could actually carry 1063 pounds every minute instead of 64, how many pounds would it be able to carry in 75 minutes?

GPT-4o:

To determine how many pounds the helicopter can carry in 75 minutes at the new rate of 1063 pounds per minute, we multiply the rate by the total number of minutes it works.

The helicopter carries 1063 pounds per minute. If it works for 75 minutes, we calculate the total weight as follows:

\[
1063 \text{ pounds/minute} \times 75 \text{ minutes} = 79725 \text{ pounds}
\]

### Answer: 79725 pounds

Expected answer: 79725

Correct? Yes

Problem: Suppose the piano manufacturer had actually produced 1339 pianos every week instead of 4750 pianos for the same 7 weeks. How many pianos would they have produced then?

GPT-4o:

To find the total number of pianos produced with the new weekly production rate, we need to multiply the number of pianos produced per week by the number of weeks.

\[ 1339 \text{ pianos/week} \times 7 \text{ weeks} \]

Let's perform the multiplication:

\[ 1339 \times 7 = 9373 \]

So, if the piano manufacturer had produced 1339 pianos every week for 7 weeks, they would have produced a total of 9373 pianos.

### Answer: 9373

Expected answer: 9373

Correct? Yes

Problem: The snow machine went into maintenance for a few hours, after which it could only produce 93 snowballs per hour, still for 8 hours. How many snowballs did it produce after maintenance?

GPT-4o:

To find the total number of snowballs produced after the maintenance, we need to multiply the number of snowballs produced per hour by the number of hours the machine operates after maintenance.

Given:
- Snowballs produced per hour after maintenance = 93
- Number of hours = 8

We calculate:
\[ 93 \times 8 \]

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

\[ 93 \times 8 = 744 \]

So, the snow machine produced 744 snowballs in 8 hours after maintenance.

### Answer: 744

Expected answer: 744

Correct? Yes

Problem: Considering the previous scenario, let's say the machinery was recalibrated and now each of the 84 strands of rope are now 742 meters long instead of 75 meters. How long is the total length of all strands now?

GPT-4o:

To find the new total length of rope produced, we need to multiply the number of strands by the new length of each strand.

Given:
- Number of strands = 84
- New length of each strand = 742 meters

Total length of rope = Number of strands × New length of each strand
Total length of rope = 84 × 742

Now, let's perform the multiplication:

84 × 742 = 84 × (700 + 40 + 2)
         = (84 × 700) + (84 × 40) + (84 × 2)
         = 58800 + 3360 + 168
         = 62328

### Answer: 62328 meters

Expected answer: 62328

Correct? Yes

Problem: In the previous scenario, the doctor treated 5837 patients for 8 days. Now, imagine that instead the doctor treated 7467 patients each day for the same period of 8 days. How many patients has the doctor treated now?

GPT-4o:

To find the total number of patients the doctor has treated over 8 days when treating 7467 patients each day, we need to multiply the number of patients treated each day by the number of days.

\[ 7467 \text{ patients/day} \times 8 \text{ days} \]

Let's perform the multiplication:

\[ 7467 \times 8 = 59736 \]

So, the doctor has treated 59,736 patients over 8 days.

### Answer: 59736

Expected answer: 59736

Correct? Yes

Problem: In the previous scenario with the tree farmer, suppose he has instead planted 4511 trees each day over the same 6 days. How many trees did he plant in total now?

GPT-4o:

To find the total number of trees planted by the tree farmer with the new daily planting rate, we need to multiply the number of trees planted each day by the number of days.

Number of trees planted each day: 4511
Number of days: 6

Total number of trees planted = 4511 * 6

Let's perform the multiplication:

\[
4511 \times 6 = 27066
\]

### Answer: 27066

Expected answer: 27066

Correct? Yes

Problem: Suppose now that each vase is filled with 891 flowers instead of 64 flowers. How many flowers are there in all the vases now?

GPT-4o:

To find the total number of flowers in all the vases with the new number of flowers per vase, we need to multiply the number of vases by the new number of flowers in each vase.

Given:
- Number of vases = 80
- Number of flowers per vase = 891

We calculate the total number of flowers as follows:
\[ 80 \text{ vases} \times 891 \text{ flowers per vase} = 71280 \text{ flowers} \]

### Answer: 71280

Expected answer: 71280

Correct? Yes

Problem: Consider the quilt maker decided to create a larger blanket this time, needing a total of 7404 pieces of cloth. How many pieces of cloth would he/she have used in this case?

GPT-4o:

The problem states that the quilt maker decided to create a larger blanket requiring a total of 7404 pieces of cloth. Since the number of pieces of cloth needed is directly given in the problem, the answer is 7404.

### Answer: 7404

Expected answer: 7404

Correct? Yes

Problem: In the previous scenario, if the pillow maker increased their production rate to 460 pillows every hour while still working for the same 40 hours, how many pillows would they make then?

GPT-4o:

To determine the total number of pillows produced with the increased production rate, we need to multiply the new number of pillows made per hour by the number of hours worked.

Given:
- New pillows produced per hour = 460
- Hours worked = 40

Calculation:
\[ 460 \text{ pillows/hour} \times 40 \text{ hours} = 18,400 \text{ pillows} \]

### Answer: 18,400

Expected answer: 18400

Correct? Yes

Problem: If the same Monkey instead picked 2926 bananas each day for a week, how many bananas would it have picked in total?

GPT-4o:

To find the total number of bananas the monkey has picked in a week (7 days), we need to multiply the number of bananas picked each day by the number of days.

\[ 2926 \text{ bananas/day} \times 7 \text{ days} \]

Let's perform the multiplication:

\[ 2926 \times 7 = 20482 \]

So, the monkey would have picked a total of 20,482 bananas in a week.

### Answer: 20482

Expected answer: 20482

Correct? Yes

Problem: Suppose the ballerina decided to increase her pirouettes and performed 3075 pirouettes each day for the same 21 days. How many pirouettes has she performed now?

GPT-4o:

To find the total number of pirouettes the ballerina has performed with the increased number, we need to multiply the new number of pirouettes she performs each day by the number of days she performs them.

Given:
- Number of pirouettes per day = 3075
- Number of days = 21

We calculate the total number of pirouettes as follows:
\[ 3075 \times 21 \]

First, we can break this multiplication into simpler parts:
\[ 3075 \times 21 = 3075 \times (20 + 1) \]
\[ = 3075 \times 20 + 3075 \times 1 \]
\[ = 3075 \times 20 + 3075 \]
\[ = 61500 + 3075 \]
\[ = 64575 \]

So, the ballerina has performed a total of 64575 pirouettes over 21 days.

### Answer: 64575

Expected answer: 64575

Correct? Yes

Problem: Suppose the school bus capacity was increased and it could now transport 8194 students to school every day. What would be the total number of students transported to school in 12 days?

GPT-4o:

To find the total number of students transported over 12 days with the increased capacity, we need to multiply the new number of students transported each day by the number of days.

Number of students transported each day = 8194
Number of days = 12

Total number of students transported = 8194 students/day * 12 days

Let's calculate this:

\[ 8194 \times 12 = 98328 \]

### Answer: 98328

Expected answer: 98328

Correct? Yes

Problem: Now, imagine the facility didn't produce 78 balls per day, but massively increased production to 3263 balls per day over the same period of 22 days. How many balls do they produce in total now?

GPT-4o:

To find the total number of balls produced with the increased production rate, we need to multiply the new number of balls produced per day by the number of days.

Number of balls produced per day = 3263
Number of days = 22

Total number of balls produced = 3263 * 22

Let's calculate this:

\[ 3263 \times 22 = 3263 \times (20 + 2) = (3263 \times 20) + (3263 \times 2) \]

First, calculate \( 3263 \times 20 \):

\[ 3263 \times 20 = 65260 \]

Next, calculate \( 3263 \times 2 \):

\[ 3263 \times 2 = 6526 \]

Now, add these two results together:

\[ 65260 + 6526 = 71786 \]

### Answer: 71786

Expected answer: 71786

Correct? Yes

Problem: The glasses manufacturer decided to upgrade their production line, and now they are able to produce 821 glasses per batch while still maintaining 22 batches per day. How many glasses are they now able to produce in one day?

GPT-4o:

To find the total number of glasses produced in a day after the upgrade, we need to multiply the new number of glasses produced per batch by the number of batches produced in a day.

Given:
- Number of glasses per batch after the upgrade = 821
- Number of batches in one day = 22

We calculate:
\[ 821 \text{ glasses/batch} \times 22 \text{ batches} = 18062 \text{ glasses} \]

### Answer: 18062

Expected answer: 18062

Correct? Yes

Problem: Suppose the length of the city bus route changes to 8724 km. If the bus still travels this new route 5 times, how many kilometers does it cover now?

GPT-4o:

To find the total distance the bus covers with the new route length, we need to multiply the new length of the route by the number of times the bus travels it.

The new length of the route is 8724 km, and the bus travels this route 5 times. Therefore, we calculate:

\[ 8724 \, \text{km} \times 5 = 43620 \, \text{km} \]

### Answer: 43620 km

Expected answer: 43620

Correct? Yes

Problem: Suppose the pizza restaurant's sales decreased and they sold 772 pizzas each day instead of 1959 for a period of 4 consecutive days. How many pizzas did they sell in these 4 days?

GPT-4o:

To find the total number of pizzas sold over the 4 consecutive days with the decreased sales, we need to multiply the number of pizzas sold each day by the number of days.

Given:
- Number of pizzas sold each day = 772
- Number of days = 4

We perform the multiplication:
\[ 772 \times 4 = 3088 \]

Thus, the total number of pizzas sold over the 4 days is 3088.

### Answer: 3088

Expected answer: 3088

Correct? Yes

Problem: In the previous scenario, consider that the mouse eats 625 grains of rice per day instead of 85. How many grains of rice does the mouse eat in total in the 93 days?

GPT-4o:

To find the total number of grains of rice the mouse eats with the new daily consumption rate, we need to multiply the number of grains it eats per day by the number of days.

Given:
- The mouse eats 625 grains of rice per day.
- The mouse eats for 93 days.

We calculate the total as follows:
\[ 625 \text{ grains/day} \times 93 \text{ days} = 58125 \text{ grains} \]

### Answer: 58125

Expected answer: 58125

Correct? Yes

Problem: Suppose the building instead had 4633 floors, each with the same number of 18 windows. How many windows would there be in the entire building now?

GPT-4o:

To find the total number of windows in the building with 4633 floors, each having 18 windows, we need to multiply the number of floors by the number of windows per floor.

Given:
- Number of floors = 4633
- Number of windows per floor = 18

We perform the multiplication:
\[ 4633 \times 18 \]

First, we can break it down using the distributive property:
\[ 4633 \times 18 = 4633 \times (10 + 8) \]
\[ = 4633 \times 10 + 4633 \times 8 \]

Now, calculate each part:
\[ 4633 \times 10 = 46330 \]
\[ 4633 \times 8 = 37064 \]

Add the two results together:
\[ 46330 + 37064 = 83394 \]

Thus, the total number of windows in the entire building is:
### Answer: 83394

Expected answer: 83394

Correct? Yes

Problem: The toothpaste company changed their production and now produces 1576 tubes for 3 consecutive days. How many toothpaste tubes do they now produce in total?

GPT-4o:

To find the total number of toothpaste tubes produced over the 3 consecutive days with the new production rate, we need to multiply the number of tubes produced each day by the number of days.

Given:
- Number of tubes produced each day = 1576
- Number of days = 3

Calculation:
\[ \text{Total tubes} = 1576 \times 3 \]

Let's perform the multiplication:
\[ 1576 \times 3 = 4728 \]

So, the total number of toothpaste tubes produced in 3 days is 4728.

### Answer: 4728

Expected answer: 4728

Correct? Yes

Problem: Suppose the student's eraser pack size changes, and instead of carrying 90 packs, they now carry 584 packs, each still containing 81 erasers. How many erasers does the student have now?

GPT-4o:

To find the total number of erasers, we need to multiply the number of eraser packs by the number of erasers in each pack.

Given:
- Number of eraser packs = 584
- Number of erasers per pack = 81

We calculate the total number of erasers as follows:
\[ 584 \times 81 \]

First, we can break down the multiplication for easier calculation:
\[ 584 \times 81 = 584 \times (80 + 1) \]
\[ = 584 \times 80 + 584 \times 1 \]

Now, calculate each part separately:
\[ 584 \times 80 = 584 \times 8 \times 10 = 4672 \times 10 = 46720 \]
\[ 584 \times 1 = 584 \]

Adding these two results together:
\[ 46720 + 584 = 47304 \]

So, the student has a total of 47304 erasers.

### Answer: 47304

Expected answer: 47304

Correct? Yes

Problem: In the previous problem, a baker created 2 cakes, each requiring 2585 grams of flour. But now, let's say the baker decides to use a new recipe that requires 6073 grams of flour per cake instead. How many grams of flour does the baker need to make 2 cakes using the new recipe?

GPT-4o:

To find the total amount of flour needed for 2 cakes using the new recipe, we need to multiply the amount of flour required for one cake by the number of cakes.

Each cake now requires 6073 grams of flour. Therefore, for 2 cakes, the calculation is:

\[ 6073 \, \text{grams} \times 2 \]

Performing the multiplication:

\[ 6073 \times 2 = 12146 \, \text{grams} \]

### Answer: 12146 grams

Expected answer: 12146

Correct? Yes

Problem: Instead of using 7303 beads per necklace, the jewelry maker decides to use 9719 beads for each of the 3 necklaces. How many total beads did they use for the necklaces this time?

GPT-4o:

To find the total number of beads used for the 3 necklaces, we need to multiply the number of beads in one necklace by the number of necklaces.

Each necklace now has 9719 beads, and there are 3 necklaces. Therefore, we calculate:

\[ 9719 \times 3 \]

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

\[ 9719 \times 3 = 29157 \]

So, the jewelry maker used a total of 29,157 beads for the 3 necklaces.

### Answer: 29157

Expected answer: 29157

Correct? Yes

Problem: If the fisherman instead catches 2193 fish each day for the same 30 days, how many fish would he have caught in total?

GPT-4o:

To find the total number of fish the fisherman would catch, we need to multiply the number of fish he catches each day by the number of days he has been fishing.

The fisherman catches 2193 fish each day for 30 days. Therefore, we calculate:

\[ 2193 \text{ fish/day} \times 30 \text{ days} = 65790 \text{ fish} \]

### Answer: 65790

Expected answer: 65790

Correct? Yes

Problem: The paint manufacturer decides to reduce the size of each batch to 437 liters, but still produces 6 batches. How many liters in total did they produce now?

GPT-4o:

To find the total number of liters produced with the new batch size, we need to multiply the number of batches by the new amount of paint in each batch.

Number of batches = 6
New amount of paint per batch = 437 liters

Total liters produced = Number of batches × New amount of paint per batch
Total liters produced = 6 × 437

Now, we perform the multiplication:
\[ 6 \times 437 = 2622 \]

### Answer: 2622

Expected answer: 2622

Correct? Yes

Problem: In the same forest, there are 5619 trees each producing 10 kilograms of fruits. How many kilograms of fruits do these trees produce?

GPT-4o:

To find the total kilograms of fruits produced by the 5619 trees, we need to multiply the number of trees by the amount of fruit each tree produces.

Given:
- Number of trees = 5619
- Kilograms of fruits per tree = 10

Calculation:
\[ 5619 \text{ trees} \times 10 \text{ kg/tree} = 56190 \text{ kg} \]

### Answer: 56190 kg

Expected answer: 56190

Correct? Yes

Problem: The farmer has now evolved his farming techniques and grown a record-breaking 1194 carrots from each of his 41 vegetable patches. How many carrots does he have now?

GPT-4o:

To find the total number of carrots the farmer has now, we need to multiply the number of carrots per vegetable patch by the number of vegetable patches.

Given:
- Number of carrots per vegetable patch = 1194
- Number of vegetable patches = 41

We calculate the total number of carrots as follows:
\[ 1194 \text{ carrots/patch} \times 41 \text{ patches} = 48954 \text{ carrots} \]

### Answer: 48954

Expected answer: 48954

Correct? Yes

Problem: Suppose the drum manufacturer changes its production strategy and starts producing 2161 drums per day for 7 days instead of the 3070 drums per day. How many drums are now produced in total?

GPT-4o:

To find the total number of drums produced in 7 days with the new production rate, we need to multiply the number of drums produced per day by the number of days.

\[
2161 \text{ drums/day} \times 7 \text{ days} = 15127 \text{ drums}
\]

### Answer: 15127

Expected answer: 15127

Correct? Yes

Problem: The toothbrush company decided to increase its production rate. So now, they produce 6645 toothbrushes every hour for the same 6 hours frame. How many toothbrushes do they produce now in that time?

GPT-4o:

To find the total number of toothbrushes produced at the new rate, we need to multiply the new production rate per hour by the number of hours.

Given:
- New number of toothbrushes produced per hour = 6645
- Number of hours = 6

Calculation:
\[ 6645 \times 6 = 39870 \]

### Answer: 39870

Expected answer: 39870

Correct? Yes

Problem: If the farm previously mentioned reduced its daily milk production to 2776 liter a day, but still maintained that production for 4 days. How many liters of milk would the farm produce now?

GPT-4o:

To find the total amount of milk produced by the farm over 4 days with the reduced daily production, we need to multiply the new daily production by the number of days.

New daily production: 2776 liters
Number of days: 4

Total production = New daily production × Number of days
Total production = 2776 liters/day × 4 days

Let's perform the multiplication:

\[ 2776 \times 4 = 11104 \]

So, the farm would produce 11,104 liters of milk over 4 days with the reduced daily production.

### Answer: 11104

Expected answer: 11104

Correct? Yes

Problem: The puzzle creator decided to slightly increase his productivity and designed 2704 puzzles each year instead of 2588. How many puzzles did he design over the same 9-year period with this new rate?

GPT-4o:

To find the total number of puzzles designed over 9 years at the new rate, we need to multiply the number of puzzles designed each year by the number of years.

The new number of puzzles designed each year is 2704, and the number of years is 9.

So, we calculate:
\[ 2704 \times 9 \]

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

\[ 2704 \times 9 = (2700 + 4) \times 9 \]
\[ = 2700 \times 9 + 4 \times 9 \]
\[ = 24300 + 36 \]
\[ = 24336 \]

Therefore, the total number of puzzles designed over 9 years at the new rate is 24336.

### Answer: 24336

Expected answer: 24336

Correct? Yes

Problem: The person decided to give 2 other gifts, each worth 6151 dollars instead of 9797 dollars. What is the total cost of these other gifts?

GPT-4o:

To find the total cost of the new gifts, we need to multiply the cost of one gift by the number of gifts given.

Each new gift is worth $6151, and there are 2 gifts.

So, we calculate:
\[ 6151 \times 2 = 12302 \]

### Answer: 12302 dollars.

Expected answer: 12302

Correct? Yes

Problem: In the same video game, consider that the player collects 1 diamond, but in this level, the diamond is worth only 166 points. How many points does the player collect from this diamond?

GPT-4o:

To determine the total points collected from the diamond in this level, we need to consider the number of diamonds collected and the points each diamond is worth.

Given:
- Number of diamonds collected = 1
- Points per diamond = 166

The total points collected from the diamond can be calculated as:
\[ \text{Total points} = \text{Number of diamonds} \times \text{Points per diamond} \]
\[ \text{Total points} = 1 \times 166 \]
\[ \text{Total points} = 166 \]

### Answer: 166

Expected answer: 166

Correct? Yes

Problem: Now consider if the sock company were to package 645 pairs of socks in one box instead. If they made 98 boxes again, how many pairs of socks would they make then?

GPT-4o:

To find the total number of pairs of socks made, we need to multiply the number of pairs of socks in one box by the number of boxes.

Given:
- Number of pairs of socks in one box = 645
- Number of boxes = 98

We calculate:
\[ 645 \times 98 \]

First, let's break it down using the distributive property:
\[ 645 \times 98 = 645 \times (100 - 2) \]
\[ = 645 \times 100 - 645 \times 2 \]
\[ = 64500 - 1290 \]
\[ = 63210 \]

So, the total number of pairs of socks made is:
### Answer: 63210

Expected answer: 63210

Correct? Yes

Problem: The original object size under the telescope was 58 units instead of 86. If the telescope still magnifies the object 67 times, what would be the total size of the object now?

GPT-4o:

To determine the total size of the object with the given magnification, we need to calculate the total increase in size due to the magnification and then add this to the original size of the object.

Given:
- The telescope magnifies the object 67 times.
- The original size of the object is 58 units.

First, calculate the total increase in size due to the magnification:
\[ \text{Total increase} = 67 \times 58 \]

Now, perform the multiplication:
\[ 67 \times 58 = 67 \times (50 + 8) = (67 \times 50) + (67 \times 8) \]
\[ 67 \times 50 = 3350 \]
\[ 67 \times 8 = 536 \]
\[ 3350 + 536 = 3886 \]

Thus, the total increase in size due to the magnification is 3886 units.

Now, add this increase to the original size of the object:
\[ \text{Total size} = \text{Original size} + \text{Total increase} \]
\[ \text{Total size} = 58 + 3886 \]
\[ \text{Total size} = 3944 \]

### Answer: 3944 units

Expected answer: 3886

Correct? No

Problem: If the computer company was instead able to produce 8413 computer units each day over the same period of 7 days, how many units have they manufactured in total now?

GPT-4o:

To find the total number of computer units produced over 7 days when the company produces 8413 units each day, we need to multiply the number of units produced per day by the number of days.

Given:
- Number of units produced per day = 8413
- Number of days = 7

Calculation:
\[ 8413 \text{ units/day} \times 7 \text{ days} = 58891 \text{ units} \]

### Answer: 58891

Expected answer: 58891

Correct? Yes

Problem: If that musician decides to write a new song that lasts 3435 seconds and it is also played back-to-back twice, how many seconds will this new song last in total?

GPT-4o:

To find the total duration when the new song is played back-to-back twice, we need to multiply the duration of the new song by 2.

The duration of the new song is 3435 seconds.

So, the total duration when played twice is:
\[ 3435 \, \text{seconds} \times 2 = 6870 \, \text{seconds} \]

### Answer: 6870 seconds.

Expected answer: 6870

Correct? Yes

Problem: The crayon factory has increased its output. Now, it produces 4 boxes of crayons, each containing 7780 crayons. How many crayons does the factory produce with this increased output?

GPT-4o:

To find the total number of crayons produced with the increased output, we need to multiply the number of boxes by the number of crayons per box.

Given:
- Number of boxes = 4
- Crayons per box = 7780

We calculate the total number of crayons as follows:
\[ 4 \times 7780 = 31120 \]

### Answer: 31120

Expected answer: 31120

Correct? Yes

Problem: If the same backpack brand instead produces 9981 bags daily for a week, how many backpacks would they produce in total?

GPT-4o:

To find the total number of backpacks produced in a week, we need to multiply the number of backpacks produced daily by the number of days in a week.

Given:
- Number of backpacks produced daily = 9981
- Number of days in a week = 7

Calculation:
\[ 9981 \times 7 = 69867 \]

So, the total number of backpacks produced in a week is 69,867.

### Answer: 69867

Expected answer: 69867

Correct? Yes

Problem: Now, consider the roller skate company now makes 3137 pairs of roller skates every hour instead of 95. How many pairs of roller skates do they make in a day?

GPT-4o:

To determine how many pairs of roller skates the company makes in a day with the new production rate, we need to multiply the number of pairs made per hour by the number of hours worked in a day.

Given:
- The company now makes 3137 pairs of roller skates every hour.
- The company operates for 17 hours a day.

We calculate the total number of pairs made in a day as follows:

\[ 3137 \text{ pairs/hour} \times 17 \text{ hours/day} = 53329 \text{ pairs/day} \]

### Answer: 53329 pairs

Expected answer: 53329

Correct? Yes

Problem: After the first batch of chairs, the chair designer decides to use 269 pieces of wood for each chair but still designs 97 chairs. How many pieces of wood are used this time?

GPT-4o:

To find the total number of pieces of wood used, we need to multiply the number of pieces of wood per chair by the number of chairs designed.

Given:
- Pieces of wood per chair = 269
- Number of chairs = 97

Total pieces of wood used = 269 pieces/chair * 97 chairs

Let's calculate this:

\[ 269 \times 97 \]

We can break this multiplication into simpler parts using the distributive property:

\[ 269 \times 97 = 269 \times (100 - 3) = 269 \times 100 - 269 \times 3 \]

Calculating each term:

\[ 269 \times 100 = 26900 \]
\[ 269 \times 3 = 807 \]

Now, subtract the second term from the first:

\[ 26900 - 807 = 26093 \]

So, the total number of pieces of wood used is:

### Answer: 26093

Expected answer: 26093

Correct? Yes

Problem: A sports store originally thought they sold 20 pairs of ice skates per day, each priced at $99. But then, they realized that they actually sold 943 pairs of ice skates per day. Determine the total revenue of the sports store in one day considering the updated quantity of sold ice skates?

GPT-4o:

To determine the total revenue in one day with the updated quantity of sold ice skates, we need to multiply the new number of pairs of ice skates sold by the price per pair.

Number of pairs of ice skates sold per day = 943
Price per pair of ice skates = $99

Total revenue = Number of pairs sold × Price per pair
Total revenue = 943 × $99

Now, we perform the multiplication:
943 × $99 = 943 × (100 - 1) = 943 × 100 - 943 × 1
= 94300 - 943
= 93357

### Answer: $93357

Expected answer: 93357

Correct? Yes

Problem: Suppose instead of 73 flamingos, the zookeeper had to feed 4695 flamingos. Each flamingo still eats 10 shrimp every day. How many shrimp would the zookeeper need to feed all the flamingos for one day?

GPT-4o:

To determine the total number of shrimp needed to feed 4695 flamingos for one day, we need to multiply the number of flamingos by the number of shrimp each flamingo eats daily.

Given:
- Number of flamingos = 4695
- Shrimp eaten per flamingo per day = 10

Calculation:
\[ 4695 \text{ flamingos} \times 10 \text{ shrimp per flamingo} = 46950 \text{ shrimp} \]

### Answer: 46950

Expected answer: 46950

Correct? Yes

Problem: The beach ball factory's production increases and they now produce 566 beach balls each hour for 89 hours. How many beach balls have they now made?

GPT-4o:

To find the total number of beach balls produced with the increased production rate, we need to multiply the new number of beach balls produced per hour by the number of hours worked.

Given:
- Number of beach balls produced each hour = 566
- Number of hours worked = 89

We calculate the total production as follows:
\[ 566 \text{ beach balls/hour} \times 89 \text{ hours} \]

First, let's break down the multiplication for clarity:
\[ 566 \times 89 = 566 \times (90 - 1) \]
\[ = 566 \times 90 - 566 \times 1 \]
\[ = 50940 - 566 \]
\[ = 50374 \]

Thus, the factory produced 50,374 beach balls in 89 hours.

### Answer: 50374

Expected answer: 50374

Correct? Yes

Problem: The marine biologist initially mistook some other marine creatures for starfish. After careful examination, she found that there were actually 2771 groups of starfish, not 91. Each group still contained 36 starfish. How many starfish were there really?

GPT-4o:

To find the total number of starfish, we need to multiply the corrected number of groups by the number of starfish in each group.

Given:
- Corrected number of groups = 2771
- Number of starfish per group = 36

We calculate:
\[ 2771 \times 36 \]

First, we break it down using the distributive property:
\[ 2771 \times 36 = 2771 \times (30 + 6) \]
\[ = 2771 \times 30 + 2771 \times 6 \]

Now, calculate each part separately:
\[ 2771 \times 30 = 83130 \]
\[ 2771 \times 6 = 16626 \]

Add the two results together:
\[ 83130 + 16626 = 99756 \]

So, the total number of starfish is:
### Answer: 99756

Expected answer: 99756

Correct? Yes

Problem: Suppose instead of requiring 74 pieces, each jungle gym requires 579 pieces. How many total pieces are now used to build all 37 jungle gyms?

GPT-4o:

To find the total number of pieces used to build all the jungle gyms, we need to multiply the number of jungle gyms by the number of pieces required for each one.

Given:
- Number of jungle gyms = 37
- Pieces required per jungle gym = 579

We calculate the total pieces as follows:
\[ 37 \times 579 \]

First, we can break down the multiplication for easier calculation:
\[ 37 \times 579 = 37 \times (500 + 70 + 9) \]
\[ = 37 \times 500 + 37 \times 70 + 37 \times 9 \]

Now, calculate each part separately:
\[ 37 \times 500 = 18500 \]
\[ 37 \times 70 = 2590 \]
\[ 37 \times 9 = 333 \]

Add these three results together:
\[ 18500 + 2590 + 333 = 21423 \]

Therefore, the total number of pieces used to build all the jungle gyms is:
### Answer: 21423

Expected answer: 21423

Correct? Yes

Problem: If the phone manufacturing company instead produces 3458 phones every hour for 9 hours, how many phones have they produced now?

GPT-4o:

To find the total number of phones produced, we need to multiply the number of phones produced per hour by the number of hours.

Given:
- Number of phones produced per hour = 3458
- Number of hours = 9

We perform the multiplication:
\[ 3458 \times 9 \]

Let's break it down step-by-step:
\[ 3458 \times 9 = (3000 + 400 + 50 + 8) \times 9 \]
\[ = 3000 \times 9 + 400 \times 9 + 50 \times 9 + 8 \times 9 \]
\[ = 27000 + 3600 + 450 + 72 \]
\[ = 27000 + 3600 + 450 + 72 \]
\[ = 31050 + 72 \]
\[ = 31122 \]

So, the total number of phones produced is:
### Answer: 31122

Expected answer: 31122

Correct? Yes

Problem: In the original estimation, it was mistakenly counted that the Princess owns 16 dresses. In reality, she owns 1016 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses now?

GPT-4o:

To find the total number of sequins on all the dresses, we need to multiply the number of dresses by the number of sequins per dress.

The Princess owns 1016 dresses, and each dress has 72 sequins.

So, we calculate:
\[ 1016 \times 72 \]

First, let's break it down using the distributive property:
\[ 1016 \times 72 = 1016 \times (70 + 2) \]
\[ = (1016 \times 70) + (1016 \times 2) \]

Now, calculate each part:
\[ 1016 \times 70 = 1016 \times 7 \times 10 = 7112 \times 10 = 71120 \]
\[ 1016 \times 2 = 2032 \]

Add these two results together:
\[ 71120 + 2032 = 73152 \]

Therefore, the total number of sequins on all the dresses is:
### Answer: 73152

Expected answer: 73152

Correct? Yes

Problem: Suppose the shoe factory instead made 2311 shoes each day for the same 8 days. How many shoes would they have made then?

GPT-4o:

To find the total number of shoes made by the factory over 8 days when they produce 2311 shoes each day, we need to multiply the number of shoes made per day by the number of days.

Given:
- Number of shoes made per day = 2311
- Number of days = 8

We perform the multiplication:
\[ 2311 \times 8 \]

Let's calculate it step-by-step:
\[ 2311 \times 8 = 18488 \]

So, the factory would have made 18,488 shoes over 8 days.

### Answer: 18488

Expected answer: 18488

Correct? Yes

Problem: If the cheese factory actually produced 4145 kilograms of cheese each day instead of 7975 kilograms, how many kilograms of cheese would they have produced in 4 days?

GPT-4o:

To find the total amount of cheese produced over 4 days with the new daily production rate, we need to multiply the new daily production by the number of days.

New daily production of cheese = 4145 kilograms
Number of days = 4

Total production = New daily production × Number of days
Total production = 4145 kg/day × 4 days

Now, let's perform the multiplication:

\[ 4145 \times 4 = 16580 \]

So, the cheese factory would have produced 16,580 kilograms of cheese over 4 days.

### Answer: 16,580 kilograms

Expected answer: 16580

Correct? Yes

Problem: If instead, there were 9553 grains of sand in each of the 9 piles in the sandbox, how many grains of sand would there be in total now?

GPT-4o:

To find the total number of grains of sand, we need to multiply the number of grains in each pile by the number of piles.

Given:
- Number of grains of sand in each pile = 9553
- Number of piles = 9

We calculate the total number of grains of sand as follows:
\[ 9553 \times 9 \]

Let's perform the multiplication step-by-step:
\[ 9553 \times 9 = 85977 \]

Therefore, the total number of grains of sand in the sandbox is 85,977.

### Answer: 85977

Expected answer: 85977

Correct? Yes

Problem: The police station adjusted its data and found out that they actually receive 20 emergency calls every day for 2675 days. How many emergency calls will they have received given this new information?

GPT-4o:

To find the total number of emergency calls received over 2675 days, we need to multiply the number of calls received per day by the number of days.

Number of calls per day = 20
Number of days = 2675

Total number of calls = Number of calls per day × Number of days
Total number of calls = 20 × 2675

Now, let's perform the multiplication:

20 × 2675 = 20 × (2000 + 600 + 75)
          = (20 × 2000) + (20 × 600) + (20 × 75)
          = 40000 + 12000 + 1500
          = 53500

### Answer: 53500

Expected answer: 53500

Correct? Yes

Problem: If the baby instead said 6695 words per day for the same 8 days, how many words does the baby say in total now?

GPT-4o:

To find the total number of words the baby says in 8 days, we need to multiply the number of words said in one day by the number of days.

Given:
- Words per day = 6695
- Number of days = 8

We calculate:
\[ 6695 \times 8 \]

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

\[ 6695 \times 8 = 53560 \]

So, the baby says a total of 53,560 words in 8 days.

### Answer: 53,560

Expected answer: 53560

Correct? Yes

Problem: Suppose the hat maker instead crafted 9 unique hats, each with a more complex design consisting of 9163 stitches. How many stitches would be there in total across all hats in this scenario?

GPT-4o:

To find the total number of stitches across all 9 hats, we need to multiply the number of stitches per hat by the number of hats.

Each hat has 9163 stitches, and there are 9 hats. Therefore, we calculate:

\[ 9163 \times 9 \]

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

\[ 9163 \times 9 = (9000 + 100 + 60 + 3) \times 9 \]

First, multiply each term by 9:

\[ 9000 \times 9 = 81000 \]
\[ 100 \times 9 = 900 \]
\[ 60 \times 9 = 540 \]
\[ 3 \times 9 = 27 \]

Now, add these results together:

\[ 81000 + 900 + 540 + 27 = 82467 \]

So, the total number of stitches across all 9 hats is:

### Answer: 82467

Expected answer: 82467

Correct? Yes

Problem: Suppose instead of the previous breed, you have a different breed of cat that has an average of 5245 strands of fur. If you have one of these cats, how many strands of fur does it have?

GPT-4o:

The problem states that this different breed of cat has an average of 5245 strands of fur. If you have one of these cats, it will have the average number of strands of fur.

### Answer: 5245

Expected answer: 5245

Correct? Yes

Problem: If instead, the bakery made 2 cakes, each with 5243 calories, how many calories would there be in total now?

GPT-4o:

To find the total number of calories in the 2 cakes, we need to multiply the number of calories in one cake by the number of cakes.

Each cake has 5243 calories, and there are 2 cakes.

So, we calculate:
\[ 5243 \times 2 \]

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

\[ 5243 \times 2 = 10486 \]

Therefore, the total number of calories in the 2 cakes is 10486.

### Answer: 10486

Expected answer: 10486

Correct? Yes

Problem: What if the sleeping bag manufacturing company instead produced 8567 sleeping bags every day for the same 9 days? How many sleeping bags would they produce then?

GPT-4o:

To find the total number of sleeping bags produced over 9 days when the company produces 8567 sleeping bags each day, we need to multiply the number of sleeping bags produced each day by the number of days.

Given:
- Number of sleeping bags produced each day = 8567
- Number of days = 9

We calculate:
\[ 8567 \times 9 \]

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

\[ 8567 \times 9 = 77103 \]

So, the total number of sleeping bags produced over 9 days is 77,103.

### Answer: 77103

Expected answer: 77103

Correct? Yes

Problem: A candy factory decides to increase their output and now produces 7880 candies every hour for 5 hours. How many candies have they produced now?

GPT-4o:

To find the total number of candies produced after the increase, we need to multiply the new number of candies produced per hour by the number of hours.

Given:
- New candies produced per hour = 7880
- Number of hours = 5

Calculation:
\[ 7880 \text{ candies/hour} \times 5 \text{ hours} = 39400 \text{ candies} \]

### Answer: 39400

Expected answer: 39400

Correct? Yes

Problem: What would be the total number of snowballs used if the group of children only built each snowman with 174 snowballs instead of 4016?

GPT-4o:

To find the total number of snowballs used when each snowman contains 174 snowballs, we need to multiply the number of snowmen by the number of snowballs each snowman contains.

Number of snowmen: 5
Number of snowballs per snowman: 174

Total number of snowballs = Number of snowmen × Number of snowballs per snowman
Total number of snowballs = 5 × 174

Let's perform the multiplication:
\[ 5 \times 174 = 870 \]

### Answer: 870

Expected answer: 870

Correct? Yes

Problem: Suppose the dairy farmer decides to increase his production and now fills up 2110 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day now?

GPT-4o:

To determine how many liters of milk the dairy farmer fills up in a day with the increased production, we need to multiply the number of bottles by the amount of milk each bottle contains.

Given:
- Number of bottles per day = 2110
- Liters of milk per bottle = 46

We calculate the total liters of milk as follows:
\[ 2110 \text{ bottles/day} \times 46 \text{ liters/bottle} = 97060 \text{ liters/day} \]

### Answer: 97060 liters

Expected answer: 97060

Correct? Yes

Problem: If the river, instead of flowing at a rate of 9441 litres per second, flowed at a rate of 4184 litres per second, what would be the total amount of water, in litres, that it would discharge into the sea in 9 seconds?

GPT-4o:

To find the total amount of water discharged into the sea in 9 seconds at the new rate of flow, we need to multiply the new rate of flow by the time.

The new rate of flow is 4184 litres per second, and the time is 9 seconds.

\[
\text{Total amount of water} = \text{Rate of flow} \times \text{Time}
\]

\[
\text{Total amount of water} = 4184 \, \text{litres/second} \times 9 \, \text{seconds}
\]

\[
\text{Total amount of water} = 37656 \, \text{litres}
\]

### Answer: 37656 litres

Expected answer: 37656

Correct? Yes

Problem: If the balloon factory only managed to produce 97 balloons every day instead of 4238, over the same span of 8 days, how many balloons would they have created?

GPT-4o:

To find the total number of balloons created by the factory over 8 days when producing 97 balloons each day, we need to multiply the number of balloons created each day by the number of days.

Given:
- Number of balloons created each day = 97
- Number of days = 8

We perform the multiplication:
\[ 97 \times 8 \]

Let's break it down step-by-step:
\[ 97 \times 8 = (90 + 7) \times 8 \]
\[ = 90 \times 8 + 7 \times 8 \]
\[ = 720 + 56 \]

Now, we add these results together:
\[ 720 + 56 = 776 \]

### Answer: 776

Expected answer: 776

Correct? Yes

Problem: The factory decides to increase its efficiency and starts producing 656 batches of ice cream every day instead of 59, still over 26 days. How many total batches of ice cream have they now produced for that period?

GPT-4o:

To find the total number of batches of ice cream produced with the increased efficiency, we need to multiply the new number of batches produced per day by the number of days.

Given:
- New number of batches per day = 656
- Number of days = 26

We calculate the total number of batches as follows:
\[ \text{Total batches} = 656 \times 26 \]

First, we can break down the multiplication for easier calculation:
\[ 656 \times 26 = 656 \times (20 + 6) \]
\[ = 656 \times 20 + 656 \times 6 \]

Now, calculate each part separately:
\[ 656 \times 20 = 13120 \]
\[ 656 \times 6 = 3936 \]

Add these two results together:
\[ 13120 + 3936 = 17056 \]

Therefore, the total number of batches of ice cream produced is:
### Answer: 17056

Expected answer: 17056

Correct? Yes

Problem: Instead of 91 fish in each tank, the breeder puts 581 fish in each of the 86 tanks. How many fish does the breeder have now?

GPT-4o:

To find the total number of fish, we need to multiply the number of tanks by the number of fish per tank.

Given:
- Number of tanks = 86
- Number of fish per tank = 581

We calculate:
\[ 86 \times 581 \]

First, we can break this multiplication into simpler parts using the distributive property:
\[ 86 \times 581 = 86 \times (500 + 80 + 1) \]
\[ = 86 \times 500 + 86 \times 80 + 86 \times 1 \]

Now, calculate each part separately:
\[ 86 \times 500 = 43000 \]
\[ 86 \times 80 = 6880 \]
\[ 86 \times 1 = 86 \]

Add these results together:
\[ 43000 + 6880 + 86 = 49966 \]

So, the total number of fish the breeder has now is:
### Answer: 49966

Expected answer: 49966

Correct? Yes

Problem: After the initial 21 hours of production, the car factory boosts its production and starts producing 1204 cars every hour for 42 hours. How many cars were produced during this increased production period?

GPT-4o:

To find the total number of cars produced during the increased production period, we need to multiply the number of cars produced per hour by the number of hours worked.

Number of cars produced per hour = 1204
Number of hours worked = 42

Total number of cars produced = 1204 cars/hour * 42 hours

Let's calculate this:

\[ 1204 \times 42 = 1204 \times (40 + 2) = (1204 \times 40) + (1204 \times 2) \]
\[ 1204 \times 40 = 48160 \]
\[ 1204 \times 2 = 2408 \]
\[ 48160 + 2408 = 50568 \]

### Answer: 50568

Expected answer: 50568

Correct? Yes

Problem: The library decides to add more books to each shelf. Now, each of the 581 shelves has 63 books. How many books are there in the library now?

GPT-4o:

To find the total number of books in the library after the addition, we need to multiply the new number of shelves by the number of books per shelf.

Number of shelves = 581
Number of books per shelf = 63

Total number of books = Number of shelves × Number of books per shelf
Total number of books = 581 × 63

Let's perform the multiplication:

581 × 63 = 581 × (60 + 3)
         = (581 × 60) + (581 × 3)
         = 34860 + 1743
         = 36603

### Answer: 36603

Expected answer: 36603

Correct? Yes

Problem: The scientist makes a revision to his measurements and now believes that the intensity of the rainbow actually increases by 4301 units for each color seen. If there are the same 8 colors appearing, what is the total increase in intensity of the rainbow now?

GPT-4o:

To find the revised total increase in intensity of the rainbow, we need to multiply the revised increase in intensity per color by the number of colors.

Given:
- Revised increase in intensity per color = 4301 units
- Number of colors = 8

Total increase in intensity = Revised increase in intensity per color × Number of colors
\[ \text{Total increase in intensity} = 4301 \, \text{units/color} \times 8 \, \text{colors} \]

Now, perform the multiplication:
\[ 4301 \times 8 = 34408 \]

### Answer: 34408 units

Expected answer: 34408

Correct? Yes

Problem: After scanning the initial batch, your friend continues their project and manages to scan 8149 photos every day for the next 9 days. How many additional photos have they managed to scan?

GPT-4o:

To find the number of additional photos scanned, we need to multiply the number of photos scanned per day by the number of days.

Number of photos scanned per day: 8149
Number of days: 9

Total additional photos scanned = 8149 photos/day * 9 days

Let's perform the multiplication:

\[ 8149 \times 9 = 73341 \]

So, the total number of additional photos scanned in the next 9 days is 73,341.

### Answer: 73,341

Expected answer: 73341

Correct? Yes

Problem: The gardener decides to plant more flowers. This time, he plants 1523 flowers, each still taking 60 minutes to plant. How many minutes will it take the gardener to plant all these new flowers?

GPT-4o:

To determine the total time the gardener will take to plant the new set of flowers, we need to multiply the number of flowers by the time it takes to plant each one.

Given:
- Number of flowers = 1523
- Time to plant each flower = 60 minutes

Total time = Number of flowers × Time per flower
Total time = 1523 × 60

Now, we perform the multiplication:
1523 × 60 = 1523 × (6 × 10) = (1523 × 6) × 10

First, calculate 1523 × 6:
1523 × 6 = 9138

Then, multiply the result by 10:
9138 × 10 = 91380

So, the gardener will take 91380 minutes to plant all the new flowers.

### Answer: 91380

Expected answer: 91380

Correct? Yes

Problem: Now imagine that instead of carrying 22 extraterrestrials, each UFO carries 1066 aliens. How many aliens would they then have sent to Earth?

GPT-4o:

To determine the total number of extraterrestrials sent to Earth with the new number of aliens per UFO, we need to multiply the number of UFOs by the new number of extraterrestrials each UFO carries.

Given:
- Number of UFOs = 18
- Number of extraterrestrials per UFO = 1066

Calculation:
\[ 18 \text{ UFOs} \times 1066 \text{ extraterrestrials per UFO} = 19188 \text{ extraterrestrials} \]

### Answer: 19188

Expected answer: 19188

Correct? Yes

Problem: In the previous problem, we discussed a kite maker who produces 3 types of kites, each type having 8497 pieces. Now, let's consider a different scenario where each type of kite has 4425 pieces instead. So, how many pieces would they have in total in this new scenario?

GPT-4o:

To find the total number of pieces in the new scenario, we need to multiply the number of pieces per type of kite by the number of types of kites.

Given:
- Number of pieces per type of kite = 4425
- Number of types of kites = 3

We calculate the total number of pieces as follows:
\[ 4425 \times 3 = 13275 \]

### Answer: 13275

Expected answer: 13275

Correct? Yes

Problem: After making 92 tables every day for 28 days, the table making company received another order. This time, they need to make 843 tables per day for the next 92 days. How many tables will they make in this period?

GPT-4o:

To find the total number of tables the company will make in the new order, we need to multiply the number of tables made per day by the number of days.

Given:
- Number of tables made per day = 843
- Number of days = 92

We calculate:
\[ 843 \times 92 \]

First, we can break this multiplication into simpler parts:
\[ 843 \times 92 = 843 \times (90 + 2) \]
\[ = 843 \times 90 + 843 \times 2 \]

Now, calculate each part separately:
\[ 843 \times 90 = 843 \times (9 \times 10) = (843 \times 9) \times 10 \]
\[ 843 \times 9 = 7587 \]
\[ 7587 \times 10 = 75870 \]

Next, calculate:
\[ 843 \times 2 = 1686 \]

Add these two results together:
\[ 75870 + 1686 = 77556 \]

### Answer: 77556

Expected answer: 77556

Correct? Yes

Problem: If instead of burning 7905 logs every week for 4 weeks, the fireplace had burned 8373 logs per week for the same duration, how many logs would it have burned?

GPT-4o:

To determine how many logs the fireplace would have burned if it burned 8373 logs per week for 4 weeks, we need to multiply the number of logs burned per week by the number of weeks.

Given:
- Logs burned per week = 8373
- Number of weeks = 4

Calculation:
\[ 8373 \times 4 = 33492 \]

So, the fireplace would have burned 33,492 logs over 4 weeks.

### Answer: 33492

Expected answer: 33492

Correct? Yes

Problem: If the toothpaste factory instead produced 291 tubes of toothpaste every hour, how many would they produce if they still operated for 9 hours?

GPT-4o:

To find the total number of tubes of toothpaste produced, we need to multiply the number of tubes produced per hour by the number of hours the factory operates.

Given:
- The factory produces 291 tubes of toothpaste every hour.
- The factory operates for 9 hours.

We calculate the total production as follows:
\[ 291 \text{ tubes/hour} \times 9 \text{ hours} = 2619 \text{ tubes} \]

### Answer: 2619

Expected answer: 2619

Correct? Yes

Problem: The farmer realized he made a mistake and only harvested 550 cucumbers from each of his 3 fields. How many cucumbers did he actually harvest in total?

GPT-4o:

To find the actual total number of cucumbers harvested, we need to multiply the number of cucumbers harvested from each field by the number of fields.

Given:
- Number of cucumbers per field = 550
- Number of fields = 3

Calculation:
\[ 550 \times 3 = 1650 \]

So, the farmer actually harvested a total of 1,650 cucumbers.

### Answer: 1650

Expected answer: 1650

Correct? Yes

Problem: In the same zoo, consider a scenario where each of the 84 enclosures instead housed 511 animals. In light of this change, how many animals would there be in total across all enclosures?

GPT-4o:

To find the total number of animals in all the enclosures with the new number of animals per enclosure, we need to multiply the number of enclosures by the number of animals per enclosure.

Given:
- Number of enclosures = 84
- Number of animals per enclosure = 511

We calculate the total number of animals as follows:
\[ 84 \times 511 \]

First, we can break down the multiplication for easier calculation:
\[ 84 \times 511 = 84 \times (500 + 11) \]
\[ = 84 \times 500 + 84 \times 11 \]

Now, calculate each part separately:
\[ 84 \times 500 = 42000 \]
\[ 84 \times 11 = 924 \]

Add the two products together:
\[ 42000 + 924 = 42924 \]

Thus, the total number of animals in all the enclosures is:
### Answer: 42924

Expected answer: 42924

Correct? Yes

Problem: Considering that the dragon instead burned 2302 trees each day for the same 3 days, how many trees in total did the dragon burn in these three days?

GPT-4o:

To find the total number of trees burned by the dragon over three days, we need to multiply the number of trees burned per day by the number of days.

Number of trees burned per day: 2302
Number of days: 3

Total trees burned = 2302 trees/day * 3 days

Let's perform the multiplication:

\[
2302 \times 3 = 6906
\]

So, the total number of trees burned by the dragon in three days is 6,906.

### Answer: 6906

Expected answer: 6906

Correct? Yes

Problem: There is a second mountain that is 3488 meters tall. How many meters tall is a mountain that is exactly 1 times the height of this second mountain?

GPT-4o:

To find the height of a mountain that is exactly 1 times the height of the second mountain, we simply multiply the height of the second mountain by 1.

Given:
Height of the second mountain = 3488 meters

Calculation:
\[ 3488 \times 1 = 3488 \]

### Answer: 3488 meters

Expected answer: 3488

Correct? Yes

Problem: Instead of having an area of 18 miles by 18 miles, what if the cloud formation now occupies an area of 18 miles by 2898 miles. What is the total number of square miles occupied by the cloud formation now?

GPT-4o:

To find the total number of square miles occupied by the cloud formation, we need to calculate the area of the rectangle. The formula for the area of a rectangle is given by:

\[ \text{Area} = \text{length} \times \text{width} \]

Given that the length is 18 miles and the width is 2898 miles, we can substitute these values into the formula:

\[ \text{Area} = 18 \, \text{miles} \times 2898 \, \text{miles} \]

Now, we perform the multiplication:

\[ \text{Area} = 18 \times 2898 \]

To simplify the multiplication, we can break it down:

\[ 18 \times 2898 = 18 \times (2900 - 2) = 18 \times 2900 - 18 \times 2 \]

Calculating each part separately:

\[ 18 \times 2900 = 18 \times (29 \times 100) = (18 \times 29) \times 100 \]
\[ 18 \times 29 = 522 \]
\[ 522 \times 100 = 52200 \]

And:

\[ 18 \times 2 = 36 \]

Now, subtract the second part from the first part:

\[ 52200 - 36 = 52164 \]

So, the total area is:

\[ \text{Area} = 52164 \, \text{square miles} \]

### Answer: 52164 square miles

Expected answer: 52164

Correct? Yes

Problem: Suppose the helicopter builder now needs 7661 parts for each helicopter, instead of 3224 as originally planned. If they still plan to build 4 helicopters, how many parts will they need in total now?

GPT-4o:

To determine the total number of parts needed to build 4 helicopters with the new requirement, we need to multiply the number of parts required for one helicopter by the number of helicopters.

Given:
- Number of parts needed for one helicopter = 7661
- Number of helicopters = 4

Calculation:
\[ 7661 \times 4 = 30644 \]

Thus, the total number of parts needed to build 4 helicopters is 30644.

### Answer: 30644

Expected answer: 30644

Correct? Yes

Problem: Now suppose the jacket factory instead produces 2079 jackets each day for two days. How many jackets have they produced now?

GPT-4o:

To find the total number of jackets produced over two days, we need to multiply the number of jackets produced each day by the number of days.

Number of jackets produced each day: 2079
Number of days: 2

Total jackets produced = 2079 jackets/day * 2 days

Let's perform the multiplication:

\[ 2079 \times 2 = 4158 \]

### Answer: 4158

Expected answer: 4158

Correct? Yes

Problem: Suppose the towel factory increased its production and now makes 7978 towels every day for the same 9 days. How many towels have they produced now?

GPT-4o:

To find the total number of towels produced by the factory over 9 days with the increased production rate, we need to multiply the new number of towels produced each day by the number of days.

Number of towels produced each day = 7978
Number of days = 9

Total number of towels produced = 7978 towels/day * 9 days

Let's perform the multiplication:

\[ 7978 \times 9 = 71802 \]

### Answer: 71802

Expected answer: 71802

Correct? Yes

Problem: What if the manufacturer decides to reduce the price and sell the binoculars for 7302 dollars each instead? How much would they make per day then?

GPT-4o:

To determine the new daily revenue after the price reduction, we need to consider the new price per pair of binoculars.

Given:
- The manufacturer makes 1 pair of binoculars per day.
- The new price per pair of binoculars is $7302.

Since the manufacturer sells 1 pair of binoculars each day, the new daily revenue is simply the new price of one pair.

Therefore, the new daily revenue is:
\[ 1 \text{ pair/day} \times 7302 \text{ dollars/pair} = 7302 \text{ dollars/day} \]

### Answer: 7302 dollars.

Expected answer: 7302

Correct? Yes