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Claude-3 Opus on 6.EE.B.7

Common Core Standard 6.EE.B.7

This standard covers the following:

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

๐Ÿ”— Problem

Problem: James has a pair of binoculars that allows him to see 12 miles. If the basic binoculars only see 6 miles, how much additional distance does James's binoculars cover?

Claude-3 Opus:

To find the additional distance James's binoculars cover, we need to subtract the distance the basic binoculars cover from the distance James's binoculars cover.

Given:
- James's binoculars can see 12 miles.
- Basic binoculars can see 6 miles.

Additional distance = Distance of James's binoculars - Distance of basic binoculars
Additional distance = 12 miles - 6 miles = 6 miles

Therefore, James's binoculars cover an additional 6 miles compared to the basic binoculars.

### Answer: 6 miles

Expected answer: 6

Correct? Yes

๐Ÿ”— Problem

Problem: A box has 641 balls in total. If 284 of those balls are yellow, how many balls are not yellow?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The box has a total of 641 balls.
   * 284 of those balls are yellow.

2. To find the number of balls that are not yellow, we need to subtract the number of yellow balls from the total number of balls.

3. Number of non-yellow balls = Total balls - Yellow balls
   * Number of non-yellow balls = 641 - 284
   * Number of non-yellow balls = 357

Therefore, there are 357 balls in the box that are not yellow.

### Answer: 357

Expected answer: 357

Correct? Yes

๐Ÿ”— Problem

Problem: In a bag, there are total 355 balls. If there are already 44 green balls, how many red balls should be added to the bag?

Claude-3 Opus:

To solve this problem, we need to determine the number of red balls that should be added to the bag to make the total number of balls 355, given that there are already 44 green balls in the bag.

Given:
- The total number of balls in the bag should be 355.
- There are already 44 green balls in the bag.

Let's calculate the number of red balls needed:

Number of red balls = Total balls - Green balls
Number of red balls = 355 - 44
Number of red balls = <<355-44=311>>311

Therefore, 311 red balls should be added to the bag to make the total number of balls 355.

### Answer: 311

Expected answer: 311

Correct? Yes

๐Ÿ”— Problem

Problem: In a toy shop, there is a total of 601 toy cars. If 321 toy cars are blue, how many toy cars are not blue?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* There are a total of 601 toy cars in the shop.
* 321 of these toy cars are blue.

To find out how many toy cars are not blue, we need to subtract the number of blue toy cars from the total number of toy cars.

Total toy cars - Blue toy cars = Non-blue toy cars
601 - 321 = 280

Therefore, there are 280 toy cars that are not blue.

### Answer: 280

Expected answer: 280

Correct? Yes

๐Ÿ”— Problem

Problem: A certain breed of mouse has a metabolic rate such that it needs to consume 104 food units every day. If a group of these mice require 7592 units of food for one day, how many mice are there in the group?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Each mouse needs 104 food units per day.
   * The group of mice requires 7592 food units for one day.

2. To find the number of mice in the group, we need to divide the total food units required by the group by the food units required by each mouse.

3. Calculation:
   * Number of mice = Total food units required by the group รท Food units required by each mouse
   * Number of mice = 7592 รท 104
   * Number of mice = 73

Therefore, there are 73 mice in the group.

### Answer: 73

Expected answer: 73

Correct? Yes

๐Ÿ”— Problem

Problem: In a park, there are 311 kids playing. If 159 of them are playing on the jungle gym, how many kids are not using the jungle gym?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * There are 311 kids playing in the park.
   * 159 of them are playing on the jungle gym.

2. To find the number of kids not using the jungle gym, we need to subtract the number of kids playing on the jungle gym from the total number of kids in the park.

3. Number of kids not using the jungle gym = Total number of kids - Number of kids on the jungle gym
   * Number of kids not using the jungle gym = 311 - 159
   * Number of kids not using the jungle gym = 152

Therefore, 152 kids are not using the jungle gym.

### Answer: 152

Expected answer: 152

Correct? Yes

๐Ÿ”— Problem

Problem: In a basket, there are 168 apples. If a person just added 166 apples, how many apples were there in the basket before they were added?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * There are currently 168 apples in the basket.
   * A person just added 166 apples to the basket.
   * We need to find out how many apples were in the basket before the 166 apples were added.

2. To find the number of apples in the basket before the addition, we need to subtract the number of apples added from the current total:
   * Apples before = Current total - Apples added
   * Apples before = 168 - 166
   * Apples before = 2

Therefore, there were 2 apples in the basket before the person added 166 apples.

### Answer: 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

Problem: In a fantasy world, a dragon currently owns 380 gold coins in his treasure pile. If he had previously collected 333 gold coins, how many gold coins did he just add to his treasure pile?

Claude-3 Opus:

To solve this problem, let's organize the information we have:
* The dragon currently has 380 gold coins in his treasure pile.
* He previously had 333 gold coins.

To find out how many gold coins the dragon just added to his treasure pile, we need to subtract the number of coins he previously had from the number of coins he currently has.

Current coins - Previous coins = Newly added coins
380 - 333 = <<380-333=47>>47

Therefore, the dragon just added 47 gold coins to his treasure pile.

### Answer: 47

Expected answer: 47

Correct? Yes

๐Ÿ”— Problem

Problem: An accomplished drummer practices 9234 beats per day. If they play each drum solo 171 times a day, how many beats do they play during each solo?

Claude-3 Opus:

To find the number of beats played during each solo, we need to divide the total number of beats per day by the number of times the drummer plays each solo.

Given:
- The drummer practices 9234 beats per day.
- They play each drum solo 171 times a day.

Number of beats per solo = Total beats per day รท Number of times each solo is played
Number of beats per solo = 9234 รท 171 = 54

To check if this is correct, we can multiply the number of beats per solo by the number of times each solo is played:
54 ร— 171 = 9234

This matches the total number of beats per day, so our calculation is correct.

### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Problem

Problem: A zoo has 373 tigers in total. If the zoo added 55 new tigers and that made the total number of tigers 373, how many tigers were there in the zoo before the new ones arrived?

Claude-3 Opus:

To solve this problem, let's organize the information we have:
* The zoo currently has 373 tigers in total.
* They added 55 new tigers to reach this total.
* We need to find out how many tigers were in the zoo before the new ones arrived.

Let's solve this step by step:
1. We know that the current total number of tigers is the sum of the original number of tigers and the newly added tigers.
2. So, if we subtract the number of newly added tigers from the current total, we will get the original number of tigers.

Original number of tigers = Current total - Newly added tigers
Original number of tigers = 373 - 55
Original number of tigers = 318

Therefore, there were 318 tigers in the zoo before the new ones arrived.

### Answer: 318

Expected answer: 318

Correct? Yes

๐Ÿ”— Problem

Problem: A sunglasses store has 352 pairs of sunglasses in total. If 182 pairs are for men, how many pairs are for women?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The sunglasses store has a total of 352 pairs of sunglasses.
   * 182 pairs of sunglasses are for men.

2. To find the number of pairs of sunglasses for women, we need to subtract the number of men's sunglasses from the total number of sunglasses:
   * Pairs of sunglasses for women = Total pairs of sunglasses - Pairs of sunglasses for men
   * Pairs of sunglasses for women = 352 - 182
   * Pairs of sunglasses for women = <<352-182=170>>170

Therefore, the sunglasses store has 170 pairs of sunglasses for women.

### Answer: 170

Expected answer: 170

Correct? Yes

๐Ÿ”— Problem

Problem: If the cloudiness index of city A was 1 point more than city B and city A had a cloudiness index of 157, what was the cloudiness index of city B?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * City A's cloudiness index is 1 point more than city B's cloudiness index.
   * City A's cloudiness index is 157.

2. Set up an equation to represent the relationship between the cloudiness indices of city A and city B:
   * Let's denote city B's cloudiness index as x.
   * City A's cloudiness index = City B's cloudiness index + 1
   * 157 = x + 1

3. Solve the equation to find city B's cloudiness index:
   * 157 = x + 1
   * 157 - 1 = x + 1 - 1
   * 156 = x

Therefore, city B's cloudiness index is 156.

### Answer: 156

Expected answer: 156

Correct? Yes

๐Ÿ”— Problem

Problem: A UFO was captured flying at a consistent speed. It was calculated that it traveled 3660 kilometers in 60 minutes. What was the speed of the UFO in kilometers per minute?

Claude-3 Opus:

To find the speed of the UFO in kilometers per minute, we need to divide the total distance traveled by the total time taken.

Given:
- The UFO traveled 3660 kilometers in 60 minutes.

Step 1: Divide the total distance by the total time.
Speed = Distance รท Time
Speed = 3660 kilometers รท 60 minutes
Speed = 61 kilometers per minute

Therefore, the UFO was traveling at a speed of 61 kilometers per minute.

### Answer: 61 kilometers per minute.

Expected answer: 61

Correct? Yes

๐Ÿ”— Problem

Problem: You have a juice store that has a total of 655 bottles of juice. If 386 are apple juice, how many bottles of other types of juice are there?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The juice store has a total of 655 bottles of juice.
* 386 of these bottles are apple juice.

To find the number of bottles of other types of juice, we need to subtract the number of apple juice bottles from the total number of bottles.

Other types of juice = Total bottles - Apple juice bottles
Other types of juice = 655 - 386
Other types of juice = <<655-386=269>>269

Therefore, there are 269 bottles of other types of juice in the store.

### Answer: 269

Expected answer: 269

Correct? Yes

๐Ÿ”— Problem

Problem: In a faraway galactic system a star radiates energy at 401 units per hour. If this amount includes 82 background units, how much energy does the star itself radiate per hour?

Claude-3 Opus:

To find out how much energy the star itself radiates per hour, we need to subtract the background units from the total units of energy radiated.

Given:
- The star system radiates a total of 401 units of energy per hour.
- This amount includes 82 background units.

To calculate the energy radiated by the star itself, we subtract the background units from the total units:

Energy radiated by the star = Total energy radiated - Background units
Energy radiated by the star = 401 - 82 = 319

Therefore, the star itself radiates 319 units of energy per hour.

### Answer: 319 units of energy per hour.

Expected answer: 319

Correct? Yes

๐Ÿ”— Problem

Problem: A farmer had 414 grapes. After selling 78 of them, how many grapes do they have left?

Claude-3 Opus:

To solve this problem, let's use the following steps:

1. Understand the given information:
   * The farmer initially had 414 grapes.
   * The farmer sold 78 grapes.

2. To find the number of grapes left, we need to subtract the number of grapes sold from the initial number of grapes:
   * Grapes left = Initial grapes - Grapes sold
   * Grapes left = 414 - 78
   * Grapes left = 336

Therefore, after selling 78 grapes, the farmer has 336 grapes left.

### Answer: 336

Expected answer: 336

Correct? Yes

๐Ÿ”— Problem

Problem: In a candy store, there are 107 total lollipops. If there are 34 apple-flavored lollipops, how many lollipops are of other flavors?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* There are 107 lollipops in total.
* 34 of these lollipops are apple-flavored.

To find the number of lollipops that are of other flavors, we need to subtract the number of apple-flavored lollipops from the total number of lollipops.

Other flavored lollipops = Total lollipops - Apple-flavored lollipops
Other flavored lollipops = 107 - 34
Other flavored lollipops = <<107-34=73>>73

Therefore, there are 73 lollipops that are of other flavors.

### Answer: 73

Expected answer: 73

Correct? Yes

๐Ÿ”— Problem

Problem: In a summer camp, there is a huge tent which takes up a total space of 352 square meters. If the space inside the tent is 36 square meters lesser than the total space, what is the actual inner space of the tent?

Claude-3 Opus:

To find the actual inner space of the tent, we need to subtract the difference between the total space and the inner space from the total space.

Given:
- The total space of the tent is 352 square meters.
- The inner space is 36 square meters lesser than the total space.

Step 1: Subtract the difference from the total space to find the inner space.
Inner space = Total space - Difference
Inner space = 352 - 36 = 316 square meters

Therefore, the actual inner space of the tent is 316 square meters.

### Answer: 316 square meters.

Expected answer: 316

Correct? Yes

๐Ÿ”— Problem

Problem: In a drumming competition, the total score a participant can earn is 95 points. If a drummer received a score of 27 points less than the total possible score, what was their score?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The total possible score in the drumming competition is 95 points.
* The drummer received a score that was 27 points less than the total possible score.

To find the drummer's score, we need to subtract the points they lost from the total possible score.

Drummer's score = Total possible score - Points lost
Drummer's score = 95 - 27
Drummer's score = 95-27 = <<95-27=68>>68

Therefore, the drummer's score in the competition was 68 points.

### Answer: 68

Expected answer: 68

Correct? Yes

๐Ÿ”— Problem

Problem: In a magical world, a wizard cast a spell which resulted in 211 magical sparks. If he started with 29 sparks, how many sparks did his spell create?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The wizard started with 29 sparks.
* After casting the spell, there were 211 sparks in total.

To find out how many sparks the spell created, we need to subtract the initial number of sparks from the total number of sparks after the spell was cast.

Sparks created by the spell = Total sparks after the spell - Initial sparks
Sparks created by the spell = 211 - 29
Sparks created by the spell = <<211-29=182>>182

Therefore, the wizard's spell created 182 sparks.

### Answer: 182

Expected answer: 182

Correct? Yes

๐Ÿ”— Problem

Problem: A police station has 327 police officers in total. If 231 officers are in the detective department, how many officers make up the rest of the police station's personnel?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The police station has a total of 327 police officers.
   * 231 officers are in the detective department.

2. To find the number of officers in the rest of the police station's personnel, we need to subtract the number of officers in the detective department from the total number of officers.

3. Calculation:
   * Number of officers in the rest of the personnel = Total officers - Officers in the detective department
   * Number of officers in the rest of the personnel = 327 - 231
   * Number of officers in the rest of the personnel = 96

Therefore, 96 officers make up the rest of the police station's personnel.

### Answer: 96

Expected answer: 96

Correct? Yes

๐Ÿ”— Problem

Problem: There are 5536 bars in total to construct a large jungle gym. If each section of the jungle gym requires 16 bars, how many sections can be constructed?

Claude-3 Opus:

To solve this problem, we need to divide the total number of bars by the number of bars required for each section.

Given:
- There are 5536 bars in total.
- Each section of the jungle gym requires 16 bars.

To find the number of sections that can be constructed, we divide the total number of bars by the number of bars per section:

5536 รท 16 = 346

Therefore, 346 sections can be constructed using the available bars.

### Answer: 346

Expected answer: 346

Correct? Yes

๐Ÿ”— Problem

Problem: A mermaid finds 9282 beautiful seashells during her 91-day vacation. How many seashells does she find each day?

Claude-3 Opus:

To find the number of seashells the mermaid finds each day, we need to divide the total number of seashells by the number of days in her vacation.

Given:
- The mermaid finds 9282 seashells in total.
- Her vacation lasts 91 days.

Calculation:
Number of seashells per day = Total number of seashells รท Number of days
Number of seashells per day = 9282 รท 91 = 102

Therefore, the mermaid finds 102 seashells each day during her vacation.

### Answer: 102

Expected answer: 102

Correct? Yes

๐Ÿ”— Problem

Problem: John had 726 contacts in his phone. If he previously had 345, how many new contacts did he add?

Claude-3 Opus:

To find out how many new contacts John added, we need to subtract the number of contacts he previously had from the current number of contacts in his phone.

Given:
- John currently has 726 contacts in his phone.
- He previously had 345 contacts.

To calculate the number of new contacts added:
New contacts = Current contacts - Previous contacts
New contacts = 726 - 345 = 381

Therefore, John added 381 new contacts to his phone.

### Answer: 381

Expected answer: 381

Correct? Yes

๐Ÿ”— Problem

Problem: A river's length is 540 kilometers. If the upper part of the river is 191 kilometers, what is the length of the lower part of the river?

Claude-3 Opus:

To find the length of the lower part of the river, we need to subtract the length of the upper part from the total length of the river.

Given:
- The total length of the river is 540 kilometers.
- The length of the upper part of the river is 191 kilometers.

Step 1: Subtract the length of the upper part from the total length of the river.
Length of the lower part = Total length - Length of the upper part
Length of the lower part = 540 km - 191 km = 349 km

Therefore, the length of the lower part of the river is 349 kilometers.

### Answer: 349 kilometers.

Expected answer: 349

Correct? Yes

๐Ÿ”— Problem

Problem: If a farmer stored some apples and the total count became 348 after adding another 219 apples, how many apples did the farmer initially have?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The farmer initially had an unknown number of apples.
   * The farmer added 219 apples to the initial count.
   * After adding the apples, the total count became 348.

2. Let's represent the initial number of apples as a variable, say 'x'.

3. We can write an equation based on the given information:
   * Initial apples (x) + Added apples (219) = Total apples (348)
   * x + 219 = 348

4. To find the initial number of apples, we need to solve the equation for 'x'.
   * Subtract 219 from both sides of the equation:
     x + 219 - 219 = 348 - 219
     x = 348 - 219
     x = 129

Therefore, the farmer initially had 129 apples.

### Answer: 129

Expected answer: 129

Correct? Yes

๐Ÿ”— Problem

Problem: An artist uses 258 bottles of paint in a month. If she has used 7 bottles already, how many more does she need to meet her monthly goal?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The artist uses 258 bottles of paint in a month.
* She has already used 7 bottles.
* We need to find out how many more bottles she needs to meet her monthly goal.

Now, let's calculate the remaining number of bottles:
* Remaining bottles = Monthly goal - Bottles already used
* Remaining bottles = 258 - 7
* Remaining bottles = 251

Therefore, the artist needs 251 more bottles of paint to meet her monthly goal.

### Answer: 251

Expected answer: 251

Correct? Yes

๐Ÿ”— Problem

Problem: A helicopter started flying at an elevation of 124 feet. It continued to ascend until it reached an altitude of 334 feet. How many feet did the helicopter ascend after the initial 124 feet?

Claude-3 Opus:

To find out how many feet the helicopter ascended after the initial 124 feet, we need to subtract the initial elevation from the final altitude.

Given:
- The helicopter started at an elevation of 124 feet.
- It reached a final altitude of 334 feet.

To calculate the additional ascent:
Additional ascent = Final altitude - Initial elevation
Additional ascent = 334 feet - 124 feet = <<334-124=210>>210 feet

Therefore, the helicopter ascended an additional 210 feet after the initial 124 feet.

### Answer: 210 feet.

Expected answer: 210

Correct? Yes

๐Ÿ”— Problem

Problem: A sailor is 22 miles into his journey and ends up 161 miles away from his starting point. How much farther did he travel from the point he was at 22 miles?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The sailor is already 22 miles into his journey.
   * At the end of his journey, he is 161 miles away from his starting point.

2. To find how much farther he traveled from the 22-mile point, we need to subtract the distance he had already traveled from the total distance he ended up traveling.

3. Calculate the additional distance traveled:
   * Additional distance = Total distance - Distance already traveled
   * Additional distance = 161 miles - 22 miles
   * Additional distance = 139 miles

Therefore, the sailor traveled an additional 139 miles from the point he was at 22 miles.

### Answer: 139 miles

Expected answer: 139

Correct? Yes

๐Ÿ”— Problem

Problem: An ice cream shop made a total of 482 ice cream scoops. If 357 of those scoops are vanilla, how many scoops of other flavors did the shop make?

Claude-3 Opus:

To solve this problem, let's organize the given information and find the solution step by step:

* The ice cream shop made a total of 482 ice cream scoops.
* Out of the total scoops, 357 are vanilla flavored.
* We need to find the number of scoops of other flavors.

To find the number of scoops of other flavors, we need to subtract the number of vanilla scoops from the total number of scoops:

* Scoops of other flavors = Total scoops - Vanilla scoops
* Scoops of other flavors = 482 - 357
* Scoops of other flavors = <<482-357=125>>125

Therefore, the ice cream shop made 125 scoops of other flavors.

### Answer: 125

Expected answer: 125

Correct? Yes

๐Ÿ”— Problem

Problem: During a circus performance, a juggler tossed 113 juggling balls into the air. If she started with 105 balls, how many additional balls did she add to the routine?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The juggler started with 105 balls.
   * During the performance, she tossed 113 balls in total.

2. To find the number of additional balls added to the routine, we need to subtract the initial number of balls from the total number of balls tossed:
   * Additional balls = Total balls tossed - Initial balls
   * Additional balls = 113 - 105
   * Additional balls = 8

Therefore, the juggler added 8 additional balls to the routine.

### Answer: 8

Expected answer: 8

Correct? Yes

๐Ÿ”— Problem

Problem: A jeweler has a total of 267 gemstones. If 80 of these gemstones have already been attached to rings, how many gemstones has the jeweler not yet attached to any rings?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The jeweler has a total of 267 gemstones.
   * 80 of these gemstones have already been attached to rings.

2. To find the number of gemstones not yet attached to any rings, we need to subtract the number of gemstones attached to rings from the total number of gemstones.

3. Calculation:
   * Gemstones not attached = Total gemstones - Gemstones attached to rings
   * Gemstones not attached = 267 - 80
   * Gemstones not attached = <<267-80=187>>187

Therefore, the jeweler has 187 gemstones that have not yet been attached to any rings.

### Answer: 187

Expected answer: 187

Correct? Yes

๐Ÿ”— Problem

Problem: A car can drive a total of 743 miles on its full tank. If the first half of the tank will get it 357 miles, how many miles will the second half of the tank get it?

Claude-3 Opus:

Let's solve this step by step:

1. We know that the car can drive a total of 743 miles on a full tank.
2. The first half of the tank gets the car 357 miles.
3. To find how many miles the second half of the tank will get, we need to subtract the miles driven on the first half from the total miles the car can drive on a full tank.

Miles driven on the second half = Total miles on a full tank - Miles driven on the first half
Miles driven on the second half = 743 - 357
Miles driven on the second half = <<743-357=386>>386 miles

Therefore, the second half of the tank will get the car 386 miles.

### Answer: 386 miles.

Expected answer: 386

Correct? Yes

๐Ÿ”— Problem

Problem: In a circus, a juggling act has a total of 447 pieces to juggle. If 273 pieces are already in use, how many extra pieces do they have left?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The juggling act has a total of 447 pieces to juggle.
* 273 pieces are already in use.

To find out how many extra pieces they have left, we need to subtract the number of pieces in use from the total number of pieces.

Extra pieces = Total pieces - Pieces in use
Extra pieces = 447 - 273 = <<447-273=174>>174

Therefore, the juggling act has 174 extra pieces left.

### Answer: 174

Expected answer: 174

Correct? Yes

๐Ÿ”— Problem

Problem: At an eyewear shop, there are 396 eyeglasses. If all the eyeglasses are manufactured in pairs, how many pairs of eyeglasses does the shop have?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The eyewear shop has 396 eyeglasses in total.
* All the eyeglasses are manufactured in pairs.

To find the number of pairs, we need to divide the total number of eyeglasses by 2, since each pair consists of 2 eyeglasses.

Number of pairs = Total number of eyeglasses รท 2
Number of pairs = 396 รท 2 = <<396/2=198>>198

Therefore, the eyewear shop has 198 pairs of eyeglasses.

### Answer: 198

Expected answer: 198

Correct? Yes

๐Ÿ”— Problem

Problem: You're attempting to measure the wind speed in knots. Today, your device indicates a speed of 366 knots. Knowing that the device happens to add 314 knots to the actual speed due to a calibration error, can you calculate the actual wind speed today?

Claude-3 Opus:

To find the actual wind speed, we need to subtract the calibration error from the indicated speed.

Given:
- The device indicates a speed of 366 knots.
- The device adds 314 knots to the actual speed due to a calibration error.

Actual wind speed = Indicated speed - Calibration error
Actual wind speed = 366 knots - 314 knots
Actual wind speed = 366 - 314 = 52 knots

### Answer: 52 knots.

Expected answer: 52

Correct? Yes

๐Ÿ”— Problem

Problem: A door manufacturer has a target to make 139 doors today. If they have already made 126 doors, how many more do they need to make to reach their target?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The door manufacturer's target for today is 139 doors.
* They have already made 126 doors.

To find out how many more doors they need to make, we should subtract the number of doors already made from the target number of doors.

Doors needed = Target number of doors - Doors already made
Doors needed = 139 - 126
Doors needed = <<139-126=13>>13

Therefore, the door manufacturer needs to make 13 more doors to reach their target for today.

### Answer: 13

Expected answer: 13

Correct? Yes

๐Ÿ”— Problem

Problem: If you have 200 pictures and your friend gives you 8 more, how many pictures did you start with?

Claude-3 Opus:

Let's think through this step-by-step:

1) The question tells us that you have 200 pictures now, after your friend gave you some more.

2) Your friend gave you 8 pictures.

3) To find out how many pictures you started with, we need to subtract the number of pictures your friend gave you from the total number of pictures you have now.

4) In mathematical terms, this can be written as: 
   - Initial number of pictures + 8 = 200
   - To find the initial number of pictures, we subtract 8 from both sides of the equation:
   - Initial number of pictures = 200 - 8 = 192

Therefore, you started with 192 pictures before your friend gave you 8 more.

### Answer: 192

Expected answer: 192

Correct? Yes

๐Ÿ”— Problem

Problem: The police department has a total of 195 officers. If 95 of those officers are on vacation, how many are on active duty?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The police department has a total of 195 officers.
   * 95 of those officers are on vacation.

2. To find the number of officers on active duty, we need to subtract the number of officers on vacation from the total number of officers:
   * Officers on active duty = Total officers - Officers on vacation
   * Officers on active duty = 195 - 95
   * Officers on active duty = 100

Therefore, there are 100 officers on active duty.

### Answer: 100

Expected answer: 100

Correct? Yes

๐Ÿ”— Problem

Problem: In a Word document, there are a total of 578 words in it. If you know that you already wrote 206 words, how many more words will you have to write?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The Word document has a total of 578 words.
* You have already written 206 words.

To find out how many more words you need to write, subtract the number of words you have already written from the total number of words in the document.

Words left to write = Total words - Words already written
Words left to write = 578 - 206
Words left to write = 372

Therefore, you will have to write 372 more words to complete the Word document.

### Answer: 372

Expected answer: 372

Correct? Yes

๐Ÿ”— Problem

Problem: A helicopter is carrying supplies for a total weight of 498 pounds. If the gear, excluding the weight of the supplies, weighs 251 pounds, how many pounds of supplies is the helicopter carrying?

Claude-3 Opus:

To find the weight of the supplies the helicopter is carrying, we need to subtract the weight of the gear from the total weight.

Given:
- The total weight of the supplies and gear is 498 pounds.
- The weight of the gear, excluding the supplies, is 251 pounds.

To calculate the weight of the supplies, we subtract the gear weight from the total weight:

Weight of supplies = Total weight - Weight of gear
Weight of supplies = 498 pounds - 251 pounds
Weight of supplies = 247 pounds

Therefore, the helicopter is carrying 247 pounds of supplies.

### Answer: 247 pounds.

Expected answer: 247

Correct? Yes

๐Ÿ”— Problem

Problem: In a school, there are 632 books in total. If the English teacher has 271 of those books, how many books do the other teachers have?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The school has a total of 632 books.
   * The English teacher has 271 of those books.

2. To find the number of books the other teachers have, we need to subtract the number of books the English teacher has from the total number of books:
   * Books with other teachers = Total books - Books with the English teacher
   * Books with other teachers = 632 - 271
   * Books with other teachers = 361

Therefore, the other teachers have 361 books.

### Answer: 361

Expected answer: 361

Correct? Yes

๐Ÿ”— Problem

Problem: In a bubble-making competition, a contestant created 161 bubbles. If he already had 142 bubbles and then blew more, how many additional bubbles did he blow?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The contestant created a total of 161 bubbles.
   * He already had 142 bubbles before blowing more.

2. To find the number of additional bubbles blown, we need to subtract the number of bubbles he already had from the total number of bubbles created:
   * Additional bubbles = Total bubbles - Bubbles already had
   * Additional bubbles = 161 - 142
   * Additional bubbles = 19

Therefore, the contestant blew 19 additional bubbles.

### Answer: 19

Expected answer: 19

Correct? Yes

๐Ÿ”— Problem

Problem: In a chicken farm, there are 254 chickens. If there were originally 41 chickens and the rest were newly hatched, how many chickens were newly hatched?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* There are currently 254 chickens in the farm.
* Originally, there were 41 chickens.
* The rest of the chickens were newly hatched.

To find the number of newly hatched chickens, we need to subtract the original number of chickens from the current total number of chickens.

Newly hatched chickens = Current total chickens - Original chickens
Newly hatched chickens = 254 - 41
Newly hatched chickens = 213

Therefore, 213 chickens were newly hatched.

### Answer: 213

Expected answer: 213

Correct? Yes

๐Ÿ”— Problem

Problem: In the magical land of unicorns, there are 619 unicorns in total. If 227 of those unicorns are baby unicorns, how many unicorns are grown adults?

Claude-3 Opus:

To find the number of adult unicorns, we need to subtract the number of baby unicorns from the total number of unicorns.

Given:
- There are 619 unicorns in total.
- 227 of those unicorns are baby unicorns.

To calculate the number of adult unicorns, we do:
Total unicorns - Baby unicorns = Adult unicorns
619 - 227 = <<619-227=392>>392

Therefore, there are 392 adult unicorns in the magical land of unicorns.

### Answer: 392

Expected answer: 392

Correct? Yes

๐Ÿ”— Problem

Problem: If the total amount of money in your bank account is $425, and $298 of it is still available after paying bills, how much did you spend on bills?

Claude-3 Opus:

To find out how much you spent on bills, we need to subtract the available amount after paying bills from the total amount in your bank account.

Given:
- The total amount in your bank account is $425.
- After paying bills, $298 is still available.

Step 1: Subtract the available amount from the total amount.
Amount spent on bills = Total amount - Available amount
Amount spent on bills = $425 - $298
Amount spent on bills = $127

Therefore, you spent $127 on bills.

### Answer: $127

Expected answer: 127

Correct? Yes

๐Ÿ”— Problem

Problem: After sharpening a number of pencils, a total of 127 bits of eraser were cut off. If 29 of them came from blue pencils, how many came from red pencils?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * A total of 127 bits of eraser were cut off from pencils.
   * 29 of the eraser bits came from blue pencils.

2. To find the number of eraser bits that came from red pencils, we need to subtract the number of blue pencil eraser bits from the total number of eraser bits:
   * Number of red pencil eraser bits = Total eraser bits - Blue pencil eraser bits
   * Number of red pencil eraser bits = 127 - 29
   * Number of red pencil eraser bits = 98

Therefore, 98 eraser bits came from red pencils.

### Answer: 98

Expected answer: 98

Correct? Yes

๐Ÿ”— Problem

Problem: Angela's watch is fast by 262 minutes. If it is showing a time that's 399 minutes later than it actually is, then how many minutes ahead was it initially set?

Claude-3 Opus:

Let's approach this step by step:

1. Understand the given information:
   * Angela's watch is currently 399 minutes ahead of the actual time.
   * The watch is fast by 262 minutes.

2. Calculate the number of minutes the watch was initially set ahead:
   * Initial minutes ahead = Current minutes ahead - Minutes fast
   * Initial minutes ahead = 399 - 262
   * Initial minutes ahead = 137

Therefore, Angela's watch was initially set 137 minutes ahead.

### Answer: 137

Expected answer: 137

Correct? Yes

๐Ÿ”— Problem

Problem: In a fireplace factory, a special type of fireplace is produced. If 1891 fireplaces were produced in a certain period of time and each day during that period produced 61 fireplaces, how many days did this period last?

Claude-3 Opus:

To find the number of days in the period, we need to divide the total number of fireplaces produced by the number of fireplaces produced each day.

Given:
- 1891 fireplaces were produced in the period
- 61 fireplaces were produced each day

To calculate the number of days, we divide 1891 by 61:

1891 รท 61 = 31

Therefore, the period lasted 31 days.

### Answer: 31

Expected answer: 31

Correct? Yes

๐Ÿ”— Problem

Problem: A star in the outer space is emitting 497 units of light in total. If 266 units are perceived by our naked eye, how many units of light are only detected by special instruments?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The star emits a total of 497 units of light.
* 266 units of light are perceived by the naked eye.
* We need to find the number of units of light that are only detected by special instruments.

Now, let's find the solution:
1. The units of light only detected by special instruments = Total units of light - Units of light perceived by the naked eye
2. Units of light only detected by special instruments = 497 - 266 = <<497-266=231>>231

Therefore, 231 units of light are only detected by special instruments.

### Answer: 231

Expected answer: 231

Correct? Yes

๐Ÿ”— Problem

Problem: In a chocolate factory, a mixer made 508 kg chocolate mixture for the day. If the chocolate without the added flavorings weighted 142 kg, how much kg of flavorings did the mixer add to the chocolate?

Claude-3 Opus:

Let's organize the information we have:
* The mixer made a total of 508 kg of chocolate mixture for the day.
* The chocolate without the added flavorings weighed 142 kg.

To find out how much flavorings the mixer added to the chocolate, we need to subtract the weight of the chocolate without flavorings from the total weight of the chocolate mixture.

Weight of flavorings = Total weight of chocolate mixture - Weight of chocolate without flavorings
Weight of flavorings = 508 kg - 142 kg = <<508-142=366>>366 kg

Therefore, the mixer added 366 kg of flavorings to the chocolate.

### Answer: 366 kg

Expected answer: 366

Correct? Yes

๐Ÿ”— Problem

Problem: A butterfly has 327 spots on its wings. If we subtract 4 from the number of spots, we will get another kind of butterfly. How many spots does this new type of butterfly have?

Claude-3 Opus:

To find the number of spots on the new type of butterfly, we need to subtract 4 from the number of spots on the original butterfly.

Given:
- The original butterfly has 327 spots on its wings.
- The new type of butterfly has 4 fewer spots than the original butterfly.

To calculate the number of spots on the new type of butterfly, we subtract 4 from 327.

327 - 4 = 323

Therefore, the new type of butterfly has 323 spots on its wings.

### Answer: 323

Expected answer: 323

Correct? Yes

๐Ÿ”— Problem

Problem: The price of a luxury wristwatch is $402. If the manufacturing cost of the watch is $261, how much is the profit gained from selling the watch?

Claude-3 Opus:

To find the profit gained from selling the watch, we need to subtract the manufacturing cost from the selling price.

Given:
- The selling price of the luxury wristwatch is $402.
- The manufacturing cost of the watch is $261.

Profit = Selling price - Manufacturing cost
Profit = $402 - $261 = $141

Therefore, the profit gained from selling the watch is $141.

### Answer: $141

Expected answer: 141

Correct? Yes

๐Ÿ”— Problem

Problem: A house needs 4082 bricks for its front wall. If each row utilizes 157 bricks, how many rows of bricks were used to complete the wall?

Claude-3 Opus:

To solve this problem, let's use the following steps:

1. Understand the given information:
   * The front wall of the house needs 4082 bricks.
   * Each row of bricks uses 157 bricks.

2. To find the number of rows, we need to divide the total number of bricks by the number of bricks in each row:
   * Number of rows = Total number of bricks รท Bricks per row
   * Number of rows = 4082 รท 157

3. Perform the division:
   * 4082 รท 157 = 26

Therefore, 26 rows of bricks were used to complete the front wall of the house.

### Answer: 26

Expected answer: 26

Correct? Yes

๐Ÿ”— Problem

Problem: A teacher has 344 books. If she already had 67 books and was given some more as a gift, how many books did she receive as a gift?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The teacher has a total of 344 books now.
   * She already had 67 books before receiving the gift.

2. To find the number of books she received as a gift, we need to subtract the number of books she already had from the total number of books she has now.

3. Calculate the number of books received as a gift:
   * Books received as a gift = Total books - Books already had
   * Books received as a gift = 344 - 67
   * Books received as a gift = <<344-67=277>>277

Therefore, the teacher received 277 books as a gift.

### Answer: 277

Expected answer: 277

Correct? Yes

๐Ÿ”— Problem

Problem: In a police department, 524 police officers are currently on the force. If 376 of them are on duty, how many officers are off duty?

Claude-3 Opus:

To find the number of officers off duty, we need to subtract the number of officers on duty from the total number of officers.

Given:
- There are 524 police officers currently on the force.
- 376 of them are on duty.

To calculate the number of officers off duty, we do:
Total officers - Officers on duty = Officers off duty
524 - 376 = 148

Therefore, 148 officers are off duty.

### Answer: 148

Expected answer: 148

Correct? Yes

๐Ÿ”— Problem

Problem: A farmer counted that he has 1190 tomatoes overall. If each of his tomato plants produced exactly 35 tomatoes, how many tomato plants does the farmer have?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The farmer has a total of 1190 tomatoes.
   * Each tomato plant produced exactly 35 tomatoes.

2. To find the number of tomato plants, we need to divide the total number of tomatoes by the number of tomatoes each plant produced:
   * Number of tomato plants = Total number of tomatoes รท Tomatoes per plant
   * Number of tomato plants = 1190 รท 35

3. Perform the division:
   * 1190 รท 35 = 34

Therefore, the farmer has 34 tomato plants.

### Answer: 34

Expected answer: 34

Correct? Yes

๐Ÿ”— Problem

Problem: In a furniture showroom, there are a total of 297 chairs. If 280 of these chairs are wooden, how many chairs are not made of wood?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * There are a total of 297 chairs in the furniture showroom.
   * 280 of these chairs are wooden.

2. To find the number of chairs that are not made of wood, we need to subtract the number of wooden chairs from the total number of chairs:
   * Non-wooden chairs = Total chairs - Wooden chairs
   * Non-wooden chairs = 297 - 280
   * Non-wooden chairs = 17

Therefore, 17 chairs in the furniture showroom are not made of wood.

### Answer: 17

Expected answer: 17

Correct? Yes

๐Ÿ”— Problem

Problem: A cat catches 32 mice every day. If the cat catches a total of 1504 mice, how many days did it take the cat to catch all the mice?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The cat catches 32 mice every day.
   * The cat has caught a total of 1504 mice.
   * We need to find the number of days it took the cat to catch all the mice.

2. Set up an equation:
   * Let's say the number of days is x.
   * The cat catches 32 mice per day, so in x days, it would catch 32 ร— x mice.
   * We know the total number of mice caught is 1504.
   * So, we can write the equation: 32 ร— x = 1504

3. Solve the equation:
   * To solve for x, divide both sides of the equation by 32.
   * 32 ร— x = 1504
   * x = 1504 รท 32
   * x = 47

Therefore, it took the cat 47 days to catch all 1504 mice.

### Answer: 47

Expected answer: 47

Correct? Yes

๐Ÿ”— Problem

Problem: A bubble blower machine blows 440 bubbles in one minute. If it blows 325 bubbles in the first half minute, how many bubbles does it blow in the second half minute?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The bubble blower machine blows 440 bubbles in one minute.
   * It blows 325 bubbles in the first half minute.

2. Calculate the number of bubbles blown in the second half minute:
   * Total bubbles in one minute = Bubbles in first half + Bubbles in second half
   * 440 = 325 + Bubbles in second half
   * Bubbles in second half = 440 - 325
   * Bubbles in second half = 115

Therefore, the bubble blower machine blows 115 bubbles in the second half minute.

### Answer: 115

Expected answer: 115

Correct? Yes

๐Ÿ”— Problem

Problem: A truck has a total weight capacity of 430 kg. If 261 kg is already being used up, how much more weight can it carry?

Claude-3 Opus:

To find out how much more weight the truck can carry, we need to subtract the weight already being used from the total weight capacity.

Given:
- The truck has a total weight capacity of 430 kg.
- 261 kg is already being used up.

Step 1: Subtract the used weight from the total weight capacity.
Remaining weight capacity = Total weight capacity - Used weight
Remaining weight capacity = 430 kg - 261 kg = 169 kg

Therefore, the truck can carry 169 kg more weight.

### Answer: 169 kg

Expected answer: 169

Correct? Yes

๐Ÿ”— Problem

Problem: If a cheesemaker has 554 kilograms of cheese and it includes 156 kilograms of cheddar cheese, how many kilograms of the remaining cheese is not cheddar cheese?

Claude-3 Opus:

To find out how many kilograms of the remaining cheese is not cheddar cheese, we need to subtract the amount of cheddar cheese from the total amount of cheese.

Given:
- The cheesemaker has a total of 554 kilograms of cheese.
- The total includes 156 kilograms of cheddar cheese.

Step 1: Subtract the amount of cheddar cheese from the total amount of cheese.
Non-cheddar cheese = Total cheese - Cheddar cheese
Non-cheddar cheese = 554 - 156 = 398

Therefore, the cheesemaker has 398 kilograms of cheese that is not cheddar cheese.

### Answer: 398 kilograms

Expected answer: 398

Correct? Yes

๐Ÿ”— Problem

Problem: A dairy farm has 433 cows in total. If 71 of them are still calves, how many of them are fully grown adult cows?

Claude-3 Opus:

To find the number of fully grown adult cows, we need to subtract the number of calves from the total number of cows.

Given:
- The dairy farm has 433 cows in total.
- 71 of the cows are still calves.

Step 1: Subtract the number of calves from the total number of cows.
Adult cows = Total cows - Calves
Adult cows = 433 - 71 = 362

Therefore, the dairy farm has 362 fully grown adult cows.

### Answer: 362

Expected answer: 362

Correct? Yes

๐Ÿ”— Problem

Problem: In a wind-turbine farm, there's a turbine which is able to generate 8640 kWh of electricity everyday when wind speed is steady at 45 kph. How many kWh does each kph of wind speed generate?

Claude-3 Opus:

To solve this problem, let's break it down into steps:

1. We know that the wind turbine generates 8640 kWh of electricity when the wind speed is steady at 45 kph.
2. We need to find out how many kWh of electricity each kph of wind speed generates.

Let's set up an equation:
* Let x be the number of kWh generated per kph of wind speed.
* Then, 45 kph ร— x kWh/kph = 8640 kWh

Now, let's solve for x:
* 45x = 8640
* x = 8640 รท 45
* x = 192

Therefore, each kph of wind speed generates 192 kWh of electricity.

### Answer: 192 kWh/kph

Expected answer: 192

Correct? Yes

๐Ÿ”— Problem

Problem: A crayon factory is running a special production line that produces 5040 crayons in one day by operating for 't' hours. If the factory machine can produce 45 crayons every hour, for how many hours was the machine operating?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The special production line produces 5040 crayons in one day.
* The factory machine can produce 45 crayons every hour.
* The machine operates for 't' hours.

Now, let's set up an equation to find the value of 't':
* Number of crayons produced = Production rate ร— Time
* 5040 = 45 ร— t

To find the value of 't', divide both sides of the equation by 45:
* 5040 รท 45 = t
* <<5040/45=112>>112 = t

Therefore, the machine was operating for 112 hours to produce 5040 crayons.

### Answer: 112

Expected answer: 112

Correct? Yes

๐Ÿ”— Problem

Problem: In a hat store, there are 298 hats in total. If 201 of those hats are baseball hats, how many are not baseball hats?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * There are 298 hats in total in the store.
   * 201 of those hats are baseball hats.

2. To find the number of hats that are not baseball hats, we need to subtract the number of baseball hats from the total number of hats:
   * Number of non-baseball hats = Total hats - Baseball hats
   * Number of non-baseball hats = 298 - 201
   * Number of non-baseball hats = <<298-201=97>>97

Therefore, 97 hats in the store are not baseball hats.

### Answer: 97

Expected answer: 97

Correct? Yes

๐Ÿ”— Problem

Problem: A particular type of cucumber plant produces 242 cucumbers. If each plant has 22 fruits, how many plants are there?

Claude-3 Opus:

To find the number of plants, we need to divide the total number of cucumbers by the number of fruits each plant produces.

Given:
- The total number of cucumbers produced is 242.
- Each plant has 22 fruits.

To calculate the number of plants, we divide the total number of cucumbers by the number of fruits per plant:

Number of plants = Total number of cucumbers รท Number of fruits per plant
Number of plants = 242 รท 22
Number of plants = 11

Therefore, there are 11 cucumber plants.

### Answer: 11

Expected answer: 11

Correct? Yes

๐Ÿ”— Problem

Problem: A city received 750 millimeters of rainfall during the monsoon season. If, in the first half of the season, there were 359 millimeters of rainfall, how much rainfall did the city receive in the second half of the season?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The city received a total of 750 millimeters of rainfall during the monsoon season.
   * In the first half of the season, there were 359 millimeters of rainfall.

2. To find the rainfall in the second half of the season, we need to subtract the rainfall in the first half from the total rainfall:
   * Rainfall in the second half = Total rainfall - Rainfall in the first half
   * Rainfall in the second half = 750 millimeters - 359 millimeters
   * Rainfall in the second half = <<750-359=391>>391 millimeters

Therefore, the city received 391 millimeters of rainfall in the second half of the monsoon season.

### Answer: 391 millimeters

Expected answer: 391

Correct? Yes

๐Ÿ”— Problem

Problem: The weight of a fully inflated balloon is 573 grams. If the weight of the balloon itself is 254 grams, what is the weight of the air inside the balloon?

Claude-3 Opus:

To find the weight of the air inside the balloon, we need to subtract the weight of the balloon itself from the total weight of the fully inflated balloon.

Given:
- The weight of a fully inflated balloon is 573 grams.
- The weight of the balloon itself is 254 grams.

Step 1: Subtract the weight of the balloon from the weight of the fully inflated balloon.
Weight of air inside the balloon = Weight of fully inflated balloon - Weight of the balloon
Weight of air inside the balloon = 573 grams - 254 grams = <<573-254=319>>319 grams

Therefore, the weight of the air inside the balloon is 319 grams.

### Answer: 319 grams

Expected answer: 319

Correct? Yes

๐Ÿ”— Problem

Problem: A balloon seller just inflated a new batch of balloons, bringing the total number of balloons to 434. If the seller had 179 balloons already, how many new balloons did they inflate?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The balloon seller had 179 balloons already.
* After inflating a new batch of balloons, the total number of balloons became 434.

To find out how many new balloons the seller inflated, we need to subtract the number of balloons they already had from the total number of balloons after inflating the new batch.

New balloons inflated = Total balloons after inflating - Balloons already had
New balloons inflated = 434 - 179
New balloons inflated = <<434-179=255>>255

Therefore, the balloon seller inflated 255 new balloons.

### Answer: 255

Expected answer: 255

Correct? Yes

๐Ÿ”— Problem

Problem: A bus operator counted 631 passengers in total today. If 362 passengers boarded the bus in the morning, how many passengers boarded the bus in the afternoon?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The bus operator counted a total of 631 passengers today.
* 362 passengers boarded the bus in the morning.

We need to find the number of passengers who boarded the bus in the afternoon.

Reasoning:
* The total number of passengers is the sum of the morning and afternoon passengers.
* If we subtract the number of morning passengers from the total, we will get the number of afternoon passengers.

Calculation:
* Afternoon passengers = Total passengers - Morning passengers
* Afternoon passengers = 631 - 362 = 269

Therefore, 269 passengers boarded the bus in the afternoon.

### Answer: 269

Expected answer: 269

Correct? Yes

๐Ÿ”— Problem

Problem: If you added 8 liters of blue paint to some amount of yellow paint to make 280 liters of green paint, how many liters of yellow paint did you use?

Claude-3 Opus:

Let's solve this step by step:

1. We know that blue paint and yellow paint were mixed to make green paint.
2. The total amount of green paint made is 280 liters.
3. The amount of blue paint used is 8 liters.
4. To find the amount of yellow paint used, we need to subtract the amount of blue paint from the total amount of green paint.

So, the amount of yellow paint used is:
* Yellow paint = Total green paint - Blue paint
* Yellow paint = 280 liters - 8 liters
* Yellow paint = 280 - 8 = <<280-8=272>>272 liters

Therefore, 272 liters of yellow paint were used to make the green paint.

### Answer: 272 liters

Expected answer: 272

Correct? Yes

๐Ÿ”— Problem

Problem: Through a telescope, an astronomer spots 419 celestial bodies in the sky. If 132 of those bodies are discovered to be stars, how many bodies are not stars?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The astronomer spotted a total of 419 celestial bodies.
   * Out of these, 132 are discovered to be stars.

2. To find the number of bodies that are not stars, we need to subtract the number of stars from the total number of celestial bodies.

3. Calculation:
   * Number of bodies that are not stars = Total celestial bodies - Number of stars
   * Number of bodies that are not stars = 419 - 132
   * Number of bodies that are not stars = 287

Therefore, 287 celestial bodies spotted by the astronomer are not stars.

### Answer: 287

Expected answer: 287

Correct? Yes

๐Ÿ”— Problem

Problem: In a wild, one lion is eating 147 pounds of food each week. If the total amount of food eaten in four weeks is 588 pounds, how many weeks is accounted for?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * One lion eats 147 pounds of food each week.
   * The total amount of food eaten is 588 pounds.

2. Calculate the number of weeks accounted for:
   * Number of weeks = Total food eaten รท Food eaten per week
   * Number of weeks = 588 รท 147
   * Number of weeks = 4

Therefore, the total amount of food eaten (588 pounds) accounts for 4 weeks of the lion's eating habits.

### Answer: 4 weeks.

Expected answer: 4

Correct? Yes

๐Ÿ”— Problem

Problem: John earns money by babysitting. He babysitted for 30 hours and earned a total of 4440 dollars. How much does he earn per hour?

Claude-3 Opus:

To find out how much John earns per hour, we need to divide the total amount he earned by the number of hours he worked.

Given:
- John babysitted for 30 hours.
- He earned a total of $4440.

To calculate his hourly rate, we use the following formula:
Hourly rate = Total earnings รท Number of hours worked

Plugging in the values:
Hourly rate = $4440 รท 30 hours
Hourly rate = $148 per hour

Therefore, John earns $148 per hour for babysitting.

### Answer: $148 per hour.

Expected answer: 148

Correct? Yes

๐Ÿ”— Problem

Problem: If a cow produces 3360 pounds of milk over a period of time and the average amount of milk the cow produces per day is 120 pounds, how many days was the milk collected for?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The cow produced a total of 3360 pounds of milk.
   * The cow produces an average of 120 pounds of milk per day.

2. To find the number of days the milk was collected for, we need to divide the total amount of milk by the average daily production:
   * Number of days = Total amount of milk รท Average daily production
   * Number of days = 3360 รท 120

3. Perform the division:
   * 3360 รท 120 = 28

Therefore, the milk was collected for 28 days.

### Answer: 28

Expected answer: 28

Correct? Yes

๐Ÿ”— Problem

Problem: A tiger sanctuary has a total of 380 tigers. If 81 of them are Siberian tigers, how many are non-Siberian tigers?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The tiger sanctuary has a total of 380 tigers.
   * 81 of the tigers are Siberian tigers.

2. To find the number of non-Siberian tigers, we need to subtract the number of Siberian tigers from the total number of tigers.

3. Number of non-Siberian tigers = Total number of tigers - Number of Siberian tigers
   * Number of non-Siberian tigers = 380 - 81
   * Number of non-Siberian tigers = 299

Therefore, there are 299 non-Siberian tigers in the sanctuary.

### Answer: 299

Expected answer: 299

Correct? Yes

๐Ÿ”— Problem

Problem: A wind turbine generated 361 kilowatts of electricity in a day. During the morning, it generated 151 kilowatts. How many kilowatts were generated by the wind turbine in the afternoon?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The wind turbine generated a total of 361 kilowatts in a day.
* During the morning, it generated 151 kilowatts.
* We need to find the number of kilowatts generated in the afternoon.

Now, let's calculate the kilowatts generated in the afternoon:
* Total kilowatts generated in a day = Kilowatts generated in the morning + Kilowatts generated in the afternoon
* 361 = 151 + Kilowatts generated in the afternoon
* Kilowatts generated in the afternoon = 361 - 151
* Kilowatts generated in the afternoon = <<361-151=210>>210

Therefore, the wind turbine generated 210 kilowatts in the afternoon.

### Answer: 210

Expected answer: 210

Correct? Yes

๐Ÿ”— Problem

Problem: In a city, the total rainfall over the course of a month was 76mm. If it rained 41mm in the first half of the month, how much did it rain in the second half of the month?

Claude-3 Opus:

To find out how much it rained in the second half of the month, let's organize the given information and solve the problem step by step.

Given:
- The total rainfall over the course of a month was 76mm.
- It rained 41mm in the first half of the month.

Step 1: Let's define a variable for the rainfall in the second half of the month.
Let x = rainfall in the second half of the month

Step 2: Set up an equation based on the given information.
Total rainfall = Rainfall in the first half + Rainfall in the second half
76 = 41 + x

Step 3: Solve the equation for x.
76 - 41 = x
35 = x

Therefore, it rained 35mm in the second half of the month.

### Answer: 35mm

Expected answer: 35

Correct? Yes

๐Ÿ”— Problem

Problem: The local park has installed 30 new benches. If the total cost of installation was $6690, what was the cost to install each bench?

Claude-3 Opus:

To find the cost to install each bench, we need to divide the total cost by the number of benches installed.

Given:
- The park installed 30 new benches.
- The total cost of installation was $6690.

Step 1: Divide the total cost by the number of benches.
Cost per bench = Total cost รท Number of benches
Cost per bench = $6690 รท 30
Cost per bench = $223

Therefore, the cost to install each bench was $223.

### Answer: $223

Expected answer: 223

Correct? Yes

๐Ÿ”— Problem

Problem: A mermaid found a treasure chest containing 4554 pearls. If she found 46 pearls each time she dived, how many times did she dive to collect all the pearls?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The mermaid found a total of 4554 pearls.
* Each time she dived, she found 46 pearls.

To find out how many times she dived, we need to divide the total number of pearls by the number of pearls she found in each dive.

Number of dives = Total number of pearls รท Number of pearls per dive
* Number of dives = 4554 รท 46
* Number of dives = 99

Therefore, the mermaid dived 99 times to collect all the pearls.

### Answer: 99

Expected answer: 99

Correct? Yes

๐Ÿ”— Problem

Problem: In a garden, there are 62 beautiful butterflies. If 28 of them are painted lady butterflies, how many are not painted lady butterflies?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * There are 62 butterflies in total in the garden.
   * 28 of these butterflies are painted lady butterflies.

2. To find the number of butterflies that are not painted lady butterflies, we need to subtract the number of painted lady butterflies from the total number of butterflies.

3. Calculation:
   * Number of butterflies that are not painted lady butterflies = Total number of butterflies - Number of painted lady butterflies
   * Number of butterflies that are not painted lady butterflies = 62 - 28
   * Number of butterflies that are not painted lady butterflies = 34

Therefore, 34 butterflies in the garden are not painted lady butterflies.

### Answer: 34

Expected answer: 34

Correct? Yes

๐Ÿ”— Problem

Problem: Princess Serena has a total of 644 charms in her collection. If she gained 310 silver charms over the last year, how many gold charms did she already have in her collection?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* Princess Serena has a total of 644 charms in her collection.
* She gained 310 silver charms over the last year.
* We need to find out how many gold charms she already had in her collection.

Let's assume that Princess Serena only has silver and gold charms in her collection.

If we subtract the number of silver charms she gained over the last year from the total number of charms in her collection, we will get the number of gold charms she already had.

Total charms - Silver charms gained = Gold charms already in the collection
644 - 310 = 334

Therefore, Princess Serena already had 334 gold charms in her collection.

### Answer: 334

Expected answer: 334

Correct? Yes

๐Ÿ”— Problem

Problem: One of Mary's bracelets is made out of individual pieces, and she counted that there are 276 pieces in total. If Mary only adds pieces in sets of 4, what was the original count of pieces before she added the last set?

Claude-3 Opus:

Let's approach this step by step:

1) We know that Mary adds pieces in sets of 4. This means that the total number of pieces (276) must be divisible by 4.

2) Let's check: 276 รท 4 = 69. This division works out perfectly, confirming that 276 is indeed divisible by 4.

3) Now, we want to find the number of pieces before the last set was added. In other words, we want to subtract one set of 4 from the total.

4) 276 - 4 = 272

Therefore, before Mary added the last set of 4 pieces, the bracelet had 272 pieces.

### Answer: 272

Expected answer: 272

Correct? Yes

๐Ÿ”— Problem

Problem: A doll collector has 716 dolls in total. If 380 of those dolls are porcelain dolls, how many dolls are not porcelain?

Claude-3 Opus:

To find out how many dolls are not porcelain, we need to subtract the number of porcelain dolls from the total number of dolls.

Given:
- The doll collector has 716 dolls in total.
- 380 of those dolls are porcelain dolls.

Number of non-porcelain dolls = Total number of dolls - Number of porcelain dolls
Number of non-porcelain dolls = 716 - 380 = 336

Therefore, 336 dolls are not porcelain.

### Answer: 336

Expected answer: 336

Correct? Yes

๐Ÿ”— Problem

Problem: A music store has 456 guitars in total. If 228 of those guitars are electric, how many of the guitars are acoustic?

Claude-3 Opus:

Let's solve this step by step:

1. We know the total number of guitars in the store is 456.
2. Out of these, 228 are electric guitars.
3. To find the number of acoustic guitars, we need to subtract the number of electric guitars from the total number of guitars.

Number of acoustic guitars = Total guitars - Electric guitars
Number of acoustic guitars = 456 - 228 = 228

Therefore, the number of acoustic guitars in the store is equal to the number of electric guitars.

### Answer: 228

Expected answer: 228

Correct? Yes

๐Ÿ”— Problem

Problem: At the base of a mountain, hikers start at an elevation of 103 meters. By the end of their climb, they reach a total elevation of 457 meters. How many meters did the hikers climb?

Claude-3 Opus:

To find out how many meters the hikers climbed, we need to calculate the difference between their starting elevation and their final elevation.

Given:
- The hikers start at an elevation of 103 meters.
- By the end of their climb, they reach a total elevation of 457 meters.

To calculate the number of meters climbed, we subtract the starting elevation from the final elevation:

Meters climbed = Final elevation - Starting elevation
Meters climbed = 457 - 103 = <<457-103=354>>354 meters

Therefore, the hikers climbed 354 meters from the base of the mountain to their final elevation.

### Answer: 354 meters.

Expected answer: 354

Correct? Yes

๐Ÿ”— Problem

Problem: In a castle, there are 264 total rooms. If 234 of those rooms are occupied, how many rooms are unoccupied?

Claude-3 Opus:

To find the number of unoccupied rooms, we need to subtract the number of occupied rooms from the total number of rooms.

Given:
- There are 264 total rooms in the castle.
- 234 of those rooms are occupied.

To calculate the number of unoccupied rooms, we do:
Unoccupied rooms = Total rooms - Occupied rooms
Unoccupied rooms = 264 - 234 = <<264-234=30>>30

Therefore, there are 30 unoccupied rooms in the castle.

### Answer: 30

Expected answer: 30

Correct? Yes

๐Ÿ”— Problem

Problem: In a ball factory, the number of soccer balls is 359. If that number includes 286 made yesterday, how many were made today?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The total number of soccer balls in the factory is 359.
   * Out of the total, 286 soccer balls were made yesterday.

2. To find the number of soccer balls made today, we need to subtract the number of soccer balls made yesterday from the total number of soccer balls.

3. Number of soccer balls made today = Total number of soccer balls - Number of soccer balls made yesterday
   * Number of soccer balls made today = 359 - 286
   * Number of soccer balls made today = 73

Therefore, 73 soccer balls were made today in the factory.

### Answer: 73

Expected answer: 73

Correct? Yes

๐Ÿ”— Problem

Problem: There are 326 beach balls at a seaside resort. If one part of the beach already has 246 beach balls, how many beach balls are there in the other part?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * There are a total of 326 beach balls at the seaside resort.
   * One part of the beach already has 246 beach balls.

2. To find the number of beach balls in the other part, we need to subtract the number of beach balls in the first part from the total number of beach balls:
   * Beach balls in the other part = Total beach balls - Beach balls in one part
   * Beach balls in the other part = 326 - 246
   * Beach balls in the other part = 80

Therefore, there are 80 beach balls in the other part of the beach.

### Answer: 80

Expected answer: 80

Correct? Yes

๐Ÿ”— Problem

Problem: There are 9287 passengers that took the bus this week. If each bus can carry 251 passengers, how many buses were needed to carry all the passengers?

Claude-3 Opus:

To find the number of buses needed, we need to divide the total number of passengers by the number of passengers each bus can carry. If the division results in a remainder, we need to round up to the next whole number to ensure all passengers are accommodated.

9287 passengers รท 251 passengers per bus = 37 buses with a remainder of 0 passengers

Since there is no remainder, we don't need to round up.

### Answer: 37

Expected answer: 37

Correct? Yes

๐Ÿ”— Problem

Problem: A farmer harvested 438 cucumbers in total. If he previously harvested 69 cucumbers, how many cucumbers did he harvest this time?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The farmer harvested a total of 438 cucumbers.
* He had previously harvested 69 cucumbers.
* We need to find out how many cucumbers he harvested this time.

Now, let's calculate the number of cucumbers harvested this time:
* Total cucumbers harvested = Previously harvested cucumbers + Cucumbers harvested this time
* 438 = 69 + Cucumbers harvested this time
* Cucumbers harvested this time = 438 - 69
* Cucumbers harvested this time = <<438-69=369>>369

Therefore, the farmer harvested 369 cucumbers this time.

### Answer: 369

Expected answer: 369

Correct? Yes

๐Ÿ”— Problem

Problem: In a warehouse, there are 424 chairs. If 208 chairs are already loaded onto the truck, how many chairs are left in the warehouse to be loaded?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * There are 424 chairs in total in the warehouse.
   * 208 chairs are already loaded onto the truck.

2. To find the number of chairs left in the warehouse, we need to subtract the number of chairs already loaded from the total number of chairs:
   * Chairs left = Total chairs - Chairs already loaded
   * Chairs left = 424 - 208
   * Chairs left = <<424-208=216>>216

Therefore, there are 216 chairs left in the warehouse to be loaded.

### Answer: 216

Expected answer: 216

Correct? Yes

๐Ÿ”— Problem

Problem: Superhero Flash can run 198 miles in an hour. If the total miles he can run is increased by 19 miles per hour compared to his previous speed, what was his previous speed?

Claude-3 Opus:

To find Flash's previous speed, let's use the given information:
* Flash's current speed is 198 miles per hour.
* His current speed is 19 miles per hour faster than his previous speed.

To calculate his previous speed, we need to subtract the increase in speed from his current speed.

Previous speed = Current speed - Increase in speed
Previous speed = 198 miles per hour - 19 miles per hour
Previous speed = 179 miles per hour

Therefore, Flash's previous speed was 179 miles per hour.

### Answer: 179 miles per hour.

Expected answer: 179

Correct? Yes

๐Ÿ”— Problem

Problem: On a farm, there are a total of 727 animals. If 342 of those animals are chickens, how many animals are not chickens?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * There are a total of 727 animals on the farm.
   * 342 of those animals are chickens.

2. To find the number of animals that are not chickens, we need to subtract the number of chickens from the total number of animals:
   * Number of non-chicken animals = Total animals - Number of chickens
   * Number of non-chicken animals = 727 - 342
   * Number of non-chicken animals = 385

Therefore, there are 385 animals on the farm that are not chickens.

### Answer: 385

Expected answer: 385

Correct? Yes

๐Ÿ”— Problem

Problem: A chocolate factory has a daily production of 385 chocolate bars. If 230 bars are dark chocolate, how many bars are milk chocolate?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The chocolate factory produces a total of 385 chocolate bars daily.
* Out of the total, 230 bars are dark chocolate.

We need to find the number of milk chocolate bars produced.

Reasoning:
1. The total number of chocolate bars produced is the sum of dark chocolate and milk chocolate bars.
2. If we subtract the number of dark chocolate bars from the total, we will get the number of milk chocolate bars.

Calculation:
* Number of milk chocolate bars = Total chocolate bars - Dark chocolate bars
* Number of milk chocolate bars = 385 - 230 = 155

Therefore, the chocolate factory produces 155 milk chocolate bars daily.

### Answer: 155

Expected answer: 155

Correct? Yes

๐Ÿ”— Problem

Problem: The initial altitude of a mountain is 289 meters above sea level but after some tectonic activity, it is now 357 meters above sea level. By how many meters did the altitude increase after the tectonic activity?

Claude-3 Opus:

To find the increase in altitude, we need to subtract the initial altitude from the final altitude.

Given:
- Initial altitude = 289 meters above sea level
- Final altitude after tectonic activity = 357 meters above sea level

Increase in altitude = Final altitude - Initial altitude
Increase in altitude = 357 - 289 = <<357-289=68>>68 meters

Therefore, the altitude of the mountain increased by 68 meters after the tectonic activity.

### Answer: 68 meters

Expected answer: 68

Correct? Yes

๐Ÿ”— Problem

Problem: If a zoo needs 4572 pounds of food to feed every monkey over a month and every single monkey eats 36 pounds of food in a month, how many monkeys are there in the zoo?

Claude-3 Opus:

To find the number of monkeys in the zoo, we need to divide the total amount of food needed by the amount of food each monkey eats in a month.

Given:
- The zoo needs 4572 pounds of food to feed every monkey over a month.
- Each monkey eats 36 pounds of food in a month.

To calculate the number of monkeys, we divide the total food needed by the amount each monkey eats:

Number of monkeys = Total food needed รท Food per monkey
Number of monkeys = 4572 รท 36
Number of monkeys = <<4572/36=127>>127

Therefore, there are 127 monkeys in the zoo.

### Answer: 127

Expected answer: 127

Correct? Yes

๐Ÿ”— Problem

Problem: A doll house can hold 16 dolls in each room. If it can house a total of 832 dolls, how many rooms are in the doll house?

Claude-3 Opus:

Let's solve this step by step:

1. We know that each room can hold 16 dolls.
2. The total number of dolls that can be housed is 832.
3. To find the number of rooms, we need to divide the total number of dolls by the number of dolls each room can hold.

Number of rooms = Total number of dolls รท Number of dolls per room
                = 832 รท 16
                = <<832/16=52>>52

Therefore, there are 52 rooms in the doll house.

### Answer: 52

Expected answer: 52

Correct? Yes

๐Ÿ”— Problem

Problem: A luxurious watch costs $422. If the manufacturing cost is $200, how much is charged for brand value, sales profits, and other overheads?

Claude-3 Opus:

To find out how much is charged for brand value, sales profits, and other overheads, we need to subtract the manufacturing cost from the total cost of the watch.

Given:
- The luxurious watch costs $422.
- The manufacturing cost is $200.

Step 1: Calculate the amount charged for brand value, sales profits, and other overheads by subtracting the manufacturing cost from the total cost.
Brand value, sales profits, and other overheads = Total cost - Manufacturing cost
Brand value, sales profits, and other overheads = $422 - $200 = $222

Therefore, $222 is charged for brand value, sales profits, and other overheads.

### Answer: $222

Expected answer: 222

Correct? Yes