🔗 Problem

Problem: A chocolate factory initially had 33 chocolate bars. However, 6 of them were given away as samples to customers. Then, 3 of them were used for a quality control testing. How many chocolate bars are left in the factory?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of chocolate bars that were taken away from the initial stock, and then subtract it from the initial stock.

    Given information:
    - The factory initially had 33 chocolate bars.
    - 6 chocolate bars were given away as samples to customers.
    - 3 chocolate bars were used for quality control testing.

    Step 1: Find the total number of chocolate bars taken away.
    Number of chocolate bars given away as samples + Number of chocolate bars used for quality control testing = Total number of chocolate bars taken away
    6 + 3 = 9 chocolate bars taken away

    Step 2: Find the number of chocolate bars left in the factory.
    Initial number of chocolate bars - Total number of chocolate bars taken away = Number of chocolate bars left in the factory
    33 - 9 = 24 chocolate bars left in the factory

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: After performing inventory, the chocolate factory decided to match the number of remaining chocolate bars by producing new ones. How many chocolate bars are there at the factory now, after adding the new bars?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of chocolate bars left after the previous operations and then double that number to account for the newly produced chocolate bars.

    Given information:
    - After giving away samples and using some for quality control testing, there were 24 chocolate bars left in the factory.
    - The factory decided to produce new chocolate bars to match the number of remaining chocolate bars.

    Step 1: Find the number of new chocolate bars produced.
    Number of new chocolate bars produced = Number of chocolate bars left in the factory
    Number of new chocolate bars produced = 24 chocolate bars

    Step 2: Find the total number of chocolate bars in the factory after adding the new bars.
    Total number of chocolate bars = Number of chocolate bars left in the factory + Number of new chocolate bars produced
    Total number of chocolate bars = 24 + 24 = 48 chocolate bars

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: In a similar scenario, instead of starting with 33 chocolate bars, the factory had only 17 bars initially. After giving away 6 samples and using 3 bars for quality control tests, how many chocolate bars remain in the factory?

Claude-3 Sonnet:

    To solve this problem, we need to follow the same steps as before, but with the updated initial number of chocolate bars.

    Given information:
    - The factory initially had 17 chocolate bars.
    - 6 chocolate bars were given away as samples to customers.
    - 3 chocolate bars were used for quality control testing.

    Step 1: Find the total number of chocolate bars taken away.
    Number of chocolate bars given away as samples + Number of chocolate bars used for quality control testing = Total number of chocolate bars taken away
    6 + 3 = 9 chocolate bars taken away

    Step 2: Find the number of chocolate bars left in the factory.
    Initial number of chocolate bars - Total number of chocolate bars taken away = Number of chocolate bars left in the factory
    17 - 9 = 8 chocolate bars left in the factory

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: Deckmaster Tim has been given 84 unique trading cards. After a generous friend gave him a package of 7 new cards, he added them to his collection. How many unique trading cards does Deckmaster Tim have now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of unique trading cards Deckmaster Tim has after adding the new cards to his collection.

    Given information:
    - Deckmaster Tim initially had 84 unique trading cards.
    - A friend gave him a package of 7 new cards.

    Since the new cards are unique and not duplicates of the cards he already had, we can simply add the number of new cards to the initial number of cards.

    Step 1: Add the number of new cards to the initial number of cards.
    Total number of unique trading cards = Initial number of cards + Number of new cards
    Total number of unique trading cards = 84 + 7
    Total number of unique trading cards = 91

    Therefore, Deckmaster Tim now has 91 unique trading cards in his collection.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: Deckmaster Tim initially had 11 unique trading cards, instead of 84. If he were to add the same package of 7 new cards to his collection, how many unique trading cards would Deckmaster Tim have now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of unique trading cards Deckmaster Tim has after adding the new cards to his initial collection.

    Given information:
    - Deckmaster Tim initially had 11 unique trading cards.
    - A friend gave him a package of 7 new cards.

    Since the new cards are unique and not duplicates of the cards he already had, we can simply add the number of new cards to the initial number of cards.

    Step 1: Add the number of new cards to the initial number of cards.
    Total number of unique trading cards = Initial number of cards + Number of new cards
    Total number of unique trading cards = 11 + 7
    Total number of unique trading cards = 18

    Therefore, after adding the package of 7 new cards to his initial collection of 11 unique trading cards, Deckmaster Tim now has 18 unique trading cards in his collection.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: John has 5 dollars in his wallet. Later, he found an old birthday card with 86 dollars inside. After adding this to his wallet, how much money does John now have in his wallet?

Claude-3 Sonnet:

    To solve this problem, we need to add the amount of money John initially had in his wallet to the amount of money he found in the birthday card.

    Given information:
    - John initially had $5 in his wallet.
    - John found $86 in an old birthday card.

    Step 1: Add the initial amount of money in John's wallet to the amount of money found in the birthday card.
    Initial amount in wallet + Amount found in birthday card = Total amount in wallet
    $5 + $86 = $91

    Therefore, after adding the money found in the birthday card to his wallet, John now has $91 in his wallet.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: After counting his money, John decides to buy a video game that costs 78 dollars. After paying for it, how much money does John have left in his wallet?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the amount of money John had in his wallet and the cost of the video game.

    Given information:
    - John had $91 in his wallet.
    - The video game costs $78.

    Step 1: Subtract the cost of the video game from the amount of money John had in his wallet.
    Amount of money in wallet - Cost of video game = Amount of money left in wallet
    $91 - $78 = $13

    Therefore, after paying for the video game that costs $78, John has $13 left in his wallet.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: Let's adjust the original situation a bit: suppose that initially, John had only 2 dollars in his wallet, instead of 5. After finding the same 5 dollars inside the old birthday card and adding it to his wallet, how much money does John now have in his wallet?

Claude-3 Sonnet:

    Okay, let's adjust the initial amount of money John had in his wallet to $2 instead of $5.

    Given information:
    - John initially had $2 in his wallet.
    - John found $86 in an old birthday card.

    Step 1: Add the initial amount of money in John's wallet to the amount of money found in the birthday card.
    Initial amount in wallet + Amount found in birthday card = Total amount in wallet
    $2 + $86 = $88

    Therefore, after adding the money found in the birthday card to his wallet, John now has $88 in his wallet.

    ### Answer: 88

Expected answer: 7

Correct? No

🔗 Problem

Problem: At a campfire night, 26 marshmallows were roasted initially. Later in the night, an additional 12 marshmallows were roasted. The next day morning, 7 fresh marshmallows were roasted for breakfast. How many marshmallows were roasted in total?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of marshmallows roasted in each instance.

    Given information:
    - Initially, 26 marshmallows were roasted.
    - Later in the night, an additional 12 marshmallows were roasted.
    - The next day morning, 7 fresh marshmallows were roasted for breakfast.

    Step 1: Add the number of marshmallows roasted initially and later in the night.
    Number of marshmallows roasted initially + Number of marshmallows roasted later in the night
    26 + 12 = 38 marshmallows

    Step 2: Add the number of marshmallows roasted the next day morning to the result from Step 1.
    Number of marshmallows roasted initially and later in the night + Number of marshmallows roasted the next day morning
    38 + 7 = 45 marshmallows

    Therefore, a total of 45 marshmallows were roasted.

    ### Answer: 45

Expected answer: 45

Correct? Yes

🔗 Problem

Problem: The sun is 56 million miles away from a planet. On this planet, every mile corresponds to one unit of brightness for their daylight. What is the total brightness of their daylight, measured in these units?

Claude-3 Sonnet:

    To solve this problem, we need to find the distance between the sun and the planet in miles, which is given as 56 million miles.

    Given information:
    - The sun is 56 million miles away from the planet.
    - On this planet, every mile corresponds to one unit of brightness for their daylight.

    Since every mile corresponds to one unit of brightness, the total brightness of their daylight, measured in units, will be equal to the distance between the sun and the planet in miles.

    Total brightness of their daylight = Distance between the sun and the planet in miles
    Total brightness of their daylight = 56 million miles

    Therefore, the total brightness of their daylight, measured in units, is 56 million units.

    ### Answer: 56 million

Expected answer: 56

Correct? Yes

🔗 Problem

Problem: In a dense jungle, there are 42 monkeys living on trees. After a few months, the monkey population increased and 29 more monkeys are seen around. What is the total number of monkeys in the jungle now?

Claude-3 Sonnet:

    To solve this problem, we need to find the sum of the initial number of monkeys and the number of new monkeys that arrived.

    Given information:
    - Initially, there were 42 monkeys living on trees in the jungle.
    - After a few months, 29 more monkeys arrived.

    Step 1: Find the total number of monkeys in the jungle now.
    Total number of monkeys = Initial number of monkeys + Number of new monkeys
    Total number of monkeys = 42 + 29
    Total number of monkeys = 71

    Therefore, the total number of monkeys in the jungle now is 71.

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Follow-up

Problem: In the previous jungle monkey population query, we said that the original population was 42 monkeys. However, let's consider a possibility where there were initially only 26 monkeys before the 29 additional monkeys arrived. Can you calculate the total number of monkeys that would be there in the jungle now?

Claude-3 Sonnet:

    Sure, let's recalculate the total number of monkeys in the jungle with the updated initial population.

    Given information:
    - Initially, there were 26 monkeys living in the jungle.
    - After a few months, 29 more monkeys arrived.

    Step 1: Find the total number of monkeys in the jungle now.
    Total number of monkeys = Initial number of monkeys + Number of new monkeys
    Total number of monkeys = 26 + 29
    Total number of monkeys = 55

    Therefore, with an initial population of 26 monkeys and the addition of 29 new monkeys, the total number of monkeys in the jungle now is 55.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Problem

Problem: A pirate found an ancient chest filled with 16 emeralds. Excited, she continued her search and found another chest also filled with 16 emeralds. How many emeralds does the pirate have in total now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of emeralds the pirate found in both chests.

    Given information:
    - The pirate found one chest with 16 emeralds.
    - The pirate found another chest with 16 emeralds.

    Step 1: Find the number of emeralds in the first chest.
    Number of emeralds in the first chest = 16

    Step 2: Find the number of emeralds in the second chest.
    Number of emeralds in the second chest = 16

    Step 3: Find the total number of emeralds by adding the emeralds from both chests.
    Total number of emeralds = Number of emeralds in the first chest + Number of emeralds in the second chest
    Total number of emeralds = 16 + 16
    Total number of emeralds = 32

    Therefore, the pirate has a total of 32 emeralds now.

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Follow-up

Problem: The pirate was thrilled with her find of 32 emeralds but the adventure had just begun. Suppose she had found two chests initially each filled with 45 emeralds instead of 16. How many emeralds would the pirate have in total now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of emeralds the pirate would have found in two chests, each containing 45 emeralds.

    Given information:
    - The pirate found one chest with 45 emeralds.
    - The pirate found another chest with 45 emeralds.

    Step 1: Find the number of emeralds in the first chest.
    Number of emeralds in the first chest = 45

    Step 2: Find the number of emeralds in the second chest.
    Number of emeralds in the second chest = 45

    Step 3: Find the total number of emeralds by adding the emeralds from both chests.
    Total number of emeralds = Number of emeralds in the first chest + Number of emeralds in the second chest
    Total number of emeralds = 45 + 45
    Total number of emeralds = 90

    Therefore, if the pirate had found two chests initially, each filled with 45 emeralds instead of 16, she would have a total of 90 emeralds now.

    ### Answer: 90

Expected answer: 90

Correct? Yes

🔗 Problem

Problem: There was a building with 28 windows on the ground floor. The owner decided to add 4 more windows to make it more presentable. Later, he went ahead to the next floor where there were already 51 windows. What is the total number of windows in the building now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of windows after adding the new windows on the ground floor and then add it to the number of windows on the next floor.

    Given information:
    - There were 28 windows on the ground floor initially.
    - The owner added 4 more windows on the ground floor.
    - There were already 51 windows on the next floor.

    Step 1: Find the total number of windows on the ground floor after adding the new windows.
    Number of windows on the ground floor after adding new windows = Initial number of windows + Number of new windows added
    Number of windows on the ground floor after adding new windows = 28 + 4 = 32 windows

    Step 2: Find the total number of windows in the building by adding the windows on the ground floor and the next floor.
    Total number of windows in the building = Number of windows on the ground floor + Number of windows on the next floor
    Total number of windows in the building = 32 + 51 = 83 windows

    Therefore, the total number of windows in the building now is 83.

    ### Answer: 83

Expected answer: 83

Correct? Yes

🔗 Follow-up

Problem: After a sudden storm passed through the town, the building owner was dismayed to discover that 64 of the windows in his building had been shattered by hail. After removing the shattered windows, how many windows are left unbroken in the building?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of windows in the building and then subtract the number of shattered windows from it.

    Given information:
    - There were 83 windows in the building before the storm.
    - 64 windows were shattered by hail during the storm.

    Step 1: Find the total number of windows in the building before the storm.
    Total number of windows in the building before the storm = 83 windows

    Step 2: Find the number of windows left unbroken after removing the shattered windows.
    Number of windows left unbroken = Total number of windows before the storm - Number of shattered windows
    Number of windows left unbroken = 83 - 64 = 19 windows

    Therefore, after removing the shattered windows, there are 19 windows left unbroken in the building.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Follow-up

Problem: Let's say the owner originally had 28 windows on the ground floor and decided to add just 4 more for better aesthetics. However, instead of 51 windows as in the previous scenario, suppose he only had 25 windows on the next floor. Now, how many windows are there in total in the building?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - There were 28 windows on the ground floor initially.
    - The owner added 4 more windows on the ground floor.
    - There were 25 windows on the next floor.

    Step 1: Find the total number of windows on the ground floor after adding the new windows.
    Number of windows on the ground floor after adding new windows = Initial number of windows + Number of new windows added
    Number of windows on the ground floor after adding new windows = 28 + 4 = 32 windows

    Step 2: Find the total number of windows in the building by adding the windows on the ground floor and the next floor.
    Total number of windows in the building = Number of windows on the ground floor + Number of windows on the next floor
    Total number of windows in the building = 32 + 25 = 57 windows

    Therefore, the total number of windows in the building now is 57.

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Problem

Problem: In a large vegetable garden, there were originally 93 cucumbers. But then, 13 cucumbers got eaten by insects. The gardener then removed an additional 9 cucumbers to prepare for dinner. How many cucumbers are left in the garden after the gardener removes the cucumbers for dinner?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of cucumbers remaining after the insects ate some and the gardener removed some for dinner.

    Given information:
    - There were originally 93 cucumbers in the garden.
    - 13 cucumbers were eaten by insects.
    - The gardener removed 9 cucumbers for dinner.

    Step 1: Find the number of cucumbers remaining after the insects ate some.
    Number of cucumbers remaining after insects = Original number of cucumbers - Number of cucumbers eaten by insects
    Number of cucumbers remaining after insects = 93 - 13 = 80 cucumbers

    Step 2: Find the number of cucumbers remaining after the gardener removed some for dinner.
    Number of cucumbers remaining after gardener = Number of cucumbers remaining after insects - Number of cucumbers removed for dinner
    Number of cucumbers remaining after gardener = 80 - 9 = 71 cucumbers

    Therefore, after the gardener removed the cucumbers for dinner, there are 71 cucumbers left in the garden.

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Follow-up

Problem: In the large vegetable garden, after the gardener removed the cucumbers for dinner, a group of children came and picked 50 cucumbers for a school project. How many cucumbers are left in the garden after the children took their cucumbers?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of cucumbers remaining after the children picked some for their school project.

    Given information:
    - After the gardener removed cucumbers for dinner, there were 71 cucumbers left in the garden.
    - A group of children picked 50 cucumbers for a school project.

    Step 1: Find the number of cucumbers remaining after the children picked some.
    Number of cucumbers remaining after children = Number of cucumbers remaining after gardener - Number of cucumbers picked by children
    Number of cucumbers remaining after children = 71 - 50 = 21 cucumbers

    Therefore, after the children took their cucumbers for the school project, there are 21 cucumbers left in the garden.

    ### Answer: 21

Expected answer: 21

Correct? Yes

🔗 Follow-up

Problem: In the large vegetable garden, suppose that originally there were 93 cucumbers. But this time, insects ate 52 cucumbers instead of 13. After that, the gardener removed an additional 9 cucumbers to prepare for dinner. How many cucumbers are left in the garden after the gardener removed the cucumbers for dinner?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of cucumbers remaining after the insects ate some and the gardener removed some for dinner.

    Given information:
    - There were originally 93 cucumbers in the garden.
    - 52 cucumbers were eaten by insects.
    - The gardener removed 9 cucumbers for dinner.

    Step 1: Find the number of cucumbers remaining after the insects ate some.
    Number of cucumbers remaining after insects = Original number of cucumbers - Number of cucumbers eaten by insects
    Number of cucumbers remaining after insects = 93 - 52 = 41 cucumbers

    Step 2: Find the number of cucumbers remaining after the gardener removed some for dinner.
    Number of cucumbers remaining after gardener = Number of cucumbers remaining after insects - Number of cucumbers removed for dinner
    Number of cucumbers remaining after gardener = 41 - 9 = 32 cucumbers

    Therefore, after the gardener removed the cucumbers for dinner, there are 32 cucumbers left in the garden.

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: On a sunny day at the beach, there were 80 beach balls initially. However, during a gusty period, 55 balls were taken by the wind and ended up in the ocean. How many beach balls are left on the beach?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of beach balls and the number of beach balls taken by the wind.

    Given information:
    - Initially, there were 80 beach balls on the beach.
    - 55 beach balls were taken by the wind and ended up in the ocean.

    Step 1: Find the number of beach balls remaining on the beach.
    Number of beach balls remaining = Initial number of beach balls - Number of beach balls taken by the wind
    Number of beach balls remaining = 80 - 55
    Number of beach balls remaining = 25

    Therefore, there are 25 beach balls left on the beach.

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: Following the gusty period at the beach that took away 55 beach balls, leaving some behind, 71 new colourful beach balls were delivered to the beach. How many beach balls are there now at the beach?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of beach balls remaining after the gusty period and then add the number of new beach balls delivered to the beach.

    Given information:
    - Initially, there were 80 beach balls on the beach.
    - 55 beach balls were taken by the wind and ended up in the ocean.
    - 71 new colourful beach balls were delivered to the beach.

    Step 1: Find the number of beach balls remaining after the gusty period.
    Number of beach balls remaining = Initial number of beach balls - Number of beach balls taken by the wind
    Number of beach balls remaining = 80 - 55 = 25

    Step 2: Find the total number of beach balls at the beach after the new delivery.
    Total number of beach balls = Number of beach balls remaining + Number of new beach balls delivered
    Total number of beach balls = 25 + 71 = 96

    Therefore, there are now 96 beach balls at the beach.

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: Let's imagine, instead of 55 beach balls being taken by the wind, only 21 beach balls ended up in the ocean. In that case, how many beach balls would be left on the beach?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - Initially, there were 80 beach balls on the beach.
    - 21 beach balls were taken by the wind and ended up in the ocean.

    Step 1: Find the number of beach balls remaining on the beach.
    Number of beach balls remaining = Initial number of beach balls - Number of beach balls taken by the wind
    Number of beach balls remaining = 80 - 21
    Number of beach balls remaining = 59

    Therefore, if 21 beach balls ended up in the ocean, there would be 59 beach balls left on the beach.

    ### Answer: 59

Expected answer: 59

Correct? Yes

🔗 Problem

Problem: A chef has a special recipe that calls for 1 tablespoon of salt. He needs to prepare thirty identical meals plus an extra one for tasting purposes. In total, how many tablespoons of salt would he be needing?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of meals the chef needs to prepare, and then multiply it by the amount of salt required for one meal.

    Given information:
    - The recipe calls for 1 tablespoon of salt per meal.
    - The chef needs to prepare 30 identical meals.
    - The chef needs to prepare an extra meal for tasting purposes.

    Step 1: Find the total number of meals the chef needs to prepare.
    Total number of meals = Number of identical meals + Extra meal for tasting
    Total number of meals = 30 + 1 = 31 meals

    Step 2: Calculate the total amount of salt needed for all the meals.
    Total amount of salt needed = Total number of meals × Amount of salt per meal
    Total amount of salt needed = 31 meals × 1 tablespoon of salt per meal
    Total amount of salt needed = 31 tablespoons of salt

    Therefore, the chef would need 31 tablespoons of salt to prepare thirty identical meals plus an extra one for tasting purposes.

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: After preparing a total of 31 meals, the chef realizes he has a large container filled with 60 tablespoons of salt. Given the amount of salt he has already used, how many tablespoons does he have left in the container after making the meals?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the total amount of salt in the container and the amount of salt used for preparing the meals.

    Given information:
    - The chef has a container filled with 60 tablespoons of salt.
    - The chef used 31 tablespoons of salt to prepare 31 meals.

    Step 1: Find the amount of salt used for preparing the meals.
    Amount of salt used = 31 tablespoons

    Step 2: Calculate the amount of salt left in the container.
    Amount of salt left = Total amount of salt in the container - Amount of salt used
    Amount of salt left = 60 tablespoons - 31 tablespoons
    Amount of salt left = 29 tablespoons

    Therefore, after preparing a total of 31 meals, the chef has 29 tablespoons of salt left in the container.

    ### Answer: 29

Expected answer: 29

Correct? Yes

🔗 Problem

Problem: Sarah had 40 pens at the beginning of the month. Over the course of the month, she gave away 27 pens to her friends. Later, in a pen collection competition, Sarah noticed that the winner had 51 pens. How many more pens does she need to have in order to match the winner's collection?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the number of pens the winner has and the number of pens Sarah has after giving away 27 pens.

    Given information:
    - Sarah had 40 pens at the beginning of the month.
    - Sarah gave away 27 pens to her friends.
    - The winner of the pen collection competition has 51 pens.

    Step 1: Find the number of pens Sarah has after giving away 27 pens.
    Sarah's initial number of pens - Number of pens given away = Sarah's remaining number of pens
    40 pens - 27 pens = 13 pens

    Step 2: Find the difference between the winner's number of pens and Sarah's remaining number of pens.
    Winner's number of pens - Sarah's remaining number of pens = Number of pens Sarah needs
    51 pens - 13 pens = 38 pens

    Therefore, Sarah needs 38 more pens to match the winner's collection.

    ### Answer: 38

Expected answer: 38

Correct? Yes

🔗 Follow-up

Problem: In the earlier scenario, Sarah initially had 77 pens instead of 40. She still gave away 27 pens to her friends. Given her new initial number of pens, how many more pens does she now need to match the winner's collection of 51 pens?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the number of pens the winner has and the number of pens Sarah has after giving away 27 pens from her new initial number of pens.

    Given information:
    - Sarah had 77 pens at the beginning of the month.
    - Sarah gave away 27 pens to her friends.
    - The winner of the pen collection competition has 51 pens.

    Step 1: Find the number of pens Sarah has after giving away 27 pens.
    Sarah's initial number of pens - Number of pens given away = Sarah's remaining number of pens
    77 pens - 27 pens = 50 pens

    Step 2: Find the difference between the winner's number of pens and Sarah's remaining number of pens.
    Winner's number of pens - Sarah's remaining number of pens = Number of pens Sarah needs
    51 pens - 50 pens = 1 pen

    Therefore, with her new initial number of 77 pens, Sarah needs 1 more pen to match the winner's collection of 51 pens.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a towel factory, 12 new towels are produced in the morning and 35 more in the afternoon. In a separate section of the factory, there are already 8 towels that have been produced. How many towels are there in total in the factory?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of towels produced in the morning and afternoon, and then add it to the number of towels already produced in the separate section.

    Given information:
    - 12 new towels are produced in the morning.
    - 35 more towels are produced in the afternoon.
    - There are already 8 towels produced in a separate section.

    Step 1: Find the total number of towels produced in the morning and afternoon.
    Number of towels produced in the morning + Number of towels produced in the afternoon = Total towels produced
    12 + 35 = 47 towels

    Step 2: Add the number of towels already produced in the separate section.
    Total towels produced + Number of towels in the separate section = Total towels in the factory
    47 + 8 = 55 towels

    Therefore, there are 55 towels in total in the factory.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: In the towel factory, an updated report shows that instead of 35 towels, 73 new towels were actually produced in the afternoon, while the number of towels produced in the morning remains the same (12 towels). Keeping in mind that 8 towels were already produced, how many towels are there in total in the factory now?

Claude-3 Sonnet:

    To solve this problem, we need to update the number of towels produced in the afternoon and recalculate the total number of towels in the factory.

    Given information:
    - 12 new towels are produced in the morning (unchanged).
    - 73 new towels are produced in the afternoon (updated from 35).
    - There are already 8 towels produced in a separate section (unchanged).

    Step 1: Find the total number of towels produced in the morning and afternoon.
    Number of towels produced in the morning + Number of towels produced in the afternoon = Total towels produced
    12 + 73 = 85 towels

    Step 2: Add the number of towels already produced in the separate section.
    Total towels produced + Number of towels in the separate section = Total towels in the factory
    85 + 8 = 93 towels

    Therefore, with the updated report, there are now 93 towels in total in the factory.

    ### Answer: 93

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: A helicopter depot has 75 fuel tanks in storage. After a large fleet of helicopters refuel, there are only 44 tanks left. How many fuel tanks were used?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of fuel tanks and the number of fuel tanks remaining after the refueling.

    Given information:
    - The helicopter depot initially had 75 fuel tanks in storage.
    - After the refueling, there were 44 fuel tanks left.

    Step 1: Find the number of fuel tanks used.
    Number of fuel tanks used = Initial number of fuel tanks - Number of fuel tanks remaining
    Number of fuel tanks used = 75 - 44
    Number of fuel tanks used = 31

    Therefore, 31 fuel tanks were used to refuel the fleet of helicopters.

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: In the same helicopter depot scenario, suppose we start with the same amount of 75 fuel tanks in storage. But this time, after a different group of helicopters refuel, there are 22 tanks left instead of 44. Now, how many fuel tanks were used?

Claude-3 Sonnet:

    Okay, let's solve this problem.

    Given information:
    - The helicopter depot initially had 75 fuel tanks in storage.
    - After the refueling of a different group of helicopters, there were 22 fuel tanks left.

    To find the number of fuel tanks used, we need to subtract the number of fuel tanks remaining from the initial number of fuel tanks.

    Step 1: Find the number of fuel tanks used.
    Number of fuel tanks used = Initial number of fuel tanks - Number of fuel tanks remaining
    Number of fuel tanks used = 75 - 22
    Number of fuel tanks used = 53

    Therefore, 53 fuel tanks were used to refuel the different group of helicopters.

    ### Answer: 53

Expected answer: 53

Correct? Yes

🔗 Problem

Problem: In the magical land of Unica, 33 unicorns have been spotted in the morning and the same number of unicorns are seen again in the afternoon. A pair of rare twin unicorns has joined the unicorns. How many unicorns are in Unica in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of unicorns in Unica.

    Given information:
    - In the morning, 33 unicorns were spotted.
    - In the afternoon, the same number of unicorns (33) were seen again.
    - A pair of rare twin unicorns has joined the unicorns.

    Step 1: Find the total number of unicorns seen in the morning and afternoon.
    Number of unicorns seen in the morning = 33
    Number of unicorns seen in the afternoon = 33
    Total number of unicorns seen in the morning and afternoon = 33 + 33 = 66

    Step 2: Add the pair of rare twin unicorns to the total.
    Total number of unicorns = Total number of unicorns seen in the morning and afternoon + Pair of rare twin unicorns
    Total number of unicorns = 66 + 2 = 68

    Therefore, there are 68 unicorns in total in the magical land of Unica.

    ### Answer: 68

Expected answer: 68

Correct? Yes

🔗 Follow-up

Problem: In the magical land of Unica, consider again the unicorns that were spotted. Supposedly instead of 33 unicorns in the morning, there were actually 58 unicorns. The same number of 33 unicorns are still seen in the afternoon, and the pair of rare twin unicorns is still there. Now, how many unicorns are in Unica in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of unicorns in Unica with the updated information.

    Given information:
    - In the morning, 58 unicorns were spotted (instead of 33).
    - In the afternoon, the same number of unicorns (33) were seen again.
    - A pair of rare twin unicorns has joined the unicorns.

    Step 1: Find the total number of unicorns seen in the morning and afternoon.
    Number of unicorns seen in the morning = 58
    Number of unicorns seen in the afternoon = 33
    Total number of unicorns seen in the morning and afternoon = 58 + 33 = 91

    Step 2: Add the pair of rare twin unicorns to the total.
    Total number of unicorns = Total number of unicorns seen in the morning and afternoon + Pair of rare twin unicorns
    Total number of unicorns = 91 + 2 = 93

    Therefore, with the updated information, there are 93 unicorns in total in the magical land of Unica.

    ### Answer: 93

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: Galaxy Man, a superhero, has been on 94 missions since he started his career. In 18 of these missions, he had to collaborate with other superheroes. How many missions did Galaxy Man complete on his own?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of missions Galaxy Man completed without collaborating with other superheroes.

    Given information:
    - Galaxy Man has been on 94 missions since he started his career.
    - In 18 of these missions, he had to collaborate with other superheroes.

    Step 1: Find the number of missions Galaxy Man completed on his own.
    Total missions - Missions with collaboration = Missions completed on his own
    94 - 18 = 76

    Therefore, Galaxy Man completed 76 missions on his own.

    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

Problem: If instead of 94 missions, Galaxy Man had only been on 28 missions since the start of his career, with the same 18 missions involving other superheroes, how many missions would Galaxy Man have completed alone?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of missions Galaxy Man completed without collaborating with other superheroes.

    Given information:
    - Galaxy Man has been on 28 missions since he started his career.
    - In 18 of these missions, he had to collaborate with other superheroes.

    Step 1: Find the number of missions Galaxy Man completed on his own.
    Total missions - Missions with collaboration = Missions completed on his own
    28 - 18 = 10

    Therefore, if Galaxy Man had been on 28 missions since the start of his career, with 18 missions involving other superheroes, he would have completed 10 missions on his own.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: You have a total of 92 pairs of earrings in your collection. After hosting a flea market, you sold 45 pairs. How many pairs of earrings do you have left in your collection?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the total number of pairs of earrings and the number of pairs sold at the flea market.

    Given information:
    - Total number of pairs of earrings in the collection = 92 pairs
    - Number of pairs of earrings sold at the flea market = 45 pairs

    Number of pairs of earrings left in the collection = Total number of pairs - Number of pairs sold
    Number of pairs of earrings left in the collection = 92 - 45
    Number of pairs of earrings left in the collection = 47 pairs

    ### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Follow-up

Problem: Imagine instead of 92 pairs of earrings, you originally had 48 pairs in your collection. After selling 45 pairs in the flea market, how many pairs of earrings do you have left now in your collection?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - Total number of pairs of earrings in the collection = 48 pairs
    - Number of pairs of earrings sold at the flea market = 45 pairs

    To find the number of pairs of earrings left in the collection, we need to subtract the number of pairs sold from the total number of pairs.

    Number of pairs of earrings left in the collection = Total number of pairs - Number of pairs sold
    Number of pairs of earrings left in the collection = 48 - 45
    Number of pairs of earrings left in the collection = 3 pairs

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: In a new game, a player has just earned 12 XP points. To level up, the player needs a total of 73 XP points plus the initial amount they just earned. How many XP points does the player need to level up?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the total XP points required to level up and the XP points the player has already earned.

    Given information:
    - The player has just earned 12 XP points.
    - To level up, the player needs a total of 73 XP points plus the initial amount they just earned.

    Step 1: Find the total XP points required to level up.
    Total XP points required to level up = 73 XP points + 12 XP points (initial amount earned)
    Total XP points required to level up = 73 + 12 = 85 XP points

    Step 2: Find the additional XP points needed to level up.
    Additional XP points needed to level up = Total XP points required to level up - XP points already earned
    Additional XP points needed to level up = 85 XP points - 12 XP points
    Additional XP points needed to level up = 73 XP points

    Therefore, the player needs 73 additional XP points to level up.

    ### Answer: 73

Expected answer: 85

Correct? No

🔗 Problem

Problem: In a fantastical kingdom, there are 10 dragons. One day, 89 dragons from distant lands come to the kingdom for a grand gathering. How many dragons were in the kingdom after the gathering?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of dragons in the kingdom after the gathering.

    Given information:
    - Initially, there are 10 dragons in the kingdom.
    - 89 dragons from distant lands come to the kingdom for the gathering.

    To find the total number of dragons after the gathering, we need to add the initial number of dragons in the kingdom and the number of dragons that came for the gathering.

    Total number of dragons after the gathering = Initial number of dragons in the kingdom + Number of dragons that came for the gathering
    Total number of dragons after the gathering = 10 + 89
    Total number of dragons after the gathering = 99

    Therefore, after the gathering, there were 99 dragons in the kingdom.

    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: Considering that originally, there were 10 dragons in the kingdom and instead of having 89 additional dragons arriving, only 10 more dragons came for the grand gathering. How many dragons were in the kingdom for the gathering then?

Claude-3 Sonnet:

    Okay, let's reconsider the problem with the updated information.

    Given information:
    - Originally, there were 10 dragons in the kingdom.
    - Instead of 89 additional dragons arriving, only 10 more dragons came for the grand gathering.

    To find the total number of dragons in the kingdom for the gathering, we need to add the initial number of dragons in the kingdom and the number of additional dragons that came for the gathering.

    Total number of dragons for the gathering = Initial number of dragons in the kingdom + Number of additional dragons that came for the gathering
    Total number of dragons for the gathering = 10 + 10
    Total number of dragons for the gathering = 20

    Therefore, there were 20 dragons in the kingdom for the grand gathering.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: Emily loves to pass her time by watching TV. One day, she decided to do a marathon of her favorite series. On the first day, she watched 34 episodes. Overwhelmed by the suspense, on the next day she watched 61 more episodes. How many episodes did Emily watch in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of episodes Emily watched by adding the number of episodes she watched on the first day and the second day.

    Given information:
    - On the first day, Emily watched 34 episodes.
    - On the second day, Emily watched 61 more episodes.

    Step 1: Find the total number of episodes Emily watched.
    Total episodes watched = Episodes watched on the first day + Episodes watched on the second day
    Total episodes watched = 34 + 61
    Total episodes watched = 95

    Therefore, Emily watched a total of 95 episodes during her marathon of her favorite series.

    ### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Follow-up

Problem: Emily realized that she had made an error. Actually, on the first day, she had watched 23 episodes and not 34. With the 61 more episodes she watched the next day, how many episodes did Emily watch in total now?

Claude-3 Sonnet:

    Okay, let's recalculate the total number of episodes Emily watched with the updated information.

    Given information:
    - On the first day, Emily watched 23 episodes (not 34).
    - On the second day, Emily watched 61 more episodes.

    Step 1: Find the total number of episodes Emily watched.
    Total episodes watched = Episodes watched on the first day + Episodes watched on the second day
    Total episodes watched = 23 + 61
    Total episodes watched = 84

    Therefore, with the updated information, Emily watched a total of 84 episodes during her marathon of her favorite series.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: In a magical realm, a total of 58 dragons exist. However, 13 of them decided to migrate to another realm. How many dragons remain in the original realm?

Claude-3 Sonnet:

    To solve this problem, we need to subtract the number of dragons that migrated from the total number of dragons initially present in the realm.

    Given information:
    - Total number of dragons in the original realm = 58
    - Number of dragons that migrated to another realm = 13

    Number of dragons remaining in the original realm = Total dragons - Dragons that migrated
    Number of dragons remaining in the original realm = 58 - 13
    Number of dragons remaining in the original realm = 45

    ### Answer: 45

Expected answer: 45

Correct? Yes

🔗 Follow-up

Problem: In the same magical realm, let's now consider a slightly altered scenario. What if, instead of 13 dragons leaving, only 1 dragon had migrated to another realm? How many dragons would remain in the original realm then?

Claude-3 Sonnet:

    Okay, let's consider the new scenario where only 1 dragon migrated to another realm instead of 13.

    Given information:
    - Total number of dragons in the original realm = 58
    - Number of dragons that migrated to another realm = 1

    Number of dragons remaining in the original realm = Total dragons - Dragons that migrated
    Number of dragons remaining in the original realm = 58 - 1
    Number of dragons remaining in the original realm = 57

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Problem

Problem: A town's water reservoir contains 87 million liters of water. To supply water for various needs, the town decides to use 73 million liters of water from the reservoir. What is the remaining amount of water in the reservoir in millions of liters?

Claude-3 Sonnet:

    To solve this problem, we need to subtract the amount of water used from the initial amount of water in the reservoir.

    Given information:
    - The town's water reservoir contains 87 million liters of water.
    - The town decides to use 73 million liters of water from the reservoir.

    Step 1: Subtract the amount of water used from the initial amount of water in the reservoir.
    Initial amount of water in the reservoir - Amount of water used = Remaining amount of water in the reservoir
    87 million liters - 73 million liters = 14 million liters

    Therefore, the remaining amount of water in the reservoir is 14 million liters.

    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Follow-up

Problem: After considering the water needs of the town more carefully, it turns out the town only decided to use 22 million liters of water from the reservoir, as opposed to 73 million liters previously calculated. What is the remaining amount of water in the reservoir in million liters under this revised estimate?

Claude-3 Sonnet:

    Okay, let's revise the calculation with the new information.

    Given information:
    - The town's water reservoir contains 87 million liters of water.
    - The town decides to use 22 million liters of water from the reservoir.

    Step 1: Subtract the amount of water used from the initial amount of water in the reservoir.
    Initial amount of water in the reservoir - Amount of water used = Remaining amount of water in the reservoir
    87 million liters - 22 million liters = 65 million liters

    Therefore, with the revised estimate of using 22 million liters of water, the remaining amount of water in the reservoir is 65 million liters.

    ### Answer: 65

Expected answer: 65

Correct? Yes

🔗 Problem

Problem: In a rocket science laboratory, there were originally 40 components. However, due to an experiment, 29 components were used up and are no longer available. Afterward, the laboratory received a new delivery with an extra 47 components. what is the total number of components in the laboratory now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of components remaining after the experiment and then add the new delivery of components.

    Given information:
    - Originally, there were 40 components in the laboratory.
    - During the experiment, 29 components were used up.
    - After the experiment, the laboratory received a new delivery with 47 additional components.

    Step 1: Find the number of components remaining after the experiment.
    Number of components remaining = Original number of components - Number of components used up
    Number of components remaining = 40 - 29 = 11 components

    Step 2: Find the total number of components after the new delivery.
    Total number of components = Number of components remaining + Number of new components delivered
    Total number of components = 11 + 47 = 58 components

    Therefore, the total number of components in the laboratory now is 58.

    ### Answer: 58

Expected answer: 58

Correct? Yes

🔗 Follow-up

Problem: Building on the previous scenario, in the rocket science laboratory, after counting the total number of components now available, they decided to further increase their stock. They received an additional shipment containing 14 more components. How many components does the laboratory have in total now?

Claude-3 Sonnet:

    In the previous scenario, we found that the laboratory had a total of 58 components after receiving the new delivery of 47 components.

    Now, we need to add the additional shipment of 14 components to the existing total.

    Given information:
    - The laboratory had a total of 58 components after the previous delivery.
    - They received an additional shipment containing 14 more components.

    Step 1: Find the total number of components after the additional shipment.
    Total number of components = Previous total number of components + Number of components in the additional shipment
    Total number of components = 58 + 14 = 72 components

    Therefore, the laboratory now has a total of 72 components after receiving the additional shipment of 14 components.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: In the original scenario at the rocket science laboratory, let's revise the number of components used up in the experiment. Instead of using 29 components, they only used 11 components from the original 40. The laboratory still received the new delivery with an extra 47 components afterwards. What is the total number of components in the laboratory now?

Claude-3 Sonnet:

    Okay, let's revise the problem with the new information.

    Given information:
    - Originally, there were 40 components in the laboratory.
    - During the experiment, 11 components were used up.
    - After the experiment, the laboratory received a new delivery with 47 additional components.

    Step 1: Find the number of components remaining after the experiment.
    Number of components remaining = Original number of components - Number of components used up
    Number of components remaining = 40 - 11 = 29 components

    Step 2: Find the total number of components after the new delivery.
    Total number of components = Number of components remaining + Number of new components delivered
    Total number of components = 29 + 47 = 76 components

    Therefore, with the revised information, the total number of components in the laboratory now is 76.

    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Problem

Problem: Maria has a garden and she grows tomatoes. This month she picked 68 tomatoes from her plants. At the same time, her neighbour Karen shared that she picked 64 tomatoes from her plants this month. How many more tomatoes did Maria pick than Karen?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the number of tomatoes picked by Maria and the number of tomatoes picked by Karen.

    Given information:
    - Maria picked 68 tomatoes from her plants.
    - Karen picked 64 tomatoes from her plants.

    Step 1: Subtract the number of tomatoes picked by Karen from the number of tomatoes picked by Maria.
    Number of tomatoes Maria picked - Number of tomatoes Karen picked = Difference in the number of tomatoes picked
    68 - 64 = 4

    Therefore, Maria picked 4 more tomatoes than Karen.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Maria's brother decided to grow tomatoes too. This month he picked 81 tomatoes from his plants. Karen didn't pick any additional tomatoes since we last checked, and still has 64 tomatoes. How many more tomatoes did Maria's brother pick than Karen?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the number of tomatoes picked by Maria's brother and the number of tomatoes picked by Karen.

    Given information:
    - Maria's brother picked 81 tomatoes from his plants.
    - Karen picked 64 tomatoes from her plants.

    Step 1: Subtract the number of tomatoes picked by Karen from the number of tomatoes picked by Maria's brother.
    Number of tomatoes Maria's brother picked - Number of tomatoes Karen picked = Difference in the number of tomatoes picked
    81 - 64 = 17

    Therefore, Maria's brother picked 17 more tomatoes than Karen.

    ### Answer: 17

Expected answer: 17

Correct? Yes

🔗 Problem

Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. How many wolves are left in the forest now?

Claude-3 Sonnet:

    To solve this problem, we need to find the initial wolf population and then subtract the number of wolves that migrated to another forest.

    Given information:
    - There are 7 adult wolves and 77 cubs in the forest.
    - The wolf population, denoted by w, is equal to 7 (adult wolves) + 77 (cubs).
    - 40 wolves migrated to another forest.

    Step 1: Find the initial wolf population.
    Initial wolf population, w = 7 (adult wolves) + 77 (cubs)
    w = 7 + 77
    w = 84 wolves

    Step 2: Find the number of wolves left in the forest after migration.
    Number of wolves left = Initial wolf population - Number of wolves migrated
    Number of wolves left = 84 - 40
    Number of wolves left = 44 wolves

    Therefore, after 40 wolves migrated to another forest, there are 44 wolves left in the forest.

    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. Then later, a pack of 14 wolves moved to a mountainside. How many wolves are left in the forest now?

Claude-3 Sonnet:

    To solve this problem, we need to find the initial wolf population, subtract the number of wolves that migrated to another forest, and then subtract the number of wolves that moved to the mountainside.

    Given information:
    - There are 7 adult wolves and 77 cubs in the forest.
    - The wolf population, denoted by w, is equal to 7 (adult wolves) + 77 (cubs).
    - 40 wolves migrated to another forest.
    - 14 wolves moved to a mountainside.

    Step 1: Find the initial wolf population.
    Initial wolf population, w = 7 (adult wolves) + 77 (cubs)
    w = 7 + 77
    w = 84 wolves

    Step 2: Find the number of wolves left after the migration to another forest.
    Number of wolves left after migration = Initial wolf population - Number of wolves migrated
    Number of wolves left after migration = 84 - 40
    Number of wolves left after migration = 44 wolves

    Step 3: Find the number of wolves left after the move to the mountainside.
    Number of wolves left after move = Number of wolves left after migration - Number of wolves moved
    Number of wolves left after move = 44 - 14
    Number of wolves left after move = 30 wolves

    Therefore, after 40 wolves migrated to another forest and 14 wolves moved to a mountainside, there are 30 wolves left in the forest.

    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

Problem: In the same forest, there were initially 7 adult wolves but this time, there were different number of cubs: 68 cubs instead of 77. As before, one winter, 40 wolves migrated to another forest. How many wolves are left in the forest now?

Claude-3 Sonnet:

    To solve this problem, we need to find the initial wolf population with the updated number of cubs and then subtract the number of wolves that migrated to another forest.

    Given information:
    - There are 7 adult wolves and 68 cubs in the forest.
    - The wolf population, denoted by w, is equal to 7 (adult wolves) + 68 (cubs).
    - 40 wolves migrated to another forest.

    Step 1: Find the initial wolf population with the updated number of cubs.
    Initial wolf population, w = 7 (adult wolves) + 68 (cubs)
    w = 7 + 68
    w = 75 wolves

    Step 2: Find the number of wolves left in the forest after migration.
    Number of wolves left = Initial wolf population - Number of wolves migrated
    Number of wolves left = 75 - 40
    Number of wolves left = 35 wolves

    Therefore, after 40 wolves migrated to another forest, there are 35 wolves left in the forest with the updated number of cubs.

    ### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: You have baked 75 cookies for an event. By the time you finish baking, you realize you have enough dough left to make 10 more cookies. How many cookies have you baked in total, including the 10 extras?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of cookies baked, including the initial 75 cookies and the additional 10 cookies.

    Given information:
    - You have baked 75 cookies initially.
    - You have enough dough left to make 10 more cookies.

    Step 1: Find the total number of cookies by adding the initial number of cookies and the additional cookies.
    Total number of cookies = Initial number of cookies + Additional cookies
    Total number of cookies = 75 + 10
    Total number of cookies = 85

    Therefore, you have baked a total of 85 cookies, including the 10 extras.

    ### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Follow-up

Problem: In the previous situation, you had made 75 cookies for an event. But what if initially, you had only baked 75 cookies, and then decided to bake an additional 4 cookies with the leftover dough. How many cookies would you have in total then?

Claude-3 Sonnet:

    In this situation, we need to find the total number of cookies baked, including the initial 75 cookies and the additional 4 cookies.

    Given information:
    - You have baked 75 cookies initially.
    - You decided to bake an additional 4 cookies with the leftover dough.

    Step 1: Find the total number of cookies by adding the initial number of cookies and the additional cookies.
    Total number of cookies = Initial number of cookies + Additional cookies
    Total number of cookies = 75 + 4
    Total number of cookies = 79

    Therefore, if you initially baked 75 cookies and then decided to bake an additional 4 cookies with the leftover dough, you would have a total of 79 cookies.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A carpenter needs to make some tables. He initially has 78 boards of wood but uses 73 to prepare for the construction. He later realizes he has 99 potential orders but the current boards of wood he has are not enough to meet this demand. How many additional boards does he need to perfectly meet all the orders?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the number of boards required for the 99 potential orders and the number of boards the carpenter currently has.

    Given information:
    - The carpenter initially had 78 boards of wood.
    - He used 73 boards to prepare for the construction.
    - He has 99 potential orders.

    Step 1: Find the number of boards the carpenter currently has.
    Number of boards currently available = Initial number of boards - Number of boards used
    Number of boards currently available = 78 - 73 = 5 boards

    Step 2: Assume that each order requires one board of wood.
    Number of boards required for 99 orders = 99 boards

    Step 3: Find the additional number of boards needed.
    Additional boards needed = Number of boards required for orders - Number of boards currently available
    Additional boards needed = 99 - 5 = 94 boards

    Therefore, the carpenter needs 94 additional boards of wood to perfectly meet all the 99 potential orders.

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, the carpenter decides to create smaller tables that only require one board of wood each. However, he realizes he can only afford to make 14 tables due to other limitations. With the current boards of wood he has, how many less tables will he be able to produce compared to his original ambition of making 14 tables?

Claude-3 Sonnet:

    In the previous problem, we found that the carpenter currently has 5 boards of wood available after using 73 boards for preparation and initially having 78 boards.

    Given information:
    - The carpenter currently has 5 boards of wood available.
    - He wants to make 14 tables, with each table requiring one board of wood.

    To find how many fewer tables he will be able to produce compared to his original ambition of making 14 tables, we need to subtract the number of boards he has from the number of tables he wants to make.

    Step 1: Find the number of tables the carpenter can make with the available boards.
    Number of tables he can make = Number of boards available
    Number of tables he can make = 5 tables

    Step 2: Find the difference between the number of tables he wants to make and the number of tables he can make.
    Fewer tables compared to his ambition = Number of tables he wants to make - Number of tables he can make
    Fewer tables compared to his ambition = 14 - 5 = 9 tables

    Therefore, the carpenter will be able to produce 9 fewer tables compared to his original ambition of making 14 tables due to the limited number of boards he currently has.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: One evening, a young astronomer counted 1 star in a small area of the sky. Then, he noticed that 5 more stars gradually became visible as his eyes adjusted to the darkness. After an hour, a meteor shower began and he spotted 28 more stars. How many stars did the astronomer see in total during that evening?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of stars the astronomer saw at different stages.

    Given information:
    - Initially, the astronomer counted 1 star.
    - After his eyes adjusted to the darkness, 5 more stars became visible.
    - During the meteor shower, he spotted 28 more stars.

    Step 1: Find the total number of stars the astronomer saw before the meteor shower.
    Number of stars initially + Number of stars after eyes adjusted to the darkness
    = 1 + 5
    = 6 stars

    Step 2: Find the total number of stars the astronomer saw during the entire evening.
    Total stars = Stars before meteor shower + Stars during meteor shower
    Total stars = 6 + 28
    Total stars = 34 stars

    Therefore, the astronomer saw a total of 34 stars during that evening.

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Follow-up

Problem: The young astronomer then noticed that a cloud drifted across the sky, temporarily covering 27 of the stars he had been observing. After the cloud passed, how many stars were left visible to him?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of stars that were not covered by the cloud.

    Given information:
    - The astronomer initially saw a total of 34 stars.
    - A cloud covered 27 of the stars he had been observing.

    Step 1: Find the number of stars that were not covered by the cloud.
    Total stars - Stars covered by the cloud = Stars left visible
    34 - 27 = 7 stars

    Therefore, after the cloud passed, 7 stars were left visible to the astronomer.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: It was David's birthday and he had 40 gifts in his room. Later in the day, his friends surprised him with 26 more gifts. How many gifts does David have in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of gifts David has after receiving the additional gifts from his friends.

    Given information:
    - David initially had 40 gifts in his room.
    - His friends surprised him with 26 more gifts.

    To find the total number of gifts, we need to add the initial number of gifts and the additional gifts received.

    Step 1: Find the total number of gifts.
    Total number of gifts = Initial number of gifts + Additional gifts received
    Total number of gifts = 40 + 26
    Total number of gifts = 66

    Therefore, David has a total of 66 gifts after receiving the additional gifts from his friends.

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Follow-up

Problem: After opening the gifts, David decided to donate some of them to a local charity. He kept 44 gifts and donated the rest. How many gifts did he donate?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of gifts David donated to the local charity.

    Given information:
    - David initially had a total of 66 gifts.
    - He kept 44 gifts for himself.

    To find the number of gifts he donated, we need to subtract the number of gifts he kept from the total number of gifts he had.

    Step 1: Find the number of gifts David donated.
    Number of gifts donated = Total number of gifts - Number of gifts kept
    Number of gifts donated = 66 - 44
    Number of gifts donated = 22

    Therefore, David donated 22 gifts to the local charity.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Follow-up

Problem: Let's say it was not David's birthday, but it was instead his friend Mark's birthday. Mark received initially 69 gifts. Later, his friends surprised him with the same amount of 26 more gifts which David received. How many gifts does Mark have in total now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of gifts Mark has after receiving the additional gifts from his friends.

    Given information:
    - Mark initially received 69 gifts.
    - His friends surprised him with 26 more gifts (the same number of additional gifts that David received).

    To find the total number of gifts, we need to add the initial number of gifts and the additional gifts received.

    Step 1: Find the total number of gifts.
    Total number of gifts = Initial number of gifts + Additional gifts received
    Total number of gifts = 69 + 26
    Total number of gifts = 95

    Therefore, Mark has a total of 95 gifts after receiving the additional 26 gifts from his friends.

    ### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Problem

Problem: An author is writing a mini novel. She managed to write 74 pages in the first session. Energized by the progress, she decides to write 16 more pages. How many pages has she written in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of pages the author has written by adding the number of pages written in the first session and the additional pages written in the second session.

    Given information:
    - The author wrote 74 pages in the first session.
    - The author decided to write 16 more pages in the second session.

    Step 1: Find the total number of pages written by adding the pages written in the first session and the additional pages written in the second session.
    Total pages written = Pages written in the first session + Additional pages written in the second session
    Total pages written = 74 + 16
    Total pages written = 90

    Therefore, the author has written a total of 90 pages for the mini novel.

    ### Answer: 90

Expected answer: 90

Correct? Yes

🔗 Follow-up

Problem: The author, after finishing her writing session, felt inspired and decided to add a one-page introduction to her mini novel. How many pages does the novel have now including the introduction?

Claude-3 Sonnet:

    Okay, let's break this down:
    * The author had already written 90 pages for the mini novel
    * She decided to add a one-page introduction

    To find the total number of pages now, we need to add the one-page introduction to the existing 90 pages.

    Total pages = Existing pages + Additional pages
    Total pages = 90 + 1
    Total pages = 91

    Therefore, with the addition of the one-page introduction, the mini novel now has 91 pages in total.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: After reflecting on her work, the author decides that she should have originally written 79 pages in the first session instead of 74. Keeping the additional 16 pages she wrote after, how many total pages of the novel does she have before adding the one-page introduction?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of pages the author has written, considering the updated number of pages written in the first session and the additional pages written in the second session.

    Given information:
    - The author originally wrote 74 pages in the first session, but she decides that she should have written 79 pages instead.
    - The author wrote an additional 16 pages in the second session.

    Step 1: Find the total number of pages written by adding the updated number of pages written in the first session and the additional pages written in the second session.
    Total pages written = Updated pages written in the first session + Additional pages written in the second session
    Total pages written = 79 + 16
    Total pages written = 95

    Therefore, before adding the one-page introduction, the author has a total of 95 pages for the novel.

    ### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Problem

Problem: In a large hotel, there are 60 rooms. The hotel decides to expand and add an additional 22 rooms. How many rooms does the hotel have after the expansion?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of rooms after the expansion by adding the number of existing rooms and the number of new rooms added.

    Given information:
    - The hotel initially has 60 rooms.
    - The hotel is adding 22 new rooms during the expansion.

    Step 1: Find the total number of rooms after the expansion.
    Total number of rooms after the expansion = Number of existing rooms + Number of new rooms added
    Total number of rooms after the expansion = 60 + 22
    Total number of rooms after the expansion = 82

    Therefore, after the expansion, the hotel will have 82 rooms.

    ### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Follow-up

Problem: After the initial expansion, the hotel owner plans to make an additional special expansion by adding more rooms, but less than the previous expansion. If the hotel owner added 11 rooms instead of 22 rooms during the first expansion, how many rooms would the hotel have after the first expansion?

Claude-3 Sonnet:

    Okay, let's break this down:
    * Initially, the hotel had 60 rooms
    * Instead of adding 22 rooms during the first expansion, the hotel owner added 11 rooms

    To find the total number of rooms after the first expansion, we need to add the initial number of rooms to the number of rooms added during the expansion.

    Given information:
    * Initial number of rooms = 60
    * Number of rooms added during the first expansion = 11

    Total number of rooms after the first expansion = Initial number of rooms + Number of rooms added
    Total number of rooms after the first expansion = 60 + 11
    Total number of rooms after the first expansion = 71

    Therefore, if the hotel owner added 11 rooms instead of 22 rooms during the first expansion, the hotel would have 71 rooms after the first expansion.

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Problem

Problem: There were 70 children in the park. Some of them left, leaving only 27 children. Later, 31 more kids left the park. How many children are left in the park now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of children who left the park initially, and then subtract the number of children who left later from the remaining children.

    Given information:
    - Initially, there were 70 children in the park.
    - After some children left, there were 27 children remaining.
    - Later, 31 more children left the park.

    Step 1: Find the number of children who left the park initially.
    Number of children who left initially = Total children - Remaining children
    Number of children who left initially = 70 - 27 = 43 children

    Step 2: Find the number of children remaining after 31 more children left the park.
    Number of children remaining = Remaining children after initial departure - Children who left later
    Number of children remaining = 27 - 31 = -4 children

    Since the number of children remaining cannot be negative, it means that all the remaining children left the park after the second group of 31 children left.

    Therefore, there are no children left in the park.

    ### Answer: 0

Expected answer: 12

Correct? No

🔗 Problem

Problem: In a beehive, there is a total of 48 bees. One day, 29 drones left the beehive for collecting pollen. How many bees are left in the beehive?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the total number of bees in the beehive and the number of drones that left the beehive.

    Given information:
    - There is a total of 48 bees in the beehive.
    - 29 drones left the beehive for collecting pollen.

    Step 1: Subtract the number of drones that left the beehive from the total number of bees.
    Number of bees left in the beehive = Total number of bees - Number of drones that left
    Number of bees left in the beehive = 48 - 29
    Number of bees left in the beehive = 19

    Therefore, 19 bees are left in the beehive.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Follow-up

Problem: Instead of the original total of 48 bees in the beehive, let's consider that initially there were 89 bees. Then 29 drone bees left for a pollen gathering mission. How many bees were left in the beehive after the drones departed in this case?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - Initially, there were 89 bees in the beehive.
    - 29 drones left the beehive for collecting pollen.

    To find the number of bees left in the beehive, we need to subtract the number of drones that left from the initial total number of bees.

    Step 1: Subtract the number of drones that left the beehive from the initial total number of bees.
    Number of bees left in the beehive = Initial total number of bees - Number of drones that left
    Number of bees left in the beehive = 89 - 29
    Number of bees left in the beehive = 60

    Therefore, with an initial total of 89 bees and 29 drones leaving for a pollen gathering mission, 60 bees were left in the beehive after the drones departed.

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: A school initially had 35 erasers. But after a few classes and some craft projects, 22 erasers got used up. How many erasers are left at the school?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of erasers and the number of erasers used up.

    Given information:
    - The school initially had 35 erasers.
    - 22 erasers got used up.

    Step 1: Find the number of erasers left at the school.
    Number of erasers left = Initial number of erasers - Number of erasers used up
    Number of erasers left = 35 - 22
    Number of erasers left = 13

    Therefore, there are 13 erasers left at the school.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: A school initially had 35 erasers. But after a few classes and some craft projects, 22 erasers got used up. How many erasers are left at the school? Then, a generous donor contributed an additional 39 erasers to the school. What is the total number of erasers at the school now?

Claude-3 Sonnet:

    Okay, let's solve this step-by-step:

    Given information:
    - The school initially had 35 erasers.
    - 22 erasers got used up.
    - A donor contributed an additional 39 erasers.

    Step 1: Find the number of erasers left at the school after 22 erasers were used up.
    Number of erasers left = Initial number of erasers - Number of erasers used up
    Number of erasers left = 35 - 22 = 13 erasers

    Step 2: Find the total number of erasers at the school after the donor's contribution.
    Total number of erasers = Number of erasers left + Number of erasers contributed
    Total number of erasers = 13 + 39 = 52 erasers

    Therefore, the total number of erasers at the school now is 52.

    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Follow-up

Problem: In the earlier scenario, the school initially had 35 erasers. But what if the school had originally started with 58 erasers instead? After a few classes and some craft projects, 22 erasers got used up. How many erasers would be left at the school in this case?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - The school initially had 58 erasers.
    - 22 erasers got used up.

    Step 1: Find the number of erasers left at the school.
    Number of erasers left = Initial number of erasers - Number of erasers used up
    Number of erasers left = 58 - 22
    Number of erasers left = 36

    Therefore, if the school initially had 58 erasers and 22 erasers got used up, there would be 36 erasers left at the school.

    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: There were 75 beds in a large hostel. Over time, 55 of them became old and were removed for refurbishment. How many beds are currently available in the hostel now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of beds remaining after the removal of the old beds.

    Given information:
    - There were initially 75 beds in the hostel.
    - 55 old beds were removed for refurbishment.

    Step 1: Find the number of beds remaining after the removal.
    Number of beds remaining = Total beds - Beds removed
    Number of beds remaining = 75 - 55
    Number of beds remaining = 20

    Therefore, there are currently 20 beds available in the hostel now.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: After the refurbishment, a generous sponsor donated an additional set of beds to the hostel. The number of these new beds plus the remaining beds equals the original number, 75. How many beds were donated by the sponsor?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of beds donated by the sponsor.

    Given information:
    - Initially, there were 75 beds in the hostel.
    - After removing 55 old beds, there were 20 beds remaining.
    - The number of new beds donated plus the remaining beds equals the original number of beds (75).

    Step 1: Find the number of new beds donated by the sponsor.
    Number of new beds donated + Number of remaining beds = Original number of beds
    Number of new beds donated + 20 = 75
    Number of new beds donated = 75 - 20
    Number of new beds donated = 55

    Therefore, the sponsor donated 55 new beds to the hostel.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Problem

Problem: On Monday, the speed of the wind was measured to be 71 kilometers per hour. The speed of the wind then decreased by 53 kilometers per hour. What was the speed of the wind after the decrease?

Claude-3 Sonnet:

    To solve this problem, we need to subtract the decrease in wind speed from the initial wind speed.

    Given information:
    - The initial speed of the wind on Monday was 71 kilometers per hour.
    - The speed of the wind decreased by 53 kilometers per hour.

    Step 1: Subtract the decrease in wind speed from the initial wind speed.
    Initial wind speed - Decrease in wind speed = New wind speed after the decrease
    71 kilometers per hour - 53 kilometers per hour = 18 kilometers per hour

    Therefore, the speed of the wind after the decrease was 18 kilometers per hour.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Instead of a decrease of 53 kilometers per hour, what would the speed of the wind have been if it had only decreased by 45 kilometers per hour?

Claude-3 Sonnet:

    Okay, let's recalculate the speed of the wind after the decrease, given that the decrease was 45 kilometers per hour instead of 53 kilometers per hour.

    Given information:
    - The initial speed of the wind on Monday was 71 kilometers per hour.
    - The speed of the wind decreased by 45 kilometers per hour.

    Step 1: Subtract the decrease in wind speed from the initial wind speed.
    Initial wind speed - Decrease in wind speed = New wind speed after the decrease
    71 kilometers per hour - 45 kilometers per hour = 26 kilometers per hour

    Therefore, if the speed of the wind had decreased by 45 kilometers per hour instead of 53 kilometers per hour, the speed of the wind after the decrease would have been 26 kilometers per hour.

    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Problem

Problem: Oliver has 18 oranges. He visits the orange grove and collects an additional 44 oranges. How many oranges does Oliver have now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of oranges Oliver has after collecting additional oranges from the orange grove.

    Given information:
    - Oliver initially has 18 oranges.
    - Oliver collects an additional 44 oranges from the orange grove.

    To find the total number of oranges, we need to add the initial number of oranges and the additional oranges collected.

    Total number of oranges = Initial number of oranges + Additional oranges collected
    Total number of oranges = 18 + 44
    Total number of oranges = 62

    Therefore, after collecting additional oranges from the orange grove, Oliver has 62 oranges.

    ### Answer: 62

Expected answer: 62

Correct? Yes

🔗 Follow-up

Problem: Oliver has 18 oranges. He visits the orange grove and collects an additional 44 oranges. Unfortunately, while trying to carry his oranges home, he loses 50 of them along the way. How many oranges does Oliver have left now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of oranges Oliver has left after losing some of them on the way home.

    Given information:
    - Oliver initially has 18 oranges.
    - Oliver collects an additional 44 oranges from the orange grove.
    - Oliver loses 50 oranges while carrying them home.

    Step 1: Find the total number of oranges Oliver had before losing some.
    Total number of oranges = Initial number of oranges + Additional oranges collected
    Total number of oranges = 18 + 44 = 62

    Step 2: Find the number of oranges Oliver has left after losing 50 oranges.
    Number of oranges left = Total number of oranges - Number of oranges lost
    Number of oranges left = 62 - 50 = 12

    Therefore, after losing 50 oranges on the way home, Oliver has 12 oranges left.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: Previously we considered a scenario where Oliver initially had 18 oranges. Now imagine if initially, Oliver had 36 oranges instead. He visits the same orange grove and collects an additional 44 oranges. How many oranges does Oliver have now?

Claude-3 Sonnet:

    In this new scenario, the initial number of oranges Oliver had is different, but the additional number of oranges collected from the orange grove remains the same.

    Given information:
    - Oliver initially has 36 oranges.
    - Oliver collects an additional 44 oranges from the orange grove.

    To find the total number of oranges, we need to add the initial number of oranges and the additional oranges collected.

    Total number of oranges = Initial number of oranges + Additional oranges collected
    Total number of oranges = 36 + 44
    Total number of oranges = 80

    Therefore, after collecting additional oranges from the orange grove, Oliver now has 80 oranges.

    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Problem

Problem: Tommy has a collection of 70 toy cars. One day, he decides to give 22 of his toy cars to his younger brother. How many toy cars does Tommy have left in his collection?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of toy cars Tommy has left after giving away 22 of them to his younger brother.

    Given information:
    - Tommy initially had a collection of 70 toy cars.
    - Tommy gave 22 toy cars to his younger brother.

    Step 1: Find the number of toy cars Tommy has left.
    Number of toy cars left = Initial number of toy cars - Number of toy cars given away
    Number of toy cars left = 70 - 22
    Number of toy cars left = 48

    Therefore, after giving away 22 toy cars to his younger brother, Tommy has 48 toy cars left in his collection.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: After giving 22 of his toy cars to his younger brother, Tommy visits a toy store and discovers a toy car that he must have. It costs 61 toy cars for a trade. Does Tommy have enough toy cars left to trade for the new one? If not, how many more does he need?

Claude-3 Sonnet:

    To solve this problem, we need to compare the number of toy cars Tommy has left with the number of toy cars required for the trade.

    Given information:
    - Tommy has 48 toy cars left after giving 22 to his younger brother.
    - The new toy car at the store requires 61 toy cars for a trade.

    Step 1: Check if Tommy has enough toy cars for the trade.
    Number of toy cars Tommy has left = 48
    Number of toy cars required for the trade = 61

    Since 48 is less than 61, Tommy does not have enough toy cars for the trade.

    Step 2: Find the number of additional toy cars Tommy needs for the trade.
    Additional toy cars needed = Number of toy cars required for the trade - Number of toy cars Tommy has left
    Additional toy cars needed = 61 - 48
    Additional toy cars needed = 13

    Therefore, Tommy does not have enough toy cars left to trade for the new one. He needs 13 more toy cars to complete the trade.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: Instead of giving 22 toy cars to his younger brother, Tommy decides to only give away 17 of his toy cars. How many toy cars does Tommy have left in his collection now?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - Tommy initially had a collection of 70 toy cars.
    - Tommy gave away 17 toy cars to his younger brother.

    Step 1: Find the number of toy cars Tommy has left.
    Number of toy cars left = Initial number of toy cars - Number of toy cars given away
    Number of toy cars left = 70 - 17
    Number of toy cars left = 53

    Therefore, after giving away 17 toy cars to his younger brother, Tommy has 53 toy cars left in his collection.

    ### Answer: 53

Expected answer: 53

Correct? Yes

🔗 Problem

Problem: The Strawberry farm was initially home to 87 Strawberry plants. However, some of them were affected by a disease and 41 plants were lost. Jacob added 8 new Strawberry plants more. How many Strawberry plants are there on the farm now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of strawberry plants remaining after the disease and then add the new plants that Jacob added.

    Given information:
    - Initially, there were 87 strawberry plants on the farm.
    - 41 plants were lost due to a disease.
    - Jacob added 8 new strawberry plants.

    Step 1: Find the number of strawberry plants remaining after the disease.
    Number of plants remaining = Initial number of plants - Number of plants lost
    Number of plants remaining = 87 - 41 = 46 plants

    Step 2: Find the total number of strawberry plants on the farm now.
    Total number of plants = Number of plants remaining + Number of new plants added
    Total number of plants = 46 + 8 = 54 plants

    Therefore, there are currently 54 strawberry plants on the farm.

    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: Revisiting the first scenario, suppose instead of 41, only 22 Strawberry plants were affected by the disease in the Strawberry farm originally home to 87 plants. Now, consider Jacob still adding 8 new Strawberry plants to the farm. How many Strawberry plants are there on the farm now?

Claude-3 Sonnet:

    Okay, let's revisit the first scenario with the new information.

    Given information:
    - Initially, there were 87 strawberry plants on the farm.
    - 22 plants were lost due to a disease.
    - Jacob added 8 new strawberry plants.

    Step 1: Find the number of strawberry plants remaining after the disease.
    Number of plants remaining = Initial number of plants - Number of plants lost
    Number of plants remaining = 87 - 22 = 65 plants

    Step 2: Find the total number of strawberry plants on the farm now.
    Total number of plants = Number of plants remaining + Number of new plants added
    Total number of plants = 65 + 8 = 73 plants

    Therefore, there are currently 73 strawberry plants on the farm.

    ### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Problem

Problem: A scientist discovered a new dinosaur species. He found 34 of them. Soon after, he found another group of the same kind of dinosaurs that also had 34. How many dinosaurs of this new species did the scientist find in total?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of dinosaurs found in the first group and the second group.

    Given information:
    - The scientist found 34 dinosaurs of a new species in the first group.
    - The scientist found another group of the same kind of dinosaurs with 34 dinosaurs.

    Step 1: Find the total number of dinosaurs by adding the number of dinosaurs in the first group and the second group.
    Total number of dinosaurs = Number of dinosaurs in the first group + Number of dinosaurs in the second group
    Total number of dinosaurs = 34 + 34
    Total number of dinosaurs = 68

    Therefore, the scientist found a total of 68 dinosaurs of the new species.

    ### Answer: 68

Expected answer: 68

Correct? Yes

🔗 Follow-up

Problem: After discovering the initial groups of the new dinosaur species, the scientist found an additional nest. There were 6 more dinosaurs in this nest. How many dinosaurs of this new species has the scientist found in total now?

Claude-3 Sonnet:

    Okay, let's break this down:
    * Initially, the scientist found 34 dinosaurs of the new species
    * Then, he found another group of 34 dinosaurs of the same species
    * So far, he has found 34 + 34 = 68 dinosaurs of this species
    * Now, he has found an additional nest with 6 more dinosaurs of the same species

    To find the total number of dinosaurs he has found, we need to add the 6 new dinosaurs to the previous total:

    * Previous total: 68 dinosaurs
    * Additional dinosaurs found: 6
    * New total = 68 + 6 = 74

    Therefore, after finding the additional nest, the scientist has found a total of 74 dinosaurs of this new species.

    ### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, the scientist initially discovered groups of 34 dinosaurs each. Now consider the scenario where instead of finding 34 in each group, the scientist found 37 dinosaurs in each group. How many dinosaurs of this new species would the scientist have found in total in this case?

Claude-3 Sonnet:

    In this scenario, the scientist found two groups of dinosaurs, with each group containing 37 dinosaurs.

    Given information:
    - The scientist found 37 dinosaurs in the first group.
    - The scientist found another group with 37 dinosaurs of the same species.

    To find the total number of dinosaurs, we need to add the number of dinosaurs in both groups.

    Step 1: Find the total number of dinosaurs by adding the number of dinosaurs in the first group and the second group.
    Total number of dinosaurs = Number of dinosaurs in the first group + Number of dinosaurs in the second group
    Total number of dinosaurs = 37 + 37
    Total number of dinosaurs = 74

    Therefore, if the scientist found 37 dinosaurs in each group, the total number of dinosaurs of the new species found would be 74.

    ### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Problem

Problem: The beach had 82 brightly colored balls spread around today. As the day ended, 28 balls were lost or damaged leaving a certain number intact. How many beach balls are remaining, undamaged?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of beach balls that were not lost or damaged.

    Given information:
    - There were 82 brightly colored balls at the beach initially.
    - 28 balls were lost or damaged.

    Step 1: Find the number of balls that were not lost or damaged.
    Number of balls not lost or damaged = Total number of balls - Number of balls lost or damaged
    Number of balls not lost or damaged = 82 - 28
    Number of balls not lost or damaged = 54

    Therefore, 54 beach balls are remaining and undamaged.

    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: The initial count of beach balls might have been a little off. It turns out that the number of lost or damaged balls was not 28 but actually 60. If that is the case, how many beach balls would be left undamaged on the beach?

Claude-3 Sonnet:

    Okay, let's recalculate with the updated information.

    Given information:
    - There were 82 brightly colored balls at the beach initially.
    - 60 balls were lost or damaged.

    Step 1: Find the number of balls that were not lost or damaged.
    Number of balls not lost or damaged = Total number of balls - Number of balls lost or damaged
    Number of balls not lost or damaged = 82 - 60
    Number of balls not lost or damaged = 22

    Therefore, 22 beach balls are remaining and undamaged.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: A wizard has collected 53 magical artifacts over his lifetime. He decides to give out some of them to apprentice wizards. If he gives out 12 artifacts, how many will he have left?

Claude-3 Sonnet:

    To solve this problem, we need to subtract the number of artifacts the wizard gives out from the total number of artifacts he has collected.

    Given information:
    - The wizard has collected 53 magical artifacts.
    - The wizard gives out 12 artifacts to apprentice wizards.

    Step 1: Subtract the number of artifacts given out from the total number of artifacts.
    Number of artifacts left = Total number of artifacts - Number of artifacts given out
    Number of artifacts left = 53 - 12

    Step 2: Calculate the final answer.
    Number of artifacts left = 53 - 12
    Number of artifacts left = 41

    Therefore, after giving out 12 artifacts, the wizard will have 41 magical artifacts left.

    ### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Follow-up

Problem: After giving out 12 artifacts to apprentice wizards, the wizard discovers a hidden chamber in his magical lair, revealing an additional 4 artifacts he had forgotten about. How many artifacts does he have now?

Claude-3 Sonnet:

    Okay, let's break this down:
    * Initially, the wizard had 53 magical artifacts
    * He gave out 12 artifacts to apprentice wizards
    * So, he had 53 - 12 = 41 artifacts left
    * Then, he discovered a hidden chamber with 4 more artifacts

    To find the total number of artifacts he has now, we need to add the newly discovered artifacts to the remaining artifacts he had.

    Number of artifacts after discovering the hidden chamber = Remaining artifacts + Newly discovered artifacts
    Number of artifacts after discovering the hidden chamber = 41 + 4
    Number of artifacts after discovering the hidden chamber = 45

    Therefore, after giving out 12 artifacts and discovering 4 more artifacts in the hidden chamber, the wizard now has a total of 45 magical artifacts.

    ### Answer: 45

Expected answer: 45

Correct? Yes

🔗 Follow-up

Problem: In the hidden chamber he found, the wizard initially thought there were 15 artifacts. However, they were stacked haphazardly, and upon recounting, he realized he made a mistake and there were actually 12 artifacts, not 15. How many fewer artifacts were there in the hidden chamber than he initially thought?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial count of artifacts and the actual count of artifacts.

    Given information:
    - The wizard initially thought there were 15 artifacts in the hidden chamber.
    - After recounting, the wizard realized there were actually 12 artifacts.

    Step 1: Find the difference between the initial count and the actual count.
    Difference in the number of artifacts = Initial count - Actual count
    Difference in the number of artifacts = 15 - 12

    Step 2: Calculate the final answer.
    Difference in the number of artifacts = 15 - 12
    Difference in the number of artifacts = 3

    Therefore, there were 3 fewer artifacts in the hidden chamber than the wizard initially thought.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Maria has a box that used to contain 68 rings. One day, she lost some of the rings and now there are only 26 rings remaining in the box. How many rings did Maria lose?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of rings and the remaining number of rings.

    Given information:
    - The box initially contained 68 rings.
    - There are now 26 rings remaining in the box.

    Step 1: Find the number of rings Maria lost.
    Number of rings lost = Initial number of rings - Remaining number of rings
    Number of rings lost = 68 - 26
    Number of rings lost = 42

    Therefore, Maria lost 42 rings.

    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Problem

Problem: The moon is 40 light years away from an alien planet. A spaceship travels 18 light years towards the moon. How many light years is it now from the moon?

Claude-3 Sonnet:

    To solve this problem, we need to find the distance between the spaceship and the moon after the spaceship has traveled 18 light years towards the moon.

    Given information:
    - The moon is 40 light years away from the alien planet.
    - The spaceship travels 18 light years towards the moon.

    Since the spaceship is traveling towards the moon, the distance between the spaceship and the moon decreases.

    Distance between the spaceship and the moon = Initial distance between the alien planet and the moon - Distance traveled by the spaceship
    Distance between the spaceship and the moon = 40 light years - 18 light years
    Distance between the spaceship and the moon = 22 light years

    Therefore, after traveling 18 light years towards the moon, the spaceship is now 22 light years away from the moon.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Follow-up

Problem: The space agency decides that in a hypothetical scenario, the moon was actually only 27 light years away from the alien planet. If the spaceship still traveled 18 light years towards the moon in this scenario, how many light years would it be from the moon then?

Claude-3 Sonnet:

    In this hypothetical scenario, the given information is:
    - The moon is 27 light years away from the alien planet.
    - The spaceship travels 18 light years towards the moon.

    To find the distance between the spaceship and the moon after traveling 18 light years, we need to subtract the distance traveled by the spaceship from the initial distance between the alien planet and the moon.

    Distance between the spaceship and the moon = Initial distance between the alien planet and the moon - Distance traveled by the spaceship
    Distance between the spaceship and the moon = 27 light years - 18 light years
    Distance between the spaceship and the moon = 9 light years

    Therefore, in the hypothetical scenario where the moon is 27 light years away from the alien planet, and the spaceship travels 18 light years towards the moon, the spaceship would be 9 light years away from the moon.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: At a window factory, there are 41 windows made in the morning. But 21 of them were found to be defective and had to be discarded. How many windows are left in the end?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of non-defective windows by subtracting the number of defective windows from the total number of windows made in the morning.

    Given information:
    - Total number of windows made in the morning = 41
    - Number of defective windows = 21

    Step 1: Subtract the number of defective windows from the total number of windows made.
    Number of non-defective windows = Total number of windows - Number of defective windows
    Number of non-defective windows = 41 - 21
    Number of non-defective windows = 20

    Therefore, there are 20 windows left in the end.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: The window factory who earlier made 41 windows, out of which 21 were defective, received an urgent order for 86 windows. After using the windows they had left, how many more windows does the factory need to produce to fulfill the order?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of windows the factory has left after discarding the defective ones, and then subtract it from the urgent order of 86 windows.

    Given information:
    - Total number of windows made earlier = 41
    - Number of defective windows = 21
    - Urgent order for windows = 86

    Step 1: Find the number of non-defective windows left from the earlier production.
    Number of non-defective windows = Total number of windows - Number of defective windows
    Number of non-defective windows = 41 - 21 = 20

    Step 2: Subtract the number of non-defective windows from the urgent order to find the remaining windows needed.
    Remaining windows needed = Urgent order - Number of non-defective windows
    Remaining windows needed = 86 - 20 = 66

    Therefore, the factory needs to produce 66 more windows to fulfill the urgent order.

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Follow-up

Problem: In the previous situation, the window factory had originally made 76 windows instead of 41. After discarding the defective ones as before, how many windows would be left now?

Claude-3 Sonnet:

    In this updated scenario, we have the following information:

    Given:
    - Total number of windows made in the morning = 76
    - Number of defective windows = 21 (same as before)

    To find the number of non-defective windows left, we need to subtract the number of defective windows from the total number of windows made.

    Step 1: Subtract the number of defective windows from the total number of windows made.
    Number of non-defective windows = Total number of windows - Number of defective windows
    Number of non-defective windows = 76 - 21
    Number of non-defective windows = 55

    Therefore, if the window factory had originally made 76 windows and discarded 21 defective ones, there would be 55 windows left.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Problem

Problem: A gardener has 88 beautiful roses in the garden. One morning, he finds that some of them are missing and now there are only 84 roses left. How many of the roses are missing from the garden?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of roses and the remaining number of roses.

    Given information:
    - The gardener initially had 88 roses in the garden.
    - After some roses went missing, there are now 84 roses left.

    Step 1: Find the number of roses that are missing.
    Number of roses missing = Initial number of roses - Remaining number of roses
    Number of roses missing = 88 - 84
    Number of roses missing = 4

    Therefore, 4 roses are missing from the garden.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: In the same garden, the gardener later checked his dahlias. Initially there were 88 dahlias but then he found that some daisies were missing as well, leaving only 75 dahlias left in the garden. How many dahlias are missing from the garden?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of dahlias and the remaining number of dahlias.

    Given information:
    - The gardener initially had 88 dahlias in the garden.
    - After some dahlias went missing, there are now 75 dahlias left.

    Step 1: Find the number of dahlias that are missing.
    Number of dahlias missing = Initial number of dahlias - Remaining number of dahlias
    Number of dahlias missing = 88 - 75
    Number of dahlias missing = 13

    Therefore, 13 dahlias are missing from the garden.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Problem

Problem: A helicopter piloting school has 19 students to start with. The school enrolls an equal number of new students during the next intake. How many students are there in the school now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of new students enrolled and then add it to the initial number of students.

    Given information:
    - The school initially has 19 students.
    - The school enrolls an equal number of new students during the next intake.

    Let's represent the number of new students enrolled as x.

    Since the school enrolls an equal number of new students, we can write:
    x = 19 (the number of new students is equal to the initial number of students)

    Therefore, the total number of students in the school now is:
    Total number of students = Initial number of students + Number of new students
    Total number of students = 19 + x
    Total number of students = 19 + 19
    Total number of students = 38

    ### Answer: 38

Expected answer: 38

Correct? Yes

🔗 Follow-up

Problem: As a follow-up, the helicopter piloting school had initially wanted to enroll a total of 93 students. However, after enrolling the new batch, they are short of some students. How many more students does the school need to reach its target of 93 students?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the target number of students and the current number of students in the school.

    Given information:
    - The school initially had 19 students.
    - The school enrolled an equal number of new students, which is also 19.
    - The current number of students in the school is 19 + 19 = 38.
    - The school's target is to have 93 students.

    To find the number of additional students needed, we subtract the current number of students from the target number of students.

    Number of additional students needed = Target number of students - Current number of students
    Number of additional students needed = 93 - 38
    Number of additional students needed = 55

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: As a follow-up, let's change the initial number of students at the helicopter piloting school. Instead of 19 students, what if we started with 30 students and enrolled an equal number of new students during the next intake? In this scenario, how many students would there be in the school now?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - The school initially has 30 students.
    - The school enrolls an equal number of new students during the next intake.

    Let's represent the number of new students enrolled as x.

    Since the school enrolls an equal number of new students, we can write:
    x = 30 (the number of new students is equal to the initial number of students)

    Therefore, the total number of students in the school now is:
    Total number of students = Initial number of students + Number of new students
    Total number of students = 30 + x
    Total number of students = 30 + 30
    Total number of students = 60

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: In a field, there are 25 bees on the roses and another 25 bees on the daisies. Meanwhile, in a nearby cluster of trees, there are 53 bees in total. After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster. How many bees are left in the cluster of trees after some time?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of bees in the field and then subtract it from the original number of bees in the cluster of trees.

    Given information:
    - There are 25 bees on the roses in the field.
    - There are 25 bees on the daisies in the field.
    - There are 53 bees in the cluster of trees initially.
    - After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster.

    Step 1: Find the total number of bees in the field.
    Number of bees on the roses + Number of bees on the daisies = Total number of bees in the field
    25 + 25 = 50 bees in the field

    Step 2: Find the number of bees left in the cluster of trees after some time.
    Original number of bees in the cluster of trees - Total number of bees in the field = Number of bees left in the cluster of trees
    53 - 50 = 3 bees left in the cluster of trees

    Therefore, after some time, there are 3 bees left in the cluster of trees.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Let's revisit the previous situation where bees were settling in a cluster of trees. Suppose we made a mistake earlier and wrongly counted the bees. In fact, originally, there were 72 bees in the cluster of trees. Now, similar to the previous situation, after some time, the number of bees in the cluster of trees equals the number of bees from the roses and daisies subtracted from this correct number in the cluster. Given this correction, how many bees are now left in the cluster of trees?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of bees in the field and then subtract it from the corrected original number of bees in the cluster of trees.

    Given information:
    - There are 25 bees on the roses in the field.
    - There are 25 bees on the daisies in the field.
    - There are 72 bees in the cluster of trees initially (corrected number).
    - After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster.

    Step 1: Find the total number of bees in the field.
    Number of bees on the roses + Number of bees on the daisies = Total number of bees in the field
    25 + 25 = 50 bees in the field

    Step 2: Find the number of bees left in the cluster of trees after some time.
    Corrected original number of bees in the cluster of trees - Total number of bees in the field = Number of bees left in the cluster of trees
    72 - 50 = 22 bees left in the cluster of trees

    Therefore, after some time, there are 22 bees left in the cluster of trees.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: Sam has a total of 58 keys on his piano, but 33 of them are broken and can't be used. He finds a way to fix some keys and adds 14 more functional keys to his piano. How many keys on the piano can Sam play after he adds the new ones?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of keys that were initially working and then add the 14 new functional keys to it.

    Given information:
    - Sam has a total of 58 keys on his piano.
    - 33 keys are broken and cannot be used.
    - Sam adds 14 more functional keys to his piano.

    Step 1: Find the number of keys that were initially working.
    Total keys - Broken keys = Initially working keys
    58 - 33 = 25 keys

    Step 2: Add the new functional keys to the initially working keys.
    Initially working keys + New functional keys = Total functional keys after adding new ones
    25 + 14 = 39 keys

    Therefore, after adding the new keys, Sam can play 39 keys on his piano.

    ### Answer: 39

Expected answer: 39

Correct? Yes

🔗 Follow-up

Problem: After adding the new keys and playing for a while, Sam decides to expand his music repertoire and needs to play some songs which require a total of 56 keys. How many more keys does he need to fix on his piano in order to play these songs?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the number of keys required to play the new songs and the number of functional keys Sam currently has on his piano.

    Given information:
    - Sam currently has 39 functional keys on his piano after adding the new keys.
    - He needs to play songs that require a total of 56 keys.

    Step 1: Find the difference between the required number of keys and the current number of functional keys.
    Required number of keys - Current number of functional keys = Additional keys needed
    56 - 39 = 17 keys

    Therefore, Sam needs to fix 17 more keys on his piano to be able to play the songs that require a total of 56 keys.

    ### Answer: 17

Expected answer: 17

Correct? Yes

🔗 Problem

Problem: A manufacturer produces 52 binoculars. Unfortunately, due to a production error, 27 binoculars were defective and had to be removed from the stock. The manufacturer managed to produce the same number of binoculars the next day to make up for the losses. After this production, how many binoculars does the manufacturer have now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of non-defective binoculars from the first production and add it to the number of binoculars produced on the second day.

    Given information:
    - The manufacturer initially produced 52 binoculars.
    - 27 binoculars were defective and had to be removed from the stock.
    - The manufacturer produced the same number of binoculars the next day as the non-defective binoculars from the first production.

    Step 1: Find the number of non-defective binoculars from the first production.
    Total binoculars produced - Defective binoculars = Non-defective binoculars
    52 - 27 = 25 non-defective binoculars

    Step 2: Find the number of binoculars produced on the second day.
    Number of binoculars produced on the second day = Number of non-defective binoculars from the first production
    Number of binoculars produced on the second day = 25 binoculars

    Step 3: Find the total number of binoculars the manufacturer has now.
    Total binoculars = Non-defective binoculars from the first production + Binoculars produced on the second day
    Total binoculars = 25 + 25 = 50 binoculars

    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: Continuing the previous scenario, let's imagine a different situation. If originally, the manufacturer had 52 binoculars, but this time only 13 were defective and had to be removed from the stock. The manufacturer maintains their commitment to compensate for defects by producing the same number of binoculars the next day. Now, how many binoculars does the manufacturer have in this case?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - The manufacturer initially produced 52 binoculars.
    - 13 binoculars were defective and had to be removed from the stock.
    - The manufacturer produced the same number of binoculars the next day as the non-defective binoculars from the first production.

    Step 1: Find the number of non-defective binoculars from the first production.
    Total binoculars produced - Defective binoculars = Non-defective binoculars
    52 - 13 = 39 non-defective binoculars

    Step 2: Find the number of binoculars produced on the second day.
    Number of binoculars produced on the second day = Number of non-defective binoculars from the first production
    Number of binoculars produced on the second day = 39 binoculars

    Step 3: Find the total number of binoculars the manufacturer has now.
    Total binoculars = Non-defective binoculars from the first production + Binoculars produced on the second day
    Total binoculars = 39 + 39 = 78 binoculars

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A truck with a capacity to carry 93 oranges just got a delivery request from a local grocery store. On its way, it dropped 46 oranges due to a small hole in the storage. How many oranges does the truck have now to deliver to the grocery store?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of oranges in the truck and the number of oranges that fell out due to the hole.

    Given information:
    - The truck has a capacity to carry 93 oranges.
    - The truck dropped 46 oranges due to a small hole in the storage.

    Step 1: Find the number of oranges remaining in the truck after the drop.
    Number of oranges remaining = Initial number of oranges - Number of oranges dropped
    Number of oranges remaining = 93 - 46
    Number of oranges remaining = 47

    Therefore, the truck has 47 oranges left to deliver to the grocery store.

    ### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Follow-up

Problem: The truck originally had a capacity to carry 95 oranges instead of 93. Just like earlier, it dropped 46 oranges due to the storage hole. In this case, how many oranges does the truck have now to deliver to the grocery store?

Claude-3 Sonnet:

    Okay, let's recalculate with the updated information.

    Given information:
    - The truck originally had a capacity to carry 95 oranges.
    - The truck dropped 46 oranges due to a small hole in the storage.

    Step 1: Find the number of oranges remaining in the truck after the drop.
    Number of oranges remaining = Initial number of oranges - Number of oranges dropped
    Number of oranges remaining = 95 - 46
    Number of oranges remaining = 49

    Therefore, with the updated capacity of 95 oranges, and after dropping 46 oranges, the truck now has 49 oranges left to deliver to the grocery store.

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: A sunglasses store has 68 pairs of sunglasses on display. After a busy day, the store manager realizes that 1 pair has been sold. How many pairs of sunglasses are there left on display at the end of the day?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of pairs of sunglasses remaining after one pair was sold.

    Given information:
    - The sunglasses store initially had 68 pairs of sunglasses on display.
    - After a busy day, 1 pair of sunglasses was sold.

    To find the number of pairs remaining, we need to subtract the number of pairs sold from the initial number of pairs.

    Number of pairs remaining = Initial number of pairs - Number of pairs sold
    Number of pairs remaining = 68 - 1
    Number of pairs remaining = 67

    Therefore, there are 67 pairs of sunglasses left on display at the end of the day.

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Follow-up

Problem: Following up from the previous scenario, a new sunglasses store opened, which initially had 41 pairs of sunglasses on display. After the first day, the store manager realizes that just like in the other store, 1 pair has been sold. Considering the new inventory, how many pairs of sunglasses are left on display at this store at the end of its first day?

Claude-3 Sonnet:

    In this problem, we need to find the number of pairs of sunglasses remaining on display at the new store after one pair was sold on the first day.

    Given information:
    - The new sunglasses store initially had 41 pairs of sunglasses on display.
    - After the first day, 1 pair of sunglasses was sold.

    To find the number of pairs remaining, we need to subtract the number of pairs sold from the initial number of pairs.

    Number of pairs remaining = Initial number of pairs - Number of pairs sold
    Number of pairs remaining = 41 - 1
    Number of pairs remaining = 40

    Therefore, there are 40 pairs of sunglasses left on display at the new store at the end of its first day.

    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: In a toy shop, there are 46 stuffed animals on display. The shop owner decides to add 35 more stuffed animals to the display from his storage. How many stuffed animals are on display after the shop owner adds the new ones?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of stuffed animals on display after adding the new ones.

    Given information:
    - There are initially 46 stuffed animals on display.
    - The shop owner adds 35 more stuffed animals from storage.

    To find the total number of stuffed animals on display after adding the new ones, we need to add the initial number of stuffed animals and the number of new stuffed animals added.

    Total number of stuffed animals on display = Initial number of stuffed animals + Number of new stuffed animals added
    Total number of stuffed animals on display = 46 + 35
    Total number of stuffed animals on display = 81

    Therefore, after adding the new stuffed animals, there are 81 stuffed animals on display in the toy shop.

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: In the same toy shop scenario, imagine that initially, there were only 23 stuffed animals on display, and the shop owner still adds 35 more from his storage. In this case, how many stuffed animals are on display after the shop owner adds the new ones?

Claude-3 Sonnet:

    In this case, we have the following information:

    Given:
    - Initially, there were 23 stuffed animals on display.
    - The shop owner adds 35 more stuffed animals from storage.

    To find the total number of stuffed animals on display after adding the new ones, we need to add the initial number of stuffed animals and the number of new stuffed animals added.

    Total number of stuffed animals on display = Initial number of stuffed animals + Number of new stuffed animals added
    Total number of stuffed animals on display = 23 + 35
    Total number of stuffed animals on display = 58

    Therefore, after adding the 35 new stuffed animals from storage, there are 58 stuffed animals on display in the toy shop.

    ### Answer: 58

Expected answer: 58

Correct? Yes

🔗 Problem

Problem: A kite festival has a total of 48 small kites and 32 large kites. If there were initially 91 kites available, how many kites were sold before the festival started?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of kites available initially and then subtract the number of small and large kites remaining.

    Given information:
    - There are 48 small kites remaining.
    - There are 32 large kites remaining.
    - Initially, there were 91 kites available.

    Step 1: Find the total number of kites remaining.
    Total kites remaining = Number of small kites + Number of large kites
    Total kites remaining = 48 + 32 = 80 kites

    Step 2: Find the number of kites sold before the festival started.
    Number of kites sold = Initial number of kites - Total kites remaining
    Number of kites sold = 91 - 80 = 11 kites

    Therefore, 11 kites were sold before the festival started.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: In continuation of the previous problem, let's say there was another booth selling kites at the festival. Initially, they had 59 kites. After the festival started, they observed that they had sold the same number of kites as the number of kites remaining from the initial batch of 91 kites. How many kites did the second booth have left after these sales?

Claude-3 Sonnet:

    In this problem, we need to find the number of kites the second booth had left after selling the same number of kites as the number of kites remaining from the initial batch of 91 kites.

    Given information:
    - The second booth initially had 59 kites.
    - The number of kites sold by the second booth is equal to the number of kites remaining from the initial batch of 91 kites.
    - From the previous problem, we know that the number of kites remaining from the initial batch of 91 kites is 80.

    Step 1: Find the number of kites sold by the second booth.
    Number of kites sold by the second booth = Number of kites remaining from the initial batch of 91 kites
    Number of kites sold by the second booth = 80 kites

    Step 2: Find the number of kites left at the second booth after the sales.
    Number of kites left at the second booth = Initial number of kites - Number of kites sold
    Number of kites left at the second booth = 59 - 80 = -21 kites

    The negative value indicates that the second booth sold more kites than they initially had, which is not possible.

    Therefore, the second booth must have sold all their 59 kites, and they had no kites left after the sales.

    ### Answer: 0

Expected answer: 48

Correct? No

🔗 Follow-up

Problem: In a slight change to the previous scenario, suppose that the kite festival actually started with 24 small kites and the same number of large kites, 32, as before. Given that there was still a total of 91 kites initially, how many kites were sold before the festival started now?

Claude-3 Sonnet:

    In this scenario, we have the following information:
    - There are 24 small kites remaining.
    - There are 32 large kites remaining.
    - Initially, there were 91 kites available.

    Step 1: Find the total number of kites remaining.
    Total kites remaining = Number of small kites + Number of large kites
    Total kites remaining = 24 + 32 = 56 kites

    Step 2: Find the number of kites sold before the festival started.
    Number of kites sold = Initial number of kites - Total kites remaining
    Number of kites sold = 91 - 56 = 35 kites

    Therefore, 35 kites were sold before the festival started.

    ### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: A pirate buries his treasure chest which is 99 paces from the entrance of the cove. After a year, the pirate comes back and finds that due to sudden geologic changes, the cove's entrance moved 32 paces closer to the treasure. How many paces does the pirate now need to walk to reach his treasure?

Claude-3 Sonnet:

    To solve this problem, we need to find the new distance between the pirate and the treasure after the cove's entrance moved closer.

    Given information:
    - Initially, the treasure chest was 99 paces from the entrance of the cove.
    - After a year, the cove's entrance moved 32 paces closer to the treasure.

    Step 1: Find the new distance between the treasure and the cove's entrance.
    Initial distance - Distance the cove's entrance moved closer = New distance
    99 paces - 32 paces = 67 paces

    Therefore, the pirate now needs to walk 67 paces to reach his treasure.

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, the pirate realized his treasure was 'g' paces away from the cove's entrance after the geologic changes. But, what if the geologic shift wasn't as dramatic and it only brought the cove's entrance 26 paces closer instead of 32 paces to his buried treasure? How many paces would the pirate now need to walk from the cove's entrance to reach his treasure?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - Initially, the treasure chest was 99 paces from the entrance of the cove.
    - After a year, the cove's entrance moved 26 paces closer to the treasure (instead of 32 paces).

    Step 1: Find the new distance between the treasure and the cove's entrance.
    Initial distance - Distance the cove's entrance moved closer = New distance
    99 paces - 26 paces = 73 paces

    Therefore, if the geologic shift brought the cove's entrance 26 paces closer to the buried treasure, the pirate would now need to walk 73 paces from the cove's entrance to reach his treasure.

    ### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Problem

Problem: There are 37 red marbles in a bag and 44 blue marbles in another bag. How many marbles are there in total if you combine the two bags?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of marbles by adding the number of red marbles and the number of blue marbles.

    Given information:
    - There are 37 red marbles in one bag.
    - There are 44 blue marbles in another bag.

    Step 1: Find the total number of marbles by adding the number of red marbles and the number of blue marbles.
    Total number of marbles = Number of red marbles + Number of blue marbles
    Total number of marbles = 37 + 44
    Total number of marbles = 81

    Therefore, if we combine the two bags, there will be a total of 81 marbles.

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: In the same bags of marbles mentioned before, imagine if instead there were 10 red marbles while keeping the count of the blue marbles same which was 44. Now, how many marbles would there be in total if you combine the two bags?

Claude-3 Sonnet:

    Okay, let's solve this problem step-by-step:

    Given information:
    - There are 10 red marbles in one bag.
    - There are 44 blue marbles in another bag.

    To find the total number of marbles, we need to add the number of red marbles and the number of blue marbles.

    Step 1: Find the total number of marbles by adding the number of red marbles and the number of blue marbles.
    Total number of marbles = Number of red marbles + Number of blue marbles
    Total number of marbles = 10 + 44
    Total number of marbles = 54

    Therefore, if we combine the two bags, where one bag has 10 red marbles and the other bag has 44 blue marbles, there will be a total of 54 marbles.

    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: A jeweler had 90 rings in their inventory. They sold 25 rings in the morning. In the afternoon, they realized their inventory was 92 rings short of their target for the day. How many rings are they short right now for reaching their target?

Claude-3 Sonnet:

    To solve this problem, we need to find the target number of rings the jeweler wants to have in their inventory and then subtract the current number of rings from the target.

    Given information:
    - The jeweler initially had 90 rings in their inventory.
    - They sold 25 rings in the morning.
    - In the afternoon, they realized their inventory was 92 rings short of their target for the day.

    Step 1: Find the number of rings left after selling 25 rings in the morning.
    Initial number of rings - Rings sold in the morning = Rings left after morning
    90 - 25 = 65 rings

    Step 2: Find the target number of rings for the day.
    Rings left after morning + Shortage of rings from the target = Target number of rings
    65 + 92 = 157 rings

    Step 3: Find the current shortage of rings from the target.
    Target number of rings - Rings left after morning = Current shortage of rings
    157 - 65 = 92 rings

    Therefore, the jeweler is currently short of 92 rings to reach their target for the day.

    ### Answer: 92

Expected answer: 27

Correct? No

🔗 Problem

Problem: There are 77 cows standing in a field in Farmer John's farm. Farmer John's neighbor Nancy brings over 19 more cows to graze. How many cows are there in total?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of cows initially in the field with the number of cows brought by Nancy.

    Given information:
    - There are 77 cows standing in the field initially.
    - Nancy brings over 19 more cows to graze.

    Step 1: Add the number of cows initially in the field with the number of cows brought by Nancy.
    Number of cows initially in the field + Number of cows brought by Nancy = Total number of cows
    77 + 19 = 96

    Therefore, there are 96 cows in total in the field after Nancy brings over her cows.

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of the original 77 cows, Farmer John only had 39 cows in his field initially. If neighboring farmer Nancy still brings over her 19 cows to join them, how many cows would there be in total?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - Farmer John initially had 39 cows in his field.
    - Nancy brings over 19 more cows to join them.

    To find the total number of cows, we need to add the number of cows Farmer John initially had with the number of cows Nancy brought.

    Step 1: Add the number of cows Farmer John initially had with the number of cows Nancy brought.
    Number of cows Farmer John initially had + Number of cows Nancy brought = Total number of cows
    39 + 19 = 58

    Therefore, there would be a total of 58 cows in the field after Nancy brings over her 19 cows to join Farmer John's 39 cows.

    ### Answer: 58

Expected answer: 58

Correct? Yes

🔗 Problem

Problem: In a beautiful African reserve, there live a certain number of giraffes. In one part of the reserve, you can find 54 giraffes. On the other side of the reserve, there are 40 giraffes. How many giraffes are there in total in the reserve?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of giraffes in the two parts of the reserve.

    Given information:
    - In one part of the reserve, there are 54 giraffes.
    - On the other side of the reserve, there are 40 giraffes.

    To find the total number of giraffes in the reserve, we add the number of giraffes in the two parts.

    Total number of giraffes = Number of giraffes in one part + Number of giraffes on the other side
    Total number of giraffes = 54 + 40
    Total number of giraffes = 94

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: In the same African reserve, a survey is conducted again after a few years. This time, on one side of the reserve, there are 39 giraffes, while on the other side, the number remains the same at 40. How many giraffes are there in total in the reserve now?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of giraffes on each side of the reserve.

    Given information:
    - On one side of the reserve, there are 39 giraffes.
    - On the other side of the reserve, there are 40 giraffes.

    To find the total number of giraffes in the reserve, we add the number of giraffes on each side.

    Total number of giraffes = Number of giraffes on one side + Number of giraffes on the other side
    Total number of giraffes = 39 + 40
    Total number of giraffes = 79

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: There were originally 71 bees in a hive, but 23 flew away in search of flowers. Later, another beekeeper noticed that his hive of 85 bees was missing a few. He discovered that the missing bees were the ones that flew away from the first hive. How many bees are left in the second beekeeper's hive?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of bees that flew away from the first hive and then subtract that number from the total number of bees in the second hive.

    Given information:
    - There were originally 71 bees in the first hive.
    - 23 bees flew away from the first hive.
    - The second hive had 85 bees initially.
    - The bees that flew away from the first hive were the missing bees from the second hive.

    Step 1: Find the number of bees that remained in the first hive after 23 bees flew away.
    Number of bees remaining in the first hive = 71 - 23 = 48 bees

    Step 2: Find the number of bees that are left in the second hive after the missing bees (the ones that flew away from the first hive) are accounted for.
    Number of bees left in the second hive = 85 - 23 = 62 bees

    Therefore, there are 62 bees left in the second beekeeper's hive.

    ### Answer: 62

Expected answer: 37

Correct? No

🔗 Problem

Problem: Suppose you have 28 bottle cap crafting kits, and each kit can make 3 cap designs. However, you accidentally lost 3 bottle cap designs out of all the kits. How many bottle cap designs are left in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of bottle cap designs that can be made from all the kits, and then subtract the number of lost designs.

    Given information:
    - There are 28 bottle cap crafting kits.
    - Each kit can make 3 cap designs.
    - 3 bottle cap designs were lost.

    Step 1: Find the total number of bottle cap designs that can be made from all the kits.
    Total number of bottle cap designs = Number of kits × Number of designs per kit
    Total number of bottle cap designs = 28 × 3 = 84

    Step 2: Subtract the number of lost designs from the total number of designs.
    Number of bottle cap designs left = Total number of designs - Number of lost designs
    Number of bottle cap designs left = 84 - 3 = 81

    Therefore, there are 81 bottle cap designs left in total.

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, imagine that you made a counting error. Instead of losing 3 bottle cap designs, you have actually misplaced 14 of them from all the kits. How many bottle cap designs would you have left in that case?

Claude-3 Sonnet:

    Okay, let's continue from the previous problem with the new information.

    Given information:
    - There are 28 bottle cap crafting kits.
    - Each kit can make 3 cap designs.
    - 14 bottle cap designs were misplaced (instead of 3).

    Step 1: Find the total number of bottle cap designs that can be made from all the kits.
    Total number of bottle cap designs = Number of kits × Number of designs per kit
    Total number of bottle cap designs = 28 × 3 = 84

    Step 2: Subtract the number of misplaced designs from the total number of designs.
    Number of bottle cap designs left = Total number of designs - Number of misplaced designs
    Number of bottle cap designs left = 84 - 14 = 70

    Therefore, with 14 bottle cap designs misplaced, you would have 70 bottle cap designs left in total.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Problem

Problem: A helicopter company has a fleet of helicopters. They currently own 30 helicopters, and decide to add an additional 31 helicopters to the fleet. What is the total number of helicopters in the company's fleet?

Claude-3 Sonnet:

    To solve this problem, we need to find the sum of the current number of helicopters and the additional helicopters being added to the fleet.

    Given information:
    - The helicopter company currently owns 30 helicopters.
    - The company decides to add 31 more helicopters to the fleet.

    Step 1: Find the total number of helicopters by adding the current number of helicopters and the additional helicopters.
    Total number of helicopters = Current number of helicopters + Additional helicopters
    Total number of helicopters = 30 + 31
    Total number of helicopters = 61

    Therefore, after adding 31 new helicopters, the total number of helicopters in the company's fleet will be 61.

    ### Answer: 61

Expected answer: 61

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, let's consider a change. Suppose the helicopter company originally owned 63 helicopters instead of 30, but still decided to add an additional 31 helicopters to their fleet. How many helicopters would the company have in total now?

Claude-3 Sonnet:

    Okay, let's consider the updated scenario.

    Given information:
    - The helicopter company originally owned 63 helicopters.
    - The company decided to add 31 more helicopters to their fleet.

    To find the total number of helicopters after adding the new helicopters, we need to add the original number of helicopters and the additional helicopters.

    Step 1: Find the total number of helicopters by adding the original number of helicopters and the additional helicopters.
    Total number of helicopters = Original number of helicopters + Additional helicopters
    Total number of helicopters = 63 + 31
    Total number of helicopters = 94

    Therefore, after adding 31 new helicopters to their original fleet of 63 helicopters, the helicopter company will have a total of 94 helicopters in their fleet.

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Problem

Problem: The total amount of snowfall in a town this year was 71 inches. In the month of December, the town experienced 10 inches of snowfall. How many inches of snowfall did the town receive in the months before December?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the total snowfall for the year and the snowfall in December.

    Given information:
    - Total snowfall for the year = 71 inches
    - Snowfall in December = 10 inches

    Step 1: Find the snowfall in the months before December.
    Snowfall in the months before December = Total snowfall for the year - Snowfall in December
    Snowfall in the months before December = 71 inches - 10 inches
    Snowfall in the months before December = 61 inches

    Therefore, the town received 61 inches of snowfall in the months before December.

    ### Answer: 61

Expected answer: 61

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problems, assume the December snowfall data was misread earlier and it was actually 49 inches of snowfall in December, not 10 inches or the revised 13 inches. How many inches of snowfall did the town receive in the months before December given the new December snowfall data?

Claude-3 Sonnet:

    Okay, let's revise the problem with the new information.

    Given information:
    - Total snowfall for the year = 71 inches
    - Snowfall in December = 49 inches

    To find the snowfall in the months before December, we need to subtract the snowfall in December from the total snowfall for the year.

    Step 1: Find the snowfall in the months before December.
    Snowfall in the months before December = Total snowfall for the year - Snowfall in December
    Snowfall in the months before December = 71 inches - 49 inches
    Snowfall in the months before December = 22 inches

    Therefore, with the revised December snowfall data of 49 inches, the town received 22 inches of snowfall in the months before December.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: Penny received $39 from her mother as a birthday gift. She saw a bag that costs $41. If Penny decides to buy this bag, how much more money would she need?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the cost of the bag and the amount of money Penny received from her mother.

    Given information:
    - Penny received $39 from her mother as a birthday gift.
    - The cost of the bag is $41.

    Step 1: Find the difference between the cost of the bag and the amount of money Penny received.
    Cost of the bag - Amount of money Penny received = Additional money needed
    $41 - $39 = $2

    Therefore, if Penny decides to buy the bag that costs $41, she would need an additional $2.

    ### Answer: $2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: After figuring out how much more money she needs, Penny decides to earn the additional cash by doing small jobs for her neighbors. Penny gets paid $33 for every job she completes. How much money would Penny make if she does an equal number of jobs to the additional amount of money she needs to buy the bag?

Claude-3 Sonnet:

    Okay, let's break this down:
    * Penny needs an additional $2 to buy the bag
    * Penny gets paid $33 for every job she completes

    We need to find out how many jobs Penny needs to do to earn $2.

    Since Penny gets paid $33 per job, we can divide $2 by $33 to find the number of jobs:
    * $2 / $33 = 0.0606...

    This means that if Penny does 1 job, she will earn $33, which is more than the $2 she needs.

    Therefore, Penny only needs to do 1 job to earn the additional $2 she needs to buy the bag.

    And since she gets paid $33 per job, the amount of money she would make by doing 1 job is:
    * $33 x 1 = $33

    ### Answer: $33

Expected answer: 66

Correct? No

🔗 Follow-up

Problem: Suppose instead of receiving $39 from her mother, Penny only received $23 as her birthday gift. Now if she still wants to buy the bag, which costs $41, how much more money would she need?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - Penny received $23 from her mother as a birthday gift.
    - The cost of the bag is $41.

    To find the additional money needed, we need to subtract the amount of money Penny received from the cost of the bag.

    Step 1: Find the difference between the cost of the bag and the amount of money Penny received.
    Cost of the bag - Amount of money Penny received = Additional money needed
    $41 - $23 = $18

    Therefore, if Penny received $23 as her birthday gift and she wants to buy the bag that costs $41, she would need an additional $18.

    ### Answer: $18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: A fashion retail store specializes in selling glasses. They currently have 58 glasses. If they sell 21 glasses, how many glasses will remain in the fashion retail store?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of glasses and the number of glasses sold.

    Given information:
    - The fashion retail store currently has 58 glasses.
    - They will sell 21 glasses.

    Step 1: Find the number of glasses remaining after selling 21 glasses.
    Number of glasses remaining = Initial number of glasses - Number of glasses sold
    Number of glasses remaining = 58 - 21
    Number of glasses remaining = 37

    Therefore, after selling 21 glasses, there will be 37 glasses remaining in the fashion retail store.

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Follow-up

Problem: In the fashion retail store specializing in eyewear, another branch has 44 glasses in stock. If we subtract the number of glasses remaining in the main store (after selling 21 glasses), how many glasses does the other branch have in comparison?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the number of glasses in the other branch and the number of glasses remaining in the main store after selling 21 glasses.

    Given information:
    - The other branch has 44 glasses in stock.
    - The main store initially had 58 glasses.
    - The main store sold 21 glasses.

    Step 1: Find the number of glasses remaining in the main store after selling 21 glasses.
    Number of glasses remaining in the main store = Initial number of glasses - Number of glasses sold
    Number of glasses remaining in the main store = 58 - 21 = 37

    Step 2: Find the difference between the number of glasses in the other branch and the number of glasses remaining in the main store.
    Difference in the number of glasses = Number of glasses in the other branch - Number of glasses remaining in the main store
    Difference in the number of glasses = 44 - 37 = 7

    Therefore, the other branch has 7 more glasses in comparison to the number of glasses remaining in the main store after selling 21 glasses.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: In the fashion retail store that specializes in eyewear, consider a different scenario where they initially had 40 glasses instead of 58. If they sell 21 glasses from this initial stock, how many glasses will remain in the store?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of glasses and the number of glasses sold.

    Given information:
    - The fashion retail store initially had 40 glasses.
    - They will sell 21 glasses.

    Step 1: Find the number of glasses remaining after selling 21 glasses.
    Number of glasses remaining = Initial number of glasses - Number of glasses sold
    Number of glasses remaining = 40 - 21
    Number of glasses remaining = 19

    Therefore, if the fashion retail store initially had 40 glasses and they sell 21 glasses, there will be 19 glasses remaining in the store.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Problem

Problem: A food enthusiast started the day with 29 strawberries. If he ate 15 strawberries for breakfast, how many strawberries does he have left?

Claude-3 Sonnet:

    To solve this problem, we need to subtract the number of strawberries the food enthusiast ate for breakfast from the initial number of strawberries he had.

    Given information:
    - The food enthusiast started the day with 29 strawberries.
    - He ate 15 strawberries for breakfast.

    Step 1: Subtract the number of strawberries eaten for breakfast from the initial number of strawberries.
    Number of strawberries left = Initial number of strawberries - Number of strawberries eaten for breakfast
    Number of strawberries left = 29 - 15
    Number of strawberries left = 14

    Therefore, the food enthusiast has 14 strawberries left after eating 15 strawberries for breakfast.

    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Follow-up

Problem: Continuing from the earlier problem, imagine if the food enthusiast only ate 1 strawberry for breakfast instead of 15 strawberries. In that case, how many strawberries would he have left?

Claude-3 Sonnet:

    Okay, let's continue with the problem.

    Given information:
    - The food enthusiast started the day with 29 strawberries.
    - He ate 1 strawberry for breakfast instead of 15 strawberries.

    To find the number of strawberries left, we need to subtract the number of strawberries eaten for breakfast from the initial number of strawberries.

    Step 1: Subtract the number of strawberries eaten for breakfast from the initial number of strawberries.
    Number of strawberries left = Initial number of strawberries - Number of strawberries eaten for breakfast
    Number of strawberries left = 29 - 1
    Number of strawberries left = 28

    Therefore, if the food enthusiast ate only 1 strawberry for breakfast instead of 15 strawberries, he would have 28 strawberries left.

    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Problem

Problem: A ballerina practiced 34 dance moves. Then, in the next session, she trained an additional 46 dance moves. How many total dance moves did the ballerina practice?

Claude-3 Sonnet:

    To solve this problem, we need to find the sum of the dance moves practiced in the first session and the second session.

    Given information:
    - In the first session, the ballerina practiced 34 dance moves.
    - In the next session, the ballerina practiced an additional 46 dance moves.

    Step 1: Find the total number of dance moves practiced.
    Total dance moves practiced = Dance moves practiced in the first session + Dance moves practiced in the second session
    Total dance moves practiced = 34 + 46
    Total dance moves practiced = 80

    Therefore, the ballerina practiced a total of 80 dance moves.

    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Follow-up

Problem: After mastering a total of 80 dance moves, the ballerina decided to discard 16 dance moves that she felt were too simple. How many dance moves does the ballerina intend to keep in her repertoire?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of dance moves the ballerina intends to keep after discarding 16 dance moves.

    Given information:
    - The ballerina mastered a total of 80 dance moves.
    - The ballerina decided to discard 16 dance moves that were too simple.

    Step 1: Find the number of dance moves the ballerina intends to keep.
    Number of dance moves to keep = Total dance moves mastered - Number of dance moves discarded
    Number of dance moves to keep = 80 - 16
    Number of dance moves to keep = 64

    Therefore, the ballerina intends to keep 64 dance moves in her repertoire.

    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, the ballerina had practiced 34 dance moves before learning 46 more. But what if she initially practiced 34 dance moves and then decided to train an additional 57 dance moves. How many total dance moves would the ballerina have practiced then?

Claude-3 Sonnet:

    Okay, let's solve this new scenario.

    Given information:
    - In the first session, the ballerina practiced 34 dance moves.
    - In the next session, the ballerina practiced an additional 57 dance moves.

    Step 1: Find the total number of dance moves practiced.
    Total dance moves practiced = Dance moves practiced in the first session + Dance moves practiced in the second session
    Total dance moves practiced = 34 + 57
    Total dance moves practiced = 91

    Therefore, if the ballerina initially practiced 34 dance moves and then trained an additional 57 dance moves, she would have practiced a total of 91 dance moves.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Problem

Problem: In a car manufacturing factory, there are 50 spots reserved for completed cars. Today, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of spots remaining for the cars that are still under process.

    Given information:
    - There are 50 spots reserved for completed cars.
    - Currently, there are 21 cars that are fully completed.

    Step 1: Find the number of spots occupied by the fully completed cars.
    Number of spots occupied by fully completed cars = 21

    Step 2: Find the number of spots remaining for the cars under process.
    Number of spots remaining for cars under process = Total spots - Spots occupied by fully completed cars
    Number of spots remaining for cars under process = 50 - 21
    Number of spots remaining for cars under process = 29

    Therefore, there are 29 cars still under process.

    ### Answer: 29

Expected answer: 29

Correct? Yes

🔗 Follow-up

Problem: In addition to the cars under process, 6 spots are cleared to start new projects. After clearing these spots, how many cars still under process remain in the factory?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of cars still under process after clearing 6 spots for new projects.

    Given information:
    - There are 50 spots reserved for completed cars.
    - Currently, there are 21 cars that are fully completed.
    - Initially, there were 29 cars still under process (calculated in the previous problem).
    - 6 spots are cleared to start new projects.

    Step 1: Find the number of spots remaining for the cars under process after clearing 6 spots.
    Number of spots remaining for cars under process = Initial spots for cars under process - Spots cleared for new projects
    Number of spots remaining for cars under process = 29 - 6
    Number of spots remaining for cars under process = 23

    Therefore, after clearing 6 spots for new projects, there are 23 cars still under process remaining in the factory.

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

Problem: Let's suppose that instead of 50 spots for cars, the factory had only 45. In that case, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process now?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - There are 45 spots reserved for completed cars.
    - Currently, there are 21 cars that are fully completed.

    Step 1: Find the number of spots occupied by the fully completed cars.
    Number of spots occupied by fully completed cars = 21

    Step 2: Find the number of spots remaining for the cars under process.
    Number of spots remaining for cars under process = Total spots - Spots occupied by fully completed cars
    Number of spots remaining for cars under process = 45 - 21
    Number of spots remaining for cars under process = 24

    Therefore, with 45 spots reserved for completed cars and 21 cars already fully completed, there are 24 cars still under process.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Problem

Problem: The art supply store received an order of colored pencils. The packs of colored pencils arrived in two varieties: packs with 32 colored pencils and packs with 62 colored pencils. How many colored pencils are there in total if you have one pack of each variety?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of colored pencils in one pack of 32 colored pencils and one pack of 62 colored pencils.

    Given information:
    - One pack contains 32 colored pencils.
    - One pack contains 62 colored pencils.

    Step 1: Find the number of colored pencils in one pack of 32 colored pencils.
    Number of colored pencils in one pack of 32 colored pencils = 32

    Step 2: Find the number of colored pencils in one pack of 62 colored pencils.
    Number of colored pencils in one pack of 62 colored pencils = 62

    Step 3: Find the total number of colored pencils in one pack of each variety.
    Total number of colored pencils = Number of colored pencils in one pack of 32 colored pencils + Number of colored pencils in one pack of 62 colored pencils
    Total number of colored pencils = 32 + 62
    Total number of colored pencils = 94

    Therefore, there are 94 colored pencils in total if you have one pack of each variety.

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of receiving a pack of 32 colored pencils, the art supply store only received a single colored pencil along with the pack of 62 colored pencils. How many colored pencils would there be in total then?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - One pack contains 62 colored pencils.
    - The art supply store received a single colored pencil instead of a pack of 32 colored pencils.

    Step 1: Find the number of colored pencils in one pack of 62 colored pencils.
    Number of colored pencils in one pack of 62 colored pencils = 62

    Step 2: Find the number of colored pencils received as a single colored pencil.
    Number of colored pencils received as a single colored pencil = 1

    Step 3: Find the total number of colored pencils received.
    Total number of colored pencils = Number of colored pencils in one pack of 62 colored pencils + Number of colored pencils received as a single colored pencil
    Total number of colored pencils = 62 + 1
    Total number of colored pencils = 63

    Therefore, there would be 63 colored pencils in total if the art supply store received a single colored pencil along with the pack of 62 colored pencils.

    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Problem

Problem: A cat has 7 lives. If a magical cat has 4 times as many lives as a regular cat, how many lives does the magical cat have?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of lives a magical cat has based on the given information that it has 4 times as many lives as a regular cat.

    Given information:
    - A regular cat has 7 lives.
    - A magical cat has 4 times as many lives as a regular cat.

    Step 1: Find the number of lives a magical cat has.
    Number of lives a magical cat has = Number of lives a regular cat has × 4
    Number of lives a magical cat has = 7 × 4
    Number of lives a magical cat has = 28

    Therefore, the magical cat has 28 lives.

    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Follow-up

Problem: Let's consider a different breed of magical cat that has 13 times as many lives as a regular cat, instead of 4 times. How many lives does this different breed of magical cat have?

Claude-3 Sonnet:

    Okay, let's consider a different breed of magical cat that has 13 times as many lives as a regular cat.

    Given information:
    - A regular cat has 7 lives.
    - This different breed of magical cat has 13 times as many lives as a regular cat.

    Step 1: Find the number of lives this different breed of magical cat has.
    Number of lives this magical cat has = Number of lives a regular cat has × 13
    Number of lives this magical cat has = 7 × 13
    Number of lives this magical cat has = 91

    Therefore, this different breed of magical cat has 91 lives.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Problem

Problem: A rocket needs 27 tons of fuel for the initial boost and an additional 10 tons for the rest of the journey through space. After an unexpected issue, it needs an extra 2 tons of fuel. How many tons of fuel does the rocket need in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the sum of the fuel required for the initial boost, the fuel required for the rest of the journey, and the extra fuel needed due to the unexpected issue.

    Given information:
    - The rocket needs 27 tons of fuel for the initial boost.
    - The rocket needs an additional 10 tons of fuel for the rest of the journey through space.
    - The rocket needs an extra 2 tons of fuel due to an unexpected issue.

    Step 1: Find the total fuel required without the extra fuel.
    Total fuel required without extra fuel = Fuel for initial boost + Fuel for the rest of the journey
    Total fuel required without extra fuel = 27 tons + 10 tons
    Total fuel required without extra fuel = 37 tons

    Step 2: Find the total fuel required by adding the extra fuel.
    Total fuel required = Total fuel required without extra fuel + Extra fuel
    Total fuel required = 37 tons + 2 tons
    Total fuel required = 39 tons

    Therefore, the rocket needs a total of 39 tons of fuel.

    ### Answer: 39

Expected answer: 39

Correct? Yes

🔗 Follow-up

Problem: Suppose the rocket initially needed 27 tons of fuel for the boost off and for the space journey. But let's consider a change and say that it needed 13 tons of fuel for the rest of the journey instead of 10 tons. Even so, the additional 2 tons for the unexpected issue still applies. Under this new circumstance, how many tons of fuel does the rocket now need in total?

Claude-3 Sonnet:

    Okay, let's consider the new information:

    Given:
    - The rocket needs 27 tons of fuel for the initial boost.
    - The rocket needs 13 tons of fuel for the rest of the journey through space (instead of 10 tons).
    - The rocket needs an extra 2 tons of fuel due to an unexpected issue.

    Step 1: Find the total fuel required without the extra fuel.
    Total fuel required without extra fuel = Fuel for initial boost + Fuel for the rest of the journey
    Total fuel required without extra fuel = 27 tons + 13 tons
    Total fuel required without extra fuel = 40 tons

    Step 2: Find the total fuel required by adding the extra fuel.
    Total fuel required = Total fuel required without extra fuel + Extra fuel
    Total fuel required = 40 tons + 2 tons
    Total fuel required = 42 tons

    Therefore, under the new circumstance where the rocket needs 13 tons of fuel for the rest of the journey instead of 10 tons, the rocket needs a total of 42 tons of fuel.

    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Problem

Problem: Mark has found an ancient treasure map! At the beginning, he has 94 clues to find the treasure. After his exploration, he figured out 89 clues in total. How many clues does he still need to figure out to reach the treasure?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the total number of clues and the number of clues Mark has already figured out.

    Given information:
    - Mark has 94 clues at the beginning.
    - Mark has figured out 89 clues in total.

    Step 1: Find the number of clues Mark still needs to figure out.
    Number of clues still needed = Total number of clues - Number of clues figured out
    Number of clues still needed = 94 - 89
    Number of clues still needed = 5

    Therefore, Mark still needs to figure out 5 clues to reach the treasure.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: After previously deciphering 89 clues, Mark stumbled upon a hidden engraving that altered his interpretations. He now realizes that, truly, he had only figured out 17 of the original 94 clues. This correction throws his treasure hunt off course. How many clues does he now need to figure out to reach the treasure?

Claude-3 Sonnet:

    Okay, let's revisit this problem with the new information.

    Given:
    - The total number of clues is 94.
    - Mark had initially thought he figured out 89 clues, but he was mistaken.
    - Mark has actually only figured out 17 clues so far.

    To find the number of clues Mark still needs to figure out, we need to subtract the number of clues he has already figured out from the total number of clues.

    Step 1: Calculate the number of clues Mark still needs to figure out.
    Number of clues still needed = Total number of clues - Number of clues figured out
    Number of clues still needed = 94 - 17
    Number of clues still needed = 77

    Therefore, with the correction, Mark now needs to figure out 77 clues to reach the treasure.

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Problem

Problem: Mike has 18 dollars. He decides to buy a candy bar that costs 16 dollars. How much money does he have left?

Claude-3 Sonnet:

    To solve this problem, we need to subtract the cost of the candy bar from the amount of money Mike has.

    Given information:
    - Mike has $18.
    - The candy bar costs $16.

    Step 1: Subtract the cost of the candy bar from the amount of money Mike has.
    Amount of money left = Mike's initial money - Cost of the candy bar
    Amount of money left = $18 - $16
    Amount of money left = $2

    Therefore, after buying the candy bar that costs $16, Mike has $2 left.

    ### Answer: $2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: After buying the candy bar, Mike finds a wallet on the ground. Inside the wallet, there are 10 dollars. After counting the money he has left, Mike realizes he now has less money than what's in the wallet. How much money is Mike short of having compared to the 10 dollars in the wallet?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the amount of money in the wallet ($10) and the amount of money Mike has after buying the candy bar.

    Given information:
    - Mike had $18 initially.
    - The candy bar cost $16.
    - After buying the candy bar, Mike had $2 left.
    - The wallet found on the ground has $10.
    - Mike has less money than the $10 in the wallet.

    Step 1: Find the difference between the amount of money in the wallet and the amount of money Mike has.
    Difference = Amount of money in the wallet - Amount of money Mike has
    Difference = $10 - $2
    Difference = $8

    Therefore, Mike is short of $8 compared to the $10 in the wallet.

    ### Answer: $8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Let's consider a new scenario. This time, Mike starts with 74 dollars instead of 18. He still buys the candy bar that costs 16 dollars. How much money does he have left after buying the candy bar now?

Claude-3 Sonnet:

    Okay, let's consider the new scenario.

    Given information:
    - Mike starts with $74.
    - The candy bar costs $16.

    To find the amount of money Mike has left after buying the candy bar, we need to subtract the cost of the candy bar from his initial amount of money.

    Step 1: Subtract the cost of the candy bar from Mike's initial amount of money.
    Amount of money left = Mike's initial money - Cost of the candy bar
    Amount of money left = $74 - $16
    Amount of money left = $58

    Therefore, after buying the candy bar that costs $16, when Mike started with $74, he has $58 left.

    ### Answer: $58

Expected answer: 58

Correct? Yes

🔗 Problem

Problem: On a large farm, there are 77 animals in total. Some of them are cows and the rest are chickens. If the number of chickens is 53 less than the total number of animals, how many chickens are there on the farm?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of chickens on the farm.

    Given information:
    - There are 77 animals in total on the farm.
    - Some of the animals are cows, and the rest are chickens.
    - The number of chickens is 53 less than the total number of animals.

    Let's represent the number of chickens as x.

    Since the number of chickens is 53 less than the total number of animals, we can write the equation:
    x + (77 - x) = 77
    x + 77 - x = 77
    x = 77 - 77 + x
    x = 0 + x
    2x = 77
    x = 77/2
    x = 38.5

    Since the number of chickens must be a whole number, we round down to 38.

    Therefore, there are 38 chickens on the farm.

    ### Answer: 38

Expected answer: 24

Correct? No

🔗 Problem

Problem: In an ocean research project, scientists capture and tag 6 sharks. Later, an additional 50 sharks are tagged to better track and study the shark population in the area. How many sharks in total have the scientists tagged?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of sharks tagged by adding the number of sharks initially tagged and the additional sharks tagged later.

    Given information:
    - Initially, 6 sharks were captured and tagged.
    - Later, an additional 50 sharks were tagged.

    Step 1: Find the total number of sharks tagged.
    Total sharks tagged = Initially tagged sharks + Additional sharks tagged
    Total sharks tagged = 6 + 50
    Total sharks tagged = 56

    Therefore, the scientists have tagged a total of 56 sharks in the ocean research project.

    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Follow-up

Problem: In the same ocean research project, suppose the scientists initially only managed to capture and tag 6 sharks, but later were able to tag an additional 7 sharks. How many sharks would have been tagged in this case?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - Initially, 6 sharks were captured and tagged.
    - Later, an additional 7 sharks were tagged.

    To find the total number of sharks tagged, we need to add the number of sharks initially tagged and the additional sharks tagged later.

    Step 1: Find the total number of sharks tagged.
    Total sharks tagged = Initially tagged sharks + Additional sharks tagged
    Total sharks tagged = 6 + 7
    Total sharks tagged = 13

    Therefore, in this case, the scientists would have tagged a total of 13 sharks in the ocean research project.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Problem

Problem: In a video game, Jacob has 68 gems. He decided to give some of his gems away and was left with 62 gems. How many gems did he give away?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of gems Jacob had and the number of gems he was left with after giving some away.

    Given information:
    - Jacob initially had 68 gems.
    - After giving some gems away, Jacob was left with 62 gems.

    Step 1: Find the number of gems Jacob gave away.
    Number of gems Jacob gave away = Initial number of gems - Number of gems left
    Number of gems Jacob gave away = 68 - 62
    Number of gems Jacob gave away = 6

    Therefore, Jacob gave away 6 gems.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Considering the same video game as before, what if Jacob initially had 100 gems instead of 68 before he gave some away and was left with 62 gems? How many gems did he give away this time?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new information.

    Given information:
    - Jacob initially had 100 gems.
    - After giving some gems away, Jacob was left with 62 gems.

    Step 1: Find the number of gems Jacob gave away.
    Number of gems Jacob gave away = Initial number of gems - Number of gems left
    Number of gems Jacob gave away = 100 - 62
    Number of gems Jacob gave away = 38

    Therefore, if Jacob initially had 100 gems and was left with 62 gems after giving some away, he gave away 38 gems.

    ### Answer: 38

Expected answer: 38

Correct? Yes

🔗 Problem

Problem: In a candle store, there are 27 scented candles and 36 unscented candles. The store owner decides to put 30 candles on sale. How many candles are not on sale?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of candles in the store and then subtract the number of candles on sale.

    Given information:
    - There are 27 scented candles.
    - There are 36 unscented candles.
    - The store owner decides to put 30 candles on sale.

    Step 1: Find the total number of candles in the store.
    Total number of candles = Number of scented candles + Number of unscented candles
    Total number of candles = 27 + 36 = 63 candles

    Step 2: Find the number of candles that are not on sale.
    Number of candles not on sale = Total number of candles - Number of candles on sale
    Number of candles not on sale = 63 - 30 = 33 candles

    Therefore, 33 candles are not on sale in the candle store.

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Follow-up

Problem: In the candle store, after the owner decides on which candles to put on sale, 14 more candles are sold. How many candles are left in the store now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of candles remaining in the store after the sale and the additional candles sold.

    Given information:
    - Initially, there were 27 scented candles and 36 unscented candles, totaling 63 candles.
    - The store owner decided to put 30 candles on sale.
    - After the sale, 14 more candles were sold.

    Step 1: Find the number of candles remaining after the sale.
    Number of candles remaining after the sale = Total number of candles - Number of candles on sale
    Number of candles remaining after the sale = 63 - 30 = 33 candles

    Step 2: Find the number of candles remaining after the additional 14 candles were sold.
    Number of candles remaining = Number of candles remaining after the sale - Number of additional candles sold
    Number of candles remaining = 33 - 14 = 19 candles

    Therefore, there are 19 candles left in the store after the sale and the additional candles sold.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Follow-up

Problem: In the original scenario, let's consider instead that there were 73 unscented candles instead of 36 in the candle store. Similar to the original scenario, the store owner decides to put 30 candles on sale. Now, how many candles are not on sale?

Claude-3 Sonnet:

    Okay, let's consider the updated scenario with 73 unscented candles instead of 36.

    Given information:
    - There are 27 scented candles.
    - There are 73 unscented candles.
    - The store owner decides to put 30 candles on sale.

    Step 1: Find the total number of candles in the store.
    Total number of candles = Number of scented candles + Number of unscented candles
    Total number of candles = 27 + 73 = 100 candles

    Step 2: Find the number of candles that are not on sale.
    Number of candles not on sale = Total number of candles - Number of candles on sale
    Number of candles not on sale = 100 - 30 = 70 candles

    Therefore, with 73 unscented candles, and the store owner putting 30 candles on sale, 70 candles are not on sale in the candle store.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Problem

Problem: In a card game, Alex started with 98 points but lost 51 points in a round. Next, he gained 17 points in a following round. How many points does Alex have after these rounds?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of points Alex has after losing and gaining points in the respective rounds.

    Given information:
    - Alex started with 98 points.
    - Alex lost 51 points in a round.
    - Alex gained 17 points in the following round.

    Step 1: Find the number of points Alex has after losing 51 points.
    Initial points - Points lost = Points after losing
    98 - 51 = 47 points

    Step 2: Find the number of points Alex has after gaining 17 points.
    Points after losing + Points gained = Total points after both rounds
    47 + 17 = 64 points

    Therefore, after these rounds, Alex has 64 points.

    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: In the card game, after gaining 17 points, Alex decided to bet 25 points in the next round. Unfortunately, he lost this round. How many points does Alex have after all these rounds?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of points Alex has after gaining 17 points and then losing 25 points in the next round.

    Given information:
    - Alex started with 98 points.
    - Alex lost 51 points in the first round, leaving him with 47 points.
    - Alex gained 17 points in the following round, leaving him with 64 points.
    - Alex bet 25 points in the next round and lost.

    Step 1: Find the number of points Alex has after losing 25 points in the next round.
    Points after gaining 17 points - Points lost in the next round = Total points after all rounds
    64 - 25 = 39 points

    Therefore, after all these rounds, Alex has 39 points.

    ### Answer: 39

Expected answer: 39

Correct? Yes

🔗 Follow-up

Problem: In the card game, instead of gaining 17 points, Alex only gained 2 points in the second round. Now how many points does Alex have after the first two rounds?

Claude-3 Sonnet:

    Okay, let's recalculate with the new information.

    Given information:
    - Alex started with 98 points.
    - Alex lost 51 points in the first round.
    - Alex gained 2 points in the second round.

    Step 1: Find the number of points Alex has after losing 51 points in the first round.
    Initial points - Points lost = Points after losing
    98 - 51 = 47 points

    Step 2: Find the number of points Alex has after gaining 2 points in the second round.
    Points after losing + Points gained = Total points after both rounds
    47 + 2 = 49 points

    Therefore, after the first two rounds, with Alex gaining only 2 points in the second round, he has 49 points.

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: A clothing store starts the day with 95 pairs of pants in stock. Throughout the day, it sells 4 pairs. How many pairs of pants are left in the store?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of pairs of pants in stock and the number of pairs sold.

    Given information:
    - The clothing store starts the day with 95 pairs of pants in stock.
    - The store sells 4 pairs of pants throughout the day.

    Step 1: Find the number of pairs of pants sold.
    Number of pairs of pants sold = 4

    Step 2: Find the number of pairs of pants left in the store.
    Number of pairs of pants left = Initial number of pairs of pants - Number of pairs of pants sold
    Number of pairs of pants left = 95 - 4
    Number of pairs of pants left = 91

    Therefore, there are 91 pairs of pants left in the store.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: After selling 4 pairs of pants, the clothing store receives a small shipment of 3 more pairs to restock. How many pairs of pants are now in the store?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of pairs of pants left after selling 4 pairs, and then add the number of pairs received in the new shipment.

    Given information:
    - The clothing store starts the day with 95 pairs of pants in stock.
    - The store sells 4 pairs of pants throughout the day.
    - The store receives a shipment of 3 more pairs of pants to restock.

    Step 1: Find the number of pairs of pants left after selling 4 pairs.
    Number of pairs of pants left after selling = Initial number of pairs of pants - Number of pairs of pants sold
    Number of pairs of pants left after selling = 95 - 4 = 91

    Step 2: Find the total number of pairs of pants in the store after receiving the new shipment.
    Total number of pairs of pants = Number of pairs of pants left after selling + Number of pairs of pants received in the new shipment
    Total number of pairs of pants = 91 + 3 = 94

    Therefore, after selling 4 pairs of pants and receiving a new shipment of 3 pairs, there are now 94 pairs of pants in the store.

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: After the clothing store sold 4 pairs of pants, they realized they actually sold 9 pairs during that day instead of the 4 they initially thought. How many pairs of pants are left in the store?

Claude-3 Sonnet:

    Okay, let's revisit this problem with the updated information.

    Given information:
    - The clothing store starts the day with 95 pairs of pants in stock.
    - The store sold 9 pairs of pants throughout the day (instead of the initially thought 4 pairs).

    Step 1: Find the number of pairs of pants sold.
    Number of pairs of pants sold = 9

    Step 2: Find the number of pairs of pants left in the store.
    Number of pairs of pants left = Initial number of pairs of pants - Number of pairs of pants sold
    Number of pairs of pants left = 95 - 9
    Number of pairs of pants left = 86

    Therefore, with the updated information that the store sold 9 pairs of pants instead of 4, there are 86 pairs of pants left in the store.

    ### Answer: 86

Expected answer: 86

Correct? Yes

🔗 Problem

Problem: In the classroom, there are 48 pencils initially. However, 30 pencils are distributed to students. Later, the teacher brings in an additional 9 pencils. How many pencils are there in the classroom now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of pencils remaining after distributing 30 pencils to students, and then add the additional 9 pencils brought in by the teacher.

    Given information:
    - Initially, there are 48 pencils in the classroom.
    - 30 pencils are distributed to students.
    - The teacher brings in an additional 9 pencils.

    Step 1: Find the number of pencils remaining after distributing 30 pencils.
    Number of pencils remaining = Initial number of pencils - Number of pencils distributed
    Number of pencils remaining = 48 - 30 = 18 pencils

    Step 2: Find the total number of pencils after adding the additional 9 pencils.
    Total number of pencils = Number of pencils remaining + Additional pencils brought in
    Total number of pencils = 18 + 9 = 27 pencils

    Therefore, there are now 27 pencils in the classroom.

    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: Suppose that instead of starting with 48 pencils in the classroom, there were 35. After distributing 30 pencils to the students, the teacher brings in an additional 9, just like before. With this change in initial conditions, how many pencils are now in the classroom?

Claude-3 Sonnet:

    Okay, let's solve this problem with the new initial condition.

    Given information:
    - Initially, there are 35 pencils in the classroom.
    - 30 pencils are distributed to students.
    - The teacher brings in an additional 9 pencils.

    Step 1: Find the number of pencils remaining after distributing 30 pencils.
    Number of pencils remaining = Initial number of pencils - Number of pencils distributed
    Number of pencils remaining = 35 - 30 = 5 pencils

    Step 2: Find the total number of pencils after adding the additional 9 pencils.
    Total number of pencils = Number of pencils remaining + Additional pencils brought in
    Total number of pencils = 5 + 9 = 14 pencils

    Therefore, with the new initial condition of 35 pencils, there are now 14 pencils in the classroom after distributing 30 pencils to students and the teacher bringing in an additional 9 pencils.

    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: A designer decided to create a variety of window styles for a large commercial building. Originally, there were 68 window concepts. However, with some discussions and reviewing, 49 concepts got rejected. How many window design concepts are there left now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of window design concepts that were not rejected.

    Given information:
    - Originally, there were 68 window concepts.
    - 49 concepts got rejected.

    To find the number of concepts left, we need to subtract the number of rejected concepts from the original number of concepts.

    Number of concepts left = Original number of concepts - Number of rejected concepts
    Number of concepts left = 68 - 49
    Number of concepts left = 19

    Therefore, there are 19 window design concepts left now.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider the situation from before. Suppose that in the initial review, the designer didn't reject as many concepts as before. This time, only 17 window design concepts are rejected from the original 68 concepts. How many window design concepts are left now?

Claude-3 Sonnet:

    Okay, let's reconsider the situation with the new information.

    Given information:
    - Originally, there were 68 window design concepts.
    - This time, only 17 concepts were rejected.

    To find the number of concepts left, we need to subtract the number of rejected concepts from the original number of concepts.

    Number of concepts left = Original number of concepts - Number of rejected concepts
    Number of concepts left = 68 - 17
    Number of concepts left = 51

    Therefore, with only 17 window design concepts rejected from the original 68 concepts, there are 51 window design concepts left now.

    ### Answer: 51

Expected answer: 51

Correct? Yes

🔗 Problem

Problem: A store has 32 pairs of binoculars in stock. Later in the day, they receive an additional shipment of 20 pairs of binoculars. The next day, the store receives yet another shipment of 23 pairs of binoculars. How many pairs of binoculars does the store have in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of pairs of binoculars the store has after receiving all the shipments.

    Given information:
    - The store initially has 32 pairs of binoculars in stock.
    - Later in the day, they receive an additional shipment of 20 pairs of binoculars.
    - The next day, they receive another shipment of 23 pairs of binoculars.

    Step 1: Find the total number of pairs of binoculars after the first shipment.
    Initial stock + First shipment = Total after first shipment
    32 + 20 = 52 pairs of binoculars

    Step 2: Find the total number of pairs of binoculars after the second shipment.
    Total after first shipment + Second shipment = Total after second shipment
    52 + 23 = 75 pairs of binoculars

    Therefore, the store has a total of 75 pairs of binoculars after receiving all the shipments.

    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Follow-up

Problem: In the original scenario, the store had 32 pairs of binoculars and received an additional shipment of 20 pairs, after which it received 23 more pairs. Now, consider if instead of 23 pairs, the store had received an additional 46 pairs in the last shipment. How many pairs of binoculars would the store have had in this new scenario?

Claude-3 Sonnet:

    Okay, let's consider the new scenario where the store initially had 32 pairs of binoculars, received an additional shipment of 20 pairs, and then received a final shipment of 46 pairs instead of 23 pairs.

    Given information:
    - The store initially has 32 pairs of binoculars in stock.
    - They receive an additional shipment of 20 pairs of binoculars.
    - They receive a final shipment of 46 pairs of binoculars.

    Step 1: Find the total number of pairs of binoculars after the first shipment.
    Initial stock + First shipment = Total after first shipment
    32 + 20 = 52 pairs of binoculars

    Step 2: Find the total number of pairs of binoculars after the second (final) shipment.
    Total after first shipment + Second (final) shipment = Total after second shipment
    52 + 46 = 98 pairs of binoculars

    Therefore, in the new scenario where the store received a final shipment of 46 pairs of binoculars instead of 23 pairs, the store would have a total of 98 pairs of binoculars.

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Problem

Problem: Fiona has started taking piano lessons and practices for 28 minutes every day. One day, she decides to increase her practice time by an extra 8 minutes. How many total minutes did Fiona practice piano that day?

Claude-3 Sonnet:

    To solve this problem, we need to find the sum of Fiona's regular practice time and the extra time she added.

    Given information:
    - Fiona practices piano for 28 minutes every day.
    - One day, she decides to increase her practice time by an extra 8 minutes.

    Step 1: Find Fiona's regular practice time.
    Regular practice time = 28 minutes

    Step 2: Find the extra practice time.
    Extra practice time = 8 minutes

    Step 3: Find the total practice time by adding the regular practice time and the extra practice time.
    Total practice time = Regular practice time + Extra practice time
    Total practice time = 28 minutes + 8 minutes
    Total practice time = 36 minutes

    Therefore, Fiona practiced piano for a total of 36 minutes on the day she increased her practice time by 8 minutes.

    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: After Fiona finished her longer practice session of 28 minutes plus an extra 8 minutes, her piano teacher asked her to practice an additional song, which took her an extra 34 minutes. How many total minutes did Fiona practice piano that day altogether?

Claude-3 Sonnet:

    In this problem, we need to find the total time Fiona practiced piano on the day she had an extended practice session and an additional song to practice.

    Given:
    - Fiona's regular practice time is 28 minutes.
    - She increased her practice time by an extra 8 minutes.
    - After the extended practice session, she practiced an additional song for 34 minutes.

    To calculate the total practice time, we need to add up all the individual practice times.

    Step 1: Calculate the time for the extended practice session.
    Extended practice session = Regular practice time + Extra time
    Extended practice session = 28 minutes + 8 minutes
    Extended practice session = 36 minutes

    Step 2: Calculate the total practice time by adding the extended practice session and the additional song practice time.
    Total practice time = Extended practice session + Additional song practice time
    Total practice time = 36 minutes + 34 minutes
    Total practice time = 70 minutes

    Therefore, Fiona practiced piano for a total of 70 minutes on that day.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

Problem: Following on from the previous scenario, let's say instead that Fiona began her practice session by practicing for 28 minutes and then decided to extend her practice time by an extra 20 minutes instead of 8. How many total minutes did Fiona practice piano that day in this scenario?

Claude-3 Sonnet:

    In this scenario, we need to find the total practice time by adding Fiona's regular practice time and the extended practice time.

    Given information:
    - Fiona practices piano for 28 minutes every day.
    - On this particular day, she decided to extend her practice time by an extra 20 minutes.

    Step 1: Find Fiona's regular practice time.
    Regular practice time = 28 minutes

    Step 2: Find the extended practice time.
    Extended practice time = 20 minutes

    Step 3: Find the total practice time by adding the regular practice time and the extended practice time.
    Total practice time = Regular practice time + Extended practice time
    Total practice time = 28 minutes + 20 minutes
    Total practice time = 48 minutes

    Therefore, on the day when Fiona extended her practice time by an extra 20 minutes, she practiced piano for a total of 48 minutes.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: An artisan has 75 beads for making bracelets. He uses 55 beads for a large commissioned piece, leaving a certain amount of beads. The artisan then receives another shipment with the equivalent number of beads as he currently has. How many beads does the artisan have now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of beads the artisan had left after making the large commissioned piece, and then double that amount to account for the new shipment.

    Given information:
    - The artisan initially had 75 beads.
    - He used 55 beads for a large commissioned piece.

    Step 1: Find the number of beads left after making the large commissioned piece.
    Number of beads left = Total beads - Beads used for the commissioned piece
    Number of beads left = 75 - 55 = 20 beads

    Step 2: Find the total number of beads after receiving the new shipment.
    Total beads after new shipment = Number of beads left + Number of beads in the new shipment
    Total beads after new shipment = 20 beads + 20 beads = 40 beads

    Therefore, the artisan now has 40 beads.

    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: Following from the previous scenario, the artisan now acquires an additional set of 29 special beads that he had ordered earlier. How many total beads does the artisan have now, counting his current stock and the new special beads?

Claude-3 Sonnet:

    In the previous scenario, we found that the artisan had 40 beads after receiving a new shipment of beads equal to the number of beads he had left after making the commissioned piece.

    Now, the artisan has acquired an additional set of 29 special beads.

    To find the total number of beads the artisan has now, we need to add the number of beads he had previously (40) and the number of new special beads (29).

    Total number of beads = Previous number of beads + Number of new special beads
    Total number of beads = 40 + 29
    Total number of beads = 69

    Therefore, the artisan now has a total of 69 beads, counting his current stock and the new special beads.

    ### Answer: 69

Expected answer: 69

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, suppose originally the artisan started with 99 beads instead of 75. If he still used 55 beads for the large commissioned piece and received another shipment with an equivalent number of beads as he currently has, how many beads would the artisan have now?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - The artisan initially had 99 beads.
    - He used 55 beads for a large commissioned piece.
    - He received another shipment with an equivalent number of beads as he currently has.

    Step 1: Find the number of beads left after making the large commissioned piece.
    Number of beads left = Total beads - Beads used for the commissioned piece
    Number of beads left = 99 - 55 = 44 beads

    Step 2: Find the total number of beads after receiving the new shipment.
    Total beads after new shipment = Number of beads left + Number of beads in the new shipment
    Total beads after new shipment = 44 beads + 44 beads = 88 beads

    Therefore, with the initial 99 beads, and after using 55 beads for the commissioned piece and receiving a new shipment with an equivalent number of beads as he currently had, the artisan now has 88 beads.

    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Problem

Problem: There are 73 minutes past 12:00 noon. If you subtract 67 minutes from this, at what minute into the next hour will the minute hand on the clock be pointing?

Claude-3 Sonnet:

    To solve this problem, we need to find the remaining minutes after subtracting 67 minutes from 73 minutes past 12:00 noon.

    Given information:
    - There are 73 minutes past 12:00 noon.
    - We need to subtract 67 minutes from 73 minutes.

    Step 1: Subtract 67 minutes from 73 minutes.
    73 minutes - 67 minutes = 6 minutes

    Step 2: Since we started from 12:00 noon, the remaining 6 minutes will be in the next hour, which is 1:00 PM.

    Therefore, the minute hand on the clock will be pointing at 6 minutes past 1:00 PM.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Continuing from the initial situation, suppose there are 73 minutes past 12:00 noon. But instead of subtracting 67 minutes from this as we did before, we subtract just 2 minutes. At what minute into the next hour will the minute hand on the clock be pointing now?

Claude-3 Sonnet:

    Okay, let's solve this problem.

    Given information:
    - There are 73 minutes past 12:00 noon.
    - We need to subtract 2 minutes from 73 minutes.

    Step 1: Subtract 2 minutes from 73 minutes.
    73 minutes - 2 minutes = 71 minutes

    Step 2: Since we started from 12:00 noon, the remaining 71 minutes will still be in the same hour (12:00 PM to 1:00 PM).

    Therefore, the minute hand on the clock will be pointing at 71 minutes past 12:00 PM, which is 1:11 PM.

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Problem

Problem: In the Pacific ocean, there are currently 97 dolphins. Unfortunately, 45 of them migrated to another place due to hunting activities. How many dolphins are left in the Pacific ocean?

Claude-3 Sonnet:

    To solve this problem, we need to subtract the number of dolphins that migrated from the initial number of dolphins in the Pacific Ocean.

    Given information:
    - There are currently 97 dolphins in the Pacific Ocean.
    - 45 dolphins migrated to another place due to hunting activities.

    Step 1: Subtract the number of dolphins that migrated from the initial number of dolphins.
    Number of dolphins left = Initial number of dolphins - Number of dolphins that migrated
    Number of dolphins left = 97 - 45
    Number of dolphins left = 52

    Therefore, there are 52 dolphins left in the Pacific Ocean.

    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Follow-up

Problem: Following the migration of some dolphins, a group of 19 dolphins from elsewhere discovered the now peaceful territory in the Pacific ocean and decided to join the remaining group. How many dolphins are now making the Pacific ocean their home?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of dolphins that joined the remaining group to the number of dolphins that were left in the Pacific Ocean after the migration.

    Given information:
    - After the migration, there were 52 dolphins left in the Pacific Ocean.
    - A group of 19 dolphins from elsewhere joined the remaining group.

    Step 1: Add the number of dolphins that joined to the number of dolphins that were left.
    Total number of dolphins in the Pacific Ocean = Number of dolphins left + Number of dolphins that joined
    Total number of dolphins in the Pacific Ocean = 52 + 19
    Total number of dolphins in the Pacific Ocean = 71

    Therefore, there are now 71 dolphins making the Pacific Ocean their home.

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Follow-up

Problem: Remember the group of dolphins that made the pacific ocean their home? Well, let's consider a different scenario. Instead of 97 dolphins initially, say there were 61 dolphins in the beginning. After the same migration event where 45 dolphins left the area, how many dolphins would have been left in that scenario?

Claude-3 Sonnet:

    Okay, let's consider the new scenario with different initial conditions.

    Given information:
    - There were initially 61 dolphins in the Pacific Ocean.
    - 45 dolphins migrated to another place due to hunting activities.

    To find the number of dolphins left in the Pacific Ocean, we need to subtract the number of dolphins that migrated from the initial number of dolphins.

    Step 1: Subtract the number of dolphins that migrated from the initial number of dolphins.
    Number of dolphins left = Initial number of dolphins - Number of dolphins that migrated
    Number of dolphins left = 61 - 45
    Number of dolphins left = 16

    Therefore, if there were initially 61 dolphins in the Pacific Ocean and 45 dolphins migrated, there would be 16 dolphins left in the Pacific Ocean.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: There is 1 bus in the garage. The bus can hold up to 55 people. How many people can the bus in the garage hold?

Claude-3 Sonnet:

    To solve this problem, we need to find the maximum capacity of the bus in the garage.

    Given information:
    - There is 1 bus in the garage.
    - The bus can hold up to 55 people.

    Since there is only one bus in the garage, and it can hold up to 55 people, the maximum number of people that the bus in the garage can hold is 55.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: The bus in the garage has 1 seat occupied by the driver. The bus can hold up to 55 people including the driver. If 24 people get off the bus at the first stop, how many people are left on the bus?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of people on the bus after 24 people get off at the first stop.

    Given information:
    - The bus in the garage has 1 seat occupied by the driver.
    - The bus can hold up to 55 people, including the driver.
    - 24 people get off the bus at the first stop.

    Step 1: Find the total number of people on the bus before the first stop.
    Total capacity of the bus = 55 people (including the driver)
    Since the driver's seat is already occupied, the remaining seats are occupied by passengers.
    Number of passengers on the bus before the first stop = 55 - 1 = 54 people

    Step 2: Find the number of people left on the bus after 24 people get off at the first stop.
    Number of people left on the bus = Number of passengers before the first stop - Number of people who got off
    Number of people left on the bus = 54 - 24 = 30 people

    Therefore, after 24 people get off the bus at the first stop, there are 30 people left on the bus, including the driver.

    ### Answer: 30

Expected answer: 31

Correct? No

🔗 Follow-up

Problem: Let's take the previous bus situation but this time, imagine that the bus can hold up to 52 people, including the driver, instead of 55. So, how many people can this bus hold now?

Claude-3 Sonnet:

    Okay, let's consider the updated information:

    Given information:
    - There is 1 bus in the garage.
    - The bus can hold up to 52 people, including the driver.

    Since the bus can hold up to 52 people, including the driver, and there is only one bus in the garage, the maximum number of people that the bus in the garage can hold, excluding the driver, is 51.

    This is because if the bus can hold 52 people in total, including the driver, then the remaining capacity for passengers (excluding the driver) would be 52 - 1 = 51.

    ### Answer: 51

Expected answer: 52

Correct? No

🔗 Problem

Problem: Jenny made 28 cookies. Later, she decided to bake another batch and she made 42 cookies this time. Now, how many cookies does Jenny have in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of cookies Jenny made by adding the number of cookies from the first batch and the second batch.

    Given information:
    - Jenny made 28 cookies in the first batch.
    - Jenny made 42 cookies in the second batch.

    Step 1: Find the total number of cookies by adding the number of cookies from both batches.
    Total number of cookies = Number of cookies in the first batch + Number of cookies in the second batch
    Total number of cookies = 28 + 42
    Total number of cookies = 70

    Therefore, Jenny has a total of 70 cookies.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

Problem: After baking all those cookies, Jenny decided to share some with her friends. She gave away 13 cookies. How many cookies does Jenny have left now?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of cookies Jenny has left after giving away 13 cookies.

    Given information:
    - Jenny had a total of 70 cookies.
    - Jenny gave away 13 cookies to her friends.

    Step 1: Find the number of cookies Jenny has left by subtracting the number of cookies she gave away from the total number of cookies she had.
    Number of cookies left = Total number of cookies - Number of cookies given away
    Number of cookies left = 70 - 13
    Number of cookies left = 57

    Therefore, Jenny has 57 cookies left after giving away 13 cookies to her friends.

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: What if, instead of baking 28 cookies in the first batch, Jenny had only baked just 1 cookie? After that, she decided to bake another batch of 42 cookies. How many cookies does Jenny have in total then?

Claude-3 Sonnet:

    Okay, let's recalculate with the new information.

    Given information:
    - Jenny made 1 cookie in the first batch.
    - Jenny made 42 cookies in the second batch.

    Step 1: Find the total number of cookies by adding the number of cookies from both batches.
    Total number of cookies = Number of cookies in the first batch + Number of cookies in the second batch
    Total number of cookies = 1 + 42
    Total number of cookies = 43

    Therefore, if Jenny baked 1 cookie in the first batch and 42 cookies in the second batch, she would have a total of 43 cookies.

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A lake has 35 million gallons of water. However, due to a heavy rain, an additional 45 million gallons of water was added to the lake. How many million gallons of water does the lake now contain in total?

Claude-3 Sonnet:

    To solve this problem, we need to add the initial amount of water in the lake and the additional amount of water added due to heavy rain.

    Given information:
    - The lake initially had 35 million gallons of water.
    - An additional 45 million gallons of water was added to the lake due to heavy rain.

    Step 1: Add the initial amount of water and the additional amount of water.
    Initial amount of water + Additional amount of water = Total amount of water in the lake
    35 million gallons + 45 million gallons = 80 million gallons

    Therefore, the lake now contains a total of 80 million gallons of water.

    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Follow-up

Problem: Suppose initially, the lake had 20 million gallons of water instead of 35 million gallons before the heavy rainfall. Now, how many million gallons of water does the lake contain in total after the same 45 million gallons of rainwater is added?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - The lake initially had 20 million gallons of water.
    - An additional 45 million gallons of water was added to the lake due to heavy rain.

    Step 1: Add the initial amount of water and the additional amount of water.
    Initial amount of water + Additional amount of water = Total amount of water in the lake
    20 million gallons + 45 million gallons = 65 million gallons

    Therefore, with the initial amount of 20 million gallons of water in the lake before the heavy rainfall, and after adding 45 million gallons of rainwater, the lake now contains a total of 65 million gallons of water.

    ### Answer: 65

Expected answer: 65

Correct? Yes

🔗 Problem

Problem: In a banquet hall, there are 34 tables on the left side and 19 tables on the right side. After a while, 52 tables were shifted to another hall for a different event. How many tables are left in the banquet hall after the shift?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of tables in the banquet hall initially and then subtract the number of tables shifted to another hall.

    Given information:
    - There are 34 tables on the left side of the banquet hall.
    - There are 19 tables on the right side of the banquet hall.
    - 52 tables were shifted to another hall for a different event.

    Step 1: Find the total number of tables in the banquet hall initially.
    Total number of tables = Number of tables on the left side + Number of tables on the right side
    Total number of tables = 34 + 19 = 53 tables

    Step 2: Find the number of tables left in the banquet hall after the shift.
    Number of tables left = Total number of tables - Number of tables shifted
    Number of tables left = 53 - 52 = 1 table

    Therefore, after shifting 52 tables to another hall, there is 1 table left in the banquet hall.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: After the end of the event, the management decided to add 35 more tables to the left side of the banquet hall along with the existing 34 tables. However, again 52 tables were moved out for another small event. Now, how many tables are left in the banquet hall after this shift?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of tables in the banquet hall after adding 35 more tables to the left side, and then subtract the number of tables shifted for the small event.

    Given information:
    - Initially, there were 34 tables on the left side and 19 tables on the right side.
    - After the end of the event, 35 more tables were added to the left side.
    - 52 tables were moved out for another small event.

    Step 1: Find the total number of tables in the banquet hall after adding 35 more tables to the left side.
    Number of tables on the left side after adding 35 more tables = 34 + 35 = 69 tables
    Total number of tables = Number of tables on the left side + Number of tables on the right side
    Total number of tables = 69 + 19 = 88 tables

    Step 2: Find the number of tables left in the banquet hall after shifting 52 tables for the small event.
    Number of tables left = Total number of tables - Number of tables shifted
    Number of tables left = 88 - 52 = 36 tables

    Therefore, after adding 35 more tables to the left side and shifting 52 tables for another small event, there are 36 tables left in the banquet hall.

    ### Answer: 36

Expected answer: 17

Correct? No

🔗 Problem

Problem: A superhero has saved 49 people from a devastating fire. Feeling inspired, he decides to save even more people. By the end of the day, he saves an additional 18 people from various crises around the city. How many people did the superhero save in total?

Claude-3 Sonnet:

    To solve this problem, we need to add the number of people the superhero saved from the devastating fire and the additional people he saved from various crises around the city.

    Given information:
    - The superhero saved 49 people from a devastating fire.
    - The superhero saved an additional 18 people from various crises around the city.

    Step 1: Add the number of people saved from the devastating fire and the additional people saved.
    Number of people saved from the devastating fire + Additional people saved = Total people saved
    49 + 18 = 67

    Therefore, the superhero saved a total of 67 people.

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Follow-up

Problem: After his successful day of rescues, the superhero becomes even more determined to protect his city. Suppose instead of the 49 people he initially saved, he had actually saved 80 people. Then, he still performs additional rescues throughout the day and saves another 18 people. How many people would the superhero have saved in total in this scenario?

Claude-3 Sonnet:

    In this scenario, we need to find the total number of people the superhero saved by adding the number of people he initially saved from the devastating fire and the additional people he saved from various crises around the city.

    Given information:
    - The superhero saved 80 people from the devastating fire (instead of 49).
    - The superhero saved an additional 18 people from various crises around the city.

    Step 1: Add the number of people saved from the devastating fire and the additional people saved.
    Number of people saved from the devastating fire + Additional people saved = Total people saved
    80 + 18 = 98

    Therefore, in this scenario, the superhero would have saved a total of 98 people.

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Problem

Problem: An artist has 88 tubes of paint. After creating a series of paintings, he realizes that he is left with 66 tubes. How many tubes of paint did he use in his creation?

Claude-3 Sonnet:

    To solve this problem, we need to find the difference between the initial number of tubes of paint and the number of tubes left after creating the paintings.

    Given information:
    - The artist initially had 88 tubes of paint.
    - After creating the paintings, the artist was left with 66 tubes of paint.

    Step 1: Find the number of tubes of paint used in the creation.
    Number of tubes of paint used = Initial number of tubes - Number of tubes left
    Number of tubes of paint used = 88 - 66
    Number of tubes of paint used = 22

    Therefore, the artist used 22 tubes of paint in his creation.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Follow-up

Problem: Let's consider a different scenario. Suppose the artist started with the same 88 tubes of paint, but after working, he found that he was left with 69 tubes. How many tubes of paint did he use in this situation?

Claude-3 Sonnet:

    Okay, let's consider the new scenario.

    Given information:
    - The artist initially had 88 tubes of paint.
    - After creating the paintings, the artist was left with 69 tubes of paint.

    To find the number of tubes of paint used, we need to subtract the number of tubes left from the initial number of tubes.

    Step 1: Find the number of tubes of paint used in the creation.
    Number of tubes of paint used = Initial number of tubes - Number of tubes left
    Number of tubes of paint used = 88 - 69
    Number of tubes of paint used = 19

    Therefore, in this situation, the artist used 19 tubes of paint in his creation.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Problem

Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. How many bubbles are there in the Bubble village altogether?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of bubbles in the Bubble village after the dark pink bubbles joined the light pink bubbles.

    Given information:
    - There are 16 light pink bubbles in the Bubble village initially.
    - 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles.

    To find the total number of bubbles, we need to add the number of light pink bubbles and the number of dark pink bubbles.

    Total number of bubbles = Number of light pink bubbles + Number of dark pink bubbles
    Total number of bubbles = 16 + 46
    Total number of bubbles = 62

    Therefore, there are 62 bubbles in the Bubble village altogether after the dark pink bubbles joined the light pink bubbles.

    ### Answer: 62

Expected answer: 62

Correct? Yes

🔗 Follow-up

Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. Then, a bubbly wind blew and brought in 13 more multi-colored bubbles into the village. How many bubbles are there in the Bubble village now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of bubbles in the Bubble village after the dark pink bubbles and the multi-colored bubbles joined the light pink bubbles.

    Given information:
    - There are 16 light pink bubbles in the Bubble village initially.
    - 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles.
    - A bubbly wind blew and brought in 13 more multi-colored bubbles into the village.

    Step 1: Find the total number of bubbles after the dark pink bubbles joined the light pink bubbles.
    Total number of bubbles = Number of light pink bubbles + Number of dark pink bubbles
    Total number of bubbles = 16 + 46 = 62

    Step 2: Add the number of multi-colored bubbles to the total number of bubbles from Step 1.
    Total number of bubbles = Total number of bubbles after dark pink bubbles joined + Number of multi-colored bubbles
    Total number of bubbles = 62 + 13 = 75

    Therefore, there are 75 bubbles in the Bubble village now after the dark pink bubbles and the multi-colored bubbles joined the light pink bubbles.

    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Follow-up

Problem: In the Bubble village, initially there were 16 light pink bubbles. But instead of 46 dark pink bubbles that floated in from a neighboring village, suppose there were 63 dark pink bubbles. How many bubbles will be there in the Bubble village now?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - There are 16 light pink bubbles in the Bubble village initially.
    - 63 dark pink bubbles float in from a neighboring village and join the light pink bubbles.

    To find the total number of bubbles, we need to add the number of light pink bubbles and the number of dark pink bubbles.

    Total number of bubbles = Number of light pink bubbles + Number of dark pink bubbles
    Total number of bubbles = 16 + 63
    Total number of bubbles = 79

    Therefore, there will be 79 bubbles in the Bubble village after 63 dark pink bubbles joined the 16 light pink bubbles.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A farmer planted 58 new apple trees in his orchard. After a few weeks, he planted an additional 2 apple trees. How many apple trees do the farmer have in all?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of apple trees the farmer has after planting the additional 2 trees.

    Given information:
    - The farmer initially planted 58 new apple trees.
    - The farmer later planted an additional 2 apple trees.

    Step 1: Find the total number of apple trees after planting the additional 2 trees.
    Total number of apple trees = Initial number of apple trees + Additional number of apple trees
    Total number of apple trees = 58 + 2
    Total number of apple trees = 60

    Therefore, the farmer has a total of 60 apple trees in all.

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: After reviewing his records, the farmer realized that he made a mistake when counting. He originally had planted 29 apple trees, not 58. He still added the same 2 additional trees later. Now, how many apple trees does the farmer have in total?

Claude-3 Sonnet:

    Okay, let's recalculate the total number of apple trees with the corrected initial number of trees.

    Given information:
    - The farmer originally planted 29 apple trees (not 58).
    - The farmer later planted an additional 2 apple trees.

    Step 1: Find the total number of apple trees after planting the additional 2 trees.
    Total number of apple trees = Initial number of apple trees + Additional number of apple trees
    Total number of apple trees = 29 + 2
    Total number of apple trees = 31

    Therefore, with the corrected initial number of apple trees, the farmer now has a total of 31 apple trees.

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: Susie has a collection of roller skates. She has 44 pairs of roller skates in her bedroom. She has the exact same number of roller skates in her basement. How many pairs of roller skates does Susie have in total?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of pairs of roller skates Susie has, given that she has the same number of pairs in her bedroom and basement.

    Given information:
    - Susie has 44 pairs of roller skates in her bedroom.
    - Susie has the exact same number of roller skates in her basement as in her bedroom.

    Step 1: Find the number of pairs of roller skates in the basement.
    Number of pairs of roller skates in the basement = Number of pairs of roller skates in the bedroom
    Number of pairs of roller skates in the basement = 44 pairs

    Step 2: Find the total number of pairs of roller skates Susie has.
    Total number of pairs of roller skates = Number of pairs in the bedroom + Number of pairs in the basement
    Total number of pairs of roller skates = 44 pairs + 44 pairs
    Total number of pairs of roller skates = 88 pairs

    Therefore, Susie has a total of 88 pairs of roller skates.

    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: Susie was mistaken about the number of pairs of roller skates she owns. Instead of 44, she has 16 pairs of roller skates in her bedroom, and she also has the same quantity in her basement. How many pairs of roller skates does she actually have in total?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - Susie has 16 pairs of roller skates in her bedroom.
    - Susie has the same number of pairs of roller skates in her basement as in her bedroom.

    Step 1: Find the number of pairs of roller skates in the basement.
    Number of pairs of roller skates in the basement = Number of pairs of roller skates in the bedroom
    Number of pairs of roller skates in the basement = 16 pairs

    Step 2: Find the total number of pairs of roller skates Susie has.
    Total number of pairs of roller skates = Number of pairs in the bedroom + Number of pairs in the basement
    Total number of pairs of roller skates = 16 pairs + 16 pairs
    Total number of pairs of roller skates = 32 pairs

    Therefore, Susie actually has a total of 32 pairs of roller skates.

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: Amy was trying to pair all her socks. In one box, she found 19 red socks, and in another, she found 41 blue socks. She had originally thought she had 87 total socks. How many socks does she have left to find and pair after considering the red and blue socks?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of socks Amy found in the two boxes and then subtract it from the original total number of socks she thought she had.

    Given information:
    - Amy found 19 red socks in one box.
    - Amy found 41 blue socks in another box.
    - Amy originally thought she had 87 total socks.

    Step 1: Find the total number of socks Amy found in the two boxes.
    Total socks found = Number of red socks + Number of blue socks
    Total socks found = 19 + 41 = 60 socks

    Step 2: Find the number of socks Amy has left to find and pair.
    Number of socks left to find = Original total number of socks - Total socks found
    Number of socks left to find = 87 - 60 = 27 socks

    Therefore, Amy has 27 socks left to find and pair after considering the red and blue socks.

    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: Amy remembered that she actually found 16 blue socks, not 41, in the other box along with the 19 red socks. With this new count, how many socks does she have left to find and pair from the original total of 87 socks?

Claude-3 Sonnet:

    Okay, let's recalculate with the updated information.

    Given information:
    - Amy found 19 red socks in one box.
    - Amy found 16 blue socks in another box (not 41).
    - Amy originally thought she had 87 total socks.

    Step 1: Find the total number of socks Amy found in the two boxes.
    Total socks found = Number of red socks + Number of blue socks
    Total socks found = 19 + 16 = 35 socks

    Step 2: Find the number of socks Amy has left to find and pair.
    Number of socks left to find = Original total number of socks - Total socks found
    Number of socks left to find = 87 - 35 = 52 socks

    Therefore, with the updated count of 16 blue socks, Amy has 52 socks left to find and pair from the original total of 87 socks.

    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Problem

Problem: A wizard has concocted a magical spell that requires the combination of 11 different herbs and 57 assorted crystals. In a different potion, the wizard needs to combine 26 rare ingredients as well as all the ingredients he used in the first spell. How many total ingredients does the wizard need for the second potion?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of ingredients required for the second potion.

    Given information:
    - The first spell requires 11 different herbs and 57 assorted crystals.
    - The second potion requires 26 rare ingredients and all the ingredients used in the first spell.

    Step 1: Find the total number of ingredients required for the first spell.
    Number of ingredients for the first spell = Number of herbs + Number of crystals
    Number of ingredients for the first spell = 11 + 57 = 68

    Step 2: Find the total number of ingredients required for the second potion.
    Number of ingredients for the second potion = Number of rare ingredients + Number of ingredients for the first spell
    Number of ingredients for the second potion = 26 + 68 = 94

    Therefore, the wizard needs a total of 94 ingredients for the second potion.

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: After the wizard consolidated his potion-making knowledge from his earlier concoctions, he decided to modify the second potion. Instead of combining 26 rare ingredients as he did previously, he opts to combine only 18 rare ingredients with all the ingredients from the first potion. How many total ingredients does the wizard now need for this modified version of the second potion?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of ingredients required for the modified version of the second potion.

    Given information:
    - The first spell requires 11 different herbs and 57 assorted crystals.
    - The modified second potion requires 18 rare ingredients and all the ingredients used in the first spell.

    Step 1: Find the total number of ingredients required for the first spell.
    Number of ingredients for the first spell = Number of herbs + Number of crystals
    Number of ingredients for the first spell = 11 + 57 = 68

    Step 2: Find the total number of ingredients required for the modified second potion.
    Number of ingredients for the modified second potion = Number of rare ingredients + Number of ingredients for the first spell
    Number of ingredients for the modified second potion = 18 + 68 = 86

    Therefore, the wizard needs a total of 86 ingredients for the modified version of the second potion.

    ### Answer: 86

Expected answer: 86

Correct? Yes

🔗 Problem

Problem: You have a map containing 13 treasure locations. Then, you found another map containing 55 more locations. How many treasure locations are there in total on both maps?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of treasure locations on both maps.

    Given information:
    - The first map contains 13 treasure locations.
    - The second map contains 55 additional treasure locations.

    To find the total number of treasure locations, we need to add the number of locations on both maps.

    Step 1: Find the number of locations on the first map.
    Number of locations on the first map = 13

    Step 2: Find the number of locations on the second map.
    Number of locations on the second map = 55

    Step 3: Find the total number of locations by adding the locations on both maps.
    Total number of locations = Number of locations on the first map + Number of locations on the second map
    Total number of locations = 13 + 55
    Total number of locations = 68

    Therefore, there are a total of 68 treasure locations on both maps.

    ### Answer: 68

Expected answer: 68

Correct? Yes

🔗 Follow-up

Problem: Suppose that instead of finding another map with 55 treasure locations, you found a map with 83 additional locations. Now, how many treasure locations are there in total on both maps?

Claude-3 Sonnet:

    Okay, let's solve this problem with the updated information.

    Given information:
    - The first map contains 13 treasure locations.
    - The second map contains 83 additional treasure locations.

    To find the total number of treasure locations, we need to add the number of locations on both maps.

    Step 1: Find the number of locations on the first map.
    Number of locations on the first map = 13

    Step 2: Find the number of locations on the second map.
    Number of locations on the second map = 83

    Step 3: Find the total number of locations by adding the locations on both maps.
    Total number of locations = Number of locations on the first map + Number of locations on the second map
    Total number of locations = 13 + 83
    Total number of locations = 96

    Therefore, with the second map containing 83 additional treasure locations, there are a total of 96 treasure locations on both maps.

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: You have a vegetable garden with a special spot dedicated to growing carrots. Initially, you planted 26 carrot seeds. A few weeks later, you added 22 more seeds. How many carrot seeds are there in total in your carrot spot?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of carrot seeds in the carrot spot by adding the initial number of seeds planted and the additional seeds planted later.

    Given information:
    - Initially, you planted 26 carrot seeds.
    - A few weeks later, you added 22 more seeds.

    Step 1: Find the total number of carrot seeds by adding the initial number of seeds and the additional seeds.
    Total number of carrot seeds = Initial number of seeds + Additional seeds
    Total number of carrot seeds = 26 + 22
    Total number of carrot seeds = 48

    Therefore, there are 48 carrot seeds in total in your carrot spot.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: You have a vegetable garden with a special spot dedicated to growing carrots. Initially, you planted 26 carrot seeds. A few weeks later, you added 22 more seeds. How many carrot seeds are there in total? Now, your neighbor gives you an additional same number of carrot seeds as the ones you initially planted (26 seeds). After adding these seeds too, how many carrot seeds do you have in total?

Claude-3 Sonnet:

    Okay, let's break this down step-by-step:

    Initially, you planted 26 carrot seeds.
    A few weeks later, you added 22 more seeds.
    So the total number of seeds after the first addition was:
    26 + 22 = 48 seeds

    Now, your neighbor gives you an additional same number of carrot seeds as the ones you initially planted, which is 26 seeds.

    To find the new total, we take the previous total (48 seeds) and add the additional seeds from your neighbor (26 seeds):

    Previous total: 48 seeds
    Additional seeds from neighbor: 26 seeds
    New total = 48 + 26
                = 74 seeds

    Therefore, after adding the seeds from your neighbor, you have a total of 74 carrot seeds in your carrot spot.

    ### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, you initially planted 26 carrot seeds in your vegetable garden. But imagine if instead, you initially put 55 carrot seeds. And then a few weeks later, you added the same 22 more seeds. How many carrot seeds would there be in total in that case?

Claude-3 Sonnet:

    In this problem, we need to find the total number of carrot seeds in the carrot spot, given that the initial number of seeds planted was 55, and a few weeks later, 22 more seeds were added.

    Given information:
    - Initially, you planted 55 carrot seeds.
    - A few weeks later, you added 22 more seeds.

    Step 1: Find the total number of carrot seeds by adding the initial number of seeds and the additional seeds.
    Total number of carrot seeds = Initial number of seeds + Additional seeds
    Total number of carrot seeds = 55 + 22
    Total number of carrot seeds = 77

    Therefore, if you initially planted 55 carrot seeds and then added 22 more seeds a few weeks later, there would be a total of 77 carrot seeds in your carrot spot.

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Problem

Problem: At a beach party, there are 21 beach balls being played with. Suddenly, another batch of beach balls just as big as the first one arrived. How many beach balls are there at the party now?

Claude-3 Sonnet:

    To solve this problem, we need to find the total number of beach balls after the second batch arrived.

    Given information:
    - Initially, there were 21 beach balls at the party.
    - Another batch of beach balls arrived, and the size of the second batch is the same as the first batch.

    Since the second batch is just as big as the first one, it means that the number of beach balls in the second batch is also 21.

    To find the total number of beach balls after the second batch arrived, we need to add the number of beach balls in the first batch and the second batch.

    Total number of beach balls = Number of beach balls in the first batch + Number of beach balls in the second batch
    Total number of beach balls = 21 + 21
    Total number of beach balls = 42

    Therefore, there are 42 beach balls at the party now.

    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: At the beach party mentioned earlier, there were some beach balls already in a storage unit. After adding all the played and newly received beach balls, the total number of beach balls fell short of 62. How many beach balls were originally in the storage unit before the party?

Claude-3 Sonnet:

    To solve this problem, we need to find the number of beach balls that were originally in the storage unit before the party.

    Given information:
    - Initially, there were 21 beach balls being played with at the party.
    - Another batch of 21 beach balls arrived (same size as the first batch).
    - After adding all the beach balls (played, newly received, and those in the storage unit), the total number fell short of 62.

    Let's represent the number of beach balls originally in the storage unit as x.

    Total number of beach balls = Beach balls being played + Beach balls in the new batch + Beach balls in the storage unit
    62 - (21 + 21) = x

    Simplifying the equation:
    62 - 42 = x
    20 = x

    Therefore, there were 20 beach balls originally in the storage unit before the party.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: In our previous beach party scenario, what if there were originally 29 beach balls being played with instead of 21, and again, another batch of beach balls just as big as the first one arrived? How many beach balls would there be at the party in this case?

Claude-3 Sonnet:

    In this case, we have the following information:

    Given:
    - Initially, there were 29 beach balls at the party.
    - Another batch of beach balls arrived, and the size of the second batch is the same as the first batch, which means there are also 29 beach balls in the second batch.

    To find the total number of beach balls after the second batch arrived, we need to add the number of beach balls in the first batch and the second batch.

    Total number of beach balls = Number of beach balls in the first batch + Number of beach balls in the second batch
    Total number of beach balls = 29 + 29
    Total number of beach balls = 58

    Therefore, if there were originally 29 beach balls and another batch of 29 beach balls arrived, there would be a total of 58 beach balls at the party.

    ### Answer: 58

Expected answer: 58

Correct? Yes