Claude-3 Sonnet on 2.OA.A.1
Common Core Standard 2.OA.A.1
This standard covers the following:
Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Problem: Harvey has 70 roller skates in his shop. If 42 of those roller skates are for children, how many roller skates does Harvey have for adults?
Claude-3 Sonnet:
To solve this problem, we need to find the number of roller skates that are not for children, which will be the number of roller skates for adults. Given information: - Harvey has a total of 70 roller skates in his shop. - 42 of those roller skates are for children. Step 1: Find the number of roller skates that are not for children. Total number of roller skates - Number of roller skates for children = Number of roller skates for adults 70 - 42 = 28 Therefore, Harvey has 28 roller skates for adults in his shop. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A town has 98 dogs in total. Some dogs relocated to another town, leaving 73 dogs. How many dogs relocated from the town?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of dogs and the number of dogs remaining after the relocation. Given information: - The town initially had 98 dogs. - After some dogs relocated, there were 73 dogs remaining. Step 1: Find the number of dogs that relocated. Number of dogs that relocated = Initial number of dogs - Number of dogs remaining Number of dogs that relocated = 98 - 73 Number of dogs that relocated = 25 Therefore, 25 dogs relocated from the town. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Captain Bruce's pirate ship weighs 78 tons with all the crew members and cargo. However, once they remove the cargo which weighs 74 tons, the weight of the ship with just the crew is needed. What is the weight of the pirate ship with just the crew (in tons)?
Claude-3 Sonnet:
To solve this problem, we need to find the weight of the pirate ship without the cargo. Given information: - The weight of the pirate ship with all the crew members and cargo is 78 tons. - The weight of the cargo is 74 tons. To find the weight of the pirate ship with just the crew, we need to subtract the weight of the cargo from the total weight of the ship with all the crew members and cargo. Weight of the pirate ship with just the crew = Total weight of the ship with all the crew members and cargo - Weight of the cargo Weight of the pirate ship with just the crew = 78 tons - 74 tons Weight of the pirate ship with just the crew = 4 tons Therefore, the weight of the pirate ship with just the crew is 4 tons. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Sam has 22 strings for his kites. He then adds some more to his collection and ends up with a total of 41 strings. How many extra strings did Sam add to his collection?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of strings Sam has after adding more and the initial number of strings he had. Given information: - Sam initially had 22 strings for his kites. - After adding more strings, Sam has a total of 41 strings. Step 1: Find the number of extra strings Sam added to his collection. Number of extra strings added = Total number of strings after adding - Initial number of strings Number of extra strings added = 41 - 22 Number of extra strings added = 19 Therefore, Sam added 19 extra strings to his collection. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: A UFO landed in a field and left 82 crop circles. If we already found 34 of them, how many crop circles are we yet to discover?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of crop circles and the number of crop circles already found. Given information: - The UFO left 82 crop circles in the field. - 34 crop circles have already been found. Step 1: Find the number of crop circles yet to be discovered. Number of crop circles yet to be discovered = Total number of crop circles - Number of crop circles already found Number of crop circles yet to be discovered = 82 - 34 Number of crop circles yet to be discovered = 48 Therefore, we are yet to discover 48 crop circles. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: John spends 7 hours working on a puzzle. He takes an additional amount of time 'b' to finish the puzzle completely. If altogether he spends 13 hours working on the puzzle, how many additional hours does he spend to finish it?
Claude-3 Sonnet:
To solve this problem, we need to find the value of 'b', which represents the additional time John spent to finish the puzzle. Given information: - John spends 7 hours working on the puzzle initially. - He takes an additional amount of time 'b' to finish the puzzle completely. - Altogether, he spends 13 hours working on the puzzle. We can represent this information using an equation: 7 + b = 13 Rearranging the equation to find the value of 'b': b = 13 - 7 b = 6 Therefore, John spent an additional 6 hours to finish the puzzle completely. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In the computer lab, there are 31 computers. However, one of the computers is just an added practice unit and not counted as a regular computer for students to use. How many computers are available for students to use in the computer lab?
Claude-3 Sonnet:
To solve this problem, we need to subtract the number of practice units from the total number of computers in the lab. Given information: - There are 31 computers in the computer lab. - One of the computers is a practice unit and not counted as a regular computer for students to use. Step 1: Subtract the number of practice units from the total number of computers. Number of computers available for students = Total number of computers - Number of practice units Number of computers available for students = 31 - 1 = 30 Therefore, there are 30 computers available for students to use in the computer lab. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: John has 28 miles on his scooter's odometer. Later that day, he checks the odometer and it reads 70 miles. How many miles did John ride his scooter today?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final and initial odometer readings. Given information: - Initial odometer reading: 28 miles - Final odometer reading: 70 miles Step 1: Find the difference between the final and initial odometer readings. Final odometer reading - Initial odometer reading = Distance traveled 70 miles - 28 miles = 42 miles Therefore, John rode his scooter for 42 miles today. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: In a warehouse, a worker counts 58 bottles. Upon recount, he realizes he had miscounted and there was actually one bottle less than his original count. How many bottles are actually in the warehouse?
Claude-3 Sonnet:
To solve this problem, we need to find the actual number of bottles in the warehouse based on the given information. Given information: - The worker initially counted 58 bottles. - Upon recounting, the worker realized that there was one bottle less than the original count. Step 1: Find the number of bottles less than the original count. Number of bottles less than the original count = 1 Step 2: Subtract the number of bottles less from the original count to find the actual number of bottles. Actual number of bottles = Original count - Number of bottles less Actual number of bottles = 58 - 1 Actual number of bottles = 57 Therefore, there are actually 57 bottles in the warehouse. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: A compass is initially pointing towards a bearing of 48 degrees. It then rotates to point towards a bearing of 74 degrees. By how many degrees did the compass rotate?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial bearing and the final bearing of the compass. Given information: - The initial bearing of the compass is 48 degrees. - The final bearing of the compass is 74 degrees. Step 1: Find the difference between the final bearing and the initial bearing. Difference in bearing = Final bearing - Initial bearing Difference in bearing = 74 degrees - 48 degrees Difference in bearing = 26 degrees Therefore, the compass rotated by 26 degrees to change its bearing from 48 degrees to 74 degrees. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A bear eats 89 pounds of food. It still needs to eat a certain amount of food 't' to reach its goal of 92 pounds of food. How much more food in pounds does the bear need to eat?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the bear's goal of 92 pounds of food and the amount of food it has already eaten, which is 89 pounds. Given information: - The bear has eaten 89 pounds of food. - The bear's goal is to eat 92 pounds of food. Step 1: Find the difference between the bear's goal and the amount of food it has already eaten. Bear's goal - Amount of food already eaten = Amount of food needed 92 pounds - 89 pounds = t Step 2: Simplify the expression. t = 92 pounds - 89 pounds t = 3 pounds Therefore, the bear needs to eat 3 more pounds of food to reach its goal of 92 pounds. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A princess has 14 jewels stored in her kingdom. Her loyal subject finds some more jewels and brings them to her, and now she has a total of 49 jewels. How many jewels did her subject find and present to her?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of jewels the princess has after her subject brought her more jewels and the initial number of jewels she had. Given information: - The princess initially had 14 jewels. - After her subject brought her more jewels, she now has a total of 49 jewels. Step 1: Find the number of jewels her subject brought to her. Number of jewels brought by the subject = Total number of jewels after - Initial number of jewels Number of jewels brought by the subject = 49 - 14 Number of jewels brought by the subject = 35 Therefore, the subject found and presented 35 jewels to the princess. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: Doctor Lisa initially has 93 patients. After some time, she only has 61 patients left. How many patients does Doctor Lisa no longer treat?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of patients and the remaining number of patients. Given information: - Doctor Lisa initially had 93 patients. - After some time, she has 61 patients left. Step 1: Find the number of patients that Doctor Lisa no longer treats. Number of patients no longer treated = Initial number of patients - Remaining number of patients Number of patients no longer treated = 93 - 61 Number of patients no longer treated = 32 Therefore, Doctor Lisa no longer treats 32 patients. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Emily has 98 stuffed animals in her collection. After giving some to her friend, she is left with 95 stuffed animals. How many stuffed animals did Emily give to her friend?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of stuffed animals Emily had and the number of stuffed animals she was left with after giving some to her friend. Given information: - Emily initially had 98 stuffed animals. - After giving some to her friend, she was left with 95 stuffed animals. Step 1: Find the number of stuffed animals Emily gave to her friend. Number of stuffed animals given to her friend = Initial number of stuffed animals - Number of stuffed animals left Number of stuffed animals given to her friend = 98 - 95 Number of stuffed animals given to her friend = 3 Therefore, Emily gave 3 stuffed animals to her friend. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In a forest, there are 83 trees in total. After a storm, some trees got uprooted reducing the count to 12. How many trees were uprooted by the storm?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of trees and the number of trees remaining after the storm. Given information: - There were 83 trees in the forest initially. - After the storm, there were 12 trees remaining. Step 1: Find the number of trees uprooted by the storm. Number of trees uprooted = Initial number of trees - Number of trees remaining after the storm Number of trees uprooted = 83 - 12 Number of trees uprooted = 71 Therefore, 71 trees were uprooted by the storm. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: The weather forecast predicted 52 mm of rainfall. After measuring the actual rainfall, it turned out to be 15 mm less than predicted. How many millimeters of rain actually fell?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the predicted rainfall and the given amount of 15 mm less than predicted. Given information: - The weather forecast predicted 52 mm of rainfall. - The actual rainfall was 15 mm less than predicted. Step 1: Subtract 15 mm from the predicted rainfall of 52 mm. Predicted rainfall - Amount less than predicted = Actual rainfall 52 mm - 15 mm = 37 mm Therefore, 37 mm of rain actually fell. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: Anna has a clothing store and there are 63 skirts in total. If she already had 62 skirts in the store and then took in some more. How many skirts did Anna add to her store?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of skirts and the number of skirts Anna already had in the store. Given information: - There are 63 skirts in total. - Anna already had 62 skirts in the store. Step 1: Find the number of skirts Anna added to the store. Number of skirts added = Total number of skirts - Number of skirts already in the store Number of skirts added = 63 - 62 Number of skirts added = 1 Therefore, Anna added 1 skirt to her store. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Jack has a number of building blocks. After he lost 64 of them, he is left with 24 building blocks. How many building blocks did Jack initially have?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of building blocks Jack had before losing 64 of them. Given information: - Jack lost 64 building blocks. - After losing 64 building blocks, he is left with 24 building blocks. Let's represent the initial number of building blocks as x. We know that the initial number of building blocks minus the number of building blocks lost is equal to the remaining number of building blocks. x - 64 = 24 To find x, we need to add 64 to both sides of the equation. x - 64 + 64 = 24 + 64 x = 88 Therefore, Jack initially had 88 building blocks before losing 64 of them. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: A store originally has 25 jackets in stock. After selling a number of them, they find they only have 11 left. What is the number of jackets that were sold?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original number of jackets and the remaining number of jackets. Given information: - The store originally had 25 jackets in stock. - After selling some jackets, they have 11 jackets left. Step 1: Find the number of jackets sold. Number of jackets sold = Original number of jackets - Remaining number of jackets Number of jackets sold = 25 - 11 Number of jackets sold = 14 Therefore, the number of jackets that were sold is 14. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: John had 36 bananas. After selling some bananas to his friend, he has 34 left. How many bananas did John sell to his friend?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of bananas John had and the number of bananas he has left after selling some to his friend. Given information: - John initially had 36 bananas. - After selling some bananas to his friend, John has 34 bananas left. Step 1: Find the number of bananas John sold to his friend. Number of bananas sold = Initial number of bananas - Number of bananas left Number of bananas sold = 36 - 34 Number of bananas sold = 2 Therefore, John sold 2 bananas to his friend. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Julia has 66 sunglasses in her collection. After she sells some sunglasses, she now has 22 left. How many sunglasses did Julia sell?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of sunglasses Julia had and the number of sunglasses she has left after selling some. Given information: - Julia initially had 66 sunglasses in her collection. - After selling some sunglasses, she has 22 sunglasses left. Step 1: Find the number of sunglasses Julia sold. Number of sunglasses sold = Initial number of sunglasses - Number of sunglasses left Number of sunglasses sold = 66 - 22 Number of sunglasses sold = 44 Therefore, Julia sold 44 sunglasses from her collection. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: A music album has a total of 40 songs. If you subtract the number of romantic songs from the total, you have 20 songs left. How many romantic songs are in the album?
Claude-3 Sonnet:
To solve this problem, we need to find the number of romantic songs in the album. Given information: - The music album has a total of 40 songs. - After subtracting the number of romantic songs from the total, there are 20 songs left. Let's represent the number of romantic songs as x. Total songs = Romantic songs + Non-romantic songs 40 = x + (40 - x) 40 = x + 40 - x 40 = 40 0 = 0 (This equation is true for any value of x) However, we know that after subtracting the number of romantic songs from the total, there are 20 songs left. Non-romantic songs = 40 - x = 20 40 - x = 20 x = 40 - 20 x = 20 Therefore, the number of romantic songs in the album is 20. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: A camping accessories shop starts with 'a' number of sleeping bags. After selling 36 of them, they are only left with 35. What was the original number of sleeping bags in the shop?
Claude-3 Sonnet:
To solve this problem, we need to find the original number of sleeping bags in the shop. Given information: - The shop sold 36 sleeping bags. - After selling 36 sleeping bags, they are left with 35 sleeping bags. Let's represent the original number of sleeping bags as 'a'. After selling 36 sleeping bags, the remaining number of sleeping bags is (a - 36). We know that the remaining number of sleeping bags is 35. Therefore, we can write the equation: a - 36 = 35 Rearranging the equation, we get: a = 35 + 36 a = 71 Therefore, the original number of sleeping bags in the shop was 71. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: Emily has $19 in her piggy bank. She found some money on the street and added it to her savings. If Emily added $11 to her piggy bank, how much money did she originally have in her piggy bank before she found the money?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of money Emily had in her piggy bank before she found the money on the street. Given information: - Emily has $19 in her piggy bank after adding the money she found on the street. - Emily added $11 to her piggy bank. Let's represent the amount of money Emily originally had in her piggy bank as x. We know that the original amount (x) plus the money she found ($11) equals the total amount she has now ($19). x + $11 = $19 Rearranging the equation to find x: x = $19 - $11 x = $8 Therefore, Emily originally had $8 in her piggy bank before she found the money on the street. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In a geometric pattern, the total number of edges is 80. This includes the edges of a shape you added - a pentagon with 5 edges. How many edges were present in the pattern before you added the pentagon?
Claude-3 Sonnet:
To solve this problem, we need to find the number of edges present in the pattern before adding the pentagon. Given information: - The total number of edges in the pattern, including the pentagon, is 80. - The pentagon has 5 edges. Step 1: Find the number of edges contributed by the pentagon. Number of edges contributed by the pentagon = 5 Step 2: Find the number of edges present in the pattern before adding the pentagon. Number of edges before adding the pentagon = Total number of edges - Number of edges contributed by the pentagon Number of edges before adding the pentagon = 80 - 5 Number of edges before adding the pentagon = 75 Therefore, there were 75 edges present in the pattern before adding the pentagon. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: A gardener plants a certain amount of flowers in his garden. If he removes 30 of these flowers, he is left with 58 flowers. How many flowers did the gardener originally plant?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of flowers planted by the gardener. Given information: - After removing 30 flowers, the gardener is left with 58 flowers. Let's represent the initial number of flowers planted as x. Since the gardener removed 30 flowers, we can write the equation: x - 30 = 58 Rearranging the equation to solve for x: x - 30 + 30 = 58 + 30 x = 88 Therefore, the gardener originally planted 88 flowers in his garden. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: Carrie has 88 candles in her collection. She bought 73 of these at a yard sale. How many candles did she already have before the yard sale?
Claude-3 Sonnet:
To solve this problem, we need to find the number of candles Carrie had before the yard sale. Given information: - Carrie has 88 candles in her collection. - She bought 73 candles at a yard sale. We can represent the number of candles Carrie had before the yard sale as x. Since she bought 73 candles at the yard sale, and now she has a total of 88 candles, we can write the equation: x + 73 = 88 Solving for x: x + 73 - 73 = 88 - 73 x = 15 Therefore, Carrie had 15 candles before the yard sale. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: After a medical seminar, a doctor had 47 medical books. But she wanted her collection to add up to a total of 33 more books. How many medical books does the doctor need to achieve her desired collection size?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the desired total number of books and the current number of books the doctor has. Given information: - The doctor currently has 47 medical books. - The doctor wants her collection to add up to a total of 33 more books. Step 1: Find the desired total number of books. Desired total number of books = Current number of books + 33 Desired total number of books = 47 + 33 = 80 books Step 2: Find the number of books the doctor needs to achieve the desired collection size. Number of books needed = Desired total number of books - Current number of books Number of books needed = 80 - 47 = 33 books Therefore, the doctor needs to acquire 33 more medical books to achieve her desired collection size. ### Answer: 33
Expected answer: 80
Correct? No
Problem: John travels 42 miles on his scooter. He continues to travel until he has altogether covered 89 miles. How many additional miles does he travel?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total distance traveled and the initial distance traveled by John. Given information: - John travels 42 miles on his scooter initially. - John continues to travel until he has covered a total of 89 miles. Step 1: Find the additional distance John needs to travel. Additional distance = Total distance - Initial distance Additional distance = 89 miles - 42 miles Additional distance = 47 miles Therefore, John needs to travel an additional 47 miles to cover a total distance of 89 miles. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A store has 41 beach balls in total. Some of them are green and 15 are blue. How many beach balls are green?
Claude-3 Sonnet:
To solve this problem, we need to find the number of green beach balls given the total number of beach balls and the number of blue beach balls. Given information: - The store has a total of 41 beach balls. - 15 of the beach balls are blue. Since the beach balls are either green or blue, we can find the number of green beach balls by subtracting the number of blue beach balls from the total number of beach balls. Number of green beach balls = Total number of beach balls - Number of blue beach balls Number of green beach balls = 41 - 15 Number of green beach balls = 26 Therefore, there are 26 green beach balls in the store. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A camp is being set up with multiple tents. There are initially 38 tents set up. Afterwards, they realize that they have 99 tents in total now. How many more tents were put up after the initial setup?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of tents and the initially set up tents. Given information: - Initially, 38 tents were set up. - The total number of tents now is 99. Step 1: Find the number of tents added after the initial setup. Number of tents added = Total number of tents - Initially set up tents Number of tents added = 99 - 38 Number of tents added = 61 Therefore, 61 more tents were put up after the initial setup. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: In a video game, Craig started with 83 hit points, but after being attacked by an enemy, he ends up with 32 hit points. How many hit points did Craig lose in the attack?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between Craig's initial hit points and his hit points after the attack. Given information: - Craig started with 83 hit points. - After the attack, Craig had 32 hit points. Step 1: Find the difference between Craig's initial hit points and his hit points after the attack. Craig's initial hit points - Craig's hit points after the attack = Hit points lost in the attack 83 - 32 = 51 Therefore, Craig lost 51 hit points in the attack. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: There were 53 pencils in the box. The teacher added some pencils and total count became 56 pencils. How many pencils did the teacher add to the box?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final count of pencils and the initial count of pencils. Given information: - There were initially 53 pencils in the box. - After the teacher added some pencils, the total count became 56 pencils. Step 1: Find the number of pencils added by the teacher. Number of pencils added = Final count of pencils - Initial count of pencils Number of pencils added = 56 - 53 Number of pencils added = 3 Therefore, the teacher added 3 pencils to the box. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A circus has 99 performers. Some performers left and now there are 25 performers remaining. How many performers left?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of performers and the remaining number of performers. Given information: - The circus initially had 99 performers. - After some performers left, there are 25 performers remaining. Step 1: Find the number of performers who left. Number of performers who left = Initial number of performers - Remaining number of performers Number of performers who left = 99 - 25 Number of performers who left = 74 Therefore, 74 performers left the circus. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: A mansion has 44 doors in total. Some of these are installed and 7 of these are yet to be installed. How many doors are already installed in the mansion?
Claude-3 Sonnet:
To solve this problem, we need to find the number of doors that are already installed in the mansion. Given information: - The mansion has a total of 44 doors. - 7 doors are yet to be installed. Step 1: Find the number of doors that are already installed. Total doors - Doors yet to be installed = Doors already installed 44 - 7 = 37 Therefore, 37 doors are already installed in the mansion. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: The sun is at an angle of 'j' degrees above the horizon. If we decrease this angle by 24 degrees, it becomes 52 degrees. What was the original angle of the sun above the horizon?
Claude-3 Sonnet:
To solve this problem, we need to find the original angle of the sun above the horizon, represented by 'j' degrees. Given information: - The sun's angle above the horizon is initially 'j' degrees. - After decreasing the angle by 24 degrees, it becomes 52 degrees. Let's represent the original angle as 'j'. After decreasing the angle by 24 degrees, the new angle is 'j - 24'. We know that the new angle is 52 degrees. Therefore, we can write the equation: j - 24 = 52 To find the value of 'j', we need to add 24 to both sides of the equation: j - 24 + 24 = 52 + 24 j = 76 Therefore, the original angle of the sun above the horizon was 76 degrees. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: A hat maker has a certain number of hats. After selling 46 hats, he is left with 32 hats. How many hats did the hat maker originally have?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of hats the hat maker had before selling any. Given information: - After selling 46 hats, the hat maker is left with 32 hats. Let's represent the initial number of hats as x. Initial number of hats = x Number of hats sold = 46 Number of hats remaining = 32 We know that the initial number of hats minus the number of hats sold is equal to the number of hats remaining. x - 46 = 32 Rearranging the equation, we get: x = 32 + 46 x = 78 Therefore, the hat maker originally had 78 hats. ### Answer: 78
Expected answer: 78
Correct? Yes
Problem: A tank initially had an amount of water (let's call it 'g'). But then, 3 gallons of water were removed from it and the remaining amount of water was 40 gallons. How much water was initially in the tank?
Claude-3 Sonnet:
To solve this problem, we need to find the initial amount of water in the tank, which we denoted as 'g'. Given information: - Initially, the tank had an amount of water 'g'. - 3 gallons of water were removed from the tank. - The remaining amount of water in the tank is 40 gallons. We can represent the initial amount of water 'g' as the sum of the remaining amount of water (40 gallons) and the amount of water removed (3 gallons). g = Remaining amount of water + Amount of water removed g = 40 gallons + 3 gallons g = 43 gallons Therefore, the initial amount of water in the tank was 43 gallons. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Paul has a total of 16 keys. Among them, 2 are keys to his office. How many other keys does Paul have?
Claude-3 Sonnet:
To solve this problem, we need to find the number of keys that are not keys to Paul's office. Given information: - Paul has a total of 16 keys. - 2 of the keys are keys to his office. Step 1: Find the number of keys that are not keys to his office. Number of keys that are not keys to his office = Total number of keys - Number of keys to his office Number of keys that are not keys to his office = 16 - 2 Number of keys that are not keys to his office = 14 Therefore, Paul has 14 other keys that are not keys to his office. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: A baby has 79 toys. Over time, he loses some of them until he only has 63 toys left. How many toys did the baby lose?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of toys and the final number of toys. Given information: - The baby initially had 79 toys. - The baby has 63 toys left. Step 1: Find the number of toys the baby lost. Number of toys lost = Initial number of toys - Final number of toys Number of toys lost = 79 - 63 Number of toys lost = 16 Therefore, the baby lost 16 toys. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: There were some apples on a farm. 21 of these apples fell from the trees. Now there are 49 apples left. How many apples were there on the farm originally?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of apples on the farm originally. Given information: - 21 apples fell from the trees. - There are 49 apples left on the farm. Let's represent the total number of apples originally as x. We know that the total number of apples originally is equal to the sum of the apples that fell and the apples that are left. x = 21 (apples that fell) + 49 (apples left) x = 70 Therefore, there were originally 70 apples on the farm. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: In his cabinet, Jason has some building blocks. If he takes out 47 of these blocks, he ends up with 41 blocks left. How many building blocks did Jason have in his cabinet initially?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of building blocks Jason had in his cabinet. Given information: - After taking out 47 blocks, Jason has 41 blocks left. Let's represent the initial number of building blocks as x. Since Jason took out 47 blocks, the remaining number of blocks is x - 47 = 41. Therefore, x - 47 = 41 Rearranging the equation, we get: x = 41 + 47 x = 88 Therefore, Jason initially had 88 building blocks in his cabinet. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: A pirate found a treasure chest full of 58 gold coins. He then gave 44 of those coins to his loyal parrot. How many gold coins does the pirate have left?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of gold coins and the number of coins given to the parrot. Given information: - The pirate found a treasure chest with 58 gold coins. - The pirate gave 44 gold coins to his loyal parrot. Step 1: Find the number of gold coins the pirate has left. Number of gold coins left = Total number of gold coins - Number of gold coins given to the parrot Number of gold coins left = 58 - 44 Number of gold coins left = 14 Therefore, the pirate has 14 gold coins left. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Amy has 75 skirts in her wardrobe. If 18 of those skirts are red, how many skirts are not red?
Claude-3 Sonnet:
To solve this problem, we need to find the number of skirts that are not red. Given information: - Amy has 75 skirts in her wardrobe. - 18 of those skirts are red. To find the number of skirts that are not red, we need to subtract the number of red skirts from the total number of skirts. Step 1: Find the number of skirts that are not red. Number of skirts that are not red = Total number of skirts - Number of red skirts Number of skirts that are not red = 75 - 18 Number of skirts that are not red = 57 Therefore, 57 skirts are not red. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: John has 65% of his mobile phone battery left. After playing a game for a while, the battery level decreased to 20%. How much battery percentage did the game consume?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial battery percentage and the final battery percentage after playing the game. Given information: - John's initial battery level was 65%. - After playing the game, the battery level decreased to 20%. Step 1: Find the difference between the initial and final battery percentages. Initial battery percentage - Final battery percentage = Battery percentage consumed by the game 65% - 20% = 45% Therefore, the game consumed 45% of the battery. ### Answer: 45%
Expected answer: 45
Correct? Yes
Problem: In a large dormitory, there are a certain number of beds. When 8 beds were removed for repair, there were still 72 beds left. How many beds were there in the dormitory originally?
Claude-3 Sonnet:
To solve this problem, we need to find the original number of beds in the dormitory before 8 beds were removed for repair. Given information: - After removing 8 beds for repair, there were 72 beds left. Let's represent the original number of beds as x. Since 8 beds were removed, we can write the equation: x - 8 = 72 Solving for x: x - 8 = 72 x = 72 + 8 x = 80 Therefore, there were originally 80 beds in the dormitory before 8 beds were removed for repair. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: John has 30 shirts in his wardrobe. After shopping, he has a total of 31 shirts. How many shirts did John buy?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of shirts John had initially and the total number of shirts he has after shopping. Given information: - John initially had 30 shirts in his wardrobe. - After shopping, John has a total of 31 shirts. Step 1: Find the number of shirts John bought. Number of shirts John bought = Total number of shirts after shopping - Initial number of shirts Number of shirts John bought = 31 - 30 Number of shirts John bought = 1 Therefore, John bought 1 shirt. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A snail started at a point and traveled 57 cm in a day. If the snail ended its journey at a point 24 cm, how many centimeters did the snail travel altogether?
Claude-3 Sonnet:
To solve this problem, we need to find the total distance traveled by the snail, which is the sum of the distance traveled in a day and the distance between the starting and ending points. Given information: - The snail traveled 57 cm in a day. - The distance between the starting and ending points is 24 cm. Step 1: Find the total distance traveled by the snail. Total distance traveled = Distance traveled in a day + Distance between starting and ending points Total distance traveled = 57 cm + 24 cm Total distance traveled = 81 cm Therefore, the snail traveled a total of 81 cm altogether. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: John has 100 dog treats. He gives 55 of them to his dog, Fido. How many dog treats does John have left?
Claude-3 Sonnet:
To solve this problem, we need to subtract the number of dog treats John gave to Fido from the total number of dog treats he had initially. Given information: - John has 100 dog treats. - John gives 55 dog treats to his dog, Fido. Step 1: Subtract the number of dog treats John gave to Fido from the total number of dog treats he had initially. Number of dog treats left = Total dog treats - Dog treats given to Fido Number of dog treats left = 100 - 55 Number of dog treats left = 45 Therefore, John has 45 dog treats left after giving 55 dog treats to his dog, Fido. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In a large nature reserve, there are 96 tigers. 25 of these tigers live in the northern part of the reserve. How many tigers live in the rest of the reserve?
Claude-3 Sonnet:
To solve this problem, we need to find the number of tigers that live in the rest of the reserve, which is the total number of tigers minus the number of tigers living in the northern part. Given information: - There are 96 tigers in the large nature reserve. - 25 tigers live in the northern part of the reserve. Step 1: Find the number of tigers living in the rest of the reserve. Number of tigers living in the rest of the reserve = Total number of tigers - Number of tigers in the northern part Number of tigers living in the rest of the reserve = 96 - 25 Number of tigers living in the rest of the reserve = 71 Therefore, 71 tigers live in the rest of the nature reserve. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: In a ballet school, there are 32 children practicing for an event. Then a few more children join the practice. Now, they total 48 ballerinas. How many new children joined the practice?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of children and the final number of children after the new ones joined. Given information: - Initially, there were 32 children practicing for an event. - After some new children joined, the total number of children became 48. Step 1: Find the number of new children who joined the practice. Number of new children = Final number of children - Initial number of children Number of new children = 48 - 32 Number of new children = 16 Therefore, 16 new children joined the practice. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: There are originally 97 dinosaurs in a natural history museum's exhibit. However, the curator decides to add 'k' more of these prehistoric creatures to the exhibit. The total number of dinosaurs in the exhibit now reaches 98. Can you find out how many new dinosaurs the curator added?
Claude-3 Sonnet:
To solve this problem, we need to set up an equation using the given information and then solve for the unknown variable 'k'. Given information: - Originally, there were 97 dinosaurs in the exhibit. - After adding 'k' more dinosaurs, the total number of dinosaurs in the exhibit is 98. Let's represent the original number of dinosaurs as 97 and the total number of dinosaurs after adding 'k' as (97 + k). According to the given information, we have: 97 + k = 98 Subtracting 97 from both sides, we get: k = 98 - 97 k = 1 Therefore, the curator added 1 new dinosaur to the exhibit. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Lily has a number of dolls. If she were to donate 5 of her dolls, she would have 52 left. How many dolls does Lily have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of dolls Lily has initially. Given information: - If Lily donates 5 dolls, she will have 52 dolls left. Let's represent the total number of dolls Lily has initially as x. After donating 5 dolls, the number of dolls left is x - 5. We know that x - 5 = 52 (since she has 52 dolls left after donating 5 dolls). To find x, we need to add 5 to both sides of the equation: x - 5 + 5 = 52 + 5 x = 57 Therefore, Lily has a total of 57 dolls initially. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: A teacher initially had 'a' sheets of special star stickers in her drawer. She then used 60 stickers for rewarding her students in class, and now she has only 2 sheets left. How many sheets of star stickers did the teacher initially have in her drawer?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the number of sheets and the number of stickers, and then use the given information to set up an equation. Given information: - The teacher initially had 'a' sheets of star stickers. - She used 60 stickers for rewarding her students. - She has 2 sheets left. Let's assume that each sheet has 'x' stickers. Step 1: Find the total number of stickers the teacher initially had. Total number of stickers = Number of sheets × Number of stickers per sheet Total number of stickers = a × x Step 2: Find the number of stickers remaining after using 60 stickers. Number of stickers remaining = Total number of stickers - Number of stickers used Number of stickers remaining = (a × x) - 60 Step 3: Find the number of stickers in the remaining 2 sheets. Number of stickers in the remaining 2 sheets = 2 × x Step 4: Set up an equation by equating the number of stickers remaining to the number of stickers in the remaining 2 sheets. (a × x) - 60 = 2x Step 5: Solve the equation for 'a'. a × x - 60 = 2x a × x - 2x = 60 (a - 2)x = 60 x = 60 / (a - 2) Since we know that the teacher has 2 sheets left, we can substitute x = 2 into the equation. 2 = 60 / (a - 2) a - 2 = 30 a = 32 Therefore, the teacher initially had 32 sheets of star stickers in her drawer. ### Answer: 32
Expected answer: 62
Correct? No
Problem: Fahim went to a home decor store and bought some towels. If he bought 7 towels first, and the total towels he has now is 58, how many towels did Fahim buy in his subsequent visits to the store?
Claude-3 Sonnet:
To solve this problem, we need to find the number of towels Fahim bought in his subsequent visits to the store. Given information: - Fahim bought 7 towels first. - The total number of towels he has now is 58. Step 1: Find the number of towels Fahim bought in his subsequent visits. Total towels - Towels bought initially = Towels bought in subsequent visits 58 - 7 = 51 Therefore, Fahim bought 51 towels in his subsequent visits to the store. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: A teacher starts with 67 pencils. After some are lost, she only has 10 left. How many pencils did the teacher lose?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of pencils and the remaining number of pencils. Given information: - The teacher started with 67 pencils. - After some were lost, the teacher had 10 pencils left. Step 1: Find the number of pencils lost. Number of pencils lost = Initial number of pencils - Remaining number of pencils Number of pencils lost = 67 - 10 Number of pencils lost = 57 Therefore, the teacher lost 57 pencils. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: A backpack originally had 3 items inside. Later, an additional 69 items were added in. If a total of 72 items are now in the backpack, how many items were initially in the backpack?
Claude-3 Sonnet:
To solve this problem, we need to find the number of items initially in the backpack. Given information: - The backpack originally had some items inside. - An additional 69 items were added to the backpack. - The total number of items in the backpack now is 72. Let's represent the number of items initially in the backpack as x. We know that the total number of items in the backpack is the sum of the initial items and the additional items added. Total items = Initial items + Additional items added 72 = x + 69 Rearranging the equation, we get: x = 72 - 69 x = 3 Therefore, there were initially 3 items in the backpack. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A farmer has an unknown number of cows in his field. When he sells 39 of his cows, he is left with 55 cows. How many cows did the farmer have to start with?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of cows the farmer had before selling 39 of them. Given information: - After selling 39 cows, the farmer is left with 55 cows. Let's represent the initial number of cows as x. Since the farmer sold 39 cows, the remaining number of cows is x - 39. We know that the remaining number of cows is 55. Therefore, we can set up the equation: x - 39 = 55 Solving for x: x - 39 + 39 = 55 + 39 x = 94 Therefore, the farmer had 94 cows to start with. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: The wind speed dropped from a certain level to 29 mph and it was noticed that this was a decrease of 35 mph. What was the wind speed before it started to decrease?
Claude-3 Sonnet:
To solve this problem, we need to find the initial wind speed before the decrease. Given information: - The final wind speed after the decrease is 29 mph. - The decrease in wind speed is 35 mph. Let's represent the initial wind speed as x. Since the decrease in wind speed is 35 mph, we can write the equation: x - 35 = 29 Rearranging the equation to find x: x = 29 + 35 x = 64 Therefore, the wind speed before it started to decrease was 64 mph. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: David has a total of 79 piano keys. Among them, 46 are white keys. How many of the piano keys are black?
Claude-3 Sonnet:
To solve this problem, we need to find the number of black keys on the piano. Given information: - David has a total of 79 piano keys. - Among the 79 keys, 46 are white keys. To find the number of black keys, we need to subtract the number of white keys from the total number of keys. Number of black keys = Total number of keys - Number of white keys Number of black keys = 79 - 46 Number of black keys = 33 Therefore, there are 33 black keys on David's piano. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: The zoo started the day with some number of animals, which we'll call s. During the day, 24 animals were moved to a separate area of the zoo for cleaning and care. After this, there were still 75 animals visible to visitors in the main section of the zoo. How many animals were there in total at the zoo at the start of the day?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of animals (s) at the zoo before the 24 animals were moved to a separate area. Given information: - Initially, there were s animals at the zoo. - 24 animals were moved to a separate area. - After moving the 24 animals, there were 75 animals visible to visitors in the main section. We can represent the initial number of animals (s) as the sum of the animals in the main section (75) and the animals moved to the separate area (24). s = 75 + 24 s = 99 Therefore, there were 99 animals in total at the zoo at the start of the day. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: A zoo has 99 animals. Some animals are transferred to another zoo, and now there are 18 animals left. How many animals were transferred to the other zoo?
Claude-3 Sonnet:
To solve this problem, we need to find the number of animals that were transferred from the original zoo to the other zoo. Given information: - The zoo initially had 99 animals. - After the transfer, there are 18 animals left in the zoo. Step 1: Find the number of animals transferred to the other zoo. Number of animals transferred = Initial number of animals - Number of animals left Number of animals transferred = 99 - 18 Number of animals transferred = 81 Therefore, 81 animals were transferred to the other zoo. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: You had a certain number of strawberries, represented by 'j'. After eating 43 of them, you're left with just 13 strawberries. How many strawberries did you initially have?
Claude-3 Sonnet:
To solve this problem, we need to find the value of 'j' (the initial number of strawberries) using the given information. Given information: - After eating 43 strawberries, you have 13 strawberries left. - Let 'j' represent the initial number of strawberries. We can represent the situation using an equation: j - 43 = 13 Rearranging the equation to find 'j': j = 13 + 43 j = 56 Therefore, you initially had 56 strawberries. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: Sara has 55 items in her backpack. If she removes 51 items from her backpack, how many items are left in the backpack?
Claude-3 Sonnet:
To solve this problem, we need to subtract the number of items Sara removes from her backpack from the initial number of items in her backpack. Given information: - Sara has 55 items in her backpack. - Sara removes 51 items from her backpack. Step 1: Subtract the number of items removed from the initial number of items. Number of items left in the backpack = Initial number of items - Number of items removed Number of items left in the backpack = 55 - 51 Number of items left in the backpack = 4 Therefore, after removing 51 items from her backpack, Sara has 4 items left in her backpack. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In a local park, there are 37 climbing spots on the jungle gym. The manager decides to add some more climbing spots so that there will be 8 more spots available. How many climbing spots will there be on the jungle gym after the manager adds the new ones?
Claude-3 Sonnet:
To solve this problem, we need to find the number of climbing spots that will be added and then add it to the current number of climbing spots. Given information: - There are currently 37 climbing spots on the jungle gym. - The manager will add 8 more climbing spots. Step 1: Find the number of climbing spots that will be added. Number of climbing spots to be added = 8 Step 2: Find the total number of climbing spots after adding the new ones. Total number of climbing spots = Current number of climbing spots + Number of climbing spots to be added Total number of climbing spots = 37 + 8 Total number of climbing spots = 45 Therefore, after the manager adds the new climbing spots, there will be 45 climbing spots on the jungle gym. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: Sam found 58 pens on his desk. He remembered that he had brought an extra 26 pens from his friend's house. How many pens were originally on Sam's desk?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pens that were originally on Sam's desk before he brought the extra pens from his friend's house. Given information: - Sam found 58 pens on his desk. - He brought an extra 26 pens from his friend's house. We can represent the number of pens originally on Sam's desk as x. Since Sam found a total of 58 pens on his desk, and he brought an extra 26 pens, we can write the equation: x + 26 = 58 Rearranging the equation to solve for x: x = 58 - 26 x = 32 Therefore, there were originally 32 pens on Sam's desk before he brought the extra pens from his friend's house. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: A sports store has 55 pairs of ice skates. 21 of these pairs are for women. How many pairs of ice skates are there for men?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of ice skates that are not for women, which will be the number of pairs for men. Given information: - The sports store has a total of 55 pairs of ice skates. - 21 pairs of ice skates are for women. Step 1: Find the number of pairs of ice skates that are not for women. Total pairs of ice skates - Pairs of ice skates for women = Pairs of ice skates for men 55 - 21 = 34 Therefore, there are 34 pairs of ice skates for men in the sports store. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: In a wildlife reserve, there were initially 6 giraffes. Over the years, the population of giraffes increased and the total count is now 99. How many new giraffes have been added to the group?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of giraffes and the current total count of giraffes. Given information: - Initially, there were 6 giraffes in the wildlife reserve. - The current total count of giraffes is 99. Step 1: Find the number of new giraffes added to the group. Number of new giraffes added = Current total count of giraffes - Initial number of giraffes Number of new giraffes added = 99 - 6 Number of new giraffes added = 93 Therefore, 93 new giraffes have been added to the group over the years. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: Emily starts with 96 toys. She gives away a certain amount of these toys and is left with 51 toys. How many toys did Emily give away?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of toys Emily had and the number of toys she was left with after giving some away. Given information: - Emily starts with 96 toys. - Emily is left with 51 toys after giving away some toys. Step 1: Find the number of toys Emily gave away. Number of toys Emily gave away = Initial number of toys - Number of toys left Number of toys Emily gave away = 96 - 51 Number of toys Emily gave away = 45 Therefore, Emily gave away 45 toys. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: An astronaut found a new planet that has 69 moons. After further exploration, the astronaut discovered more moons, bringing the total up to 91 moons. How many more moons did the astronaut discover?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of moons and the final number of moons. Given information: - Initially, the planet had 69 moons. - After further exploration, the total number of moons became 91. Step 1: Find the number of additional moons discovered. Number of additional moons = Final number of moons - Initial number of moons Number of additional moons = 91 - 69 Number of additional moons = 22 Therefore, the astronaut discovered 22 more moons. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: In the morning, a wind turbine produced 56 units of energy. By evening, the total energy production reached 92 units. How much energy did the wind turbine produce from the morning to the evening?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total energy production by evening and the energy production in the morning. Given information: - In the morning, the wind turbine produced 56 units of energy. - By evening, the total energy production reached 92 units. Step 1: Find the energy produced from the morning to the evening. Energy produced from morning to evening = Total energy production by evening - Energy production in the morning Energy produced from morning to evening = 92 units - 56 units Energy produced from morning to evening = 36 units Therefore, the wind turbine produced 36 units of energy from the morning to the evening. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Molly starts with 81 milliliters of toothpaste in a new tube. After brushing her teeth for a few days, she realizes she has used 78 milliliters. How many milliliters of toothpaste are left in the tube?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial amount of toothpaste in the tube and the amount used. Given information: - Molly starts with 81 milliliters of toothpaste in a new tube. - Molly has used 78 milliliters of toothpaste. Step 1: Find the amount of toothpaste left in the tube. Amount of toothpaste left = Initial amount of toothpaste - Amount of toothpaste used Amount of toothpaste left = 81 milliliters - 78 milliliters Amount of toothpaste left = 3 milliliters Therefore, there are 3 milliliters of toothpaste left in the tube. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: David has 31 guitar picks. After some time, he notices he only has 22 left. How many guitar picks has David lost?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of guitar picks David had and the number of guitar picks he has left. Given information: - David initially had 31 guitar picks. - After some time, he has 22 guitar picks left. Step 1: Find the number of guitar picks David lost. Number of guitar picks lost = Initial number of guitar picks - Number of guitar picks left Number of guitar picks lost = 31 - 22 Number of guitar picks lost = 9 Therefore, David has lost 9 guitar picks. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A universe has 76 stars. If we subtract 5 of these stars, how many stars are left in the universe?
Claude-3 Sonnet:
To solve this problem, we need to subtract the number of stars removed from the total number of stars in the universe. Given information: - The universe has 76 stars. - 5 stars are subtracted from the universe. Step 1: Subtract the number of stars removed from the total number of stars. Number of stars left = Total number of stars - Number of stars removed Number of stars left = 76 - 5 Number of stars left = 71 Therefore, after subtracting 5 stars, there are 71 stars left in the universe. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: You have a total of 99 toothbrushes in your dental clinic. After distributing some to patients, you realize you now have 20 toothbrushes left. How many toothbrushes did you distribute to patients?
Claude-3 Sonnet:
To solve this problem, we need to find the number of toothbrushes distributed to patients. Given information: - Initially, there were 99 toothbrushes in the dental clinic. - After distributing some toothbrushes, there are 20 toothbrushes left. Let's represent the number of toothbrushes distributed as x. Initial number of toothbrushes = Number of toothbrushes distributed + Number of toothbrushes left 99 = x + 20 Rearranging the equation to find x: x = 99 - 20 x = 79 Therefore, 79 toothbrushes were distributed to patients. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: A starfish has 12 limbs in total. If we exclude 4 limbs that it uses to move around, how many limbs does the starfish use for other purposes?
Claude-3 Sonnet:
To solve this problem, we need to find the number of limbs the starfish has left after excluding the 4 limbs it uses for moving around. Given information: - A starfish has a total of 12 limbs. - The starfish uses 4 limbs for moving around. Step 1: Find the number of limbs the starfish uses for other purposes. Total number of limbs - Number of limbs used for moving around = Number of limbs used for other purposes 12 limbs - 4 limbs = 8 limbs Therefore, the starfish uses 8 limbs for other purposes. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A beehive contains 75 bees. This morning, 15 bees left the hive in search of food. How many bees remained in the hive?
Claude-3 Sonnet:
To solve this problem, we need to subtract the number of bees that left the hive from the initial number of bees in the hive. Given information: - The beehive initially contained 75 bees. - 15 bees left the hive in search of food. Step 1: Subtract the number of bees that left the hive from the initial number of bees. Number of bees remaining in the hive = Initial number of bees - Number of bees that left Number of bees remaining in the hive = 75 - 15 Number of bees remaining in the hive = 60 Therefore, 60 bees remained in the hive after 15 bees left in search of food. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: In a magnificent garden, there were initially 'p' flowers. Unfortunately, 21 of them wilted. Now, there are 11 flowers left in the garden. How many flowers were there in the garden originally?
Claude-3 Sonnet:
To solve this problem, we need to find the value of 'p', which represents the initial number of flowers in the garden. Given information: - Initially, there were 'p' flowers in the garden. - 21 flowers wilted. - Now, there are 11 flowers left in the garden. We can represent the current number of flowers as the initial number of flowers minus the number of flowers that wilted. Let's denote the current number of flowers as 'c'. c = p - 21 (since 21 flowers wilted) We know that the current number of flowers is 11. c = 11 Substituting the value of 'c' in the equation above, we get: 11 = p - 21 p = 11 + 21 p = 32 Therefore, there were initially 32 flowers in the garden. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Jenny has 85 building blocks. After playing, she found out she has 14 blocks left on her play mat. How many building blocks did Jenny use?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of building blocks Jenny had initially and the number of blocks left on her play mat after playing. Given information: - Jenny had 85 building blocks initially. - After playing, Jenny had 14 blocks left on her play mat. Step 1: Find the number of building blocks Jenny used. Number of building blocks used = Total building blocks - Building blocks left on the play mat Number of building blocks used = 85 - 14 Step 2: Calculate the number of building blocks used. Number of building blocks used = 85 - 14 Number of building blocks used = 71 Therefore, Jenny used 71 building blocks while playing. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: A school bus has numerous seats. After 17 students have alighted from the bus, there are 56 students still seated. How many students were initially on the school bus?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of students initially on the school bus. Given information: - After 17 students have alighted (got off) from the bus, there are 56 students still seated. Let's represent the total number of students initially on the bus as x. Since 17 students alighted, the remaining number of students on the bus is x - 17. We know that the remaining number of students is 56. Therefore, we can set up the equation: x - 17 = 56 Solving for x: x - 17 + 17 = 56 + 17 x = 73 Therefore, the total number of students initially on the school bus was 73. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a big storage, there are f bars of soap. After donating 9 bars to a local charity, there are now 81 bars of soap left. How many bars of soap were there initially in the big storage?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of bars of soap in the big storage before donating 9 bars. Given information: - After donating 9 bars, there are 81 bars of soap left. Let's represent the initial number of bars of soap as f. Since 9 bars were donated, the remaining number of bars is the initial number minus 9. Remaining number of bars = Initial number of bars - Bars donated 81 = f - 9 Rearranging the equation, we get: f = 81 + 9 f = 90 Therefore, there were initially 90 bars of soap in the big storage. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: A farmer harvested 57 oranges from one of his trees. When he counted all the oranges including the one harvested from the other tree, he found that he had a total of 72 oranges. How many oranges did he get from his other tree?
Claude-3 Sonnet:
To solve this problem, we need to find the number of oranges the farmer got from the other tree. Given information: - The farmer harvested 57 oranges from one tree. - The total number of oranges from both trees is 72. Let's represent the number of oranges from the other tree as x. We know that the total number of oranges is the sum of the oranges from the first tree and the oranges from the other tree. Total oranges = Oranges from the first tree + Oranges from the other tree 72 = 57 + x Subtracting 57 from both sides, we get: 72 - 57 = x 15 = x Therefore, the farmer got 15 oranges from the other tree. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: A pirate ship had originally 86 cannons, but due to a raging battle, several were destroyed. After the battle the ship had only 31 cannons left. How many cannons were destroyed in the battle?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original number of cannons and the number of cannons left after the battle. Given information: - The pirate ship originally had 86 cannons. - After the battle, the ship had 31 cannons left. Step 1: Find the number of cannons destroyed in the battle. Number of cannons destroyed = Original number of cannons - Number of cannons left after the battle Number of cannons destroyed = 86 - 31 Number of cannons destroyed = 55 Therefore, 55 cannons were destroyed in the battle. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the ocean, there are 73 sharks initially. Later, a few more sharks join them increasing the total number to 94. How many sharks joined later?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of sharks and the final number of sharks. Given information: - Initially, there were 73 sharks in the ocean. - Later, some more sharks joined them, and the total number of sharks became 94. Step 1: Find the number of sharks that joined later. Number of sharks that joined later = Final number of sharks - Initial number of sharks Number of sharks that joined later = 94 - 73 Number of sharks that joined later = 21 Therefore, 21 sharks joined the initial group of sharks later. ### Answer: 21
Expected answer: 21
Correct? Yes
Problem: A farmer has 41 bananas. After selling some, he is left with 15 bananas. How many bananas did the farmer sell?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of bananas and the number of bananas left after selling. Given information: - The farmer initially had 41 bananas. - After selling some bananas, the farmer is left with 15 bananas. Step 1: Find the number of bananas sold. Number of bananas sold = Initial number of bananas - Number of bananas left Number of bananas sold = 41 - 15 Number of bananas sold = 26 Therefore, the farmer sold 26 bananas. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: In the sky, there are 56 stars visible. However, due to city lights, you can only see 30 of them. How many stars are obscured by the city lights?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of stars visible in the sky and the number of stars that can be seen despite the city lights. Given information: - There are 56 stars visible in the sky. - Due to city lights, only 30 stars can be seen. Step 1: Find the number of stars obscured by the city lights. Number of stars obscured = Total stars visible - Stars visible despite city lights Number of stars obscured = 56 - 30 Number of stars obscured = 26 Therefore, 26 stars are obscured by the city lights. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Tom has 65 pairs of sunglasses. Over the years, he lost some and now he has 55 pairs of sunglasses. How many pairs of sunglasses did Tom lose?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of pairs of sunglasses Tom had and the number of pairs he has now. Given information: - Tom initially had 65 pairs of sunglasses. - Tom now has 55 pairs of sunglasses. Step 1: Find the number of pairs of sunglasses Tom lost. Number of pairs of sunglasses lost = Initial number of pairs - Current number of pairs Number of pairs of sunglasses lost = 65 - 55 Number of pairs of sunglasses lost = 10 Therefore, Tom lost 10 pairs of sunglasses over the years. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In a book, there are 42 words on the page. After reading some of the words, there are only 2 words left that you haven't read yet. How many words have you read?
Claude-3 Sonnet:
To solve this problem, we need to find the number of words that have been read. Given information: - There are 42 words on the page. - After reading some words, there are only 2 words left that haven't been read. Step 1: Find the number of words that have been read. Total words on the page - Words left unread = Words read 42 words - 2 words = 40 words Therefore, you have read 40 words. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: There were initially 37 butterflies in the park. The number dropped such that there were 20 butterflies left. How many butterflies had left the park?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of butterflies and the number of butterflies left in the park. Given information: - Initially, there were 37 butterflies in the park. - After some butterflies left, there were 20 butterflies left in the park. Step 1: Find the number of butterflies that left the park. Number of butterflies that left the park = Initial number of butterflies - Number of butterflies left Number of butterflies that left the park = 37 - 20 Number of butterflies that left the park = 17 Therefore, 17 butterflies had left the park. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A hat shop initially has a total of (z) hats. After selling 27 hats, there were 25 hats left in the store. How many hats did the store initially have?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of hats (z) in the store before selling 27 hats. Given information: - After selling 27 hats, there were 25 hats left in the store. Let's represent the initial number of hats as z. Since the store sold 27 hats, the remaining number of hats is the initial number minus the number of hats sold. Remaining number of hats = Initial number of hats - Number of hats sold 25 = z - 27 Rearranging the equation to find z: z = 25 + 27 z = 52 Therefore, the store initially had 52 hats before selling 27 hats. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A grandma's blanket is 96 inches long. 39 inches of this length is covered in a decorative border. What is the length of the main part of the blanket (not including the border)?
Claude-3 Sonnet:
To find the length of the main part of the blanket, we need to subtract the length of the decorative border from the total length of the blanket. Given information: - The total length of the blanket is 96 inches. - The length of the decorative border is 39 inches. Step 1: Subtract the length of the decorative border from the total length of the blanket. Length of the main part of the blanket = Total length of the blanket - Length of the decorative border Length of the main part of the blanket = 96 inches - 39 inches Length of the main part of the blanket = 57 inches Therefore, the length of the main part of the blanket (not including the border) is 57 inches. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Billy has 56 pillows in his pillow fort. If he removes 46 of these pillows, how many pillows will Billy have left in his fort?
Claude-3 Sonnet:
To solve this problem, we need to subtract the number of pillows Billy removes from the total number of pillows he initially had. Given information: - Billy has 56 pillows in his pillow fort. - Billy removes 46 pillows from his pillow fort. Step 1: Subtract the number of pillows removed from the total number of pillows. Number of pillows left = Total number of pillows - Number of pillows removed Number of pillows left = 56 - 46 Number of pillows left = 10 Therefore, after removing 46 pillows, Billy will have 10 pillows left in his pillow fort. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Ronnie has 77 pairs of socks in total. Out of these, 52 pairs are white. How many pairs of non-white socks does Ronnie have?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of non-white socks Ronnie has. Given information: - Ronnie has a total of 77 pairs of socks. - Out of these, 52 pairs are white. Step 1: Find the number of pairs of non-white socks. Number of pairs of non-white socks = Total pairs of socks - Number of pairs of white socks Number of pairs of non-white socks = 77 - 52 Number of pairs of non-white socks = 25 Therefore, Ronnie has 25 pairs of non-white socks. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Jim starts with 68 pencils and uses some of them throughout the school year. If at the end of the school year, he has 13 pencils left, how many pencils did Jim use throughout the year?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of pencils Jim had and the number of pencils he had left at the end of the school year. Given information: - Jim started with 68 pencils. - At the end of the school year, Jim had 13 pencils left. Step 1: Find the number of pencils Jim used throughout the year. Number of pencils used = Initial number of pencils - Number of pencils left Number of pencils used = 68 - 13 Number of pencils used = 55 Therefore, Jim used 55 pencils throughout the school year. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: A farmer has 63 gallons of milk. He sells some of it and after the sale, he is left with 27 gallons. How many gallons of milk did the farmer sell?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial amount of milk and the amount left after the sale. Given information: - The farmer initially had 63 gallons of milk. - After the sale, the farmer was left with 27 gallons of milk. Step 1: Find the amount of milk sold. Amount of milk sold = Initial amount of milk - Amount of milk left after the sale Amount of milk sold = 63 gallons - 27 gallons Amount of milk sold = 36 gallons Therefore, the farmer sold 36 gallons of milk. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: The number of sunglasses in a store is 87. Among these, 40 sunglasses are for women. How many sunglasses in the store are for men?
Claude-3 Sonnet:
To solve this problem, we need to find the number of sunglasses that are not for women, which will be the number of sunglasses for men. Given information: - The total number of sunglasses in the store is 87. - 40 sunglasses are for women. Step 1: Find the number of sunglasses that are not for women. Total sunglasses - Sunglasses for women = Sunglasses for men 87 - 40 = 47 Therefore, there are 47 sunglasses in the store that are for men. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A tube of toothpaste usually lasts you for 9 weeks. Now, you've noticed that your current tube has lasted for 61 weeks already. For how many weeks has your tube of toothpaste surpassed its usual duration?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the actual duration of the current tube of toothpaste and its usual duration. Given information: - A tube of toothpaste usually lasts for 9 weeks. - The current tube of toothpaste has lasted for 61 weeks. Step 1: Find the difference between the actual duration and the usual duration. Actual duration - Usual duration = Number of weeks surpassed the usual duration 61 weeks - 9 weeks = 52 weeks Therefore, the current tube of toothpaste has surpassed its usual duration by 52 weeks. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: In a box, there are 79 triangles. Overall, if there are 93 shapes in the box, how many shapes are not triangles?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of shapes and the number of triangles in the box. Given information: - There are 79 triangles in the box. - There are 93 shapes in total in the box. Step 1: Find the number of shapes that are not triangles. Number of shapes that are not triangles = Total number of shapes - Number of triangles Number of shapes that are not triangles = 93 - 79 Number of shapes that are not triangles = 14 Therefore, there are 14 shapes in the box that are not triangles. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: A roller skating rink had 44 pairs of roller skates. After purchasing several new pairs, it now has 71 pairs. How many new pairs of roller skates did the rink buy?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final number of pairs of roller skates and the initial number of pairs. Given information: - The roller skating rink initially had 44 pairs of roller skates. - After purchasing new pairs, the rink now has 71 pairs of roller skates. Step 1: Find the number of new pairs of roller skates purchased. Number of new pairs purchased = Final number of pairs - Initial number of pairs Number of new pairs purchased = 71 - 44 Number of new pairs purchased = 27 Therefore, the roller skating rink bought 27 new pairs of roller skates. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: On the shore, a beachcomber found 58 starfish. Later in the day, he found a few more starfish, bringing his total count to 69. How many additional starfish did the beachcomber find later in the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total count of starfish and the initial count of starfish. Given information: - The beachcomber initially found 58 starfish. - The total count of starfish after finding more later in the day is 69. Step 1: Find the number of additional starfish found later in the day. Additional starfish found = Total count of starfish - Initial count of starfish Additional starfish found = 69 - 58 Additional starfish found = 11 Therefore, the beachcomber found 11 additional starfish later in the day. ### Answer: 11
Expected answer: 11
Correct? Yes