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 Opus:
To solve this problem, let's organize the given information: * Harvey has a total of 70 roller skates in his shop. * 42 of those roller skates are for children. To find out how many roller skates Harvey has for adults, we need to subtract the number of children's roller skates from the total number of roller skates. Adult roller skates = Total roller skates - Children's roller skates Adult roller skates = 70 - 42 = <<70-42=28>>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 Opus:
To solve this problem, let's organize the given information: * The town initially had 98 dogs. * After some dogs relocated, the town was left with 73 dogs. To find out how many dogs relocated, we need to subtract the number of dogs remaining from the initial number of dogs. Relocated dogs = Initial number of dogs - Remaining dogs Relocated dogs = 98 - 73 = 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 Opus:
Let's organize the information we have: * The pirate ship with crew and cargo weighs 78 tons. * The cargo weighs 74 tons. * We need to find the weight of the ship with just the crew. To find the weight of the ship with just the crew, we need to subtract the weight of the cargo from the total weight of the ship with crew and cargo. Weight of ship with crew = Total weight - Weight of cargo Weight of ship with crew = 78 tons - 74 tons Weight of ship with crew = <<78-74=4>>4 tons Therefore, the weight of Captain Bruce's pirate ship with just the crew is 4 tons. ### Answer: 4 tons
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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, Sam had 22 strings. * After adding some more strings, he now has a total of 41 strings. 2. To find the number of extra strings Sam added, we need to subtract the initial number of strings from the total number of strings: * Extra strings = Total strings - Initial strings * Extra strings = 41 - 22 * Extra strings = <<41-22=19>>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 Opus:
Let's organize the information we have: * The UFO left a total of 82 crop circles in the field. * 34 of these crop circles have already been found. To find out how many crop circles are yet to be discovered, we need to subtract the number of crop circles found from the total number of crop circles. Crop circles yet to discover = Total crop circles - Crop circles found Crop circles yet to discover = 82 - 34 = <<82-34=48>>48 Therefore, there are 48 crop circles that are yet to be discovered in the field. ### 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 Opus:
Let's organize the information we have: * 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. To find the additional hours 'b' that John spends to finish the puzzle, we can set up an equation: * Initial time + Additional time = Total time * 7 + b = 13 Now, let's solve the equation for 'b': * 7 + b = 13 * b = 13 - 7 * b = 6 Therefore, John spends an additional 6 hours to finish the puzzle. ### Answer: 6 hours
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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * There are 31 computers in the computer lab. * One of the computers is an added practice unit and not counted as a regular computer for students to use. 2. To find the number of computers available for students to use, we need to subtract the practice unit from the total number of computers: * Available computers = Total computers - Practice unit * Available computers = 31 - 1 * Available computers = 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 Opus:
To find out how many miles John rode his scooter today, we need to calculate the difference between the final odometer reading and the initial odometer reading. Given: - Initial odometer reading: 28 miles - Final odometer reading: 70 miles To calculate the miles John rode his scooter, we subtract the initial reading from the final reading: Miles ridden = Final reading - Initial reading Miles ridden = 70 - 28 = 42 Therefore, John rode his scooter 42 miles today. ### Answer: 42 miles.
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 Opus:
Let's solve this step by step: 1. The worker initially counted 58 bottles. 2. However, he realized that he had miscounted and there was actually one bottle less than his original count. 3. To find the actual number of bottles, we need to subtract 1 from his original count: * Actual number of bottles = Original count - 1 * Actual number of bottles = 58 - 1 * Actual number of bottles = <<58-1=57>>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 Opus:
To find the number of degrees the compass rotated, we need to calculate the difference between the initial and final bearings. Given: - Initial bearing: 48 degrees - Final bearing: 74 degrees To calculate the rotation, we subtract the initial bearing from the final bearing: Rotation = Final bearing - Initial bearing Rotation = 74ยฐ - 48ยฐ = 26ยฐ Therefore, the compass rotated by 26 degrees. ### Answer: 26 degrees.
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 Opus:
To solve this problem, let's organize the given information: * The bear has eaten 89 pounds of food. * The bear's goal is to eat 92 pounds of food. * We need to find the additional amount of food 't' the bear needs to eat to reach its goal. We can find the additional amount of food 't' by subtracting the amount of food the bear has already eaten from its goal: t = Goal - Food already eaten t = 92 - 89 t = 3 Therefore, the bear needs to eat 3 more pounds of food to reach its goal of 92 pounds. ### Answer: 3 pounds
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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The princess initially had 14 jewels. * After her loyal subject brought her some more jewels, she now has a total of 49 jewels. 2. To find the number of jewels the subject found, we need to subtract the initial number of jewels from the total number of jewels: * Number of jewels the subject found = Total jewels - Initial jewels * Number of jewels the subject found = 49 - 14 * Number of jewels the subject found = 35 Therefore, the loyal 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 Opus:
To find out how many patients Doctor Lisa no longer treats, we need to subtract the number of patients she has now from the number of patients she initially had. Given: - Doctor Lisa initially had 93 patients. - After some time, she only has 61 patients left. Patients no longer treated = Initial number of patients - Current number of patients Patients no longer treated = 93 - 61 = <<93-61=32>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * Emily initially had 98 stuffed animals. * After giving some to her friend, she now has 95 stuffed animals. 2. To find how many stuffed animals Emily gave to her friend, we need to subtract the number of stuffed animals she has now from the number she had initially. * Number of stuffed animals given = Initial number - Current number * Number of stuffed animals given = 98 - 95 * Number of stuffed animals given = 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 Opus:
Let's organize the information we have: * Initially, there were 83 trees in the forest. * After the storm, the number of trees reduced to 12. To find out how many trees were uprooted by the storm, we need to subtract the number of trees remaining after the storm from the initial number of trees. Trees uprooted = Initial number of trees - Trees remaining after the storm Trees uprooted = 83 - 12 = <<83-12=71>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * The weather forecast predicted 52 mm of rainfall. * The actual rainfall was 15 mm less than predicted. 2. To find the actual rainfall, we need to subtract the difference from the predicted rainfall: * Actual rainfall = Predicted rainfall - Difference * Actual rainfall = 52 mm - 15 mm * Actual rainfall = 37 mm Therefore, the actual amount of rain that fell was 37 mm. ### Answer: 37 mm
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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Anna's store has a total of 63 skirts now. * Before adding more skirts, she already had 62 skirts in the store. 2. To find the number of skirts Anna added, we need to subtract the number of skirts she had before from the total number of skirts she has now. 3. Number of skirts added = Total skirts now - Skirts before * Number of skirts added = 63 - 62 * Number of skirts added = <<63-62=1>>1 So, 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Jack lost 64 building blocks. * After losing those blocks, he is left with 24 building blocks. 2. To find the initial number of building blocks, we need to add the number of blocks he lost to the number of blocks he has now: * Initial number of blocks = Blocks lost + Blocks remaining * Initial number of blocks = 64 + 24 * Initial number of blocks = 88 Therefore, Jack initially had 88 building blocks. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * The store originally had 25 jackets in stock. * After selling some jackets, they have 11 left. 2. To find the number of jackets sold, we need to subtract the remaining jackets from the original number of jackets: * Number of jackets sold = Original number of jackets - Remaining jackets * Number of jackets sold = 25 - 11 * Number of jackets sold = 14 Therefore, the store sold 14 jackets. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, John had 36 bananas. * After selling some bananas, John has 34 bananas left. 2. To find the number of bananas John sold, we need to subtract the number of bananas he has left from the initial number of bananas: * 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Julia initially had 66 sunglasses. * After selling some sunglasses, she now has 22 left. 2. To find the number of sunglasses Julia sold, we need to subtract the number of sunglasses she has left from the number of sunglasses she initially had. 3. 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. ### 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The album has a total of 40 songs. * If you subtract the number of romantic songs from the total, you have 20 songs left. 2. Let's define a variable for the unknown: * Let x be the number of romantic songs in the album. 3. Set up an equation based on the given information: * Total songs - Romantic songs = Songs left * 40 - x = 20 4. Solve the equation for x: * 40 - x = 20 * 40 - 20 = x * 20 = x Therefore, there are 20 romantic songs in the album. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * The shop starts with 'a' sleeping bags. * They sold 36 sleeping bags. * After selling, they are left with 35 sleeping bags. 2. Set up an equation: * Original number of sleeping bags = 'a' * Number of sleeping bags sold = 36 * Number of sleeping bags left = 35 * Equation: a - 36 = 35 3. Solve the equation: * a - 36 = 35 * a - 36 + 36 = 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 Opus:
Let's organize the information we have: * Emily originally had some money in her piggy bank. * She found some money on the street and added it to her piggy bank. * After adding the money she found, Emily has $19 in her piggy bank. * The money she found on the street is $11. To find out how much money Emily originally had in her piggy bank, we need to subtract the money she found from the total amount she has now. Original money = Total money now - Money found Original money = $19 - $11 Original money = $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 Opus:
Let's solve this step by step: 1. Understand the given information: * The total number of edges in the geometric pattern is 80. * A pentagon, which has 5 edges, was added to the pattern. 2. To find the number of edges before adding the pentagon, we need to subtract the number of edges in the pentagon from the total number of edges: * Edges before adding the pentagon = Total edges - Edges in the pentagon * Edges before adding the pentagon = 80 - 5 * Edges before adding the pentagon = 75 Therefore, there were 75 edges in the geometric pattern before the pentagon was added. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * The gardener originally planted a certain number of flowers. * After removing 30 flowers, he is left with 58 flowers. 2. Let's define a variable for the unknown quantity: * Let x be the number of flowers the gardener originally planted. 3. Set up an equation based on the given information: * Original number of flowers - Removed flowers = Remaining flowers * x - 30 = 58 4. Solve the equation for x: * x - 30 = 58 * x - 30 + 30 = 58 + 30 * x = 88 Therefore, the gardener originally planted 88 flowers. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Carrie has a total of 88 candles in her collection. * She bought 73 candles at a yard sale. 2. To find out how many candles Carrie had before the yard sale, we need to subtract the number of candles she bought at the yard sale from the total number of candles she has now. 3. Calculation: * Candles before yard sale = Total candles - Candles bought at yard sale * Candles before yard sale = 88 - 73 * Candles before yard sale = 15 Therefore, Carrie had 15 candles before she bought the additional candles at 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 Opus:
Let's organize the information we have: * The doctor currently has 47 medical books. * She wants to have 33 more books in her collection. To find out how many more books the doctor needs, we can: 1. Find the desired total number of books in the collection. 2. Subtract the current number of books from the desired total. Step 1: Find the desired total number of books * Desired total = Current number of books + Additional books wanted * Desired total = 47 + 33 = 80 Step 2: Subtract the current number of books from the desired total * Additional books needed = Desired total - Current number of books * Additional books needed = 80 - 47 = 33 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 Opus:
Let's solve this step by step: 1. Understand the given information: * John initially travels 42 miles on his scooter. * He continues to travel until he has covered a total of 89 miles. 2. To find the additional miles John travels, we need to subtract the initial distance from the total distance: * Additional miles = Total miles - Initial miles * Additional miles = 89 miles - 42 miles * Additional miles = 47 miles Therefore, John travels an additional 47 miles after his initial 42-mile journey. ### Answer: 47 miles
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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The store has a total of 41 beach balls. * Some of the beach balls are green. * 15 of the beach balls are blue. 2. To find the number of green beach balls, we need to subtract the number of blue beach balls from the total number of beach balls: * Number of green beach balls = Total beach balls - Blue beach balls * Number of green beach balls = 41 - 15 * Number of green beach balls = 26 Therefore, the store has 26 green beach balls. ### 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Initially, there were 38 tents set up. * After setting up more tents, there are now 99 tents in total. 2. To find the number of tents put up after the initial setup, we need to subtract the initial number of tents from the total number of tents: * Additional tents = Total tents - Initial tents * Additional tents = 99 - 38 * Additional tents = 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 Opus:
To solve this problem, let's organize the given information: * Craig started with 83 hit points * After the enemy attack, Craig has 32 hit points To find out how many hit points Craig lost, we need to subtract the remaining hit points from the initial hit points. Initial hit points - Remaining hit points = Lost hit points 83 - 32 = 51 Therefore, Craig lost 51 hit points in the enemy 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 Opus:
Let's solve this step by step: 1. Initially, there were 53 pencils in the box. 2. After the teacher added some pencils, the total count became 56 pencils. 3. To find the number of pencils added by the teacher, we need to subtract the initial number of pencils from the final number of pencils. Number of pencils added = Final count - Initial count Number of pencils added = 56 - 53 = <<56-53=3>>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 Opus:
Let's solve this problem step by step: 1. Initially, the circus had 99 performers. 2. After some performers left, there are 25 performers remaining. 3. To find the number of performers who left, we need to subtract the remaining performers from the initial number of performers. Number of performers who left = Initial number of performers - Remaining performers Number of performers who left = 99 - 25 = 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The mansion has a total of 44 doors. * 7 doors are yet to be installed. 2. To find the number of doors already installed, we need to subtract the number of doors yet to be installed from the total number of doors. 3. Calculation: * Number of doors already installed = Total doors - Doors yet to be installed * Number of 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 Opus:
Let's solve this step by step: 1. Understand the given information: * The original angle of the sun above the horizon is 'j' degrees. * If we decrease this angle by 24 degrees, it becomes 52 degrees. 2. Set up an equation: * Decreased angle = Original angle - 24 degrees * 52 = j - 24 3. Solve the equation for 'j': * Add 24 to both sides of the equation: 52 + 24 = j - 24 + 24 <<52+24=76>>76 = j Therefore, the original angle of the sun above the horizon was 76 degrees. ### Answer: 76 degrees.
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 Opus:
Let's solve this step by step: 1. Understand the given information: * The hat maker sold 46 hats. * After selling the hats, he is left with 32 hats. 2. Let's define a variable for the original number of hats: * Let the original number of hats be x. 3. Set up an equation based on the given information: * Original number of hats - Sold hats = Remaining hats * x - 46 = 32 4. Solve the equation to find the original number of hats: * x - 46 = 32 * x - 46 + 46 = 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 Opus:
Let's solve this step by step: 1. Let's define our variables: - Let 'g' be the initial amount of water in the tank. 2. We know that 3 gallons were removed from the tank, and the remaining amount was 40 gallons. We can represent this as an equation: - Initial amount - 3 gallons = 40 gallons - In terms of our variable: g - 3 = 40 3. To find the initial amount, we need to solve the equation for 'g': - Add 3 to both sides of the equation: g - 3 + 3 = 40 + 3 g = 43 Therefore, the initial amount of water in the tank was 43 gallons. ### Answer: 43 gallons
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 Opus:
Let's solve this step by step: 1. Understand the given information: * Paul has a total of 16 keys. * 2 of these keys are for his office. 2. To find the number of other keys Paul has, we need to subtract the number of office keys from the total number of keys: * Other keys = Total keys - Office keys * Other keys = 16 - 2 * Other keys = 14 Therefore, Paul has 14 other keys. ### 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The baby initially had 79 toys. * After losing some toys, the baby now has 63 toys. 2. To find the number of toys the baby lost, we need to subtract the current number of toys from the initial number of toys: * Number of toys lost = Initial number of toys - Current 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Some apples fell from the trees on the farm. * 21 apples fell from the trees. * After the apples fell, there are 49 apples left on the trees. 2. To find the original number of apples, we need to add the number of apples that fell to the number of apples left on the trees: * Original number of apples = Apples that fell + Apples left on the trees * Original number of apples = 21 + 49 * Original number of apples = <<21+49=70>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * Jason has some building blocks in his cabinet. * If he takes out 47 blocks, he will have 41 blocks left. 2. Let's represent the initial number of blocks as a variable: * Let the initial number of blocks be x. 3. Set up an equation based on the given information: * Initial blocks - Blocks taken out = Blocks left * x - 47 = 41 4. Solve the equation to find the initial number of blocks: * x - 47 = 41 * x = 41 + 47 * x = 88 Therefore, Jason had 88 building blocks in his cabinet initially. ### 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 Opus:
To solve this problem, let's organize the given information: * The pirate found a treasure chest with 58 gold coins. * He gave 44 of those coins to his parrot. To find out how many gold coins the pirate has left, we need to subtract the number of coins he gave to his parrot from the total number of coins he found. 58 (total coins) - 44 (coins given to the parrot) = 58 - 44 = 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Amy has a total of 75 skirts in her wardrobe. * 18 of those skirts are red. 2. 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: * 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 in Amy's wardrobe 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, John's phone battery was at 65%. * After playing a game, the battery level decreased to 20%. 2. To find the battery percentage consumed by the game, we need to subtract the final battery percentage from the initial battery percentage: * Battery percentage consumed = Initial percentage - Final percentage * Battery percentage consumed = 65% - 20% * Battery percentage consumed = 45% Therefore, the game consumed 45% of John's mobile phone 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 Opus:
Let's solve this step by step: 1. Understand the given information: * There are a certain number of beds in the dormitory. * 8 beds were removed for repair. * After removing the 8 beds, there are 72 beds left. 2. Let's represent the original number of beds as a variable, say 'x'. 3. After removing 8 beds, the remaining beds are 72. We can represent this as an equation: * x - 8 = 72 4. To find the original number of beds, we need to solve the equation for 'x'. * x - 8 = 72 * x = 72 + 8 * x = 80 Therefore, there were originally 80 beds in the dormitory. ### 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Initially, John had 30 shirts in his wardrobe. * After shopping, John has a total of 31 shirts. 2. To find out how many shirts John bought, we need to subtract the initial number of shirts from the total number of shirts after shopping: * Number of shirts bought = Total shirts after shopping - Initial number of shirts * Number of shirts bought = 31 - 30 * Number of shirts 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 Opus:
To solve this problem, let's organize the given information and find the total distance traveled by the snail. Given: - The snail traveled 57 cm in a day. - The snail ended its journey at a point 24 cm from the starting point. To find the total distance traveled, we need to add the distance traveled in a day to the distance between the starting and ending points. Total distance = Distance traveled in a day + Distance between starting and ending points Total distance = 57 cm + 24 cm Total distance = 81 cm Therefore, the snail traveled a total of 81 cm. ### Answer: 81 cm.
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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * John has 100 dog treats in total. * He gives 55 of the treats to his dog, Fido. 2. To find out how many dog treats John has left, we need to subtract the number of treats he gave to Fido from the total number of treats he had: * Treats left = Total treats - Treats given to Fido * Treats left = 100 - 55 * Treats left = 45 Therefore, John has 45 dog treats left after giving 55 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 Opus:
Let's solve this step by step: 1. Understand the given information: * There are a total of 96 tigers in the nature reserve. * 25 tigers live in the northern part of the reserve. 2. To find the number of tigers living in the rest of the reserve, we need to subtract the number of tigers in the northern part from the total number of tigers. 3. Number of tigers in the rest of the reserve = Total number of tigers - Number of tigers in the northern part * Number of tigers in the rest of the reserve = 96 - 25 * Number of tigers in the rest of the reserve = 71 Therefore, 71 tigers live in the rest of the 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, there were 32 children practicing for the event. * After some more children joined, the total number of ballerinas became 48. 2. To find the number of new children who joined, we need to subtract the initial number of children from the total number of ballerinas: * Number of new children = Total ballerinas - 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, there were 97 dinosaurs in the exhibit. * The curator added 'k' more dinosaurs. * After adding the new dinosaurs, the total number of dinosaurs became 98. 2. Set up an equation: * Original number of dinosaurs + Number of added dinosaurs = Total number of dinosaurs * 97 + k = 98 3. Solve the equation to find the value of 'k': * 97 + k = 98 * k = 98 - 97 * k = 1 Therefore, the curator added 1 new dinosaur to the exhibit. ### Answer: The curator added 1 new dinosaur to the exhibit.
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 Opus:
Let's solve this step by step: 1. Understand the given information: * Lily has an unknown number of dolls. * If she donates 5 dolls, she will have 52 dolls left. 2. Let's represent the unknown number of dolls as a variable, say 'x'. 3. Now, we can write an equation based on the given information: * If Lily donates 5 dolls, she will have 52 dolls left. This can be represented as: x - 5 = 52 4. To find the total number of dolls Lily has, we need to solve the equation: x - 5 = 52 x = 52 + 5 x = 57 Therefore, Lily has a total of 57 dolls. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * The teacher initially had 'a' sheets of star stickers. * She used 60 individual stickers to reward her students. * After using the stickers, she now has 2 sheets left. 2. Find the number of stickers in each sheet: * We know that after using 60 stickers, the teacher has 2 sheets left. * So, the number of stickers in each sheet must be 60/2 = 30. 3. Set up an equation to find the initial number of sheets: * Let 'a' be the initial number of sheets. * Each sheet has 30 stickers. * After using 60 stickers, the teacher has 2 sheets left. * So, the equation is: a ร 30 - 60 = 2 ร 30 4. Solve the equation: * a ร 30 - 60 = 2 ร 30 * a ร 30 - 60 = 60 * a ร 30 = 120 * a = 120 รท 30 * a = 4 Therefore, the teacher initially had 4 sheets of star stickers in her drawer. ### Answer: 4
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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Fahim bought 7 towels in his first visit to the store. * After all his visits, Fahim has a total of 58 towels. 2. To find the number of towels Fahim bought in his subsequent visits, we need to subtract the number of towels he bought in the first visit from the total number of towels he has now. 3. Number of towels bought in subsequent visits = Total towels - Towels bought in the first visit * Number of towels bought in subsequent visits = 58 - 7 * Number of towels bought in subsequent visits = 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The teacher starts with 67 pencils. * After some pencils are lost, she only has 10 left. 2. To find the number of pencils the teacher lost, we need to subtract the number of pencils left from the initial number of pencils: * Number of pencils lost = Initial number of pencils - Number of pencils left * 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 Opus:
Let's approach this step by step: 1) We know that the backpack originally had some items inside. Let's call this initial number of items x. 2) Later, 69 items were added to the backpack. 3) After adding these items, the total number of items in the backpack is 72. 4) We can represent this situation with an equation: Initial items (x) + Added items (69) = Total items (72) x + 69 = 72 5) To find the initial number of items, we need to solve this equation for x: x = 72 - 69 x = 3 Therefore, the backpack initially had 3 items. ### 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 Opus:
Let's solve this step by step: 1. Let's define a variable for the unknown number of cows the farmer started with. Let's call it x. 2. We know that after selling 39 cows, the farmer is left with 55 cows. We can represent this with an equation: * x - 39 = 55 3. To find the initial number of cows (x), we need to solve this equation. We can do this by adding 39 to both sides: * 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 Opus:
Let's solve this step by step: 1. Understand the given information: * The wind speed decreased by 35 mph. * After the decrease, the wind speed was 29 mph. 2. To find the original wind speed, we need to add the decrease to the final wind speed: * Original wind speed = Final wind speed + Decrease in wind speed * Original wind speed = 29 mph + 35 mph * Original wind speed = 64 mph Therefore, the wind speed before it started to decrease was 64 mph. ### Answer: 64 mph
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 Opus:
To find out how many of the piano keys are black, we need to subtract the number of white keys from the total number of keys. Given: - David has a total of 79 piano keys. - 46 of the keys are white. To calculate the number of black keys: Black keys = Total keys - White keys Black keys = 79 - 46 = 33 Therefore, 33 of the piano keys are black. ### 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 Opus:
Let's organize the information we have: * The zoo started with an unknown number of animals, which we'll call s. * 24 animals were moved to a separate area for cleaning and care. * After moving these animals, there were 75 animals left in the main section of the zoo. To find the total number of animals at the start of the day, we need to add the number of animals moved for cleaning and care to the number of animals left in the main section. In other words: * Total animals at the start (s) = Animals moved for cleaning (24) + Animals left in the main section (75) * s = 24 + 75 * 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The zoo initially had 99 animals. * Some animals were transferred to another zoo. * After the transfer, there are 18 animals left in the zoo. 2. To find the number of animals transferred, we need to subtract the remaining animals from the initial number of animals: * Animals transferred = Initial number of animals - Remaining animals * Animals transferred = 99 - 18 * 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 Opus:
Let's solve this step by step: 1. Let's define the variable: - 'j' represents the initial number of strawberries you had. 2. You ate 43 strawberries, and you're left with 13. This means: - Remaining strawberries = Initial strawberries - Eaten strawberries - 13 = j - 43 3. To find the initial number of strawberries, we add 43 to both sides of the equation: - 13 + 43 = j - 43 + 43 - 56 = j 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 Opus:
Let's solve this step by step: 1. Sara initially has 55 items in her backpack. 2. She removes 51 items from her backpack. 3. To find the number of items left, we need to subtract the removed items from the initial number of items: * Items left = Initial items - Removed items * Items left = 55 - 51 * Items left = <<55-51=4>>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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * There are currently 37 climbing spots on the jungle gym. * The manager wants to add some more climbing spots. * After adding the new spots, there will be 8 more spots available. 2. To find the total number of climbing spots after the manager adds the new ones, we need to add the current number of spots and the number of new spots: * Total spots = Current spots + New spots * Total spots = 37 + 8 * Total 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 Opus:
To solve this problem, let's organize the information we have: * Sam found 58 pens on his desk in total. * He brought an extra 26 pens from his friend's house. To find out how many pens were originally on Sam's desk, we need to subtract the number of pens he brought from his friend's house from the total number of pens he found on his desk. Originally on Sam's desk = Total pens found - Pens brought from friend's house Originally on Sam's desk = 58 - 26 = <<58-26=32>>32 Therefore, there were originally 32 pens on Sam's desk. ### 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 Opus:
To solve this problem, let's organize the given information: * The sports store has a total of 55 pairs of ice skates. * 21 pairs of ice skates are for women. We need to find the number of pairs of ice skates for men. We can do this by subtracting the number of women's ice skates from the total number of ice skates. Number of men's ice skates = Total ice skates - Women's ice skates * Number of men's ice skates = 55 - 21 * Number of men's ice skates = 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, there were 6 giraffes in the wildlife reserve. * Now, the total count of giraffes is 99. 2. To find the number of new giraffes added, we need to subtract the initial number of giraffes from the current total count: * New giraffes = Current total count - Initial number of giraffes * New giraffes = 99 - 6 * New giraffes = <<99-6=93>>93 Therefore, 93 new giraffes have been added to the group. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Emily starts with 96 toys. * After giving away some toys, she is left with 51 toys. 2. To find the number of toys Emily gave away, we need to subtract the number of toys she has left from the number of toys she started with. 3. Calculation: * Toys given away = Initial number of toys - Remaining toys * Toys given away = 96 - 51 = <<96-51=45>>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 Opus:
Let's organize the information we have: * Initially, the astronaut found a planet with 69 moons. * After further exploration, the total number of moons increased to 91. To find out how many more moons the astronaut discovered, we need to subtract the initial number of moons from the total number of moons: Additional moons = Total moons - Initial moons Additional moons = 91 - 69 = <<91-69=22>>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 Opus:
To solve this problem, let's organize the given information: * In the morning, the wind turbine produced 56 units of energy. * By evening, the total energy production reached 92 units. To find out how much energy the wind turbine produced from the morning to the evening, we need to subtract the morning energy production from the total energy production by evening. Energy produced from morning to evening = Total energy production by evening - Morning energy production Energy produced from morning to evening = 92 - 56 = 36 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 Opus:
To solve this problem, let's organize the given information: * Molly starts with 81 milliliters of toothpaste in a new tube. * She has used 78 milliliters of toothpaste. To find out how much toothpaste is left in the tube, we need to subtract the amount used from the initial amount: Toothpaste left = Initial amount - Amount used Toothpaste left = 81 milliliters - 78 milliliters Toothpaste left = <<81-78=3>>3 milliliters Therefore, there are 3 milliliters of toothpaste left in the tube. ### Answer: 3 milliliters
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 Opus:
Let's solve this step by step: 1. Understand the given information: * David initially had 31 guitar picks. * Later, he notices he only has 22 guitar picks left. 2. To find out how many guitar picks David has lost, we need to subtract the number of guitar picks he has now from the number of guitar picks he had initially. 3. Calculate the number of lost guitar picks: * Lost guitar picks = Initial number of guitar picks - Current number of guitar picks * Lost guitar picks = 31 - 22 = 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 Opus:
To solve this problem, let's use the following steps: 1. Understand the given information: * The universe has 76 stars. * We need to subtract 5 stars from the total. 2. Subtract the 5 stars from the total number of stars: * Number of stars left = Total stars - Stars subtracted * Number of stars left = 76 - 5 * Number of stars left = 71 Therefore, after subtracting 5 stars from the universe, there will be 71 stars left. ### 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Initially, you had 99 toothbrushes in your dental clinic. * After distributing some toothbrushes to patients, you have 20 left. 2. To find the number of toothbrushes distributed, we need to subtract the remaining toothbrushes from the initial number of toothbrushes: * Toothbrushes distributed = Initial number of toothbrushes - Remaining toothbrushes * Toothbrushes distributed = 99 - 20 * Toothbrushes distributed = 79 Therefore, you distributed 79 toothbrushes 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 Opus:
To solve this problem, let's organize the given information: * The starfish has a total of 12 limbs. * It uses 4 limbs to move around. * We need to find the number of limbs the starfish uses for other purposes. Now, let's calculate: 1. The number of limbs used for other purposes = Total number of limbs - Number of limbs used to move around 2. The number of limbs used for other purposes = 12 - 4 = 8 Therefore, the starfish uses 8 limbs for purposes other than moving around. ### 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The beehive initially contains 75 bees. * 15 bees left the hive in search of food. 2. To find the number of bees that remained in the hive, we need to subtract the number of bees that left from the total number of bees: * Bees remaining = Total bees - Bees that left * Bees remaining = 75 - 15 * Bees remaining = 60 Therefore, 60 bees remained in the hive. ### 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Initially, there were 'p' flowers in the garden. * 21 flowers wilted. * Now, there are 11 flowers left in the garden. 2. Set up an equation to represent the situation: * Initial flowers - Wilted flowers = Remaining flowers * p - 21 = 11 3. Solve the equation to find the initial number of flowers: * p - 21 = 11 * p - 21 + 21 = 11 + 21 * p = 32 Therefore, there were originally 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 Opus:
To find out how many building blocks Jenny used, we need to subtract the number of blocks left on her play mat from the total number of blocks she started with. Given: - Jenny has 85 building blocks in total. - After playing, she has 14 blocks left on her play mat. To calculate the number of blocks Jenny used, we can use the following equation: Blocks used = Total blocks - Blocks left on the play mat Blocks used = 85 - 14 = <<85-14=71>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * There are 56 students still seated on the bus. * 17 students have already gotten off the bus. 2. To find the initial number of students on the bus, we need to add the number of students who got off the bus to the number of students still seated. 3. Calculate the total number of students initially on the bus: * Initial number of students = Students still seated + Students who got off * Initial number of students = 56 + 17 * Initial number of students = 73 Therefore, there were initially 73 students on the school bus. ### 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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, there were f bars of soap in the storage. * 9 bars of soap were donated to a local charity. * After the donation, there are 81 bars of soap left in the storage. 2. Set up an equation to represent the problem: * Initial number of soap bars - Donated soap bars = Remaining soap bars * f - 9 = 81 3. Solve the equation to find the initial number of soap bars (f): * f - 9 = 81 * f - 9 + 9 = 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The farmer harvested 57 oranges from one tree. * The total number of oranges from both trees is 72. 2. To find the number of oranges from the other tree, we need to subtract the number of oranges from the first tree from the total number of oranges. 3. Number of oranges from the other tree = Total number of oranges - Number of oranges from the first tree * Number of oranges from the other tree = 72 - 57 * Number of oranges from the other tree = <<72-57=15>>15 Therefore, the farmer got 15 oranges from his 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The pirate ship originally had 86 cannons. * After the battle, the ship had only 31 cannons left. 2. To find the number of cannons destroyed, we need to subtract the remaining cannons from the original number of cannons: * Cannons destroyed = Original number of cannons - Remaining cannons * Cannons destroyed = 86 - 31 * Cannons destroyed = <<86-31=55>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, there were 73 sharks in the ocean. * After some time, more sharks joined, and the total number became 94. 2. To find the number of sharks that joined later, we need to subtract the initial number of sharks from the total number of sharks after the new sharks joined. 3. Number of sharks that joined later = Total number of sharks after joining - Initial number of sharks * Number of sharks that joined later = 94 - 73 * Number of sharks that joined later = 21 Therefore, 21 sharks joined 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The farmer initially had 41 bananas. * After selling some bananas, he is left with 15 bananas. 2. To find the number of bananas the farmer sold, we need to subtract the remaining bananas from the initial number of bananas: * Number of bananas sold = Initial bananas - Remaining bananas * 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 Opus:
To solve this problem, let's organize the given information: * There are 56 stars visible in the sky. * Due to city lights, you can only see 30 of these stars. To find out how many stars are obscured by the city lights, we need to subtract the number of stars you can see from the total number of visible stars: Stars obscured = Total visible stars - Stars you can see Stars obscured = 56 - 30 = <<56-30=26>>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 Opus:
Let's organize the information we have: * Initially, Tom had 65 pairs of sunglasses. * Now, Tom has 55 pairs of sunglasses. To find out how many pairs of sunglasses Tom lost, we need to subtract the number of pairs he has now from the number of pairs he had initially. Pairs of sunglasses lost = Initial number of pairs - Current number of pairs Pairs of sunglasses lost = 65 - 55 = <<65-55=10>>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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * There are 42 words on the page in total. * After reading some words, there are 2 words left that you haven't read. 2. To find the number of words you have read, we need to subtract the number of unread words from the total number of words on the page. * Number of words read = Total words - Unread words * Number of words read = 42 - 2 * Number of words read = 40 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 Opus:
To solve this problem, let's organize the given information: * Initially, there were 37 butterflies in the park. * After some butterflies left, there were 20 butterflies remaining in the park. To find out how many butterflies left the park, we need to subtract the remaining number of butterflies from the initial number of butterflies. Butterflies that left = Initial number of butterflies - Remaining number of butterflies Butterflies that left = 37 - 20 = <<37-20=17>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * The hat shop initially had (z) hats. * After selling 27 hats, there were 25 hats left in the store. 2. Set up an equation: * Initial number of hats - Sold hats = Remaining hats * z - 27 = 25 3. Solve the equation for z: * z - 27 = 25 * z - 27 + 27 = 25 + 27 * z = 52 Therefore, the store initially had 52 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 Opus:
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: - The total length of the blanket is 96 inches. - The decorative border covers 39 inches of the blanket's length. To calculate the length of the main part of the blanket, we do: Main part length = Total length - Border length Main part length = 96 inches - 39 inches = <<96-39=57>>57 inches Therefore, the length of the main part of the blanket (not including the border) is 57 inches. ### Answer: 57 inches
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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Billy has 56 pillows in his pillow fort. * He removes 46 pillows from the fort. 2. To find out how many pillows are left, we need to subtract the number of removed pillows from the total number of pillows: * Pillows left = Total pillows - Removed pillows * Pillows left = 56 - 46 * Pillows left = <<56-46=10>>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 Opus:
To find the number of pairs of non-white socks Ronnie has, we need to subtract the number of white socks from the total number of socks. Given: - Ronnie has 77 pairs of socks in total. - 52 pairs of socks are white. Number of non-white socks = Total socks - White socks Number of non-white socks = 77 - 52 = <<77-52=25>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * Jim starts with 68 pencils. * At the end of the school year, he has 13 pencils left. 2. To find out how many pencils Jim used, we need to subtract the number of pencils left from the number of pencils he started with: * Pencils used = Starting number of pencils - Pencils left * Pencils used = 68 - 13 * 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 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The farmer initially had 63 gallons of milk. * After selling some milk, the farmer is left with 27 gallons. 2. To find the number of gallons the farmer sold, we need to subtract the remaining gallons from the initial amount: * Gallons sold = Initial gallons - Remaining gallons * Gallons sold = 63 - 27 * Gallons sold = <<63-27=36>>36 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 Opus:
To find the number of sunglasses for men, we need to subtract the number of sunglasses for women from the total number of sunglasses in the store. Given: - The total number of sunglasses in the store is 87. - 40 sunglasses are for women. Number of sunglasses for men = Total sunglasses - Sunglasses for women Number of sunglasses for men = 87 - 40 = <<87-40=47>>47 Therefore, there are 47 sunglasses in the store 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 Opus:
To solve this problem, let's organize the given information: - A tube of toothpaste usually lasts for 9 weeks. - Your current tube has lasted for 61 weeks. We need to find out how many weeks your current tube has surpassed its usual duration. To do this, we can subtract the usual duration from the current duration: Weeks surpassed = Current duration - Usual duration Weeks surpassed = 61 - 9 = 52 weeks Therefore, your current tube of toothpaste has surpassed its usual duration by 52 weeks. ### Answer: 52 weeks.
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 Opus:
Let's solve this step by step: 1. We know that there are 93 shapes in total in the box. 2. Out of these 93 shapes, 79 are triangles. 3. To find the number of shapes that are not triangles, we need to subtract the number of triangles from the total number of shapes. Number of non-triangle shapes = Total shapes - Number of triangles Number of non-triangle shapes = 93 - 79 = <<93-79=14>>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 Opus:
Let's solve this step by step: 1. Understand the given information: * Initially, the rink had 44 pairs of roller skates. * After purchasing new pairs, the rink now has 71 pairs. 2. To find the number of new pairs purchased, we need to subtract the initial number of pairs from the current number of pairs: * New pairs = Current pairs - Initial pairs * New pairs = 71 - 44 * New pairs = 27 Therefore, the 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 Opus:
Let's solve this step by step: 1. Understand the given information: * The beachcomber initially found 58 starfish. * Later, he found more starfish, making his total count 69. 2. To find the number of additional starfish, we need to subtract the initial count from the total count: * Additional starfish = Total count - Initial count * Additional starfish = 69 - 58 * Additional starfish = <<69-58=11>>11 Therefore, the beachcomber found 11 additional starfish later in the day. ### Answer: 11
Expected answer: 11
Correct? Yes