Common Core Standard 3.OA.C.7
This standard covers the following:
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 ร 5 = 40, one knows 40 รท 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Problem: On a slide, for each 1 meter of sliding, Isaac gains 3 times the speed. If Isaac slides down 1 meter, how much speed does he gain?
GPT-3.5 Turbo:
Reasoning: If Isaac gains 3 times the speed for each 1 meter of sliding, then for 1 meter of sliding, he gains 3 times the speed, which is 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In light of the original problem, suppose for each 1 meter of sliding, Isaac now gains 5 times the speed instead of 3 times the speed. In this case, how much speed does he gain after sliding 1 meter?
GPT-3.5 Turbo:
Reasoning: If Isaac now gains 5 times the speed for each 1 meter of sliding, then after sliding 1 meter, he gains 5 times the speed, which is 5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: In the forest, for every 9 brown bears there are 11 times as many black bears. If there are 9 brown bears, how many black bears are there in the forest?
GPT-3.5 Turbo:
Reasoning: If there are 9 brown bears, then there are 11*9 = <<11*9=99>>99 black bears in the forest. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In a particular pond, there are 7 fish. If each fish has 2 sides, how many fish sides are there in total in the pond?
GPT-3.5 Turbo:
Reasoning: Since each fish has 2 sides, the total number of fish sides in the pond is 7 fish * 2 sides/fish = <<7*2=14>>14 fish sides. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In an experiment, it is determined that the fuel needed for a rocket is a product of the mass of that rocket and 12. If the mass of the rocket is 8, how much fuel is needed for the rocket?
GPT-3.5 Turbo:
Reasoning: The fuel needed for the rocket is the product of the mass of the rocket and 12, so the fuel needed is 8 * 12 = <<8*12=96>>96. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: In a further experiment, a third rocket with the same mass of 8 is tested, but this time it is equipped with an improved fuel system that requires less fuel. Now, this rocket requires only 5 units of fuel per mass. How much fuel is this third rocket going to need?
GPT-3.5 Turbo:
Reasoning: The fuel needed for the third rocket is the product of the mass of the rocket (8) and 5, so the fuel needed is 8 * 5 = <<8*5=40>>40. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Theresa planted 80 flower seeds evenly among 10 plots. This means each plot received a certain amount of flower seeds. If she later planted an extra plot with the same amount of seeds as in each of the previous plots, how many seeds did she use for the extra plot?
GPT-3.5 Turbo:
Reasoning: Theresa planted 80/10 = <<80/10=8>>8 flower seeds in each plot. The extra plot also received 8 seeds. Therefore, Theresa used 8 seeds for the extra plot. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In addition to planting seeds in the plots, Theresa wanted to give 7 gift bags each containing as many seeds as the number she planted in each plot. How many seeds should Theresa set aside for the gift bags?
GPT-3.5 Turbo:
Reasoning: Theresa planted 8 seeds in each plot. Theresa wants to give 7 gift bags, each containing 8 seeds. Therefore, Theresa should set aside 7 * 8 = <<7*8=56>>56 seeds for the gift bags. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: In a change of plans, Theresa divided the 80 seeds evenly between only 2 plots instead of 10. This meant each plot now received a different number of seeds than before. If she later planted an extra plot with the same amount of seeds as in each of the new plots, how many seeds did she use for the extra plot?
GPT-3.5 Turbo:
Reasoning: When Theresa divided the 80 seeds evenly between 2 plots, each plot received 80/2 = <<80/2=40>>40 seeds. The extra plot also received 40 seeds. Therefore, Theresa used 40 seeds for the extra plot. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: A dress needs 1 yard of fabric for 1 section. How many yards of fabric are needed to make that section of the dress?
GPT-3.5 Turbo:
### Answer: 1 yard of fabric is needed to make that section of the dress.
Expected answer: 1
Correct? Yes
Problem: Going back to the first part of the previous problem, suppose that each section of the dress actually requires 6 yards of fabric instead of 1. How many yards of fabric are needed for one section of the dress in this case?
GPT-3.5 Turbo:
### Answer: 6 yards of fabric are needed for one section of the dress in this case.
Expected answer: 6
Correct? Yes
Problem: Captain Blackbeard buries 11 treasure chests in a secret underground cave. To keep the treasure safe, he creates a magical spell that triples the amount of treasure chests inside the cave. How many treasure chests will be in the cave after the spell is cast?
GPT-3.5 Turbo:
Reasoning: If Captain Blackbeard buries 11 treasure chests and then triples the amount, there will be 11 * 3 = <<11*3=33>>33 treasure chests in the cave after the spell is cast. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: Remembering his magical spell, Captain Blackbeard starts to second guess himself. What if his magical spell had only doubled the amount of treasure chests instead of tripling? How many treasure chests would be in the cave in that case, after the spell is cast?
GPT-3.5 Turbo:
Reasoning: If Captain Blackbeard had doubled the amount of treasure chests instead of tripling, there would be 11 * 2 = <<11*2=22>>22 treasure chests in the cave after the spell is cast. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: If a baby giraffe grows by 4 feet every year, how tall would the giraffe be after 11 years?
GPT-3.5 Turbo:
Reasoning: After 11 years, the giraffe would grow by 4 feet/year * 11 years = <<4*11=44>>44 feet. Therefore, the giraffe would be 44 feet tall after 11 years. ### Answer: 44 feet.
Expected answer: 44
Correct? Yes
Problem: If instead the baby giraffe grows by 4 feet every year, how tall would the giraffe be after 7 years?
GPT-3.5 Turbo:
Reasoning: After 7 years, the giraffe would grow by 4 feet/year * 7 years = <<4*7=28>>28 feet. Therefore, the giraffe would be 28 feet tall after 7 years. ### Answer: 28 feet.
Expected answer: 28
Correct? Yes
Problem: Pete has 4 pieces of rope. If each piece of rope is 8 feet long, how many feet of rope does Pete have in total?
GPT-3.5 Turbo:
Reasoning: Pete has a total of 4 * 8 = <<4*8=32>>32 feet of rope. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: After examining his ropes, Pete figures out that he needs to use all of his rope for a project. If he combines all 4 pieces of his 8 foot long ropes, how many feet of rope will he have for his project?
GPT-3.5 Turbo:
Reasoning: If Pete combines all 4 pieces of his 8-foot long ropes, he will have a total of 4 * 8 = <<4*8=32>>32 feet of rope for his project. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Upon rechecking his inventory, Pete realizes he actually has 12 pieces of rope not 4. If each of these 12 ropes are 8 feet each, how much total length of rope does Pete have now?
GPT-3.5 Turbo:
Reasoning: With 12 ropes, each 8 feet long, Pete has a total of 12 * 8 = <<12*8=96>>96 feet of rope. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: In the Marine Institute, there are 81 starfish. If these starfish are equally distributed in 9 tanks, how many starfish will be placed in each tank?
GPT-3.5 Turbo:
Reasoning: If there are 81 starfish and they are distributed equally among 9 tanks, each tank will have 81/9 = <<81/9=9>>9 starfish. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Earlier, we learned the Marine Institute distributed 81 starfish equally across 9 tanks. But what if they had only 12 starfish instead? How many starfish would equal distribution across the 9 tanks result in then?
GPT-3.5 Turbo:
Reasoning: If there are 12 starfish and they are distributed equally among 9 tanks, each tank will have 12/9 = <<12/9=4>>4 starfish. ### Answer: 4
Expected answer: 4/3
Correct? No
Problem: In a sandbox, Lisa found a toy. If she finds twice as many toys every next day, how many toys will she find on the second day?
GPT-3.5 Turbo:
Reasoning: If Lisa found 1 toy on the first day, she will find 1 * 2 = 2 toys on the second day. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After finding toys in the sandbox for two days, Lisa decides to bury and later dig up the exact square of the number of toys she found on the second day. How many toys will Lisa bury and dig up if she follows this plan?
GPT-3.5 Turbo:
Reasoning: Lisa found 2 toys on the second day, so she will bury and dig up 2^2 = 4 toys. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Instead of finding twice as many toys as the previous day, Lisa now finds ten times as many toys as the previous day. How many toys will she find on the second day following this new rule?
GPT-3.5 Turbo:
Reasoning: If Lisa found 1 toy on the first day, she will find 1 * 10 = 10 toys on the second day following the new rule. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A robot can process information in 11 microseconds, but it has to be divided by 11 to match the system's speed. How quickly can the robot process information to match the system's speed?
GPT-3.5 Turbo:
Reasoning: To match the system's speed, the robot's processing time needs to be divided by 11. So, 11 microseconds / 11 = <<11/11=1>>1 microsecond. ### Answer: 1 microsecond.
Expected answer: 1
Correct? Yes
Problem: Given that the robot processed information to match the system's speed, it needed to multiply this new processing speed by itself to calculate its efficiency rate. What is the robot's efficiency rate?
GPT-3.5 Turbo:
Reasoning: If the robot's processing speed is 1 microsecond, then its efficiency rate is 1 * 1 = <<1*1=1>>1. ### Answer: 1.
Expected answer: 1
Correct? Yes
Problem: If the robot's processing speed were slightly faster and instead was able to process information in 12 microseconds which still needed to be divided by 11 to match the system's speed, how quickly could the robot process information to match the system's speed then?
GPT-3.5 Turbo:
Reasoning: If the robot's processing speed is 12 microseconds and it needs to be divided by 11 to match the system's speed, then the time needed for the robot to match the system's speed would be 12 / 11 = <<12/11=1.0909090909090908>>1.0909090909090908 microseconds. ### Answer: 1.0909090909090908 microseconds.
Expected answer: 12/11
Correct? No
Problem: Each tomato seed will produce 3 tomatoes. If Nina plants 6 tomato seeds, how many tomatoes will she produce in total?
GPT-3.5 Turbo:
Reasoning: Nina plants 6 tomato seeds, so she will produce 6 * 3 = <<6*3=18>>18 tomatoes in total. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Each of these tomatoes will produce 3 new seeds of its own. Using all the seeds from the tomatoes that Nina grows, how many new tomato plants could she potentially grow?
GPT-3.5 Turbo:
Reasoning: If each tomato produces 3 new seeds, and Nina grows 18 tomatoes, then she will have 18 * 3 = <<18*3=54>>54 new seeds in total. Therefore, Nina could potentially grow 54 new tomato plants from the seeds produced by the tomatoes she grows. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: An alien is learning the human language. For every human word, they can transmit it to their spaceship 11 times per minute. How many words will the alien be able to transmit after 1 minute if they learn a new word?
GPT-3.5 Turbo:
The alien can transmit the word 11 times in 1 minute. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In the above problem, the alien learned another new word. If they transmit each word 11 times per minute and the alien can now transmit two words, how many transmissions will the alien be able to make after 1 minute?
GPT-3.5 Turbo:
The alien can transmit each of the two words 11 times in 1 minute, so they can make a total of 11+11 = <<11+11=22>>22 transmissions in 1 minute. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: In the previous problem, instead of transmitting each word 11 times per minute, suppose the alien can only transmit each word 3 times per minute. How many transmissions will the alien be able to make after 1 minute if they learn a new word?
GPT-3.5 Turbo:
The alien can transmit the word 3 times in 1 minute. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A unicorn travels 35 miles over 7 hours. How many miles does the unicorn travel in one hour?
GPT-3.5 Turbo:
To find the distance the unicorn travels in one hour, we divide the total distance by the total time: 35 miles / 7 hours = <<35/7=5>>5 miles per hour. ### Answer: 5 miles per hour.
Expected answer: 5
Correct? Yes
Problem: If the unicorn maintains the same speed, how many miles would it travel in 3 hours?
GPT-3.5 Turbo:
To find the distance the unicorn would travel in 3 hours at a speed of 5 miles per hour, we multiply the speed by the time: 5 miles/hour * 3 hours = <<5*3=15>>15 miles. ### Answer: 15 miles.
Expected answer: 15
Correct? Yes
Problem: If instead the unicorn traveled 35 miles in 2 hours, how many miles would the unicorn travel in one hour?
GPT-3.5 Turbo:
To find the distance the unicorn travels in one hour when it travels 35 miles in 2 hours, we divide the total distance by the total time: 35 miles / 2 hours = <<35/2=17.5>>17.5 miles per hour. ### Answer: 17.5 miles per hour.
Expected answer: 35/2
Correct? No
Problem: Superhero Green Gauntlet has the ability to multiply his strength by a factor of 3. If Jetstream, another superhero, has 5 times the strength of Green Gauntlet, what is the strength of Jetstream?
GPT-3.5 Turbo:
Reasoning: Let's denote Green Gauntlet's strength as \(x\). Jetstream's strength is 5 times the strength of Green Gauntlet, so Jetstream's strength is \(5x\). Since Green Gauntlet can multiply his strength by a factor of 3, his actual strength is \(3x\). Therefore, we have the equation \(3x = x\), which simplifies to \(3 = 1\). This is not possible, so there seems to be an error in the problem setup. ### Answer: Error in the problem setup.
Expected answer: 15
Correct? No
Problem: Jason is stringing beads onto a necklace. If each necklace requires 6 beads, how many beads will be needed to make 1 necklace?
GPT-3.5 Turbo:
Reasoning: To make 1 necklace, Jason will need 6 beads. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Jason had made one necklace requiring 6 beads, but now he wants to make a total of 3 necklaces. How many beads will he need in total to make these 3 necklaces?
GPT-3.5 Turbo:
Reasoning: If Jason wants to make 3 necklaces, and each necklace requires 6 beads, then he will need a total of 6 beads * 3 necklaces = <<6*3=18>>18 beads. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the original problem, Jason made one necklace using 6 beads. But what if he wanted to use a new design that requires 8 times as many beads as his original design? How many beads would Jason need to create this new necklace?
GPT-3.5 Turbo:
Reasoning: If the new design requires 8 times as many beads as the original design, then Jason would need 8 * 6 = <<8*6=48>>48 beads to create the new necklace. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A puzzle box indicates that you need to multiply 2 by 3 to unlock it. What is the unlock code for the puzzle box?
GPT-3.5 Turbo:
Reasoning: To unlock the puzzle box, you need to multiply 2 by 3, which equals 2*3 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: After successfully unlocking the puzzle box with the code obtained by multiplying 2 by 3, a new challenge appears on the screen inside the box. It tells you to multiply the previous code by 12 to get the final secret code to complete the puzzle. What is the final code?
GPT-3.5 Turbo:
Reasoning: The previous code obtained by multiplying 2 by 3 is 6. Multiplying this by 12 gives 6*12 = 72. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: After completing the previous challenge, another puzzle appears on the next screen inside the box. It instructs you to multiply 2 by 7 instead of 3. What number will you get by following this new instruction for the puzzle?
GPT-3.5 Turbo:
Reasoning: Multiplying 2 by 7 gives 2*7 = 14. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Peter has 6 different wallets and in each wallet, he has 9 dollars. If he stacks all the money in one wallet, how much money will be in that wallet?
GPT-3.5 Turbo:
Reasoning: Peter has a total of 6 wallets, each containing 9 dollars. Therefore, the total amount of money in all the wallets is 6 * 9 = 54 dollars. If Peter stacks all the money in one wallet, there will be 54 dollars in that wallet. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: If Peter then puts all of the money from the one wallet into a piggy bank, how much money will be in the piggy bank?
GPT-3.5 Turbo:
Reasoning: If Peter puts all the money from the one wallet, which is 54 dollars, into a piggy bank, then the piggy bank will contain 54 dollars. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: If Peter originally had 12 dollars in each of the 6 wallets instead of 9, how much money would be in the one wallet then?
GPT-3.5 Turbo:
Reasoning: If Peter originally had 12 dollars in each of the 6 wallets, the total amount of money in all the wallets would be 6 * 12 = 72 dollars. If Peter stacks all the money in one wallet, there would be 72 dollars in that wallet. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A butterfly flaps its wings 9 times in one second. How many times does it flap its wings in 11 seconds?
GPT-3.5 Turbo:
Reasoning: In 11 seconds, the butterfly flaps its wings 9 times per second, so in 11 seconds it will flap its wings 9*11 = <<9*11=99>>99 times. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Now consider that the butterfly only flaps its wings 9 times in one second. How many times would it flap its wings in 4 seconds?
GPT-3.5 Turbo:
Reasoning: If the butterfly flaps its wings 9 times in one second, then in 4 seconds it will flap its wings 9*4 = <<9*4=36>>36 times. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: A plane travels at a constant speed of 12 miles per minute. How many miles would the plane cover in 6 minutes?
GPT-3.5 Turbo:
Reasoning: The plane travels at a speed of 12 miles per minute, so in 6 minutes it would cover 12 * 6 = <<12*6=72>>72 miles. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: If the plane's speed was instead 11 miles per minute, how many miles would the plane cover in the same time period of 6 minutes?
GPT-3.5 Turbo:
Reasoning: If the plane's speed is 11 miles per minute, in 6 minutes it would cover 11 * 6 = <<11*6=66>>66 miles. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Josephine has 27 pairs of ice skates and wants to divide them equally among the 9 stores where she works. How many pairs of ice skates will each store receive?
GPT-3.5 Turbo:
Reasoning: To divide 27 pairs of ice skates equally among 9 stores, we need to perform the division 27 รท 9 = <<27/9=3>>3 pairs of ice skates per store. ### Answer: 3 pairs of ice skates.
Expected answer: 3
Correct? Yes
Problem: In a different scenario, Josephine originally had 9 pairs of ice skates instead of 27 that she wanted to distribute equally among the 9 stores. How many pairs of ice skates would each store receive in this case?
GPT-3.5 Turbo:
Reasoning: If Josephine has 9 pairs of ice skates to distribute equally among 9 stores, each store would receive 9 รท 9 = <<9/9=1>>1 pair of ice skates. ### Answer: 1 pair of ice skates.
Expected answer: 1
Correct? Yes
Problem: Each soap factory produces 7 bars of soap every hour. If a factory remains operational for 11 hours, how many bars of soap are produced?
GPT-3.5 Turbo:
Reasoning: If each factory produces 7 bars of soap every hour, then in 11 hours, the factory will produce 7*11 = <<7*11=77>>77 bars of soap. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: Billy has 9 sets of kite with each set containing 3 kites. How many kites does he have in total?
GPT-3.5 Turbo:
Reasoning: Billy has 9 sets * 3 kites per set = <<9*3=27>>27 kites in total. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Billy decides to double his collection of kites. After doubling the initial amount, how many kites will he have in total?
GPT-3.5 Turbo:
Reasoning: After doubling his initial collection of 27 kites, Billy will have 27 kites * 2 = <<27*2=54>>54 kites in total. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Billy initially thought he had 9 sets of kites, but he actually had 11 sets. Given that each set contains 9 kites, how many kites does he really have in total?
GPT-3.5 Turbo:
Reasoning: Billy actually has 11 sets * 9 kites per set = <<11*9=99>>99 kites in total. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In a fairy tale, a magical creature multiplies a number by itself and gets an outcome. If the magical creature uses the number 4, what will be the outcome?
GPT-3.5 Turbo:
Reasoning: When a number is multiplied by itself, it is squared. So, 4 multiplied by itself is 4*4 = 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Continuing the fairy tale, the magical creature took the outcome from her previous spell and multiplied it by 5. What is the new number after this spell?
GPT-3.5 Turbo:
Reasoning: The outcome from the previous spell was 16. Multiplying 16 by 5 gives 16*5 = 80. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: Continuing the magical story, suppose the magical creature had initially started with the number 11 instead of 4, and had multiplied this number by 4. What would have been the outcome of the first spell in that case?
GPT-3.5 Turbo:
Reasoning: If the magical creature started with the number 11 and multiplied it by 4, the outcome would be 11 * 4 = 44. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: There are 27 chairs and they need to be equally distributed among 3 rooms. How many chairs will each room have?
GPT-3.5 Turbo:
Reasoning: To distribute the chairs equally among 3 rooms, we need to divide the total number of chairs by the number of rooms. So, 27 chairs divided by 3 rooms is 27/3 = <<27/3=9>>9 chairs per room. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: At first, there were 12 rooms instead of 3 to distribute the 27 chairs into. How many chairs would each room have in this case?
GPT-3.5 Turbo:
Reasoning: If there were 12 rooms instead of 3 to distribute the 27 chairs into, each room would have 27 chairs divided by 12 rooms, which is 27/12 = <<27/12=2.25>>2.25 chairs per room. Since we cannot have a fraction of a chair, each room would have 2 chairs and there would be 3 chairs left over. ### Answer: 2 chairs.
Expected answer: 9/4
Correct? No
Problem: A store stocks 56 toy cars uniformly over 8 shelves. How many toy cars are there per shelf?
GPT-3.5 Turbo:
Reasoning: To find the number of toy cars per shelf, we divide the total number of toy cars by the number of shelves: 56 toy cars / 8 shelves = <<56/8=7>>7 toy cars per shelf. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Now, imagine if the store decided to stock only one toy car per shelf instead, distributing 8 toy cars uniformly over 8 shelves. How many toy cars would be there per shelf?
GPT-3.5 Turbo:
Reasoning: If there are 8 toy cars distributed uniformly over 8 shelves, then there would be 8 toy cars / 8 shelves = <<8/8=1>>1 toy car per shelf. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a restaurant, every pizza slice takes 6 minutes to cook and a full pizza has 3 slices. If the restaurant wants to make 3 full pizzas, how long will it take in total?
GPT-3.5 Turbo:
Reasoning: Since a full pizza has 3 slices, then 3 full pizzas will have 3 * 3 = <<3*3=9>>9 slices in total. Therefore, it will take 9 * 6 = <<9*6=54>>54 minutes in total to cook 3 full pizzas. ### Answer: 54 minutes.
Expected answer: 54
Correct? Yes
Problem: In addition to the 3 pizzas, the restaurant also wants to make a special pizza that takes the same amount of time as the 3 pizzas combined. How long will it take to make the special pizza?
GPT-3.5 Turbo:
Reasoning: Since the 3 pizzas take 54 minutes to cook in total, the special pizza will also take 54 minutes to cook. ### Answer: 54 minutes.
Expected answer: 54
Correct? Yes
Problem: The restaurant has revised its pizza cooking time. Now, each slice of pizza takes only 1 minute to cook but a full pizza still has 3 slices. Now, how long will it take to make 3 full pizzas?
GPT-3.5 Turbo:
Reasoning: With each slice taking 1 minute to cook, a full pizza with 3 slices will take 3 * 1 = <<3*1=3>>3 minutes to cook. Therefore, it will take 3 * 3 = <<3*3=9>>9 minutes to cook 3 full pizzas. ### Answer: 9 minutes.
Expected answer: 9
Correct? Yes
Problem: Arthur drives his car 7 hours each day for 4 days. How many total hours did Arthur spend driving his car over this period?
GPT-3.5 Turbo:
Reasoning: Arthur drove for 7 hours/day * 4 days = <<7*4=28>>28 hours in total. ### Answer: 28.
Expected answer: 28
Correct? Yes
Problem: Considering the previous problem, what if Arthur only drove his car for 2 hours each day for that same 4-day period? How many total hours did Arthur spend driving his car over this period?
GPT-3.5 Turbo:
Reasoning: If Arthur drove for 2 hours/day * 4 days = <<2*4=8>>8 hours in total. ### Answer: 8.
Expected answer: 8
Correct? Yes
Problem: If each blanket requires 6 yards of yarn for one section, and each finished blanket is made up of 5 such sections, how many yards of yarn do you need to create one blanket?
GPT-3.5 Turbo:
Reasoning: To create one blanket, you need 6 yards/section * 5 sections = <<6*5=30>>30 yards of yarn. ### Answer: 30 yards.
Expected answer: 30
Correct? Yes
Problem: Following the previous problem, if you were given the task to make two blankets with the same size and design, how many yards of yarn would you need in total?
GPT-3.5 Turbo:
Reasoning: To make two blankets, you would need 30 yards/blanket * 2 blankets = <<30*2=60>>60 yards of yarn in total. ### Answer: 60 yards.
Expected answer: 60
Correct? Yes
Problem: Following the initial problem, consider if each blanket requires six yards of yarn for just one section, but the new design demands that a blanket is made up of 12 such sections. How many yards of yarn would you now need to create one blanket with this new design?
GPT-3.5 Turbo:
Reasoning: With the new design, to create one blanket, you need 6 yards/section * 12 sections = <<6*12=72>>72 yards of yarn. ### Answer: 72 yards.
Expected answer: 72
Correct? Yes
Problem: A bus travels at a speed of 7 miles per hour. How many miles will the bus travel after 6 hours?
GPT-3.5 Turbo:
Reasoning: The bus travels 7 miles per hour, so in 6 hours it will travel 7*6 = <<7*6=42>>42 miles. ### Answer: 42 miles.
Expected answer: 42
Correct? Yes
Problem: Following the previous scenario, consider that the bus was actually traveling at a speed of 10 miles per hour, not 7. How many miles would the bus have travelled after 6 hours in this case?
GPT-3.5 Turbo:
Reasoning: If the bus is traveling at a speed of 10 miles per hour, then in 6 hours it will travel 10*6 = <<10*6=60>>60 miles. ### Answer: 60 miles.
Expected answer: 60
Correct? Yes
Problem: Superhero Starlight has a power level that is the product of multiplying 3 by 5. What is Starlight's power level?
GPT-3.5 Turbo:
Reasoning: The product of multiplying 3 by 5 is 3*5 = <<3*5=15>>15. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Superhero Starlight, after completing her special power-up training, can now increase her initial power level by three times. If her initial power level was the product of multiplying 3 by 5, what is her new power level after the power-up training?
GPT-3.5 Turbo:
Reasoning: Starlight's initial power level is 3*5 = <<3*5=15>>15. After the power-up training, her new power level is 15*3 = <<15*3=45>>45. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: Considering that Superhero Starlight initially had a power level that was the product of multiplying 3 by 5, let's imagine if her initial power level was actually the product of multiplying 3 by 6. What would her initial power level be in this scenario?
GPT-3.5 Turbo:
Reasoning: If Starlight's initial power level was the product of multiplying 3 by 6, then her initial power level would be 3*6 = <<3*6=18>>18. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Jessica has a backpack that when you measure one side, is 10 inches long. What is the area of one side of Jessica's backpack assuming it is a perfect square?
GPT-3.5 Turbo:
Reasoning: Since one side of the backpack is 10 inches long, the area of one side of the backpack is 10 inches * 10 inches = 100 square inches. ### Answer: 100 square inches.
Expected answer: 100
Correct? Yes
Problem: Now consider that Jessica has another backpack, this one has a side that measures 4 inches. What is the area of one side of this backpack, again assuming it is a perfect square?
GPT-3.5 Turbo:
Reasoning: Since one side of the second backpack is 4 inches long, the area of one side of the second backpack is 4 inches * 4 inches = 16 square inches. ### Answer: 16 square inches.
Expected answer: 16
Correct? Yes
Problem: Captain Sparrow found 36 gold doubloons. He wants to divide it equally among his 3 crew members. How many gold doubloons will each crew member get?
GPT-3.5 Turbo:
Reasoning: To find out how many gold doubloons each crew member will get, we divide the total number of gold doubloons by the number of crew members. So, 36 gold doubloons divided by 3 crew members is 36/3 = <<36/3=12>>12 gold doubloons per crew member. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Suppose Captain Sparrow had initially found 36 gold doubloons, but this time he wants to divide them equally among 7 crew members, not 3. How many gold doubloons will each crew member get now?
GPT-3.5 Turbo:
Reasoning: To find out how many gold doubloons each crew member will get when dividing among 7 crew members, we divide the total number of gold doubloons by the number of crew members. So, 36 gold doubloons divided by 7 crew members is 36/7 = 5.142857... However, since we cannot have a fraction of a gold doubloon, each crew member will get 5 gold doubloons. ### Answer: 5
Expected answer: 36/7
Correct? No
Problem: A robot factory produces 5 robots each hour. If the factory increases its output to twice this amount, how many robots will it produce each hour?
GPT-3.5 Turbo:
Reasoning: The factory produces 5 robots per hour, so doubling this amount gives 5*2 = <<5*2=10>>10 robots per hour. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In the previous problem, the robot factory increased its output to twice its original amount, making 10 robots each hour. If the factory were to then multiply this new hourly output by the same amount they were originally making each hour (5 robots), how many robots would the factory make every hour?
GPT-3.5 Turbo:
Reasoning: If the factory were to multiply its new hourly output of 10 robots by the original amount of 5 robots, it would produce 10*5 = <<10*5=50>>50 robots every hour. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: In the previous problem, the robot factory was originally making 5 robots each hour. However, if the factory were to increase its output to six times the original amount instead, how many robots would it produce each hour?
GPT-3.5 Turbo:
Reasoning: If the factory were to increase its output to six times the original amount, it would produce 5*6 = <<5*6=30>>30 robots per hour. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: If one bike wheel has a radius of 81 / 9 units, and the height of a certain signpost is 9 times this radius, what is the height of the signpost?
GPT-3.5 Turbo:
Reasoning: The radius of the bike wheel is 81 / 9 = 9 units. The height of the signpost is 9 * 9 = <<9*9=81>>81 units. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: If one bike wheel still has a radius of 81/9 units, but now the height of a certain bike rack is only 6 times this radius, what is the height of the bike rack?
GPT-3.5 Turbo:
Reasoning: The radius of the bike wheel is 81/9 = 9 units. The height of the bike rack is 6 * 9 = 54 units. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: On a sunny day, Jamie took some time to swing on a tree. He swung 11 times in every minute and he spent 1 minute swinging. How many times did Jamie swing in total?
GPT-3.5 Turbo:
Reasoning: Jamie swung 11 times in 1 minute, so he swung a total of 11 * 1 = <<11*1=11>>11 times. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Following on from the previous problem, if Jamie continued swinging at the same pace for 3 more minutes, how many times would he have swung in total over those extra minutes?
GPT-3.5 Turbo:
Reasoning: Jamie swings 11 times in 1 minute, so in 3 minutes he would swing 11 * 3 = <<11*3=33>>33 times. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: After his first session, Jamie took a break and then returned to the swing. This second time, he swung 6 times per minute for one minute. How many times did he swing in that minute?
GPT-3.5 Turbo:
Reasoning: Jamie swung 6 times in 1 minute during his second session. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: James has 9 robot toys and he buys the same amount again. How many robot toys does he have now?
GPT-3.5 Turbo:
Reasoning: James buys 9 more robot toys, so he now has 9 + 9 = <<9+9=18>>18 robot toys. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Let's say instead of initially having 9 robot toys and buying the same amount again, James originally had 9 robot toys, but this time, he decided to buy 5 more sets of 9 toys each. How many robot toys does James have now?
GPT-3.5 Turbo:
Reasoning: James originally had 9 robot toys. He bought 5 sets of 9 toys each, which is a total of 5 * 9 = <<5*9=45>>45 robot toys. Therefore, James now has 9 + 45 = <<9+45=54>>54 robot toys. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A farmer has 11 chickens and each chicken lays 7 eggs in a week. How many eggs do the chickens lay in total in a week?
GPT-3.5 Turbo:
Reasoning: If each of the 11 chickens lays 7 eggs in a week, then the total number of eggs laid by all the chickens in a week is 11 * 7 = 77 eggs. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: The farmer from the previous problem sells each egg for 1 dollar. How much money does the farmer make in a week by selling all the eggs?
GPT-3.5 Turbo:
Reasoning: If the farmer sells each egg for 1 dollar and there are 77 eggs laid in a week, then the farmer makes 77 * 1 = 77 dollars by selling all the eggs in a week. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In the previous problem, if the farmer only had 2 chickens instead of 11, and each chicken still lays 7 eggs in a week, how many eggs would the chickens lay in total in a week?
GPT-3.5 Turbo:
Reasoning: If each of the 2 chickens lays 7 eggs in a week, then the total number of eggs laid by both chickens in a week is 2 * 7 = 14 eggs. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In an enchanting forest, a certain type of tree grows 4 centimeters each day. If it only grows half of this amount each night, how many centimeters does the tree grow overnight?
GPT-3.5 Turbo:
Reasoning: The tree grows 4/2 = <<4/2=2>>2 centimeters each night. ### Answer: 2 centimeters.
Expected answer: 2
Correct? Yes
Problem: The enchanted tree that has been growing in the forest doesn't stop there. Overnight, it grows half of its daily growth rate, which is 4 cm. If this overnight height is multiplied by 10, how long is the final growth of the tree over these 10 nights?
GPT-3.5 Turbo:
Reasoning: The tree grows 2 cm overnight. Over 10 nights, the total growth overnight is 2 * 10 = <<2*10=20>>20 cm. ### Answer: 20 cm.
Expected answer: 20
Correct? Yes
Problem: The enchanted tree that was previously growing at an overnight rate of 4 cm changes its growth pattern. Now, it starts to grow at a rate of 10 centimeters each day, but it still grows only half of this amount each night. How many centimeters does the tree now grow overnight?
GPT-3.5 Turbo:
Reasoning: The tree now grows 10/2 = <<10/2=5>>5 centimeters each night. ### Answer: 5 centimeters.
Expected answer: 5
Correct? Yes
Problem: In a laboratory experiment, a group of 77 mice are divided equally among 11 cages. How many mice would be in each cage?
GPT-3.5 Turbo:
Reasoning: To find out how many mice are in each cage, we divide the total number of mice by the number of cages: 77 mice / 11 cages = 7 mice per cage. ### Answer: 7.
Expected answer: 7
Correct? Yes
Problem: After having divided the mice among the 11 cages, the scientist realized that she made a mistake and originally there were only 77 mice but some of them were counted twice. After correcting for this mistake, she realized that she actually only had 77 / 2 mice. How many mice did the scientist have originally?
GPT-3.5 Turbo:
Let's first find out how many mice were counted twice: 77 - (77 / 2) = 77 - 38.5 = 38.5 mice were counted twice. Now, let's find out how many mice the scientist originally had: 77 + 38.5 = 115.5 mice. Since we cannot have half a mouse, we can conclude that the scientist originally had 115 mice. ### Answer: 115.
Expected answer: 77/2
Correct? No
Problem: Sally makes earrings. She needs 35 beads to make a set of earrings, but she divides this amount by 5 to make each individual earring. If she wants to make 8 earrings, how many beads will she need in total?
GPT-3.5 Turbo:
Reasoning: Sally needs 35/5 = <<35/5=7>>7 beads to make each earring. To make 8 earrings, Sally will need a total of 7*8 = <<7*8=56>>56 beads. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: Sally realizes that she made a mistake in her calculations for making earrings. Instead of needing 35 beads for a set of earrings, she only needs 35 beads for a display of five earrings. Therefore, she recalculates and finds that to make each earring she only needs to divide this new amount by five. If she wants to make just 2 earrings, how many beads will she need now?
GPT-3.5 Turbo:
Reasoning: Sally needs 35/5 = <<35/5=7>>7 beads to make each earring. To make 2 earrings, Sally will need a total of 7*2 = <<7*2=14>>14 beads. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Brenda has 9 apples and wishes to divide them equally amongst her 9 friends, so each friend receives the same amount. How many apples will each friend get?
GPT-3.5 Turbo:
Reasoning: Brenda has 9 apples to divide among 9 friends, so each friend will receive 9/9 = <<9/9=1>>1 apple. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a new scenario, Brenda has 9 apples but this time she only wants to divide them evenly among her 2 closest friends. Given this change, how many apples will each friend receive now?
GPT-3.5 Turbo:
Reasoning: Brenda has 9 apples to divide among 2 friends, so each friend will receive 9/2 = <<9/2=4.5>>4.5 apples. ### Answer: 4.5
Expected answer: 9/2
Correct? Yes
Problem: In a circus, a tightrope is set 10 feet off the ground. A stuntman wants to do a daring stunt - he wants to walk from one side of the tightrope to the other. The tightrope is five times the height above the ground. What distance will he need to walk to complete his stunt?
GPT-3.5 Turbo:
Reasoning: Since the tightrope is 10 feet off the ground and is five times the height above the ground, the total height of the tightrope is 10*5 = <<10*5=50>>50 feet. The stuntman will need to walk the length of the tightrope, which is the hypotenuse of a right triangle with legs of 10 feet and 50 feet. Using the Pythagorean theorem, the distance he needs to walk is sqrt(10^2 + 50^2) = sqrt(100 + 2500) = sqrt(2600) = 50 feet. ### Answer: 50 feet.
Expected answer: 50
Correct? Yes
Problem: After completing his daring stunt, the tightrope walker decides to challenge himself further and wants to perform the same stunt on a tightrope that's only 1 foot off the ground. Now, how far would he need to walk considering the tightrope is still five times the height above the ground?
GPT-3.5 Turbo:
Reasoning: If the tightrope is only 1 foot off the ground and is five times the height above the ground, the total height of the tightrope is 1*5 = <<1*5=5>>5 feet. The stuntman will need to walk the length of the tightrope, which is the hypotenuse of a right triangle with legs of 1 foot and 5 feet. Using the Pythagorean theorem, the distance he needs to walk is sqrt(1^2 + 5^2) = sqrt(1 + 25) = sqrt(26) โ 5.1 feet. ### Answer: Approximately 5.1 feet.
Expected answer: 5
Correct? No
Problem: The length of one side of a square is equal to the result of dividing 30 by 6. What is the total area of the square?
GPT-3.5 Turbo:
Reasoning: The length of one side of the square is 30/6 = <<30/6=5>>5 units. The area of a square is side length squared, so the total area of the square is 5^2 = <<5*5=25>>25 square units. ### Answer: 25 square units.
Expected answer: 25
Correct? Yes
Problem: The length of one side of a square is equal to the result of dividing 30 by 6. The total area of the square is found by multiplying the length of one side by itself. Now, if we multiply this area by 3, what will be the new value?
GPT-3.5 Turbo:
Given that the area of the square is 25 square units, multiplying this area by 3 gives 25 * 3 = 75 square units. ### Answer: 75 square units.
Expected answer: 75
Correct? Yes
Problem: In the original problem, the length of one side of the square was found by dividing 30 by 6. Now consider a new scenario where the length of the square is instead found by dividing number 12 by 6. What would be the total area of this new square?
GPT-3.5 Turbo:
Reasoning: If the length of one side of the new square is 12/6 = <<12/6=2>>2 units. The area of a square is side length squared, so the total area of the new square is 2^2 = <<2*2=4>>4 square units. ### Answer: 4 square units.
Expected answer: 4
Correct? Yes
Problem: A certain star emits 7 particles every second. If this continues for 8 seconds, how many particles does the star emit in total?
GPT-3.5 Turbo:
Reasoning: The star emits 7 particles every second for 8 seconds, so the total number of particles emitted is 7 * 8 = <<7*8=56>>56 particles. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: If the first star, instead of emitting particles for 8 seconds, only emits particles for 5 seconds, how many particles will then it emit?
GPT-3.5 Turbo:
Reasoning: If the star emits 7 particles every second for 5 seconds, the total number of particles emitted is 7 * 5 = <<7*5=35>>35 particles. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A shoe factory can create 24 shoes in three hours. If the factory runs for five hours, how many shoes will be produced?
GPT-3.5 Turbo:
Reasoning: The factory produces 24/3 = <<24/3=8>>8 shoes per hour. Therefore, in 5 hours, the factory will produce 8 x 5 = <<8*5=40>>40 shoes. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: The shoe factory increased its production time from five hours to ten hours. Now, how many shoes will the factory produce if it's still able to create 24 shoes every three hours?
GPT-3.5 Turbo:
Reasoning: The factory produces 24/3 = <<24/3=8>>8 shoes per hour. In 10 hours, the factory will produce 8 x 10 = <<8*10=80>>80 shoes. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A unique species of butterfly only lives for 5 days in each month. Considering this fact, how many days total does the butterfly species live in a span of a year, which is 12 months?
GPT-3.5 Turbo:
Reasoning: The butterfly species lives for 5 days in each month, so in a year with 12 months, it lives for 5 days/month * 12 months = 60 days. ### Answer: 60.
Expected answer: 60
Correct? Yes
Problem: Considering the same unique species of butterfly, but now in a different region it only lives for 5 days each week instead of per month. How many days total does the butterfly species live in a 7-week span?
GPT-3.5 Turbo:
Reasoning: The butterfly species lives for 5 days each week, so in a 7-week span, it lives for 5 days/week * 7 weeks = 35 days. ### Answer: 35.
Expected answer: 35
Correct? Yes
Problem: In fairy land, one ordinary mushroom provides food for 10 fairies for a day. If a magic mushroom can provide food as 4 ordinary mushrooms, how many fairies can a magic mushroom feed for a day?
GPT-3.5 Turbo:
Reasoning: Since a magic mushroom can provide food as 4 ordinary mushrooms, it can feed 4 * 10 = <<4*10=40>>40 fairies for a day. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: In fairy land, change the original number of fairies an ordinary mushroom can feed from 10 to 11. With this change, how many fairies can a magic mushroom, which can provide food as 4 ordinary mushrooms, feed for a day?
GPT-3.5 Turbo:
Reasoning: With the original number of fairies an ordinary mushroom can feed changed to 11, a magic mushroom can feed 4 * 11 = <<4*11=44>>44 fairies for a day. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: A river is flowing at a rate of 4 kilometers per hour. How far can the river flow in 10 hours?
GPT-3.5 Turbo:
Reasoning: The river flows at a rate of 4 kilometers per hour, so in 10 hours, it can flow 4 km/hour * 10 hours = <<4*10=40>>40 kilometers. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: If the speed of the river were instead 4 kilometers per hour for 2 hours, how far would the river flow within these 2 hours?
GPT-3.5 Turbo:
Reasoning: The river flows at a rate of 4 kilometers per hour, so in 2 hours, it can flow 4 km/hour * 2 hours = <<4*2=8>>8 kilometers. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A slide is double the height of Ava who is 12 feet tall. How tall is the slide?
GPT-3.5 Turbo:
Reasoning: If Ava is 12 feet tall, then the slide is 12*2 = <<12*2=24>>24 feet tall. ### Answer: 24 feet.
Expected answer: 24
Correct? Yes
Problem: Following up on the last problem: If Ava decides to triple the height of the slide that is double her height, how high will the new slide be?
GPT-3.5 Turbo:
Reasoning: If the slide is currently 24 feet tall and Ava triples its height, the new slide will be 24*3 = <<24*3=72>>72 feet tall. ### Answer: 72 feet.
Expected answer: 72
Correct? Yes
Problem: In the previous problem, Ava was initially considering a slide double her height when she was 12 feet tall. However, let's say Ava is actually 11 feet tall. In that case, how high would the slide be if it was still double her height?
GPT-3.5 Turbo:
Reasoning: If Ava is 11 feet tall, then the slide would be 11*2 = <<11*2=22>>22 feet tall. ### Answer: 22 feet.
Expected answer: 22
Correct? Yes
Problem: There's a tap which fills a tank at a rate of 2 liters per minute. How much water will be in the tank after 9 minutes?
GPT-3.5 Turbo:
Reasoning: The tank will have 2 liters/minute * 9 minutes = <<2*9=18>>18 liters of water after 9 minutes. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: What if the tap was turned on for 7 minutes instead of 9 minutes? How much water would the tap fill in the tank in that case?
GPT-3.5 Turbo:
Reasoning: The tank will have 2 liters/minute * 7 minutes = <<2*7=14>>14 liters of water after 7 minutes. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Fred received 12 letters in one week and he reads them evenly over 3 days. How many letters does he read per day?
GPT-3.5 Turbo:
Reasoning: Fred reads 12 letters over 3 days, so he reads 12/3 = <<12/3=4>>4 letters per day. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Fred received 11 letters in one week instead of 12. If he still reads them evenly over 3 days, how many letters does he read per day now?
GPT-3.5 Turbo:
Reasoning: If Fred received 11 letters in one week and reads them evenly over 3 days, he reads 11/3 = <<11/3=3.67>>3.67 letters per day. Since he cannot read a fraction of a letter, we can round down to the nearest whole number. Therefore, Fred reads 3 letters per day. ### Answer: 3
Expected answer: 11/3
Correct? No
Problem: A toy car factory produces 8 cars every hour 24/7. If the factory runs for 12 hours a day, how many cars will it produce in one day?
GPT-3.5 Turbo:
Reasoning: The factory produces 8 cars every hour, so in one day (24 hours), it will produce 8*24 = <<8*24=192>>192 cars. Since the factory only runs for 12 hours a day, it will produce 192/24*12 = <<192/24*12=96>>96 cars in one day. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: After the shifts mentioned in the previous problem, the toy car factory decides to change its production rate. Now, instead of producing 8 cars per hour as before, it produces 5 cars per hour. If the factory continues to run for 12 hours a day, how many cars will it produce in one day now?
GPT-3.5 Turbo:
Reasoning: The factory now produces 5 cars every hour, so in one day (24 hours), it would produce 5*24 = <<5*24=120>>120 cars. Since the factory only runs for 12 hours a day, it will produce 120/24*12 = <<120/24*12=60>>60 cars in one day now. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: If baby Lily got 44 toys divided evenly among her 4 cousins, each cousin would get 'i' number of toys. If we multiply 'i' by 5, how many toys would that represent?
GPT-3.5 Turbo:
Reasoning: If baby Lily got 44 toys divided evenly among her 4 cousins, each cousin would get 44/4 = 11 toys. If we multiply 11 by 5, we get 11*5 = 55 toys. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: If instead Baby Lily originally got 44 toys but this time, she divided them evenly among her 11 friends, each friend would get 'i' number of toys. If we multiply 'i' by 5, how many toys would that represent?
GPT-3.5 Turbo:
Reasoning: If Baby Lily divided 44 toys evenly among her 11 friends, each friend would get 44/11 = 4 toys. Multiplying 4 by 5 gives us 4*5 = 20 toys. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Mike has $9 and he wants to divide it equally among his 3 children. How much money will each child recieve?
GPT-3.5 Turbo:
Reasoning: To divide $9 equally among 3 children, we need to divide $9 by 3. Each child will receive $9/3 = $<<9/3=3>>3. ### Answer: $3
Expected answer: 3
Correct? Yes
Problem: If each of Mike's children decided to save the money they received from their father every month for a year, how much money would each child have saved by the end of the year?
GPT-3.5 Turbo:
Reasoning: Each child receives $3 every month, so in a year (12 months), each child would save $3 x 12 = $<<3*12=36>>36. Each child would have saved $36 by the end of the year. ### Answer: $36
Expected answer: 36
Correct? Yes
Problem: If Mike had $11 instead of $9 and he still decided to divide it equally among his 3 children, how much money would each child receive now?
GPT-3.5 Turbo:
Reasoning: If Mike has $11 and he wants to divide it equally among 3 children, each child will receive $11/3 = $<<11/3=3.67>>3.67. However, since we are dealing with money, we need to round to the nearest cent. Each child will receive $3.67 rounded to the nearest cent, which is $3.67. ### Answer: $3.67
Expected answer: 11/3
Correct? No
Problem: If a cow produces 72 liters of milk in 12 days, and you need to find out how much milk it produces in a day, then use this amount to calculate how much milk the cow will produce in 12 days.
GPT-3.5 Turbo:
Reasoning: To find out how much milk the cow produces in a day, we divide the total amount of milk produced in 12 days by the number of days. 72 liters / 12 days = 6 liters/day To find out how much milk the cow will produce in 12 days, we multiply the amount of milk produced in a day by the number of days. 6 liters/day * 12 days = 72 liters ### Answer: 72 liters.
Expected answer: 72
Correct? Yes
Problem: If instead the cow produced 72 liters of milk in 10 days, and you still wanted to find out how much milk it would produce in 12 days, how much would that be?
GPT-3.5 Turbo:
Reasoning: If the cow produces 72 liters of milk in 10 days, we can find out how much milk it produces in a day by dividing the total amount of milk by the number of days. 72 liters / 10 days = 7.2 liters/day To find out how much milk the cow will produce in 12 days, we multiply the amount of milk produced in a day by the number of days. 7.2 liters/day * 12 days = 86.4 liters ### Answer: 86.4 liters.
Expected answer: 432/5
Correct? No
Problem: On a map, 30 miles is represented as 10 inches. How many miles does 1 inch represent?
GPT-3.5 Turbo:
Reasoning: If 30 miles is represented as 10 inches on the map, then 1 inch represents 30/10 = <<30/10=3>>3 miles. ### Answer: 3 miles.
Expected answer: 3
Correct? Yes
Problem: If the scale of the map is adjusted so that instead of 30 miles being represented by 10 inches, it is now represented by 12 inches, how many miles would 1 inch represent on the new map?
GPT-3.5 Turbo:
Reasoning: If 30 miles is now represented by 12 inches on the map, then 1 inch would represent 30/12 = <<30/12=2.5>>2.5 miles on the new map. ### Answer: 2.5 miles.
Expected answer: 5/2
Correct? No
Problem: A truck has 8 tires. If each tire can carry a load of 8 tons, how much total load can the truck carry when all tires are fully loaded?
GPT-3.5 Turbo:
Reasoning: Since each tire can carry 8 tons, the total load the truck can carry when all tires are fully loaded is 8 tons/tire * 8 tires = <<8*8=64>>64 tons. ### Answer: 64 tons.
Expected answer: 64
Correct? Yes
Problem: If the truck with all the tires fully loaded is carrying cargo weighing the same as the total load the tires can handle, what would be the total weight being carried by the truck?
GPT-3.5 Turbo:
Reasoning: If the total load the tires can handle is 64 tons, then the total weight being carried by the truck would also be 64 tons. ### Answer: 64 tons.
Expected answer: 64
Correct? Yes
Problem: In the previous scenario, each tire was capable of carrying a load of 8 tons. But what if each tire was only capable of carrying a load of 3 tons? How much total load could the truck carry then when all tires are fully loaded?
GPT-3.5 Turbo:
Reasoning: If each tire can carry 3 tons, the total load the truck can carry when all tires are fully loaded is 3 tons/tire * 8 tires = <<3*8=24>>24 tons. ### Answer: 24 tons.
Expected answer: 24
Correct? Yes
Problem: If you have 4 fruits and each fruit provides 1 cup of juice, how many cups of juice can you get in total?
GPT-3.5 Turbo:
Reasoning: If each fruit provides 1 cup of juice and you have 4 fruits, then you can get 1*4 = <<1*4=4>>4 cups of juice in total. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If instead you started with just 1 fruit, how many cups of juice would you be able to make?
GPT-3.5 Turbo:
Reasoning: If you have 1 fruit and each fruit provides 1 cup of juice, then you can get 1*1 = <<1*1=1>>1 cup of juice in total. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Sara has a box of colored pencils, and she has 5 colors. If she has 5 of each type, how many colored pencils does Sara have in total?
GPT-3.5 Turbo:
Reasoning: Since Sara has 5 colored pencils of each color, she has 5 * 5 = <<5*5=25>>25 colored pencils in total. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Sara decided to duplicate her complete set of colored pencils and she bought exactly the same amount as she had. Now, how many colored pencils does Sara have in total?
GPT-3.5 Turbo:
Reasoning: If Sara duplicates her complete set of colored pencils, she will have 25 * 2 = <<25*2=50>>50 colored pencils in total. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Sara suddenly realized that she had miscalculated; she actually has 11 of each type of colored pencil, not 5. With this correction, how many colored pencils does Sara really have?
GPT-3.5 Turbo:
Reasoning: If Sara has 11 colored pencils of each color, she has 11 * 5 = <<11*5=55>>55 colored pencils in total. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In a word, each letter corresponds to a point in a game. If you have a 12-letter word, how many points will you get if each letter corresponds to 1 point in the game?
GPT-3.5 Turbo:
Reasoning: If each letter corresponds to 1 point in the game, then a 12-letter word will give you 12 points. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: You have decided to play 8 rounds of the same game. If you continue to use the same 12-letter word in each round, how many points will you accumulate in total from all the rounds?
GPT-3.5 Turbo:
Reasoning: Since each round gives you 12 points, playing 8 rounds with the same 12-letter word will accumulate a total of 8 * 12 = 96 points. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: You decide to change your strategy in the next game and instead use a 9-letter word. If each letter still corresponds to 1 point, how many points will you get in this game?
GPT-3.5 Turbo:
Reasoning: If each letter corresponds to 1 point in the game, then a 9-letter word will give you 9 points. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Jake has 7 crates, each containing 7 bottles of water. How many bottles of water does he have in total?
GPT-3.5 Turbo:
Reasoning: Jake has 7 crates * 7 bottles of water = <<7*7=49>>49 bottles of water in total. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Jake decided to not drink any of the water just yet and stored all the bottles in his garage. After leaving the bottles in the garage untouched, how many bottles does Jake still have?
GPT-3.5 Turbo:
Since Jake has not touched any of the bottles, he still has all 49 bottles of water. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A piano has 4 legs. If there are 2 pianos in the music room, how many legs are there in total?
GPT-3.5 Turbo:
Reasoning: Each piano has 4 legs, so 2 pianos will have 2 * 4 = <<2*4=8>>8 legs in total. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Considering from the previous question, what if each piano only had 3 legs instead of 4. With 2 pianos in the music room, how many legs would there be in total?
GPT-3.5 Turbo:
Reasoning: If each piano had 3 legs, then 2 pianos would have 2 * 3 = <<2*3=6>>6 legs in total. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A keyring holds 2 keys but each keyring must be split between two people. How many keys does each person get?
GPT-3.5 Turbo:
Reasoning: Since each keyring holds 2 keys and is split between 2 people, each person gets 2/2 = <<2/2=1>>1 key. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Following the previous scenario, if there are 11 keyrings in total, how many keys does each person get?
GPT-3.5 Turbo:
Reasoning: Since each keyring is split between 2 people and there are 11 keyrings in total, there are a total of 11 * 2 = <<11*2=22>>22 keys. Each person gets 22 / 2 = <<22/2=11>>11 keys. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In the previous scenario, suppose now that each keyring holds 3 keys, but still has to be split amongst two people. How many keys does each person get now?
GPT-3.5 Turbo:
Reasoning: Since each keyring holds 3 keys and is split between 2 people, each person gets 3/2 = <<3/2=1.5>>1.5 keys. However, since keys cannot be split, each person will still get 1 key. ### Answer: 1
Expected answer: 3/2
Correct? No
Problem: Javier has 9 crates of bottles. Each crate contains 6 bottles, how many bottles does Javier have?
GPT-3.5 Turbo:
Reasoning: Javier has 9 crates * 6 bottles = <<9*6=54>>54 bottles. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Javier decided to pack more bottles into his crates. Now, each crate contains 8 bottles instead of 6. How many bottles does Javier have now with his 9 crates?
GPT-3.5 Turbo:
Reasoning: With each crate containing 8 bottles now, Javier has 9 crates * 8 bottles = <<9*8=72>>72 bottles. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A shirt costs 10 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros?
GPT-3.5 Turbo:
Reasoning: Since 1 dollar equals 1 euro, the shirt costs 10 euros. ### Answer: 10 euros.
Expected answer: 10
Correct? Yes
Problem: Following the previous question: if the exchange rate changes and now 1 euro equals 1 dollar, how much will the shirt cost in dollars now?
GPT-3.5 Turbo:
Reasoning: If 1 euro equals 1 dollar, the shirt will now cost 10 dollars. ### Answer: 10 dollars.
Expected answer: 10
Correct? Yes
Problem: After the price changes, the shirt now costs 9 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros now?
GPT-3.5 Turbo:
Reasoning: Since 1 dollar equals 1 euro, the shirt now costs 9 euros. ### Answer: 9 euros.
Expected answer: 9
Correct? Yes
Problem: If a plant grows 12 flowers each month, how many flowers will it grow in 5 months?
GPT-3.5 Turbo:
Reasoning: In 5 months, the plant will grow 12 flowers/month * 5 months = <<12*5=60>>60 flowers. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: A beach ball is being blown up to be twice the size of its original size of 3 feet in diameter. What will be the diameter of the beach ball after it is blown up?
GPT-3.5 Turbo:
Reasoning: If the original diameter is 3 feet, then twice the size would be 3 * 2 = <<3*2=6>>6 feet. ### Answer: 6 feet.
Expected answer: 6
Correct? Yes
Problem: Suppose the original size of the beach ball was actually 5 feet in diameter, not 3 feet as previously stated. If it is still being blown up to be twice its original size, what will be the diameter of the beach ball after it is blown up now?
GPT-3.5 Turbo:
Reasoning: If the original diameter is 5 feet, then twice the size would be 5 * 2 = <<5*2=10>>10 feet. ### Answer: 10 feet.
Expected answer: 10
Correct? Yes
Problem: A farmer has a total of 24 tomatoes. He wants to equally divide them into 4 boxes. How many tomatoes will there be in each box?
GPT-3.5 Turbo:
Reasoning: To find out how many tomatoes will be in each box, we divide the total number of tomatoes by the number of boxes: 24 tomatoes / 4 boxes = <<24/4=6>>6 tomatoes in each box. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: The farmer then decides to combine all the tomatoes from the 4 boxes back into one large container. How many tomatoes will there be in the large container?
GPT-3.5 Turbo:
Reasoning: Since there are 6 tomatoes in each of the 4 boxes, the total number of tomatoes in the large container will be 6 tomatoes/box * 4 boxes = <<6*4=24>>24 tomatoes. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: In a different scenario, if the farmer had decided to equally divide the 24 tomatoes between only 2 boxes instead of 4, how many tomatoes would have been in each box then?
GPT-3.5 Turbo:
Reasoning: If the farmer decided to divide the 24 tomatoes between 2 boxes, we would divide the total number of tomatoes by the number of boxes: 24 tomatoes / 2 boxes = <<24/2=12>>12 tomatoes in each box. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: John wants to go out playing with his scooter. He travels a certain distance "B" which he calculates as half of 16. When he gets tired, he multiplies the distance "B" he traveled with 6 to find out the total distance "X" he traveled back and forth in his playing area. What is the total distance "X" he traveled?
GPT-3.5 Turbo:
Reasoning: John calculates half of 16 as 16/2 = <<16/2=8>>8. John then multiplies the distance "B" by 6 to find the total distance "X" traveled, which is 8*6 = <<8*6=48>>48. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In the previous situation, John multiplied the distance he traveled with 6. But this time, he decides to ride his scooter for a bit longer. Instead of multiplying by 6, he now multiplies the same initial half of 16, distance "B", by 8 to find out the new total distance "X" he traveled back and forth. What is the new total distance "X" he traveled?
GPT-3.5 Turbo:
Reasoning: John initially traveled a distance "B" of 8. Now, he multiplies this distance "B" by 8 to find the new total distance "X" traveled, which is 8*8 = 64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Lisa has a favorite TV show that she likes to watch, which happens to be 8 minutes long per episode. If Lisa decides to watch 2 episodes back-to-back without any breaks, how long will she be watching her favorite TV show in total?
GPT-3.5 Turbo:
Reasoning: Lisa will be watching 8 minutes/episode x 2 episodes = <<8*2=16>>16 minutes in total. ### Answer: 16 minutes.
Expected answer: 16
Correct? Yes
Problem: Now, imagine Lisa spent 5 days over the course of a week doing the same routine of watching 2 episodes back-to-back of her favorite TV show, which is 8 minutes per episode. How long in total did she spend watching her TV show over those 5 days?
GPT-3.5 Turbo:
Reasoning: Lisa watches 2 episodes x 8 minutes/episode = <<2*8=16>>16 minutes per day. Over 5 days, Lisa spent 16 minutes/day x 5 days = <<16*5=80>>80 minutes watching her TV show. ### Answer: 80 minutes.
Expected answer: 80
Correct? Yes
Problem: In a twist, one day Lisa decided to watch a different TV show, which is 12 minutes long per episode. If she watches 2 episodes of this show back-to-back without any breaks, how long will she be watching this different TV show in total?
GPT-3.5 Turbo:
Reasoning: Lisa will be watching 12 minutes/episode x 2 episodes = <<12*2=24>>24 minutes in total. ### Answer: 24 minutes.
Expected answer: 24
Correct? Yes
Problem: Jane has 1 blanket and John has 3 times as many blankets as Jane. How many blankets does John have?
GPT-3.5 Turbo:
Reasoning: John has 3 times as many blankets as Jane, so he has 3*1 = <<3*1=3>>3 blankets. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Consider the starting point of the previous problem where Jane had 1 blanket and John had 3 times as many blankets as Jane. Now, suppose that Jane initially has 6 blankets instead of 1. In this new scenario, how many blankets does John have initially?
GPT-3.5 Turbo:
Reasoning: If Jane initially has 6 blankets, then John, who has 3 times as many blankets as Jane, would have 3*6 = <<3*6=18>>18 blankets. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: John has $28 which he wants to divide equally among his 7 children. How many dollars will each child receive?
GPT-3.5 Turbo:
Reasoning: John will divide $28 among 7 children, so each child will receive $28/7 = $<<28/7=4>>4. ### Answer: $4.
Expected answer: 4
Correct? Yes
Problem: If John originally had $10 instead of $28, and he still wanted to divide it equally among his 7 children, how much would each child receive now?
GPT-3.5 Turbo:
Reasoning: If John originally had $10 to divide among 7 children, each child would receive $10/7 = $<<10/7=1.43>>1.43. ### Answer: $1.43.
Expected answer: 10/7
Correct? No
Problem: A tailor uses 2 meters of fabric to make one shirt. He uses double the fabric for the shirt's lining. If the tailor wants to make 5 shirts with lining, how many meters of fabric will he use for the lining?
GPT-3.5 Turbo:
Reasoning: The tailor uses 2 x 2 = <<2*2=4>>4 meters of fabric for the lining of one shirt. For 5 shirts with lining, the tailor will use 5 x 4 = <<5*4=20>>20 meters of fabric for the lining. ### Answer: 20.
Expected answer: 20
Correct? Yes
Problem: Kate owns a scooter shop. She sells 1 scooter every day. How many scooters will she sell after 8 days?
GPT-3.5 Turbo:
Reasoning: If Kate sells 1 scooter every day, after 8 days she will sell 1*8 = <<1*8=8>>8 scooters. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Continuing from the previous situation, after selling 1 scooter a day for 8 days, Kate decides to hold a grand sale for 8 more days where she sells the same number of scooters she sold in the previous 8 days every day. How many additional scooters will she sell during this grand sale?
GPT-3.5 Turbo:
Reasoning: During the grand sale, Kate will sell the same number of scooters she sold in the previous 8 days, which is 8 scooters. Therefore, during the grand sale, Kate will sell an additional 8 scooters. ### Answer: 8
Expected answer: 64
Correct? No
Problem: Let's revise the original situation. Instead of selling 1 scooter a day, let's say Kate was actually selling 7 scooters a day for 8 days. How many scooters did she sell in this period?
GPT-3.5 Turbo:
Reasoning: If Kate sells 7 scooters every day for 8 days, she will sell 7*8 = <<7*8=56>>56 scooters in this period. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: In a forest, one tree produces 10 seeds each year. How many seeds does the tree produce in 1 year?
GPT-3.5 Turbo:
Reasoning: One tree produces 10 seeds each year. Therefore, the tree produces 10 seeds in 1 year. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Now imagine that the tree actually produces 12 seeds each year instead of 10. How many seeds does the tree produce in 1 year?
GPT-3.5 Turbo:
Reasoning: If the tree produces 12 seeds each year, then the tree produces 12 seeds in 1 year. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: The sun shines 12 hours in a day and a scientist wants to divide it into 6 equal parts for an experiment. How many hours are there in each part?
GPT-3.5 Turbo:
Reasoning: To divide 12 hours into 6 equal parts, we need to divide 12 by 6. Each part will have 12/6 = <<12/6=2>>2 hours. ### Answer: 2 hours.
Expected answer: 2
Correct? Yes
Problem: A group of 12 friends decided to split into smaller groups to play a board game. If they want to have exactly 3 friends in each group, how many groups will there be?
GPT-3.5 Turbo:
Reasoning: To find the number of groups, we need to divide the total number of friends by the number of friends in each group. Number of groups = Total number of friends / Number of friends in each group Number of groups = 12 / 3 = 4 There will be 4 groups in total. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following the same scenario where the friends were divided into groups, if each group decided to buy 7 pizzas, how many pizzas would be bought in total?
GPT-3.5 Turbo:
Reasoning: Since there are 4 groups and each group buys 7 pizzas, we can find the total number of pizzas by multiplying the number of groups by the number of pizzas each group buys. Total number of pizzas = Number of groups * Number of pizzas per group Total number of pizzas = 4 * 7 = 28 In total, 28 pizzas would be bought. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Continuing from our previous scenario, let's say that instead of having 12 friends, there were actually only 6 friends to begin with. If they still want to divide themselves into groups with 3 friends each, how many group will there be?
GPT-3.5 Turbo:
Reasoning: Similar to the previous scenario, we need to divide the total number of friends by the number of friends in each group to find the number of groups. Number of groups = Total number of friends / Number of friends in each group Number of groups = 6 / 3 = 2 There will be 2 groups in total. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Emma and her friends are building sandcastles on the beach. Each sandcastle uses 6 buckets of sand, and they build 4 sandcastles. Each bucket of sand has 3 shovels full of sand in it. How many shovels of sand do they use in total?
GPT-3.5 Turbo:
Reasoning: Each sandcastle uses 6 buckets * 3 shovels = <<6*3=18>>18 shovels of sand. They build 4 sandcastles, so they use 18 shovels * 4 = <<18*4=72>>72 shovels of sand in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Continuing from the previous situation, Emma and her friends decide to make their sandcastles stronger. They pour a layer of seawater on each shovel used in their sandcastles. If each shovel full of sand requires 1 bottle of seawater, how many bottles of seawater will they need in total?
GPT-3.5 Turbo:
Reasoning: Since they used 72 shovels of sand, they will need 72 bottles of seawater. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Following the previous situation with Emma and her friends building sandcastles, imagine that they had originally started with 5 sandcastles instead of 6. Each of these 5 sandcastles still uses 4 buckets of sand and each of these buckets contains 3 shovels of sand. How many shovels of sand would they have used then?
GPT-3.5 Turbo:
Reasoning: Each sandcastle uses 4 buckets * 3 shovels = <<4*3=12>>12 shovels of sand. If they had originally started with 5 sandcastles, they would have used 12 shovels * 5 = <<12*5=60>>60 shovels of sand in total. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Jenna is making bracelets for her friends. Each bracelet requires 12 beads and she has a total of 8 bracelets to make. How many beads will Jenna need in total?
GPT-3.5 Turbo:
Reasoning: Jenna needs 12 beads per bracelet and she has 8 bracelets to make. Total beads needed = 12 beads/bracelet * 8 bracelets = 96 beads. ### Answer: 96 beads.
Expected answer: 96
Correct? Yes
Problem: After reconsidering, Jenna decided to only make 7 bracelets instead of 8. Now, how many beads will Jenna need to make the bracelets?
GPT-3.5 Turbo:
Reasoning: Jenna needs 12 beads per bracelet and she now has 7 bracelets to make. Total beads needed = 12 beads/bracelet * 7 bracelets = 84 beads. ### Answer: 84 beads.
Expected answer: 84
Correct? Yes
Problem: Penny has 66 milliliters of toothpaste in a new tube. If she uses 11 milliliters for each brushing, how many times can she brush her teeth with the new tube of toothpaste?
GPT-3.5 Turbo:
Reasoning: Penny can brush her teeth 66/11 = <<66/11=6>>6 times with the new tube of toothpaste. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: If Penny started using 9 milliliters of toothpaste for each brushing instead of 11, how many times could she brush her teeth with the new tube of toothpaste?
GPT-3.5 Turbo:
Reasoning: If Penny uses 9 milliliters for each brushing, she can brush her teeth 66/9 = <<66/9=7.33>>7.33 times. Since she cannot brush her teeth a fraction of a time, she can brush her teeth 7 times with the new tube of toothpaste. ### Answer: 7
Expected answer: 22/3
Correct? No
Problem: Vanessa has 4 bunches of grapes and each bunch has 11 grapes. How many grapes does Vanessa have in total?
GPT-3.5 Turbo:
Reasoning: Vanessa has 4 bunches * 11 grapes = <<4*11=44>>44 grapes in total. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: If Vanessa only had 4 bunches of grapes and each bunch had 5 grapes instead of 11, how many grapes would Vanessa have in total then?
GPT-3.5 Turbo:
Reasoning: If each bunch has 5 grapes, then Vanessa would have 4 bunches * 5 grapes = <<4*5=20>>20 grapes in total. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Mary has a length of fabric measuring 6 yards. She needs 6 yards of fabric to make a skirt. How many skirts can she make with the fabric she has?
GPT-3.5 Turbo:
Reasoning: Mary can make 6/6 = <<6/6=1>>1 skirt with the fabric she has. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Mary used her 6 yards of fabric to make a skirt. Each skirt she makes, requires 6 yards of fabric. She decides to make as many skirts as skirts she already made (i.e., she wants to multiply the number of skirts by the number of skirts she already made). How many skirts will Mary have made in total?
GPT-3.5 Turbo:
Reasoning: Since Mary has already made 1 skirt, and she wants to make as many skirts as she already made, she will make 1*1 = <<1*1=1>>1 skirt in total. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Mary now has a new length of fabric that's 7 yards long. Keeping in mind that each skirt requires 6 yards of fabric, how many skirts can Mary make with the new fabric she has?
GPT-3.5 Turbo:
Reasoning: Mary can make 7/6 = <<7/6=1.1666666666666667>>1.17 skirts with the new fabric she has. Since she cannot make a fraction of a skirt, Mary can make 1 skirt with the new fabric. ### Answer: 1
Expected answer: 7/6
Correct? No
Problem: Jordan has 9 card packs and each pack contains 1 card. If he decides to double the total number of his cards, how many cards will Jordan have then?
GPT-3.5 Turbo:
Reasoning: Jordan currently has 9 card packs * 1 card per pack = <<9*1=9>>9 cards. If he doubles the total number of his cards, he will have 9 cards * 2 = <<9*2=18>>18 cards. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Following up from the previous question, if Jordan decides to again double the total number of cards he has, how many cards will Jordan end up with at that point?
GPT-3.5 Turbo:
Reasoning: If Jordan doubles the total number of cards he has again, he will have 18 cards * 2 = <<18*2=36>>36 cards. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Following up from the previous question, if originally Jordan had 5 card packs instead of 9, and he still decided to double the total number of his cards, how many cards would Jordan have then?
GPT-3.5 Turbo:
Reasoning: If Jordan originally had 5 card packs, he would have 5 card packs * 1 card per pack = <<5*1=5>>5 cards. If he doubles the total number of his cards, he will have 5 cards * 2 = <<5*2=10>>10 cards. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A wizard casts a magic spell that lasts 60 minutes. However, his wizard staff can only channel the spell for 6 equal periods of time before it needs a 1-minute break to recharge. How long is each period of the spell?
GPT-3.5 Turbo:
Reasoning: The total duration of the spell is 60 minutes, and the wizard staff can channel the spell for 6 periods before needing a break. Therefore, each period of the spell is 60/6 = <<60/6=10>>10 minutes. ### Answer: 10 minutes.
Expected answer: 10
Correct? Yes
Problem: In the magical world, a donezal is a unit of time equal to 10 wizard staff channeling periods. If every wizard staff channeling period lasts as long as the spell in the previous problem, how much time does one donezal represent?
GPT-3.5 Turbo:
Reasoning: Since each wizard staff channeling period lasts 10 minutes, and a donezal is equal to 10 wizard staff channeling periods, one donezal represents 10 * 10 = <<10*10=100>>100 minutes. ### Answer: 100 minutes.
Expected answer: 100
Correct? Yes
Problem: In a new experiment, the wizard decided to divide the same 60-minute spell into only 4 equal periods before the wizard staff needs to take a break. How long does each period of casting last now?
GPT-3.5 Turbo:
Reasoning: If the wizard divides the 60-minute spell into 4 equal periods, each period will last 60/4 = <<60/4=15>>15 minutes. ### Answer: 15 minutes.
Expected answer: 15
Correct? Yes
Problem: A drummer hits his drum 11 times per minute. How many times does he hit the drum in 8 minutes?
GPT-3.5 Turbo:
Reasoning: In 8 minutes, the drummer hits the drum 11 times per minute, so he hits the drum 11*8 = <<11*8=88>>88 times in 8 minutes. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: In the previous problem, the drummer was hitting his drum 11 times per minute. But what if his rhythm slows down and he now hits the drum only 2 times per minute. How many times will he hit the drum in 8 minutes then?
GPT-3.5 Turbo:
Reasoning: If the drummer hits the drum 2 times per minute, then in 8 minutes he will hit the drum 2*8 = <<2*8=16>>16 times. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: John is packing for a trip and realizes that for each pair of pants, he needs 2 pairs of socks. If he plans to bring 22 pairs of socks, how many pairs of pants should he pack?
GPT-3.5 Turbo:
Reasoning: Since John needs 2 pairs of socks for each pair of pants, he should pack 22/2 = <<22/2=11>>11 pairs of pants. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Now, John is reconsidering his packing strategy. Instead of packing two pairs of socks per pair of pants, he thinks he only needs to pack two socks for every pair of pants. If he sticks to this new strategy, how many pairs of pants should he pack for his 4 pairs of socks?
GPT-3.5 Turbo:
Reasoning: If John only needs to pack 2 socks for every pair of pants, then he should pack 4/2 = <<4/2=2>>2 pairs of pants. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: If a pack of pens contains 8 pens and John has 5 packs, how many pens does he have in total?
GPT-3.5 Turbo:
Reasoning: John has 8 pens/pack * 5 packs = <<8*5=40>>40 pens in total. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: If, instead of 8 pens per pack, there were 6 pens per pack, how many pens would John have in total with his 5 packs?
GPT-3.5 Turbo:
Reasoning: If each pack contains 6 pens, then John would have 6 pens/pack * 5 packs = <<6*5=30>>30 pens in total. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Captain Blackbeard's pirate ship sailed for 60 hours and he divided the total hours equally among the 6 shifts. If each guard is expected to protect the ship for one shift, how many hours will one guard have to protect the ship?
GPT-3.5 Turbo:
Reasoning: If the total hours sailed is 60 and there are 6 shifts, then each shift is 60/6 = <<60/6=10>>10 hours. Each guard will have to protect the ship for 10 hours. ### Answer: 10 hours.
Expected answer: 10
Correct? Yes
Problem: Suppose there are more guards available and Captain Blackbeard decided to split the total time into 12 shifts instead of 6. How many hours will each guard now have to protect the ship under this new arrangement?
GPT-3.5 Turbo:
Reasoning: If the total hours sailed is 60 and there are 12 shifts now, then each shift is 60/12 = <<60/12=5>>5 hours. Each guard will have to protect the ship for 5 hours under this new arrangement. ### Answer: 5 hours.
Expected answer: 5
Correct? Yes
Problem: John needs a rope. Every meter of the rope costs $5. If John needs a 6-meter long rope, how much will it cost him?
GPT-3.5 Turbo:
Reasoning: John needs a 6-meter long rope, so the total cost will be 6 meters * $5/meter = $<<6*5=30>>30. ### Answer: $30.
Expected answer: 30
Correct? Yes
Problem: Going further from the previous problem, John now realizes he needs twice as much rope! How much will it cost him to buy 12 meters of rope in all?
GPT-3.5 Turbo:
Reasoning: If John needs 12 meters of rope and each meter costs $5, then the total cost will be 12 meters * $5/meter = $<<12*5=60>>60. ### Answer: $60.
Expected answer: 60
Correct? Yes
Problem: After considering his needs again, John realized that he actually needs 7 meters of rope, not 6. How much will it cost him to buy this new length of rope?
GPT-3.5 Turbo:
Reasoning: John needs a 7-meter long rope, so the total cost will be 7 meters * $5/meter = $<<7*5=35>>35. ### Answer: $35.
Expected answer: 35
Correct? Yes
Problem: Amelia has 42 gifts to distribute equally among her 7 best friends. How many gifts will each friend receive?
GPT-3.5 Turbo:
Reasoning: To find out how many gifts each friend will receive, we need to divide the total number of gifts by the number of friends. So, 42 gifts รท 7 friends = <<42/7=6>>6 gifts per friend. ### Answer: Each friend will receive 6 gifts.
Expected answer: 6
Correct? Yes
Problem: In the previous scenario, Amelia was distributing gifts among 7 of her friends. But what if Amelia instead planned to distribute her 42 gifts equally among only 6 friends instead? How many gifts would each friend receive in this case?
GPT-3.5 Turbo:
Reasoning: If Amelia has 42 gifts and she wants to distribute them equally among 6 friends, she would need to divide the total number of gifts by the number of friends. So, 42 gifts รท 6 friends = <<42/6=7>>7 gifts per friend. ### Answer: Each friend would receive 7 gifts.
Expected answer: 7
Correct? Yes
Problem: A mother bear has 40 honey pots and she wants to evenly distribute them among her 8 cubs. How many honey pots will each cub receive?
GPT-3.5 Turbo:
Reasoning: To find out how many honey pots each cub will receive, we need to divide the total number of honey pots by the number of cubs. Each cub will receive 40/8 = <<40/8=5>>5 honey pots. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: If the mother bear had only 40 honey pots and wanted to evenly distribute them among her 10 cubs instead, how many honey pots would each cub receive now?
GPT-3.5 Turbo:
Reasoning: If the mother bear has 40 honey pots and wants to distribute them among 10 cubs, we need to divide the total number of honey pots by the number of cubs. Each cub will receive 40/10 = <<40/10=4>>4 honey pots. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A penguin is diving into the sea. Initially, it took the penguin 28 seconds to reach a depth that is 4 times its own height. What is the square of the depth the penguin reaches in seconds?
GPT-3.5 Turbo:
Let the height of the penguin be \(h\) meters. The depth the penguin reaches is \(4h\) meters. Since the penguin takes 28 seconds to reach this depth, we can use the formula \(d = \frac{1}{2}gt^2\) where \(d\) is the depth, \(g\) is the acceleration due to gravity, and \(t\) is the time in seconds. Substitute \(d = 4h\), \(g = 9.8 \, \text{m/s}^2\), and \(t = 28\) into the formula to get \(4h = \frac{1}{2} \times 9.8 \times 28^2\). Solving for \(h\), we get \(h = \frac{1}{2} \times 9.8 \times 28^2 \div 4 = 1916\). The square of the depth the penguin reaches in seconds is \(4h)^2 = (4 \times 1916)^2 = 30656^2 = \boxed{939,393,536}\). ### Answer: 939,393,536.
Expected answer: 49
Correct? No
Problem: A swing goes back and forth 10 times every minute. How many back and forth swings will the swing accomplish in 9 minutes?
GPT-3.5 Turbo:
Reasoning: In 1 minute, the swing goes back and forth 10 times. In 9 minutes, the swing will go back and forth 10*9 = <<10*9=90>>90 times. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: An elephant can eat 7kg food per hour. How much food will an elephant eat in 4 hours?
GPT-3.5 Turbo:
Reasoning: In 4 hours, the elephant will eat 7kg/hour * 4 hours = <<7*4=28>>28kg of food. ### Answer: 28kg.
Expected answer: 28
Correct? Yes
Problem: In the previous situation, what if instead of eating 4kg of food per hour, the elephant ate only 3kg of food per hour? How much food would the elephant eat in 4 hours then?
GPT-3.5 Turbo:
Reasoning: If the elephant eats 3kg of food per hour, in 4 hours it will eat 3kg/hour * 4 hours = <<3*4=12>>12kg of food. ### Answer: 12kg.
Expected answer: 12
Correct? Yes
Problem: A dragon has 3 heads and each head has 8 eyes. How many eyes does the dragon have in total?
GPT-3.5 Turbo:
Reasoning: Since the dragon has 3 heads and each head has 8 eyes, the dragon has a total of 3 * 8 = <<3*8=24>>24 eyes. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: In addition to the 3-headed dragon, another dragon of the same kind joins it. Between the two dragons, how many eyes are there in total?
GPT-3.5 Turbo:
Reasoning: Since each dragon has 24 eyes, the total number of eyes between the two dragons is 24 + 24 = <<24+24=48>>48 eyes. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Suppose that each dragon instead had 11 eyes per head, not 8. How many eyes would one three-headed dragon have then?
GPT-3.5 Turbo:
Reasoning: If each dragon had 11 eyes per head, then one three-headed dragon would have 3 * 11 = <<3*11=33>>33 eyes. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: A candle burns out at a rate of 2 hours per inch. If a candle is 3 inches tall, how long will it take for the candle to burn out completely?
GPT-3.5 Turbo:
Reasoning: Since the candle burns out at a rate of 2 hours per inch, a 3-inch tall candle will take 3 * 2 = <<3*2=6>>6 hours to burn out completely. ### Answer: 6 hours.
Expected answer: 6
Correct? Yes
Problem: Charlie has 4 chocolates and decides to share half of them with his sister. Then he counts his remaining chocolates and decides to double the amount. How many chocolates does Charlie have now?
GPT-3.5 Turbo:
Reasoning: Charlie shares 4/2 = <<4/2=2>>2 chocolates with his sister. After sharing, Charlie has 4-2 = <<4-2=2>>2 chocolates left. Charlie doubles the amount, so he now has 2*2 = <<2*2=4>>4 chocolates. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following from the last problem, Charlie then takes the amount of chocolates he has and decides to multiply it by 9 for a birthday party. How many chocolates does Charlie have now?
GPT-3.5 Turbo:
Reasoning: Charlie has 4 chocolates. He multiplies this amount by 9, so he now has 4*9 = <<4*9=36>>36 chocolates. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Following from the previous problems, let's consider a new scenario. This time, suppose Charlie only had 2 chocolates and again decided to share half of them with his sister. Then, he counts his remaining chocolates and decides to double the amount. How many chocolates does Charlie have now in this scenario?
GPT-3.5 Turbo:
Reasoning: Charlie shares 2/2 = <<2/2=1>>1 chocolate with his sister. After sharing, Charlie has 2-1 = <<2-1=1>>1 chocolate left. Charlie doubles the amount, so he now has 1*2 = <<1*2=2>>2 chocolates. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A castle has 36 towers and there are an equal number of towers on each of its 6 walls. How many towers are there on each wall?
GPT-3.5 Turbo:
Reasoning: If there are 36 towers in total and an equal number of towers on each of the 6 walls, then there are 36/6 = <<36/6=6>>6 towers on each wall. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Suppose the number of walls in the castle was incorrectly counted before, and there are actually 10 walls instead of 6. If the castle still has a total of 36 towers, how many towers would be on each wall in that case?
GPT-3.5 Turbo:
Reasoning: If there are 36 towers in total and there are 10 walls, then there would be 36/10 = <<36/10=3.6>>3.6 towers on each wall. Since we cannot have a fraction of a tower, we would round down to the nearest whole number. Therefore, there would be 3 towers on each wall. ### Answer: 3
Expected answer: 18/5
Correct? No