MathCAMPS Logo

DeepSeek 67B on 3.OA.C.7

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.

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
For each 1 meter of sliding, Isaac gains 3 times the speed.
If Isaac slides down 1 meter, he gains 3 times the speed.
Therefore, Isaac gains 3 times the speed when he slides down 1 meter.
### Answer: 3 times the speed

Expected answer: 3

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
For each 1 meter of sliding, Isaac now gains 5 times the speed instead of 3 times the speed.
If Isaac slides down 1 meter, he gains 5 times the speed.
Therefore, Isaac gains 5 times the speed when he slides down 1 meter.
### Answer: 5 times the speed

Expected answer: 5

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
For every 9 brown bears, there are 11 times as many black bears.
If there are 9 brown bears, then there are 11*9 = <<11*9=99>>99 black bears.
### Answer: 99

Expected answer: 99

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
If there are 7 fish in the pond and each fish has 2 sides, then the total number of fish sides in the pond is 7*2 = <<7*2=14>>14.
### Answer: 14

Expected answer: 14

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The fuel needed for the rocket is the product of the mass of the rocket and 12.
The mass of the rocket is 8, so the fuel needed is 8*12 = <<8*12=96>>96.
### Answer: 96

Expected answer: 96

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The mass of the rocket is 8, and the fuel system requires 5 units of fuel per mass.
So, the fuel needed for the third rocket is 8*5 = <<8*5=40>>40.
### Answer: 40

Expected answer: 40

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Theresa planted 80/10 = <<80/10=8>>8 seeds in each plot.
Theresa used 8 seeds for the extra plot.
### Answer: 8

Expected answer: 8

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Theresa planted 8 seeds in each plot, so she should set aside 8*7 = <<8*7=56>>56 seeds for the gift bags.
### Answer: 56

Expected answer: 56

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Theresa planted 80/2 = <<80/2=40>>40 seeds in each plot.
Theresa used 40 seeds for the extra plot.
### Answer: 40

Expected answer: 40

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The question is asking how many yards of fabric are needed to make 1 section of the dress.
Since 1 yard of fabric is needed for 1 section, the answer is 1 yard.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The question is asking how many yards of fabric are needed to make 1 section of the dress, given that each section now requires 6 yards of fabric.
Since 6 yards of fabric are needed for 1 section, the answer is 6 yards.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The magical spell triples the number of treasure chests, so 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

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If the magical spell had only doubled the number of treasure chests, 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

๐Ÿ”— Problem

Problem: If a baby giraffe grows by 4 feet every year, how tall would the giraffe be after 11 years?

DeepSeek 67B:

Reasoning: The giraffe grows by 4 feet every year, so after 11 years, it would have grown by 4*11 = <<4*11=44>>44 feet.
The giraffe would be 44 feet tall after 11 years.
### Answer: 44

Expected answer: 44

Correct? Yes

๐Ÿ”— Follow-up

Problem: If instead the baby giraffe grows by 4 feet every year, how tall would the giraffe be after 7 years?

DeepSeek 67B:

Reasoning: The giraffe grows by 4 feet every year, so after 7 years, it would have grown by 4*7 = <<4*7=28>>28 feet.
The giraffe would be 28 feet tall after 7 years.
### Answer: 28

Expected answer: 28

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Pete has 4 pieces of rope, and each piece is 8 feet long.
So, Pete has 4*8 = <<4*8=32>>32 feet of rope in total.
### Answer: 32

Expected answer: 32

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Pete has 4 pieces of rope, and each piece is 8 feet long.
So, Pete has 4*8 = <<4*8=32>>32 feet of rope in total.
### Answer: 32

Expected answer: 32

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Pete has 12 pieces of rope, and each piece is 8 feet long.
So, Pete has 12*8 = <<12*8=96>>96 feet of rope in total.
### Answer: 96

Expected answer: 96

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
If there are 81 starfish and they are equally distributed in 9 tanks, then we can divide the total number of starfish by the number of tanks to find out how many starfish will be placed in each tank.
81/9 = <<81/9=9>>9
So, there will be 9 starfish placed in each tank.
### Answer: 9

Expected answer: 9

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If there are 12 starfish and they are equally distributed in 9 tanks, then we can divide the total number of starfish by the number of tanks to find out how many starfish will be placed in each tank.
12/9 = <<12/9=1.3333333333333333>>1.3333333333333333
Since we can't have a fraction of a starfish, we would need to round down to the nearest whole number.
So, there would be 1 starfish placed in each tank.
### Answer: 1

Expected answer: 4/3

Correct? No

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Lisa found 1 toy on the first day.
On the second day, she will find 1*2 = <<1*2=2>>2 toys.
### Answer: 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Lisa found 2 toys on the second day.
The square of the number of toys she found on the second day is 2*2 = <<2*2=4>>4 toys.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Lisa found 1 toy on the first day.
On the second day, she will find 1*10 = <<1*10=10>>10 toys.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The robot's processing speed is 11 microseconds, but it needs to be divided by 11 to match the system's speed.
So, the robot's processing speed to match the system's speed is 11/11 = 1 microsecond.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The robot's processing speed to match the system's speed is 1 microsecond.
To calculate the robot's efficiency rate, we need to multiply this new processing speed by itself.
So, the robot's efficiency rate is 1 * 1 = 1.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The robot's processing speed is 12 microseconds, but it needs to be divided by 11 to match the system's speed.
So, the robot's processing speed to match the system's speed is 12/11 = 1.0909090909090909 microseconds.
### Answer: 1.0909090909090909

Expected answer: 12/11

Correct? Yes

๐Ÿ”— Problem

Problem: Each tomato seed will produce 3 tomatoes. If Nina plants 6 tomato seeds, how many tomatoes will she produce in total?

DeepSeek 67B:

Reasoning: Nina plants 6 tomato seeds, and each seed produces 3 tomatoes, so she will produce 6*3 = <<6*3=18>>18 tomatoes in total.
### Answer: 18

Expected answer: 18

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Each tomato produces 3 new seeds, and Nina grows 18 tomatoes, so she will have 18*3 = <<18*3=54>>54 new seeds.
Nina could potentially grow 54 new tomato plants.
### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The alien can transmit 11 words per minute.
After 1 minute, the alien will be able to transmit 11 words.
### Answer: 11

Expected answer: 11

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The alien can transmit 11 words per minute for each word they know.
The alien now knows 2 words, so they can transmit 11 x 2 = <<11*2=22>>22 transmissions per minute.
After 1 minute, the alien will be able to make 22 transmissions.
### Answer: 22

Expected answer: 22

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The alien can transmit 3 words per minute.
After 1 minute, the alien will be able to transmit 3 words.
### Answer: 3

Expected answer: 3

Correct? Yes

๐Ÿ”— Problem

Problem: A unicorn travels 35 miles over 7 hours. How many miles does the unicorn travel in one hour?

DeepSeek 67B:

Reasoning: The unicorn travels 35 miles over 7 hours, so it travels 35/7 = <<35/7=5>>5 miles in one hour.
### Answer: 5

Expected answer: 5

Correct? Yes

๐Ÿ”— Follow-up

Problem: If the unicorn maintains the same speed, how many miles would it travel in 3 hours?

DeepSeek 67B:

Reasoning: The unicorn travels 5 miles in one hour, so it would travel 5*3 = <<5*3=15>>15 miles in 3 hours.
### Answer: 15

Expected answer: 15

Correct? Yes

๐Ÿ”— Follow-up

Problem: If instead the unicorn traveled 35 miles in 2 hours, how many miles would the unicorn travel in one hour?

DeepSeek 67B:

Reasoning: The unicorn travels 35 miles in 2 hours, so it travels 35/2 = <<35/2=17.5>>17.5 miles in one hour.
### Answer: 17.5

Expected answer: 35/2

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
If Green Gauntlet's strength is multiplied by a factor of 3, then his strength becomes 3 times his original strength.
If Jetstream has 5 times the strength of Green Gauntlet, then Jetstream's strength is 5 times Green Gauntlet's original strength.
Let's denote Green Gauntlet's original strength as x.
Then, Green Gauntlet's strength after multiplying by a factor of 3 is 3x.
Jetstream's strength is 5 times Green Gauntlet's original strength, so Jetstream's strength is 5x.
Therefore, the strength of Jetstream is 5x.
### Answer: 5x

Expected answer: 15

Correct? No

๐Ÿ”— Problem

Problem: Jason is stringing beads onto a necklace. If each necklace requires 6 beads, how many beads will be needed to make 1 necklace?

DeepSeek 67B:

Reasoning:
Each necklace requires 6 beads.
To make 1 necklace, Jason will need 6 beads.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
Each necklace requires 6 beads.
To make 3 necklaces, Jason will need 3 * 6 = <<3*6=18>>18 beads in total.
### Answer: 18

Expected answer: 18

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
Jason's original design required 6 beads.
The new design requires 8 times as many beads as the original design.
So, for the new design, Jason would need 6 * 8 = <<6*8=48>>48 beads.
### Answer: 48

Expected answer: 48

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The puzzle box indicates that you need to multiply 2 by 3 to unlock it.
So, the unlock code for the puzzle box is 2*3 = <<2*3=6>>6.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The previous code obtained by multiplying 2 by 3 is 6.
The new challenge tells you to multiply the previous code by 12 to get the final secret code.
So, the final code is 6*12 = <<6*12=72>>72.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The new puzzle instructs you to multiply 2 by 7.
So, the number you will get by following this new instruction is 2*7 = <<2*7=14>>14.
### Answer: 14

Expected answer: 14

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Peter has 6 wallets and in each wallet, he has 9 dollars.
So, the total amount of money in all the wallets is 6*9 = <<6*9=54>>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

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Peter has 54 dollars in the wallet.
If he puts all of the money from the wallet into a piggy bank, there will be 54 dollars in the piggy bank.
### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If Peter originally had 12 dollars in each of the 6 wallets, then the total amount of money in all the wallets is 6*12 = <<6*12=72>>72 dollars.
If Peter stacks all the money in one wallet, there will be 72 dollars in that wallet.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Problem

Problem: A butterfly flaps its wings 9 times in one second. How many times does it flap its wings in 11 seconds?

DeepSeek 67B:

Reasoning: The butterfly flaps its wings 9 times in one second.
So, in 11 seconds, it will flap its wings 9*11 = <<9*11=99>>99 times.
### Answer: 99

Expected answer: 99

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The butterfly flaps its wings 9 times in one second.
So, in 4 seconds, it will flap its wings 9*4 = <<9*4=36>>36 times.
### Answer: 36

Expected answer: 36

Correct? Yes

๐Ÿ”— Problem

Problem: A plane travels at a constant speed of 12 miles per minute. How many miles would the plane cover in 6 minutes?

DeepSeek 67B:

Reasoning: The plane travels at a constant speed of 12 miles per minute.
In 6 minutes, the plane would cover 12*6 = <<12*6=72>>72 miles.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The plane travels at a constant speed of 11 miles per minute.
In 6 minutes, the plane would cover 11*6 = <<11*6=66>>66 miles.
### Answer: 66

Expected answer: 66

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
Josephine has 27 pairs of ice skates and wants to divide them equally among 9 stores.
To find out how many pairs of ice skates each store will receive, we need to divide the total number of pairs by the number of stores.
So, 27 pairs of ice skates / 9 stores = 3 pairs of ice skates per store.
Therefore, each store will receive 3 pairs of ice skates.
### Answer: 3

Expected answer: 3

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
Josephine originally had 9 pairs of ice skates and wants to divide them equally among 9 stores.
To find out how many pairs of ice skates each store will receive, we need to divide the total number of pairs by the number of stores.
So, 9 pairs of ice skates / 9 stores = 1 pair of ice skates per store.
Therefore, each store will receive 1 pair of ice skates.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
If a factory produces 7 bars of soap every hour, then in 11 hours it will produce 7*11 = <<7*11=77>>77 bars of soap.
### Answer: 77

Expected answer: 77

Correct? Yes

๐Ÿ”— Problem

Problem: Billy has 9 sets of kite with each set containing 3 kites. How many kites does he have in total?

DeepSeek 67B:

Reasoning: Billy has 9 sets of kites, and each set contains 3 kites.
So, Billy has 9 x 3 = <<9*3=27>>27 kites in total.
### Answer: 27

Expected answer: 27

Correct? Yes

๐Ÿ”— Follow-up

Problem: Billy decides to double his collection of kites. After doubling the initial amount, how many kites will he have in total?

DeepSeek 67B:

Reasoning: Billy initially has 27 kites.
If he doubles his collection, he will have 27 x 2 = <<27*2=54>>54 kites in total.
### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Billy initially thought he had 9 sets of kites, but he actually had 11 sets.
So, Billy has 11 x 9 = <<11*9=99>>99 kites in total.
### Answer: 99

Expected answer: 99

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: If the magical creature multiplies a number by itself, it is performing the square operation.
The square of 4 is 4*4 = <<4*4=16>>16.
### Answer: 16

Expected answer: 16

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The magical creature took the outcome from her previous spell, which was 16, and multiplied it by 5.
The new number after this spell is 16*5 = <<16*5=80>>80.
### Answer: 80

Expected answer: 80

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If the magical creature had started with the number 11 and multiplied it by 4, it would have performed the multiplication operation.
The product of 11 and 4 is 11*4 = <<11*4=44>>44.
### Answer: 44

Expected answer: 44

Correct? Yes

๐Ÿ”— Problem

Problem: There are 27 chairs and they need to be equally distributed among 3 rooms. How many chairs will each room have?

DeepSeek 67B:

Reasoning:
To find out how many chairs each room will have, we need to divide the total number of chairs by the number of rooms.

27 chairs / 3 rooms = 9 chairs per room

Each room will have 9 chairs.

Expected answer: 9

Correct? Yes

๐Ÿ”— Problem

Problem: A store stocks 56 toy cars uniformly over 8 shelves. How many toy cars are there per shelf?

DeepSeek 67B:

Reasoning:
To find out how many toy cars are there per shelf, we need to divide the total number of toy cars by the number of shelves.

Solution:
There are 56 toy cars in total and they are uniformly distributed over 8 shelves.
So, there are 56/8 = <<56/8=7>>7 toy cars per shelf.

Answer: 7

Expected answer: 7

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If the store decides to stock only one toy car per shelf, then the number of toy cars per shelf would be 1.

Solution:
There are 8 toy cars in total and they are uniformly distributed over 8 shelves.
So, there are 8/8 = <<8/8=1>>1 toy car per shelf.

Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
- Every pizza slice takes 6 minutes to cook.
- A full pizza has 3 slices.
- The restaurant wants to make 3 full pizzas.

First, we need to find out how many slices are in 3 full pizzas.
3 full pizzas * 3 slices per pizza = 9 slices

Now, we need to find out how long it takes to cook 9 slices.
9 slices * 6 minutes per slice = 54 minutes

So, it will take 54 minutes in total to cook 3 full pizzas.
### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
- The special pizza takes the same amount of time as the 3 pizzas combined.
- It takes 54 minutes to cook 3 full pizzas.

So, it will take 54 minutes to make the special pizza.
### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
- Every pizza slice takes 1 minute to cook.
- A full pizza has 3 slices.
- The restaurant wants to make 3 full pizzas.

First, we need to find out how many slices are in 3 full pizzas.
3 full pizzas * 3 slices per pizza = 9 slices

Now, we need to find out how long it takes to cook 9 slices.
9 slices * 1 minute per slice = 9 minutes

So, it will take 9 minutes in total to cook 3 full pizzas.
### Answer: 9

Expected answer: 9

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Arthur drives his car 7*4 = <<7*4=28>>28 hours over this period.
### Answer: 28

Expected answer: 28

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Arthur drives his car 2*4 = <<2*4=8>>8 hours over this period.
### Answer: 8

Expected answer: 8

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Each blanket requires 6*5 = <<6*5=30>>30 yards of yarn.
### Answer: 30

Expected answer: 30

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Each blanket requires 30 yards of yarn. So, for two blankets, you would need 30*2 = <<30*2=60>>60 yards of yarn.
### Answer: 60

Expected answer: 60

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Each blanket now requires 6*12 = <<6*12=72>>72 yards of yarn.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Problem

Problem: A bus travels at a speed of 7 miles per hour. How many miles will the bus travel after 6 hours?

DeepSeek 67B:

Reasoning: The bus travels at a speed of 7 miles per hour, so in 6 hours, it will travel 7*6 = <<7*6=42>>42 miles.
### Answer: 42

Expected answer: 42

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The bus travels at a speed of 10 miles per hour, so in 6 hours, it will travel 10*6 = <<10*6=60>>60 miles.
### Answer: 60

Expected answer: 60

Correct? Yes

๐Ÿ”— Problem

Problem: Superhero Starlight has a power level that is the product of multiplying 3 by 5. What is Starlight's power level?

DeepSeek 67B:

Reasoning: Starlight's power level is 3*5 = <<3*5=15>>15.
### Answer: 15

Expected answer: 15

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Starlight's initial power level was 3*5 = <<3*5=15>>15.
After the power-up training, her power level increased by three times, so her new power level is 15*3 = <<15*3=45>>45.
### Answer: 45

Expected answer: 45

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Starlight's initial power level would be 3*6 = <<3*6=18>>18.
### Answer: 18

Expected answer: 18

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The area of a square is calculated by multiplying the length of one side by itself.
So, the area of one side of Jessica's backpack is 10 inches * 10 inches = 100 square inches.
### Answer: 100

Expected answer: 100

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The area of a square is calculated by multiplying the length of one side by itself.
So, the area of one side of Jessica's second backpack is 4 inches * 4 inches = 16 square inches.
### Answer: 16

Expected answer: 16

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Captain Sparrow wants to divide 36 gold doubloons equally among 3 crew members.
Each crew member will get 36/3 = <<36/3=12>>12 gold doubloons.
### Answer: 12

Expected answer: 12

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Captain Sparrow wants to divide 36 gold doubloons equally among 7 crew members.
Each crew member will get 36/7 = <<36/7=5.142857142857143>>5.142857142857143 gold doubloons.
Since we can't have a fraction of a gold doubloon, we can round it to the nearest whole number.
Each crew member will get 5 gold doubloons.
### Answer: 5

Expected answer: 36/7

Correct? No

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The factory currently produces 5 robots each hour. If it increases its output to twice this amount, it will produce 5*2 = <<5*2=10>>10 robots each hour.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The factory currently produces 10 robots each hour. If it multiplies this new hourly output by the original amount they were making each hour (5 robots), it will produce 10*5 = <<10*5=50>>50 robots each hour.
### Answer: 50

Expected answer: 50

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The factory currently produces 5 robots each hour. If it increases its output to six times this amount, it will produce 5*6 = <<5*6=30>>30 robots each hour.
### Answer: 30

Expected answer: 30

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The height of the signpost is 9 times the radius of the bike wheel.
The radius of the bike wheel is 81/9 units.
So, the height of the signpost is 9 * (81/9) = 81 units.
### Answer: 81

Expected answer: 81

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The height of the bike rack is 6 times the radius of the bike wheel.
The radius of the bike wheel is 81/9 units.
So, the height of the bike rack is 6 * (81/9) = 48 units.
### Answer: 48

Expected answer: 54

Correct? No

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Jamie swung 11 times in every minute and he spent 1 minute swinging.
So, Jamie swung 11*1 = <<11*1=11>>11 times in total.
### Answer: 11

Expected answer: 11

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Jamie swung 11 times in every minute and he spent 3 more minutes swinging.
So, Jamie swung 11*3 = <<11*3=33>>33 times in total over those extra minutes.
### Answer: 33

Expected answer: 33

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Jamie swung 6 times per minute for one minute.
So, Jamie swung 6*1 = <<6*1=6>>6 times in that minute.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Problem

Problem: James has 9 robot toys and he buys the same amount again. How many robot toys does he have now?

DeepSeek 67B:

Reasoning: James has 9 robot toys and he buys the same amount again, so he now has 9+9 = <<9+9=18>>18 robot toys.
### Answer: 18

Expected answer: 18

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: James originally had 9 robot toys and he bought 5 more sets of 9 toys each, so he bought 5*9 = <<5*9=45>>45 more toys.
James now has 9+45 = <<9+45=54>>54 robot toys.
### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The total number of eggs laid by the chickens in a week is 11*7 = <<11*7=77>>77 eggs.
### Answer: 77

Expected answer: 77

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The farmer makes 77*1 = <<77*1=77>>77 dollars in a week by selling all the eggs.
### Answer: 77

Expected answer: 77

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The total number of eggs laid by the chickens in a week is 2*7 = <<2*7=14>>14 eggs.
### Answer: 14

Expected answer: 14

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The tree grows 4/2 = <<4/2=2>>2 centimeters overnight.
### Answer: 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The tree grows 4/2 = <<4/2=2>>2 centimeters overnight.
If this overnight height is multiplied by 10, the final growth of the tree over these 10 nights is 2*10 = <<2*10=20>>20 centimeters.
### Answer: 20

Expected answer: 20

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The tree now grows 10/2 = <<10/2=5>>5 centimeters overnight.
### Answer: 5

Expected answer: 5

Correct? Yes

๐Ÿ”— Problem

Problem: In a laboratory experiment, a group of 77 mice are divided equally among 11 cages. How many mice would be in each cage?

DeepSeek 67B:

Reasoning:
To find out how many mice would be in each cage, we need to divide the total number of mice by the number of cages.

77 mice / 11 cages = 7 mice per cage

So, there would be 7 mice in each cage.

### Answer: 7

Expected answer: 7

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The scientist originally had 77 mice, but some of them were counted twice. So, she divided the total number of mice by 2 to correct for this mistake.

77 / 2 = 38.5 mice

So, the scientist originally had 38.5 mice.

### Answer: 38.5

Expected answer: 77/2

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
Sally needs 35/5 = <<35/5=7>>7 beads to make one earring.
To make 8 earrings, she will need 7*8 = <<7*8=56>>56 beads in total.
### Answer: 56

Expected answer: 56

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
Sally needs 35/5 = <<35/5=7>>7 beads to make one earring.
To make 2 earrings, she will need 7*2 = <<7*2=14>>14 beads in total.
### Answer: 14

Expected answer: 14

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Brenda has 9 apples and wants to divide them equally amongst her 9 friends.
To find out how many apples each friend will get, we divide the total number of apples by the number of friends.
So, each friend will get 9/9 = <<9/9=1>>1 apple.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Brenda has 9 apples and wants to divide them evenly among her 2 closest friends.
To find out how many apples each friend will get, we divide the total number of apples by the number of friends.
So, each friend will get 9/2 = <<9/2=4.5>>4.5 apples.
Since we can't have half an apple, Brenda will need to adjust the number of apples given to each friend.
One option is to give each friend 4 apples and keep 1 apple for herself.
### Answer: 4

Expected answer: 9/2

Correct? No

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The tightrope is 10 feet off the ground, and it is five times the height above the ground.
So, the total height of the tightrope is 10 * 5 = <<10*5=50>>50 feet.
The stuntman needs to walk from one side of the tightrope to the other, which means he needs to walk the entire length of the tightrope.
The length of the tightrope is equal to its height, which is 50 feet.
Therefore, the stuntman needs to walk 50 feet to complete his stunt.
### Answer: 50

Expected answer: 50

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The tightrope is now 1 foot off the ground, and it is still five times the height above the ground.
So, the total height of the tightrope is 1 * 5 = <<1*5=5>>5 feet.
The tightrope walker needs to walk from one side of the tightrope to the other, which means he needs to walk the entire length of the tightrope.
The length of the tightrope is equal to its height, which is 5 feet.
Therefore, the tightrope walker needs to walk 5 feet to complete his stunt.
### Answer: 5

Expected answer: 5

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The length of one side of the square is 30/6 = <<30/6=5>>5.
The area of a square is calculated by multiplying the length of one side by itself.
So, the area of the square is 5*5 = <<5*5=25>>25.
### Answer: 25

Expected answer: 25

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The length of one side of the square is 30/6 = 5.
The area of the square is 5*5 = 25.
If we multiply the area by 3, the new value will be 25*3 = <<25*3=75>>75.
### Answer: 75

Expected answer: 75

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The length of one side of the new square is 12/6 = <<12/6=2>>2.
The area of a square is calculated by multiplying the length of one side by itself.
So, the area of the new square is 2*2 = <<2*2=4>>4.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Problem

Problem: A certain star emits 7 particles every second. If this continues for 8 seconds, how many particles does the star emit in total?

DeepSeek 67B:

Reasoning: The star emits 7 particles every second, so in 8 seconds, it will emit 7*8 = <<7*8=56>>56 particles.
### Answer: 56

Expected answer: 56

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The star emits 7 particles every second, so in 5 seconds, it will emit 7*5 = <<7*5=35>>35 particles.
### Answer: 35

Expected answer: 35

Correct? Yes

๐Ÿ”— Problem

Problem: A shoe factory can create 24 shoes in three hours. If the factory runs for five hours, how many shoes will be produced?

DeepSeek 67B:

Reasoning: The factory can create 24/3 = <<24/3=8>>8 shoes per hour.
If the factory runs for five hours, it will produce 8*5 = <<8*5=40>>40 shoes.
### Answer: 40

Expected answer: 40

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The factory can create 24/3 = <<24/3=8>>8 shoes per hour.
If the factory runs for ten hours, it will produce 8*10 = <<8*10=80>>80 shoes.
### Answer: 80

Expected answer: 80

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The butterfly species lives for 5 days in each month.
So, in a year, the butterfly species lives for 5*12 = <<5*12=60>>60 days.
### Answer: 60

Expected answer: 60

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The butterfly species lives for 5 days each week.
So, in a 7-week span, the butterfly species lives for 5*7 = <<5*7=35>>35 days.
### Answer: 35

Expected answer: 35

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
If one ordinary mushroom provides food for 10 fairies for a day, then a magic mushroom can provide food for 4 * 10 = <<4*10=40>>40 fairies for a day.
### Answer: 40

Expected answer: 40

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If one ordinary mushroom provides food for 11 fairies for a day, then a magic mushroom can provide food for 4 * 11 = <<4*11=44>>44 fairies for a day.
### Answer: 44

Expected answer: 44

Correct? Yes

๐Ÿ”— Problem

Problem: A river is flowing at a rate of 4 kilometers per hour. How far can the river flow in 10 hours?

DeepSeek 67B:

Reasoning: The river flows at a rate of 4 kilometers per hour, so in 10 hours it will flow 4*10 = <<4*10=40>>40 kilometers.
### Answer: 40

Expected answer: 40

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The river flows at a rate of 4 kilometers per hour, so in 2 hours it will flow 4*2 = <<4*2=8>>8 kilometers.
### Answer: 8

Expected answer: 8

Correct? Yes

๐Ÿ”— Problem

Problem: A slide is double the height of Ava who is 12 feet tall. How tall is the slide?

DeepSeek 67B:

Reasoning: The slide is double the height of Ava, so it is 12*2 = <<12*2=24>>24 feet tall.
### Answer: 24

Expected answer: 24

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The slide is currently double Ava's height, which is 12 feet. So, the slide is 12*2 = <<12*2=24>>24 feet tall.
If Ava triples the height of the slide, the new slide will be 24*3 = <<24*3=72>>72 feet tall.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The slide is double the height of Ava, so it is 11*2 = <<11*2=22>>22 feet tall.
### Answer: 22

Expected answer: 22

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The tap fills the tank at a rate of 2 liters per minute.
So, after 9 minutes, the tank will have 2*9 = <<2*9=18>>18 liters of water.
### Answer: 18

Expected answer: 18

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The tap fills the tank at a rate of 2 liters per minute.
So, after 7 minutes, the tank will have 2*7 = <<2*7=14>>14 liters of water.
### Answer: 14

Expected answer: 14

Correct? Yes

๐Ÿ”— Problem

Problem: Fred received 12 letters in one week and he reads them evenly over 3 days. How many letters does he read per day?

DeepSeek 67B:

Reasoning: Fred reads 12/3 = <<12/3=4>>4 letters per day.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Fred reads 11/3 = <<11/3=3.67>>3.67 letters per day.
### Answer: 3.67

Expected answer: 11/3

Correct? No

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The factory produces 8 cars every hour, and it runs for 12 hours a day.
So, the factory produces 8*12 = <<8*12=96>>96 cars in one day.
### Answer: 96

Expected answer: 96

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The factory now produces 5 cars every hour, and it runs for 12 hours a day.
So, the factory produces 5*12 = <<5*12=60>>60 cars in one day.
### Answer: 60

Expected answer: 60

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
If baby Lily got 44 toys divided evenly among her 4 cousins, each cousin would get 44/4 = <<44/4=11>>11 toys.
If we multiply 'i' by 5, we would get 11*5 = <<11*5=55>>55 toys.
### Answer: 55

Expected answer: 55

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If baby Lily got 44 toys divided evenly among her 11 friends, each friend would get 44/11 = <<44/11=4>>4 toys.
If we multiply 'i' by 5, we would get 4*5 = <<4*5=20>>20 toys.
### Answer: 20

Expected answer: 20

Correct? Yes

๐Ÿ”— Problem

Problem: Mike has $9 and he wants to divide it equally among his 3 children. How much money will each child recieve?

DeepSeek 67B:

Reasoning:
Mike has $9 and he wants to divide it equally among his 3 children.
To find out how much money each child will receive, we need to divide the total amount of money by the number of children.
So, each child will receive $9 / 3 = $3.
Therefore, each child will receive $3.
The answer is: 3

Expected answer: 3

Correct? Yes

๐Ÿ”— Problem

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.

DeepSeek 67B:

Reasoning:
If a cow produces 72 liters of milk in 12 days, then it produces 72/12 = <<72/12=6>>6 liters of milk in a day.
If the cow produces 6 liters of milk in a day, then it will produce 6*12 = <<6*12=72>>72 liters of milk in 12 days.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If a cow produces 72 liters of milk in 10 days, then it produces 72/10 = <<72/10=7.2>>7.2 liters of milk in a day.
If the cow produces 7.2 liters of milk in a day, then it will produce 7.2*12 = <<7.2*12=86.4>>86.4 liters of milk in 12 days.
### Answer: 86.4

Expected answer: 432/5

Correct? Yes

๐Ÿ”— Problem

Problem: On a map, 30 miles is represented as 10 inches. How many miles does 1 inch represent?

DeepSeek 67B:

Reasoning:
If 30 miles is represented as 10 inches, then 1 inch represents 30/10 = 3 miles.
### Answer: 3

Expected answer: 3

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If 30 miles is represented as 12 inches, then 1 inch represents 30/12 = 2.5 miles.
### Answer: 2.5

Expected answer: 5/2

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Each tire can carry a load of 8 tons, so the total load that all tires can carry is 8*8 = <<8*8=64>>64 tons.
### Answer: 64

Expected answer: 64

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

The total weight being carried by the truck would be the same as the total load that all tires can carry, which is 64 tons.
### Answer: 64

Expected answer: 64

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Each tire can carry a load of 3 tons, so the total load that all tires can carry is 3*8 = <<3*8=24>>24 tons.
### Answer: 24

Expected answer: 24

Correct? Yes

๐Ÿ”— Problem

Problem: If you have 4 fruits and each fruit provides 1 cup of juice, how many cups of juice can you get in total?

DeepSeek 67B:

Reasoning: If each fruit provides 1 cup of juice, then 4 fruits will provide 4 cups of juice.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Follow-up

Problem: If instead you started with just 1 fruit, how many cups of juice would you be able to make?

DeepSeek 67B:

Reasoning: If each fruit provides 1 cup of juice, then 1 fruit will provide 1 cup of juice.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Sara has 5 colors of colored pencils, and she has 5 of each type.
So, Sara has 5 x 5 = <<5*5=25>>25 colored pencils in total.
### Answer: 25

Expected answer: 25

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Sara had 25 colored pencils before duplicating her set.
After duplicating her set, she now has 25 x 2 = <<25*2=50>>50 colored pencils in total.
### Answer: 50

Expected answer: 50

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Sara has 11 of each type of colored pencil, and she has 5 colors.
So, Sara has 11 x 5 = <<11*5=55>>55 colored pencils in total.
### Answer: 55

Expected answer: 55

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: If each letter corresponds to 1 point in the game, then a 12-letter word will correspond to 12 points.
### Answer: 12

Expected answer: 12

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If you use the same 12-letter word in each round, and each letter corresponds to 1 point, then you will accumulate 12 points in each round.
If you play 8 rounds, then you will accumulate 12 points x 8 rounds = 96 points in total.
### Answer: 96

Expected answer: 96

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If each letter corresponds to 1 point in the game, then a 9-letter word will correspond to 9 points.
### Answer: 9

Expected answer: 9

Correct? Yes

๐Ÿ”— Problem

Problem: Jake has 7 crates, each containing 7 bottles of water. How many bottles of water does he have in total?

DeepSeek 67B:

Reasoning: Jake has 7 crates, each containing 7 bottles of water.
So, Jake has 7*7 = <<7*7=49>>49 bottles of water in total.
### Answer: 49

Expected answer: 49

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Jake still has 49 bottles of water, as he did not drink any of them.

Expected answer: 49

Correct? Yes

๐Ÿ”— Problem

Problem: A piano has 4 legs. If there are 2 pianos in the music room, how many legs are there in total?

DeepSeek 67B:

Reasoning: There are 2 pianos, so there are 2*4 = <<2*4=8>>8 legs in total.
### Answer: 8

Expected answer: 8

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: There are 2 pianos, so there are 2*3 = <<2*3=6>>6 legs in total.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Problem

Problem: A keyring holds 2 keys but each keyring must be split between two people. How many keys does each person get?

DeepSeek 67B:

Reasoning: Each keyring holds 2 keys, and each keyring must be split between two people.
So, each person gets 2/2 = <<2/2=1>>1 key.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following the previous scenario, if there are 11 keyrings in total, how many keys does each person get?

DeepSeek 67B:

Reasoning: There are 11 keyrings in total, and each keyring holds 2 keys.
So, there are a total of 11*2 = <<11*2=22>>22 keys.
Each keyring must be split between two people, so each person gets 22/2 = <<22/2=11>>11 keys.
### Answer: 11

Expected answer: 11

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Each keyring holds 3 keys, and each keyring must be split between two people.
So, each person gets 3/2 = <<3/2=1.5>>1.5 keys.
### Answer: 1.5

Expected answer: 3/2

Correct? Yes

๐Ÿ”— Problem

Problem: Javier has 9 crates of bottles. Each crate contains 6 bottles, how many bottles does Javier have?

DeepSeek 67B:

Reasoning: Javier has 9 crates * 6 bottles = <<9*6=54>>54 bottles.
### Answer: 54

Expected answer: 54

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Javier has 9 crates * 8 bottles = <<9*8=72>>72 bottles.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Problem

Problem: A shirt costs 10 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros?

DeepSeek 67B:

Reasoning: If 1 dollar equals 1 euro, then the cost of the shirt in euros is equal to the cost of the shirt in dollars.
The shirt costs 10 dollars, so it costs 10 euros.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If 1 euro equals 1 dollar, then the cost of the shirt in dollars is equal to the cost of the shirt in euros.
The shirt costs 10 euros, so it costs 10 dollars.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If 1 dollar equals 1 euro, then the cost of the shirt in euros is equal to the cost of the shirt in dollars.
The shirt now costs 9 dollars, so it costs 9 euros.
### Answer: 9

Expected answer: 9

Correct? Yes

๐Ÿ”— Problem

Problem: If a plant grows 12 flowers each month, how many flowers will it grow in 5 months?

DeepSeek 67B:

Reasoning: The plant grows 12 flowers each month, so in 5 months it will grow 12*5 = <<12*5=60>>60 flowers.
### Answer: 60

Expected answer: 60

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The original diameter of the beach ball is 3 feet.
When the beach ball is blown up to be twice its original size, its diameter will be 3*2 = <<3*2=6>>6 feet.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The original diameter of the beach ball is 5 feet.
When the beach ball is blown up to be twice its original size, its diameter will be 5*2 = <<5*2=10>>10 feet.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The farmer wants to divide 24 tomatoes into 4 boxes, so we need to find the quotient of 24 divided by 4.
24/4 = <<24/4=6>>6
There will be 6 tomatoes in each box.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The farmer had 24 tomatoes in total, and he divided them equally into 4 boxes. Since there were 6 tomatoes in each box, there will be 6*4 = <<6*4=24>>24 tomatoes in the large container.
### Answer: 24

Expected answer: 24

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The farmer wants to divide 24 tomatoes into 2 boxes, so we need to find the quotient of 24 divided by 2.
24/2 = <<24/2=12>>12
There would have been 12 tomatoes in each box.
### Answer: 12

Expected answer: 12

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
John traveled a distance "B" which is half of 16, so B = 16/2 = 8.
He then multiplied the distance "B" he traveled with 6 to find out the total distance "X" he traveled back and forth, so X = B * 6 = 8 * 6 = 48.
The total distance "X" he traveled is 48.
### Answer: 48

Expected answer: 48

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
John traveled a distance "B" which is half of 16, so B = 16/2 = 8.
He then multiplied the distance "B" he traveled with 8 to find out the new total distance "X" he traveled back and forth, so X = B * 8 = 8 * 8 = 64.
The new total distance "X" he traveled is 64.
### Answer: 64

Expected answer: 64

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Lisa will be watching her favorite TV show for 8*2 = <<8*2=16>>16 minutes in total.
### Answer: 16

Expected answer: 16

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Lisa spent 16*5 = <<16*5=80>>80 minutes watching her favorite TV show over the course of 5 days.
### Answer: 80

Expected answer: 80

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Lisa will be watching the different TV show for 12*2 = <<12*2=24>>24 minutes in total.
### Answer: 24

Expected answer: 24

Correct? Yes

๐Ÿ”— Problem

Problem: Jane has 1 blanket and John has 3 times as many blankets as Jane. How many blankets does John have?

DeepSeek 67B:

Reasoning: John has 3*1 = <<3*1=3>>3 blankets.
### Answer: 3

Expected answer: 3

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: John has 3*6 = <<3*6=18>>18 blankets.
### Answer: 18

Expected answer: 18

Correct? Yes

๐Ÿ”— Problem

Problem: John has $28 which he wants to divide equally among his 7 children. How many dollars will each child receive?

DeepSeek 67B:

Reasoning:
John has $28 and he wants to divide it equally among his 7 children.
To find out how many dollars each child will receive, we need to divide $28 by 7.
$28 ๏ฟฝ 7 = $4
Each child will receive $4.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
John originally had $10 and he wants to divide it equally among his 7 children.
To find out how many dollars each child will receive, we need to divide $10 by 7.
$10 ๏ฟฝ 7 = $1.43
Each child will receive $1.43.
### Answer: 1.43

Expected answer: 10/7

Correct? No

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The tailor uses 2 meters of fabric for the shirt and double the fabric for the lining.
So, he uses 2 x 2 = <<2*2=4>>4 meters of fabric for the lining of one shirt.
If he wants to make 5 shirts with lining, he will use 4 x 5 = <<4*5=20>>20 meters of fabric for the lining.
### Answer: 20

Expected answer: 20

Correct? Yes

๐Ÿ”— Problem

Problem: Kate owns a scooter shop. She sells 1 scooter every day. How many scooters will she sell after 8 days?

DeepSeek 67B:

Reasoning: Kate sells 1 scooter every day.
So, after 8 days, she will sell 1*8 = <<1*8=8>>8 scooters.
### Answer: 8

Expected answer: 8

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Kate sells the same number of scooters every day during the grand sale as she did in the previous 8 days.
So, during the grand sale, she will sell 1*8 = <<1*8=8>>8 scooters every day.
Since the grand sale lasts for 8 days, she will sell 8*8 = <<8*8=64>>64 additional scooters during the grand sale.
### Answer: 64

Expected answer: 64

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Kate sells 7 scooters every day.
So, after 8 days, she will sell 7*8 = <<7*8=56>>56 scooters.
### Answer: 56

Expected answer: 56

Correct? Yes

๐Ÿ”— Problem

Problem: In a forest, one tree produces 10 seeds each year. How many seeds does the tree produce in 1 year?

DeepSeek 67B:

Reasoning: The tree produces 10 seeds each year.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The tree produces 12 seeds each year.
### Answer: 12

Expected answer: 12

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The scientist wants to divide 12 hours into 6 equal parts.
To find the number of hours in each part, we divide 12 by 6.
12/6 = 2
Therefore, there are 2 hours in each part.
### Answer: 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The number of groups can be found by dividing the total number of friends by the number of friends in each group.
So, there will be 12/3 = <<12/3=4>>4 groups.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If there are 4 groups and each group buys 7 pizzas, then the total number of pizzas bought would be 4*7 = <<4*7=28>>28 pizzas.
### Answer: 28

Expected answer: 28

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The number of groups can be found by dividing the total number of friends by the number of friends in each group.
So, there will be 6/3 = <<6/3=2>>2 groups.
### Answer: 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Each sandcastle uses 6 buckets of sand, and they build 4 sandcastles, so they use 6*4 = <<6*4=24>>24 buckets of sand in total.
Each bucket of sand has 3 shovels full of sand in it, so they use 24*3 = <<24*3=72>>72 shovels of sand in total.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: They use 72 shovels of sand in total, and each shovel requires 1 bottle of seawater, so they will need 72*1 = <<72*1=72>>72 bottles of seawater in total.
### Answer: 72

Expected answer: 72

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Each sandcastle uses 4 buckets of sand, and they build 5 sandcastles, so they use 4*5 = <<4*5=20>>20 buckets of sand in total.
Each bucket of sand has 3 shovels full of sand in it, so they use 20*3 = <<20*3=60>>60 shovels of sand in total.
### Answer: 60

Expected answer: 60

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Jenna needs 12 beads for each bracelet and she has 8 bracelets to make.
Jenna will need 12 x 8 = <<12*8=96>>96 beads in total.
### Answer: 96

Expected answer: 96

Correct? Yes

๐Ÿ”— Follow-up

Problem: After reconsidering, Jenna decided to only make 7 bracelets instead of 8. Now, how many beads will Jenna need to make the bracelets?

DeepSeek 67B:

Reasoning: Jenna needs 12 beads for each bracelet and she has 7 bracelets to make.
Jenna will need 12 x 7 = <<12*7=84>>84 beads in total.
### Answer: 84

Expected answer: 84

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

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

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Penny can brush her teeth 66/9 = <<66/9=7.333333333333333>>7.33 times with the new tube of toothpaste.
### Answer: 7

Expected answer: 22/3

Correct? No

๐Ÿ”— Problem

Problem: Vanessa has 4 bunches of grapes and each bunch has 11 grapes. How many grapes does Vanessa have in total?

DeepSeek 67B:

Reasoning: Vanessa has 4*11 = <<4*11=44>>44 grapes in total.
### Answer: 44

Expected answer: 44

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Vanessa would have 4*5 = <<4*5=20>>20 grapes in total.
### Answer: 20

Expected answer: 20

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Mary has 6 yards of fabric and needs 6 yards to make a skirt.
Since she has enough fabric to make one skirt, she can make 1 skirt with the fabric she has.
### Answer: 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Mary used her 6 yards of fabric to make a skirt. She wants to make as many skirts as the number of skirts she already made.
Since she already made 1 skirt, she will make 1 more skirt.
So, Mary will have made a total of 1 + 1 = 2 skirts.
### Answer: 2

Expected answer: 1

Correct? No

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Mary has 7 yards of fabric and needs 6 yards to make a skirt.
Since she has enough fabric to make one skirt, she can make 1 skirt with the fabric she has.
### Answer: 1

Expected answer: 7/6

Correct? No

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Jordan has 9*1 = <<9*1=9>>9 cards.
If he doubles the total number of his cards, he will have 9*2 = <<9*2=18>>18 cards.
### Answer: 18

Expected answer: 18

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If Jordan doubles the total number of cards he has, he will have 18*2 = <<18*2=36>>36 cards.
### Answer: 36

Expected answer: 36

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: If Jordan had 5 card packs instead of 9, he would have 5*1 = <<5*1=5>>5 cards.
If he doubles the total number of his cards, he will have 5*2 = <<5*2=10>>10 cards.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The wizard's staff can channel the spell for 6 equal periods of time, and it needs a 1-minute break after each period. So, the total time for the spell, including breaks, is 60 minutes + 6 minutes = 66 minutes.

To find the length of each period, we divide the total time by the number of periods:

66 minutes / 6 periods = 11 minutes per period.

So, each period of the spell lasts 11 minutes.
### Answer: 11

Expected answer: 10

Correct? No

๐Ÿ”— Problem

Problem: A drummer hits his drum 11 times per minute. How many times does he hit the drum in 8 minutes?

DeepSeek 67B:

Reasoning: The drummer hits the drum 11*8 = <<11*8=88>>88 times in 8 minutes.
### Answer: 88

Expected answer: 88

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The drummer hits the drum 2*8 = <<2*8=16>>16 times in 8 minutes.
### Answer: 16

Expected answer: 16

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
For each pair of pants, John needs 2 pairs of socks.
If he plans to bring 22 pairs of socks, then he needs 22/2 = <<22/2=11>>11 pairs of pants.
### Answer: 11

Expected answer: 11

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If John needs to pack two socks for every pair of pants, then for 4 pairs of socks, he needs 4/2 = <<4/2=2>>2 pairs of pants.
### Answer: 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

Problem: If a pack of pens contains 8 pens and John has 5 packs, how many pens does he have in total?

DeepSeek 67B:

Reasoning: John has 5 packs * 8 pens/pack = <<5*8=40>>40 pens in total.
### Answer: 40

Expected answer: 40

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: John would have 5 packs * 6 pens/pack = <<5*6=30>>30 pens in total.
### Answer: 30

Expected answer: 30

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
The total number of hours the ship sailed is 60 hours.
The total number of shifts is 6.
To find out how many hours one guard will have to protect the ship, we need to divide the total number of hours by the total number of shifts.
So, 60 hours / 6 shifts = 10 hours.
Therefore, one guard will have to protect the ship for 10 hours.
### Answer: 10

Expected answer: 10

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
The total number of hours the ship sailed is still 60 hours.
The total number of shifts is now 12.
To find out how many hours one guard will have to protect the ship under this new arrangement, we need to divide the total number of hours by the total number of shifts.
So, 60 hours / 12 shifts = 5 hours.
Therefore, under this new arrangement, each guard will have to protect the ship for 5 hours.
### Answer: 5

Expected answer: 5

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
John needs a 6-meter long rope, and every meter of the rope costs $5.
So, the cost of the rope will be 6 * $5 = $<<6*5=30>>30.
The answer is: 30

Expected answer: 30

Correct? Yes

๐Ÿ”— Problem

Problem: Amelia has 42 gifts to distribute equally among her 7 best friends. How many gifts will each friend receive?

DeepSeek 67B:

Reasoning:
Amelia has 42 gifts to distribute equally among her 7 best friends.
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, each friend will receive 42/7 = <<42/7=6>>6 gifts.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
Amelia has 42 gifts to distribute equally among her 6 friends.
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, each friend will receive 42/6 = <<42/6=7>>7 gifts.
### Answer: 7

Expected answer: 7

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The mother bear wants to distribute 40 honey pots among 8 cubs.
To find out how many honey pots each cub will receive, we divide the total number of honey pots by the number of cubs.
So, each cub will receive 40/8 = <<40/8=5>>5 honey pots.
### Answer: 5

Expected answer: 5

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The mother bear wants to distribute 40 honey pots among 10 cubs.
To find out how many honey pots each cub will receive, we divide the total number of honey pots by the number of cubs.
So, each cub will receive 40/10 = <<40/10=4>>4 honey pots.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
Let's denote the penguin's height as h. According to the problem, the depth the penguin reaches is 4 times its height, so the depth is 4h.
The time it takes for the penguin to reach this depth is 28 seconds.
We need to find the square of the depth the penguin reaches in seconds, which is (4h)^2.

Solution:
(4h)^2 = 16h^2

Since we don't have the value of h, we cannot find the exact value of the square of the depth the penguin reaches in seconds. However, we can express it as 16h^2.

Expected answer: 49

Correct? No

๐Ÿ”— Problem

Problem: A swing goes back and forth 10 times every minute. How many back and forth swings will the swing accomplish in 9 minutes?

DeepSeek 67B:

Reasoning:
The swing goes back and forth 10 times every minute.
In 9 minutes, the swing will go back and forth 10*9 = <<10*9=90>>90 times.
### Answer: 90

Expected answer: 90

Correct? Yes

๐Ÿ”— Problem

Problem: An elephant can eat 7kg food per hour. How much food will an elephant eat in 4 hours?

DeepSeek 67B:

Reasoning: The elephant eats 7kg of food per hour.
In 4 hours, the elephant will eat 7kg/hour * 4 hours = <<7*4=28>>28kg of food.
### Answer: 28

Expected answer: 28

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: The elephant eats 3kg of food per hour.
In 4 hours, the elephant will eat 3kg/hour * 4 hours = <<3*4=12>>12kg of food.
### Answer: 12

Expected answer: 12

Correct? Yes

๐Ÿ”— Problem

Problem: A dragon has 3 heads and each head has 8 eyes. How many eyes does the dragon have in total?

DeepSeek 67B:

Reasoning: The dragon has 3 heads, and each head has 8 eyes, so the dragon has 3*8 = <<3*8=24>>24 eyes in total.
### Answer: 24

Expected answer: 24

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Each dragon has 3 heads, and each head has 8 eyes, so each dragon has 3*8 = <<3*8=24>>24 eyes.
There are 2 dragons, so there are 2*24 = <<2*24=48>>48 eyes in total.
### Answer: 48

Expected answer: 48

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose that each dragon instead had 11 eyes per head, not 8. How many eyes would one three-headed dragon have then?

DeepSeek 67B:

Reasoning: If each dragon has 11 eyes per head, then a three-headed dragon would have 11*3 = <<11*3=33>>33 eyes in total.
### Answer: 33

Expected answer: 33

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: The candle is 3 inches tall and burns out at a rate of 2 hours per inch.
So, it will take 3 x 2 = <<3*2=6>>6 hours for the candle to burn out completely.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning: Charlie shares 4/2 = <<4/2=2>>2 chocolates with his sister.
Charlie has 4-2 = <<4-2=2>>2 chocolates left.
Charlie doubles the amount of chocolates he has, so he now has 2*2 = <<2*2=4>>4 chocolates.
### Answer: 4

Expected answer: 4

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Charlie has 4 chocolates and decides to multiply them by 9 for a birthday party.
Charlie now has 4*9 = <<4*9=36>>36 chocolates.
### Answer: 36

Expected answer: 36

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning: Charlie shares 2/2 = <<2/2=1>>1 chocolate with his sister.
Charlie has 2-1 = <<2-1=1>>1 chocolate left.
Charlie doubles the amount of chocolates he has, so he now has 1*2 = <<1*2=2>>2 chocolates.
### Answer: 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

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?

DeepSeek 67B:

Reasoning:
If there are 36 towers in total and they are divided equally among 6 walls, then we can find the number of towers on each wall by dividing the total number of towers by the number of walls.
So, 36 towers / 6 walls = <<36/6=6>>6 towers on each wall.
### Answer: 6

Expected answer: 6

Correct? Yes

๐Ÿ”— Follow-up

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?

DeepSeek 67B:

Reasoning:
If there are 36 towers in total and they are divided equally among 10 walls, then we can find the number of towers on each wall by dividing the total number of towers by the number of walls.
So, 36 towers / 10 walls = <<36/10=3.6>>3.6 towers on each wall.
Since we cannot have a fraction of a tower, we can round the number of towers on each wall to the nearest whole number.
### Answer: 4

Expected answer: 18/5

Correct? No